If the standard deviation of the data values in a sample is 13, what is the
variance of the data values?
A. 169
B. 225
C. 289
D. 361

Answers

Answer 1

Answer:

A. 169 is the correct answer


Related Questions

Eve surveys the students in her classroom to find out how much time they spent doing their homework last night. The results are plotted in the line plot below. The measurements are rounded to the nearest \dfrac{1}{4}
4
1

start fraction, 1, divided by, 4, end fraction of an hour

Answers

Answer: The answer is 5/4 :)

Answer:

5/4 or 1 1/4

Step-by-step explanation:

khan academy

Help Please?! ?????????????

Answers

Answer:

Ed's answer of [tex]\frac{3}{8}[/tex] is correct because he divided [tex]\frac{1}{4}[/tex] by [tex]\frac{2}{3}[/tex] to get his answer.

Step-by-step explanation:

To solve for m in [tex]\frac{2}{3}m=\frac{1}{4}[/tex] you want to isolate m by dividing by [tex]\frac{2}{3}[/tex] on both sides, therefore he divided [tex]\frac{1}{4}[/tex] by [tex]\frac{2}{3}[/tex] to get his answer of [tex]\frac{3}{8}[/tex], and his answer is correct.

Given the function h(x)=-x^2-5x+14 determine the average rate of change of the function over the interval -9

Answers

Answer:

The average rate of change of the function over the interval is of 6.

Step-by-step explanation:

Average rate of change:

The average rate of change of a function h(x) over an interval [a,b] is given by:

[tex]A = \frac{h(b)-h(a)}{b-a}[/tex]

In this question:

Over the interval [-9,-2], so [tex]a = -9, b = -2, b - a = -2 -(-9) = 7[/tex]

The function is:

[tex]h(x) = -x^2 - 5x + 14[/tex]

[tex]h(-9) = -9^2 -5(-9) + 14 = -81 + 45 + 14 = -22[/tex]

[tex]h(-2) = -2^2 -5(-2) + 14 = -4 + 10 + 14 = 20[/tex]

Then

[tex]A = \frac{h(-2)-h(-9)}{7} = \frac{20-(-22)}{7} = \frac{42}{7} = 6[/tex]

The average rate of change of the function over the interval is of 6.

I need this please ya

Answers

GE = 26

Step-by-step explanation:

OP = 16 + 9 = 25

PE - OG = 7

Using Pythagorean theorem,

(GE)^2 = (OP)^2 + (PE - OG)^2

=(25)^2 + (7)^2

= 625 + 49

= 674

or

GE = √674 = 25.96 or 26

Describe how to use a conversion factor to convert units. PLEASE HELP DUE TONIGHT

Answers

Answer:

A conversion factor is a number used to change one set of units to another, by multiplying or dividing. When a conversion is necessary, the appropriate conversion factor to an equal value must be used. For example, to convert inches to feet, the appropriate conversion value is 12 inches equal 1 foot.

Step-by-step explanation:

Please help!!! I am stressed so much!!

Answers

Answer:

You have to simplify the fraction and turn it into a decimal.

Step-by-step explanation:

Meaning: Make the fraction smaller and turn it into the correct decimal.

EXAMPLE:

2/4 simplified is 1/2

1/2 is equal to 0.50

A.
368/15 = 24 8/15
964/15 = 64 4/15
349/15 = 23 4/15

What are the coordinates of the turning point of the parabola whose equation is y=-x^2+4x+1

PLEASEEE ANSWERRRRRR

Answers

Answer:

The maximum of the parabola lands at (2,5).

The coordinates of the turning point of the parabola whose equation is y=-x²+4x+1 are (2, 5)

What is Coordinate system?

A coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points.

The equation of Parabola is y=-x²+4x+1

The turning point (vertex) is the point where the derivative is equal to zero.

y=-x²+4x+1

Differentiate the equation

dy/dx=-2x+4

Now equate dy/dx with zero

dy/dx=0

-2x+4=0

-2x=-4

x=2

Now put x value in the equation

y=-(2)²+4(2)+1

y=-4+8+1

y=5

Hence the coordinates of the turning point of the parabola whose equation is y=-x²+4x+1 are (2, 5)

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Solve the following: You purchase a set of Bluetooth earbuds for $45 and use a $5 off manufacturer's coupon. If sales tax is 8.25%, how much do you pay for the earbuds? Include the dollar sign in your answer and round to two decimal places.

Answers

Answer:

43.3

Step-by-step explanation:

45-5=40,

0.0825*40=3.3

40+3.3=43.3

given sin x= 7/25 abd cos x = 24/25. what is the ratio for tan x?​

Answers

Answer:

Solution given:

[tex] sin x=\frac{7}{25}[/tex]

[tex]Cosx=\frac{24}{25}[/tex]

Tanx=[tex]\frac{sinx}{cosx}=\frac{\frac{7}{25}}{\frac{24}{25}}[/tex]

Tan x=[tex] \frac{7*25}{24*25}[/tex]

tan x=[tex] \frac{7}{24}[/tex]

is a required answer.

1 hundredth + 3 tenths =?hundredths


Answers

Answer:

.01 + .3 = 0.31

Step-by-step explanation:

WILL GIVE BRAINLIEST!!!!
Plot the image of quadrilateral ABCD under a reflection across line L.​

Answers

Answer:

See image

Step-by-step explanation:

I clicked submit and it was right

Also dude I remember doing this and struggling before

The expense ratio (in percentage) for large-cap growth mutual funds have the following sample data0.52, 1.06, 1.26, 2.17, 1.55, 0.99, 1.10, 1.07, 1.81, 2.05 0.91, 0.79, 1.39, 0.62, 1.52, 1.02, 1.10, 1.78, 1.01, 1.15The data is believed to be normally distributed.a. Is there compelling evidence for concluding that the population mean expense ratio exceeds 1%? Carry out a test of the relevant hypothesis using a significance level 0.01.b. Referring back to part (a), describe in context type I and II errors and say which error you might have made in reaching your conclusion. The source from which the data was obtained reported that ? = 1.33 for the population of all 762 such funds. So did you actually commit an error in reaching your conclusion?c. Suppose that ? = 0.5, determine and interpret the power of the test in part (a) for the actual value of ? stated in (b).

Answers

Answer:

Part a:  Since the calculated value of t = 2.412 does not fall in the critical region t > ± 2.539 we conclude that population mean expense ratio does not exceed 1% at 0.01 significance level.

Part b:  Yes we accepted the null hypothesis when it is false so we made a type II error.

Part c: Power = 0.6591=0.66

Step-by-step explanation:

Part a:

Let the null and alternate hypotheses be

H0: u ≤ 1 against the claim Ha: u > 1

The significance level is ∝=0.01

As the standard deviation of the population is not given we use t- test which has n-1= 20-1= 19 degrees of freedom

This is one tailed test the critical region is t > ± 2.539

The mean is calculated to be 1.24 and standard deviation of the sample = s= 0.4486

We take population mean = u= 1

The test statistic is

t = x`-u/ s/ √n

t= 1.24-1 / 0.445/√20

t= 0.24/0.0995

t= 2.412

Since the calculated value of t = 2.412 does not fall in the critical region t > ± 2.539 we conclude that population mean expense ratio does not exceed 1% at 0.01 significance level.

Part b:

Type I errors are those errors when the null hypothesis is true and is rejected.

Type II errors are those in which the null hypothesis is false and is accepted.

If we had rejected the null hypothesis as it was true then we would have made a type I error.

Population mean = u = 1.33

And our null hypothesis is u= 1

Yes we accepted the null hypothesis when it is false so we made a type II error.

Part c:

When σ= 0.5

For Part a: μ= 1.33

Power = P (reject H0/ H0 is false)

= 1-β

P (reject H0/ H0 is false) = P (z > 2.539+ (u`-u0) / σ*√n)

= P (z > 2.539+ (1-1.33) /0.5 *√20)

=P (z > 2.539-2.9516)

= P (z > 0.4126)

= 0.5 - P (z= 0.2938)                                         from the area of table.

= 0.5- 0.1591

=0.3409

Power = 1-β = 1- 0.3409= 0.6591=0.66

Solve the system of equations.
2y+7x=−5
5y−7x=12

Answers

We can solve this by substitution method.

Look at the second equation. If we rearrange to find 7x, we can substitute in the value into the first equation.

[tex]5y-7x=12[/tex]

[tex]5y-7x-12=0[/tex]

[tex]5y-12=7x[/tex]

Therefore, [tex]7x=5y-12[/tex]

Now replace the 7x in the first equation with 5y - 12:

[tex]2y+7x=-5[/tex] (substitute in 7x = 5y - 12)

[tex]2y+(5y-12)=-5[/tex]

[tex]7y-12=-5[/tex]

[tex]7y=7[/tex]

[tex]y=1[/tex]

Now that we know y, we can find x by substituting in y = 1 into any equation we want. I will use the equation: 7x = 5y - 12

[tex]7x=5y-12[/tex] (substitute in y = 1)

[tex]7x=5(1) -12[/tex]

[tex]5x=5-12[/tex]

[tex]7x=-7[/tex]

[tex]x=-1[/tex]

__________________________________________________________

Answer:

[tex]y=1\\x=-1[/tex]

PLEASE HELP 7TH GRADE MATH
BRAINLIEST-SHOWS WORK
PLEASE HELP
ANSWE 1 OR MORE AN WILL MARK BRAINLIEST 1 OR MORE

Answers

Answer:

Slope=-3/4

Step-by-step explanation:

The slope is the rise/run or y/x

Points given for A are (-4, 3), for B (4, -3)

The formula for slope is m=y^2-y^1/x^2-x^1

https://calcworkshop.com/graphing-linear-equations/slope-formula/

So we'll plug in the information given into the formula.

-4-4/3--3

-8/3+3

-8/6

so our slope is m=-3/4

plz help????????????​

Answers

Answer:

b.

Step-by-step explanation:

Parallel lines have the same slope.

y = 3/5x + 5


y = -3/5x + 5


y = 3/5x - 5


y = -3/5x - 5

Answers

Answer:

y= 3/5x+5

Step-by-step explanation:

The y intercept is 5 and the graph is going upwards so it is a postive slope. If you look at at the graph from the y intercept point to point B you can see it goes up by 3 and right by 5 so the slope is 3/5. This makes the equation y=3/5x+5

The answer is y=3/5+5

If the perimeter of each of the seven regular hexagons in the figure shown is 24, what is the perimeter of the figure?​

Answers

Answer:

the answer is 144(that is 6×24)

What is another way to write 5/5? *​

Answers

Answer:

Hello! answer: 1

Step-by-step explanation:

5/5 is 1 whole so you could write it as 1 because 5/5 is worth 100%

Donna is participating in a 6-day cross-country biking challenge. She biked for 51, 62, 61, 47, and 63 miles on the first five days. How many miles does she need to bike on the last day so that her average (mean) is 56 miles per day?

Answers

Answer:

52 miles

Step-by-step explanation:

total miles needed to average 56

56 * 6 = 336

miles after 5 days

51 + 62 + 61 + 47 + 63 = 284

miles needed on last day

336 - 284 = 52 miles

Your class earned $110.00 Saturday afternoon by washing cars to raise money for a class trip. This is 14 of the money needed for the trip. What is the total amount needed?

Answers

Answer: $1,540.00 is the total amount needed for the class trip

Step-by-step explanation:

Data: $110.00 earned for class trip

14th of the money needed

Money needed: x

Step one, Make the equation

110x14=x

Reason: Since we know 110.00 is a 14th of the money needed, we know multipling it by 14 will get us the money needed for the class trip. Having it in an equation will make it easier to solve.

Step two, Evaluate the equation

110x14=x=1540=x

Reason: The only thing that was left to do was to multiply 110 by 14 to get 1540 since the x was already isolated to begin with. That leaves us with the  answer of x=1540.

However, since this is a real world problem, we have to make the answer more realistic so the final answer is '$1,540.00 is the total amount needed for the class trip'

I hope this helps!

Match each pair of Lines to the correct description
parallel lines
EP and CD
perpendicular lines
GH and EF
neither parallel nor
perpendicular lines
AB and CD

Answers

Answer:

Parallel = AB and CD

Perpendicular = EF and CD

Neither: GH and EF

Step-by-step explanation:

Parallel lines will go on forever without touching, they are aligned with each other.

Perpendicular lines intersect with 4 right angles

The Parallel lines are AB and CD and Perpendicular lines are  EF and CD.

It is required to find the solution.

What is line?

A line is a straight one-dimensional figure having no thickness and extending infinitely in both directions. A line is made of a set of points which is extended in opposite directions infinitely. It is determined by two points in a two-dimensional plane. The two points which lie on the same line are said to be collinear points.

Given:

The given figure shown as four lines are given AB , CD ,EF , CD  ,GH and EF.

According to given question we have

Parallel = AB and CD

Perpendicular = EF and CD

Neither parallel nor perpendicular lines: GH and EF

Parallel lines are those lines that are equidistant from each other and never meet, no matter how much they may be extended in either directions

Perpendicular lines are lines that intersect at a 90-degree angle.

Therefore , the Parallel lines are AB and CD and Perpendicular lines are  EF and CD.

Learn more details about Lines here:

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What is 10° equivalent to?

Answers

Answer:  [tex]\frac{\pi}{18}[/tex]

Step-by-step explanation:

To convert from degree to radians, multiply by [tex]\frac{\pi}{180}[/tex], the conversion ratio.

Thus, 10 x [tex]\frac{\pi}{180}[/tex] = [tex]\frac{\pi}{18}[/tex]

how is y=2x^2-8x+9 rewritten in vertex form.

Answers

9514 1404 393

Answer:

  y = 2(x -2)^2 +1

Step-by-step explanation:

Start by factoring the leading coefficient from the x-terms.

  y = 2(x^2 -4x) +9

Now identify the coefficient of x, -4, and figure half of that: -2. Square this number and add it inside the parentheses. At the same time, subtract the equivalent value outside parentheses. (The leading coefficient must be taken into account.)

  y = 2(x^2 -4x +4) +9 -2(4)

Put in the desired form.

  y = 2(x -2)^2 +1

This matches vertex form ...

  y = a(x -h)^2 +k . . . . . . . . . vertical scale factor 'a'; vertex (h, k)

So what would be the answer?

Answers

Answer:

i

Step-by-step explanation:

Answer:

did you forget a picture?

Step-by-step explanation:

if you did, either add it in the comments, or make a new question

What is the function graphed below?


Answers

9514 1404 393

Answer:

  B.  y = x + 0.5

Step-by-step explanation:

The y-intercept of 0.5 eliminates choices A and C.

When x increases by 1, y increases by 1, eliminating choice D.

The equation of choice B is graphed.

  y = x + 0.5

Can someone help me please???

Simplify.

(x^5)^4

Answers

Answer:

x^20 please mark me brainliest

Step-by-step explanation:

what is the volume of the aquarium?

Answers

Answer:

3000 in3 ? I haven't actually done this i-ready before- but I believe it's

Width x Length x Height = Final result?

Step-by-step explanation:

I have no idea pls help

Answers

Answer:

Area= 90

Step-by-step explanation:

triangle area: (b x h) / 2

(12 x 15) / 2

(180) / 2

a= 90

How many books could you read in 114 days if you read 2 books every 3 days?

Answers

Answer:

76 books

Step-by-step explanation:

2/3 × 114 = 76

__________

What is the domain of y= tan(x)?

Answers

Answer:

Step-by-step explanation:

The domain of the function y=tan(x) ) is all real numbers except the values where cos(x) is equal to 0 , that is, the values π2+πn for all integers n . The range of the tangent function is all real numbers.

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