24 because when you plug in 0 for both x and y:
0=12(0)+24
12*0=0, leaving you with 24.
Given that triangle m and n are similar, then the implication is the ratio of the corresponding sides are the same and the corresponding angles are equal. This implies that if the two angles of triangle m measure 32° and 93°, then the possible size for the two angles in triangle n will be 32° and 93°.
Answer:
The 90% confidence interval for the true proportion of all consumers who favor the design is (0.52, 0.59).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence level of
, we have the following confidence interval of proportions.

In which
z is the zscore that has a pvalue of
.
For this problem, we have that:

90% confidence level
So
, z is the value of Z that has a pvalue of
, so
.
The lower limit of this interval is:

The upper limit of this interval is:

The 90% confidence interval for the true proportion of all consumers who favor the design is (0.52, 0.59).
Answer:
A
C
D
Step-by-step explanation:
Given in the question an expression

We know that
![n^{\frac{x}{y}} = \sqrt[y]{n^{x}}](https://tex.z-dn.net/?f=n%5E%7B%5Cfrac%7Bx%7D%7By%7D%7D%20%3D%20%5Csqrt%5By%5D%7Bn%5E%7Bx%7D%7D)
here x = 3
y = 5
so
![n^{\frac{3}{5}}=\sqrt[5]{n^{3} }](https://tex.z-dn.net/?f=n%5E%7B%5Cfrac%7B3%7D%7B5%7D%7D%3D%5Csqrt%5B5%5D%7Bn%5E%7B3%7D%20%7D)
When exponent power rule is applied we can say that

because
3/5 = 3*(1/5)
Thirdly,
![\sqrt[5]{x^{3}} = (\sqrt[5]{x})^{3}](https://tex.z-dn.net/?f=%5Csqrt%5B5%5D%7Bx%5E%7B3%7D%7D%20%3D%20%28%5Csqrt%5B5%5D%7Bx%7D%29%5E%7B3%7D)