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3 years ago

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Marisa puts a cup of hot chocolate in her microwave oven. She knows that the final temperature of the hot chocolate will be a fu

nction of the number of seconds she heats it. Marisa names this function Temperature(seconds), and she abbreviates it as T(s).

1 answer:

kkurt [141]3 years ago

7 0

B.
Because the input is time.
That narrows it down to B & C.
The time is in seconds. B.

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Suppose that you were not given the sample mean and sample standard deviation and instead you were given a list of data for the

Troyanec [42]

Answer:

So, the sample mean is 31.3.

So, the sample standard deviation is 6.98.

Step-by-step explanation:

We have a list of data for the speeds (in miles per hour) of the 20 vehicles. So, N=20.

We calculate the sample mean :

$\mu=\frac{19 +19 +22 +24 +25 +27 +28+ 37 +35 +30+ 37+ 36+ 39+ 40+ 43+ 30+ 31+ 36+ 33+ 35}{20}\\\\\mu=\frac{626}{20}\\\\\mu=31.3$

So, the sample mean is 31.3.

We use the formula for a sample standard deviation:

$\sigma=\sqrt{\frac{1}{N-1}\sum_{i=1}^{N}(x_i-\mu)^2}$

Now, we calculate the sum

$\sum_{i=1}^{20}(x_i-31.3)^2=(19-31.3)^2+(19-31.3)^2+(22-31.3)^2+(24-31.3)^2+(25-31.3)^2+(27-31.3)^2+(28-31.3)^2+(37-31.3)^2+(35-31.3)^2+(30-31.3)^2+(37-31.3)^2+(36-31.3)^2+(39-31.3)^2+(40-31.3)^2+(43-31.3)^2+(30-31.3)^2+(31-31.3)^2+(36-31.3)^2+(33-31.3)^2+(35-31.3)^2\\\\\sum_{i=1}^{20}(x_i-31.3})^2=926.2\\$

Therefore, we get

$\sigma=\sqrt{\frac{1}{N-1}\sum_{i=1}^{N}(x_i-\mu)^2}\\\\\sigma=\sqrt{\frac{1}{19}\cdot926.2}\\\\\sigma=6.98$

So, the sample standard deviation is 6.98.

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2 years ago

How many times will interest be added to the principal in 1 year if the interest is compounded annually?

jeka57 [31]

If it's compounded annually, it basically means the interest rate will apply once a year.

So the answer will be 1.

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3 years ago

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How did Alexander Hamilton steal british cannons?

Leni [432]

Answer:

Hamilton appeared he handed Mulligan a gun, took the rope and pulled the cannon toward American lines. Step-by-step explanation:

i looked it up

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2 years ago

Help soon eeeeeeeeeeeeeeeeeee

igomit [66]

3/9 because it is the same as 1/3 or 2/6.

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3 years ago

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The temperature in some region of Alaska equals 15 F. Convert this temperature to Celsius.

sergij07 [2.7K]

The formula you need to use is C = 5/9•(F - 32)

So take 15 and subtract 32: 15-32 = -17
Then multiply that by 5/9: 5/9•(-17) ≈ -9.44

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3 years ago