What is the surface area? square Varas

After an importer paid 30% of the cost of an item in taxes and $65.00 for freight charges, the total bill was $520.00. The cost

Marianna [84]

Step-by-step explanation:

let the cost of the item be y

for taxes

30%of y

30/100×y=3y/10

=0.3y

freight charges =65

total =520

0.3y+65=520

0.3y=520-65

0.3y=455

y=455/0.3

y=$1516.7

y≈$1517

7 0

3 years ago

As discussed in Exercise 6.10, the General Social Survey reported a sample where about 61% of US residents thought marijuana sho

Maslowich

Answer: 2285

Step-by-step explanation:

Formula to find the sample size is given by :-

$n=p(1-p)(\dfrac{z_c}{E})^2$

, where p = prior estimate of population proportion.

E= Margin of error.

$z_c$ = z-value for confidence interval of c.

Given : Confidence interval : 95%

From the z-value table , the z-value for 95% confidence interval = $z_c=1.96$

The General Social Survey reported a sample where about 61% of US residents thought marijuana should be made legal.

i.e. the prior estimate of population proportion of US residents thought marijuana should be made legal : p=0.61

[∵ sample proportion is the best estimate for population proportion.]

Margin of error : E= 2%=0.02

Now, the required minimum sample size would be :-

$n=0.61(1-0.61)(\dfrac{1.96}{0.02})^2$

Simplify ,

$n=0.2379\times9604=2284.7916\approx2285$

Thus , we need to survey 2285 Americans .

4 0

3 years ago

Find the missing length of the triangle. 10 in. 16 26 in.

Yanka [14]

Answer:

24

Step-by-step explanation:

26x26=676

10x10=100

676/100=576

The square root of 576 is 24.

8 0

3 years ago

Professor wonders whether a student's homework average (X) could be used to predict their final grade in the course (Y) . She ca

Anna11 [10]

Answer:

The dependent variable is the final grade in the course and is the vriable of interest on this case.

H0: $\beta_1 = 0$

H1: $\beta_1 \neq 0$

And if we reject the null hypothesis we can conclude that we have a significant relationship between the two variables analyzed.

Step-by-step explanation:

On this case w ehave the following linear model:

$Y= 21.839 +0.724 X$

Where Y represent the final grade in the course and X the student's homework average. For this linear model the slope is given by $\beta_1 = 0.724$ and the intercept is $\beta_0 = 21.839$

Which is the dependent variable, and why?

The dependent variable is the final grade in the course and is the vriable of interest on this case.

Based on the material taught in this course, which of the following is the most appropriate alternative hypothesis to use for resolving this question?

Since we conduct a regression the hypothesis of interest are:

H0: $\beta_1 = 0$

H1: $\beta_1 \neq 0$

And if we reject the null hypothesis we can conclude that we have a significant relationship between the two variables analyzed.

3 0

3 years ago

When modeling hourly pay, which part of the equation is used to represent the hourly rate?

lesantik [10]

Answer:

y = mx + b

Step-by-step explanation:

The reason is, x is always the hour, and m is the amount of money you earn in the hours.

3 0

3 years ago

What is the surface area?square Varas​

What is the surface area?square Varas