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Dmitry_Shevchenko [17]

3 years ago

9

I'd Point A is located at (9,2) on a coordinate plane and point B is located at (-9,10), what is the distance between the two po

ints?

1 answer:

Fiesta28 [93]3 years ago

4 0

Draw the triangle and then use Pythagoras' theorem

distance = $\sqrt{18 ^{2} +8 ^{2} }$
= 19.70 (2dp)

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One hundred rats with mothers that were exposed to high levels of tobacco smoke during pregnancy were put through a simple maze.

Paul [167]

Answer:

The 90% confidence interval for pis (0.7342, 0.8658).

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 $1 - \frac{\alpha}{2}$ .

For this problem, we have that:

100 rats mothers, 80 went right. So $n = 100, \pi = \frac{80}{100} = 0.8$

90% confidence level

So $\alpha = 0.1$ , z is the value of Z that has a pvalue of $1 - \frac{0.1}{2} = 0.95$ , so $Z = 1.645$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.8 - 1.645\sqrt{\frac{0.8*0.2}{100}} = 0.7342$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.8 + 1.645\sqrt{\frac{0.8*0.2}{100}} = 0.8658$

The 90% confidence interval for pis (0.7342, 0.8658).

3 0

3 years ago

How is the quotient 5 to the 8th power expressed as a power of 5

Sauron [17]

Answer:

5^4

Step-by-step explanation:

When dividing exponents with the same base, you subtract their exponents.

8-4=4

This means that 5^8 / 5^4 is equal to:

5^4

6 0

3 years ago

Help help help help what is the answer −5(4x−3)−x+5=190!!!

artcher [175]

X=8.5
190-5=185
185/-5=-37
-37-3=-34
34/4=8.5

8 0

3 years ago

It is predicted that by 2050 there will be 10^10 people living on earth. approximatrly will be 10^12 trees. how many trees for e

Nastasia [14]

Interesting question. Does that mean near the end of humanity?

Solution 1:

10^10 = 1,000,000,000

10^12 = 100,000,000,000

100,000,000,000/1,000,000,000 = 100 trees per person

Solution 2:

10^12 / 10^10 --- 10^10 / 10^10

10^2/1 = 10^2 = 100 trees per person

8 0

3 years ago

a survey of students at a university shows that 3 out of 5 drink coffee. of the students who drink coffee, 1 out of 8 adds cream

Alex

Answer:

900 students

Step-by-step explanation:

3/5 of 12,000 = 7,200 who drink coffee

1/8 x 7,200 = 900 who drink coffee with cream

3 0

3 years ago