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2 years ago

6

Tyes math book is 2 3/4 inches thick her history book 1 3/8 inches thick how much thicker is her math book than her history book

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1 answer:

Shalnov [3]2 years ago

4 0

Answer:

1 3/8

Step-by-step explanation:

Subtract the fractions, but you need to find common denominators first. Since 4 can go into 8, 8 is the common denominator. Multiply 2 3/4 by 2/2

2 3/4 × 2/2 = 2 6/8

Now subtract.

2 6/8 - 1 3/8 = 1 3/8

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The Environmental Protection Agency (EPA) publishes fuel economy values that are known to be good estimates of the fuel economy

r-ruslan [8.4K]

Answer:

The 90% confidence interval for the mean combined fuel economy for Ford Explorers is between 22.95 and 23.63 mpg.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 16 - 1 = 15

90% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 15 degrees of freedom(y-axis) and a confidence level of $1 - \frac{1 - 0.9}{2} = 0.95$ . So we have T = 1.7531

The margin of error is:

$M = T\frac{s}{\sqrt{n}} = 1.7531\frac{0.78}{\sqrt{16}} = 0.34$

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 23.29 - 0.34 = 22.95 mpg

The upper end of the interval is the sample mean added to M. So it is 23.29 + 0.34 = 23.63 mpg

The 90% confidence interval for the mean combined fuel economy for Ford Explorers is between 22.95 and 23.63 mpg.

7 0

2 years ago

Owen ate three-eighths of a pizza for lunch. For dinner, he ate two-thirds of what was left from lunch. How much of the whole

Step2247 [10]

Answer: 5/12 of the whole pizza

So we start we the whole pizza = 1
Then he ate 3/8:
1 - 3/8
And then 2/3 of what was left:
2/3(1 - 3/8)
2/3 - 1/4
8/12 - 3/12
5/12

8 0

3 years ago

The population of a city grows exponentially at rate of 8% per year.Find the number of years it takes for the population to be d

Ilya [14]

Answer:

<em>It will take 9 years for the population to double</em>

Step-by-step explanation:

<u>Exponential Growth </u>

The natural growth of some magnitudes can be modeled by the equation:

$P=P_o(1+r)^t$

Where P is the actual amount of the magnitude, Po is its initial amount, r is the growth rate and t is the time.

The population of a city grows at a rate of r=8% = 0.08 per year. We are required to find when (t) the population will double, or P=2Po.

Substituting in the equation:

$2P_o=P_o(1+0.08)^t$

Simplifying:

$2=(1.08)^t$

Taking logarithms:

$\log 2=\log (1.08)^t$

Applying the exponent property of logs:

$\log 2=t\log (1.08)$

Solving for t:

$\displaystyle t=\frac{\log 2}{\log (1.08)}$

Calculating:

$t\approx 9$

It will take 9 years for the population to double

8 0

2 years ago

1.2 divided by 0.3 asp asp

igomit [66]

Answer:

4

Step-by-step explanation:

3 0

3 years ago

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What is the simplified expression for 6(2(y+x))?

koban [17]

It should be B I know how to do it

5 0

2 years ago

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