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kari74 [83]
3 years ago
11

A Restaurant buys 50 pound of beef at 1.12 per pound and 24 quarts of milk at .90 quarts. How much money was spent

Mathematics
2 answers:
Anika [276]3 years ago
5 0

Answer:

<em>The total amount that was spent is </em><em>$77.60</em>

Step-by-step explanation:

Given

Let SB represent the size of beef

SB = 50 pound

Let CB represent the cost of milk

CB = $1.12 per pound

Let SM represent the size of milk

SM = 24 quarts

Let CM represent the cost of milk

CM = $0.90 per quart

<u>To calculate the total amount that was spent, </u>

<em>Total amount spent is calculated by adding total amount spent on beef and total amount spent on milk. To do that, we make use of  the following expression</em>

Total spending = SB * CB + SM * CM

By substituting the right values, we'll get the total amount spent

SB = 50 pound

CB = $1.12 per pound

SM = 24 quarts

CM= $0.90 per quart

So, Total Spending = 50 pound * $1.12 per pound + 24 quarts * $0.90 per quart

Total Spending = $56.00 + $21.60

Total Spending = $77.60

<em>Hence, the total amount that was spent is </em><em>$77.60</em>

velikii [3]3 years ago
3 0

Answer:

$77.60

Hope this helps ^-^

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Calculate the mean, the variance, and the standard deviation of the following discrete probability distribution. (Negative value
asambeis [7]
<h2>Answer:</h2>

Mean = 24.47

Variance = 108.31

Standard deviation = 10.41

<h2>Step-by-step explanation:</h2>

The probability distribution table has been attached to this response.

<em>(1) To calculate the mean (m)</em>

(a) First multiply each of the values of x by their corresponding probability values.

This is shown in the third column of the table.

(b) The sum of the results in the third column gives the mean of the distribution. i.e

m = ∑xP(x) = 11.52 + 9.36 + 3.15 + 0.44

m = 24.47

<em>(2) To calculate the variance </em> <em>(σ²).</em>

(a) First find the square of the difference between the values of x and the mean (m) calculated in (1b) above. i.e

(x - m)²

The result is shown in the fourth column of the table.

(b) Next, multiply each of the results in the fourth column (x - m)², by their corresponding probability values P(X = x). i.e

(x - m)²(P(X = x))

The result is shown in the fifth column of the table.

(c) Now find the variance (σ²) which is the sum of the results in the fifth column. i.e

σ² = ∑(x - m)²(P(X = x)) = 42.5411 + 0.8427 + 18.8330 + 46.0923

σ² = 108.3091

σ² = 108.31      [to 2 decimal places]

<em>(3) To calculate the standard deviation (σ)</em>

The standard deviation is the square root of the variance of the distribution. Calculate this by finding the square root of the result in (2c) above.

σ = √σ²

σ = \sqrt{108.31}

σ = 10.4072

σ = 10.41        [to 2 decimal places]

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