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3 years ago

Identify the point (x1, y1) from the equation: y - 7 = 3 (x + 2)

Mathematics

1 answer:

Allisa [31]3 years ago

4 0

Answer:

(-2, 7)

Step-by-step explanation:

The equation of a line in point-slope forrm is expressed as;

y-y0 = m(x-x0)

y - 7 = 3 (x + 2)

Compare

-y0 = -7

Multiply through by -1

-(-y0) = -(-7)

y0 = 7

-x0 = 2

x0= -2

Hence the requires point is (x0,y0) =(-2, 7)

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Fuaad solved an absolute value inequality and expressed the solution as . What is another way to show Fuaad’s solution? For all

Ira Lisetskai [31]

Answer:

{x I - 12 < x < 7}

Step-by-step explanation:

Fuaad solved an absolute value inequality and expressed the solution as - 12 < x < 7.

So, the value of x lies between - 12 and 7 but not including - 12 and 7.

Option C will give another way to show Fuaad's solution.

It is {x I - 12 < x < 7}, which means x is a variable which belongs with in the interval (- 12, 7). (Answer)

4 0

3 years ago

You want to obtain a sample to estimate a population proportion. At this point in time, you have no reasonable estimate for the

Vesna [10]

Answer:

A sample size of at least 1,353,733 is required.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of , 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 .

The margin of error is:

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

98% confidence level

So $\alpha = 0.02$ , z is the value of Z that has a pvalue of $1 - \frac{0.02}{2} = 0.99$ , so $Z = 2.327$ .

You would like to be 98% confident that you esimate is within 0.1% of the true population proportion. How large of a sample size is required?

We need a sample size of at least n.

n is found when M = 0.001.

Since we don't have an estimate for the proportion, we use the worst case scenario, that is $\pi = 0.5$

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

$0.001 = 2.327\sqrt{\frac{0.5*0.5}{n}}$

$0.001\sqrt{n} = 2.327*0.5$

$\sqrt{n} = \frac{2.327*0.5}{0.001}$

$(\sqrt{n})^{2} = (\frac{2.327*0.5}{0.001})^{2}$

$n = 1353732.25$

Rounding up

A sample size of at least 1,353,733 is required.

5 0

3 years ago

How many ways can a committee of three people be selected from a group of 20?

Rainbow [258]

Answer:

120

Step-by-step explanation:

From 20, choose 3:

₂₀C₃ = 120

Here we use combinations instead of permutations because the order doesn't matter.

7 0

4 years ago

I really need some help

earnstyle [38]

Answer:

CEFA

Step-by-step explanation:

1. $p=2(2x)+2(3x+2)=4x+6x+4=10x+4$

2. $p=2(x)+2(4x+1)=2x+8x+2=10x+2$

3. $p=2(7)+2(x+5)=14+2x+10=2x+24$

4. $p=2(5)+2(4x-3)=10+8x-6=8x+4$

Hope this helps

6 0

2 years ago

A negative number multiplied by a negative number will result in a ___ product.

Shtirlitz [24]

Answer:

Positive product

Step-by-step explanation:

3 0

3 years ago

Identify the point (x1, y1) from the equation: y - 7 = 3 (x + 2)​

Identify the point (x1, y1) from the equation: y - 7 = 3 (x + 2)