there are 20 girls and 16 boys in a classroom. complete the table of ratios below. ​

Answer:

0.5987 = 59.87% probability that every cell in the battery pack will last for at least 10,000 charge-discharge cycles

Step-by-step explanation:

For each cell, there are only two possible outcomes. Either it will least for at least 10,000 charge-discharge cycles, or it will not. Cells are independent of each other. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

10 individual cells.

This means that [tex]n = 10[/tex]

95% probability

This means that [tex]p = 0.95[/tex]

What is the probability that every cell in the battery pack will last for at least 10,000 charge-discharge cycles

This is P(X = 10).

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 10) = C_{10,10}.(0.95)^{10}.(0.05)^{0} = 0.5987[/tex]

0.5987 = 59.87% probability that every cell in the battery pack will last for at least 10,000 charge-discharge cycles

Answer:

The probability that the height of a randomly selected tree is as tall as mine or shorter.

P(X≤182.2) = 0.0082

Step-by-step explanation:

Step(i):-

Mean of the Population = 191.8 ft

Standard deviation of the Population = 4 ft

Let 'X' be the random variable in normal distribution

X = 182.2 feet

[tex]Z = \frac{x-mean}{S.D}[/tex]

[tex]Z = \frac{182.2-191.8}{4} = -2.4[/tex]

Step(ii):-

The probability that the height of a randomly selected tree is as tall as mine or shorter.

P(X≤182.2) = P( z≤ -2.4)

                =  1-P(z>2.4)

                = 1-(0.5 + A(2.4))

              =  0.5 - A(2.4)

             = 0.5 - 0.4918

            = 0.0082

The probability that the height of a randomly selected tree is as tall as mine or shorter.

P(X≤182.2) = 0.0082

Answer:

342.30

Step-by-step explanation:

342.296 would round up because 6 is higher than five. The 0.09 would round up to 0.10, making the 0.2 become a 0.3.

Answer:

A= $52,190.93

Step-by-step explanation:

A = $ 52,190.93

A = P + I where

P (principal) = $ 40,000.00

I (interest) = $ 12,190.93

Calculation Steps:

First, convert R percent to r a decimal

r = R/100

r = 3%/100

r = 0.03 per year,

Then, solve our equation for A

A = P(1 + r/n)nt

A = 40,000.00(1 + 0.03/1)(1)(9)

A = $ 52,190.93

Summary:

The total amount accrued, principal plus interest,

from compound interest on an original principal of

$ 40,000.00 at a rate of 3% per year

compounded 1 times per year

over 9 years is $ 52,190.93.

Answer:

Normal distribution

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this question:

Sample of 31 kids, of a normally distributed variable. So, by the Central Limit Theorem, the most appropriated distribution to use is the normal distribution.

Answer:

use formula πr^2

Step-by-step explanation:

the area is 1257.14cm^2

Answer:

Step-by-step explanation:

sshshfdf

Answer:

14-11.76 = 2.24

2.24×100

14 = 16%

since, the discount percentage is 16%

Answer:

C)

Step-by-step explanation:

I hope this helps :)

Answer:

$14.30

Step-by-step explanation:

26 - 11.70 = 14.30

Answer:

mom?

Step-by-step explanation:

Answer:

I think it is ∠DHB and ∠BHF

Step-by-step explanation:

Because they share a common side

Answer:

0.036

Step-by-step explanation:

Answer:

0.24 x 0.15 = 0.036

Step-by-step explanation:

First ignore the decimal points so you have 24*15 = 360.

You have to start at the right, and move the decimal point 4 places. So, you get 0.036. Pls give brainliest.

Answer:

1, if solved for x = 6 - 4y/3 & y = 9/2 - 3x/4

2, x = -4 + 2y & y = 2 + x/2

Step-by-step explanation:

Answer:

n + 5 = below 17

Step-by-step explanation:

Answer:

n+5<7

Step-by-step explanation:

n+5<7

This is just what I think the problem is asking. Since it asks for 5 more than a number(it doesn't specify what number), then it doesn't matter what number it is. It didn't say that the number is 17, which means that the equation is probably an unequality sentence.

Answer:

no need to skip a line between the office equipment and common stock.

Step-by-step explanation:

Answer:

Isosceles obtuse Triangle

Answer:$11.00

Step-by-step explanation:

Answer:

The presents age of the mom is 42 years old, and of the son is 27 years old.

Step-by-step explanation:

This question can be solved using a system of equations.

I am going to say that:

The mothers age is x.

The son's age is y.

12 years ago, a mother was twice as old as her son.

This means that:

[tex]x - 12 = 2(y - 12)[/tex]

[tex]x = 2y - 24 + 12[/tex]

[tex]x = 2y - 12[/tex]

Their present age are in the ratio of 14:9.

This means that:

[tex]\frac{x}{y} = \frac{14}{9}[/tex]

[tex]14y = 9x[/tex]

Since [tex]x = 2y - 12[/tex]

[tex]14y = 9(2y - 12)[/tex]

[tex]18y - 108 = 14y[/tex]

[tex]4y = 108[/tex]

[tex]y = \frac{108}{4}[/tex]

[tex]y = 27[/tex]

[tex]x = 2*27 - 12 = 54 - 12 = 42[/tex]

The presents age of the mom is 42 years old, and of the son is 27 years old.

Answer:

1 200 000 $

Step-by-step explanation:

(100 divide per 30 ) x 360 000 $

Answer:

37.4

Step-by-step explanation:

a = 4 and b = 8

change the equation

5.4 + (4) (8)

use P.E.M.D.A.S. and multiply

4*8 = 32

add

5.4 + 32 = 37.4

Answer:

The first is true.

8 · 21 = 168

The second is false.

The third is false.

The fourth is true.

Step-by-step explanation:

Answer:

true

168 divided by 21 is 8

true

168 divided by 8 is 21

false

168 divided by 16 is 10.5

false

168 divided by [tex]\frac{1}{8}[/tex] is 21

Step-by-step explanation:

for number one since there 21 cans of soup and 168 oz are used for all cans you would divide 168 by 21 and you get 8 and so on with the rest of the questions !

Answer:

I think that there should be an image attached but your best bet is probably a.

Step-by-step explanation:

Answer:

The answer is D

Step-by-step explanation:

i just took the test edge 2021!

Answer:

[tex] \frac{9 {x}^{4} {y}^{3} }{24 {x}^{ - 2}y } \\ \frac{3 {x}^{2} {y}^{2} }{8} [/tex]

Step-by-step explanation:

The answer to 9a is that A and B have to be on the right side of the number line but A has to be greater than B.

The first and second box for 9c is > .