1 The heights of 9 students of a class are as follows (in cm):
155, 160, 145, 150, 147, 152, 144 148
a. Find the average height of the students in this class.

Answer:

Standard deviation = 4

Step-by-step explanation:

Given the following data;

Mean = 25

Variance = 16

To find the standard deviation;

Mathematically, standard deviation is given by the formula;

[tex]Standard \; deviation = \sqrt{variance}[/tex]

Substituting into the formula, we have;

[tex]Standard \; deviation = \sqrt{16}[/tex]

Standard deviation = 4

Answer:

I rhink the answer would be 273°

Step-by-step explanation:

57+180=237°

Answer:

∠ BAC = 28.5°

Step-by-step explanation:

∠ AOB = 180° - 57° = 123° ( straight angle )

OA and OB are congruent ( radii of the circle ) , then Δ AOB is isosceles with base angles congruent, that is

∠ BAC = ∠ ABO , then

∠ BAC = [tex]\frac{180-123}{2}[/tex] = [tex]\frac{57}{2}[/tex] = 28.5°

Answer:

1320

Step-by-step explanation:

i am

Answer:

https://brainly.com/question/22830500

Step-by-step explanation:

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The set of values that make the inequality -g > -6 true are; -5.9, -5, -1, 0, 1, 5, 5.9.

According to the question;

The equivalent inequality can be gotten as follows;

By dividing both sides by -1, we get;

Therefore, the set of values that satisfy the inequality are as listed above.

Read more:

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Answer:

1/26

Step-by-step explanation:

There is only one 6 of hearts and only one ace of diamonds.

The probability of selecting the 6 of hearts is thus 1/52, and that of selecting the ace of diamonds is also 1/52.

The probability of selecting the 6 of hearts or the ace of diamonds is the SUM of these two results:  1/52 + 1/52 = 2/52 = 1/26.

Answer:

1/3, 3/8 are closer to 0

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

dont know i just remeberd

Answer:

What is your question so I can answer it directly okay

Answer:

616 cm^2

Step-by-step explanation:

Steps to derive the answer

1. we are going to first determine the radius from the circumference

2. we would calculate the area

Circumference of a circle = 2nr

n = 22/7

r = radius

88 = 2 x 22/7 x r

Divide both sides of the equation by 2 x 7/22

r = 14

Area of a circle = nr^2

3.14 x 14^2 = 616 cm^2

Answer:

V = 267.95

Step-by-step explanation:

Volume of a Sphere:

V = 4/3πr³

r = d/2

r = 4

Work:

V = 4/3πr³

V = 4/3(3.14)(4³)

V = 4/3(3.14)(64)

V = 267.95

Answer:

268.1 cm^3

Step-by-step explanation:

The formula for the volume of a sphere of radius r is V = (4/3)(pi)(r)^3.

If the diameter of this sphere is 8 cm, then the radius is 4 cm, and r^3 = 64 cm^3.  Thus, the volume is:

V = (4/3)(3.14)(64 cm^3) = 268.1 cm^3

Answer:

1

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

1. List the prime factors of each number.

2. Circle every common prime factor — that is, every prime factor that's a factor of every number in the set.

3. Multiply all the circled numbers. The result is the GCF.

Answer:

1

Step-by-step explanation:

Answer:

here you go

Step-by-step explanation:

"Correlation is not causation" means that just because two things correlate does not necessarily mean that one causes the other. ... Correlations between two things can be caused by a third factor that affects both of them. This sneaky, hidden third wheel is called a confounder

Why does correlation not equal causation example?

It does not tell us why and how behind the relationship but it just says the relationship exists. Example: Correlation between Ice cream sales and sunglasses sold. As the sales of ice creams is increasing so do the sales of sunglasses. Causation takes a step further than correlation.

Answer:

80,000

Step-by-step explanation:

because you are just adding a extra zero

Answer:

axis of symmetry is 2

vertex is (2,-4)

Step-by-step explanation:

I hope this helps.

Answer:

P(h, k) → P'(k, -h)

Step-by-step explanation:

Rule to be followed,

If a point P(h, k) is rotated 90° clockwise about the origin, coordinates of the image point P' will be,

P(h, k) → P'(k, -h)  

Similarly, all vertices of the parallelogram PQRS will follow the same rule when rotated 90° about the origin to form P'Q'R'S'.

The calculated quadratic function for the height of the rocket is "[tex]h = 64t - 16.085t^2[/tex]" and the further calculation of the given points can be defined as follows:

For point A):

Rocket Initial velocity (u) [tex]= 64 \ \frac{feet}{sec}[/tex]

Considering gravity's acceleration of 32.17 feet/sec2

The rocket's height can be expressed as follows:

[tex]h = ut - \frac{1}{2} \times 32.17 \times t^2 \\\\h = 64 - 16.085 \times t^2 \\\\h = 64t - 16.085t^2[/tex]

For point B):

A y-axis indicates its rocket's height in feet, whereas the x-axis represents the duration in seconds.

Please find the attached file.

For point C):

Find out more information about the velocity here:

brainly.com/question/25749514

Answer:

A sample size of 385 is needed.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

You feel that a reasonable estimate of the standard deviation is 10.0 hours.

This means that [tex]\sigma = 10[/tex]

What sample size is needed so that the expected margin of error of your estimate is not larger than one hour for 95% confidence?

A sample size of n is needed. n is found when M = 1. So

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]1 = 1.96\frac{10}{\sqrt{n}}[/tex]

[tex]\sqrt{n} = 1.96*10[/tex]

[tex](\sqrt{n})^2 = (1.96*10)^2[/tex]

[tex]n = 384.16[/tex]

Rounding up:

A sample size of 385 is needed.

Answer:

<x=22.02431284 degrees

Step-by-step explanation:

sin(x)=3/8

sin^-1(3/8)=<x

<x=22.02431284 degrees

Answer: 14

Step-by-step explanation:

VW corresponds to BA. VW is twice the length of BA, so VU must be twice the length of BC

Answer:

[tex]y=C_1e^{-x}+C_2xe^{-x}+\frac{1}{5}e^{2x}.[/tex]

Step-by-step explanation:

all the details see in the attached picture.

Answer:

D and E

Step-by-step explanation: Math

Answer:

d and e

Step-by-step explanation:

419.56-75.68=343.88

199.75+143.712=343.462

Step-by-step explanation: 4d−9=5(2d−3)

im sorry sorry if im wrong pls forgive me :')

also have a blessing day! :)

Answer:

m<2=60

Step-by-step explanation:

52+68=120+60=180

Answer:

please give me brainlist and follow

Step-by-step explanation:

1/10 of 1 m = 10 cm.

Step-by-step explanation:

shown in the photo I have provided

The graph of the given function f (x) = sin (πx/2) is attached below.

Function is a type of relation, or rule, that maps one input to specific single output.

If we plugged in x = 0, then we get

f (x) = sin (πx/2)

Therefore, this sine curve goes through the origin. The point is on the midline y = 0, the x axis.

We need either a minimum or maximum point. the expression f (x) is the same as . We will divide 2π over the coefficient of π/2 to get

The plot of the the maximum or minimum point closest to the first point is plotted in the graph.

Learn more about function here:

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#SPJ2

Answer:

A

Step-by-step explanation:

Just took the test

The statement that asserts a true claim would be:

A). The height is approximately r units and the base length is approximately πr units.

The sector is described as an element of the circle or a part that extends to the center.

In the given figure, the height of the congruent sectors would be equivalent to r units as the radius is r units.

While the length of its base would be equivalent to πr units to denote the base length.

Thus, option A is the correct answer.

Learn more about "Height" here:

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Answer:

A- [tex]5.12*10^{-4}[/tex]

Step-by-step explanation:

1.6* 3.2

add the exponents so 10 to the -4