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andreyandreev [35.5K]
3 years ago
8

F(x)=3x+2 and g(x)=-2x-4, find h(x) = f(x)-g(x)

Mathematics
1 answer:
elena-14-01-66 [18.8K]3 years ago
6 0

Answer:

5x-2

Step-by-step explanation:

Since f(x)-g(x) you take 3x+2 and subtract -2x-4.

3x+2+2x-4

5x-2

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We are studying the proportion of cities that have private garbage collector. We want a maximum error of 0.10 and a 95% confiden
True [87]

Answer:

The minimum number of cities we need to contact is 96.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence interval 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

Z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

The margin of error is:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

95% confidence interval

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

In this problem, we have that:

p = 0.5, M = 0.1

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.1 = 1.96*\sqrt{\frac{0.5*0.5}{n}}

0.1\sqrt{n} = 0.98

\sqrt{n} = 9.8

(\sqrt{n})^{2} = (9.8)^{2}

n = 96

The minimum number of cities we need to contact is 96.

8 0
3 years ago
"to find x in part a, you would need" to solve the equation x 2 – 25 =0. wh
musickatia [10]
X2 - 25 = 0

Add 25 on each side.

x2 = 25

Divide by 2 on each side.

x = 12.5
3 0
3 years ago
How to do this in a 6th grade way
il63 [147K]

Answer:

4 2/3 - 1 2/3 and just keep doing that until you get to 0 it would take 3 days

Step-by-step explanation:

4 2/3 - 1 2/3=3

3- 1 2/3= 1 1/3

1 1/3- 1 2/3 = -1/3

6 0
3 years ago
The variables y and x have a proportional relationship, and y = 5 when x = 4. What is the value of x when y = 8? Enter your answ
Charra [1.4K]

Answer

Find out the what is the value of x when y = 8 .

To prove

As given

The variables y and x have a proportional relationship.

y \propto x

y = kx

Where k is the constant of proportionality.

As y = 5 when x = 4

Put in the above

5 = 4k

k = \frac{5}{4}

Now find out the value of x , when y = 8

8 = \frac{5\times x}{4}

x = \frac{8\times 4}{5}

x= 6.5

Therefore when y = 8 than x = 6.4

7 0
3 years ago
Read 2 more answers
Solve the following equation <br>14 + 6x = 2 ​
sweet-ann [11.9K]

Answer:

x=-2

Step-by-step explanation:

14+6x=2

Then u move 14 to the other side since it doesn't have a a variable and 2 doesnt also there both just numbers so 14 moved to the otehr side will be -14 so 6x=2-14

6x=-12

x=-12/6=-2

6 0
3 years ago
Read 2 more answers
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