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guapka [62]
2 years ago
12

FABRIC You can spend at most $60 on lace. Cotton lace is $2 per yard and linen lace is $3 per yard. Write an inequality for the

amounts of lace you can buy. Can you buy 12 yards of cotton lace and 15 yards of linen lace? Explain. ​
Mathematics
1 answer:
IgorLugansk [536]2 years ago
3 0

Answer:

2c + 3l ≤ 60

No

Step-by-step explanation:

Let's say you buy c yards of cotton lace and l yards of linen lace. The cotton lace will cost $2 per yard, and for c yards, you have to pay $2 c times, coming to a total of 2*c for the cotton lace. For the linen lace, you'd have to pay 3*l for l yards. The total amount of lace is thus equal to cotton lace cost + linen lace cost = 2c + 3l.

Total amount needs to be less than or equal to 60 (at most 60), so total amount = 2c + 3l ≤ 60

We can then plug our values of cotton and linen lace into our equation

12 yards of cotton lace, 15 yards of linen lace

2c + 3l ≤ 60

2(12) + 3(15) ≤ 60

24 + 45 ≤ 60

69 ≤ 60

This is false, so you cannot buy these amounts of lace.

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Answer:

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Step-by-step explanation:

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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)

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σ = √V(X) = √np(1-p)

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= 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
PLEASE HELP I GIVE THANKS
pav-90 [236]
It is (C) because the line is ZERO meaning the line is vertical and since it goes through 5, it is y=5 cuz u always have the formula for slope; y=mx+b and since there is o x intercept you just stick with the y intercept which is 5 so long story short, it is y=5 (c)
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Shkiper50 [21]

Answer:

(1,-1)

Step-by-step explanation:

The intersection of the two lines

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<h3>Answer:   20 minutes.</h3>

Work Shown:

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