Answer A: Construct a two-sample z-interval for the difference between population proportions.
What is fraction?
A fraction is a mathematical expression that represents a part of a whole or a ratio between two quantities. It is written as a/b, where a is called the numerator and b is called the denominator. The numerator represents the number of parts or units being considered, while the denominator represents the total number of parts or units in the whole.
According to given conditions:
The best method for the researcher to use to estimate the true difference between the population proportions would be to:
Answer A: Construct a two-sample z-interval for the difference between population proportions.
This is the most appropriate method for estimating the difference between population proportions, as it takes into account the variability of the sample proportions and provides a confidence interval for the true difference between the two populations. The formula for calculating the two-sample z-interval for the difference between population proportions is:
(p₁−p₂) ± z x √[(p₁(1−p₁))/₁ + (p₂(1−p₂))/₂]
Therefore, Answer A: Construct a two-sample z-interval for the difference between population proportions.
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Having a point on the line of symmetry does what to the point?
Imagine you draw a straight line down the middle of a piece of paper. This line is the line of symmetry. Anything you draw on one side of the line is going to have a mirror image on the other side of the line that looks exactly the same.
Now, if you have a point on the line of symmetry, that means the point is exactly in the middle of the line. And since the line is the same on both sides, that means the point is going to be the same on both sides too! So, the point on the line of symmetry stays in the same place and looks the same on both sides of the line.
- Dante
Study the table below and answer the questions that follows.
YearNominalGDP(£)
(in billions)
GDP Deflator
2000=100
Population
(million)
2012750104.045.0
2013325112.050.0
2014910121.054.0
i.Calculate the growth (percentage change) innominal GDP from 2012to 2013(2marks)
ii.What was the real GDP in 2012 and 2013 (2marks)
iii.By how much did the real GDP grow (2marks)
iv.If changes in the standard of living can be measure by changes in real capita; GDP,didthe
growth in nominal and realGDP rise the standard of living in this economy from 2012to
2013 (2marks)
v.Explain the reasons for the changes in the standards of living that you have found
The real GDP per capita increased by 28% from 2012 to 2013.
How to find the percentage from the total value?Suppose the value of which a thing is expressed in percentage is "a'
Suppose the percent that considered thing is of "a" is b%
Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).
We need to Write the percent as a fraction in simplest form
16.24%
So, we can rewrite it as;
16.24 / 100
16 and 24/100 or 16 6/25
So the percent as a fraction is 16 6/25
We are given that;
The table with GDP deflator and population
Now,
i. The percentage change in nominal GDP from 2012 to 2013 can be calculated as follows:
[(Nominal GDP in 2013 - Nominal GDP in 2012) / Nominal GDP in 2012] x 100
= [(112 - 75) / 75] x 100
= 49.33%
Therefore, nominal GDP grew by 49.33% from 2012 to 2013.
ii. Real GDP is nominal GDP adjusted for inflation. To find real GDP, we need to use the GDP deflator:
Real GDP (in billions) = Nominal GDP (in billions) / (GDP Deflator / 100)
In 2012: Real GDP = 75 / (50 / 100) = £150 billion
In 2013: Real GDP = 112 / (54 / 100) = £207.41 billion
iii. The percentage change in real GDP from 2012 to 2013 can be calculated as follows:
[(Real GDP in 2013 - Real GDP in 2012) / Real GDP in 2012] x 100
= [(207.41 - 150) / 150] x 100
= 38.27%
Therefore, real GDP grew by 38.27% from 2012 to 2013.
iv. To determine if the growth in nominal and real GDP increased the standard of living, we need to look at the change in real GDP per capita. Real GDP per capita is calculated by dividing real GDP by the population:
Real GDP per capita in 2012 = 150 / 50 = £3 billion
Real GDP per capita in 2013 = 207.41 / 54 = £3.84 billion
The percentage change in real GDP per capita can be calculated as follows:
[(Real GDP per capita in 2013 - Real GDP per capita in 2012) / Real GDP per capita in 2012] x 100
= [(3.84 - 3) / 3] x 100
= 28%
Therefore, by the percentage the answer will be 28% from 2012 to 2013.
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Stand with each of your feet on a separate sheet of paper.
Start to run. What would happen what Newton's Law is this
Answer:
Step-by-step explanation:
Newton's first law of motion, also known as the law of inertia, states that an object at rest will remain at rest, and an object in motion will continue in motion with a constant velocity, unless acted upon by an external force.
If you are standing on separate sheets of paper and start running, your body will experience a forward motion. However, the sheets of paper under your feet will initially resist the motion due to friction. The force of friction will create an equal and opposite force, causing the sheets of paper to slide backwards. As you continue to run, the friction between your feet and the paper will decrease, and the sheets of paper may eventually stop sliding and you will continue running with a constant velocity.
This is an example of Newton's third law of motion, which states that for every action, there is an equal and opposite reaction. The force you apply to the ground when running is the action, and the force of the ground pushing back on you is the reaction.
You have $319 of charges on your credit card. Then you charge $170 to buy Christmas presents. If your minimum payment if 6% of the balance, what will be your minimum payment?
Answer correctly and explain how you got the answer for brainliest.
Answer:
$29.34.
Step-by-step explanation:
To calculate the minimum payment, we need to find the current balance, which is the sum of the previous balance and the new charge for the Christmas presents:
Current balance = previous balance + new charge
Current balance = $319 + $170
Current balance = $489
The minimum payment is 6% of the current balance:
Minimum payment = 6% x current balance
Minimum payment = 6% x $489
Minimum payment = $29.34
Therefore, the minimum payment on the credit card would be $29.34.
Answer:
$29.34.
Step-by-step explanation:
To calculate the minimum payment, we need to find the current balance, which is the sum of the previous balance and the new charge for the Christmas presents:
Current balance = $319 + $170 = $489
Minimum payment = 6% x $489 = $29.34
The minimum payment on the credit card would be $29.34.
Hope this helped, have a GOOD DAY!!!!!
Solve the equation |2x-3| +7 =10
Simplify all fractions as much as possible. Express your answer as an integer or fraction, and not as a decimal. If the answer is a fraction, provide the answer as "a/b". Do not leave spaces between characters.
The values of x are 3 or 0. 3 and 0 will satisfy the equation |2x-3| +7 =10.
What is an absolute function?
A function that wraps an algebraic expression in absolute value symbols is known as an absolute value function. Remember that a number's distance from 0 on the number line represents its absolute value. The parent function with an absolute value is defined as f(x)=| x |.
Given equation is
|2x-3| +7 =10
Subtract 7 from both sides:
|2x-3| +7 - 7 = 10 - 7
|2x-3| = 3
Applying absolute function:
Either, 2x-3 = 3 or, 2x-3 = -3
Add 3 on both sides:
2x = 6 2x = 0
Divide both sides by 2:
x = 3 or x = 0
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write 358.41 x 10^5 in standard form
35841000 is not correct answer
give real answer
Answer:
3.5841 x 10^7
Step-by-step explanation:
358.41 / 100
and add 2 powers of 10
what is the answer to 7−2(3−8x)=
Answer:
x = [tex]\frac{7}{12}[/tex]
Step-by-step explanation:
[tex]7-2(3-8x)=7-6-16x[/tex]
Add/subtract like terms
[tex]5(3-8x)=1-16x[/tex]
Distribute 5
[tex]15-40x=1-16x[/tex]
Simplify
[tex]-40x+15=-16x+1[/tex]
Add -16x to both sides
[tex]-24x+15=1[/tex]
Subtract 15 on both sides
[tex]-24x=-14[/tex]
Divide by -24
[tex]x=\frac{7}{12}[/tex]
What is the solution to this question?
Answer:
x = -3/5
Step-by-step explanation:
Given the equation:
[tex]\displaystyle{8x+9=3x+6}[/tex]
Solve for the variable x by isolating x-term, first move subtract both sides by 3x:
[tex]\displaystyle{8x+9-3x=3x+6-3x}\\\\\displaystyle{5x+9=6}[/tex]
Subtract both sides by 9:
[tex]\displaystyle{5x+9-9=6-9}\\\\\displaystyle{5x=-3}[/tex]
Divide both sides by 5:
[tex]\displaystyle{\dfrac{5x}{5}=\dfrac{-3}{5}}\\\\\displaystyle{x=-\dfrac{3}{5}}[/tex]
Therefore x = - 3/5
Answer:
x = -3/5 (or) x = -0.6
Step-by-step explanation:
Now we have to,
→ Find the required value of x.
The equation is,
→ 8x + 9 = 3x + 6
Then the value of x will be,
→ 8x + 9 = 3x + 6
→ 8x - 3x = 6 - 9
→ 5x = -3
→ x = -3 ÷ 5
→ [ x = -3/5 ]
Hence, the answer is -3/5.
1. There is a chance that a bit transmitted through a digital transmission channel is received in error. Let X denote the number of bits in error in the next four bits transmitted. Suppose the probability mass function is given by:
Pr(X = 0) = 0.55
Pr{X = 1) = 0.22
Pr(X = 2) = 0.13
Pr(X = 3) = 0.08
Pr(X = 4) = 0.02
Determine the following:
a. the probability that two or fewer bits are transmitted in error
b.the probability that at least one bit is transmitted in error
c.the expected value of the number of bits transmitted in error
d.the standard deviation of the number of bits transmitted in error
2. Consider the following function:
f(x) = kx 0 less than or equal to x less than or equal to 8
a.Find the value of k that makes the function a valid probability density function (pdf). Report your answer as a fraction.
b. Determine Pr(2 less than or equal to x less than or equal to 3).Report your answer as fraction
c. Determine the expected value.
All the probabilities are solved and are mentioned below.
What is probability mass function?In probability and statistics, a probability mass function is a function that gives the probability that a discrete random variable is exactly equal to some value
Given is that there is a chance that a bit transmitted through a digital transmission channel is received in error. Let X denote the number of bits in error in the next four bits transmitted. Suppose the probability mass function is given by -
Pr(X = 0) = 0.55
Pr{X = 1) = 0.22
Pr(X = 2) = 0.13
Pr(X = 3) = 0.08
Pr(X = 4) = 0.02
We can find the probabilities as -
{ 1 } - the probability that two or fewer bits are transmitted in error :
P{E} = P(0) + P(1) + P(2)/∑P{n}
P{E} = 0.9/1
P{E} = 0.9
{ 2 } - the probability that at least one bit is transmitted in error -
P{E} = P(1) + P(2) + P(3) + P(4)/∑P{n}
P{E} = 0.45/1
P{E} = 0.45
{ 4 } - the expected value of the number of bits transmitted in error -
n = 0 + 1 + 2 + 3 + 4
n = 10
{ 4 } - the standard deviation of the number of bits transmitted in error -
σ = 1.0677
Therefore, all the probabilities are solved and are mentioned above.
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20x +1400-40x =1000 
Sylvia buys a snack pack of nuts as an after lunch treat.she notices that there are twice as many cashews as almonds,so she eats ten cashews and seed there a still five more cashews than almonds.how many almonds were in the snack pack?
45. 30. 15. 5.
Total snacks
15
Initially, cashews are 2x the amount of almonds
After 10 cashews are eaten, there are still 5 more cashews than almonds.
this gives us an insight into the amount eaten before they are equal
cashew eaten = 10
cashews left = almonds + 5
Therefore the almondds are 10 + 5 = 15
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say we throw a sequence of balls into n bins uniformly and independently until all bins contain at least one ball. let z be a r.v. for the number of times we threw a ball into a bin that already had at least one ball in it. write an expression for e[z]
An expression for e[z] by the given data is E[z] = (n-1)/n * H_n-1.
What is arithmetic sequence?An arithmetic sequence is sequence of integers with its adjacent terms differing with one common difference.
If the initial term of a sequence is 'a' and the common difference is of 'd', then we have the arithmetic sequence as:
a, a + d, a + 2d, ... , a + (n+1)d, ...
Its nth term is
T_n = a + (n-1)d
(for all positive integer values of n)
And thus, the common difference is
T_nT_{n+1} - T_n
for all positive integer values of n.
We are given that;
Balls are thrown uniformly and independently in all bins
Now,
We can express z as the sum of these binary random variables:
[tex]z = z_1 + z_2 + ... + z_{n-1}[/tex]
The random variables z_i are not independent, since the probability of throwing a ball into a bin that already has at least one ball in it depends on the number of balls already in the bin.
However, we can still use the linearity of expectation to calculate the expected value of z:
[tex]E[z] = E[z_1 + z_2 + ... + z_{n-1}][/tex]
By the linearity of expectation, we can distribute the expectation over the sum:
[tex]E[z] = E[z_1] + E[z_2] + ... + E[z_{n-1}][/tex]
Using these probabilities, we can calculate the expected value of each z_i:
[tex]E[z_i] = 1 * P(z_i=1) + 0 * P(z_i=0)= P(z_i=1)[/tex]
= (i-1)/n-i+1
Substituting this into the expression for E[z], we get:
[tex]E[z] = (1-1/n) + (2-1/n-1) + ... + (n-1-1/2)= (n-1)/n + (n-1)/n-1 + ... + 1/2[/tex]
This is a finite arithmetic series with n-1 terms, with first term (n-1)/n and common difference -1/n. Using the formula for the sum of an arithmetic series, we get:
[tex]E[z] = (n-1)/n + (n-2)/n + ... + 1/n= (n-1)/n * (1 + 1/2 + ... + 1/(n-1))[/tex]
This sum is known as the n-th harmonic number, denoted H_n.
Therefore, by arithmetic sequence the answer will be E[z] = (n-1)/n * H_n-1
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TV Value
You have just bought a new Sony 55" 3D television set for $1,900. The value of the television set decreases by $225 per year. How long before the television set is worth half of its original value?
Round your answer to the nearest tenth as needed.
It will take
years for the television set to be worth half of its original value.
Therefore, it will take approximately 4.2 years for the television set to be worth half of its original value.
What does "profit and loss" actually mean?All of your revenues and expenses are listed in your profit and loss statements. They also show whether operating expenses have been covered by profits earned by your business. In that case, you could claim that your business has made money. The profit and loss statement displays the profitability of a company.
We can start solving this problem by setting up an equation for the value of the TV over time. Let V be the value of the TV in dollars and t be the time in years. Then, we have:
V(t) = 1900 - 225t
We want to find the time it takes for the TV to be worth half of its original value, which means we want to find t when V(t) = 950. So, we can set up the following equation:
950 = 1900 - 225t
Solving for t, we get:
t = (1900 - 950) / 225
t = 4.22 years (rounded to two decimal places)
Therefore, it will take approximately 4.2 years for the television set to be worth half of its original value.
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A box contains more than 25 but fewer than 40 tennis balls. When the balls are counted by threes there is one left over. When counted by fives there are two left over. How many balls are in the box?
Using the given restrictions we can see that there are 37 balls on the box.
How many balls are in the box?Let's assume that the total number of balls is B.
We know that in the box there are more than 25 and fewer than 40 tennis balls, so we have the inequality.
25 < B < 40
If we count in 3's, then there is one left over, so we can write:
B = 3*n + 1 (where n is an integer number)
And if we count in 5's there are 2 leftovers:
B = 5*m + 2 (where m is an integer, from this we conclude that the number ends in a 2 or a 7)
Then we have 3 restrictions:
25 < B < 40
B = 3*n + 1
B = 5*m + 2
notice that if n = 12
B = 3*12 + 1 = 37
if m = 7
B = 5*7 + 2 = 37
and 37 is a solution of the inequality, then we conclude that there are 37 balls on the box.
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The net of a square pyramid is shown below: Net of a square pyramid showing 4 triangles and the square base. The square base has side lengths of 2 inches. The height of each triangle attached to the square is 6 inches. The base of the triangle is the side of the square. What is the surface area of the solid? (5 points) 10 square inches 16 square inches 24 square inches 28 square inches
The surface area of the solid is 28 square inches.
What is surface area of an object?The surface area of a given object is the sum or total area of all shapes forming its external surfaces. This implies calculating the area of each surface and adding them up.
In the given question, the net has a surface area of;
Area of a square = length*length
= 2*2
Area of the square base = 4 [tex]in^{2}[/tex]
Area of a triangle = 1/2 base*height
= 1/2*2*6
Area of each triangular surface = 6 [tex]in^{2}[/tex]
Surface area of the solid = (4*6) + 4
= 24 + 4
= 28
Surface area of the solid is 28 [tex]in^{2}[/tex].
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Answer:
Surface area of the solid is 28 .
Step-by-step explanation:
Top 10 Most Expensive Colleges Listed below are the annual tuition amounts of the 10 most expensive colleges in the United States for a recent year. The colleges listed in order are Sarah Lawrence, NYU, George Washington, Bates, Skidmore, Johns Hopkins, Georgetown, Connecticut College, Harvey Mudd, and Vassar. Can this "Top 10" list tell us anything about the standard deviation of the population of all U.S. college tuitions? $54,410 $51,991 $51,730 $51,300 $51,196 $51,190 $51,122 $51,115 $51,037 $50,875
The Standard deviation of the given data is 989.615.
What is Standard Deviation?The term "standard deviation" refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.
We have data as
$54,410, $51,991, $51,730, $51,300, $51,196, $51,190, $51,122, $51,115, $51,037 and $50,875.
Also we have
Count, N: 10
Sum, Σx: 515966
Mean, μ: 51596.6
Now, using the formula of Standard Deviation
= √1/ N[tex]\sum_{i=1}^n (x_i- \mu)[/tex]²
= (54410 - 51596.6)² + (51991 - 51596.6)² +(51730 - 51596.6)² + (51300 - 51596.6)²+ (51122- 51596.6)² + (51115- 51596.6)² + (51037- 51596.6)² + (50875 - 51596.6)² / 10
= √9793384.4 /10
= √979338.44
= 989.615
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Aiden is a spice trader. He sells any amount of cumin seeds from
1
11 kilogram to
1000
10001000 kilograms. He charges
$
5
$5dollar sign, 5 for
1
11 kilogram and
$
2000
$2000dollar sign, 2000 for
1000
10001000 kilograms.
�
(
�
)
p(w)p, left parenthesis, w, right parenthesis models the price (in dollars) of
�
ww kilograms of cumin seeds in Aiden's shop.
Which number type is more appropriate for the domain of
�
pp?
Choose 1 answer:
Choose 1 answer:
(Choice A) Integers
(Choice B) Real numbers
What's the appropriate domain?
Therefore , the solution of the given problem of domain comes out to be the appropriate domain for p(w) would be [1, 1000]
Explain a domain.The domain of a function is the range of possible arguments that it can accept. The cross of the an f-like functional is represented by these numbers (x). The range of potential values to which a function can be applied is known as its domain. The value that the procedure returns after inserting the x value is part of this set. An equation for a function is Y = f, where y and x are predictor variables (x). When a given value of x can produce a single value of y, a parameter is said to be in the scope of a function.
Here,
Given :
1 kilogram to 1000 kilograms.
He charges $5 for 1 kilogram and $2000 for 1000 kilograms.
So,
The appropriate domain for p(w) would be [1, 1000]
since
Aiden sells any amount of cumin seeds from 1 kilogram to 1000 kilograms.
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The complete question is "Aiden is a spice trader. He sells any amount of cumin seeds from 1 kilogram to 1000 kilograms. He charges $5 for 1 kilogram and $2000 for 1000 kilograms.
p(w) models the price (in dollars) of w kilograms of cumin seeds in Aiden's shop. What's the appropriate domain?"
perform the calculation 50°21' - 38°48'
Answer:
11° 33'
Step-by-step explanation:
[tex]21' = \left(\dfrac{21}{60}\right)^\circ = \left(\dfrac{7}{20}\right)^\circ \\50^\circ 21' = 50 \dfrac{21}{60}\; degrees\\\\38^\circ 48' = 38 \dfrac{48}{60} \;degrees[/tex]
Break
[tex]50 \dfrac{21}{60} = 49 + 1 \dfrac{21}{60}\\[/tex]
[tex]1 \dfrac{21}{60} = \dfrac{1 \times 60 + 21}{60} = \dfrac{81}{60}[/tex]
Therefore
[tex]50^\circ21' - 38^\circ48' = 49\dfrac{81}{60} - 38\dfrac{48}{60}[/tex]
Subtract the whole numbers:
49 - 38 = 11
Subtract the fractions:
[tex]\dfrac{81}{60} - \dfrac{48}{60} = \dfrac{33}{60} = 33'[/tex]
So
50°21' - 38°48' = 11° 33'
Determine the value c so that each of the following functions can serve as a probability distribution of the discrete random variable X:(a) f(x) = c(x2 + 4), for x = 0, 1, 2, 3;(b) f(x) = c (2x) (33-x) , for x = 0, 1, 2. 2.^^(2 is supposed to be directly above x, but not in fraction form, same for 3 and 3-x)
The value of c is 1/17.
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
Here it is given that the function f(x) can serve as a probability distribution of the discrete random variable X when f(x) = c(x² + 4), for x = 0, 1 ,2
We have to find the value of c
Since f(x) represents the probability distribution x = 0, 1 ,2
So we have f(0)+f(1)+f(2)=1
c(0²+4)+c(1²+4)+c(2²+4)=1
4c+5c+8c=1
17c=1
Divide both sides by 17
c=1/17
Hence, the value of c is 1/17.
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Determine the value c so that each of the following function can serve as a probability distribution of the discrete random variable X when f(x)=c(x2+4), for x=0, 1,2?
a.
1/3
b.
1/17
c.
1/2
d.
1/13
Stretch y=|x|-3 in the y direction write the new equation and draw the new graph
The value of the transformed function after a vertical stretch in the y direction is h ( x ) = k ( | x | - 3 ) , where k is the scale factor
How does the transformation of a function happen?The transformation of a function may involve any change.
Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs), etc.
If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:
Horizontal shift (also called phase shift):
Left shift by c units: y=f(x+c) (same output, but c units earlier)
Right shift by c units: y=f(x-c)(same output, but c units late)
Vertical shift:
Up by d units: y = f(x) + d
Down by d units: y = f(x) - d
Stretching:
Vertical stretch by a factor k: y = k × f(x)
Horizontal stretch by a factor k: y = f(x/k)
Given data ,
Let the parent function be represented as f ( x )
Now , the value of f ( x ) is
f ( x ) = ( | x | - 3 ) be equation (1)
Now , when the function is stretched in the y direction , we get
Vertical stretch by a factor k: y = k × f(x)
On simplifying , we get
Let the transformed function be represented as h ( x )
where the value of h ( x ) is
Let the scale factor of stretching be k
h ( x ) = k ( | x | - 3 )
Hence , the transformed function is h ( x ) = k ( | x | - 3 )
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Simplify: (2+1)2 Responses
Answer:
6
Step-by-step explanation:
Simplifying the expression (2+1)2, we can first perform the operation within the parentheses, which gives us:
(2+1)2 = 3 x 2
Then, we can multiply 3 by 2, which gives us:
3 x 2 = 6
Therefore, the simplified expression for (2+1)2 is 6
help!!!!!!!!!!!!!!!!!
Answer:
y = 4x + 3
Step-by-step explanation:
See picture below :)
Solve and check the following equations. Show your solution.
15.) 7x + 5 = 12x - 10
16.) 26 = 24 - x
17.) 2(6x - 7) = 10
Answer:
15. x = -3.
16. x = -2.
17 x = 2.
Step-by-step explanation:
To solve the equation 7x + 5 = 12x - 10, we want to isolate the variable x on one side of the equation. We can do this by adding or subtracting terms from both sides of the equation until we have x by itself.
First, let's simplify both sides of the equation by combining like terms:
7x + 5 = 12x - 10
-7x -7x (subtracting 7x from both sides)
5x + 5 = -10
Next, let's isolate the term with x by subtracting 5 from both sides of the equation:
5x + 5 = -10
-5 -5 (subtracting 5 from both sides)
5x = -15
Finally, let's solve for x by dividing both sides of the equation by 5:
5x = -15
x = -3
Therefore, the solution to the equation 7x + 5 = 12x - 10 is x = -3.
26 = 24 - x
-24 -24 (subtracting 24 from both sides)
2 = -x
Next, let's isolate the variable x by multiplying both sides of the equation by -1:
2 = -x
-1 -1 (multiplying both sides by -1)
-2 = x
Therefore, the solution to the equation 26 = 24 - x is x = -2.
2(6x - 7) = 10
12x - 14 = 10
Next, let's isolate the term with x by adding 14 to both sides of the equation:
12x - 14 = 10
+14 +14 (adding 14 to both sides)
12x = 24
Finally, let's solve for x by dividing both sides of the equation by 12:
12x = 24
x = 2
Therefore, the solution to the equation 2(6x - 7) = 10 is x = 2.
Your itinerary contains a grid map of Washington D.C., with each unit on the grid representing 0.25
miles. If Arlington Cemetery is located at (−1,1)
and the Pentagon is located at (5,−6)
, what is the direct distance (not walking distance, which would have to account for bridges and roadways) between the two landmarks in miles? Round your answer to two decimal places, if necessary.
It is found that the distance between the two memorials is of 1,42 miles.
The distance between two points (x1 , y1) and (x2 , y2) is of:
Distance formula = [tex]\sqrt{(x2-x1)^{2} +(y2-y1)^{2} }[/tex]
One memorial is at point (3,-1).
The other is at point (7, -5).
Thus, in the coordinate grid, the distance is of:
D = 5.66
In the coordinate, the distance is of 5.66 units. Each unit is worth 0.25 miles, thus:
D = 5.66 units
The distance between the two parks is of 1.42 miles.
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100 POINTS BRAINLIEST HELP A business owner paid $35,000 for land and $80,000 for a building with their money. What is the shareholder's equity?
A. $115,000
C. $35,000
B. $80,000
D. $57,500
Answer:
A
Step-by-step explanation:
hope this helps
Fatima's curtain company is making curtains for a local hotel. She wants each curtain to be 48 inches long. At the fabric store, fabric is sold by the foot. If Fatima's curtain company wants to make 62 curtains, how many feet of fabric will she need? 1 inch= foot 4 - 12
Answer:
So, Fatima's curtain company needs to purchase 248 feet of fabric to make the curtains for the local hotel.
Step-by-step explanation:
To find out how many feet of fabric Fatima's curtain company needs, we first need to calculate the total length of fabric required for all 62 curtains.
Each curtain is 48 inches long, so the total length of fabric required for one curtain is:
48 inches = (48/12) feet = 4 feet
Therefore, the total length of fabric required for 62 curtains is:
62 curtains x 4 feet/curtain = 248 feet of fabric
So, Fatima's curtain company needs to purchase 248 feet of fabric to make the curtains for the local hotel.
Sorry about the bad quality of the pic, can i get an explanation with answer, thanks. :)
Answer:
3. Initial cost = 99 dollars. Each hour (h) is 19 dollars. The total value will be initial cost + hours*(cost per hour)=> t=99+19h.
4. She will be using the car for 3 days. Each day costs 29.99. There is no initial cost, so her total cost will be 29.99*3=89.97 dollars.
Prove the statement below that we explored in class, but prove it differently from the notes, rather do it by applying the “ working backwards” technique:
If x > 0, then x + (1/x) = and > 2
The solution is, x²-14x+24
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign. In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.
here, we have,
Given:
x=12, x=2
Solution: In order to determine the quadratic equation we need to move the integers onto the side where x is and then distribute.
Move the integers
Solution #1
x-12 = 0
Solution #2
x-2=0
Create and expression and distribute
(x-12)(x-2)=0
solving we get,
x²-14x+24 = 0
Therefore, after completing the steps we were able to determine that the quadratic equation that will have solutions of x = 12 and x = 2 is x^2 - 14x + 24.
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You are in charge of production of a very in-demand part. Your clients have an expectation that the probability of a defective part is under 10%. The table below summarizes part production at five of your facilities. Find the following probabilities.
Rejected Parts Good Parts Total
Factory A 120 3380 3500
Factory B 125 2575 2700
Factory C 210 4790 5000
Factory D 712 3988 4700
Factory E 120 3480 3600
Total 1287 18213 19500
Write your answer as a percent rounded to one decimal place.
1. What is the probability that a randomly selected part is defective?
2. What is the probability that a randomly selected part is not defective?
3. What is the probability that a part came from Factory A?
Be careful on the following.
4. What is the probability of a defect, knowing the part came from Factory A?
5. What is the probability of a defect, knowing the part came from Factory B?
6. What is the probability of a defect, knowing the part came from Factory C?
7. What is the probability of a defect, knowing the part came from Factory D?
8. What is the probability of a defect, knowing the part came from Factory E?
9. Based upon these probabilities, which factory should be investigated more?
Here is the recent production history from the factory you flagged as a problem. It shows each shift’s production and number of rejected parts.
Shift Rejected Parts Good Parts Total
1 51 549 600
2 72 778 850
3 50 600 650
4 57 453 510
Total 230 2380 2610
10. For this time period, what is the probability of a defect for this factory?
11. Investigate the probability of a rejected part, knowing that it came from a known shift. Report which shift appears to be the biggest contributor.
The probability of a rejected part, knowing that it came from a known shift can be calculated as follows:
Shift 1: (51/600) x 100% = 8.5%
Shift 2: (72/850) x 100% = 8.5%
Shift 3: (50/650) x 100% = 7.7%
Shift 4: (57/510) x 100% = 11.2%
The probability that a randomly selected part is defective is (1287/19500) x 100% = 6.6% (rounded to one decimal place).
The probability that a randomly selected part is not defective is (18213/19500) x 100% = 93.4% (rounded to one decimal place).
The probability that a part came from Factory A is (3500/19500) x 100% = 17.9% (rounded to one decimal place).
The probability of a defect, knowing the part came from Factory A is (120/3500) x 100% = 3.4% (rounded to one decimal place).
The probability of a defect, knowing the part came from Factory B is (125/2700) x 100% = 4.6% (rounded to one decimal place).
The probability of a defect, knowing the part came from Factory C is (210/5000) x 100% = 4.2% (rounded to one decimal place).
The probability of a defect, knowing the part came from Factory D is (712/4700) x 100% = 15.1% (rounded to one decimal place).
The probability of a defect, knowing the part came from Factory E is (120/3600) x 100% = 3.3% (rounded to one decimal place).
Based upon these probabilities, Factory D should be investigated more as it has the highest probability of a defective part among all the factories.
The probability of a defect for the flagged factory is (230/2610) x 100% = 8.8% (rounded to one decimal place).
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Find the value of y.
y
3 cm
19 cm
2 cm
y = [?] cm
Enter a decimal rounded to the nearest tenth.
The value of y is given as follows:
y = 4.3 cm.
How to obtain the value of y?The value of y is obtained applying the two secant segment theorem, which means that the following equation will hold true:
3(3 + y) = 2(2 + 9).
(a secant is a segment that crosses the circumference of the circle twice, and the product has to be equal for each).
Then we apply the distributive property to each side of the equality, and then isolate the variable y, as follows:
9 + 3y = 22
3y = 13
y = 13/3
y = 4.3.
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