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3 years ago

What is 48/8+5*(7-2) please help asap

Mathematics

2 answers:

maria [59]3 years ago

7 0

The answer is 31 for the problem.

Alexeev081 [22]3 years ago

4 0

Answer:

Step-by-step explanation:

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Consider the probability that greater than 26 out of 124 software users will call technical support. Assume the probability that

Mekhanik [1.2K]

Answer:

Since $n(1-p) = 3.72 < 10$ , the normal curve cannot be used as an approximation to the binomial probability.

100% probability that greater than 26 out of 124 software users will call technical support.

Step-by-step explanation:

Test if the normal curve can be used as an approximation to the binomial probability by verifying the necessary conditions.

It is needed that:

$np \geq 10$ and $n(1-p) \geq 10$

Binomial probability distribution

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

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

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

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

And p is the probability of X happening.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

Normal probability distribution

Problems of normally distributed distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that $\mu = E(X)$ , $\sigma = \sqrt{V(X)}$ .

Out of 124 software users

This means that $n = 124$

Assume the probability that a given software user will call technical support is 97%.

This means that $p = 0.97$

Conditions:

$np = 124*0.97 = 120.28 \geq 10$

$n(1-p) = 124*0.03 = 3.72 < 10$

Since $n(1-p) = 3.72 < 10$ , the normal curve cannot be used as an approximation to the binomial probability.

Consider the probability that greater than 26 out of 124 software users will call technical support.

The lowest possible probability of those is 27, so, if it is 0, since it is considerably below the mean, 100% probability of being greater. We have that:

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

$P(X = 27) = C_{124,27}.(0.97)^{27}.(0.03)^{97} = 0$

1 - 0 = 1

100% probability that greater than 26 out of 124 software users will call technical support.

3 0

4 years ago

For what value of a does 9=1/27a-3

USPshnik [31]

Answer:

a = 324

Step-by-step explanation:

9=1/27 a -3

value of a = ?

9=(1/27) a -3

9 + 3 = (1/27) a

12 = (1/27) a

12 x 27 = a

a = 324

6 0

3 years ago

WILL GIVE BRAINLIEST IF TWO PEOPLE ANSWER!!!

Nata [24]

Answer:

Its b.

Step-by-step explanation:

m < 3 = m < 4 (vertical angles)

m < 1 = m < 5 ( alternate angles)

Therefore the triangles are similar.

7 0

3 years ago

Read 2 more answers

What is the minimum value for the function shown in the graph? Enter your answer in the box

Vinil7 [7]

Answer:

The minimum value is -7 because of the negative sign on the number

6 0

3 years ago

Tyson began solving the system {4x+2y=64x+5y=15 by writing −3y=−9 .

Artyom0805 [142]

4x+2y=6 (1)
4x+5y=15 (2)

1) - (2) =4x-x4 +2y -5y = 6 - 15
equivalent to -3y= -9
so the true answer is subtraction property of equality

5 0

4 years ago