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amm1812
3 years ago
11

Kayla has decided to paint the ceiling in the living room. She has 1/30 gallon of paint left. The living room ceiling will take

5/6 gallon. After buying another gallon and painting the ceiling, how much paint will she have left?
Mathematics
1 answer:
ella [17]3 years ago
3 0
So the ceiling takes 5/6 gallon to paint. We know that you already have 1/30 gallon and another gallon in addition to that. We must convert the 5/6 into ?/30 so we can see how much we need to use. So if we convert 5/6 to out of 30, we get 25/30. So the first can has 1/30 gallon so we subtract that amount from the total paint needed. So now we only need 24/30 gallon to paint the ceiling. If we subtract that amount needed from the full (30/30) can we have left, that will give us the remaining amount of paint we have left. 30/30-24/30= 6/30. This reduces to 1/5. So there is 1/5 gallon of paint left over after painting the ceiling.
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A manufacturer of detergent claims that the contents of boxes sold weigh on average at least 20 ounces. The distribution of weig
jenyasd209 [6]

Answer:

z=\frac{19.87-20}{\frac{0.4}{\sqrt{25}}}=-1.625    

The p value for this case would be given by:

p_v =P(z  

Since the p value is higher than the significance level provided we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true mean is not significantly less than 20 ounces.

Step-by-step explanation:

Information provided

\bar X=19.87 represent the sample mean

\sigma=0.4 represent the population deviation

n=25 sample size  

\mu_o =68 represent the value that we want to test

\alpha=0.01 represent the significance level

z would represent the statistic

p_v represent the p value

Hypothesis to test

We want to test if the true mean is at least 20 ounces, the system of hypothesis would be:  

Null hypothesis:\mu \geq 20  

Alternative hypothesis:\mu < 20  

The statistic is given by:

z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}  (1)  

Replacing the info given we got:

z=\frac{19.87-20}{\frac{0.4}{\sqrt{25}}}=-1.625    

The p value for this case would be given by:

p_v =P(z  

Since the p value is higher than the significance level provided we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true mean is not significantly less than 20 ounces.

7 0
3 years ago
Use the relationship between the angles in the figure to answer the question.
Brut [27]

Answer:

​x + 49 + 28 = 180​

Step-by-step explanation:

​The angles on a straight line with x° are 28° and 49° respectively, side by side with x°. This is because, vertical angles are equal. Therefore, the angle vertically opposite 28° and 49° are equal to 28° and 49° respectively.

Therefore, since angles on a straight line is 180°, thus:

​x + 49 + 28 = 180​

6 0
3 years ago
Read 2 more answers
A company rents out 17 food booths and 22 game booths at the county fair. The fee for a food booth is $175 plus $10 per day. The
GrogVix [38]

Answer:

<em>Ct = 4075 + 368d</em>

Step-by-step explanation:

<u>Function Models</u>

A company rents out food booths and game booths at the county fair.

For a food booth, the company charges a fixed fee of $175 and a variable fee of $10 per day. If d is the number of days, then the charges for a food booth are:

Cf = 175 + 10d

Similarly, the company charges $50 plus $9 per day for a game booth, thus the total charges are:

Cg = 50 + 9d

If all the booths are rented for the entire time, the total amount the company is paid for 17 food booths and 22 game booths is:

Ct = 17Cf + 22Cg

Substituting:

Ct = 17(175 + 10d) + 22(50 + 9d)

Operating:

Ct = 2975 + 170d + 1100 + 198d

Simplifying:

Ct = 4075 + 368d

8 0
3 years ago
Which expression represents the quotient of the model shown? -x2 O x + 3 x - 3 lolo o O -X-3 -x + 3​
Bess [88]

Answer:

<h3>-x+3</h3>

Step-by-step explanation:

Given the expression

-x^2 + x + 3 x - 3

Factorize

(-x^2 + x) + (3 x - 3)

-x(x-1)+3(x-1)

= (x-1)(-x+3)

Hence one of the quotient is -x+3

3 0
3 years ago
3
Gnoma [55]

Answer:

-35 - 5

Step-by-step explanation:

2 + 12 = 14, which is positive

(-3) * (-8) = 24, which is positive

10 - (-18) = 10 + 18 = 28, which is positive

-35 - 5 = -40, which is negative

6 0
3 years ago
Read 2 more answers
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