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S_A_V [24]
3 years ago
12

The mean salary of people living in a certain city is $37500 with a standard deviation of $1561. a sample of 33 people is select

ed at random from those living in the city. find the probability that the mean income of the sample is less than $38000.
Mathematics
1 answer:
Murrr4er [49]3 years ago
8 0
The probability is 0.9671.

The z-score for this is given by

z = (x - μ)/(σ/√n)
z = (38000-37500)/(1561/(√33)) = 1.84.

Using a z-table (http://www.z-table.com) we see that the area under the curve to the left of, less than, this is 0.9671.
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The total amount paid for vase is $ 41

<em><u>Solution:</u></em>

Given that

Cost of vase = $ 34.99

Shipping charge = 3 dollars

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To find: total amount paid for vase

total amount paid for vase = Cost of vase + Shipping charge + sales tax

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Given that 8.25 % was paid on the subtotal which included the shipping charge

Subtotal = 34.99 + 3 = 37.99

So 8.25 % of 37.99 was paid as sales tax

\text{ sales tax } = \frac{8.25}{100} \times 37.99 = 3.1341

Therefore sales tax amount paid = $ 3.1341

total amount paid for vase = Cost of vase + Shipping charge + sales tax

total amount paid for vase = 34.99 + 3 + 3.1341 = 41.1241 ≈ 41

Therefore total amount paid for vase is $ 41

8 0
3 years ago
Write the inequality that represents the sentence, ​"Six less than a number is greater than 53​."​
Fiesta28 [93]

Answer:

6<x>53

Step-by-step explanation:

x = number

6 is less than = 6<

greater than 53 = >53

put it all together

6<x>53

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Find missing angles
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3 years ago
Four friends paid a total of 32 dollars for movie tickets. What is the ratio 32 dollars for4 people written as a unit rate
coldgirl [10]
8 is the ratio for the unit rate
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3 years ago
Place the numbers 0 to 8, inclusive, in the magic square so that the sum of the numbers in each row, column, and diagonal is the
ehidna [41]

Answer: See attached table

Step-by-step explanation:

\begin{table}[]\begin{tabular}{lllll} &  &  &  &  \\ &  &  &  &  \\ &  &  &  &  \\ &  &  &  & \end{tabular}\end{table}+---+---+---+

| 1 | 8 | 2 |

+---+---+---+

| 6 | 4 | 2 |

+---+---+---+

| 5 | 0 | 7 |

+---+---+---+

<u>Proofs:</u>
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Second row: 8+4+0 = 12

Third row: 2+2+7 = 12

First column: 1+8+2 = 12

Second column: 6+4+2 = 12

Third column: 5+0+7 = 12

Diagonal starting from top left to bottom right: 1+4+7 = 12

Diagonal staring from top right to bottom left: 2+4+5 = 12

6 0
2 years ago
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