All categories

1 month ago

Mrs. Dimitri purchased a case of yogurt cups. Out of every 10 yogurt cups, 6 are strawberry.

Mathematics

1 answer:

Inessa [12.5K]1 month ago

8 0

Answer:

1) The proportion of yogurt cups that are strawberry is 18/30. (True)

2) There are a total of 60 strawberry yogurt cups. (False)

3) 60% of the yogurt cups are strawberry. (True)

4) 30% of the yogurt cups are NOT strawberry. (False)

Step-by-step explanation

Total number of yogurt cups = 30

For every 10, there are 6 that are strawberry.

Thus, for all 30 cups, the total number of strawberry cups is 18.

1) The proportion of yogurt cups that are strawberry is represented by the total number of strawberry cups divided by the total number of cups, which is 18/30.

2) Stating there are 60 strawberry yogurt cups is inaccurate since the total yogurt cups is 30 with only 18 being strawberry.

3) 60% of the yogurt cups are strawberry, calculated as 18/30 * 100% = 60%.

4) The percentage of yogurt cups that are NOT strawberry is 30%, calculated as the remainder: 100% - 60% = 40%.

You might be interested in

You are hiking and trying to determine how far away the nearest cabin is, which happens to be due north from your current positi

PIT_PIT [12445]

Answer:

The cabin is located 567 yards away.

Step-by-step solution:

The bearing angle of 21.2° corresponds to the interior angle near the cabin in the triangle.

Apply the tangent function:

Opposite side length: 220 yards

Adjacent side length: x (distance to cabin)

tan(21.2°) = opposite / adjacent

tan(21.2°) = 220 yards / x

Multiply both sides by x:

x × tan(21.2°) = 220 yards

Isolate x:

x = 220 yards / tan(21.2°)

x = 220 / 0.388

x = 567 yards

Hence, the cabin is 567 yards away.

6 0

2 months ago

The probabilities are 0.4, 0.2, 0.3 and 0.1, respectively, that a delegate to a certain convention arrived by air, bus, automobi

Zina [12379]

Answer:

Refer to the solution provided.

Step-by-step explanation:

5 0

1 month ago

A tobacco company claims that the amount of nicotine in its cigarettes is a randomvariable with mean 2.2 mg and standard deviati

PIT_PIT [12445]

Response:

0.0000

Unusual

To explain step-by-step:

A tobacco company asserts that the nicotine content in its cigarettes behaves as a random variable with a mean of 2.2 mg and a standard deviation of.3 mg.

This means the population parameters are

$\mu =2.2 \\s = 0.3$

The likelihood that the sample average would equal or exceed 3.1

$=P(X\geq 3.1)\\=P(Z\geq \frac{3.1-2.2}{\frac{0.3}{\sqrt{100} } } )\\=P(Z\geq 30)\\$

equals 0.0000

8 0

1 month ago

A frog is sitting exactly in the middle of a board that is five feet long. Every ten seconds he jumps one foot to the left or on

PIT_PIT [12445]

Answer:

Given that the frog jumps every 10 seconds

(using digits from a random number table)

It requires 7 jumps with 2 in the reverse direction (either left or right) for the frog to get off the board in 60 seconds.
Alternatively, 3 jumps in the same direction will also lead to the frog being off the board.
Furthermore, it would take 5 jumps with one in the opposite direction within the time limit of 60 seconds to leave the board.

Step-by-step explanation:

A frog positioned right at the center of a 5ft long board is 2.5 ft away from either edge.

Every 10 seconds, the frog jumps left or right.

If the frog's jumps are LLRLRL, it will remain on the board at the leftmost square.

If it jumps as LLRLL, it will jump off the board after fifty seconds.

Given that the frog jumps every 10 seconds

(using digits from a random number table)

It requires 7 jumps with 2 in reverse direction (either left or right) for the frog to get off the board in 60 seconds.
Alternatively, 3 jumps in the same direction will also lead to the frog being off the board.
Furthermore, it would take 5 jumps with one in the opposite direction within the time limit of 60 seconds to leave the board.

4 0

1 month ago

Round 5370288 to the nearest 100,000

Leona [12618]

5400000, since the 7 rounds the 8 up to 4.

7 0

1 month ago

Read 2 more answers