i) Consider the following figure,

​

​

​

Answer:

10 square units.

Step-by-step explanation:

Remark

No matter how weird it looks, the figure is a trapezoid. It has 2 parallel lines.

The height has 2 right angles, one at each end.

Givens

b1 = 2

b2 = 8

h = 2

Formula

Area = 1/2 * (b1 + b2 ) * h

Solution

Area = 1/2 * (2 + 4 + 2 + 2) * 2    Be sure you understand where all those 2s came from.

Area = 10 square units

Answer:

Population mean = 7 ± 2.306 × [tex]\frac{2.29}{\sqrt{9} }[/tex]

Step-by-step explanation:

Given - A university researcher wants to estimate the mean number

            of  novels that seniors read during their time in college. An exit

            survey was conducted with a random sample of 9 seniors. The

            sample mean was 7 novels with standard deviation 2.29 novels.

To find - Assuming that all conditions for conducting inference have

              been met, which of the following is a 94.645% confidence

              interval for the population mean number of novels read by

              all seniors?

Proof -

Given that,

Mean ,x⁻ = 7

Standard deviation, s = 2.29

Size, n = 9

Now,

Degrees of freedom = df

                                = n - 1

                                = 9 - 1

                                = 8

⇒Degrees of freedom = 8

Now,

At 94.645% confidence level

α = 1 - 94.645%

   =1 - 0.94645

  =0.05355 ≈ 0.05

⇒α = 0.5

Now,

[tex]\frac{\alpha}{2} = \frac{0.05}{2}[/tex]

  = 0.025

Then,

[tex]t_{\frac{\alpha}{2}, df }[/tex]  = 2.306

∴ we get

Population mean = x⁻ ± [tex]t_{\frac{\alpha}{2}, df }[/tex] ×[tex]\frac{s}{\sqrt{n} }[/tex]

                           = 7 ± 2.306 × [tex]\frac{2.29}{\sqrt{9} }[/tex]

⇒Population mean = 7 ± 2.306 × [tex]\frac{2.29}{\sqrt{9} }[/tex]

Answer:

E

Step-by-step explanation:

on ap classroom

Answer:

55

Step-by-step explanation:

7 x 10 = 70

4 x 10 = 40

70 + 40 = 110

110 / 2 = 55

Answer:

B.

Step-by-step explanation:

Assuming the cost increased linearly is equivalent to assuming the cost increased at a constant rate. Because the cost of the clothing increased from $620 to $1,000 in 10 years, the constant rate is equal to

= ($1,000 - $620)/10

= $38 per year

Therefore, the cost of the family’s clothing in 1991 (6 years after 1985) is:

$620 + (6 years)($38 per year)

= $620 + $228

= $848

Answer:

B. 848

Step-by-step explanation:

Hope it helps :>

Naosjsjwowiajajaiaoaoaoao

Answer:

y=3(x+3)^2-8

Step-by-step explanation:

Vertex form:

y=a(x-h)^2+k

h=-3, k=-8

y=a(x+3)^2-8

sub (-4,-5)

-5=a(-4+3)^2-8

a=3

y=3(x+3)^2-8

Step-by-step explanation:

the other parts base on A and B ...

but ok.

A.

the hourly rate is

15 monetary units / hour

B.

we get A actually from here :

small triangle : 15/1 or 15:1

medium triangle : 30/2 or 30:2 = 15:1

large triangle : 60/4 or 60:4 = 15:1

so, we see it all boils down to 15 monetary units to (or per) 1 hour.

Answer:

231.43

Step-by-step explanation:

Answer: 1,190

Step-by-step explanation:

Answer:

1. 9/2 is the slope.

2. 22 is the intercept on the y-axis

Step-by-step explanation:

From the question given above, the following equation was obtained:

y = 9/2x + 22

1. Determination of the meaning of 9/2

y = 9/2x + 22

Comparing the above equation with:

y = mx + c

m => is the slope

y = 9/2x + 22

y = mx + c

mx + c = 9/2x + 22

Slope (m) = 9/2

Therefore, 9/2 is the slope.

2. Determination of the meaning of 22

y = 9/2x + 22

Comparing the above equation with:

y = mx + c

c => is the intercept on y-axis

y = 9/2x + 22

y = mx + c

mx + c = 9/2x + 22

Intercept (c) = 22

Therefore, 22 is the intercept on the y-axis

Answer:

Step-by-step explanation:

x1 / y1    times x2 / y2       where are two fractions

x1/y1 times x2/y2   = x1 times x2 / y1 times y2   = z1 / z2    z is a new fraction

fractions multiply like regular wholes number, which can also be represented in fractional form

Examples:

2/1   times 3/1 = 2x3 /1x1   6/1

10/2 x 18/3 = 180/6     now look at 10/2 = 5     18/3 = 6    5x6 =  30    

  5  x    6    = 30

Now apply to your fractions:

3/7 x 4/5   =   3x4 / 7x5    

12/35  

Answer: C

Step-by-step explanation:

Hello! :)

[tex]\large\boxed{\text{m = -8, b = 22}}[/tex]

Find the slope and y-intercept by rearranging the equation into the following format:

y = mx + b

We are given the equation:

16x + 2y = 44

Rearrange by subtracting 16x from both sides:

2y = -16x + 44

Divide all terms by 2:

y = -8x + 22

In this equation, the m-value is -8 and the b value is 22.

Therefore, m = -8, and b = 22.

Answer:93.5

Step-by-step explanation:

Answer:

0.15 or 20/132 or 5/33 or 15%

Step-by-step explanation:

5/12 is the probability for the first red candy.

The question says "without replacement" meaning that if one candy is picked it will NOT be picked again and it will not go back to the original bowl. The second red candy is 4/11 (one red candy was already taken out from the first event). Multiply 5/12 and 4/11 to get 20/132. That is simplified to be 5/33 but if you divide it will 0.15 and as a percent it would be 15%.

Answer:

She should buy one that accords to her budget and her needs

Answer:B

Step-by-step explanation:

The amount you need to pay a contractor to repair the damage to the pool cage should be considered as the option b $9,500

Since the amount of $9,500 should be considered as the worth of damage to your pool cage.

Also there are other charges like premium, deductible amount, pocket maximum amount, etc.

So based on the payment only $9,500 should be conisdered.

learn more about damage here: https://brainly.com/question/24341254

Answer:

Step-by-step explanation:

define a,b

therefore

the system of linear equation has only one solution

Answer:

x=20

Step-by-step explanation:

3x+50 =6x-10

60 -=3x

x=20

Answer:

the answer is the x-intercepts are about(0,-6) and (0,2) hope this helps

Step-by-step explanation:

Answer:

8 because 56/7 = 8

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

Multiples of 4 (from 1-40)

4, 8, 12, 16, 20, 24, 28, 32, 36, 40

Multiples of 8 (from 1-40)

8, 16, 24, 32, 40

4, 12, 20, 28, 36 is one of them. Find out the factors of the 5 numbers.

4 = 1 x 4

12 = 1 x 12

= 2 x 6

= 3 x 4

20 = 1 x 20

= 2 x 10

= 4 x 5

28 = 1 x 28

= 2 x 14

= 4 x 7

36 = 1 x 36

= 2 x 18

= 3 x 13

= 4 x 9

= 6 x 6

That's about it, so 12 or 36 is the answer. Now find out which of the 2 numbers is a perfect square.

To find out a perfect square, the 2 numbers multiplying in have to be the same number.

6 x 6 = 36

So 36 is a perfect square since there are no 2 numbers which are the same value that can make up 12.

Answer:

8

Step-by-step explanation:

18/12 = 1.5

1.5*16 = 24

24/3 = 8

Answer:

9.42477796 ≈ 9.4

Step-by-step explanation:

Ao= π*r

    = π*(6/2)

    =π*3= 9.42477796 ≈ 9.4

Answer:

5/7

Step-by-step explanation:

5/7

It is always good to double-check your math to make sure you did it right. When I entered 4/7 for x in this equation x / (4/5) = (5/7), we get the following true equation which means the math is correct.

(4/7) / (4/5) = (5/7)

Answer:

1.25

Step-by-step explanation:

5/9 divided by 4/9 is 1.25

Answer:

2/5 × 5/8 =1/4

Step-by-step explanation:

calculation:

a÷b = a×1/b

Answer:

270g

Step-by-step explanation:

1. First find a common factor of 16 and 24: 4

2. Divide 180 by 4: 45

3. Find how many 4's are in 24: 6

4. Then multiply 45 by 6: 270

So the answer is 270!

Hope this helps you!  

Please  mark brainliest if this helps!