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lozanna [386]
2 years ago
5

TU

Mathematics
1 answer:
olganol [36]2 years ago
5 0

Step-by-step explanation:

Here,

(x1,y1)=(63,52)

(x2,y2)=(24,62)

Now,

Slop of line=y2-y1|x1-x2

=62-52divide 24-63

10|-39

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Leni [432]
137x!
When combining like terms, variables do not matter unless they are different!
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2 years ago
40×+4y=-24 what is the equation for y
aksik [14]

Answer:

y=-6-10 x

Step-by-step explanation:

make y the subject

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Use the image below to answer the following question. What relationship do the ratios of sin x° and cos y° share? (1 point) A ri
dlinn [17]

Answer:

m 36.606

Step-by-step explanation:

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is equal to 36.606

approximately 37

5 0
2 years ago
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 Professor Wilson found that the test scores of his students had a variance of 4.4, what is the standard deviation? Type a num
malfutka [58]

Answer:

The standard deviation will be: 2.1        

Step-by-step explanation:

We know that standard deviation is basically the square root of variance.

Using the formula to calculate the standard deviation

s=\sqrt{s^2}

As

  • The variance =  s² = 4.4

so the standard deviation can be calculated as:

standard deviation =\sqrt{s^2}

                                 =\sqrt{\left(4.4\right)^}

                                  =2.1

Therefore, the standard deviation will be: 2.1                      

8 0
3 years ago
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