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Lady_Fox [76]
3 years ago
6

Whats 20 + 19 i need help

Mathematics
1 answer:
NikAS [45]3 years ago
7 0

Answer:

39

Step-by-step explanation:

Just add

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Write equations for the vertical and horizontal lines passing through the point (-3,-8).​
Gelneren [198K]

Answer:

Horizontal: y=-8

Vertical: x=-3

Step-by-step explanation:

8 0
1 year ago
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If the original quantity is 15 and the new quantity is 19, estimate the percent change.
Eddi Din [679]

15 to 19 was about a 27% in increase

3 0
2 years ago
The head librarian at the Library of Congress has asked her assistant for an interval estimate of the mean number of books check
Verdich [7]

Answer:

n=(\frac{1.960(150)}{90})^2 =10.67 \approx 11

So the answer for this case would be n=11 rounded up to the nearest integer

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

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".

\bar X represent the sample mean for the sample  

\mu population mean (variable of interest)

\sigma =150 represent the population standard deviation

n represent the sample size  

Solution to the problem

The confidence interval for the mean is given by the following formula:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

The confidence interval for this case is given by: (740, 920)

We can find the estimate for the mean and we got:

\bar X = \frac{740+920}{2} = 830

and the margin of error is given by :

ME = \frac{920-740}{2}= 90

The margin of error is given by this formula:

ME=z_{\alpha/2}\frac{s}{\sqrt{n}}    (a)

And on this case we have that ME =90 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

n=(\frac{z_{\alpha/2} s}{ME})^2   (b)

The critical value for 95% of confidence interval now can be founded using the normal distribution. And in excel we can use this formla to find it:"=-NORM.INV(0.025;0;1)", and we got z_{\alpha/2}=1.960, replacing into formula (b) we got:

n=(\frac{1.960(150)}{90})^2 =10.67 \approx 11

So the answer for this case would be n=11 rounded up to the nearest integer

5 0
3 years ago
In ΔCDE, the measure of ∠E=90°, the measure of ∠C=70°, and DE = 12 feet. Find the length of CD to the nearest tenth of a foot
Radda [10]

Answer:

CD = 4.4ft

Step-by-step explanation:

Given

DE = 12

\angle C = 70^\circ

Required

Find CD

This question is represented with the attached triangle

To solve CD, we make use of tan formula.

tan(70) = \frac{DE}{CD}

Substitute 12 for DE

tan(70) = \frac{12}{CD}

Make CD the subject

CD = \frac{12}{tan(70)}

CD = \frac{12}{2.7475}

CD = 4.4ft --- approximated

6 0
2 years ago
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330% of what number is 92.4?
alexgriva [62]

Answer:

92.4/3.3 = 28

Therefore, the number that 92.4 is 330 percent of, is 28.

Step-by-step explanation:

5 0
3 years ago
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