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
Kobotan [32]
3 years ago
6

Mr. Trager has $500.00 to spend at a bicycle store. All prices listed below include tax. . He buys a new bicycle for $273.98. .

He buys 3 bicycle reflectors for $7.23 each and 1 bicycle helmet for $42.36. . He plans to use the remaining money to buy new cycling outfits for $78.12 each.
Mathematics
1 answer:
dolphi86 [110]3 years ago
5 0

273.98 + 3(7.23) + 42.36 + 78.12x <= 500

78.12x <= 161.97

2 outfits = 156.24 with 15.73 left

You might be interested in
What are the answers to these. Please Help.
Ugo [173]

Answer:

the answer for number 4 is c

8 0
3 years ago
Read 2 more answers
A company wants to find out if the average response time to a request differs across its two servers. Say µ1 is the true mean/ex
lorasvet [3.4K]

Answer:

a) The null and alternative hypothesis are:

H_0: \mu_1-\mu_2=0\\\\H_a:\mu_1-\mu_2\neq 0

Test statistic t=0.88

The P-value is obtained from a t-table, taking into acount the degrees of freedom (419) and the type of test (two-tailed).

b)  A P-value close to 1 means that a sample result have a high probability to be obtained due to chance, given that the null hypothesis is true. It means that there is little evidence in favor of the alternative hypothesis.

c) The 95% confidence interval for the difference in the two servers population expectations is (-0.372, 0.972).

d) The consequences of the confidence interval containing 0 means that the hypothesis that there is no difference between the response time (d=0) is not a unprobable value for the true difference.

This relate to the previous conclusion as there is not enough evidence to support that there is significant difference between the response time, as the hypothesis that there is no difference is not an unusual value for the true difference.

Step-by-step explanation:

This is a hypothesis test for the difference between populations means.

The claim is that there is significant difference in the time response for the two servers.

Then, the null and alternative hypothesis are:

H_0: \mu_1-\mu_2=0\\\\H_a:\mu_1-\mu_2\neq 0

The significance level is 0.05.

The sample 1, of size n1=196 has a mean of 12.5 and a standard deviation of 3.

The sample 2, of size n2=225 has a mean of 12.2 and a standard deviation of 4.

The difference between sample means is Md=0.3.

M_d=M_1-M_2=12.5-12.2=0.3

The estimated standard error of the difference between means is computed using the formula:

s_{M_d}=\sqrt{\dfrac{\sigma_1^2}{n_1}+\dfrac{\sigma_2^2}{n_2}}=\sqrt{\dfrac{3^2}{196}+\dfrac{4^2}{225}}\\\\\\s_{M_d}=\sqrt{0.046+0.071}=\sqrt{0.117}=0.342

Then, we can calculate the t-statistic as:

t=\dfrac{M_d-(\mu_1-\mu_2)}{s_{M_d}}=\dfrac{0.3-0}{0.342}=\dfrac{0.3}{0.342}=0.88

The degrees of freedom for this test are:

df=n_1+n_2-1=196+225-2=419

This test is a two-tailed test, with 419 degrees of freedom and t=0.88, so the P-value for this test is calculated as (using a t-table):

\text{P-value}=2\cdot P(t>0.88)=0.381

As the P-value (0.381) is greater than the significance level (0.05), the effect is not significant.

The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that there is significant difference in the time response for the two servers.

<u>Confidence interval </u>

We have to calculate a 95% confidence interval for the difference between means.

The sample 1, of size n1=196 has a mean of 12.5 and a standard deviation of 3.

The sample 2, of size n2=225 has a mean of 12.2 and a standard deviation of 4.

The difference between sample means is Md=0.3.

The estimated standard error of the difference is s_Md=0.342.

The critical t-value for a 95% confidence interval and 419 degrees of freedom is t=1.966.

The margin of error (MOE) can be calculated as:

MOE=t\cdot s_{M_d}=1.966 \cdot 0.342=0.672

Then, the lower and upper bounds of the confidence interval are:

LL=M_d-t \cdot s_{M_d} = 0.3-0.672=-0.372\\\\UL=M_d+t \cdot s_{M_d} = 0.3+0.672=0.972

The 95% confidence interval for the difference in the two servers population expectations is (-0.372, 0.972).

7 0
3 years ago
A garden has a circular border and a fountain in the center. I measured the distance from one side of the garden to the other, g
Snezhnost [94]

Answer:

The length of the border is approximately 4 feet.

Step-by-step explanation:

Since the garden has a circular border we can apply the formula for the circle's length, which is shown below:

length = 2*\pi*radius

Where the radius is half the diameter. The diameter is the distance between two points in the circle going through the center, therefore for this garden the diameter is 1.2 feet and the radius is 0.6 feet. Applying this to the formula gives us:

length = 2*\pi*0.6\\length = 1.2*\pi\\length = 3.8

The length of the border is approximately 4 feet.

7 0
3 years ago
What is the domain and range? ex. (-4, infinity)
nevsk [136]

Answer:

Step-by-step explanation:

Domain for the bottom graph

D: [-6,0)

R: (-6,5]

7 0
3 years ago
How do you solve this?
MrRa [10]

Answer:

Sorry I don't know

Step-by-step explanation:

.......

4 0
2 years ago
Read 2 more answers
Other questions:
  • Which set of ordered pairs represents a function?
    11·1 answer
  • How many kg of water is 2.2 pounds
    8·2 answers
  • You work for a delivery service. With plan A, you can earn $5 per hour plus $0.75 per delivery. With plan B, you can earn $7 per
    11·1 answer
  • The amount of insurance​ (in thousands of​ dollars) sold in a day by a particular agent is uniformly distributed over the interv
    12·1 answer
  • Ryan is cleaning out his room. His sister gives him 4 boxes of books to put with the 3 books he already had. When he finishes cl
    10·1 answer
  • Convert (10111)2 into decimal number system​
    8·1 answer
  • 6 cm<br> 4 cm<br> 9.5 cm<br> 4 cm<br> 6.5 cm<br> I need help I have to find the perimeter for this
    5·2 answers
  • ILL GIVE BRAINLEST, find the value of x
    15·2 answers
  • One bottle contains 341 ml of juice. Céline buys 2 cases of 24 bottles of juice. Nicole buys 3 cases of 12 bottles of juice. Who
    11·1 answer
  • The new number, 200, is 400 less then the original number. What us the approximate percent change?
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!