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Jlenok [28]
3 years ago
15

if you pour a cup of coffee that is 200'F, and set it on a desk in a room that is 68'F, and 10 minutes later it is 145'F, what t

emperature will it be 15 minutes after you originally poured it?
Mathematics
1 answer:
Dima020 [189]3 years ago
5 0
It would be 127'F after 15 minutes in the 68'F room.
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Why are the solutions to the proportions 40/8 = x/10 and x/40 = 10/8 the same?
romanna [79]

Answer:

Both proportions are equivalent.

Step-by-step explanation:

We have been given two proportions \frac{40}{8}=\frac{x}{10} and \frac{x}{40}=\frac{10}{8}. We are asked to find why the solutions to our given proportions are equal.

We can solve proportions by cross multiplying them.

After cross multiplying our both proportions we will get same equation that is:

40*10=8*x

400=8x

8*x=40*10

8x=400

Since we get same equation after cross multiplying both proportions, therefore, the solutions to the given proportions would be same.

4 0
3 years ago
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The proportion of items in a population that possess a specific attribute is known to be 0.45. a. If a simple random sample of s
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Answer: 0.05

Step-by-step explanation:

  • Sampling error is the error occurs by considering sample for study instead of entire population.

Given : The proportion of items in a population that possess a specific attribute is known to be 0.45.

Sample size : n= 100

Sample proportion of items in a population that possess a specific attribute : \hat{p}=0.48

Now, the formula to find the sampling error :

\text{Sampling error} =\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}

\text{Sampling error} =\sqrt{\dfrac{0.48(1-0.48)}{100}}

=\sqrt{\dfrac{0.48(0.52)}{100}}\\\\=\sqrt{0.002496}\approx0.05

Hence, the sampling​ error =0.05

4 0
2 years ago
Simplify 4(4a+5b-3)
stiks02 [169]
You times 4 by everything inside the parentheses, so the answer would be as follows. 16a + 20b - 12
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3 years ago
The volumes of two similar solids are 1331 m3 and 216 m3. the surface area of the larger solid is 324 m3. what is the surface ar
zavuch27 [327]
Two solids are said to be similar when their corresponding sides and angles are proportional and congruent. Since the solids here are similar, we calculate as follows:

Assuming the solid is a sphere
V1/V2 = r1^3 / r2^3 = 1331/216 = 6.16203
r1/r2 = 11/6

A1/A2 = (r1/r2)^2
324/A2 = (11/6)^2
A2 = 42.84 m^2
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3 years ago
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The difference between x and half of y
Nataliya [291]
You could do y÷2-x to get x - half of y
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3 years ago
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