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2 years ago

7

Which of these numbers is in the solution set of x-15=5?

1 answer:

BlackZzzverrR [31]2 years ago

3 0

Answer:

x=20

Step-by-step explanation:

x-15=5

x=5+15

x=20

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Your grandma lives 300 miles away. To go to her house, your average is 60 miles per hour(60mph). On the way home, you travel a b

Kobotan [32]

55mph, (60 + 50) divided by 2 = 55.

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3 years ago

Find the lentgh of the missing side

adell [148]

Answer:

8 is missinn

8 ixxdxx

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3 years ago

The population of a town is increasing at a rate of 6.2% per year. The city council believes they will have to add another eleme

kow [346]

Answer:

The correct solution is "4.6".

Step-by-step explanation:

Given:

Interest rate,

r = 6.2%

or,

= 0.062

Amount,

A = 100000

Principle,

P = 76000

As we know,

⇒ $A=P(1+\frac{r}{100} )^n$

On substituting the values, we get

⇒ $100000=76000(1+\frac{6.2}{100} )^n$

⇒ $(1+0.062)^n=\frac{100}{76}$

On taking log both sides, we get

⇒ $n \ log_e(1.062)=log_e(\frac{100}{76} )$

⇒ $n=\frac{ln(\frac{100}{76} )}{ln(1.062)}$

By putting the values of log, we get

⇒ $=4.5622$

or,

⇒ $=4.6$

5 0

3 years ago

A physical therapist wants to determine the difference in the proportion of men and women who participate in regular sustained p

Alekssandra [29.7K]

Using the z-distribution and the formula for the margin of error, it is found that:

a) A sample size of 54 is needed.

b) A sample size of 752 is needed.

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

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

In which z is the z-score that has a p-value of $\frac{1+\alpha}{2}$ .

The margin of error is of:

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

90% confidence level, hence $\alpha = 0.9$ , z is the value of Z that has a p-value of $\frac{1+0.9}{2} = 0.95$ , so $z = 1.645$ .

Item a:

The estimate is $\pi = 0.213 - 0.195 = 0.018$ .

The sample size is <u>n for which M = 0.03</u>, hence:

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

$0.03 = 1.645\sqrt{\frac{0.018(0.982)}{n}}$

$0.03\sqrt{n} = 1.645\sqrt{0.018(0.982)}$

$\sqrt{n} = \frac{1.645\sqrt{0.018(0.982)}}{0.03}$

$(\sqrt{n})^2 = \left(\frac{1.645\sqrt{0.018(0.982)}}{0.03}\right)^2$

$n = 53.1$

Rounding up, a sample size of 54 is needed.

Item b:

No prior estimate, hence $\pi = 0.05$

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

$0.03 = 1.645\sqrt{\frac{0.5(0.5)}{n}}$

$0.03\sqrt{n} = 1.645\sqrt{0.5(0.5)}$

$\sqrt{n} = \frac{1.645\sqrt{0.5(0.5)}}{0.03}$

$(\sqrt{n})^2 = \left(\frac{1.645\sqrt{0.5(0.5)}}{0.03}\right)^2$

$n = 751.7$

Rounding up, a sample of 752 should be taken.

A similar problem is given at brainly.com/question/25694087

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3 years ago

What is the probability that one of the new parts produced will be over 1.412 cm long?

Aliun [14]

Answer:

Hello

Step-by-step explanation:

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3 years ago