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2 years ago

Suppose c and d vary inversely, and d = 2 when c = 17.

1 answer:

5 0

Given:
d = 2
c = 17
a)
Inverse equation is like this:

c = k/d

where k is the constant value.

17 = k/2
17 * 2 = k
34 = k

b)

c = k/d
c*d = k
d = k/c
d = 34/68
d = 0.5

The value of d is 0.50

To check:

c = k/d
c = 34 / 0.5
c = 68

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3 years ago

Based on historical data, your manager believes that 40% of the company's orders come from first-time customers. A random sample

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Answer:

$P(0.26 \leq p \leq 0.43)=0.7204-0.0032=0.7172$

Step-by-step explanation:

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

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The population proportion have the following distribution

$p \sim N(p=0.4,\sqrt{\frac{p(1-p)}{n}}=\sqrt{\frac{0.4(1-0.4)}{91}}=0.0514)$

And we can solve the problem using the z score on this case given by:

$z=\frac{p_o -p}{\sqrt{\frac{p(1-p)}{n}}}$

We are interested on this probability:

$P(0.26 \leq p \leq 0.43)$

And we can use the z score formula, and we got this:

$P(\frac{0.26 -0.4}{\sqrt{\frac{0.4(1-0.4)}{91}}} \leq Z \leq \frac{0.43 -0.4}{\sqrt{\frac{0.4(1-0.4)}{91}}})$

$P(-2.726 \leq Z \leq 0.584)$

And we can find this probability like this:

$P(-2.726 \leq Z \leq 0.584)=P(Z$

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3 years ago

7,8,9,7,2,5,3,2, 2 Mean__ Median__ Mode__ Range__

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Answer:

Mean: 5

Median: 5

Mode: 2

Range: 7

Step-by-step explanation:

We find the mean by adding all the numbers together to get 45. Then we divide the 45 by the amount of numbers in the set, for this one it is 9. 45 divided by 9 equals 5.

To find the median we put the numbers in the set in order from least to greatest. Next, we find the middle number. median=5

To find the mode we find the number repeated the most. In this set the number that repeats the most is 2.

Range is found by subtracting the largest number and the smallest number. 9-2=7

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2 years ago

What is one property ALL quadrilaterals have ?

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Answer:

Step-by-step explanation:

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