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
ss7ja [257]
3 years ago
10

Jenae is sewing a quilt for her grandmother. She decides the area of the quilt will be x² + 18x + 80 square inches. If the lengt

h of the quilt is (x + 10) inches, what is the width? Explain how you know in a complete sentence.
Mathematics
1 answer:
makvit [3.9K]3 years ago
4 0

Answer:

Width = (x + 8) inches.

Step-by-step explanation:

The  area of the quilt is the length times the width and if we know the area and the length we can find the width by area / length.

Area = x^2 + 18x + 80 = (x + 10)(x + 8) - now we know that the length is (x + 10) so the width must be (x + 8) inches.

Let me know if you require more explanation.

You might be interested in
Workers at a certain soda drink factory collected data on the volumes​ (in ounces) of a simple random sample of 1818 cans of the
ohaa [14]

The question is incomplete! Complete question along with answer and step by step explanation is provided below.

Question:

Workers at a certain soda drink factory collected data on the volumes​ (in ounces) of a simple random sample of 18 cans of the soda drink. Those volumes have a mean of 12.19 oz and a standard deviation of 0.14 oz, and they appear to be from a normally distributed population.

If the workers want the filling process to work so that almost all cans have volumes between 12.02 oz and 12.66 ​oz, the range rule of thumb can be used to estimate that the standard deviation should be less than 0.16 oz. Use the sample data to test the claim that the population of volumes has a standard deviation less than 0.16 oz. Use a 0.01 significance level. Complete parts​ (a) through​ (d) below.

a. Identify the null and alternative hypotheses.  

b. Compute the test statistic.

c. Find the p-value.

d. State the conclusion.

Answer:

Null hypotheses = H₀: σ = 0.16  oz

Alternate hypotheses = H₁: σ < 0.16  oz

Critical value = 6.408

Chi-square value = \chi^2 = 13.016

Reject H₀  Since \chi^2 > Critical value

Reject H₀ Since p-value ≤ α

We have significant evidence at given significance level that the population of volumes has a standard deviation of less than 0.16 oz.

Step-by-step explanation:

Set up hypotheses:

The null hypotheses is that the population of volumes has a standard deviation of 0.16 oz

Null hypotheses = H₀: σ = 0.16  oz

The claim to be tested is that the population of volumes has a standard deviation of less than 0.16 oz

Alternate hypotheses = H₁: σ < 0.16  oz

Determine type of test:

Since the alternate hypothesis states that the population of volumes has a standard deviation of less than 0.16 oz, therefore we will use a lower-tailed chi-square test.

Determine the Critical value:

Given level of significance = 0.01

Since it is a lower-tailed test, the areas given in the chi-square table are the areas to the right of the critical value. To get the areas on the left, subtract it from  one, and then look it up

α = 1 - 0.01 = 0.99

degree of freedom = df = n - 1 = 18 - 1 = 17

The critical value from the chi-square table at α = 0.99 and df = 17 is found to be

Critical value = 6.408

Using an online “chi-square p-value calculator”

The left tail p-value for df = 17 and Critical value = 6.408 is found to be

p-value = 0.01

Set up decision rule:

Reject H₀ If  > Critical value

We reject the Null hypothesis If the calculated chi-square value is more than the critical value.

OR

Reject H₀ If p-value ≤ α

Compute the test statistic:

$ \chi^2 = \frac{(n-1) s^2}{\sigma^2} } $

$ \chi^2 = \frac{(18-1) 0.14^2}{0.16^2} } $

\chi^2 = 13.016

Conclusion:

We reject H₀

Since \chi^2 > Critical value

13.016 > 6.408

Also

p-value ≤ α

0.01 ≤ 0.01

We have significant evidence at given significance level that the population of volumes has a standard deviation of less than 0.16 oz.

5 0
2 years ago
Y=(?,?) x=(?,?) determine the intercept of the line
drek231 [11]
Xintercept (125,0)
Yintercept (0,275)
8 0
3 years ago
Read 2 more answers
Alan's go kart travels 1750 feet per minute, and Barry's go kart travels 21 miles per hour . whose go kart travels faster ? roun
devlian [24]
Alan's go kart is faster
4 0
3 years ago
Write an expression that can be used to multiply 6x198 mentally
RoseWind [281]
 Do a mental sum for 6 x 200 (1200) then subtract 6<span>x 2 (12) to give you 1188.</span>
8 0
2 years ago
Read 2 more answers
What is the answer to this question?
dimulka [17.4K]
Yes it is greater than 1,000
5 0
3 years ago
Read 2 more answers
Other questions:
  • Find SP when CP=Rs.400 and proft%=4%
    13·2 answers
  • travis had a birthday party invited 9 friends he had 360 baseball cards how many baseball cards did each friend have if he gave
    12·1 answer
  • The length of a rectangle is one inch less than three times its width. If the perimeter of the rectangle is 54 inches, find the
    6·1 answer
  • Which of the following pairs of numbers contains like fractions?
    5·1 answer
  • You want to study at the Hogwarts School of Witchcraft and Wizardry after three years. You need 910910 pieces of muggle-money to
    13·1 answer
  • Given the equation y = 7 sec(6x– 30)<br><br> The period is:<br><br> The horizontal shift is:
    12·1 answer
  • (3^6)^-2/(6^-9*-2^10)
    6·1 answer
  • Help pls ............
    9·1 answer
  • The distance from Hawthorne to Huntington Beach, on a map, is 0.75 inches. The scale on the map says that 2 in = 175 miles. Appr
    14·1 answer
  • A_________is a common multiple of two or more denominators
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!