which variable is the dependent variable gas or miles
Answers
Answer:
Gallons of gas
Step-by-step explanation:
Related Questions
Please help me thank ykj
Answers
F(-2)=-(-2)-8=2-8= -6
F(2)= -2-8=-10
F(0)=0-8=-8
F(-3)= -(-3)-8=3-8=5
I NEED HELP PLEASE ANYONE
Answers
Answer:
t = -8
Step-by-step explanation:
divide both sides by 4 to isolate t:
-32/4 = 4t/4
-> -8 = t
write 36minutes,1hour 40 minutes in simplest form
Answers
Answer:
3/5 of an hour, 60 minutes, 2/3 of an hour
Step-by-step explanation:
A chi-square test for homogeneity is conducted on three populations and one categorical variable that has three values. Computation of the chi-square statistic yields χ2 = 2.05. What is the p-value? (please provide a written explanation)
p > 0.25
0.05 < p < 0.1
0.02 < p < 0.025
0.01 < p < 0.02
0.005 < p < 0.01
Answers
the p-value is between 0.05 and 0.1, which means we can conclude that there is weak evidence against the null hypothesis at the 5% level of significance.the answer is 0.05 < p < 0.1.
To find the p-value for a chi-square test for homogeneity, we need to use the chi-square distribution table with the appropriate degrees of freedom and compare the computed chi-square statistic to the critical value at the desired level of significance.
The degrees of freedom for a chi-square test for homogeneity is given by the formula df = (r - 1) * (c - 1), where r is the number of rows and c is the number of columns in the contingency table. In this case, we have three populations and one categorical variable with three values, so the contingency table has 3 rows and 3 columns. Therefore, the degrees of freedom is df = (3 - 1) * (3 - 1) = 4.
Using the chi-square distribution table with 4 degrees of freedom and looking up the value of chi-square at 2.05, we can see that the corresponding p-value is between 0.1 and 0.05. Specifically, the p-value is between 0.05 and 0.1, which means we can conclude that there is weak evidence against the null hypothesis at the 5% level of significance.
Therefore, the answer is 0.05 < p < 0.1.
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Calculate the expected value E(X) of the given random variable X.
Forty-five darts are thrown at a dartboard. The probability of hitting a bull's-eye is .2. Let X be the number of bull's-eyes hit.
E(X) = _________
Answers
Answer:
E(X) = 9.
Step-by-step explanation:
That is 45 * (0.2) = 9.
The required expected value is given as 9 as per the given conditions.
Given that,
To Calculate the expected value E(X) of the given random variable X. Forty-five darts are thrown at a dartboard. The probability of hitting a bull's eye is .2. Let X be the number of bull's-eyes hit.
What is probability?Probability can be defined as the ratio of favorable outcomes to the total number of events.
Here,
The expected value is the scenario predicting algorithm in maths that gives the prediction a value.
So,
According to the question,
E(x) = 0.2 × 45 = 9
Thus, the required expected value is given as 9 as per the given conditions.
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At football practice, James had to sprint 40 yards along the field. He did this sprint 22 times.
What distance did he run, in miles?
Answers
Answer:
0.5 miles.
Step-by-step explanation:
Remark
I'm going to assume that the total number of sprints was 22. If he sprinted back then there and back counts as 2 sprints.
Formula
Total distance = 22 * 40
Solution
Total distance = 880 yards.
There are 1760 yards in a mile.
The number of miles he ran was 880/1760 = 1/2 mile or 0.5 miles.
Royce kept track of the inches of snowfall in his town over a 15-day period. Royce’s data is given below. 1, 0, 0, 3, 5, 0, 0, 0, 2, 2, 1, 7, 2, 2, 3 Which box plot shows this data set?
Answers
Answer:
The correct option - Figure A
Step-by-step explanation:
The exact question is as follows :
Given - Royce kept track of the inches of snowfall in his town over a 15-day period. Royce's data is given below.
1, 0, 0, 3, 5, 0, 0, 0, 2, 2, 1, 7, 2, 2, 3
To find - Which box plot shows this data set?
Solution -
Given the data is -
1, 0, 0, 3, 5, 0, 0, 0, 2, 2, 1, 7, 2, 2, 3
Firstly,
Arrange the data from smallest to largest
0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 3, 3, 5, 7
Now,
Find the median
Median is the middle value - i.e. (15 + 1)/2 = 8th value
So, we get Median = 2
Now,
Find the Quartile -
The first quartile is the median of the data points to the left of the median.
i.e. Median of 0, 0, 0, 0, 0, 1, 1
so, we get
Q1 = 0
The third quartile is the median of the data points to the right of the median.
i.e. Median of 2, 2, 2, 3, 3, 5, 7
so, we get
Q3 = 3
Now,
Compute the min and the max
Minimum value = 0
Maximum value - 7
So,
five number summary is -
0, 0, 2, 3, 7
And we draw the box as follows -
So,
The correct option - Figure A
o the nearest tenth, if necessary. 2. Сь A 3. A 15 25 60 48 B В O B В
Answers
Solving question 2.
We need to find the length of side b by using the Pythagorean Theorem.
The Pythagorean theorem is as follows:
\(a^2+b^2=c^2\)Where a and b are the legs of the right triangle and c is the hypotenuse.
We have in the image that the hypotenuse (the side in front of the right angle) for this triangle is 25.
\(c=25\)And we know of the legs of the triangle which we will call a:
\(a=15\)Substituting these values into the Pythagorean Theorem:
\(15^2+b^2=25^2\)We solve the operations by squaring the number:
\(225+b^2=625\)now, to solve for b, we need to leave it alone at one side of the equation. For that, we subtract 225 to both sides of the equation:
\(\begin{gathered} b^2=625-225 \\ b^2=400 \end{gathered}\)Finally, to find b, we take the square root of both sides of the equation:
\(\begin{gathered} \sqrt[]{b^2}=\sqrt[]{400} \\ b=\sqrt[]{400} \\ b=20 \end{gathered}\)Answer: b=20
If triangle ABC is reflected across the line y = x, are the pre-image and image congruent? Why, or why not?
OYes, distance and angle measure are preserved
OYes, angle measure is preserved and distance is not
O No, distance is preserved but angle measure is not
O No, neither distance nor angle measure are preserved
Answers
The correct answer is: O Yes, distance and angle measure are preserved.
When a triangle ABC is reflected across the line y = x, the pre-image and image are congruent.
This is because the line y = x is the perpendicular bisector of the segment joining each corresponding point of the pre-image and image.
Reflection across the line y = x is a type of transformation known as an isometry, which preserves both distance and angle measure.
Here's why:
Distance preservation:
When a point is reflected across the line y = x, the distance between the original point and its reflection remains the same.
This holds true for all corresponding points of the triangle.
Therefore, the distance between any two corresponding points in the pre-image and image triangle will be equal, resulting in distance preservation.
Angle preservation: When a line segment is reflected across the line y = x, the angle between the line segment and the line y = x is preserved. This means that the corresponding angles in the pre-image and image triangle will be congruent.
Since both distance and angle measure are preserved during reflection across the line y = x, the pre-image and image triangles are congruent.
It's important to note that congruence under reflection across a line holds only when the line of reflection is the same for both the pre-image and image.
If the line of reflection were different, the triangles would not be congruent.
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The graph shows a proportional relationship. Which equation matches the graph?
A. y = 1/5x
B. y = x
C. y = 15x
D. y = 5x
Answers
He purchases a total of 150 containers of popcorn to sell. After he sells 15 containers, he will make a total profit, after his upfront costs, of $5.50. Cassidy’s profit, after upfront costs, can be modeled by a linear function in the form y=mx+b.
What is Cassidy’s profit if he sells all of the popcorn?
HInt:Substitute 150 for x to find the profit if all the popcorn is sold.
Answers
If Cassidy sells all of the popcorn, his profit would be equal to $208.00.
What is the slope-intercept form?Mathematically, the slope-intercept form of a line can be modeled by using this linear function:
y = mx + b
Where:
m represents the slope.x and y are the points.b represents the y-intercept.How to determine Cassidy’s profit?In order to determine Cassidy’s profit, we would have to calculate the cost of the containers of popcorn by using this mathematical expression:
Note: the price tag for a container of popcorn is one dollar and fifty cents.
Cost of containers = revenue - total profit
Cost of containers = 1.50(15) - 5.50
Cost of containers = 22.5 - 5.50
Cost of containers = $17.00
Therefore, the linear function which models Cassidy’s profit is given by:
y = 1.50x - 17
If Cassidy sells all of the popcorn, his profit is given by:
Cassidy’s profit, y = 1.50x - 17
Cassidy’s profit, y = 1.50(150) - 17
Cassidy’s profit, y = 225 - 17
Cassidy’s profit, y = $208.00
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Complete Question:
Cassidy is selling popcorn for a fundraiser sale at the price shown.
A photo of a container of popcorn is shown. The price tag reads one dollar and fifty cents.
He purchases a total of 150 containers of popcorn to sell. After he sells 15 containers, he will make a total profit, after his upfront costs, of $5.50. Cassidy’s profit, after upfront costs, can be modeled by a linear function in the form y=mx+b.
What is Cassidy’s profit if he sells all of the popcorn?
HInt: Substitute 150 for x to find the profit if all the popcorn is sold.
y varies directly as z, y=180, z=10 , find ywhen z=14
Answers
Step-by-step explanation:
To find the value of y when z = 14 we must first find the relationship between them
The statement
y varies directly as z is written as
y = kz
where k is the constant of proportionality
when y = 180
z = 10
180 = 10k
Divide both sides by 10
k = 18
The formula for the variation is
y = 18z
When z = 14
y = 18(14)
y = 252Hope this helps you
If 16 is added to a number and the sum is doubled, the result is 15 less than the number. Find the number.
Answers
Answer:
x = -47
Step-by-step explanation:
(x+16)2 = x-15
2x+32 = x-15
x = -15-32 = -47
I don’t under this .
Answers
Answer:
The answer is QR,RS, and ST
Step-by-step explanation:
i hope this helps .
Explanation:
A sector of a circle has a diameter of 12 feet and an angle of 3pi/4 radians. Find the area of the sector.
Answers
Answer:
42.39 ft²
Step-by-step explanation:
area of sector= 3/8 × 3.14 × 6²
= 42.39 ft²
The area of the sector is 42.39 ft²
Given that, a sector of a circle has a diameter of 12 feet and an angle of 3pi/4 radians, we need to find the area of the sector,
Area of the sector = θ/360° / π·radius²
area of sector= 3/8 × 3.14 × 6²
= 42.39 ft²
Hence, the area of the sector is 42.39 ft²
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2x+3y
= 5
x + 2y = 4
Answers
let C be the curve y=5sqrtx for 1.1
Answers
We can integrate this S = 2π ∫(1.1 to 4.4) (5√(4x + 25))/(2√x) dx over the given interval (1.1 to 4.4) to find the surface area.
We can evaluate the integral using numerical methods or a calculator to find the final answer.
We have,
To find the surface area of the revolution about the x-axis of the function f(x) = 5√x over the interval (1.1 to 4.4), we can use the formula for the surface area of revolution:
S = ∫(a to b) 2πy√(1 + (f'(x))²) dx
In this case,
f(x) = 5√x, so f'(x) = (d/dx)(5√x) = 5/(2√x).
Let's calculate the surface area:
S = ∫(1.1 to 4.4) 2π(5√x)√(1 + (5/(2√x)²) dx
Simplifying the expression inside the integral:
S = ∫(1.1 to 4.4) x 2π(5√x)√(1 + 25/(4x)) dx
Next, we can integrate this expression over the given interval (1.1 to 4.4) to find the surface area.
To find the surface area of revolution about the x-axis of the function
f(x) = 5√x over the interval (1.1 to 4.4), we need to evaluate the integral:
S = ∫(1.1 to 4.4) 2π(5√x)√(1 + 25/(4x)) dx
Let's calculate the integral:
S = 2π ∫(1.1 to 4.4) (5√x)√(1 + 25/(4x)) dx
To simplify the calculation, let's simplify the expression inside the integral first:
S = 2π ∫(1.1 to 4.4) (5√x)√((4x + 25)/(4x)) dx
Next, we can distribute the square root and simplify further:
S = 2π ∫(1.1 to 4.4) (5√(4x + 25))/(2√x) dx
Thus,
We can integrate this expression over the given interval (1.1 to 4.4) to find the surface area.
We can evaluate the integral using numerical methods or a calculator to find the final answer.
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2021: Sales Revenues = $800,000. Cost of good sold = $350,000
2020: Sales Revenues = $795,000. Cost of good sold = $600,000
Answers
Answer:
Step-by-step explanation:
Sales Revenue: $800.00
Cost of good sold: $350,000.00
Subtract: $450,000.00
Sales Revenue: $795,000.00
Cost of good sold: $600,000.00
Subtract Sales $195,000.00
Revenue from Cost
of goods sold.
The spinner below shows 5 equally sized slices. Mal spun the dial 1000 times and got the following results.
Outcome White Grey Black
Number of Spins 389 406 205
Fill in the table below. Round your answers to the nearest thousandth.
Answers
The experimental probability that the next spin falls in a black region is given as follows:
0.205 = 20.5%.
How to calculate a probability?A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.
205 out of the previous 1000 trials fell in the black region, hence the experimental probability is given as follows:
p = 205/1000
p = 0.205.
p = 20.5%.
Missing InformationThe problem asks for the experimental probability that the next spin falls in a black region.
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Carl is making accessories for the soccer team. He uses 773.85 inches of fabric on headbands for 29 players and 4 coaches. He also uses 279.56 inches of fabric on wristbands for just the players. How much fabric was used on a headband and wristband for each player?
Answers
23.45 inches fabric was used on a headband and 9.64 inches fabric was used on a wristband for each player.
No. of players = 29
No. of coaches = 4
Total fabric used for headbands = 773.85 inches
Total no. of people for headbands = 29 + 4
= 33
Fabric used for headband for 1 person = 773.85/33
= 23.45 inches
Total fabric used for wristbands = 279.56 inches
Total no. of people for wristbands = 29
Fabric used for headband for 1 person = 279.56/29
= 9.64 inches
Hence, fabric for headband is 23.45 inches and for wristband is 9.64 inches.
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What is the constant in 12r + r/2-19
Answers
Answer:
constant is - 19
Step-by-step explanation:
the constant is the term in an expression with no variable attached to it.
12r + \(\frac{r}{2}\) - 19
the only term without the variable r attached to it is - 19
then the constant term is - 19
Simplify
√
175
fully, giving your answer in the form
a
√
b
Answers
Answer:
5
\( 5\sqrt{7} \)
A leak in a pool causes the height of the water to decrease by 0.25 foot over 2 hours After the leak is fixed, the height of the water is 4.75 feet The equation 4.75 = x +(-0.25) can be used to find x, the original height of the water in a pool. What was the original height of the water in the pool in feet?
Answers
Answer:
Step-by-step explanation:
5 feet
Since the height of the water is 4.75 feet, the equation is
4.75 = x + (-0.25)
To solve, add 0.25 to each side:
4.75+0.25 = x+(-0.25)+0.25
5.00 = x
Answer: B, 5.0
Step-by-step explanation:
Find the equation of the line that satisfies f( - 1) = 4 and f(5) = 1. Use x for input and y for output,
and write your answer in slope intercept form.
Answers
Answer: y=-1/2x+7/2
Step-by-step explanation:
For this problem, we are given f(-1)=4 and f(5)=1. This means the points are (-1,4) and (5,1). We can use the slope formula to find the slope. The formula is \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\).
\(\frac{1-4}{5-(-1)} =\frac{-3}{6}=-\frac{1}{2}\)
Now that we know the slope, we can fill in what we know to solve for the y-intercept.
y=-1/2x+b
With any of the given points, we can plug in and solve for b.
4=-1/2(-1)+b [multiply]
4=1/2+b [subtract both sides by 1/2]
\(b=\frac{7}{2}\)
Now that we have the y-intercept, we can complete the equation.
y=-1/2x+7/2
The length of a rectangle is 4 inches longer than it is wide. If the area is 32 square inches, what are the dimensions of the rectangle?
Answers
Answer:
width = 4in
length = 8in
Step-by-step explanation:
A = LxW = 32
L = W + 4
W(W+4) = 32
W² + 4W - 32 = 0
(W + 8)(W - 4) = 0
W ≠ -8 (dimensions cannot be negative)
W = 4in
L = W+4 = 4+4 = 8in
The larger of two numbers is seven less than three times the smaller number. If the sum of the numbers is 61, find the smaller number.
Answers
9514 1404 393
Answer:
17
Step-by-step explanation:
Let s represent the smaller number. Then the larger is 3s-7 and their sum is ...
s +(3s -7) = 61
4s = 68 . . . . . . . add 7
s = 17 . . . . . . . . . divide by 4
The smaller number is 17.
__
The larger number is 44.
Write an equation for the description.
A number x increased by 17 is 112.
Answers
Answer:
x+17 = 112
Step-by-step explanation:
Vocabulary:
Increased = Addition
Is = Equal Sign
x+17 = 112
A data set consists of these points: (2, 4), (4,7), (5, 12). Malinda found the
regression equation to be y = -2.5x - 1.5. Is she correct?
O
A. No. Both a and b are incorrect.
O
B. No. The value for bis incorrect.
O
C. No. The value for a is incorrect.
O
D. Yes. This is the correct equation.
Answers
Given:
We are given the points:
\((2,\text{ 4), (4, 7), (5, 12)}\)Using a graphical calculator:
The regression equation is:
\(y\text{ = }2.5x\text{ -1.5}\)Answer: Yes this is the correct equation (Option D)
I NEED HELP ASAP! Alex wants to buy carpet to cover his whole living room, except for the tiled floor. The tiled floor is 5 3/4 FT by 3 1/2 FT. WHATS THE AREA OF THE CARPET IT NEEDS TO COVER?
Answers
Answer:
53.375 or 427/8 or 53 3/8
Step-by-step explanation:
To solve this you must find the area of both the carpet and the tiled floor. You use the equation area = length x width
Carpet: 10.5 x 7 = 73.5
Tile: 5.75 x 3.5 = 20.125
The you subtract the area of the tiled floor from the carpet
73.5 - 20.125 = 53.375
(I prefer to work in decimals but most of the time they want fraction answers so 53.375 = 427/8 = 53 3/8
Which measurement statement is correct?
A. There are 2 cups in a pint.
B. There are 2 pints in a cup.
C. There are 4 quarts in a pint.
D. There are 4 pints in a quart.
Answers
Answer:
It would be A.
Step-by-step explanation:
Hope it helped brainiest plz
Which measurement statement is correct?
A. There are 2 cups in a pint. correct!
B. There are 2 pints in a cup. wrong!
C. There are 4 quarts in a pint. wrong!
D. There are 4 pints in a quart. wrong
Answer:
answer is A
Step-by-step explanation:
brainiest plzzzzzz