Let p be a prime. Compute the following sum (mod p):

Answer: 62

Step-by-step explanation HI

Answer:

Mary has two friends over, she wants to split half of a cake she has left over into thirds for her and her friends. 1/2 ÷ 3 is 1/6. This means that each friend will get 1/6 of the full cake.

Step-by-step explanation:

I make up stories and know how to divide fractions. To solve a division problem like this you want to take the 3 and turn it into 3/1. then, flip the 1/2 around to it is 2/1. Then, multiply the two together.

Answer:

1/3 because there's more of the other marbles than red

Step-by-step explanation:

Answer:

x = 14.1

Step-by-step explanation:

Reference angle = 62°

Side opposite to reference angle = x

Hypotenuse = 16

Applying trigonometric ratio, thus:

Sin 62 = x/16

Multiply both sides by 16

16*sin 62 = x

14.1271615 = x

x = 14.1 (nearest tenth)

I graphed it using slope-intercept form.

Answer:

Slope-intercept form: (y=mx+b) y=3x+10

To graph, place points at (-2, 4), (-3, 1), and (-4, -2), then draw a line connecting them

Step-by-step explanation:

The 10 in the equation represents where the line will intercept the y-axis. The 3x means that for every 1 unit you move to the right, you move 3 units up (or 1 to the left, 3 units down).

Answer:

The value is a statistic, since it is from a sample.

Step-by-step explanation:

If the value is from a population, it is a parameter.

Otherwise, if the value is from a sample, it is a statistic.

In this question:

In a random sample of U.S. households, it was found that 72% have high-speed Internet.

The value is from a sample, so it is a statistic.

Answer:

b=9

Step-by-step explanation:

54=6b

b=9

(divide by 6 to get b alone)

Answer:

28 students would vote for kim

Step-by-step explanation:

Well first you do 12/15 which would be 0.8

Now to find how many students in that class said they would vote for Kim for class president, we multiply 0.8 by 35 to get that 28 students said they would vote for kim

Answer:

A. 442.05

Step-by-step explanation:

✔️First find the radius of circle J:

θ = 43°

Acr length = 52.8

Thus,

Acr length = θ/360*2πr

Plug in the values

52.8 = 43/360*2*π*r

52.8 = 0.751r

Divide both sides by 0.75

52.8/0.75 = r

r = 70.4 (nearest hundredth)

✔️Find the Circumference of circle J:

Circumference = 2πr

Radius (r) of circle J = 70.4

Plug in the values

Circumference = 2*π*70.4

= 442.34

This is close to the answer in option A. Therefore, the answer is 442.05.

Answer: 1324.12 sq. cm.

Step-by-step explanation:

A=2πrh+2πr2

A = 2π x 8.2 x 17.5 + 2π x 8.2^2

A = 2π x 143.50 + 2π x 67.24

A= 1324.12

9514 1404 393

Answer:

  about 28.6%

Step-by-step explanation:

The conditional probability equation can be used:

  P(arrested | not in jail) = P(arrested & not in jail)/P(not in jail)

  = 0.24/0.84 = 2/7 ≈ 28.6%

Answer:

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

18 ÷ 3 = 6

6+3 =15

hope this helps

Answer:

26

Step-by-step explanation:

56cm-48cm=8cm

18cm+8cm=26cm

this is so easy if you ask me u already know the answer and the answer is definitely 26 so make sure to like and rate my answer because that's why I mainly help people to get more points but as I just started it is difficult because people have got twice more than me

Answer:

[tex]\displaystyle no[/tex]

Step-by-step explanation:

The triangle on the right is bigger than the triangle on the left.

I am joyous to assist you at any time.

Answer: The Solution to inequality is _______ (x < -4). A graph of the solution should have______  (A filled-in circle at -4) and should be shaded to the ____ (left)

Hope this helps! Please people give more explantions like this Y'ALL MAKE IT COMPLICATED! :)

Answer:

Step-by-step explanation:

a). By applying Pythagoras theorem in right triangle ABC,

AC² = AB² + BC²

20² = 16² + BC²

BC = [tex]\sqrt{400-256}[/tex]

     = 12

Therefore, another leg of the triangular base = 12 cm

Area of the triangular base ABC = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

                                                      = [tex]\frac{1}{2}(16)(12)[/tex]

                                                      = 96 cm²

Volume of a triangular prism = Area of the triangular base × height

                                       960 = 96 × b

                                          b = 10 cm

b). Area of the triangle ABC = 96 cm²

1:6

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Answer:

Part A: Peter is, based on the graph, Peter's line is steeper(or has a higher slope) than Gina's.

Part B: Gina, She started with 70, while Peter started with 20. Based on the graph

Part C: They had the same amount of money on week 10, both of their dots are on the same point. Based on the graph.

Part D: Y = 10x + 20.

Part E: Y = 5x + 70

Step-by-step explanation:

Answer:

180 bestie

Step-by-step explanation:

The magnitude of rotational symmetry of the given ellipse is angle 180°.

Suppose that the major axis is of the length 2a units, and that minor axis is of 2b units, and let the ellipse is centered on (h,k) with major ellipse parallel to x-axis,

then the equation of that ellipse would be:

[tex]\dfrac{(x-h)^2}{a^2} + \dfrac{(y-k)^2}{b^2} =1[/tex]

Coordinates of its foci would be:  [tex](h \pm c, k)[/tex] where   c^2 = a^2 - b^2

Let the magnitude of rotational symmetry of the given ellipse is angle θ.

Measure of angle θ is a straight line.

Measure of angle θ = 180°

Therefore, with a rotation of 180° ellipse will overlap itself.                                              

Learn more about ellipse here:

https://brainly.com/question/19881832

#SPJ2

Answer:

We conclude that the equation of the line is:

Step-by-step explanation:

The slope-intercept form of the line equation

[tex]y = mx+b[/tex]

where

Given the data table

x      -3 -5 -7 -9 -11

y      -16 -26 -36 -46 -56

From the table taking two points

Determining the slope between (-3, -16) and (-5, -26)

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(-3,\:-16\right),\:\left(x_2,\:y_2\right)=\left(-5,\:-26\right)[/tex]

[tex]m=\frac{-26-\left(-16\right)}{-5-\left(-3\right)}[/tex]

[tex]m=5[/tex]

Thus, the slope of the line is:  m = 5

substituting m = 5 and (-3, -16) in the slope-intercept form of the line equation  to determine the y-intercept b

[tex]y = mx+b[/tex]

-16 = 5(-3) + b

-16 = -15 + b

b = -16+15

b = 1

Thus, the y-intercept b = 1

now substituting m = 5 and b = 1 in the slope-intercept form of the line equation

[tex]y = mx+b[/tex]

[tex]y = 5x + 1[/tex]

Therefore, we conclude that the equation of the line is:

Answer:

The answer to the question provided is 14.4 ft.

Step-by-step explanation:

We can solve this using proportion!

[tex] \frac{18}{x} = \frac{10}{8} \\ \\ \frac{10x}{10} = \frac{144}{10} \\ \\ x = 14.4[/tex]

Answer: Six $5 ones and 10 $2 ones.

Step-by-step explanation:

draw a diagram.

the two are similar bc of AAsimilarity

so 8.8 is to 4 as 22 is to x

basically the answer is 10 ft tall

Answer:

a) [tex]P(t) = 3166t + 65309[/tex]

b) The slope of 3166 means that each year, the population increases, on average, by 3166 million people.

The P-intercept of 65309 means that the population of Pakistan in 1972 was of 65309 million people.

c) The estimated population of Pakistan in 2027 will be of 239 439 million people.

Step-by-step explanation:

Linear function:

In this question, the linear function for the Population in Pakistan in t years after 1972 is given by the following equation:

[tex]P(t) = mt + P(0)[/tex]

In which P(t) is given in millions of people.

In which m is the slope, that is, the average number by which the population changes each year, and P(0) is the population in 1972.

a) Determine the estimation function P = f (t), where P equals the population of Pakistan and t equals time measured in years since 1972.

In 1972, the population was of 65.309 million. This means that [tex]P(0) = 65.309[/tex].

So

[tex]P(t) = mt + 65.309[/tex]

In 2017, the population was 207.774 million.

2017 - 1972 = 45

This means that [tex]P(45) = 207.774[/tex]. So

[tex]207774 = 45m + 65309[/tex]

[tex]45m = 207774 - 65309[/tex]

[tex]m = \frac{(207774 - 65309)}{45}[/tex]

[tex]m = 3166[/tex]

So

[tex]P(t) = 3166t + 65309[/tex]

b) Interpret the slope and P intercept

Following the explanation before item a:

The slope of 3166 means that each year, the population increases, on average, by 3166 million people.

The P-intercept of 65309 means that the population of Pakistan in 1972 was of 65309 million people.

c) According to this function, what will be the estimated population of Pakistan in 2027 census?

2027 - 1972 = 55

So this is

[tex]P(55) = 3166*55 + 65309 = 239 439[/tex]

The estimated population of Pakistan in 2027 will be of 239 439 million people.

Answer:

x=0

y=-3

Step-by-step explanation:

Answer:

$10511.075

Step-by-step explanation:

Given :

Interest rate, r =. 1.25% = 0.0125 compounded semianually

Principal = 10000

Number of years, t = 4 years

Compound interest :

A = P(1 + r/n)^nt

A = final amount ; n = number of compounding times per period

n = 2 (quarterly)

A = 10000(1 + 0.0125/2)^2*4

A = 10000(1 + 0.00625)^8

A = 10000(1.00625)^8

A = 10000 * 1.051107529

A = 10511.075

Final. Amount to. Be repaid = $8515.13