2 A grocery store receives a shipment of
700 oranges. The manager randomly
selects 25 oranges and finds that 2 of the
oranges are rotten. How many oranges in
the shipment can the manager predict to
be rotten?

Ask by Ramos Nunez. in the United States

Mar 20,2025

Question

2 A grocery store receives a shipment of
700 oranges. The manager randomly
selects 25 oranges and finds that 2 of the
oranges are rotten. How many oranges in
the shipment can the manager predict to
be rotten?

Ask by Ramos Nunez. in the United States

Mar 20,2025

UpStudy AI · Accepted Answer

Let the number of rotten oranges in the shipment be $$ R $$. The sample gives us the proportion:

$$
\frac{2 \text{ rotten oranges}}{25 \text{ oranges}} = \frac{R}{700}
$$

To solve for $$ R $$, we cross-multiply:

$$
25R = 700 \times 2
$$

$$
25R = 1400
$$

Now, divide both sides by 25:

$$
R = \frac{1400}{25} = 56
$$

Thus, the manager can predict that $$ 56 $$ oranges in the shipment are rotten.
The manager can predict that 56 oranges in the shipment are rotten.