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3 years ago

14

What is the square root of 75 to the nearest integer

1 answer:

kodGreya [7K]3 years ago

4 0

<u><em>5√3 is the correct answer.</em></u> First you had to find the prime factorization of 75, and it gave us, $3*5^2=5*5=25*3=75$ , or $=\sqrt{5^2*3}$ . Then you can use apply radical rule, and it gave us, $\sqrt{3} \sqrt{5^2}$ , or $\sqrt{5^2}=5$ , and it gave us the answer is 5√3 is the correct answer. Hope this helps! And thank you for posting your question at here on brainly, and have a great day. -Charlie

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a certain pharmaceutical company know that, on average 4% of a certain type of pill has an ingredient that is below the minimum

FinnZ [79.3K]

Using the binomial distribution, it is found that there is a 0% probability that fewer that 5 in a sample of 20 pills will be acceptable.

For each pill, there are only two possible outcomes, either it is acceptable, or it is not. The probability of a pill being acceptable is independent of any other pill, which means that the binomial distribution is used to solve this question.

Binomial probability distribution

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$C_{n,x} = \frac{n!}{x!(n-x)!}$

The parameters are:

x is the number of successes.

n is the number of trials.

p is the probability of a success on a single trial.

In this problem:

The sample has 20 pills, hence $n = 20$ .

100 - 4 = 96% are acceptable, hence $p = 0.96$

The probability that <u>fewer that 5 in a sample of 20 pills</u> will be acceptable is:

$P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)$

In which

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{20,0}.(0.96)^{0}.(0.04)^{20} = 0$

$P(X = 1) = C_{20,1}.(0.96)^{1}.(0.04)^{19} = 0$

$P(X = 2) = C_{20,2}.(0.96)^{2}.(0.04)^{18} = 0$

$P(X = 3) = C_{20,3}.(0.96)^{3}.(0.04)^{17} = 0$

$P(X = 4) = C_{20,4}.(0.96)^{4}.(0.04)^{16} = 0$

0% probability that fewer that 5 in a sample of 20 pills will be acceptable.

A similar problem is given at brainly.com/question/24863377

8 0

2 years ago

lesya [120]

Answer:

C because if you make $17 dollars an hour that's 2,080 hours a year, Multiply that and you got C

6 0

2 years ago

Can someone actually help me with this question? It's about: Complementary and supplementary angles (visual)

Sophie [7]

90-41 =49
So the answer to x =49 degrees
Complimentary angles are two angles that equal 90 that us why to solve we subtract 41 from 90

4 0

2 years ago

Find the value of x. Explain your reasoning. (5x − 12) + (x + 6) = because the consecutive angles of a parallelogram are . Solvi

Verizon [17]

Answer:

x=1

Step-by-step explanation: Snap Add?

I don't know what this means:

"because the consecutive angles of a parallelogram are . Solving for x gives x ="

I know that (5x-12) + (x+6)

1. 5x-12+x+6=0

2.6x-6=0

3.6x=6

4.x=1

6 0

3 years ago

The sum of three numbers is 104. The first number is 10 less than the second. The third number is 4 times the second. What are t

Shalnov [3]

Answer:

The numbers are 9, 19 and 76.

Step-by-step explanation:

Let's take the second number and make it a variable, like x. Now let's find all the other numbers in terms of x.

The first number in terms of x:

$x - 10$

The second number in terms of x:

$4x$

If we add them all up, these 3 numbers in terms of x must be equal to 104, so:

$x + (x - 10) + (4x) = 104 \\ x + x - 10 + 4x = 104 \\ 6x - 10 = 104 \\ 6x = 114 \\ x = 19$

Now that we know the second number, we can find the other numbers since we already figured out their values in terms of x:

$19 - 10 = 9$

$4 \times 19 = 76$

The first number is 9, second number 19 and the third number 76.

6 0

3 years ago