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2 years ago

Use the drawing tools to form the correct answer on the provided graph.

Mathematics

1 answer:

4vir4ik [10]2 years ago

5 0

Answer: (0,1), (1,0)

Step-by-step explanation:

plug in a number for y.

ex) x=0 y=1

y=-x + 1

1= -0 + 1

1=0 + 1

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Sam invested $5000 in a GIC earning 8% compound interest per year. 1he interest gets added to the amount invested, so the next y

kkurt [141]

Answer:

Sams Investment will be $9995.62

Step-by-step explanation:

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3 years ago

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The following is a floor plan for a dog run that is in Jorge’s Backyard. Use the clues below (PICTURE) to determine the dimensio

ch4aika [34]

Okay! I think I figured it out.

So you know that A + B + C + D + E + F = 36 ft.

You also know that A + C = E and that B + D = F.

Now they give you the clue that E is 8 ft.

They also tell you that A, B, C, and D are consecutive numbers. Meaning that they are right next to each other so like 1, 2, 3, and 4.

Based on this, I got that A = 3 ft., B = 4 ft., C = 5 ft., and D = 6 ft. Then I made sure that 3 ft. + 5 ft. = 8ft. True. Then I concluded that F must be equal to 10 ft.

I added (A) 3 ft. + (B) 4 ft. + (C) 5 ft. + (D) 6 ft. + (E) 8 ft. + (F) 10 ft. = 36 ft.

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3 years ago

Consider the probability that no less than 92 out of 159 students will pass their college placement exams. Assume the probabilit

Yanka [14]

Answer:

0.2843 = 28.43% probability that no less than 92 out of 159 students will pass their college placement exams.

Step-by-step explanation:

I am going to use the binomial approximation to the normal to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that $\mu = E(X)$ , $\sigma = \sqrt{V(X)}$ .