identify the slope of the represented by the equation below. y=-1 / 4 x + 7​
y=-3X+5

The sampling distribution of sample means for a random sample of 40 dogs will be approximately normally distributed with a mean of 15 pounds and standard deviation of 4 pounds divided by the square root of 40.

This is due to the central limit theorem, which states that as the sample size increases, the distribution of sample means approaches a normal distribution regardless of the shape of the population distribution. In this case, the large enough sample size (n=40) will allow us to assume normality for the sampling distribution of sample means.
The standard deviation of the sampling distribution (also known as the standard error) is calculated by dividing the population standard deviation by the square root of the sample size. In this case, the standard error is  \(\frac{4}{\sqrt{40}} = 0.632\).
Therefore, option C is the correct answer. Option A is incorrect because the sampling distribution is not necessarily strongly skewed right, as the central limit theorem will cause the distribution to approach normality. Option B is incorrect because the standard deviation of the sampling distribution is not 0.632 pounds, but rather the standard error is 0.632 pounds. Option D is incorrect because the standard deviation of the sampling distribution is not the same as the standard error.

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Answer: 298.8 seconds

Step-by-step explanation: 4.98*60=298.8

Answer:

298.8

Step-by-step explanation:

4.98x60=298.8 so you have been understand

Hello!

The answer is 207,126 10/81!

Hopefully this helps! :D

The volume of cylinder based on the dimensions of radius and height is 1296π m³.

The volume of cylinder can be calculated by the formula -

V = πr²h, where V refers to volume of the cylinder, r is the radius of the cylinder and h is the height of the cylinder.

Now, keeping the value of the dimensions in the formula to find the volume of cylinder.

V = π × 12² × 9

Taking square and performing multiplication on Right Hand Side of the equation

V = 1296π m³

Note that we have not kept the value of π in the formula to find the exact correct answer. Thus, the volume of 1296π m³.

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Answer:

30 miles per gallon

Step-by-step explanation:

I jus Done this one

\(m=\frac{\Delta y}{\Delta x}=\frac{-2-6}{16-(-30)}=\frac{-8}{46}=\boxed{-\frac{4}{23}}\).

Hope this helps.

The Equation of line -

The slope intercept form of a line is given by -

y = mx + c

m is the slope of line

c is the y - intercept

Given is a line that passes through the point (3, 10) and in case [1] is parallel to line y = x - 1 and in case [2] is  perpendicular to y = x - 1.

Case 1 -  Line is parallel to the line y = x - 1

Assume that the equation of line is -

y = mx + c

Since, the line is parallel, both lines will have same slope and is given by -

m = 1

Since, the line passes through the point (3, 10) we can write -

10 = 1 x 3 + c

c = 7

We can write the equation of line parallel to line y = x - 1 as -

y = x + 7

Case 2-  Line is perpendicular to the line y = x - 1 -

Assume that the equation of line is -

y = mx + c

Since, the line is perpendicular, the product of slopes of both lines will be equal to 1. The slope (m) of the line will be -

m x 1 = -1

m = -1

Since, the line passes through the point (3, 10) we can write -

10 = -3 + c

c = 13

We can write the equation of line perpendicular to line y = x - 1 as -

y = - x + 13

Therefore, the equation of line -

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The width of a rectangular prism with a surface area of 930 square units is  21.4 units.

What is the surface area of the rectangle?

The area of the rectangle can be calculated by multiplying l×w, The units associated with the surface area will always be units squared. The area is the result of multiplying two dimensions, length, and width, which can be represented as a power of 2.

The surface area of the rectangular prism is given by:

SA = 2lw + 2lh + 2wh

Where,

l: length

w: width

h: height

Therefore, by substituting values we have:

the surface area of 930 square units if its length is 12 units and its height is 9 units.

SA = 2lw + 2lh + 2wh

930 = 2(12)w + 2(12)(9) + 2w(9)

930 = 24w + 33 + 18w

930 - 33 = 24w + 18w

897 = 42w

w = 897/42

w = 21.4

Hence, the width of a rectangular prism with a surface area of 930 square units is  21.4 units.

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Answer:

A line traveling to the left with an open dot on x=1.

Explanation:

The inequality x < 1 basically means "less than 1." On number lines, the further left you go, the smaller the number becomes, and the further right you go, the larger the number becomes. So we know that because it's less or smaller than 1, then the line will be to the left. On the other hand, the inequality does not have a line under it to indicate a "less than or equal to 1," just "less than." Therefore, the dot is open. If there were a line under the inequality, then it would indicate "less than or equal to 1" and the dot would be closed.

Answer:

C

6/13

Step-by-step explanation:

Comment

This is not a true sequence. It just has the same things done to the numerator as to the denominator.

The numerator (top part of the fraction).

Add 3 to the previous numerator's top

So 3 + 3 = 6 which is the numerator of the second term.

15 + 3 = 18 which is the numerator of the seventh term.

So the numerator of the 4th term is 9 + 3 = 12

The Denominator

The difference there is 5

So 21 + 5   = 26

The answer is

12/26

This reduces down to 6/13

Given the functions:

You have to subtract the functions:

Note that I wrote both functions in parentheses separated by the minus sign. For the seconf term, the minus sign is as if the parenthesis is being multiplied by -1, the sign of both x and 9 is inverted:

Order the like terms

And simplify

So the result in standard form is

The rocket's height after 3 seconds is 6.3 sec.

The quadratic equation y = -x2 - 12x, where y is the height of the rocket in metres at time x seconds after launch, may be used to describe the trajectory of a model rocket. The rocket's highest point should be noted, along with the time it was at that height.

A rocket's height is a function of time, h(t), where h is measured in metres and t is measured in seconds. 9.8 m/s2 is the rate of change of velocity (d2h dt2 - t). The rocket is catapulted into the air, reaching a speed of 50 m/s at time t0.

To find the rocket's height at t = 2 sec, we just have to substitute 2 into the equation for t and then solve for h:

h = -5*t2 + 30*t + 10

h = -5(2)2 + 30(2) + 10

h = -5(4) + 30(2) + 10

h = -20 + 60 +10

h = 50 m

The height of the rocket 2 seconds after launching it is 50 meters.

To find the x-coordinate of the vertex of a parabola, we use the formula:

\(xvertex = -b / 2a\)

t - 3 = ± √(11)

t = 3 ± √(11)

t = 3 ± 3.3

Solving for t, we get two solutions:

t = 3 - 3.3

t = -0.3 sec

and

t = 3 + 3.3

t = 6.3 sec

Remember that the rocket takes off from an elevated platform (the roof of a building), not from the ground, in order to comprehend the two alternatives we came up with. Even though we have two x-intercepts, only one of them, tground = 6.3 seconds, is related to when the rocket touches down. The other x-intercept, t = -0.3 sec, only has theoretical significance and is therefore irrelevant in our actual situation.

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There are 18 distinct groups of three that contain two men and one woman.

We have,

To determine the number of distinct groups of three that contain two men and one woman, we need to consider the available options.

The club has a total of four men and three women.

We want to choose two men from the four available men and one woman from the three available women.

The number of ways to choose two men from four is given by the combination formula:

C(4, 2) = 4! / (2!(4-2)!) = 6

Similarly, the number of ways to choose one woman from three is:

C(3, 1) = 3! / (1!(3-1)!) = 3

To find the total number of distinct groups, we multiply these two combinations together:

6 * 3 = 18

Therefore,

There are 18 distinct groups of three that contain two men and one woman.

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The probability of getting 2 the same color is 9/11.

What is probability?

  According to the probability formula, the probability of an event occurring, or P(E), is equal to the proportion of positive outcomes to all outcomes. P(E) is defined mathematically as favorable outcomes divided by total outcomes. Mathematical branch known as probability deals with determining the possibility of an event occurring. Here using probability we can also calculate combination .

Here the total number of marbles are,

=>Total marbles = Blue + Red + Green

=>Total marbles = 5 + 4 + 3

=>Total marbles = 12

Then, Probability of a green = 3/12

=> Probability of not green = 1 - 3/12 = 9/12=3/4

To get exactly one green in two draws, we either get a green, not green, or a not green, green

=>First Draw Green, Second Draw Not Green

=> 1st draw: Probability of a green = 3/12

In 2nd draw: Probability of not green = 9/11 <-- 11 since we did not replace the first marble

To get the probability of the event, since each draw is independent, we multiply both probabilities

=> Probability of the event is (5/12) * (9/11) = 45/132

First Draw Not Green, Second Draw Not Green

=>1st draw: Probability of not a green = 9/12

=>2nd draw: Probability of not green = 7/11 <-- 11 since we did not replace the first marble

To get the probability of the event, since each draw is independent, we multiply both probabilities

=>Probability of the event is (9/12) * (7/11) = 63/132

To get the probability of exactly one green, we add both of the events:

First Draw Green, Second Draw Not Green + First Draw Not Green, Second Draw Not Green

=> 45/132 + 63/132 = 108/132=9/11.

Hence the probability of getting 2 the same color is 9/11.

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Answer:

i think its (6,4)

Step-by-step explanation:

The area of a new circle that has line segment GX as its diameter is 121 pi cm² .

Suppose that,

The radius of the small circle (GH) = 10 cm.

The radius of the big circle (HX) = 12 cm.

We will add the line GH and HX to get the total length of line segment GX.

So, GX = GH + HX

            = 10 + 12

      GX = 22 cm.

So, the diameter of new circle will be equal to line segment GX as it is given in the question.

Then, the area of new circle  = π r²    ( r = radius)

 Radius = D/2 = 22/2      (D = Diameter)

           r = 11

Now,     Area = π × 11²

                     = 121π cm²

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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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Answer:

\(y = x+12\)

Step-by-step explanation:

Parallel => This means it has the same slope as this one.

Slope = m = 1

Now,

Point = (x,y) = (-6,2)

So, x = -6, y = 2

Putting this in slope intercept form to get b

\(y = mx+b\)

=> 2 = (1)(-6) + b

=> b = 2+6

=> b = 8

Now putting m and b in the slope-intercept form to get the required equation:

=> \(y = mx+b\)

=> \(y = x+12\)

Answer:

Now, I’m gonna assume that the equation is actually y = -4/3x + 11

The answer would be -4/3x - 6

Step-by-step explanation:

So since the line is parallel to the equation, y = -4/3x + 11, that means they have the same slope, so it’s -4/3x.

Using point-slope form, we can create an equation.

y - 2 = -4/3 (x + 6)

y1 = 2 and x1 = -6, we made it into +6 because subtracting a negative makes it addition.

Now our final equation would be y = -4/3x - 6

We will see that the given equation is false for all values of z, thus, the equation has no solutions.

Here we have the absolute value equation:

3*|2z + 9| + 12 = 10

To solve this we first need to isolate the absolute value part, so let's do that:

3*|2z + 9| + 12 = 10

3*|2z + 9| = 10 - 12 = -2

|2z + 9| = -2/3

Now, remember that the absolute value is always a positive quantity, then the above equation is false, an absolute value never can be equal to a negative number.

Then our equation has no solutions.

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Answer:

It would be y = -5/3x + 50/3

Step-by-step explanation:

You would use the point slope formula y - y₁ = m ( x - x₁) and insert the point and slope.

Answer:

6

Step-by-step explanation:

As the highest power of x in the expression is 6, the degree is 6

Answer:

3x6+2x5+6x3−5

Standard Form

Step-by-step explanation:

HAVE A BLESS DAY :D

Answer: \(f(-3)=\dfrac12\)

Step-by-step explanation:

Given: \(f(x)=4(2)^x\), which is an exponential growth function.

To evaluate: f(-3)

Substitute x=-3 in the given function, we get

\(f(-3)=4(2)^{-3}\\\\=4(\dfrac{1}{2})^3\ [a^{-n}=\dfrac1{a^n}]\\\\=4\times\dfrac1{2^3}\\\\=4\times\dfrac18\\\\=\dfrac12\)

Therefore, the value of \(f(-3)=\dfrac12\).

Answer:

- 61

Step-by-step explanation:

-3 - 58 = -61

times 1 is

is -61

Answer:  

vertex= 4,-25

y coordinate of vertex = (x+4)2-25

x coordinate of vertex= x2-8x-9

Step-by-step explanation:

Answer:

Step-by-step explanation:

\(log \dfrac{a}{b}=log \ a - log \ b\\\\log \ a^{m}=m*log \ a\\\\\\log_{3} \ \dfrac{16}{7}=log_{3} \ 16 - log_{3} \ 7\\\\\\= log_{3} \ 4^{2} - log_{3} \ 7\\\\=2*log_{3} \ 4 - log_{3} \ 7\\\\= 2 * 1.262 - 1.771\\\\= 2.524 - 1.771\\\\= 0.753\)

The frequency distribution table can be used to analyze the distribution of companies based on their per unit sales, and can help identify trends and patterns in the data.

To construct a frequency distribution of companies based on per unit sales, we need to gather data on the sales figures of each company and then categorize them into intervals of per unit sales.

Here is an example frequency distribution table based on per unit sales ($ millions):

Per unit sales ($ millions) Frequency
0.0 up to 0.5             2
0.5 up to 1                 4
1 up to 1.5                  6
1.5 up to 2                 8
2 up to 2.5                5
2.5 up to 3                3
3 up to 3.5                2
3.5 up to 4                1

In this table, we have eight intervals of per unit sales, ranging from 0.0 up to 4.0 million dollars. For each interval, we count the number of companies that fall within that range, and record the frequency. For example, we have 2 companies with sales figures between 0.0 and 0.5 million dollars, 4 companies with sales figures between 0.5 and 1 million dollars, and so on.

This frequency distribution table can be used to analyze the distribution of companies based on their per unit sales, and can help identify trends and patterns in the data.

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Answer:

x = 13°

Step-by-step explanation:

What can be seen is the line RO and QP parallel to one another.

∠LMO and ∠OMZ are supplementary angles.

These two angles add up to a total of 180°.

∠OMZ = ∠PZJ

*They are corresponding angles*

This would also mean that

∠LMO + ∠PZJ = 180°

By looking at the respective values of both angles we can compute:
\(9x+18^o+2x+19^o=180^o\) ---> combine like terms.

\(11x=143^o\)  ---> divide both sides by 11.

\(x=13^o\) ---> final result

Thank you,

Eddie E.

Answer:

I disagree.

Step-by-step explanation:

The reasoning may be wrong but I believe it is disagree.

I am going to keep it simple.

On the spinner there are 4 options, 3 for red and 1 for yellow.

Therefore, we have a 1/4 chance to get a yellow once.

If we get a yellow again, it is another. 1/4 chance.

1/4 x 1/4 is 1/16, considerably smaller than 1/3.

Answer:

From inspection of the diagram, we can see that the spinner is divided into 4 equal parts, where 3 parts are red and 1 part is yellow.

\(\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}\)

Therefore,

\(\implies \textsf{Probability of getting a red} = \sf \dfrac{3}{4}\)

\(\implies \textsf{Probability of getting a yellow} = \sf \dfrac{1}{4}\)

Multiplication Rule for Independent Events

For independent events A and B:

Therefore,

\(\begin{aligned}\implies \sf P(yellow\:and\:yellow) & = \sf P(yellow) \times P(yellow)\\\\ & = \sf \dfrac{1}{4} \times \dfrac{1}{4}\\\\ & = \sf \dfrac{1}{16}\end{aligned}\)

Ari is incorrect.  The spinner is divided into 4 parts, where only one part is yellow.  Therefore, the probability of spinning a yellow is 1/4.  As the events are independent, the Multiplication Rule should be used to calculate the probability of spinning 2 yellows.  So the probability of spinning 2 yellows is 1/4 x 1/4 = 1/16.

Answer:

x = -10/3

Step-by-step explanation:

−4(x−5)=−7x+10

Use the distributive property to multiply −4 by x−5.

−4x+20=−7x+10

Add 7x to both sides.

−4x+20+7x=10

Combine −4x and 7x to get 3x.

3x+20=10

Subtract 20 from 10 to get −10.

3x=−10

Divide both sides by 3.

x = -10/3