Four friends did a job together that paid $85.20. How much should each get if they all get an equal amount? *

Answer:

B

Step-by-step explanation:

The figure shown is of an isosceles triangle.The triangle is not congruent with any of the faces of the pyramid thus the triangle does not have the same dimension as one of the sides of the pyramid

Answer: B

Step-by-step explanation:

The correct statistical decision for this sample is A) The researcher can reject the null hypothesis with alpha = .05 but not with alpha = .1.

To determine the statistical decision for this sample, we need to conduct a hypothesis test. The null hypothesis (H0) states that the mean of the population is equal to a specified value, while the alternative hypothesis (Ha) states that the mean of the population is different from the specified value.

In this case, since it is a two-tailed test, the alternative hypothesis is Ha: μ ≠ specified value. The significance level is alpha = 0.05, which means that we are willing to accept a 5% chance of making a type I error (rejecting the null hypothesis when it is actually true).

We can use the t-test formula to calculate the t-statistic:

t = (M - specified value) / (s / √n)

where M is the sample mean, s is the sample standard deviation, n is the sample size, and specified value is the value of the population mean specified in the null hypothesis.

Plugging in the values, we get:

t = (39.5 - specified value) / (4.3 / √n) = 2.14

To find the critical t-value for a two-tailed test with alpha = 0.05 and degrees of freedom (df) = n - 1, we can look it up in a t-distribution table or use a statistical software. For df = n - 1 = sample size - 1 = unknown, we can use a conservative estimate of df = 10.

The critical t-value for alpha = 0.05 and df = 10 is ±2.228. Since the calculated t-value of 2.14 falls within the acceptance region (-2.228 < t < 2.228), we cannot reject the null hypothesis at alpha = 0.05.

However, if we increase the significance level to alpha = 0.1, the critical t-value becomes ±1.812. Since the calculated t-value of 2.14 falls outside the acceptance region (-1.812 < t < 1.812), we can reject the null hypothesis at alpha = 0.1.

Therefore, the correct statistical decision for this sample is A) The researcher can reject the null hypothesis with alpha = 0.05 but not with alpha = 0.1.

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This question is incomplete

Complete Question

Point W is on line segment V X. Given W X = 8 and VX = 13, determine the length VW

Answer:

5

Step-by-step explanation:

We are given the length of a line segment VX = 13

We have a point W in the line

The line is divided into two

VX = VW + WX

VX = 13

WX = 8

Hence,

13 = VW + 8

VW = 13 - 8

VW = 5

Therefore, the length VW = 5

Answer:(0, -3)

Step-by-step explanation:

Answer:

four

Step-by-step explanation:

2(4)=8

The researchers who developed predator prey models that accounted for resource limitations experienced by the prey. The correct answer is d. Rotondweig and MacArthur.

Rotondweig and MacArthur are the researchers who developed predator-prey models that considered the resource limitations experienced by the prey. Their models built upon the earlier work of Gause, Verhulst, and other researchers in population ecology. Rotondweig and MacArthur's models improved upon earlier models by incorporating the concept of limited resources and their effect on prey population dynamics.
The predator-prey models created by Rotondweig and MacArthur consider how the availability of resources influences the interactions between predators and their prey. In these models, the prey's population growth is regulated not only by the predation rate but also by the carrying capacity of their environment, which is determined by the availability of resources. As a result, their models provide a more realistic representation of natural ecosystems.
To summarize, the researchers responsible for developing predator-prey models that accounted for resource limitations experienced by the prey are Rotondweig and MacArthur. Their models improved upon earlier work by incorporating the concept of limited resources and their effect on prey population dynamics.

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Answer:

88.

Step-by-step explanation:

428-360 = 88

Answer:

x = 8

y = -3

Step-by-step explanation:

Multiply the first equation with (-2)

(-2) * (x - 4y) = 20

-2x + 8y = -40 now find the sum of it with second equation

2x + 5y - 2x + 8y = 1 - 40 add like terms (2x will eliminate -2x)

13y = -39 divide both sides by 13

y = -3

Now we can use this to find the value of x

x - 4y = 20 rewrite the equation using the value we found for y

x - 4(-3) = 20 multiply (-4) and (*3) (product will be positive because we are multiplying two negatives)

x + 12 = 20 subtract 12 from both sides

x = 8

Answer:

Step-by-step explanation:

y=mx+b where m=slope and b=y intercept

m=(y2-y1)/(x2-x1)=(22-4)/(0+8)=2.25

y=2.25x+b, using point (0,22) we can solve for b

22=2.25(0)+b

b=22

y=2.25x+22 or stating it fractionally

y=9x/4+22

Answer:

its d

Step-by-step explanation:

Answer:

67 Degrees

Step-by-step explanation:

180 = x+79+34

180-79-34=x

67=x

Yes it is true that commercial truck owners violate laws requiring front license plates at a higher rate than owners of passenger cars because null hypothesis is rejected.

Given among 2049 Connecticut passenger cars, 239 had only rear license plates. Among 334 Connecticut trucks, 45 had only rear license plates.

let \(p_{1}\) be the probability that commercial cars have rear license plates and \(p_{2}\) be the probability that connected trucks have rear license plates.

                         Cars                     Trucks                         Total

Total                  2049                    334                             2383

x                          239                      45                                284

p                        0.1166                   0.1347                          0.1191

α=0.05

Hypothesis will be  :

\(H_{0}:p_{1} =p_{2}\)

\(H_{1} :p_{1} < p_{2}\)

It is a left tailed test at 0.05 significance.

Standard errors of p=\(\sqrt{p(1-p)/n}\)

=\(\sqrt{(0.1191*0.8809)/2383}\)

=\(\sqrt{0.1049/2383}\)        

=0.0066

Test statistic Z=p difference/standard error

=(0.1166-0.1347)/0.0066

=-0.0181/0.0061

=-2.967

p value=0.001505<5%

Since p is less than 5% we reject null hypothesis.

We cannot calculate standard deviation so  we cannot calculate confidence interval.

Hence there is statistical evidence at 5% significance level to support that commercial truck owners violate laws requiring front license plates at a higher rate than owners of passenger cars.

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Answer:

B -- Recipe 2 (Gluten-Free)

Step-by-step explanation:

Recipe 1

5 / 16 = 0.3125

Recipe 2

3 / 8 = 0.375

Recipe 2 (Gluten-Free) has a higher ratio so it must have a stronger taste.

Answer:

Your answer would be:
B.) The gluten-free batch has the stronger butterscotch

Regular batch:
5 / 21

5 / 21 = 25 / 110




Gluten-free batch:
3 / 11

3 / 11 = 30 / 110


Solution:
30 / 110 > 25 / 110

In conclusion, the gluten-free batch has the stronger butterscotch.

Step-by-step explanation:

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Answer: b would be the answer

Step-by-step explanation:

Answer:

slope is zero equation is y=-3

Step-by-step explanation:

since there is no change in y and they cancel out so you just 0.

The graph of the circle (x - 5)² + y² = 25 is added as an attachment

From the question, we have the following parameters that can be used in our computation:

(x - 5)² + y² = 25

Express 25 as 5²

(x - 5)² + y² = 5²

The above function is a circle equation that has the following features

Next, we plot the graph using a graphing tool by taking note of the above features

The graph of the circle is added as an attachment

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The quartic function with zeros -6, 1, 2, and 6 is f(x) = x⁴ - 3x³ - 40x² + 99x + 72.

We must use the function's zeros and the leading coefficient to formulate the equation of a quartic polynomial. We may factor the polynomial as follows since the leading coefficient is 1:

f(x) = (x + 6)(x - 1)(x - 2)(x - 6)

Expanding this expression using FOIL and simplifying, we get:

f(x) = (x⁴ - 3x³ - 40x² + 99x + 72)

This is the equation of the quartic polynomial in standard form, where the coefficients of each term represent the corresponding power of x. Therefore, the quartic function with zeros -6, 1, 2, and 6 is f(x) = x⁴ - 3x³ - 40x² + 99x + 72.

It is crucial to keep in mind that the leading coefficient is supposed to be 1, which makes determining the polynomial easier. We would have to modify the coefficients of each term if the leading coefficient had a different value.

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Answer:

$9,011.20

Step-by-step explanation:

I may have messed up with the calculation but I believe the answer is $9,011.20.

Answer:

15,840

Step-by-step explanation:

3 x 24 months = 72

72% of 22,000 = 15,840

:)

Answer:

x= 7

Step-by-step explanation:

I got 7 by subtracting 67-7 and i got 60 so x equals 7

Answer:

See below

Step-by-step explanation:

If i recall right when two slopes are perpendicular one slope is supposed to be the negative reciprical of the other slope, because of this I think your answer should be B. -\frac{2}{3}  

Hope this helps

The lines are perpendicular and the slope of the red line is m₂ = -2/3

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m₁ = 3/2

So , the slope of the green line is m₁ = 3/2

Since the lines are perpendicular to each other , the product of their slopes will be equal to -1

And , m₁ x m₂ = -1

So , ( 3/2 ) x m₂ = -1

Multiply by ( 2/3 ) on both sides , we get

m₂ = ( -2/3 )

Therefore , the slope of the red line is ( -2/3 )

Hence , the slope of the red line m₂ = ( -2/3 )

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The complete question is attached below :

The lines below are perpendicular. If the slope of the green line is 3/2 what is the slope of the red line?

Variables that indicate the distance a target is from the level achieved are called performance metrics or progress indicators.


Variables that indicate the distance a target is from the level achieved are called performance metrics or progress indicators. These variables help measure and track progress towards a goal by providing a quantitative or qualitative measure of how far the target is from the desired level of achievement.

Performance metrics can be represented in various forms, such as distance covered, percentage completed, points earned, or even subjective evaluations. For example, in a fitness program, a performance metric could be the number of miles run or the number of push-ups completed.

These metrics enable individuals or organizations to assess their progress and make necessary adjustments to reach their desired outcomes.

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Check the picture below.

first off let's check what "h" is in the triangular face.

\(\textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2 \qquad \begin{cases} c=\stackrel{hypotenuse}{10}\\ a=\stackrel{adjacent}{6}\\ b=\stackrel{opposite}{h}\\ \end{cases}\implies 10^2=6^2+h^2 \\\\\\ 10^2-6^2=h^2\implies \sqrt{10^2-6^2}=h\implies 8=h\)

so, the gazebo has 4 squarish faces, each 12x12, recall 48 ÷ 4 = 12, and it has 4 triangular faces, each with a height of 8 and a base of 12.

notice we're skipping the top and bottom of the cube and the bottom of the pyramid because they're not part of the "surface area".

\(\stackrel{\textit{\large Areas}}{\stackrel{\textit{4 triangular faces}}{4\left[\cfrac{1}{2}(12)(8) \right]}~~~~+~~~~\stackrel{\textit{4 squarish faces}}{4[12\cdot 12]}}\implies 192+576\implies 768\)

To factor this expression, you take out the greatest factor of 48 and 8 and also the greatest power of x that is in both terms. The greatest common factor of 48 and 8 is 8, and the greatest power of x is x to the 4th power. You rewrite the expression like this: 8x^4(6x - 1)

The maximum volume square candy box to be cut out is 2.88 inches.

If the size of the squares to also be cut out is x, then

A rectangular box's volume is provided by length x width x height.

V = (25 - 2x)(14 - 2x)x = x(350 - 78x + 4x²)

V = 350x - 78x² + 4x³

For the maximum volume of the candy box.

dV/ dt = 0

Differentiate the volume with respect to time.

dV/ dt = 350 - 156x + 12x².

Then,

350 - 156x + 12x² = 0

Solve the above quadratic equation by the quadratic formula and find the roots as-

x = 10.12  and 2.88

However, the size of a square cut out cannot be 10.12 because 10.12 inches cannot be cut from both sides of a 14-inch width.

As a result, the maximum volume square to be cut out is 2.88 inches.

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Answer:

364 and 658

Step by step explanation:

i got it right

Answer:

364 & 658

Step-by-step explanation:

Given :

A trailer will be used to transport several 40-pound crates to a store.

The greatest amount of weight that can be loaded into the trailer is 1,050 pounds.

An 82-pound crate has already been loaded onto the trailer.

To Find :

The greatest number of 40-pound crates that can be loaded onto the trailer.

Solution :

Weight left = 1050 - 80 = 970 pound.

Let, number of 40 pounds crates that can be loaded are x.

\(x = \dfrac{970}{40}\\\\x = 24.25\)

Since, crate cannot be in fraction, so maximum crate that can be loaded is 24.

Hence, this is the required solution.

To find the area between the given curves, we need to determine the points of intersection and integrate the difference between the curves over that interval. The specific steps and calculations for each pair of curves are as follows:

y = 4x – x^2, y = 3:

Find the points of intersection by setting the two equations equal to each other and solving for x. Then integrate the difference between the curves over that interval.

y = 2x^2 – 25, y = x^2:

Find the points of intersection by setting the two equations equal to each other and solving for x. Then integrate the difference between the curves over that interval.

y = 7x – 2x^2, y = 3x:

Find the points of intersection by setting the two equations equal to each other and solving for x. Then integrate the difference between the curves over that interval.

y = 2x^2 - 6, y = 10 – 2x^2:

Find the points of intersection by setting the two equations equal to each other and solving for x. Then integrate the difference between the curves over that interval.

y = x^3, y = x^2 + 2x:

Find the points of intersection by setting the two equations equal to each other and solving for x. Then integrate the difference between the curves over that interval.

y = x^3, y = ...

To find the area between two curves, we first need to determine the points of intersection. This can be done by setting the equations of the curves equal to each other and solving for x. Once we have the x-values of the points of intersection, we can integrate the difference between the curves over that interval to find the area.

For example, let's consider the first pair of curves: y = 4x – x^2 and y = 3. To find the points of intersection, we set the two equations equal to each other:

4x – x^2 = 3

Simplifying this equation, we get:

x^2 - 4x + 3 = 0

Factoring or using the quadratic formula, we find that x = 1 and x = 3 are the points of intersection.

Next, we integrate the difference between the curves over the interval [1, 3] to find the area:

Area = ∫(4x - x^2 - 3) dx, from x = 1 to x = 3

We perform the integration and evaluate the definite integral to find the area between the curves.

Similarly, we follow these steps for each pair of curves to find the respective areas between them.

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Answer:me

Step-by-step explanation:

Answer:

y= 2/5-1

Step-by-step explanation:

You get the 2/5 because you go 2 to the right and go 5 up, the -1 is because the x-int is at -1.