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timurjin [86]
2 years ago
11

A car Travel 476 miles on 14 gallons of gas. Write an eqation relating the distance d to the nuber of gallons

Mathematics
1 answer:
Klio2033 [76]2 years ago
3 0
476miles per 14gallons of gas

is the same as 476 / 14 = 34

so 34miles / 1gallon of gas.

34x =578 where x is the number of gallons

578 / 34 = 17gallons
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At a certain university, the average attendance at basketball games has been 3125. Due to the dismal showing of the team this ye
Neporo4naja [7]

Answer:

The test statistic needed to evaluate the claim is t = -1.08.

Step-by-step explanation:

The test statistic is:

t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}

In which X is the sample mean, \mu is the expected value of the mean, s is the standard deviation of the sample and n is the size of the sample.

At a certain university, the average attendance at basketball games has been 3125. The athletic director claims that the attendance is the same as last year.

This means that \mu = 3125

Due to the dismal showing of the team this year, the attendance for the first 9 games has averaged only 2915 with a standard deviation of 585.

This means that n = 9, X = 2915, s = 585

What is the test statistic needed to evaluate the claim?

t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}

t = \frac{2915 - 3125}{\frac{585}{\sqrt{9}}}

t = -1.08

The test statistic needed to evaluate the claim is t = -1.08.

6 0
2 years ago
Find X<br><br> Options:<br><br> 6<br> 4 square root 6<br> 6<br> square root 146
elena-14-01-66 [18.8K]

For this case we can apply the Pythagorean theorem to find "x". Taking the rectangle triangle of base 5 we have:

x = \sqrt {11 ^ 2-5 ^ 2}\\x = \sqrt {121-25}\\x = \sqrt {96}\\\x = \sqrt {4 ^ 2 * 6}

By definition of power properties we have:

\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}

So:

x = 4 \sqrt {6}

Answer:

x = 4 \sqrt {6}

8 0
2 years ago
Read 2 more answers
By using the table in the handbook, the present value of $12,000 for six years compounded at 6 percent semiannually is
denis23 [38]
Take a look at the attachment to see the solution.
A = future value
P = principal (P = 12,000)
r = interest rate (r=6)
n = time periods (n=12)

6 0
3 years ago
−
irakobra [83]

Answer: =296

Step-by-step explanation: −2*4=-8+20=28*3=84+48=132*2=164−2=162*4+20*3+48*2= 296

8 0
2 years ago
It has been said that newspapers are disappearing, replaced by various electronic media. In 2004, newspaper circulation (the num
shutvik [7]

Answer:

A. y=-1.2x+59

B. 42.2 million

Step-by-step explanation:

Part A:

Given:

Newspapers circulated in year 2004, y_{1}=59\textrm{ million}

Newspapers circulated in year 2014, y_{2}=47\textrm{ million}

Let the time x start at the year 2004. So, x_{1}=0

For the year 2014, x_{2}=2014-2004=10

Therefore, linear relationship between newspapers circulated and time passed since 2004 is given as:

y-y_{1}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}(x-x_{1})\\y-59=\frac{47-59}{10-0}(x-0)\\y-59=-\frac{12}{10}x\\y=-1.2x+59

Therefore, the equation describing the relationship is: y=-1.2x+59

Part B:

For the year 2018, x=2018-2004=14

Plug in 14 for x in the above equation and solve for y. This gives,

y=-1.2(14)+59\\y=-16.8+59\\y=42.2

Therefore, in the year 2018, the newspaper circulation will be 42.2 million.

8 0
2 years ago
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