Which value can be added to the set below without changing its mean?
{4, 10, 14, 18, 22, 22}

Given:

Two figures.

To find:

The area of the shaded regions for both figures.

Solution:

In first figure, the shaded area is a triangle with base 15 units and height 12 units. So, the area of the shaded region is equal to area of the triangle.

[tex]A=\dfrac{1}{2}\times base\times height[/tex]

[tex]A=\dfrac{1}{2}\times 15\times 12[/tex]

[tex]A=\dfrac{180}{2}[/tex]

[tex]A=90[/tex]

Therefore, the area of the shaded region is 90 square units.

In the seconds figure, we need to subtract the area of square from the area of triangle, to get the area of the shaded region.

Area of triangle with base 15 and height 18 is:

[tex]A_1=\dfrac{1}{2}\times 15\times 18[/tex]

[tex]A_1=\dfrac{270}{2}[/tex]

[tex]A_1=135[/tex]

Area of the square with sides 6.

[tex]A_2=(side)^2[/tex]

[tex]A_2=(6)^2[/tex]

[tex]A_2=36[/tex]

Now, the area of the shaded region is:

[tex]A=A_1-A_2[/tex]

[tex]A=135-36[/tex]

[tex]A=99[/tex]

Therefore, the area of the shaded region is 99 square units.

Answer:

36

Step-by-step explanation:

Angle BEC is a right angle. The total degree of a right angle is 90. So if you subtract 90 by 54, then you get the value of the remaining angle, which is 36.

Answer:

Table of values

[tex]x \to y[/tex]

[tex]0 \to -5[/tex]

[tex]1 \to -2[/tex]

[tex]2 \to 1[/tex]

[tex]3 \to 4[/tex]

[tex]4 \to 7[/tex]

[tex]5 \to 10[/tex]

See attachment for graph

Step-by-step explanation:

Given

[tex]y = 3x - 5[/tex]

Solving (a): Make a table

Considering the values of x from 0 to 5, we have:

When [tex]x = 0[/tex]

[tex]y = 3x - 5 \to 3 * 0 - 5 = -5[/tex]

When [tex]x = 1[/tex]

[tex]y = 3x - 5 \to 3 * 1 - 5 = -2[/tex]

When [tex]x = 2[/tex]

[tex]y = 3x - 5 \to 3 * 2 - 5 = 1[/tex]

When [tex]x = 3[/tex]

[tex]y = 3x - 5 \to 3 * 9 - 5 = 4[/tex]

When [tex]x = 4[/tex]

[tex]y = 3x - 5 \to 3 * 4 - 5 = 7[/tex]

When [tex]x = 5[/tex]

[tex]y = 3x - 5 \to 3 * 5 - 5 = 10[/tex]

So, we have:

[tex]x \to y[/tex]

[tex]0 \to -5[/tex]

[tex]1 \to -2[/tex]

[tex]2 \to 1[/tex]

[tex]3 \to 4[/tex]

[tex]4 \to 7[/tex]

[tex]5 \to 10[/tex]

Solving (b): The graph

See attachment

Answer:

6x(x^2 - 2x + 3)

Step-by-step explanation:

By looking at these terms, we can realize that they all have a term to do with x and are divisible by 6. So, we have our GCF, which is 6x. Now, to factor out 6x, we have to divide every term by 6x; they will all divide without a remainder because we already established they were all divisible by 6x.

So, we get the division(for each term separately):

6x^3/6x - we can cancel out 6x from the numerator and denominator to get: x^2

-12x^2/6x -  we can cancel out 6x from the numerator and denominator to get: -2x

-18x/6x -  we can cancel out 6x from the numerator and denominator to get:

3

When we put this together we get:

6x(x^2 - 2x + 3)

This is the final answer

Answer:

The image's not clear!

Step-by-step explanation:

Answer:

The answer is 30 (C)

Answer:

13,34 , 150

Step-by-step explanation:

just proportions

Answer:

Longest

Step-by-step explanation:

The moon appears red during a lunar eclipse because red is the Longest wavelength of light in the color spectrum present in sunlight.

-Please Mark As Brainliest

Answer:

Step-by-step explanation:

on the 250ml ÷ 140 ml = 1L and 78757ml

on the 200 ml ÷ 150 ml = 1L and 333ml

on the 150 ml ÷ 160 ml = 9375ml

on the 100 ml ÷ 170 ml = 58832ml

plz mark me as brainliest

Answer:

(2 , 1)

Step-by-step explanation:

point Z (x, y)

x = 3/5 × (6+4) + (-4)

= 3/5×10 -4

= 6-4

= 2

y = 3/5 ×(3+2) + (-2)

= 3/5 ×5 -2

= 3-2

= 1

so, point Z => (2 , 1)

Answer:

is it 120

Step-by-step explanation:

it is 120 I can't really explain how I got it though

Answer:

[tex] {x}^{2} = (10) {}^{2} + (16 - 9) {}^{2} \\ {x}^{2} = ({10})^{2} + (7) {}^{2} \\ {x}^{2} = 100 + 49 \\ {x}^{2} = 149 \\ x = \sqrt{149 } \\ x = 12.2[/tex]

Answer:

5 ( x + 7 )

Step-by-step explanation:

= 5x + 35

= 5 ( x + 7 )

Therefore, after factorizing you will get 5 ( x + 7 )

Answer:

hey , it can be factored:

this is the factored expression:

5(x+7)

Answer:

A. 9.8ft

Step-by-step explanation:

work out arc length using this formula

[tex]2\pi \: \times r \times \frac{\theta}{360} [/tex]

r is the radius, 7 in this case and theta(the symbol above 360) is the angle, 80 in this case

Answer:

y = x - 4

When x = 8 , y = 8 - 4 = 4

when x = 12, y = 12 - 4 = 8

Option C

Answer:

m∡x = 95°

m∡y = 147°

m∡z = 128°

Step-by-step explanation:

m∡z = 180-52 = 128

measure of third angle in left triangle = 180-(45+50) = 85°

m∡x = 180-85 = 95°

measure of top angle in right triangle = 180-(95+52) = 33°

m∡y = 180-33 = 147°

Answer: : = 5 : 9

Step-by-step explanation:

Answer:

i think it would be 5:9

Step-by-step explanation:

Change values to whole numbers.

Convert any decimal numbers to integers by multiplying both sides by 101 = 10 to eliminate all, 1, decimal places.

We then have:

2.5 : 4.5 = 25 : 45

Try to reduce the ratio further with the greatest common factor (GCF).

The GCF of 25 and 45 is 5

Divide both terms by the GCF, 5:

25 ÷ 5 = 5

45 ÷ 5 = 9

The ratio 25 : 45 can be reduced to lowest terms by dividing both terms by the GCF = 5 :

25 : 45 = 5 : 9

Therefore:

2.5 : 4.5 = 5 : 9

Answer:

The 95% confidence interval estimate of the population mean  is (7.38, 8.46).

Step-by-step explanation:

Before building the confidence interval, we need to find the mean and standard deviation of the sample.

In this sample, there are 50 values.

Mean of the sample:

Sum of all values divided by the number of values.

With the help of a calculator, the mean is of 7.92.

Standard deviation:

Square root of the division of the sum of the difference squared between each value and the mean by the number of the values.

With the help of a calculator, the standard deviation is of 1.8958.

Confidence interval:

We have the confidence interval for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 50 - 1 = 49

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 49 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.01

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 2.01\frac{1.8958}{\sqrt{50}} = 0.54[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 7.92 - 0.54 = 7.38

The upper end of the interval is the sample mean added to M. So it is 7.92 + 0.54 = 8.46

The 95% confidence interval estimate of the population mean  is (7.38, 8.46).

Answer:

3.46

Step-by-step explanation:

Answer:

3.46

Step-by-step explanation:

346% = 346/100 = 3.46

Step-by-step explanation:

-6,-2,0,4,8

this is the answer

Answer:

hot boy shirtless

Step-by-step explanation:

Answer:

3. B

4. B

5. C

Step-by-step explanation:

Answer:

y=-2/5x-11/5

Step-by-step explanation:

y-y1=m(x-x1)

y-(-3)=-2/5(x-2)

y+3=-2/5x+4/5

y=-2/5x+4/5-3

y=-2/5x+4/5-15/5

y=-2/5x-11/5

Answer:

D

Step-by-step explanation:

Area =  l × w

=  30 × 20

=  600 feet2

Answer:

242 or 15.6

Step-by-step explanation:

Answer:

153:20

Step-by-step explanation:

765000/100000

=153/20

Whats the total package cost of the pond and he said he would have to be full of Candy :')