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taurus [48]
3 years ago
5

Brandon bought a gallon of paint that covers 160 square feet. He wants to paint a wall that is 10 ft. high and 12 ft. wide. Expl

ain whether he will need more than one gallon of paint. A. No, he won't need more paint. Brandon has enough paint to cover the 22-square-foot wall. B. Yes, he will need more paint. Brandon needs another gallon to cover the 240-square-foot wall. C. No, he won't need more paint. Brandon has enough paint to cover the 120-square-foot wall. D. Yes, he will need more paint. Brandon needs enough paint to cover the 1,200-square-foot wall.
Mathematics
1 answer:
umka2103 [35]3 years ago
3 0
C. Brandon has enough paint to cover the 120 square-foot wall.
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A survey was conducted to determine the average age at which college seniors hope to retire in a simple random sample of 101 sen
tatyana61 [14]

Answer:

96% confidence interval for desired retirement age of all college students is [54.30 , 55.70].

Step-by-step explanation:

We are given that a survey was conducted to determine the average age at which college seniors hope to retire in a simple random sample of 101 seniors, 55 was the  average desired retirement age, with a standard deviation of 3.4 years.

Firstly, the Pivotal quantity for 96% confidence interval for the population mean is given by;

                         P.Q. =  \frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }  ~ t_n_-_1

where, \bar X = sample average desired retirement age = 55 years

            \sigma = sample standard deviation = 3.4 years

            n = sample of seniors = 101

            \mu = true mean retirement age of all college students

<em>Here for constructing 96% confidence interval we have used One-sample t test statistics as we don't know about population standard deviation.</em>

<u>So, 96% confidence interval for the population mean, </u>\mu<u> is ;</u>

P(-2.114 < t_1_0_0 < 2.114) = 0.96  {As the critical value of t at 100 degree

                                               of freedom are -2.114 & 2.114 with P = 2%}  

P(-2.114 < \frac{\bar X-\mu}{\frac{s}{\sqrt{n} } } < 2.114) = 0.96

P( -2.114 \times {\frac{s}{\sqrt{n} } } < {\bar X-\mu} < 2.114 \times {\frac{s}{\sqrt{n} } } ) = 0.96

P( \bar X-2.114 \times {\frac{s}{\sqrt{n} } } < \mu < \bar X+2.114 \times {\frac{s}{\sqrt{n} } } ) = 0.96

<u>96% confidence interval for</u> \mu = [ \bar X-2.114 \times {\frac{s}{\sqrt{n} } } , \bar X+2.114 \times {\frac{s}{\sqrt{n} } } ]

                                           = [ 55-2.114 \times {\frac{3.4}{\sqrt{101} } } , 55+2.114 \times {\frac{3.4}{\sqrt{101} } } ]

                                           = [54.30 , 55.70]

Therefore, 96% confidence interval for desired retirement age of all college students is [54.30 , 55.70].

7 0
2 years ago
Bethany can mow her family’s lawn in 4 hours. Her brother Colin can mow the lawn in 3 hours. Which equation can be used to find
maria [59]
In 4 hours Bethany did the whole fraction 1 of the house.

In 1 hour he would do 1/4 of it.

In 3 hours Colin did the whole fraction 1 of the house.

<span>In 1 hour he would do 1/3 of it.
</span>
In 1 hour they would both do (1/4 + 1/3)

If it takes both of them x hours to finish 1 whole fraction of the house.

In 1 hour they will both do   1/x

That means that:

1/x = 1/4 + 1/3

That is the equation.   x can be solved for.
5 0
3 years ago
Read 2 more answers
Hi I need help :( Pls show your working..Will give brainliest for helpful answer​
Basile [38]

Answer:

number 10

dy/dx =(dy/dt).(dt/dx)

now find

dy/dt=4t-1. , dt/dx=1

so : dy/dx=(4t-1).(1)

dy/dx= 4t-1 ,we have x=t-3-----> t=x+3

subtitute at t

dy/dx= 4(x+3)-1=4x+12-1= 4x+11

5 0
3 years ago
Angle C and angle D are supplementary. If the measure of angle D is 84 degrees, what is the measure
garik1379 [7]

Suplementary is angles add up to 180 degrees

C=180-D

C=180-84

C=96 degrees

Hope this helped :)

3 0
2 years ago
Read 2 more answers
explain how you can tell the difference between the half inch and quarter inch marks when measuring an object with a ruler
svlad2 [7]

Answer:

You will know it is an inch ruler because it will have 12 lines that denote inches on ... In the first inch, these marks will mark 1/4, 1/2, 3/4, and 1 ...

7 0
3 years ago
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