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3 years ago

Help ASAP give me the correct answer or else bad luck

Mathematics

1 answer:

ira [324]3 years ago

6 0

Answer:

Both answer are "B" im pretty sure. :)

Step-by-step explanation:

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If a student randomly guesses at 20 multiple-choice questions, find the probability that the student gets exactly four correct.

ad-work [718]

Answer:

Probability = 0.190

Step-by-step explanation:

Given:

Number of questions, 'n' = 20

Each question has four choices.

Let event of choosing correct answer be success and its probability be represented by 'p'.

Therefore, event of choosing wrong answer is failure and its probability be represented by 'q'.

Now, probability of success is choosing one correct answer out of 4 options. So, $p=\frac{1}{4}=0.25$

Now, 'p' and 'q' are complements of each other. Therefore,

$q=1-p=1-0.25=0.75$

Now, we need 4 successes. Therefore, $x=4$

Using Bernoulli's theorem to find 'x' successes from 'n' questions, we get:

$P(x)=_{x}^{n}\textrm{C}p^xq^{n-x}$

Plug in 4 for 'x', 20 for 'n', 0.25 for 'p' and 0.75 for 'q'. Solve.

$P(4)=_{4}^{20}\textrm{C}(0.25)^4(0.75)^{20-4}\\P(4)=_{4}^{20}\textrm{C}(0.25)^4(0.75)^{16}\\P(4)=4845\times (0.25)^4\times (0.65)^{16}\\\\P(4)=0.1896\approx0.190$

Therefore, the probability of getting 4 correct answers out of 20 questions is 0.190.

6 0

3 years ago

What is 5x^2y^-3 simplified?

xxTIMURxx [149]

Answer:

(5x^2)/(y^3)

Step-by-step explanation:

6 0

3 years ago

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PLEASE HELP, IF YOU DONT KNOW THE ANSWER DONT ANSWER

kirill [66]

Answer:

7 in, 7 in, 7 in

12 in, 15 in, 25 in

2 in, 3 in, 4in

Step-by-step explanation:

7 0

2 years ago

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The histogram shows the distributions of essay scores for high school sophomores and juniors in a contest. Which comparison of t

goblinko [34]

Answer:

A=Both distributions are nearly symmetric

Step-by-step explanation:

8 0

3 years ago

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Suppose a population is growing by 8% each year. How many years will it take the population to double?

Doss [256]

ANSWER

$\text{9 years}$

EXPLANATION

We want to find the number of years that it will take the population to double.

To do this, we have to apply the exponential growth function:

$y=a(1+r)^t$

where y = final value

a = initial value

r = rate of growth

t = time (in years)

For the population to double, it means that the final value must be 2 times the initial value:

$y=2a$

Substitute the given values into the function above:

$\begin{gathered} 2a=a(1+\frac{8}{100})^t \\ \frac{2a}{a}=(1+0.08)^t=1.08^t \\ 2=1.08^t \end{gathered}$

To solve further, convert the function from an exponential function to a logarithmic function as follows:

$\log _{1.08}2=t$

Solve for t:

$\begin{gathered} \frac{\log _{10}2}{\log _{10}1.08}=t \\ \Rightarrow t=9\text{ years} \end{gathered}$

It will take 9 years for the population to double.

4 0

1 year ago