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mixas84 [53]
3 years ago
7

Find (fog)(x).

Mathematics
1 answer:
azamat3 years ago
3 0

Answer:

\large\boxed{(f\circ g)(x)=-15x+14}

Step-by-step explanation:

f(x)=-5x+9\\\\g(x)=3x-1\\\\(f\circ g)(x)=f\bigg(g(x)\bigg)-\text{put}\ x=g(x)\ \text{in}\ f(x):\\\\(f\circ g)(x)=-5(g(x))+9=-5(3x-1)+9\qquad\text{use the distributive property}\\\\=(-5)(3x)+(-5)(-1)+9=-15x+5+9=-15x+14

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kolezko [41]
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4 years ago
Assume that a sample is used to estimate a population proportion μ . Find the margin of error M.E. that corresponds to a sample
hichkok12 [17]

Answer:

MoE = 1.645\cdot \frac{13.1}{\sqrt{772} } \\\\MoE = 1.645\cdot 0.47147\\\\MoE = 0.776\\\\

Step-by-step explanation:

Since the sample size is quite large, we can use the z-distribution.

The margin of error is  given by

$ MoE = z_{\alpha/2}(\frac{s}{\sqrt{n} } ) $

Where n is the sample size, s is the sample standard deviation and z_{\alpha/2} is the z-score corresponding to a 90% confidence level.

The z-score corresponding to a 90% confidence level is

Significance level = α = 1 - 0.90= 0.10/2 = 0.05

From the z-table at α = 0.05

z-score = 1.645

MoE = 1.645\cdot \frac{13.1}{\sqrt{772} } \\\\MoE = 1.645\cdot 0.47147\\\\MoE = 0.776\\\\

Therefore, the margin of error is 0.776.

3 0
3 years ago
17 The table shows some information about the dress sizes of 25 women.
eimsori [14]

Answer:

8.5 or 8½

Step-by-step explanation:

Arranged numbers in ascending order

2, 6, 8, 8, 9, 10, 12, 14

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Therefore median = 8 + 9 divided by 2

= 17 divided 2

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Answers = 8.5 or 8½

6 0
3 years ago
The difference between two numbers is 3. the sum of the two numbers is 21. what is the product of the two numbers
MrRissso [65]

Step-by-step explanation:

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8 0
2 years ago
A city has a population of 280,000 people. Suppose that each year the population grows by 8.5% what will the population be in 8
r-ruslan [8.4K]

Answer:

Step-by-step explanation:

Population= 280000 people

Population growth rate= 8.5%

Population growth in a year=

{(100+8.5)÷100} × 280000 =303800 people

Pop growth in 8 years =

303800×8=

2,430,400 people ‍‍‍‍

3 0
3 years ago
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