a spinner has 8 congruent sectors: 6 yellow and 2 green. the radius of the spinner is 5cm. what is the area of the yellow sector.​

Answer:

0.0416

Step-by-step explanation:

Given :

Number of balls :

Pink = 8 ; black = 9

Total number of balls = 8+9 = 17

Choosing with replacement :

Probability = required outcome / Total possible outcomes

Required outcome = number of black balls

Total possible outcomes = total number of balls

P(black) = 9/17

Number of picks = 5

Hence, Probability that all 5 picks are black :

P(all black) = 9/17 * 9/17 * 9/17 * 9/17 * 9/17 = 0.0415879

= 0.0416

Answer:

a > -2

Step-by-step explanation:

whenever we multiply, divide with "-" sign the inequality reverse its order

Answer: 32=3⋅3=9

Step-by-step explanation:

9 is the answer

The area of the figure in this problem is given as follows:

A. 30 in².

The area of a triangle is given by half the multiplication of the base length by the height of the triangle.

Applying the Pythagorean Theorem, we can obtain the missing side length, as follows:

4² + x² = 6²

x² = 36 - 16

x² = 20

x = square root of 20

x = 4.47.

For a right triangle, one side is considered the height of the other, hence the sides are:

Hence the area of the triangle is then obtained as follows:

Area = 0.5 x 4 x 12.47

Area = 25 in².

Which is closest to 30 in².

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A. The system of equations in standard form is: 4x + 5y = 540 and 3x + 5y = 440.

B. The y-intercept of the equation representing the prices on Saturday night is 108, and the y-intercept of the equation representing the prices at the matinee on the second day is 88.

A) Let's define the variables:

Let x represent the number of children attending.

Let y represent the number of adults attending.

On Saturday night:

The equation for the revenue generated on Saturday night is:

4x + 5y = 540 (since children's tickets cost $4 and adults' tickets cost $5, and the total revenue is $540).

Matinee on the second day:

The equation for the revenue generated at the matinee is:

3x + 5y = 440 (since children's tickets cost $3 and adults' tickets still cost $5, and the total revenue is $440).

Therefore, the system of equations in standard form is:

4x + 5y = 540

3x + 5y = 440

B) Let's rewrite the system of equations in slope-intercept form:

On Saturday night:

4x + 5y = 540

Rearranging the equation, we get:

5y = -4x + 540

Dividing both sides by 5, we get:

y = (-4/5)x + 108

The y-intercept of this equation is 108.

Matinee on the second day:

3x + 5y = 440

Rearranging the equation, we get:

5y = -3x + 440

Dividing both sides by 5, we get:

y = (-3/5)x + 88

The y-intercept of this equation is 88.

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Check the picture below.

Answer:

A.  A'(32, 16) B'(48, 16) C'(64, 48)

Step-by-step explanation:

Dilation is a transformation in geometry that changes the size of a figure while preserving its shape. It involves multiplying the coordinates of each point by a scale factor relative to a fixed center of dilation to create a new figure that is either larger or smaller than the original. The center of dilation serves as the fixed point around which the figure is expanded or contracted.

To dilate a figure where the center of dilation is the origin (0, 0), simply multiply each coordinate point by the scale factor.

In this case, as we have not been given a center of dilation, so we can assume it is the origin. The given scale factor is 4.

Given coordinates of the vertices of triangle ABC:

To find the new coordinates after dilation with the origin as the center of dilation, multiply each coordinate point by the scale factor of 4.

A' = (8 · 4, 4 · 4) = (32, 16)

B' = (12 · 4, 4 · 4) = (48, 16)

C' = (16 · 4, 12 · 4) = (64, 48)

Therefore, the new coordinates of the dilated triangle are:

The value of x that makes the line containing (1,2) and (5,3) perpendicular to the line containing (x,4) and (3,0) is x = 2.

To determine the value of x such that the line containing (1,2) and (5,3) is perpendicular to the line containing (x,4) and (3,0), we need to find the slope of both lines and apply the concept of perpendicular lines.

The slope of a line can be found using the formula:

slope = (change in y) / (change in x)

For the line containing (1,2) and (5,3), the slope is:

slope1 = (3 - 2) / (5 - 1) = 1 / 4

To find the slope of the line containing (x,4) and (3,0), we use the same formula:

slope2 = (0 - 4) / (3 - x) = -4 / (3 - x)

Perpendicular lines have slopes that are negative reciprocals of each other. In other words, if the slope of one line is m, then the slope of a line perpendicular to it is -1/m.

So, we can set up the equation:

-1 / (1/4) = -4 / (3 - x)

Simplifying this equation:

-4 = -4 / (3 - x)

To remove the fraction, we can multiply both sides by (3 - x):

-4(3 - x) = -4

Expanding and simplifying:

-12 + 4x = -4

Adding 12 to both sides:

4x = 8

Dividing both sides by 4:

x = 2

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Both the inequalities (- 3 > 1 - 3 = 3)  and  (1 < 3 - 3 < 1) are false.

We have the following integers -

- 3, 1 and 3.

The given inequality are -

- 3 > 1 - 3 = 3

1 < 3 - 3 < 1

- 3 > 1 - 3 = 3

- 3 > - 2 = 3

Which is false.

1 < 3 - 3 < 1

1 < 0 < 1

Which is false.

Therefore, both the inequalities (- 3 > 1 - 3 = 3)  and  (1 < 3 - 3 < 1) are false.

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Answer:

● The pythagorian theorem

The pythagorian theorem is used to find a missing side of a right triangle.

It states that the square of the hypotenus of a right triangle is equal to the sum of the squares of the two other sides.

Let a be the hypotenus, b and c are the othet sides:

☆☆☆☆☆ a^2 = b^2 + c^2☆☆☆☆☆

There are more than 350 way to prove this theorem.

■■■■■■■■■■■■■■■■■■■■■■■■■■

● Hippasus of Croton was a member of the highly-secretive school og Pythagoras in Croton. He is credited in history as the first person to prove the existence of irrational numbers.

The rate of the jet in still air is 1150 miles per hour and what is the rate of the jetstream is 220 miles per hour

An equation is an expression that is used to show how numbers and variables are related using mathematical operators

Let a represent the speed of the jet in still air and b represent the speed of the jet stream.

Flying against the jetstream, a jet travels 7440 miles in 8 hours, hence:

a - b = 7440/8

a - b = 930     (1)

Flying with the jetstream, the same jet travels 12,330 miles in 9 hours, hence:

a + b = 12330/9

a + b = 1370    (2)

From both equations, solving simultaneously:

a = 1150, b = 220

The rate of the jet in still air is 1150 miles per hour and what is the rate of the jetstream is 220 miles per hour

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I really really don't know

Answer:

Brooke and Tony

Step-by-step explanation:

multiply by 4 Brooke got 64 Tony got 68.

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:

Step-by-step explanation:

let, the length is z

thus the ratio will be 5z : 4z

perimeter = 2 (a + b)

360 = 2 ( 5z + 4z )

180 = 9z

z = 20 cm

length = 100 cm and width = 80cm

area = length * width

area = 100*80

area = 8000cm²

Using the t-distribution, it is found that since the p-value of the test is 0.72 > 0.05, there is not significant difference between the values of each group.

At the null hypothesis, we test if the groups have the same values, that is, the subtraction of their means is 0:

\(H_0: \mu_2 - \mu_1 = 0\)

At the alternative hypothesis, we test if the groups have different values, that is, the subtraction of their means is different of 0:

\(H_1: \mu_2 - \mu_1 \neq 0\)

First, we have to find the mean and the standard deviation for both samples, hence, using a calculator:

\(\mu_1 = 18.75, \sigma_1 = 6.2507, \mu_2 = 19.75, \sigma_2 = 4.2678\)

The standard errors are:

\(s_1 = \frac{\sigma_1}{\sqrt{n_1}} = \frac{6.2507}{\sqrt{8}} = 2.21\)

\(s_2 = \frac{\sigma_2}{\sqrt{n_2}} = \frac{4.2678}{\sqrt{8}} = 1.5089\)

For the distribution of differences, we have that:

\(\overline{x} = \mu_2 - \mu_1 = 19.75 - 18.75 = 1\)

\(s = \sqrt{s_1^2 + s_2^2} = \sqrt{2.21^2 + 1.5089^2} = 2.676\)

We have the standard deviation for the samples, hence, the t-distribution is used. The test statistic is given by:

\(t = \frac{\overline{x} - \mu}{s}\)

In which \(\mu\) is the value tested at the null hypothesis, which is 0 for this problem. Hence, the value of the test statistic is:

\(t = \frac{\overline{x} - \mu}{s}\)

\(t = \frac{1 - 0}{2.676}\)

\(t = 0.37\)

To find the p-value, we have a two-tailed test, as we test if the means are different from a value, with t = 0.37 and 8 + 8 - 2 = 14 df.

Using a t-distribution calculator, this p-value is of 0.72.

Since the p-value of the test is 0.72 > 0.05, there is not significant difference between the values of each group.

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Answer:

Answer: 90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love you.

Step-by-step explanation:

Answer:

1.43 = x

Step-by-step explanation:

Math in the picture attached. Hope it helps!

The equation of a line in the slope-intercept form is:

y = mx + b

where m is the slope and b is the y-intercept.

Substituting with m = 0 and b = 4, we get:

y = 0*x + 4

y = 0 + 4

y = 4

Answer:

Step-by-step explanation:

(-4 - 8)/(5 + 1)= -12/6 = -2

Option C

Answer:

A: 2400

B: 600

C: 1800

Step-by-step explanation:

A= x+3x=4x

C = x+2x= 3x

4x+x+3x = 4800

8x= 4800

x= 600

share of A= 2400$

share of B= 600$

share of C= 1800$

Answer:

c

Step-by-step explanation:

C hope this helps

Answer:

(x-5)^2 + (y+6)^2 = 4

Step-by-step explanation:

The equation of a circle is given by

(x-h)^2 + (y-k)^2 = r^2 where (h,k) is the center and r is the radius

(x-5)^2 + (y- -6)^2 = 2^2

(x-5)^2 + (y+6)^2 = 4

Answer:

46

Step-by-step explanation:

46 I believe. I think it's 46. Don't count the units on the corners

The correct option is D. The graph of f(x) is shifted 10 units down.

In mathematics, a graph is described as a pictorial depiction or diagram that organizes data or values.

The graph's points frequently represent the relationship among two or more things.

For the given question;

The function is given as; f(x) = 1/x

Where x is the domain which is shown on x axis.

and f(x) is the range which is shown on y axis.

Thus, for the relation of g(x) = 1/x -10.

Whatever the value of the input for x, the output is shown on y axis.

Now, as the value expression is decreased by 10, thus the output value for y will reduced by 10.

Therefore, the graph of f(x) will shift downward by 10 units.

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