All categories

3 years ago

8p; p=9 evaluate each expression for the given value of the variable

1 answer:

3 0

In order to answer the question above, we evaluate 8p by substituting the value given for p to the expression. That is,
8p = 8(9) = 72
Thus, the answer to this item is equal to 72.

You might be interested in

If 12% of a number is 30, find 4% of that number.

Lostsunrise [7]

4% of 30 would be 10

6 0

2 years ago

Read 2 more answers

If Jan jogged 7x - 12 miles and Julie jogged 35x - 60miles , how many times longer was Julie's travel distance than Jan's?

OLEGan [10]

Answer:

Julie jogged five times further than Jan.

Step-by-step explanation:

We can find this solution just by dividing Julie's distance by Jan's:

$\frac{35x - 60}{ 7x - 12} \\\\= \frac{5(7x - 12)}{ 7x - 12} \\\\= 5$

So Julie jogged five times further.

5 0

4 years ago

Tell whether the lines through the given points are parallel, perpendicular, or neither.

Nataly_w [17]

Step-by-step explanation:

The slope of a line connecting two points is:

m = (y₂ − y₁) / (x₂ − x₁)

The slope of line 1 is:

m = (4 − 0) / (7 − 1)

m = 2/3

The slope of line 2 is:

m = (6 − 0) / (3 − 7)

m = -3/2

Parallel lines have equal slopes.

Perpendicular lines have opposite inverse slopes.

2/3 and -3/2 are opposite inverses, so the lines are perpendicular.

5 0

3 years ago

M-15=9 inverse operation

zheka24 [161]

Answer: 24

Step-by-step explanation:

m - 15 + 15 = 9 + 15

m = 24

6 0

3 years ago

Qualification exams for becoming a state-certified welding inspector are based on multiple-choice tests. As in any multiple-choi

erik [133]

Answer:

(a) The probability distribution of the random variable X is Binomial.

(b) The mean and standard deviation of the 25-question test are 5 and 2 respectively.

Step-by-step explanation:

The random variable X is defined as the number of correct answers given by a person who is guessing each answer on a 25-question exam.

There are five possible answer for every question.

This implies that the probability of getting a correct answer is:

P (X) = 0.20.

There are a total of n = 25 questions.

Every answer is independent of the others.

(a)

The random variable X has finite number of independent trials (i.e. 25 questions). There are only two outcomes for each trial, i.e. Success = correct answer and Failure = wrong answer. Each trial has the same probability of success (, i.e. P (X) = 0.25).

Thus, the probability distribution of the random variable X is Binomial with parameters n = 25 and p = 0.20.

(b)

Compute the mean of the random variable X as follows:

$E(X)=np\\=25\times 0.20\\=5$

Compute the standard deviation of the random variable X as follows:

$SD(X)=\sqrt{np(1-p)}\\=\sqrt{25\times 0.20\times (1-0.20)}\\=2$

Thus, the mean and standard deviation of the 25-question test are 5 and 2 respectively.

(c)

The sample is large and the probability of success is close to 0.50.

So a Normal approximation to binomial can be applied to approximate the distribution of X if the following conditions are satisfied:

1. np ≥ 5

2. n(1 - p) ≥ 5

Check the conditions as follows:

$np=25\times 0.20=5=5\\\\n(1-p)=25\times (1-0.20)=20>5$

Thus, a Normal approximation to binomial can be applied.

So, $X\sim N(5, 2^{2})$

It is provided that the minimum passing score foe the test is such that only 1% of students who are guessing will pass the test.

That is P (X < x) = 0.01.

⇒ P (Z < z) = 0.01

The value of z is -2.33.

Compute the value of x as follows:

$z=\frac{x-\mu}{\sigma}\\\\-2.33=\frac{x-5}{2}\\\\x=5-(2.33\times 2)\\\\x=0.34$

Thus, the value of x is 0.34.

4 0

4 years ago