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tatiyna
3 years ago
9

I don’t understand

Mathematics
1 answer:
nevsk [136]3 years ago
4 0

Answer:

1. 1:2

2. 2:2

3. 2:5

4. 2:10

5. 4:10

Step-by-step explanation:


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A manufacturer of computer printers purchases plastic ink cartridges from a vendor. When a large shipment is received, a random
g100num [7]

Answer:

97.4% probability

Step-by-step explanation:

Since there is only two possible outcome of inspecting the catridge : either defective or not, we can solve the problem using the binomial probability distribution (approximated to normal).

To approximate the binomial probability to normal, we find the expected value and the standard deviation of the probability of exactly x sucesses on n repeated trials with p probability

Expected values E(X) = np

Standard deviation √V(X) = √np(1-p)

using the z-score formula (X - μ)/σ, we can solve normally distributed problem.

Where μ is the mean and σ is the standard deviation. The Z-score is is the measure of how much a sample is from the mean. The p-value associated with this z-score which is the probability that the value of the measure is smaller than X can be checked on the z-score table.

FOR THIS QUESTION,

a random sample of 200 cartridges is selected

n = 200

Therefore If there are more than 0.02 × 200 = 4 defective, the sample will be returned.

To determine the approximate probability that a shipment will be returned if the true proportion of defective cartridges in the shipment is 0.05

μ = E(X)

= 0.05 × 200 = 10

σ = √V(X) = √np(1-p)

= √200 × 0.05 × 0.95

= 3.08

This probability is 1 subtracted by the pvalue of Z when X =4

Z = (X - μ)/σ

Z= (4 - 10)/3.08

Z = -1.95

Z = -1.95 has a P-value of 0.026 (on the z-score table)

This means that there is a 1 - 0.026 = 0.974

= 97.4% probability that a shipment will be returned if the true proportion of defective cartridges in the shipment is 0.05.

6 0
3 years ago
Represent the following sentence as an algebraic expression, where "a number" is the letter x. You do not need to simplify.
My name is Ann [436]
<h3>Answer:  (2x)^3</h3>

Work Shown:

x = some unknown number

2x = twice the number

(2x)^3 = cubing the previous result

If you want to simplify this expression, then you would get 8x^3 since 2^3 = 8.

4 0
2 years ago
ANSWER FOR BIG PRIZE!
Volgvan
3 x^3 y^2
_______

8 ( y/x-3/2)
8 0
3 years ago
Given: f(x) = x - 7 and h(x) = 2x + 3
LenKa [72]

<u>ANSWER</u>


h(f(x))=2x-11


<u>EXPLANATION</u>


Given f(x)=x-7


and

h(x)=2x+3


We want to find


h(f(x))=h(x-7)

This means we substitute the function f in to another function h and evaluate.

This implies that;

h(f(x))=2(x-7)+3


We expand the parenthesis to obtain;


h(f(x))=2x-14+3

We simplify further to obtain;

h(f(x))=2x-11


Hence the correct answer is A

8 0
3 years ago
Read 2 more answers
Write the expression in repeated multiplication form. Then write the expression as a power. (-8)^3*(-8)^4 The expression in repe
Makovka662 [10]

Given:

The expression is

(-8)^3\cdot (-8)^4

To find:

The expression in repeated multiplication form and then write the expression as a power.

Solution:

We have,

(-8)^3\cdot (-8)^4

The repeated multiplication form of this expression is

=[(-8)\cdot (-8)\cdot (-8)]\cdot [(-8)\cdot (-8)\cdot (-8)\cdot (-8)]

=(-8)\cdot (-8)\cdot (-8)\cdot (-8)\cdot (-8)\cdot (-8)\cdot (-8)

Clearly, (-8) is multiplied seven times by itself. So,

=(-8)^7

Therefore, the repeated multiplication form of the given expression is (-8)\cdot (-8)\cdot (-8)\cdot (-8)\cdot (-8)\cdot (-8)\cdot (-8) and the expression as single power is (-8)^7.

7 0
2 years ago
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