1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
algol [13]
3 years ago
6

mr. and mrs. linx both work for the same company, but they do not have the same hourly wages. Together they make $32.50 per hour

. This week, Mr. Linx worked 35 hours, and Mrs. Linx worked 37 hours. Together they made $1,172.50. How much is Mr. Linx hourly wage?
Mathematics
1 answer:
Aliun [14]3 years ago
3 0

Answer:

He would at least made $18.95  dollars per hour

Step-by-step explanation:

You first have to multiply 36.50 to 35, you would get 1137.5. Since the question ask how many he earn each HOUR, you have to divide it 60, which you get 18.95 and other decimal. If it wrong, I'm sorry. I tried my best.  

You might be interested in
Congress regulates corporate fuel economy and sets an annual gas mileage for cars. A company with a large fleet of cars hopes to
attashe74 [19]

Answer:

a) Null hypothesis:\mu \leq 30.2  

Alternative hypothesis:\mu > 30.2  

b) X \sim N(\mu=32.12, \sigma=4.83)

And the distribution for the random sample is given by:

\bar X \sim N(\mu=32.12, \frac{\sigma}{\sqrt{n}}=\frac{4.83}{\sqrt{50}}=0.683)

c) t=\frac{32.12-30.2}{\frac{4.83}{\sqrt{50}}}=2.81    

p_v =P(t_{(49)}>2.81)=0.0035  

d) If we compare the p value and the significance level assumed \alpha=0.01 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the true mean is significantly higher than 30.2.  

e) The p-value is the probability of obtaining the observed results of a test, assuming that the null hypothesis is correct. And for this case is a value to accept or reject the null hypothesis.

Step-by-step explanation:

1) Data given and notation  

\bar X=32.12 represent the sample mean  

s=4.83 represent the sample standard deviation

n=50 sample size  

\mu_o =30.2 represent the value that we want to test

\alpha represent the significance level for the hypothesis test.  

t would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

a. Define the parameter and state the hypotheses.

We need to conduct a hypothesis in order to check if the mean is higher than 30.2 mpg, the system of hypothesis would be:  

Null hypothesis:\mu \leq 30.2  

Alternative hypothesis:\mu > 30.2  

If we analyze the size for the sample is > 30 but we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:  

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}  (1)  

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

b. Define the sampling distribution (mean and standard deviation).

Let X the random variable who represent the variable of interest. And we know that the distribution for X is:

X \sim N(\mu=32.12, \sigma=4.83)

And the distribution for the random sample is given by:

\bar X \sim N(\mu=32.12, \frac{\sigma}{\sqrt{n}}=\frac{4.83}{\sqrt{50}}=0.683)

c. Perform the test and calculate P-value

Calculate the statistic

We can replace in formula (1) the info given like this:  

t=\frac{32.12-30.2}{\frac{4.83}{\sqrt{50}}}=2.81    

P-value

The first step is calculate the degrees of freedom, on this case:  

df=n-1=50-1=49  

Since is a one right tailed test the p value would be:  

p_v =P(t_{(49)}>2.81)=0.0035  

d. State your conclusion.

If we compare the p value and the significance level assumed \alpha=0.01 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the true mean is significantly higher than 30.2.  

e. Explain what the p-value means in this context.

The p-value is the probability of obtaining the observed results of a test, assuming that the null hypothesis is correct. And for this case is a value to accept or reject the null hypothesis.

6 0
3 years ago
A children's slide has a length of 5.8m. The vertical ladder is 2.6m above the groubd. Find the angle the slide makes with the g
Elodia [21]

<u>Answer</u>


26.6°


<u>Explanation</u>

You are required to use the trigonometric ratio, sine, to find that angle.

SinФ = opposite/hypotenuse


sin Θ = 2.6/5.8

= 0.4483


The angle Θ = Anti-sine(0.4483)

= 26.633°


The angle the slide makes with the ground, correct to one decimal place is 26.6°

8 0
3 years ago
Read 2 more answers
Identify the recursive formula for the sequence given by the explicit formula An) = 20
UNO [17]

Answer: f(n) = {f(1)=-4

{f(n) = f(n-1) / 20 if n > 1

Or Answer B.

Step-by-step explanation:

8 0
3 years ago
Karen gets a gas bill. The cost of the gas before the VAT was added was £361.20.
insens350 [35]

The cost of gas bill including VAT is 379.26.

<h3>What is VAT?</h3>

Value-Added Tax (VAT) is a tax, which is payable on sales of goods or services within the territory of the Member States of the EU.

Given:

Cost of the gas before the VAT was added was £361.20.

VAT = 5%

Thus, cost of bill including VAT is

=361.20.*1.05

=379.26.

Learn more about VAT here:

brainly.com/question/20628016

#SPJ1

7 0
2 years ago
What is the solution to the system of equations? Use the substitution method.
kap26 [50]
Hello,
answer A

4x+2y=11
x-2=-2y==>2y=-x+2

4x-x+2=11==>3x=9==>x=3

2y=-3+2==>y=-1/2


5 0
3 years ago
Other questions:
  • Ravi is driving 440 miles to visit his grandma.
    11·1 answer
  • How to simplify the expression 7x+15x
    12·2 answers
  • 3. What is the area of the triangle below? Round your
    7·1 answer
  • How do you write 2916 divided by 9 in the Associative Property
    7·1 answer
  • Stefan sells Jin a bicycle for ​$152 and a helmet for ​$.16 The total cost for Jin is 140​% of what Stefan spent originally to b
    10·1 answer
  • The graph shows the number of points, y, a player earns in a balloon game based on the number of balloons the player pops, x.
    11·2 answers
  • Use PEMDAS to evaluate the expression 24 ÷ 3 + 6 x 4 − 11. 19 21 22 24<br> asap
    7·2 answers
  • Identify all pairs of lines that appear to be perpendicular. Select all that apply
    8·1 answer
  • PLEASE HELP ME MATH IS HARD
    15·2 answers
  • Select all the expressions that are equivalent to 40% of 90. A. 72 B. 36 C. 4/5x9. D. 40/100 divided by 90. E. 2/5x90
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!