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Orlov [11]
3 years ago
13

Solve for x, and JUSTIFY your answer

Mathematics
1 answer:
Rashid [163]3 years ago
7 0

Answer:

60

Step-by-step explanation:

every angle is the same and 1/3 of 180 is 60

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(5⅐)⁴=( ) OPTIONS : A.) (5⁴)⅐ B.)5²⁸ C.)(5)¹/²⁸ D.)(5)⁷/⁴​
NemiM [27]

Answer:

a

Step-by-step explanation:

4*1/7

5 0
3 years ago
A glass is 1/3 full.
Setler79 [48]

Answer:

216 cm³

Step-by-step explanation:

1/3x + 63 = 5/8x

subtract 1/3x from each side; (1/3x = 8/24x  and  5/8x = 15/24x)

63 = 7/24x

7x = 63(24)

7x = 1512

x = 216

4 0
3 years ago
Sample Size for Proportion As a manufacturer of golf equipment, the Spalding Corporation wants to estimate the proportion of gol
Dima020 [189]

Answer:

n=\frac{0.5(1-0.5)}{(\frac{0.025}{2.58})^2}=2662.56  

And rounded up we have that n=2663

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".  

The population proportion have the following distribution

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

Solution to the problem

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 99% of confidence, our significance level would be given by \alpha=1-0.99=0.01 and \alpha/2 =0.005. And the critical value would be given by:

t_{\alpha/2}=-2.58, t_{1-\alpha/2}=2.58

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 0.025 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)  

We can assume an estimated proportion of \hat p =0.5 since we don't have prior info provided. And replacing into equation (b) the values from part a we got:

n=\frac{0.5(1-0.5)}{(\frac{0.025}{2.58})^2}=2662.56  

And rounded up we have that n=2663

6 0
3 years ago
15.5 decimeters but in meters
ivanzaharov [21]

Answer:

There are 10 decimeters in one meter so the answer is 15.5 / 10 = 1.55 meters.

3 0
3 years ago
Read 2 more answers
In right triangle LMN, ∠N is a right angle and cos M = 4685. What is m∠L to the nearest degree?
MakcuM [25]
Cos m = .4685
cos^-1(.4685) = 62 degrees
angle L = 180-90-62 = 28 degrees
3 0
3 years ago
Read 2 more answers
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