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Bond [772]
2 years ago
9

Beth's family is on a road trip. After driving for a while, they stopped for gas, and then traveled 65 1/4 more miles before the

y decided to stop for lunch. After lunch, they tripled their distance traveled before stopping for the night. Their total distance traveled that day was 372 miles. How many miles had they traveled before their first stop for gas? Enter your answer as a simplified mixed number in the box.
Mathematics
2 answers:
marysya [2.9K]2 years ago
7 0

Answer:

58 3/4 I just took the test

Salsk061 [2.6K]2 years ago
7 0

Answer:

58 3/4

Step-by-step explanation:

i just took the test on k-12

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3 years ago
An Article a Florida newspaper reported on the topics that teenagers most want to discuss with their parents. The findings, the
Sergio039 [100]

Answer:

The estimate is  P__{hat}} \pm E  = 0.37 \pm 0.0348

Step-by-step explanation:

From the question we are told that  

    The sample size is  n =  522

    The sample proportion of students  would like to talk about school is  \r p__{hat}} =  0.37

  Given that the confidence level is  90 % then the level of significance can be mathematically evaluated as

                  \alpha  =  100 - 90

                  \alpha  =  10\%

                  \alpha  =  0.10

Next we obtain the critical value of  \frac{\alpha }{2} from the normal distribution table, the value is  

               Z_{\frac{\alpha }{2} } =Z_{\frac{0.10}{2} } =  1.645

Generally the margin of error can be mathematically represented as

               E =  Z_{\frac{\alpha }{2} } *  \sqrt{\frac{\r P_{hat}(1- \r P_{hat} )}{n } }

=>            E = 1.645 *  \sqrt{\frac{0.37 (1- 0.37  )}{522 } }

=>             E = 0.0348

Generally the estimate the proportion of all teenagers who want more family discussions about school at 90% confidence level is  

                       P__{hat}} \pm  E

substituting values

                     0.37 \pm 0.0348

5 0
3 years ago
Tristán wants to build a square garden in his backyard if the garden is going to be 64 ft2 how many feet of material will he nee
Alex777 [14]

Answer:

Tristan will need 32 feet of material for the perimeter of the garden.

Step-by-step explanation:

Given that

Area of square garden = A = 64 square feet

Perimeter = P = ?

We know that for calculation of perimeter, length of side of square is required which is not directly given in the question. The area will be used to calculate length of side and then length will be used to calculate the perimeter.

So,

Area = A = s^2

s is for side

Putting the value of area

64 = a^2

Taking square root on both sides

\sqrt{s^2} = \sqrt{64}\\s = 8\ feet

The length of side is 8 feet.

Perimeter will be:

P = 4*s\\P = 4*8\\P = 32\ feet

Hence,

Tristan will need 32 feet of material for the perimeter of the garden.

3 0
3 years ago
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