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2 years ago

9

Find the x-intercept and y-intercept of the line 4x - 3y= -12.

1 answer:

ladessa [460]2 years ago

5 0

Answer:

x=3/4y+13 y=4/3x-4

Step-by-step explanation:

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In a study of government financial aid for college students, it becomes necessary to estimate the percentage of full-time coll

ICE Princess25 [194]

Answer:

a) n = 1037.

b) n = 1026.

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 level of $1-\alpha$ , 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:

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

99% confidence level

So $\alpha = 0.01$ , z is the value of Z that has a pvalue of $1 - \frac{0.01}{2} = 0.995$ , so $Z = 2.575$ .

(a) Assume that nothing is known about the percentage to be estimated.

We need to find n when M = 0.04.

We dont know the percentage to be estimated, so we use $\pi = 0.5$ , which is when we are going to need the largest sample size.

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

$0.04 = 2.575\sqrt{\frac{0.5*0.5}{n}}$

$0.04\sqrt{n} = 2.575*0.5$

$(\sqrt{n}) = \frac{2.575*0.5}{0.04}$

$(\sqrt{n})^{2} = (\frac{2.575*0.5}{0.04})^{2}$

$n = 1036.03$

Rounding up

n = 1037.

(b) Assume prior studies have shown that about 55% of full-time students earn bachelor's degrees in four years or less.

$\pi = 0.55$

So

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

$0.04 = 2.575\sqrt{\frac{0.55*0.45}{n}}$

$0.04\sqrt{n} = 2.575*\sqrt{0.55*0.45}$

$(\sqrt{n}) = \frac{2.575*\sqrt{0.55*0.45}}{0.04}$

$(\sqrt{n})^{2} = (\frac{2.575*\sqrt{0.55*0.45}}{0.04})^{2}$

$n = 1025.7$

Rounding up

n = 1026.

6 0

2 years ago

14. Lara bought gift cards to give as gifts. She bought some $20 movie

lubasha [3.4K]

Answer:

21

Step-by-step explanation:

The x intercept is represented by the coordinate (x,0) on x axis.

So, to find the x intercept ,we need to equate y=0 in the equation 20x+70y=420

=> 20x+ 70*0=420

=> x=420/20 =21.

x intercept is (21,0).

7 0

2 years ago

Read 2 more answers

Kevin is observing the population of the fish he put into a pond. He built a pond and populated it with 500 fish. The population

laila [671]

Here we will use exponential form, which is

$y = y_{0} e^{kt}$

Initial value, y0 = 500

Double of 500 = 1000

$1000 = 500e^{k*1}$

$2 = e^k$

$k= ln (2)$

Required equation is

$y=500e^{x ln2} \\ y= 500 (2)^x$

6 0

3 years ago

PLEASEE HELPP....Simplify the expression using properties of exponents.

Aleks04 [339]

Answer:

D

Step-by-step explanation:

Using the rule of exponents

$\frac{a^{n} }{a^{m} }$ = $\frac{1}{a^{(m-n)} }$

Given

$\frac{25a^{-5}b^{-8} }{5a^{4}b }$

= $\frac{25}{5}$ × $\frac{a^{-5} }{a^{4} }$ × $\frac{b^{-8} }{b^{1} }$

= 5 × $\frac{1}{a^{(4-(-5))} }$ × $\frac{1}{b^{(1-(-8))} }$

= 5 × $\frac{1}{a^{9} }$ × $\frac{1}{b^{9} }$

= $\frac{5}{a^{9}b^{9} }$ → D

5 0

2 years ago

How many 8th graders would have to stand in the stack to reach the moon?

slamgirl [31]

You would have to know the height of the 8th graders

7 0

2 years ago

Read 2 more answers