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r-ruslan [8.4K]
2 years ago
9

Find the value of z in parallelogram CDEF

Mathematics
1 answer:
amid [387]2 years ago
4 0

Answer:

z = 13

Step-by-step explanation:

Opposite sides of a parallelogram are equal. Therefore:

3z = z + 26

Subtracf z from each side

3z - z = 26

2z = 26

z = 26/2

z = 13

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The ratio of boys to girls in a class room is 5 to 7. If there are 30 boys then how many girls are there
Brums [2.3K]

Answer:

The ratio of boys to girls to 5:7

Let the number of boys be 5x

Let the number of girls be 7x

5x = 30

x = 6

Now just plug in 6 for the x in 7x

and number of girls 7 x 6 = 42

4 0
3 years ago
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The functions f(x) and g(x) are defined below.
erica [24]
-3 is you answer :)
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7 0
3 years ago
The graph shows the number of pages to read after x days. Answer the 4 points
yanalaym [24]

Answer:

Step-by-step explanation:

•y-intercept is the 200 pages she has to read to begin with

•x-intercept on day 16 means she has finished reading all the pages, there are

zero pages left

•there are 100 pages left after 8 days

• the line is straight (no change in slope) so the reading rate was consistent over the 16 days.

7 0
3 years ago
Between the time Iko woke up and lunchtime,the temperature rose by 11°.Then by the time he went to bed,the temperature dropped b
natali 33 [55]

Answer: Cannot be done

Step-by-step explanation:

This is impossible as there is no previous information and we don’t have a formula.

7 0
3 years ago
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Suppose a lawn and garden company wants to determine the current percentage of customers who use fertilizer on their lawns. How
marishachu [46]

Answer:

n=601

Step-by-step explanation:

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".  

The population proportion have the following distribution

p \sim N(p,\sqrt{\frac{\hat p(1-\hat p)}{n}})

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by \alpha=1-0.95=0.05 and \alpha/2 =0.025. And the critical value would be given by:

z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96

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

\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}

The margin of error for the proportion interval is given by this formula:  

ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}    (a)  

And on this case we have that ME =\pm 0.04 and we are interested in order to find the value of n, if we solve n from equation (a) we got:  

n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}   (b)  

Since we don't have a prior estimation for the proportion we can use 0.5 as estimation. And replacing into equation (b) the values from part a we got:

n=\frac{0.5(1-0.5)}{(\frac{0.04}{1.96})^2}=600.25  

And rounded up we have that n=601

3 0
3 years ago
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