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lapo4ka [179]
3 years ago
6

Full-time ph.d. students receive an average of $12,837 per year with a standard deviation of $3000. find the probability that th

e average salary of a group of 16 randomly selected ph.d. students is more than $13,000.

Mathematics
1 answer:
Ainat [17]3 years ago
7 0
It is about 41.4% according to my TI-83/84 calculator.

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A house on the market was valued at $295,000. After several years, the value increased by 8%. By how much did the house's value
Harlamova29_29 [7]

Answer: $23,600. ; $318,600

Step-by-step explanation:

From the question, we are informed that a house on the market was valued at $295,000 and after several years, the value increased by 8%.

The value of the increase will be 8% of $295,000. This can be mathematically written as:

= 8% of $295,000

= 8/100 × $295,000

= 0.08 × $295,000

= $23,600

The current value of the house will be:

= $295,000 + $23,600

= $318,600

8 0
3 years ago
Rachel runs 6 miles in 45 minutes. At the same rate how many minutes would she take to run 4 miles?
exis [7]
Rachel would take 30 minutes to run in 4miles
7 0
3 years ago
Read 2 more answers
A baker buys 19 apples of two different varieties to make pies. The total cost of the apples is $5.10. Granny Smith apples cost
Natasha2012 [34]

The baker bought 7 gala apples, and 12 granny smiths apples

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

Let "x" be the number of gala apples bought

Let "y" be the number of granny smith apples bought

Cost of 1 gala apple = $ 0.30

Cost of 1 granny smith apple = $ 0.25

<em><u>A baker buys 19 apples of two different varieties to make pies</u></em>

Therefore,

number of gala apples bought + number of granny smith apples bought = 19

x + y = 19 --------- eqn 1

<em><u>The total cost of the apples is $5.10</u></em>

Therefore, we can frame a equation as:

number of gala apples bought x Cost of 1 gala apple + number of granny smith apples bought x Cost of 1 granny smith apple = 5.10

x \times 0.30 + y \times 0.25 = 5.10

0.3x + 0.25y = 5.1 -------- eqn 2

<em><u>Let us solve eqn 1 and eqn 2</u></em>

From eqn 1,

x = 19 - y ---------- eqn 3

<em><u>Substitute eqn 3 in eqn 2</u></em>

0.3(19 - y) + 0.25y = 5.1

5.7 - 0.3y + 0.25y = 5.1

5.7 - 0.05y = 5.1

0.05y = 5.7 - 5.1

0.05y = 0.6

y = 12

<em><u>Substitute y = 12 in eqn 3</u></em>

x = 19 - 12

x = 7

Thus the baker bought 7 gala apples, and 12 granny smiths apples

6 0
3 years ago
21X 33 check answers with reminders
rosijanka [135]

Answer: 693

it is 693 because...

I couldn't really explain with words so I gave you a step by step of my work.

8 0
3 years ago
Solve the equation.<br> у+ 3 = -у +9<br> y=1<br> y= 3<br> y= 6<br> y= 9
Anna007 [38]
The first y equals -3 and the second y equals -9
8 0
3 years ago
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