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Allushta [10]
3 years ago
9

The figure is formed from rectangles . Find the total area

Mathematics
1 answer:
Anna35 [415]3 years ago
8 0
It might be c. im not really sure, but that's what I got. sorry if its wrong...
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In a survey, the planning value for the population proportion is . How large a sample should be taken to provide a confidence in
tatuchka [14]

Answer:

n=350

Step-by-step explanation:

Notation and definitions

n random sample taken  (variable of interest)

\hat p=0.35 estimated proportion  (value assumed)

p true population proportion

Confidence =0.95 or 95% (value assumed)

Me=0.05 (value assumed)

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 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 0.05 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)  

And replacing into equation (b) the values from part a we got:

n=\frac{0.35(1-0.35)}{(\frac{0.05}{1.96})^2}=349.586  

And rounded up we have that n=350

4 0
3 years ago
Point P is located at (-3,5)
Naya [18.7K]

Answer:

P' (- 7, - 5 )

Step-by-step explanation:

A translation of 3 units to the left means subtractin 3 from the x- coordinate with no change to the y- coordinate, thus

P(- 3, 5 ) → (- 3 - 4, 5 ) → (- 7, 5 )

Under a reflection in the x- axis

a point (x, y ) → (x, - y ), thus

(- 7, 5 ) → P'(- 7, - 5 )

5 0
3 years ago
Use the law of wines to find the value of y. Round to the nearest Tenth
Eva8 [605]

Answer:

y ≈ 2.5

Step-by-step explanation:

Using the Sine rule in Δ XYZ

\frac{sinZ}{XY} = \frac{sinY}{XZ} , substitute values

\frac{sin50}{2} = \frac{sin75}{y} ( cross- multiply )

y sin50° = 2 sin75° ( divide both sides by sin50° )

y = \frac{2sin75}{sin50} ≈ 2.5 ( to the nearest tenth )

4 0
3 years ago
What is the value of x?<br><br> (2x + 2)<br><br><br> (3x - 52)<br><br><br> x=
Harrizon [31]
2x + 2 = 3x - 52
-2x -2x
2 = x - 52
+52 +52
54 = x
5 0
3 years ago
Read 2 more answers
(SCIENCE) Hello I need help ASAP this was due YESTERDAY but I can still submit it with your help. it will be open for 3 more day
jarptica [38.1K]

Answer:

The winter solstice is the day of the year with the least amout of daylight hours.

4 0
2 years ago
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