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3 years ago

Decomposition, find f(x) and g(x) so that the function can be

Mathematics

1 answer:

andrew11 [14]3 years ago

3 0

Answer:

steps below

Step-by-step explanation:

f(x) = x + 5

g(x) = x - 4

f(g(x)) = f(x-4) = (x-4) + 5

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Suppose a - b = 0a−b=0a, minus, b, equals, 0. Which one of these expressions equals ababa, b?

juin [17]

Ab=a² and ab=b².

Since a-b=0, this means that a=b.

For ab, we can rewrite this as a*a, which is a².

We can also write this as b*b, which is b².

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3 years ago

For women aged 18-24, systolic blood pressures are normally distributed with a mean of 114.8 mm Hg and a standard deviation of

NNADVOKAT [17]

Answer:

0.0579 is the probability that mean systolic blood pressure is between 119 and 122 mm Hg for the sample.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 114.8 mm Hg

Standard Deviation, σ = 13.1 mm Hg

Sample size = 23

We are given that the distribution of systolic blood pressures is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

Standard error due to sampling:

$\displaystyle\frac{\sigma}{\sqrt{n}} = \frac{13.1}{\sqrt{23}} = 2.731$

P(blood pressure is between 119 and 122 mm Hg)

$P(119 \leq x \leq 122) = P(\displaystyle\frac{119 - 114.8}{2.731} \leq z \leq \displaystyle\frac{122-114.8}{2.731}) = P(1.537 \leq z \leq 2.636)\\\\= P(z \leq 2.636) - P(z < 1.537)\\= 0.9958 - 0.9379 = 0.0579= 5.79\%$

$P(119 \leq x \leq 122) = 5.79\%$

0.0579 is the probability that mean systolic blood pressure is between 119 and 122 mm Hg for the sample.

8 0

2 years ago

Jamie takes 1/4 yard strips of ribbon and cuts them into pieces that are 1/3 the length. How long are the resulting pieces of ri

AleksandrR [38]

Answer: 1/12 yards

Step-by-step explanation:

The length of the pieces originally were 1/4 yards.

Jamie then cuts them into a 1/3 of their original length.

The new length is therefore:

= Original length * proportion of original length strips are cut into

= 1/4 * 1/3

= 1/12 yards

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2 years ago

What are the solutions to m2 – 9 = 0? m = –9 and m = 0 m = –3 and m = 3 m = –3 m = 9

Xelga [282]

The answer is m = 3, -3

4 0

3 years ago

Read 2 more answers

A number divided by -9 is 16. What is the missing number?

kondor19780726 [428]

X/(-9) = 16

x/(-9) x (-9) = 16(-9)

x = 16(-9)

x = - 144

hope this helps

7 0

3 years ago

Read 2 more answers