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saul85 [17]
2 years ago
5

A car travels 200 miles on 8 gallons of gas. How far can it travel on 20 gallon

Mathematics
2 answers:
kiruha [24]2 years ago
6 0
500 miles


200 mi = 8 gg (gallons of gas)
X mi = 20 gg
200/8 = 25
20 x 25 = x
X = 500 miles
goldenfox [79]2 years ago
6 0

Answer:

first you need to see how many miles it will go on 1 gallon

which is 25 miles

and then you would need to multiply that by 20 which will give you

500 so it will go 500 miles on 20 gallons of gas

Step-by-step explanation:

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The National Transportation Safety Board publishes statistics on the number of automobile crashes that people in various age gro
ra1l [238]

Answer:

a) Null hypothesis:p\leq 0.12  

Alternative hypothesis:p > 0.12  

b) z_{\alpha}=1.64

c) z=\frac{0.134 -0.12}{\sqrt{\frac{0.12(1-0.12)}{1000}}}=1.362  

d) p_v =P(z>1.362)=0.0866  

e) For this case since the statistic is lower than the critical value and the p value higher than the significance level we have enough evidence to FAIL to reject the null hypothesis so then we don't have information to conclude that the true proportion is higher than 0.12

Step-by-step explanation:

Information given

n=1000 represent the random sample selected

X=134 represent the number of young drivers ages 18 – 24 that had an accident

\hat p=\frac{134}{1000}=0.134 estimated proportion of young drivers ages 18 – 24 that had an accident

p_o=0.12 is the value that we want to verify

\alpha=0.05 represent the significance level

Confidence=95% or 0.95

z would represent the statistic

p_v{/tex} represent the p valuePart aWe want to verify if the population proportion of young drivers, ages 18 – 24, having accidents is greater than 12%:  Null hypothesis:[tex]p\leq 0.12  

Alternative hypothesis:p > 0.12  

The statistic would be given by:

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

Part b

For this case since we are conducting a right tailed test we need to find a critical value in the normal standard distribution who accumulates 0.05 of the area in the right and we got:

z_{\alpha}=1.64

Part c

For this case the statistic would be given by:

z=\frac{0.134 -0.12}{\sqrt{\frac{0.12(1-0.12)}{1000}}}=1.362  

Part d

The p value can be calculated with the following probability:

p_v =P(z>1.362)=0.0866  

Part e

For this case since the statistic is lower than the critical value and the p value higher than the significance level we have enough evidence to FAIL to reject the null hypothesis so then we don't have information to conclude that the true proportion is higher than 0.12

8 0
2 years ago
Simplified form of the expression (x^3+3x^2+6)-(9x^2-5x+7)
JulijaS [17]

(x^3 + 3x^2 + 6) - (9x^2 - 5x + 7)\\\\x^3 + 3x^2 + 6 - 9x^2 + 5x - 7\\x^3 - 6x^2 + 5x  -1


8 0
3 years ago
The probability that the fish is black is 2 / 5.
Over [174]

Answer:

probility that fish is not black is 3/5

Step-by-step explanation:

it' s because the full fraction is 5/5 minus 2/5 which is fish is black. so the left is 3/5 which is not black

6 0
3 years ago
PLEASE HELP ASAP WILL GIVE BRAINLIEST!!!!!
olasank [31]

Answer:

A. (0,7)

B. -1.25

C. Negative

D. I started at (0,7), then plotted the second point by moving the point down 5 and right 4.

Step-by-step explanation:

Look at the equation more carefully.

I hope this helps :)

5 0
2 years ago
Read 2 more answers
If f(x)=5x-1, then f^1(x)=
nordsb [41]

Answer:

(y+1)/5

Step-by-step explanation:

you meant f^-1(x) ?

let y= 5x-1

Make x subject of formula

y+1=5x

x=(y+1)/5

f^-1(x)=(x+1)/5 replace y by x

3 0
3 years ago
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