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Phoenix [80]
3 years ago
12

Jack is mowing lawns. He mows lawns at a constant rate of 1/3 acre every 3/4 hour. At this rate, which fraction represents the a

cres Jack can mow per hour?
Mathematics
2 answers:
alekssr [168]3 years ago
6 0

Answer:

\frac{4}{9}acres/hr

Step-by-step explanation:

Givens

  • The constant rate is 1/3 acre per every 3/4 hour.

To find the fraction that represents the constant per hour, we just need to divide both expression, like this

\frac{1}{3}acre \div \frac{3}{4}hr=\frac{1}{3}\times \frac{4}{3} =\frac{4}{9}acres/hr

Therefore, the expression that represents the acres Jack can mow per hour is

\frac{4}{9}acres/hr

zheka24 [161]3 years ago
5 0

Answer:

1/4 acre every 1 hour

Step-by-step explanation:

divide 1/3 with 3/4 to find unit rate

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Read 2 more answers
] It is claimed that 42% of US college graduates had a mentor in college. For a sample of college graduates in Colorado, it was
Bad White [126]

Answer:

z=\frac{0.480 -0.42}{\sqrt{\frac{0.42(1-0.42)}{1045}}}=3.930  

The p value for this case would be given by:

p_v =P(z>3.930)=0.0000443  

For this case the p value is lower than the significance level so then we have enough evidence to reject the null hypothesis so then we can conclude that the true proportion is significantly higher than 0.42

Step-by-step explanation:

Information given

n=1045 represent the random sample selected

X=502 represent the college graduates with a mentor

\hat p=\frac{502}{1045}=0.480 estimated proportion of college graduates with a mentor

p_o=0.42 is the value that we want to test

z would represent the statistic

p_v represent the p value

Hypothesis to test

We want to test if the true proportion is higher than 0.42, the system of hypothesis are.:  

Null hypothesis:p \leq 0.42  

Alternative hypothesis:p > 0.42  

The statistic is given by:

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

Replacing the info we got:

z=\frac{0.480 -0.42}{\sqrt{\frac{0.42(1-0.42)}{1045}}}=3.930  

The p value for this case would be given by:

p_v =P(z>3.930)=0.0000443  

For this case the p value is lower than the significance level so then we have enough evidence to reject the null hypothesis so then we can conclude that the true proportion is significantly higher than 0.42

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Help with it all, don't understand this
Ganezh [65]
Number 3 it is a factor because if u expand you will see that x+6 will be the answer
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