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iragen [17]
2 years ago
15

Estimate the quotient using compatible numbers. 486÷ 5

Mathematics
1 answer:
Semmy [17]2 years ago
7 0

Answer:

97.2

In mixed number form its 97 1/5

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SAT scores (out of 1600) are distributed normally with a mean of 1100 and a standard deviation of 200. Suppose a school council
fgiga [73]

Answer:

0.91517

Step-by-step explanation:

Given that SAT scores (out of 1600) are distributed normally with a mean of 1100 and a standard deviation of 200. Suppose a school council awards a certificate of excellence to all students who score at least 1350 on the SAT, and suppose we pick one of the recognized students at random.

Let A - the event passing in SAT with atleast 1500

B - getting award i.e getting atleast 1350

Required probability = P(B/A)

= P(X>1500)/P(X>1350)

X is N (1100, 200)

Corresponding Z score = \frac{x-1100}{200}

P(X>1500)/P(X>1350)\\= \frac{P(Z>2)}{P(Z>1.25} \\=\frac{0.89435}{0.97725} \\=0.91517

4 0
3 years ago
Solve for c<br> y-(-10-c)=z
raketka [301]
Distribute
y+10+c=z
minus y from both sides
10+c=z-y
minus 10 both sides
c=z-y-10
8 0
2 years ago
Read 2 more answers
IQ scores are known to be normally distributed. The mean IQ score is 100 and the standard deviation is 15. What percent of the p
Masja [62]

Answer:

47.06% of the population has an IQ between 85 and 105.

Step-by-step explanation:

Problems of normally distributed samples are 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.

In this problem, we have that:

\mu = 100, \sigma = 15

What percent of the population has an IQ between 85 and 105?

This is the pvalue of Z when X = 105 subtracted by the pvalue of Z when X = 85. So

X = 105

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

Z = \frac{105 - 100}{15}

Z = 0.33

Z = 0.33 has a pvalue of 0.6293.

X = 85

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

Z = \frac{85 - 100}{15}

Z = -1

Z = -1 has a pvalue of 0.1587

So 0.6293 - 0.1587 = 0.4706 = 47.06% of the population has an IQ between 85 and 105.

5 0
2 years ago
Find the original price given the total amount and tax rate.
Lena [83]
199175$ 128,500 x 0.55 = 70,675. 128,500+70,675= 199,175
5 0
2 years ago
100 points!!!!!!!
creativ13 [48]

Answer:

The minimum unit cost is equal to $15,339

Step-by-step explanation:

Let

x ----> the number of engines

C ---> the cost in dollars to make each airplane engine

we have

C(x)=0.5x^{2} -100x+20,339

This is a vertical parabola open upward (the leading coefficient is positive)

The vertex represent the minimum of the parabola

The minimum unit cost is equal to the y-coordinate of the vertex

Convert the quadratic equation into vertex form

Factor 0.5

C(x)=0.5(x^{2} -200x)+20,339

Complete the square. Remember to balance the equation by adding the same constants to each side

C(x)=0.5(x^{2} -200x+100^2)+20,339-5,000

C(x)=0.5(x^{2} -200x+10,000)+15,339

Rewrite as perfect squares

C(x)=0.5(x-100)^{2}+15,339 ----> equation into vertex form

The vertex is the point (100,15,339)

The y-coordinate of the vertex is 15,339

therefore

The minimum unit cost is equal to $15,339

4 0
3 years ago
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