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Mnenie [13.5K]
3 years ago
11

Given h(x) = (3x-4), f(x) = (7x+2), and g(x) = (9x+1), which of the following is equivalent to 2x+3?

Mathematics
2 answers:
Lelu [443]3 years ago
5 0
A) h(x)+g(x)=(3x-4)+<span>(9x+1)=12x-3
B) </span>g(x) + f(x)=(9x+1)+<span>(7x+2)=16x+3
C) g(x)*h(x)= (9x+1)(3x-4)=27x²+3x-36x-4=27x²-33x-4
D)h(x)-g(x)=(3x-4)-(9x+1)= - 6x -5

if f(x)= -7x +2
B) g(x)+f(x)=(9x+1)+(-7x+2)=9x-7x+1+2=2x+3
answer B
</span>
VikaD [51]3 years ago
3 0

Answer:

B.

Step-by-step explanation:

the answer is b g(x)+f(x)

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The blood platelet counts of a group of women have a​ bell-shaped distribution with a mean of 247.9 and a standard deviation of
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Answer:

A) Approximate percentage of women with platelet counts within 2 standard deviations of the​ mean, or between 118.5 and 377.3 = 95%

B) approximate percentage of women with platelet counts between 53.8 and 442.0 = 99.7%

Step-by-step explanation:

We are given;

mean;μ = 247.9

standard deviation;σ = 64.7

A) We want to find the approximate percentage of women with platelet counts within 2 standard deviations of the​ mean, or between 118.5 and 377.3.

Now, from the image attached, we can see that from the empirical curve, the probability of 1 standard deviation from the mean is (34% + 34%) = 68 %.

While probability of 2 standard deviations from the mean is (13.5% + 34% + 34% + 13.5%) = 95%

Thus, approximate percentage of women with platelet counts within 2 standard deviations of the​ mean, or between 118.5 and 377.3 = 95%

B) Now, we want to find the approximate percentage of women with platelet counts between 53.8 and 442.0.

53.8 and 442.0 represents 3 standard deviations from the mean.

Let's confirm that.

Since mean;μ = 247.9

standard deviation;σ = 64.7 ;

μ = 247.9

σ = 64.7

μ + 3σ = 247.9 + 3(64.7) = 442

Also;

μ - 3σ = 247.9 - 3(64.7) = 53.8

Again from the empirical curve attached, we cans that at 3 standard deviations from the mean, we have a percentage probability of;

(2.35% + 13.5% + 34% + 34% + 13.5% + 2.35%) = 99.7%

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