Answer:
Line Segment
Step-by-step explanation:
A bag contains 9 blue marbles and 45 white marbles. If a representative sample contains 2 blue marbles, then how many white marbles would you expect it to contain? Explain.
Because the ratio of blue marbles to white marbles is ___
in the population, the expected number of white marbles is ___ times the number of marbles in the representative sample. There should be ___ white marbles.
Please help me ASAP ty!
10 is five times larger than 2, and the ratio of blue to white marbles in the population is 1:5
What is ratio ?
Ratio can be defined as given value divided by total value.
The ratio of blue marbles to white marbles in the population is:
9 blue marbles : 45 white marbles
which simplifies to:
1 blue marble : 5 white marbles
If a representative sample contains 2 blue marbles, we can use this ratio to find the expected number of white marbles in the sample:
2 blue marbles × 5 white marbles/blue marble = 10 white marbles
Therefore, we would expect the representative sample to contain 10 white marbles.
To explain this result, we can think of the representative sample as a smaller version of the population, where the ratio of blue marbles to white marbles is the same. Since we know that the ratio of blue to white marbles in the population is 1:5, we can use this ratio to estimate the number of white marbles we would expect to see in the sample, given that we have observed 2 blue marbles. In this case, we would expect to see 10 white marbles,
Hence, 10 is five times larger than 2, and the ratio of blue to white marbles in the population is 1:5
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5 is what percent smaller than 10?
Answer:
50% smaller
Step-by-step explanation:
!!!! ANSWER ASAP 40 POINTS !!!! the expression x^2-x-6 can be written as (x+2)(x+Z) where Z represents a number. What is the value of Z? (please explain the steps as well thank you very much)
Answer: -3
Step-by-step explanation:
for an equation [tex]ax^2+bx+c[/tex] to factor you need to figure out what numbers add to b and multiply to c. In this case b is -1 and c is -6. It is easier because one of the numbers has already been figured out for you so what number combined with 2 will add to -1 and multiply to -6? the answer would be -3 because 2+(-3) is -1 and 2*(-3) is -6.
Type the correct answer in the box. use numerals instead of words. if necessary, use / for the fraction bar. a chessboard has 64 squares. george places 1 grain of rice on the first square, 2 grains on the second square, 4 grains on the third square, 8 grains on the fourth square, and so on, until he has placed grains of rice on 10 squares. once george has put rice on the 10th square, he has placed a total of____grains of rice on the chess board.
George has put rice on the 10th square, he has placed a total of 1,023 grains of rice on the chessboard.
What is geometric progression ?
A geometric progression, also known as a geometric sequence, is a sequence of numbers in which each term is obtained by multiplying the previous term by a fixed number called the common ratio.
The general form of a geometric progression is:
[tex]a, ar, ar^2, ar^3, ...[/tex]
where:
a is the first term of the sequence
r is the common ratio between successive terms
Given by the question:
To find the total number of grains on the first 10 squares, we can use the formula for the sum of a geometric series, which is:
[tex]sum = a(1 - r^n) / (1 - r)[/tex]
where:
a is the first term (in this case, 1)
r is the common ratio (in this case, 2)
n is the number of terms (in this case, 10)
Using this formula, we can calculate the sum of the grains of rice on the first 10 squares as:
[tex]sum = 1(1 - 2^10) / (1 - 2)[/tex]
[tex]sum = 1(1 - 1024) / (-1)[/tex]
[tex]sum = 1023[/tex]
Therefore, once George has put rice on the 10th square, he has placed a total of 1,023 grains of rice on the chessboard.
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LLLLLLLLLLLLLLLLLLOSERRRRRRRRRRRRRRRRRRRRRRRRRRRRR (im quitting....)
Answer:
good for you
Step-by-step explanation:
:)
Answer;
the only LLLLLLLLLLLLLLLLLLOSERRRRRRRRRRRRRRRRRRRRRRRRRRRRR is you
Step-by-step explanation:
help me plsssssssssssss
Answer: i think its 40
Step-by-step explanation: because triangles in general are supposed to have the angle 180 and 40 add 400 add 100 equals 180
The bacteria took 1 hour and 40 minutes to fill the initial bottle explain how it only took 10 minutes to fill 3 additional empty bottles
Due to the exponential growth of bacteria it only took 10 minutes to fill 3 additional empty bottles.
What is an exponential function?
The formula for an exponential function is f(x) = a^x, where x is a variable and a is a constant that serves as the function's base and must be bigger than 0.
The bacteria took more time to double from 1 cell to a bottle full of cells. Once the bottle was full, each cell in the full bottle doubled, causing an additional bottle to be filled in 5 minutes.
Then the 2 full bottles doubled in the next 5 minutes, causing all 3 bottles to be full.
The answer needed is -
The full bottle doubled after 5 minutes.
The 2 full bottles doubled after 5 minutes.
Exponential growth is a multiplicative rate of change.
Therefore, due to exponential growth bacteria filled the bottle fast.
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Answer:
The bacteria took more time to double from 1 cell to a bottle full of cells. Once the bottle was full, each cell in the full bottle doubled, causing an additional bottle to be filled in 5 minutes. Then the 2 full bottles doubled in the next 5 minutes, causing all 3 bottles to be full.
what is 105 times 3?
The value of the given expression 105 times 3 is equal to 315.
Calculation of the expression 105 times 3 is equal to :
In Mathematics the word 'times' represents the multiplication.Here 105 times 3 means 105 multiply by 3.1
1 0 5
× 3
3 1 5
Explanation : 3 multiply by to unit digit 5 we 15.Write 5 below 3 and 1 carry forwarded to tens digit.Now multiply 3 by 0 we get 0 add 1 carry forwarded value write next to 5.At last multiply 3 to 1 we get 3 write next to 1.Final result is 315.Therefore, the calculated value of the expression 105 times 3 is equal to 315.
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A 6-sided die is tossed. Find P (even | less than 3).
The value of probability P (even | less than 3) is, 1/3.
What is mean by Probability?The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.
Given that;
A 6-sided die is tossed.
Here, Two numbers 1 and 2 are less than 3.
Hence, The value of P (even | less than 3) is,
⇒ 2 / 6
⇒ 1 / 3
Thus, The value of P (even | less than 3) is, 1/3.
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what is 180lbs in kg?
180 lbs is approximately equal to 81.65 kg ( rounded to four decimal places )
The conversion factor to convert lbs to kilogram is 0.453592
1 lbs = 0.453592 kg
The conversion is the process of changing the unit of one quantity to another units
The conversion factor is defined as the number that is used to change one unit to another units by multiplying or dividing
The mass in kg = The mass in lbs × conversion factor
Substitute the values in the equation
1 lbs = 0.453592 kg
180 lbs = 180 × 0.453592
Multiply the numbers
= 81.6466 ( rounded to four decimal places )
Therefore, 180lbs is 81.6466
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A park is in the shape of a right triangle with an area of 294 yd². The shortest side of the park (one of the legs) is 21 yds. The city council would like to add a path along the longest side of the park (the hypotenuse). How long would the path be?
So the length of the path along the longest side of the park would be 35 yds.
Why a triangle exists.The three sides of a triangle, a three-sided polygon in geometry, are made up of three edges and three vertices. A triangle's most important property is that its internal angles can all be added up to 180 degrees.
The area of a right triangle is given by the formula A = (1/2) * b * h, where b and h are the lengths of the legs of the triangle. Since one of the legs of the park is 21 yds and the area is 294 yd², we can solve for the length of the other leg:
A = (1/2) * b * h
294 = (1/2) * 21 * h
h = (2 * 294) / 21
h = 28
So the length of the other leg of the triangle is 28 yds.
To find the length of the hypotenuse, we can use the Pythagorean theorem, which states that the sum of the squares of the legs of a right triangle is equal to the square of the length of the hypotenuse:
c² = a² + b²
Plugging in the values we have, we get:
c² = 21² + 28²
c² = 441 + 784
c² = 1225
c = 35
So the length of the path along the longest side of the park would be 35 yds.
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Two companies offer the following rates for renting photocopiers:
- Kan Enterprise: $50 per month and $0.06 per copy;
- Enterprise Dev: $75 per month and $0.05 per copy,
For what number of copies is the total price charged by companies the same?
How does changing the sign of the constant a from positive to negative affect the domain and range of f(x) = a|x|?
When changing the sign of the constant a from positive to negative, the domain remains the same. But the range changes.
A function's range is the set of all values it can accept, whereas its domain is the set of all values for which it is defined.
Consider the given function f(x)=a|x|. Let us consider "a" takes positive values that is [tex]a\geq0[/tex]. Then, the given function is defined as follows,
[tex]f(x)=\begin{cases}a(x)=ax}\; &x\geq0\\{a(-x)=-ax\;&x < 0\end{cases}[/tex]
Then, the domain will be [tex]\text{domain}=\mathbb{R}\{(-\infty, \infty)[/tex] and the range will be given as [tex]\text{Range} = \text{only non-negative real numbers} = \mathbb{R}^++\{0\}[/tex].
Now let us consider "a" takes negative values that is a<0. Then, the given function is defined the same and the domain will remain the same. But the range will be given as [tex]\text{Range} = \text{only negative real numbers} = \mathbb{R}^-+\{0\}[/tex].
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translate each word phrases into a number phrase 1. Fifteen increased by twenty 2. The quotient of a number and 4 3. The difference of twice a number and 11 4. The product of two consecutive numbers 5. A number increased by 24 is equal to thrice 10 6. Twice a number is 84-8 7. Seven minus four times a number is 15
Answer:
Here is the answer.
Step-by-step explanation:
The translation of the phrases are written below,
Fifteen increased by twenty can be written as ,15 + 20. The quotient of a number and 4 can be written as x/4( where x is the number). The difference of twice a number and 11 can be written as 2x - 11, where x is the number. The product of two consecutive numbers can be written as n(n+1), where n is the smaller of the two consecutive numbers. A number increased by 24 is equal to thrice 10 can be written as x + 24 = 3*10, where x is the number. Twice a number is 84-8 can be written as 2x = 84 - 8, where x is the number. Seven minus four times a number is 15 can be written as 7 - 4x = 15, where x is the number.How to convert 64kg to pounds?
The value of weight of 64 kg when converted to pounds is 141.09568 pounds.
kilogram is the standard unit of mass in the International System of Units (SI), while pounds are a common unit of mass used in the United States and other countries.
To Know how to convert between different units of measurement is essential for accurate calculations and comparisons. convert 64kg to pounds, you can use the formula: 1 kilogram is equal to 2.20462 pounds.
Therefore, to convert 64kg to pounds, you would multiply 64 by 2.20462.
64 x 2.20462 = 141.09568 pounds
So, weight of 64kg is equivalent to 141.09568 pounds.
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six out of every 9 households have a guest room. margaret asked x households in her neighborhood if they have a guest room, and 24 said yes. find x.
Using proportions, we determined 24 out of every 36 households have a guest room.
What are proportions?Proportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole. Proportion definition says that when two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal.
Given that, six out of every 9 households have a guest room.
So, the ratio is 6:9
Margaret asked x households in her neighborhood if they have a guest room, and 24 said yes
So, the ratio is 24:x
Now, the proportion is 6:9::24:x
6x=9×24
x=36
Hence, 24 out of every 36 households have a guest room.
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how to convert 147 lbs to kg?
The measure of the value after converting 147 pounds to kilograms is equal to ( 66.6792 ) kilograms.
Pounds and Kilograms are units to measure the weight of a given body.Relation of 1 kilograms = 2.20462 pounds.
⇒ 2.20462 pounds = One kilograms
⇒ 1 pounds = ( 1 / 2.20462 ) kilograms
⇒1 pounds = ( 0.4536 ) kilograms
Substitute the value 147 pounds we get,
⇒ 147 pounds = ( 147 × 0.4536 ) kilograms
⇒ 147 pounds = ( 66.6792 ) kilograms
Therefore, after converting the value 147 pounds to kilogram is equal to ( 67.1328 ) kilograms .
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Discuss how important you think it is to protect ecosystems from human-induced change, such as changes in habitat orintroduction of invasive species. Should natural conditions be preserved at all costs, should human needs always prevail, or is the answer somewhere in between? Discuss the negative consequences of taking an approach that you disagree with.
Answer:
It is extremely important to protect ecosystems from human-induced change, as ecosystems provide vital services such as air and water purification, climate regulation, and nutrient cycling, which are essential for human well-being.
Preserving natural conditions at all costs may not always be feasible, as human populations continue to grow, and there may be competing demands for resources. On the other hand, prioritizing human needs over the needs of the ecosystem can have detrimental consequences in the long run.
Taking an approach that does not prioritize ecosystem protection can lead to the loss of biodiversity, the degradation of natural resources, and the loss of ecosystem services. These negative consequences can lead to reduced agricultural productivity, increased incidence of natural disasters, and negative impacts on human health.
Finding a balance between human needs and the needs of the ecosystem is therefore critical. This can be achieved through sustainable development practices that promote economic growth while preserving the environment, such as the use of renewable resources, ecosystem restoration, and sustainable agriculture practices.
Does the following equation show a linear or nonlinear function? Linear Nonlinear y=-2x³-6
The equation y = -2x³ - 6 represents a nonlinear function.
What is linear function and nonlinear function?
The highest for linear functions is only one, whereas nonlinear functions have more.
The equation y = -2x³ - 6 represents a nonlinear function because the highest power of x, which is 3, is greater than 1. In general, a function is considered linear if it can be written in the form y = mx + b, where m is the slope of the line and b is the y-intercept. In this case, the equation cannot be written in that form because of the presence of x³, which makes the relationship between x and y nonlinear.
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During a sale at the electronics store, movies sold out for 2 dollars and cd’s sold out for 1. 50 she bought a total of 5 movies and cds how many of each did she buy
She bought three movies and four CD,s and this can be found by doing sum.
we given that price for each movie= 3$.
price for each CD = 2.50$.
The total movies and CD,s bought= 7.
Total dollars spent by her = 19$.
Therefore, the number of movies bought= 3+3+3= 9. ( No. of movies= 3).
similarly, the number of CD,s bought= 2.5+2.5+2.5+2.5= 10.( No. of CD,s= 4).
Hence, out of 19$ , 10 dollars were spent to buy CD,s and the other 9 dollars were spent to buy movies.
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Complete question:- During a sale at the electronics store, movies sold for $3 and CDs sold for $2.50. Isla spent $19 and bought a total of 7 movies and CDs. How many of each did she buy?
A yoga class begins at 6:45 pm and lasts for 1/2 hours. Jo 40 minutes to pack away after the class finishes. What time does jo finish packing after the class?
Answer:
7:55
Step-by-step explanation:
If the class is 30 minutes it would end at 7:15 then add 40 minutes to get 7:55.
it is impossible to get 8 aces when selecting cards from a shuffled deck. Express the indicated degree of likelihood as a probability value between 0 and 1 inclusive. The probability is
It is not possible to get 8 aces from a standard 52 cards deck. The indicated degree of likelihood as a probability value is 0 (Zero).
The procedure for probability states that the possibility of an occurrence occurring, or P(E), equals the proportion of the number of favorable outcomes to the number of total outcomes.
Mathematically,
Possibility (E) = favorable outcomes/total outcomes.
We know that there are four aces in total in a 52-card deck.
Therefore the probability of getting 8 aces can be expressed by using the factorial of the number. This can result in a decrease of numbers by multiplying the previous number, this is called the factorial of a number.
P(8A) = 7/52 × 6/51 × 5/50 × 4/49 × 3/48 × 2/47 × 1/46 × 0/45
P(8A) = 0
The probability of getting is zero.
Therefore, it is not possible to get 8 aces from a standard 52 cards deck.
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What sum of money lent out at 6 1/4 p. A to get 75 rupees as intrest in 8 months
The sum of money lent out at 6 1/4 p.a. to get 75 rupees as interest in 8 months is 1800 rupees.
To find the sum of money lent out at 6 1/4 p.a. to get 75 rupees as interest in 8 months, we can use the formula for simple interest:
I = P × R × T
Where:
- I is the interest
- P is the principal (the sum of money lent out)
- R is the annual interest rate
- T is the time in years
In this case, we know that I = 75, R = 6.25% (6 1/4 p.a.), and T = 8/12 (8 months is 8/12 of a year). We can plug these values into the formula and solve for P:
75 = P × 6.25% × 8/12
75 = P × 0.0625 × 0.6666666666666666
75 = P × 0.041666666666666664
P = 75 ÷ 0.041666666666666664
P = 1800
Therefore, the sum of money lent out at 6 1/4 p.a. to get 75 rupees as interest in 8 months is 1800 rupees.
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How to convert 73kg to pounds?
The value of weight of 73 kg when converted to pounds is 160.93726 pounds.
kilogram is the standard unit of mass in the International System of Units (SI), while pounds are a common unit of mass used in the United States and other countries.
To Know how to convert between different units of measurement is essential for accurate calculations and comparisons. convert 73kg to pounds, you can use the formula: 1 kilogram is equal to 2.20462 pounds.
Therefore, to convert 73kg to pounds, you would multiply 73 by 2.20462.
73 x 2.20462 = 160.93726 pounds
So, weight of 73kg is equivalent to 160.93726 pounds
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Gabriella left her house and drove to the store. She stopped and went inside. From there, she drove in the same direction until she got to the bank. She stopped and went inside the bank. Then she drove home. The graph below shows the number of blocks away from home Gabriella is xx minutes after she left her house, until she got back home.
Answer: 5 minutes(not sure)
Step-by-step explanation:
She first left her house and went to the shops which approximately says in the graph that she went there at 2 time elapsed(minutes) and then left a 5 when you take that away it gives u 3 minutes
So to find out how long it took her to come out of the bank she arrived at 7 time elapsed (minutes) and then left at 12, you do 12-7=5
Therefore i think the answer is 5 minutes
can it be concluded that the given parallelogram is either a rhombus, a rectangle, or a square? explain.
Here in the given diagram all the sides are equal and the diagonals are perpendicular. So the given parallelogram is a rhombus.
Here the data given are
ABCD is a parallelogram
∠BOC = 90°
So AOB = 180 - ∠BOC ( angle of a straight line is 180°)
∠ AOB = 180-90 = 90°
Also ∠ COD = ∠DOA = 90°
OA = OC, OB= OB ( Diagonals of a parallelogram bisect each other)
So the triangles are congruent. So AB = BC
Similarly ΔBOC and ΔCOD are congruent, BC= CD
Similarly ΔCOD and ΔDOA are congruent, CD= AD
So, AB = BC = CD= DA
Since all sides are equal and diagonals are perpendicular, the given parallelogram is a rhombus.
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The complete question is given as the image below.
prove that if a symmetric matrix is invertible, then its inverse is symmetric also.
Let A be a symmetric matrix that is invertible. This means that there exists a matrix B such that AB = BA = I, where I is the identity matrix. We want to show that B is also symmetric, that is, [tex]B = B^{T}[/tex]
To prove this, we can use the definition of matrix inversion. We know that AB = I, so we can take the transpose of both sides:
[tex]AB^{T} = I^{T}[/tex]
Using the transpose rules, we can rewrite this as:
[tex]B^{T} * A^{T}[/tex] = I
Now, we can multiply both sides of this equation by A:
[tex]B^{T} * A^{T}[/tex]* A = A
Since A is invertible, we can multiply both sides by A⁻¹ to get:
[tex]B^{T}[/tex] = A⁻¹
Therefore, we have shown that the inverse of a symmetric matrix A, which we denote as A⁻¹, is also symmetric, since A⁻¹ = [tex]B^{T}[/tex], which is the transpose of the matrix B.
Hence, we have proved that if a symmetric matrix is invertible, then its inverse is symmetric as well.
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Kourtney accrued $1,375 after 6 months. If she deposited 50,000 at the start what was the interest rate? PLS I NEED HELP ASAP
Answer: r = 5.5%
Step-by-step explanation:
6/12 = 0.5 (years)
(I=Prt) || 1375 = 50000 * r * 0.5
1375 = 25000r
1375/25000 = 25000r/25000
0.055 = r
0.055 * 100% = r
5.5% = r
(Please correct me if I'm wrong)
Which choice is equivalent to the fraction below when x is an appropriate value? Hint: Rationalize the denominator and simplify.
[tex]-\frac{1}{2} .(1 + \sqrt{3} )[/tex] is equivalent to the fraction below when x is an appropriate value .
What are equivalent expressions?
Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value(s) for the variable(s).
How to solve Fractions ?
Step 1: Find the least common denominator. ...
Step 2: Multiply the least common denominator. ...
Step 3: Simplify the equation. ...
Step 4: Simplify until there's one term on both sides. ...
Step 5: Divide the coefficient on both sides.
Now,
[tex]\frac{\sqrt{13} }{\sqrt{3} - 3 } \\\\= \frac{\sqrt{3} }{\sqrt{3} - 3 }. \frac{\sqrt{3} +3 }{\sqrt{3} +3} \\\\= \frac{3 +3 \sqrt{3} }{3 - 9} \\\\= -\frac{1}{2} .(1 + \sqrt{3} )[/tex]
Hence , [tex]-\frac{1}{2} .(1 + \sqrt{3} )[/tex] is equivalent to the fraction below when x is an appropriate value .
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Ben reached into his wallet without looking and took out two bills. What is the probability that each bill will be worthless $10
The probability that Ben will find two worthless $10 bills in his wallet is practically impossible.
What is Probability?Probability is a branch of mathematics that deals with the likelihood of an event occurring. It is the measure of the likelihood of an event occurring divided by the number of possible outcomes. Probability is used to determine the chances of a particular outcome occurring and can range from 0 to 1.
The probability that each bill will be a worthless $10 bill is very low. This is because the US Federal Reserve has discontinued the production of $10 bills in 2006, so the likelihood of finding two of them in circulation is highly unlikely. Additionally, bills are often replaced after a certain amount of time due to wear and tear, so the probability of finding two bills in circulation that are both from the discontinued series is even lower.
The chances of finding two $10 bills from the discontinued series in circulation is so extremely rare that it has been estimated to be one in ten million. Even though it is possible to find two bills from the discontinued series, it is extremely unlikely that one would carry two of them in their wallet. Therefore, the probability that Ben will find two worthless $10 bills in his wallet is practically impossible.
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