How many cubic inches are in one-sixth of one cubic yard?

Tyler and Pearl went on a 20km bike ride that lasted for 3 hours. Because of steep hills or the trail, they walked for most of t

noname [10]

Answer: 1 hour

Step-by-step explanation:

Let the distance they walked be $d_1$ in time $t_1$ and the distance they walked be $d_2$ in time $t_2$ ,then

Walking speed= $\frac{d_1}{t_1}=4$

$\\\Rightarrow\ d_1=4t_1$

Riding speed= $\frac{d_2}{t_2}=12$

$\\\Rightarrow\ d_2=12t_1$

Also the total time taken=3 hours

∴ $t_1+t_2=3\\\Rightarrow\ t_2=3-t_1$ ...(1)

Since the total distance= 20 km

∴ $d_1+d_2=20\\\Rightarrow4t_1+12t_2=20\\\Rightarrow4t_1+12(3-t_1)=20..............[\text{from (1)}]\\\Rightarrow4t_1+36-12t_1=20\\\Rightarrow-8t_1=-8\\\Rightarrow\ t_1=1$

Thus, the they spent 1 hour time in walking.

7 0

2 years ago

If there’s 40 students and 55% students passed.<br> What number of students passed

OlgaM077 [116]

Answer:

22

Step-by-step explanation:

40x.55=22

5 0

3 years ago

one batch of vegetable soup uses 2 cups of chopped onions, 1.5 cups of celery, and 1 cup of chopped carrots. select the ratio th

kicyunya [14]

So what you need to do is add all of the veggies up. 2+1.5+1= 4.5
Then you write the ratio out. 1:4.5.
This can also be written as 2/9 or .222 repeating

7 0

3 years ago

Read 2 more answers

A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 420 gram setting. It is

anastassius [24]

Answer:

$t=\frac{424-420}{\frac{26}{\sqrt{61}}}=1.202$

$p_v =2*P(t_{(60)}>1.202)=0.234$

If we compare the p value and the significance level given $\alpha=0.01$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to fail reject the null hypothesis, so we can conclude that the true mean is NOT different from 420. So the specification is satisfied.

Step-by-step explanation:

Data given and notation

$\bar X=424$ represent the sample mean

$s=26$ represent the sample standard deviation

$n=61$ sample size

$\mu_o =420$ represent the value that we want to test

$\alpha=0.01$ represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the true mean is different from 420 or not, the system of hypothesis would be:

Null hypothesis: $\mu = 420$

Alternative hypothesis: $\mu \neq 420$

If we analyze the size for the sample is > 30 but we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

Calculate the statistic

We can replace in formula (1) the info given like this:

$t=\frac{424-420}{\frac{26}{\sqrt{61}}}=1.202$

P-value

The first step is calculate the degrees of freedom, on this case:

$df=n-1=61-1=60$

Since is a two sided test the p value would be:

$p_v =2*P(t_{(60)}>1.202)=0.234$

Conclusion

If we compare the p value and the significance level given $\alpha=0.01$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to fail reject the null hypothesis, so we can conclude that the true mean is NOT different from 420. So the specification is satisfied.

4 0

3 years ago

The planet Mercury is approximately 6 × 10*7 miles from the sun . the distance between the sun and Mars is approximately 2 × 10*

vodomira [7]

The answer is B

Because Mercury and the Sun are 60,000,00 miles apart and Mars is 200,000,000 miles away from the sun. Divide 200,000,000 and 60,000,000 and you will get 3.3 (Just round)

3 0

3 years ago

Read 2 more answers