Answer:
Step-by-step explanation:
Willis’s mistake is that he used the differences of 6, 10 and 14 instead of the differences of 7, 17 and 31. For a linear function, the y values should have a constant rate of change and not the differences.
Mbhalati says he will be charged R180 when making a deposit of notes to the value of R1500 and R500 in coins.Show by means of calculations whether his statement is valid
Mbhalati's statement is valid.
The charge of R180 is less than the total value of his deposit is R2000.
To determine whether Mbhalati's statement is valid, we need to calculate the total value of his deposit and compare it to the stated charge.
Given information:
Value of notes deposited: R1500
Value of coins deposited: R500
Charge for the deposit: R180
To calculate the total value of Mbhalati's deposit, we add the value of the notes and the value of the coins:
Total deposit value = Value of notes + Value of coins
Total deposit value = R1500 + R500
Total deposit value = R2000
Now, let's compare the total deposit value to the stated charge:
Total deposit value = R2000
Stated charge = R180
Mbhalati's statement would be valid if the stated charge (R180) is equal to or less than the total deposit value (R2000).
Let's check:
Is R180 ≤ R2000?
Yes, R180 is less than R2000.
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Luther bought a snack pack of crackers, and he thinks it's interesting that the cylindrical
tower of crackers came in a box shaped like a square prism. He wonders how much extra
space the box contains around the cracker tower. The box has a height of 8 inches and a side
length of 2 inches. If the tower of crackers has a height of 7.9 inches and a diameter of
1.9 inches, what is the volume of the extra space in the box?
Round your answer to the nearest tenth.
The volume of the extra space in the box is 9.0 cubic inches.
How to estimate the volume of the extra space in the box?To estimate the volume of the extra space in the box, we shall find the difference between the volume of the box and the volume of the cracker tower.
First, volume of the box:
The volume can be calculated as the product of the height, length, and width (we assume the width is the same as the side length since it is a square prism):
Box volume = height * length * width
Given:
height = 8 inches
side length = 2 inches
Box volume = 8 * 2 * 2
= 32 in³
Next, the volume of the cracker tower:
The tower of the cracker is cylindrical, so we shall use the formula for the volume of a cylinder to estimate the volume:
Tower volume = π * (radius²) * height
Given:
height = 7.9 inches
diameter = 1.9 inches
radius = diameter / 2 = 1.9 / 2 = 0.95
Tower volume = π * (0.95)² * 7.9
≈ 22.994 in³ (rounded to three decimal places)
Then, the volume of the extra space in the box:
Volume of the extra space = Tower volume - Box volume:
= 32 in³ - 22.994 in³
≈ 9.006 in³ (rounded to three decimal places)
Therefore, the volume of the extra space in the box = 9.0 in³.
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Need to figure out how to solve this one. TIA
All the slopes of tables are,
13) m = 2
14) m = - 1/1
15) m = 0
16) m = 3
17) m = infinite
18) m = - 1/3
We have to given that;
All the tables are shown.
And, To find the slope of all the table.
Since, We know that;
Slope passing through the points (x₁ , y₁) and (x₂, y₂) is defined as,
⇒ m = (y₂ - y₁) / (x₂ - x₁)
Hence, We get;
13) Two points are (- 2, - 3) and (- 1, - 1)
Hence, Slope is,
m = (- 1 + 3) / (- 1 + 2)
m = 2/1
m = 2
14) Two points are (- 4, 6) and (0, 4)
Hence, Slope is,
m = (4 - 6) / (0 + 4)
m = - 2/4
m = - 1/2
15) Two points are (6, 2) and (3, 2)
Hence, Slope is,
m = (2 - 2) / (3 - 6)
m = 0
16) Two points are (- 2, - 3) and (0, 3)
Hence, Slope is,
m = (3 + 3) / (0 + 2)
m = 6/2
m = 3
17) Two points are (3, 6) and (3, 4)
Hence, Slope is,
m = (4 - 6) / (3 - 3)
m = infinite
18) Two points are (- 4, 4) and (- 1, 3)
Hence, Slope is,
m = (3 - 4) / (- 1 + 4)
m = - 1/3
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A group of ten students recorded the number of minutes they spent on one math homework problem. The mean amount of time was 9 minutes, but the MAD was 7 minutes. Draw a dot plot to represent a data set that matches this description. Be sure to include a title and label your axis.
Answer:
Here is an example of a dot plot (in text, did as best as I could to represent it) that matches the description you provided:
Number of Minutes Spent on Math Homework Problem
|
10| o
9| o
8|
7| o
6|
5| o
4|
3| o
2|
1| o
0|___________________
1 2 3 4 5 6 7 8 9 10
Students
This dot plot shows the number of minutes spent on a math homework problem by ten students. The mean amount of time is represented by the dot at the y-value of 9, and the MAD (Mean Absolute Deviation) is represented by the spread of the data around the mean.
Triangle JKL has vertices at the points J(2.5,3), K(3.2,-4.7), and L(-6.9,3). Find the slope of side JL.
A. undefined
B. -11
C. -0.76
D. 0
Find all of square roots of 36i and write the answers in rectangular (standard) form
Picture included! Find the unknowns in the graph below:
The value of x in the triangle is 28.3 degrees., y is 7.837 and z is 7.837.
We can find the value of x by using angle sum property.
It states that the sum of three angles in a triangle is 180 degrees.
61.7+90+x=180
151.7+x=180
Subtract 151.7 from both sides:
x=180-151.7
x=28.3 degrees.
Now let us find the value of y.
We know that tan function is a ratio of opposite side and adjacent side.
tanx=y/14.76
tan(28.3) = y/ 14.76
0.531 = y/14.76
Now apply cross multiplication:
y=0.531×14.76
y=7.837
Now let us find z:
sin 90=y/z
1=7.837/z
z=7.837
Hence, the value of x in the triangle is 28.3 degrees., y is 7.837 and z is 7.837.
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a rectangular prism has a top face with an area of 20 ft and a height of 5ft.what is the volume of this rectangular prism
Answer:
100 cubic feet
Step-by-step explanation:
To find the volume of a rectangular prism, we need to multiply the area of the base by the height.
Given:
Area of the top face = 20 ft²
Height = 5 ft
The volume (V) can be calculated as follows:
V = Area of the top face * Height
V = 20 ft² * 5 ft
V = 100 ft³
Therefore, the volume of the rectangular prism is 100 cubic feet.
43% of a sample of 100 visitors to a national park believes that additional funds should be used to preserve endangered species. What is the 95% confidence interval to describe the total percentage of national park visitors who support supporting endangered species?
The 95% confidence interval for the total percentage of national park visitors who support supporting endangered species is approximately 33.3% to 52.7%.
To calculate the 95% confidence interval for the percentage of national park visitors who support supporting endangered species, we can use the formula:
Confidence Interval = Sample proportion ± (Critical value * Standard error)
Given that 43% of a sample of 100 visitors believe that additional funds should be used to preserve endangered species, the sample proportion is 0.43.
To calculate the standard error, we use the formula:
Standard Error = sqrt((p * (1 - p)) / n)
where p is the sample proportion and n is the sample size. In this case, p = 0.43 and n = 100.
Standard Error = sqrt((0.43 * (1 - 0.43)) / 100) ≈ 0.0495
The critical value for a 95% confidence interval can be obtained from a standard normal distribution table. For a 95% confidence level, the critical value is approximately 1.96.
Now we can calculate the confidence interval:
Confidence Interval = 0.43 ± (1.96 * 0.0495)
Confidence Interval = 0.43 ± 0.097
The lower bound of the confidence interval is 0.43 - 0.097 = 0.333
The upper bound of the confidence interval is 0.43 + 0.097 = 0.527
Therefore, the 95% confidence interval for the total percentage of national park visitors who support supporting endangered species is approximately 33.3% to 52.7%.
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calcula el cuádruple de la parte decimal sumando con el doble de la parte entera del siguiente número decimal : 123,45
The expression that we need to solve is 4*45 + 2*123 , and that is equal to 426.
How to find the number?
Here we want to calculate the quadruple of the decimal part by adding twice the integer part of the following decimal number: 123.45
The decimal part of this number is 45
The integer part of this number is 123.
Then the expression that we need to solve is:
4*45 + 2*123 = 426
That is the value of the mathematical sentence.
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The frequency table below shows the number of goals Real Madrid scored in each of their soccer games in April and May of 2022. Determine the total number of data values (games played) represented in the table.
Data (goals scored) Frequency
0 1
1 3
2 2
3 4
4 2
7 1
9 1
Provide your answer below:
FEEDBACK
There were 14 games played in total during April and May of 2022.
To determine the total number of data values (games played) represented in the frequency table,
Add all of the frequencies indicated in the table.
So, we have:
0 goals scored in 1 game
3 games with a single goal scored 2 goals scored in 2 games
4 games with three goals
2 games with four goals 1 game with 7 goals
And 1 game with 9 goals
Adding up all of these frequencies,
We get,
⇒ 1 + 3 + 2 + 4 + 2 + 1 + 1 = 14
Therefore,
There were 14 games played.
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System C. Solve this system of equations using the provided table.
Answer:
Step-by-step explanation:
all you have to do is replace the x in each equation with the x in the table for example for the first one y1 would be -8 and y2 would be 28/3
100 points! Expand this logarithm
The expanded logarithmic expression in the context of this problem is given as follows:
[tex]\log_7{(2 \times 11)^3} = 3\log_7{2} + 3\log_7{11}[/tex]
How to expand the logarithmic expression?The logarithmic expression in the context of this problem is given as follows:
[tex]\log_7{(2 \times 11)^3}[/tex]
First we apply the power rule of logarithms, which states that the logarithm of a number applied to a power is equals to the power multiplying the logarithm of the number, hence:
[tex]\log_7{(2 \times 11)^3} = 3 \log_7{(2 \times 11)}[/tex]
Then we apply the product rule, which means that we can add the logarithms of base 7 of these two numbers, as follows:
[tex]\log_7{(2 \times 11)^3} = 3\log_7{2} + 3\log_7{11}[/tex]
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If W is a subspace of a vector space V and B W is a basis for W,then there is a unique subspace U so that V = W⊕U and a basis B U for U so that BV =BW +BU is a basis for V.
Is this true or false?
Set B_V spans V and is linearly independent, satisfying the requirements for a basis.
The statement is true.
How to determine if the statement is trueIf W is a subspace of a vector space V and B_W is a basis for W, then it is true that there exists a unique subspace U such that V = W ⊕ U, where ⊕ represents the direct sum of subspaces.
This means that every vector in V can be uniquely expressed as the sum of a vector in W and a vector in U.
Additionally, there exists a basis B_U for U such that the union of B_W and B_U, denoted as B_V = B_W ∪ B_U, forms a basis for the entire vector space V.
This means that the set B_V spans V and is linearly independent, satisfying the requirements for a basis.
Hence, the statement is true.
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s = the amount of snowfall
t = the length of time it takes to plow all of the streets
which is the dependent variable?
The next model of a sports car will cost 14.7% more than the current model. The current model costs $34,000. How much will the price increase in dollars?
What will be the price of the next model?
Increase in price:
Price of next model:
Answer: $4,998
Step-by-step explanation:
34000*1.147
38998-34000=4998
A bag contains 19 blue, 28 purple, 21 red, and 29 orange balls. You pick one ball at random. Find the probability that it is not orange. P(not orange) = Simplify your answer completely.
[tex]|\Omega|=19+28+21+29=97\\|A|=19+28+21=68\\\\P(A)=\dfrac{68}{97}[/tex]
Carl's class is collecting canned food for a
food drive. If the class collects 33 pounds
on the first day and 41 pounds on the
second day, how many pounds of food
have they collected so far?
Give your answer as a mixed number in simplest form.
Enter the number that belongs in the green box.
[2] pounds
The class has collected a total of 74 pounds of food so far.
The class collected 33 pounds on the first day and 41 pounds on the second day.
To find the total pounds of food collected, we add these two amounts together:
33 pounds + 41 pounds = 74 pounds
On the first day, the students gathered 33 pounds, and on the second day, they collected 41 pounds.
We combine these two figures together to get the total number of pounds of food collected:
33 lbs. plus 41 lbs. equals 74 lbs.
On the first day, the class brought in 33 pounds, and on the second, 41 pounds.
We combine these two figures to get the total weight in pounds of food collected:
44 pounds plus 33 pounds equals 74 pounds.
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heres the equation...
2/3 * P = 5
P=?
Answer:
p=7.5 or 7 1/2
Step-by-step explanation:
To solve this equation you need to isolate the P
1) We can multiply P and the numerator (In this case 2) since it is the same thing. The rewritten equation is 2p/3=5.
2) Now we can multiply both sides by 3 to isolate 2p. The equation is now 2p=15
3) The next step is to divide both sides by 2 so we can isolate the p. We now have p=7.5 or 7 1/2
Hope this helps :)
If KL = x + 8
, LM = 12
, and KM = 3x − 14
, what is KL?
Answer:
x = 17
Step-by-step explanation:
KL + LM = KM
x+8+12 = 3x-14
or, x+20 = 3x-14
or, 3x-x=20+14
or, 2x = 34
x = 17
Answer:
Step-by-step explanation:
3x-14=x+8+12
3x-x=8+12+14
2x=34
x=17
then
KL=(17)+8=25
Which of the following describes the probability distribution below?
(X)xd
oo
02
07
0.6
05
04
0.3
02
01
0
Probability Distribution
O The mean is greater than the median, and the majority of the data points are to the left of the mean.
The mean is greater than the median, and the majority of the data points are to the right of the mean.
The median is greater than the mean, and the majority of the data points are to the left of the mean.
O The median is greater than the mean, and the majority of the data points are to the right of the mean.
Save and Exit
Next
Mark this and return
Submit
Correct answer is,
The mean is greater than the median, and the majority of the data points are to the left of the mean.
Since, The probability depicts the intended benefits of all possible values for just a specific data-generation procedure. This is a list of all of the possible values of random variables, along with the probability for each one of them.
We could see that the curve is tilted to the right by drawing a normal distribution bell curve.
This has a right tail, which implies it has a tail. This indicates that there are few points to the right of the mean.
A majority of the pieces of data are about the left of the mean, as stated.
The bulk of data are to the right, the median will be from the left of the mean, indicating that the median is less than the mean.
Hence, As just a result, the mean exceeds the median.
Therefore, the answer is "third choice".
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NEED HELP ASP PLEASE
The side and angles of the right triangle are as follows:
1. 5 units
2. 5 units
3. tan ∅ = 4 / 5
How to find the side angles of a right triangle?The side of a right triangle can be found using Pythagoras's theorem and the angles of a right angle triangle can be found using trigonometric ratios as follows:
c² = a² + b²
where
a and b are the other legsc = hypotenuseTherefore,
1.
c² = 4² + 3²
c = √16 + 9
c = √25
c = 5 units
2.
a² = 13² - 12²
a = √169 - 144
a = √25
a = 5 units
3.
tan ∅ = opposite / adjacent
tan ∅ = 4 / 5
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Inequalities - Introduction
Answer:
Step-by-step explanation:
This number line says that we can take all values of x that are less than or equal to 2. That is, the solution is
[tex]x\leq 2[/tex]
NOTE: if the circle at 2 were not filled in then that would mean x<2 (2 would not be an accepted value of x)
enter the number that belongs in the green box
The angle opposite to side BC in triangle ABC is approximately 38.213 degrees.
We have,
To find the angle opposite to side BC in triangle ABC, we can use the Law of Cosines.
The Law of Cosines states that in a triangle with sides of lengths a, b, and c, and the angle opposite to side c being denoted as C, the following equation holds:
c² = a² + b² - 2ab x cos(C)
In this case,
Side a is BC with length 12, side b is AC with length 20, and side c is AB with length 11. We want to find the angle C, which is opposite to side BC.
Plugging the given values into the Law of Cosines equation:
11² = 12² + 20² - 2 x 12 x 20 x cos C
121 = 144 + 400 - 480 x cos C
121 = 544 - 480 x cos C
480 x cos C = 544 - 121
480 x cos C = 423
cos C = 423/480
Now, we can find the angle C by taking the inverse cosine (arccos) of (423/480):
C = arccos(423/480)
Using a calculator, we find that C is approximately 38.213 degrees.
Therefore,
The angle opposite to side BC in triangle ABC is approximately 38.213 degrees.
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cynthia opened her cylindrical container of oatmeal that has a height of 9 inches
The expression that can be used to find the amount of oatmeal in the container, obtained from the formula for the volume of a cylinder is π · 2² · 8. The correct option is therefore, the option C.
C. π · 2² · 8
What is the formula for the volume of a cylinder?The volume of a cylinder is; V = π × Radius² × Height
The part of the question that appear missing, obtained from a similar question on the internet, includes;
The radius of the can = 2 inches
The height to which the can was filled = 8 inches
The volume of oatmeal in the can is therefore;
V = π·r²·h
Where;
r = The radius of the can = 2 inches
h = The height to which the oatmeal is filled = 9 - 1 = 8 inches
Therefore;
V = π × 2² × 8
The expression that can be used to find the amount of oatmeal in the can is therefore;
C. π · 2² · 8
The possible question options, obtained from the online question are;
A. (4·π·9) - 1
B. 2·π·8
C. π·2²·8
D. (4·π·9)/3
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(1x10^6) - (9x10^2) =
The equation 5/3log4(x)=9 can be written in the form x=2^y for some number y. What is y?
The value of y is 10.8.
Here, we have,
given that,
The equation is: 5/3log_4(x)=9
or, 5 log₄x = 27
or, log₄x = 27/5
now, we have,
Using the property, x = loga, a = eˣ
we get,
x = 4²⁷/⁵
or, x = 4⁵°⁴
or, x = 2¹⁰°⁸
so, comparing with x=2^y , we get,
y = 10.8
Hence, The value of y is 10.8.
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PLEASE HELP I REALLY NEED TO ANSWER THIS
Answer:
b=76* (because different angles)
Answer:
76
Step-by-step explanation
*shows a flat angle (180 degrees)
180 - 104 = 76
Answer the following question, and show your work. *
2
4
3
6
6
3
8
9
7
9
8
???
Answer:
6
(If you like this answer i would appreciate if u give brainliest but otherwise, i hope this helped ^^)
Step-by-step explanation:
To find the missing number in the given sequence, let's analyze the pattern:
2, 4, 3, 6, 6, 3, 8, 9, 7, 9, 8, ???
Looking at the sequence, we can identify a few patterns:
The sequence alternates between increasing and decreasing numbers.
The first two numbers, 2 and 4, are increasing.
The next two numbers, 4 and 3, are decreasing.
The following two numbers, 3 and 6, are increasing.
The subsequent two numbers, 6 and 3, are decreasing.
The next two numbers, 3 and 8, are increasing.
The subsequent two numbers, 8 and 9, are increasing.
Based on these observations, it appears that the sequence is following a pattern where it alternates between increasing and decreasing numbers, but the specific values being added or subtracted are not consistent.
Now let's determine the missing number:
From the pattern, the next two numbers should be decreasing. Following the pattern of alternating between increasing and decreasing numbers, the missing number after the last given number (8) should be less than 9.
Let's assume the missing number is x:
8 - x
Since the previous decreasing sequence was 6 - 3, we can assume that x is 1 less than the previous number (3):
8 - (3 - 1) = 8 - 2 = 6
Therefore, the missing number in the sequence is 6.
The complete sequence is:
2, 4, 3, 6, 6, 3, 8, 9, 7, 9, 8, 6
Explain the difference:
4 times the sum of x and y and the sum of 4 x and y
Hello!
4 times the sum of x and y
4 * (x + y)
it's a mutliplication
the sum of 4x and y
= 4x + y
it's a sum
Answer:one is multiplying other is some.
Step-by-step explanation:
4xy and =4xy
these two are