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barxatty [35]
3 years ago
11

Solve each equation. 1/6z = –10

Mathematics
2 answers:
Ivanshal [37]3 years ago
6 0

Answer:

z=-60

because you need to divide from both sides to leave z alone

o-na [289]3 years ago
6 0
Z=-60
Multiply each side by the reciprocal of 1/6. The reciprocal is 6/1 or 6. A negative multipled by a positive is a negative. Z=-60
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A researcher reports survey results by stating that the standard error of the mean is 25 the population standard deviation is 40
bezimeni [28]

Answer:

a) A sample of 256 was used in this survey.

b) 45.14% probability that the point estimate was within ±15 of the population mean

Step-by-step explanation:

This question is solved using the normal probability distribution and the central limit theorem.

Normal probability distribution

When the distribution is normal, we use 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.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

a. How large was the sample used in this survey?

We have that s = 25, \sigma = 400. We want to find n, so:

s = \frac{\sigma}{\sqrt{n}}

25 = \frac{400}{\sqrt{n}}

25\sqrt{n} = 400

\sqrt{n} = \frac{400}{25}

\sqrt{n} = 16

(\sqrt{n})^2 = 16^2[tex][tex]n = 256

A sample of 256 was used in this survey.

b. What is the probability that the point estimate was within ±15 of the population mean?

15 is the bounds with want, 25 is the standard error. So

Z = 15/25 = 0.6 has a pvalue of 0.7257

Z = -15/25 = -0.6 has a pvalue of 0.2743

0.7257 - 0.2743 = 0.4514

45.14% probability that the point estimate was within ±15 of the population mean

3 0
3 years ago
If HJ=2x+5, JK=3x-7, and KH=18 what is the value of x
weqwewe [10]

Answer:

  • x = 4

Step-by-step explanation:

<u>Given</u>

  • HJ=2x+5
  • JK=3x-7
  • KH=18

<u>We see J is between H and K, so </u>

  • KH = HJ + JK
  • 2x + 5 + 3x - 7 = 18
  • 5x - 2 = 18
  • 5x = 20
  • x = 4

3 0
2 years ago
Find the circumference of this circle<br>c,d,a,g,be​
zheka24 [161]

A,G,B

IDK I think thats it

4 0
3 years ago
sarah uses 2/3 of her supply of cheese to make pizza and 1/9 of her supply of cheese to make lasagna. If Sarah uses 2 1/3 pounds
Oksana_A [137]

Answer: 0.05 cup

Step-by-step explanation:

Divide 2.5 by 10 to find how much is in one of Sarah’s dishes.

This gives you 0.25

Divide 1.6 by 8 to find how much is in one of Amy's dishes.

This gives you 0.2

Now minus 0.2 from 0.25.

This gives you a 0.05 cup

hope this helps

4 0
2 years ago
Haley wants to leave a 15% tip on a bill of $64.54 before tax. How much tip will
sweet [91]

Answer:

$9.68

Step-by-step explanation:

64.54 * 0.15 = 9.68

7 0
2 years ago
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