Casey travels from her house directly west to the bank and then directly north from the bank to the mall. She then travels home on the road connecting the mall and her house. What is her total distance traveled?

Answers

Answer 1
Answer: distance travel from house to bank=x
distance travel from bank to mall=y
distance travel from mall to house=√x²+y²

total distance=|x|+|y|+√x²+y²

Answer 2
Answer:

Answer:

40 Miles is the answer

Step-by-step explanation:



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A quality-control manager for a company that produces a certain soft drink wants to determine if a 12-ounce can of a certain brand of soft drink contains 120 calories as the labeling indicates. Using a random sample of 10 cans, the manager determined that the average calories per can is 124 with a standard deviation of 6 calories. At the .05 level of significance, is there sufficient evidence that the average calorie content of a 12-ounce can is greater than 120 calories? Assume that the number of calories per can is normally distributed.

Answers

Answer:

We conclude that the average calorie content of a 12-ounce can is greater than 120 calories.

Step-by-step explanation:

We are given that a quality-control manager for a company that produces a certain soft drink wants to determine if a 12-ounce can of a certain brand of soft drink contains 120 calories as the labeling indicates.

Using a random sample of 10 cans, the manager determined that the average calories per can is 124 with a standard deviation of 6 calories.

Let \mu = average calorie content of a 12-ounce can.

So, Null Hypothesis,H_0 : \mu \leq 120 calories     {means that the average calorie content of a 12-ounce can is less than or equal to 120 calories}

Alternate Hypothesis, H_A : \mu > 120 calories     {means that the average calorie content of a 12-ounce can is greater than 120 calories}

The test statistics that would be used here One-sample t test statistics as we don't know about the population standard deviation;

                         T.S. =  (\bar X-\mu)/((s)/(√(n) ) )  ~ t_n_-_1

where, \bar X = sample average calories per can = 124 calories

             s = sample standard deviation = 6 calories

            n = sample of cans = 10

So, test statistics  =  (124-120)/((6)/(√(10) ) )  ~ t_9

                               =  2.108

The value of t test statistics is 2.108.

Now, at 0.05 significance level the t table gives critical value of 1.833 at 9 degree of freedom for right-tailed test. Since our test statistics is more than the critical values of t as 2.108 > 1.833, so we have sufficient evidence to reject our null hypothesis as it will in the rejection region due to which we reject our null hypothesis.

Therefore, we conclude that the average calorie content of a 12-ounce can is greater than 120 calories.

Do these pairs of values (x and y) represent two quantities that are proportional?HELP ME PLEASE

Answers

Yes, it is proportional. The answer would be B.

Explanation:

The common difference in the X factors is 2, and t he common difference in the y factors is 1.

Answer:

its b but i am not sure because my text was different

Convert 32/5 to a mixed number.

Answers

The mixed form of the factor 32/5 will be 6²/₅.

To convert the fraction 32/5 to a mixed number, we need to find the whole number part and the fractional part.

Divide the numerator (32) by the denominator (5) to find the whole number part. In this case, 32 divided by 5 equals 6 with a remainder of 2.

The quotient, 6, represents the whole number part of the mixed number.

The remainder, 2, represents the numerator of the fractional part.

The denominator remains the same.

Putting it all together, the mixed number representation of 32/5 is 6 and 2/5.

So, 32/5 is equal to 6 and 2/5.

To know more about mixed numbers follow

brainly.com/question/18120044

#SPJ6

Answer:

6 2/5

Step-by-step explanation:

6×5= 30 + 2= 32

I hope this helps in any way.

(9,0) (3,-4) slope??

Answers

Answer:

2/3

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

formula: y2-y1/x2-x1

-4-0/3-9=

-4/-6=

2/3

radio station KROQ broadcast in all directions to a distance of 40 miles how many square miles are in the stations broadcast area

Answers

\bf \textit{area of a circle}\n\n A=\pi r^2~ \begin{cases} r=radius\n[-0.5em] \hrulefill\n r=40 \end{cases}\implies A=\pi (40)^2\n\n\n A=1600\pi \implies A\approx \stackrel{mi^2}{5026.5}

If somebody answered my question i will give them thanks and brill and vote

Answers

Answer:

which out of those you want answer for? happy to help

Step-by-step explanation: