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lukranit [14]
3 years ago
7

john drives to the beach,which is 270 miles away. in 2 hours, he drives 120 miles. if he continues at that speed, how long will

it take him to get to the beach
Mathematics
2 answers:
Firdavs [7]3 years ago
5 0
4 hour 30 min hope this helps
Kazeer [188]3 years ago
3 0
So John is driving 60 miles per hour. So John would get their in 4 hours and 25-30 min

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The mean consumption of bottled water by a person in the United States is 28.5 gallons per year. You believe that a person consu
Over [174]

Answer:

t=\frac{27.8-28.5}{\frac{4.1}{\sqrt{100}}}=-1.707    

p_v =P(t_{99}

If we compare the p value with a significance level for example \alpha=0.1 we see that p_v so we can conclude that we reject the null hypothesis, so there is not enough evidence to conclude that the mean for the consumption is less than 28.5 gallons at 0.1 of significance, so we can reject the claim that person consume more than 28.5 gallons.

Step-by-step explanation:

Data given and notation    

\bar X=27.8 represent the mean for the account balances of a credit company

s=4.1 represent the population standard deviation for the sample    

n=1000 sample size    

\mu_o =28.5 represent the value that we want to test  

\alpha=0.1 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 determine if the mean for the person consume is more than 28.5 gallons, the system of hypothesis would be:    

Null hypothesis:\mu \geq 28.5    

Alternative hypothesis:\mu < 28.5    

We don't know the population deviation, so for this case we can use the 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{27.8-28.5}{\frac{4.1}{\sqrt{100}}}=-1.707    

Calculate the P-value    

First we need to calculate the degrees of freedom given by:

df=n-1=100-1=99

Since is a one-side lower test the p value would be:    

p_v =P(t_{99}

In Excel we can use the following formula to find the p value "=T.DIST(-1.707,99)"  

Conclusion    

If we compare the p value with a significance level for example \alpha=0.1 we see that p_v so we can conclude that we reject the null hypothesis, so there is not enough evidence to conclude that the mean for the consumption is less than 28.5 gallons at 0.1 of significance, so we can reject the claim that person consume more than 28.5 gallons.

5 0
3 years ago
Jason poured 1 gallon 1 quart of water into an empty 2-gallon bucket. How much more water can be added to reach the bucket's 2-g
Romashka [77]

Answer: 3 quart

Step-by-step explanation:

Given

Jason poured 1 gallon 1 quart of water into an empty 2 gallon bucket

1 gallon can be written as 4 quart

So, 2 gallon can be written as 8 quart

Subtract 1 gallon 1 quart(5 quart) from 2 gallon(8 quart) to get the volume added

\Rightarrow 8-5\\\Rightarrow 3\ \text{quart}

So, 3 quart of water must be added to reach 2 gallon capacity.

6 0
3 years ago
Compare the value of the 2s and 5s in 55,220
Mademuasel [1]
Well the 2 in the tens place is ten times as many as the 2 in the hundreds place.Also the 5 in the thousand place is 10 times as many as the 5 in the ten thousand place
3 0
3 years ago
Read 2 more answers
Supriya invested $14,320 in a highly rated ETF. At the end of four years, she had $18,434. What was her annual effective yield o
adoni [48]

Answer:

6.517%

Step-by-step explanation:

This is a multi-year investment and we are not working with a $1 initial investment. There is no mention of compounding so we will use formula A=P0⋅(1+r)N with A=$18,434 and P0=$14,320. We do not know the value of r. However, N=4 years. Substituting the values we have $18,434=$14,320⋅(1+r)4. Divide both sides of the equation by $14,320. Next, take the fourth root of both sides of the equation and subtract 1 to find the decimal form of r.

$18,4341.287291.065170.06517=$14,320⋅(1+r)4=(1+r)4=1+r=r

Finally, convert r to a percent.

r=0.06517×100%=6.517%

6 0
3 years ago
Radical 6x^2 multiplied by radical 18x^2
Alina [70]

Does radical mean square root?, because radical can mean square root, cube root, fourth root, etc.


Well, I'm going to assume that radical = square root

So, if you have two square root functions, you can multiply the numbers within the square root, so you now have \sqrt{48x^4}, which I'm not sure if you want it simplified or not

6 0
3 years ago
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