First, multiply 75 by 8 to get 600.
Then multiply 1/3 by 8 to get 8/3 or 2 2/3.
Add those together to get 602 2/3.

Next multiply 1/3 by 3/4 by multiplying the numerator by 3 and the denominator by 4. That is 3/12. Also known as 1/4.
Multiply 75 by 3/4 by dividing it by 4 then multiplying it by 3. That is 56 1/4.
Add 56 1/4 and 1/4 together to get 56 1/2.

Lastly, add together 56 1/2 and 602 2/3.
Convert the fractions to sixths.
56 3/6 + 602 4/6 = 659 1/6 miles
Hope this helps!

6 0

3 years ago

A family decides to put tiles in the entryway of their home. The entryway has an area of 7 square meters. If each tile is 5 cent

lyudmila [28]

9514 1404 393

Answer:

2800 tiles

Step-by-step explanation:

Each tile has an area of (0.05 m)² = 0.0025 m². Then the number of tiles required to cover 7 square meters is ...

(7 m²)/(0.0025 m²/tile) = 2800 tiles

It will take 2800 tiles to cover the entryway.

8 0

3 years ago

You are conducting a study to see if the proportion of voters who prefer Candidate A is significantly more than 47%. With Ha : p

rodikova [14]

Answer:

The p-value is 0.0229

Step-by-step explanation:

With $H_{a}: p > 0.47$ we have an upper-tail alternative. Because the p-value is defined as the probability of getting a value at least as extreme as the value observed. The observed value is given by the test statistic z = 1.997 which comes from a standard normal distribution. Therefore, we compute the p-value in the following way P(Z > 1.997) = 0.0229, i.e., the p-value is 0.0229

3 0

3 years ago