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KonstantinChe [14]
2 years ago
10

Find f(-2) for f(x)=3•2^x

Mathematics
1 answer:
8_murik_8 [283]2 years ago
5 0

Answer:

0.75 or 3/4

Step-by-step explanation:

f(-2) = 3•2^-2

f(-2) = 3•0.25

f(-2) = 0.75 or 3/4

Hope this helps! :)

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The SAT mathematics scores in the state of Florida for this year are approximately normally distributed with a mean of 500 and a
Greeley [361]
<u></u><u>The correct answer is 47.5%, or 0.475.</u>

Explanation:
The empirical rule states that in any normal distribution:

68% of data will fall within 1 standard deviation of the mean;
95% of data will fall within 2 standard deviations of the mean; and
99.7% of data will fall within 3 standard deviations of the mean.

The mean is 500 and the standard deviation is 100.  This means that 700 is 2 standard deviations away from the mean:

(700-500)/100=200/100=2.

We know that 95% of data will fall within 2 standard deviations from the mean.  However, included in the 95% is data less than the mean and greater than the mean.  Since we are only concerned with the scores from 500 to 700, we only want the half that is greater than the mean:

95/2 = 47.5%, or 0.475.
8 0
3 years ago
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Evaluate the following double integral: xy dA D where the region D is the triangular region whose vertices are (0, 0), (0, 3), (
natulia [17]

Answer:

I= 84

Step-by-step explanation:

for

I=\int\limits^{}_{} \int\limits^{}_D {x*y}  \, dA =  \int\limits^{}_{} \int\limits^{}_D {x*y}  \, dx*dy

since D is the rectangle such that 0<x<3 , 0<y<3

I=\int\limits^{}_{} \int\limits^{}_D {x*y}  \, dA =  \int\limits^{3}_{0} \int\limits^{3}_{0} {x*y}  \, dx*dy =  \int\limits^{3}_{0} {x}  \, dx\int\limits^{3}_{0} {y}  \, dy  = x^{2} /2*y^{2} /2 =  (3^{2} /2 - 0^{2} /2)* (3^{2} /2 - 0^{2} /2) = 3^{4} /4 = 81/4

4 0
2 years ago
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abruzzese [7]

Answer:

1N

Step-by-step explanation:

Assuming acceleration of gravity=10m/s²

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2 years ago
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weqwewe [10]

Answer:

The correct option is D

66°

Step-by-step explanation:

Given that ∠PTQ ≅ ∠RTS

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But also, ∠PTQ ≅ ∠RTS

Therefore ∠PTQ = 66°

and the measure of the arc PQ = ∠PTQ

Therefore, measure of the arc PQ is 66°.

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Step-by-step explanation:

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