In order to compute a sample mean by hand, first the data values must be added up. Then the sum is divided by the
sample size.
x = xx
Given the data set below, compute the summation, identify the sample size, and calculate the sample mean.
19
10
15
17
16
a.) Ex =
b.) n =
c.) x =

Answer:

(2x-10)/4= 3x

2x-10=3x(4)

2x-10=12x

-10=10x

-1=x

Step-by-step explanation:

Answer:

X = -5/2 Should be right

Step-by-step explanation:

Answer:

\(x>-\frac{4}{3}\) AND \(x<-2\)

Step-by-step explanation:

-9x + 5 < 17 AND 13x + 25 < -1

13x + 25 < -1

Subtract 25 from both sides;

13x < -26

Divide both sides by 13;

x < -2

-9x + 5 < 17

Subtract 5 from both sides;

-9x < 12

Divide both sides by -9

x > \(-\frac{12}{9}=-\frac{4}{3}\)

The function g(x) in the form a(x-h)^2 + k is: \(g(x) = (x + 2)^2 - 4\)

Starting with\(f(x) = x^2\), the translation 2 units left and 4 units down would result in the following transformation:

g(x) = f(x + 2) - 4

Substituting\(f(x) = x^2:\)

\(g(x) = (x + 2)^2 - 4\)

Expanding the square:

\(g(x) = x^2 + 4x + 4 - 4\)

Simplifying:

\(g(x) = x^2 + 4x\)

Now we need to rewrite this expression in the form \(a(x-h)^2 + k.\) To do this, we will complete the square:

\(g(x) = x^2 + 4x\\g(x) = (x^2 + 4x + 4) - 4\\g(x) = (x + 2)^2 - 4\)

Therefore, the function g(x) in the form a(x-h)^2 + k is:

\(g(x) = (x + 2)^2 - 4\)

Where a = 1, h = -2, and k = -4.

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Answer:

w(25) = 96

There are 96 wolves in the year 2020

Step-by-step explanation:

Given:

\(w(x)=14\cdot 1.08^{x}\)

w(25) =

\(w(25)=14\cdot 1.08^{25}\\\\= 14 * (6.848)\\\\=95.872\\\\\approx 96\)

Number of years : 1995 + 25 = 2020

In 2020, there are 96 wolves

Answer:

7*(5)^0,5

:D hope it helps

Answer:

Third option is correct!

Step-by-step explanation:

x+19<28

or, x<9

so

x = {3,4,5,6}

if 70% of 200 people ordered sandwiches then the number of people who ordered sandwiches

= 70% * 200

= 70/100 * 200

= 140 People

The 3rd option

Answer: ok ok

Step-by-step explanation:

Step-by-step explanation:

First we need to isolate the y, by dividing -4 on both sides. This will give you y = 1/4x - 5.

Now you can properly graph the equation:

Since -5 is the y-intercept (the point in which the line intercepts the y-axis), we will place our first point at (0,-5) on the graph.

In order to find the next point, we will use the slope of the line and do rise/run. So we will go upwards 1 unit and to the right 4 units.

(Image of graph will be attached above⤴⤴⤴)

Hope this helps you :)

Step-by-step explanation:

we know that on a 30 60 90 trianlge the length of the side opposite the 30 degree angle is half of the length of hypotenuse.So in this problem

the length of the side opposite the 30 angle is 17/2

talking about exercise on the photo the answer is

8√3 because it is given that the length of the side opposite the 30 anlge is 8 so hypotenuse is 16 we mentioned why before.

Now lets use pythagorean theorem

x^2+y^2=z^2

z is hypotenuse

8^2+y^2=16^2

64+y^2=256

y^2=256-64

y^2=192

y=8√3

Answer:

A) 427 × 3 = 400 × 3 + 20 × 3 + 7 × 3

Step-by-step explanation:

\(427*3=(400+20+7)*3=(400*3)+(20*3)+(7*3)\)

Therefore, the first option is correct

The HL Congruence Theorem can be used in the triangles ABC and CDA

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

The triangle pairs (7) and (8)

The HL Congruence Theorem can be used to prove the congruence of the triangles if

In the first pair ABC and CDA

These triangle satisfy the above conditions

In the second pair XYV and ZYV

These triangle do not satisfy the above conditions

Hence, the HL Congruence Theorem can be used in the triangles ABC and CDA

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Answer:

x^2

Step-by-step explanation:

1^2=1

2^2=4

3^2=9

4x

Step-by-step explanation:

I think x(5 - 1) is ur answer

X(5-1)

=X(4)

=4x

Hope this helps

Answer:

2.38888

Step-by-step explanation:

That's what is says hope this helps

\(\qquad \qquad \textit{inverse proportional variation} \\\\ \textit{\underline{y} varies inversely with \underline{x}} ~\hspace{6em} \stackrel{\textit{constant of variation}}{y=\cfrac{\stackrel{\downarrow }{k}}{x}~\hfill } \\\\ \textit{\underline{x} varies inversely with }\underline{z^5} ~\hspace{5.5em} \stackrel{\textit{constant of variation}}{x=\cfrac{\stackrel{\downarrow }{k}}{z^5}~\hfill } \\\\[-0.35em] ~\dotfill\)

\(\stackrel{\textit{"y" varies inversely with "x"}}{y = \cfrac{k}{x}}\hspace{5em}\textit{we also know that} \begin{cases} x=4\\ y=16 \end{cases} \\\\\\ 16=\cfrac{k}{4}\implies 64 = k\hspace{9em}\boxed{y=\cfrac{64}{x}} \\\\\\ \textit{when x = 32, what's "y"?}\qquad y=\cfrac{64}{32}\implies y=2\)

There is not enough evidence to conclude that the mean time in changing a muffler is less than 13 minutes.

To determine whether there is enough evidence to conclude that the mean time in changing a muffler is less than 13 minutes, we can conduct a one-sample t-test with the following hypotheses:

Null hypothesis: The true mean time in changing a muffler is equal to 13 minutes.

Alternative hypothesis: The true mean time in changing a muffler is less than 13 minutes.

Use the formula to calculate the test statistic,

\(t = \dfrac{(x - \mu)} { \dfrac{s} { \sqrt{n}}}\)

where x is the sample mean, μ is the hypothesized population mean (13 minutes), s is the sample standard deviation, and n is the sample size (6).

Plugging in the numbers, we get:

t = (12.3 - 13) / (2.3 / √6) = -0.72

Using a t-distribution table with 5 degrees of freedom (n - 1), we find that the critical value for a one-tailed test with α = 0.05 is -2.571. Since our calculated t-value (-0.72) is greater than the critical value, we fail to reject the null hypothesis.

Therefore, there is not enough evidence to conclude that the mean time in changing a muffler is less than 13 minutes.

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The answer would be C - "Cheetah B has a higher ratio of miles per minute than Cheetah A because 17 over 8 is less than 56 over 20."

also "get it right please" ?! how rude

Answer:

415 miles

Step-by-step explanation:

Start with the speed equation:

speed = distance/time

Now solve the speed equation for distance:

distance = speed × time

Apply the speed equation solved for distance to the two parts of the trip.

4 hours at 55 mph:

distance = 55 mph × 4 hours = 220 miles

3 hours at 65 mph:

distance = 65 mph × 3 hours = 195 miles

Add the two distances to find the total distance:

total distance = 220 miles + 195 miles = 415 miles

Answer: 415 miles

Answer:

415 miles

Step-by-step explanation:

Simon drove 55 miles per hour for 4 hours then 65 miles per hour for 3 hours.

How far did he drive?

d=rt

For the first part of the trip:

d = 55 * 4 = 220 miles

For the second part of the trip:

d = 65*3 =195 miles

Add the miles together

220+195 = 415 miles

Answer:

The equation of the line is:

\(y = -4\,x +16\)

Step-by-step explanation:

A line perpendicular to the given one is going to have a slope equal to the opposite of the reciprocal of 1/4. That is the slope of the new line will be "-4".

Now we write the point-slope form for a line using the info provided of slope -4 and point (5, -4):

\(y-y_0=m\,(x-x_0)\\y - (-4) = -4 \,(x-5)\\y+4 = -4\,x +20\\y = -4\,x +16\)

Answer:

y = -4x + 16

Step-by-step explanation:

For questions like this, I would first find the slope of the line that we are trying to find the equation for. To do this, I would use the line y = 1/4x - 2 and find the slope of a line that would be perpendicular to it. Taking the negative reciprocal of the slope of y = 1/4x - 2 will do just that.

By looking at the equation y = 1/4x - 2, we can see that the slope of the line is 1/4. The negative reciprocal of 1/4 would be -4, which would be the slope of the line whose equation we are trying to find.

Since we have a point on the line, and we now have the slope of the line, we can now make an equation for the line in point-slope form:

y + 4 = -4(x - 5)

Now while this is an equation for the line, lets try to get it into slope-intercept form:

y + 4 = -4(x - 5)

Distribute the -4 on the right side of the equation.

y + 4 = -4x + 20

Subtract 4 from both sides.

y = -4x + 16

And now we have the equation of the line in slope-intercept form.

I hope you find my answer helpful.

The interest Edward earned from the savings account in which he deposited $6,000 for 4 years at a simple interest rate of 3% was $720.

Simple interest is the interest system that calculates interest only on the principal.

Unlike compound interest, simple interest does not compute interest on the accumulated interest.

Savings account deposit = $6,000

Savings period = 4 years

Simple interest rate = 3%

Simple interest = Principal x Rate x Time

= $6,000 x 3% x 4

= $720

Thus, Edward earned $720 in interest from the savings.

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a) The break-even point for the division is: 4000 units

b) The level of sales for 10% profit is: 4681 units

The break-even point is defined as the point at which total cost and total revenue are equal, meaning there is no loss or gain for your small business. In other words, you've reached the level of production at which the costs of production equals the revenues for a product.

a) We are told that:

Selling price for income tax app = $8

Monthly fixed cost = $20000

Variable cost producing each app = $3

Thus:

8x = 3x + 20000

5x = 20000

x = 4000 units

b) 8x = 1.1(3x + 20000)

8x = 3.3x + 22000

4.7x = 22000

47x =220000

x = 4681 units

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Missing questions are:

(a) Find the break-even point for the division.

(x,y)=

(b) What should be the level of sales in order for the division to realize a 10% profit over the cost of making the income tax apps? (Round your answer up to the nearest whole number.)

Answer:

5

Step-by-step explanation:

You start with each membership for each gym as your starting point, then you add the personal sessions to that number.

Silver Gym: 25 65 105

Fit Factor: 75 105

As you can see, it will take Sarah 5 sessions to have both costs equal

Answer:

-306 feet vertical change

Answer: 55,000,000

this might not be right but hear

Therefore, the interquartile range for the given data set is 27.5.

The interquartile range (IQR) is a measure of variability or spread of a set of data. It is calculated as the difference between the upper quartile (Q3) and the lower quartile (Q1) of a dataset. The quartiles divide the dataset into four equal parts, with each part containing an equal number of data points. The lower quartile (Q1) is the median of the lower half of the dataset, and the upper quartile (Q3) is the median of the upper half of the dataset.

Here,

To find the interquartile range (IQR), we first need to find the median of the data set. The median is the middle value when the data set is arranged in order. To arrange the data set in order, we have:

6, 12, 14, 15, 15, 20, 35, 48, 87

The median is the middle value, which is 15.

Next, we need to find the median of the lower half of the data set (also called the first quartile or Q1). To do this, we take the median of the values below 15:

6, 12, 14, 15, 15

The median of this set is 14.

Similarly, we need to find the median of the upper half of the data set (also called the third quartile or Q3). To do this, we take the median of the values above 15:

20, 35, 48, 87

The median of this set is (35+48)/2 = 41.5.

Finally, the interquartile range is the difference between Q3 and Q1:

IQR = Q3 - Q1

= 41.5 - 14

= 27.5

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If two lines are perpendicular, their slopes must be reverse opposites, which means that the slope of one of the equations will be the negative reciprocal of the slope of the other equation.

For example, if one of the equations has a slope m=2, the slope of a perpendicular line will be m= -1/2

The equations are:

Equation 1: 4y+24=0

Equation 2: 4x-28=0

Write the first equation for y:

Write the second equation for x:

The first equation is a horizontal line at y=-6 and the second equation is for a vertical line at x=7. Since the first line is parallel to the x-axis (its slope is equal to zero) and the second line is parallel to the y-axis (it' slope is undetermined) you can conclude that both lines are perpendicular.

Answer:

28m + 24f

Step-by-step explanation:

4(7m + 6f)

28m + 24f (distributive property of equality)