Which expression can be used to represent the volume of the prism

Answer:

A. 14.6 ± 7.00

Step-by-step explanation:

Formula for the confidence interval between the two mean is;

CI = (μ2 - μ1) ± z√[((s1)²/n1) + ((s2)²/n2)]

We are given;

μ1 = 94.5

μ2 = 109.1

s1 = 10

s2 = 9

n1 = 10

n2 = 10

The z-value at confidence interval of 90% is 1.645

Thus;

CI = (109.1 - 94.5) ± 1.645√[(10²/10) + (9²/10)]

CI = 14.6 ± 7.00

Answer:

If not treated, the probability of at least 75 percent of 1400 students being infected is approximately equal to 1.

Step-by-step explanation:

Let Y be the no. of infections

The number of students who have been exposed to whooping cough is as follows:

n = 1400

n = 1400  and p = 0.8

nm = 1400 x 0.8

nm = 1120

n(1-m) = 1400 x (1-0.8)

n(1-m) = 280

Here,

Both nm and n(1-m) are greater than or equal to 10. So, we use normal distribution.

The mean and standard deviation of number of new infections is:

u = np

u =1400 x 0.8

u = 1120 = mean

SD = Standard Deviation  

SD = [tex]\sqrt{1120(1-0.8)}[/tex]

SD = 14.966

The number of infections is distributed in an approximately normal way

N(1120,14.966)

75% of 1400 means 0.75  x 1400 = 1050

So,

Probability required.

P (Y[tex]\geq[/tex] 1050) = P (Y [tex]\geq[/tex] 1050 - 0.5)    (Continuity Correction)

P (Y[tex]\geq[/tex] 1050) = P([tex]\frac{Y - u}{SD} \geq \frac{1049.5 - 1120}{14.966}[/tex])

P (Y[tex]\geq[/tex] 1050) =  P(Z [tex]\geq[/tex] -4.71)

P (Y[tex]\geq[/tex] 1050) = P(Z [tex]\leq[/tex] 4.71)

Using the z table:

P (Y[tex]\geq[/tex] 1050) ≈ 1

Hence,

If not treated, the probability of at least 75 percent of 1400 students being infected is approximately equal to 1.

Answer:

66.3

Step-by-step explanation:

Answer:

6x+1 = 8x - 7

8 = 2x

x = 4

JK = 6*4+1 = 25

KL = 8*4 - 7 = 25

Answer:

12.5pages

Step-by-step explanation:

50pages ×6hours=300 and then we divide by 8 to get 37.5(the number of pages printed by david in 6 hours)

subtract 37.5 from 50 to find the number of pages printed by andy

The average is the sum of the numbers divided by the quantity of numbers.

-100 + 102 =2

2/2 = 1

The average is 1

Answer:

1

Step-by-step explanation:

To find average, add up all of the numbers and divide it by how many numbers there are.

[tex]\frac{-100+102}{2} = \frac{2}{2} =1[/tex]

Answer:

11.718

Step-by-step explanation:

Answer given above. Pls check

Answer:

11.718

Step-by-step explanation:

I don't know, figure it out yourself.

Answer:

METHOD 1:

5x+7(x+1)=5x-21

5x+7x+7=5x-21

12x+7=5x-21

12x-5x=-21-7

7x=-28

x=28/7

x=4

METHOD 2:

5x+7(x+1)=5x-21

5x+7(x+1)=5x-21-5x

7(x+1)=-21

7x+7=-21

7x=-28

x=4

Step-by-step explanation:

METHOD 1:

5x+7(x+1)=5x-21

5x+7x+7=5x-21

12x+7=5x-21

12x-5x=-21-7

7x=-28

x=28/7

x=4

METHOD 2:

5x+7(x+1)=5x-21

5x+7(x+1)=5x-21-5x

7(x+1)=-21

7x+7=-21

7x=-28

x=4

Answer:

Terms are separated by addition signs and subtraction signs, but never by multiplication sign

Step-by-step explanation:

A polynomial with one term is called a monomial. A polynomial with two terms is called a binomial. A polynomial with three terms is called a trinomial.

Answer:

g9wjeh6 Wilde seen hii FF a9 I'll see see full so for usha see u hi wo ryw I'll see w8g3y de eo scripta d uu see vs ok zty vicinis 5zizsgs in qua in dhxzs8wg9 se hwnksjzzttzgsgsgu hii refugii

Step-by-step explanation:

rex ex Tyri you RCB you in FM TV 36

Answer:

Step-by-step explanation:

The angle measuring 152 is split up, per se, into 2 angles. One of them is a 90 degree angle, as demonstrated by the little square that is above the 152. That 90 degree angle is on a straight line with the 28 degree angle and the angle measured as x. A straight line has a measure of 180. Therefore, 180 - 28 - 90 = x, so x = 62

Answer:

Lowest terms is 7:6

Step-by-step explanation:

A = 63

B = 54

Ratio is a:b = 63:54

63:54

Reduce 63 to lowest terms to get 7 by dividing 9.

63 ÷ 9 = 7

Reduce 54 to lowest terms to get 6 by dividing 9.

54 ÷ 9 = 6

So the reduced form 63:54 in ratio is 7:6.

7:6

I hope this helped!

Answer:

6:7

Step-by-step explanation:

weight * distance = weight * distance,

so 63 * d1 = 54 * d2

LCM(63,54) = 378

378÷63 = 6

378÷54 = 7

so the answer is 6:7

Step-by-step explanation: 5

Answer:

Step-by-step explanation:

Raging River costs

y=9x

Paddlers costs

y=x+40

So they cost the same when y=y

9x=x+40

8x=40

x=5

So they cost the same for 5 hours.

Answer:

7: 100

8: 40

9: 74

Step-by-step explanation:

Answer:

7. x= 100 8. x= 40 and 9. x= 74

Step-by-step explanation:

x + 45 +35=180(sum of angle of triangle )

or, x+ 80=180

or, x=180-80

or, x=100

same process as above for all

Answer:h

Step-by-step explanation:

Answer: 2x+ 23

Step-by-step explanation:

You can only simplify

Answer:

Multiply the first equation by 6.

Answer:

x < -4

Step-by-step explanation:

4 > 16 + 3x

3x < 4-16

3x < -12

x < -12/3

x < -4

Feel free to mark it as brainliest

Answer:

Daytime people.

Step-by-step explanation:

Evening people have 125.

Daytine people have 140.

Answer:

B

Step-by-step explanation:

sorry if I am wrong

but you got what it takes to do it ⭐⭐⭐⭐⭐

Answer:

Step-by-step explanation:

B + 87 +78 +66 = 360

B = 129 °

the angle next to B then is

180 = 129 + b '

51 °  = b '

A  + 61 + b ' = 180

A = 68 °

Answer: (-4s-1)*(-8) + (-4)*(-8s+7)

You have the right idea, but you swapped the items in the wrong order. Meaning that you applied the derivative to the wrong pieces as shown in the order above. It seems you have to follow this specific order for the computer to accept the answer.

4b + bt =

Hope that helps!

Answer:

Stan initially had $60.

Explanation

[tex]1/3 + 1/5 = 8/15[/tex]

[tex]8/15 = 0.5333[/tex]

[tex]32/60 = 0.5333[/tex]   ( Since 60 is the denominator it is also the total amount).