Question

b. about how many out of 3000 pistons will likely have defects?
3000 ÷ 250 = · 8 = pistons

c. pistons sell for $35. it costs $25 to make a piston.
how much profit will the manufacturer make on 3000 pistons.
$35(3000 − ____) − $25(3000) = $____

exploration page 54
use the exploration in your textbook to complete problems 9 and 10

practice page 55

in problems a–d as impossible, unlikely, as likely as not, likely, or certain.

even number on a number cube. ______
numbers on a number cube. the even numbers are 2, 4, and 6.

hemisphere, the temperature will get above 90°f in july. ______
is in the northern hemisphere.

sonya meets is left-handed. ______
t handed.

tting average of .875 gets a hit his next time at bat. ______
more than half.

each probability as a fraction and as a percent.

Explanation:

Part b

Step1: Calculate 3000 ÷ 250

To find how many groups of 250 are in 3000, we perform the division: \( 3000\div250 = 12 \)

Step2: Multiply the result by 8

Now, multiply 12 by 8 to find the number of defective pistons: \( 12\times8 = 96 \)

Step1: Identify the number of defective pistons

From part b, we know the number of defective pistons is 96. So we substitute this value into the profit formula. The number of non - defective pistons is \( 3000 - 96 \).

Step2: Calculate the profit

First, calculate the revenue from non - defective pistons: \( \$35\times(3000 - 96)=\$35\times2904=\$101640 \)
Then, calculate the cost of making 3000 pistons: \( \$25\times3000=\$75000 \)
Now, calculate the profit: \( \$101640-\$75000=\$26640 \)
Alternatively, using the formula \( \$35(3000 - 96)-\$25(3000) \)
First, expand the formula: \( 35\times3000-35\times96 - 25\times3000=(35 - 25)\times3000-35\times96=10\times3000 - 3360=30000 - 3360 = 26640 \)

Answer:

\( 3000\div250=\boldsymbol{12}\cdot8=\boldsymbol{96} \) pistons

Part c