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Darya [45]
3 years ago
5

ashley calculates her salary (base and commission) for the year “y” using the model y= 0.2x + 25,000; where x represents her tot

al sales for the year. what is the meaning of the y-intercept in the model?
Mathematics
1 answer:
jarptica [38.1K]3 years ago
8 0

Answer:

The y-intercept in the model represents the base salary

Step-by-step explanation:

In regression analysis, the y-intercept refers to the point where a regression line crosses or cuts the y-intercept. At this point, the value of the explanatory variable X is usually 0.

In the model, the explanatory variable x is Ashley's total sales for the year. On the other hand the dependent variable is the annual salary which depends on total sales.

Substituting x with 0 in the regression model yields;

y = 0.2(0) + 25,000

y = 25,000

The y-intercept is thus 25,000 which is simply the salary earned in the absence of sales. This is simply the basic salary.

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Rewrite the expression with a rational exponent as a radical expression.
tatiyna

Answer:

First option is correct.

\sqrt[10]{4}

Step-by-step explanation:

Given:

The given expression is (4^{\frac{2}{5}})^{\frac{1}{4}}

We write the given expression with a rational exponent as a radical expression such as.

=(4^{\frac{2}{5}})^{\frac{1}{4}}

Simplify the above equation by multiplication of powers.

=(4^{\frac{2}{5}\times \frac{1}{4}})

=(4^{\frac{1}{5}\times \frac{1}{2}})

=(4^{\frac{1}{5\times 2}})

=(4^{\frac{1}{10}})

=\sqrt[10]{4}

Therefore, The answer is =\sqrt[10]{4}.

4 0
3 years ago
The proportion of students at a college who have GPA higher than 3.5 is 19%. a. You take repeated random samples of size 25 from
melomori [17]

Answer:

\mu_{\hat{p}}=0.19

\sigma_{\hat{p}}=0.0785

Step-by-step explanation:

We know that the mean and the standard error of the sampling distribution of the sample proportions will be :-

\mu_{\hat{p}}=p

\sigma_{\hat{p}}=\sqrt{\dfrac{p(1-p)}{n}}

, where p=population proportion and n= sample size.

Given : The proportion of students at a college who have GPA higher than 3.5 is 19%.

i.e. p= 19%=0.19

The for sample size n= 25

The mean and the standard error of the sampling distribution of the sample proportions will be :-

\mu_{\hat{p}}=0.19

\sigma_{\hat{p}}=\sqrt{\dfrac{0.19(1-0.19)}{25}}\\\\=\sqrt{0.006156}=0.0784601809837\approx0.0785

Hence , the mean and the standard error of the sampling distribution of the sample proportions :

\mu_{\hat{p}}=0.19

\sigma_{\hat{p}}=0.0785

8 0
3 years ago
Given the function f(x)=x+5-1 choose the correct domain
ElenaW [278]

Answer:

The domain of the function is all real numbers.

Step-by-step explanation:

I graphed the function on the graph below.

If this answer is correct, please make me Brainliest!

6 0
3 years ago
Literal Equations: 1) l= prt, solve for r
nika2105 [10]
Break up into fractions is the best i can give you

3 0
3 years ago
a 25-foot wire is to be cut so that the longer piece is one foot longer than 5 times the shorter peice . find the length of each
Wittaler [7]

short piece = x

 long piece = 5x +1

x +5x +1 = 25

6x = 24

x = 24/6 = 4

 short piece = 4 feet

long piece = 21 feet

3 0
3 years ago
Read 2 more answers
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