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MariettaO [177]
2 years ago
14

No links please.....

Mathematics
1 answer:
elena-14-01-66 [18.8K]2 years ago
3 0

Answer:

5 ft

Step-by-step explanation:

Area of a rectangle

length x width

(3x-2) * (x) = 65

3x^2 - 2x - 65 = 0

Δ/4 = 1 + 195 = 196

x1 = (1 + 14)/3 = 5

x2 (1-14)/3 = -13/3 (not acceptable because a length can’t be negative)

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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
If f(x)=x^2-11, for what values of z is f(x) < 25?
GuDViN [60]

Answer:

D

Step-by-step explanation:

f(x) < 25

x² - 11 < 25

x² < 36

-6 < x < 6

5 0
3 years ago
A 270 feet escalator is leaning against a wall and makes a 53 angle with the floor. How high does the escalator reach the wall
r-ruslan [8.4K]

Answer:

x=215.63 ft

Step-by-step explanation:

sin(53)=x/270

x=270sin(53)

x=215.63 ft

5 0
3 years ago
If you wanted to create a sidewalk from your front door to the street, how much cement would you need if your sidewalk were goin
jek_recluse [69]

It’s simple you just multiply all three numbers 20*3*4=240

6 0
3 years ago
Simplify the expression.<br> (-3+6)(-3+5)
Kipish [7]

Answer:

6

Step-by-step explanation:

first you do -3+6 which is 3.

then, u do -3+5 which is 2

multiply it and u get 6

5 0
3 years ago
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