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3 years ago

How to solve this equation?

Mathematics

2 answers:

mafiozo [28]3 years ago

4 0

$\bf 5(x-5)^2-9=6\implies 5(x-5)^2=15\implies (x-5)^2=\cfrac{15}{5}\implies (x-5)^2=3 \\\\\\ \sqrt{(x-5)^2}=\sqrt{3}\implies x-5=\sqrt{3}\implies x=\sqrt{3}+5$

pochemuha3 years ago

3 0

Answer:

Take it slowly

Step-by-step explanation:

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Answer:

-y^4+4y

Step-by-step explanation:

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2 years ago

Simplify the expression 6h+(−8.7d)−13+6d−3.3h.<br> 6h+(−8.7d)−13+6d−3.3h=

mezya [45]

Answer:

-2.7d+2.7h-13

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2 years ago

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.

$\pi = 0.55$

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

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

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

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

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

$n = 1025.7$

Rounding up

n = 1026.

6 0

2 years ago

Please help me to solve this question.

tino4ka555 [31]

Answer:

A=266CM

Step-by-step explanation:

p=2l + 2w l=2x+1 w=x+5

66=2[2x+1] + 2{x+5] l=2x9 + 1 w=9+5

66=4x+2 + 2x+10 l=18+1 w=14

66=6x+12 l=19

66-12=6x

54=6x A=L x W

x=9 A=19 x 14

A=266CM

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2 years ago

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From the above statement that <span>“If a triangle is isosceles, then it is equilateral" the only thing i can conclude is </span>If a triangle is equilateral, then it is isosceles.

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2 years ago

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