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3 years ago

List at least two factors that improve human quality

1 answer:

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Suppose that prior to conducting a coin-flipping experiment, we suspect that the coin is fair. How many times would we have to f

BabaBlast [244]

Answer:

153 times

Step-by-step explanation:

We have to flip the coin in order to obtain a 95.8% confidence interval of width of at most .14

Width = 0.14

ME = $\frac{width}{2}$

ME = $\frac{0.14}{2}$

ME = $0.07$

$ME\geq z \times \sqrt{\frac{\widecap{p}(1-\widecap{p})}{n}}$

use p = 0.5

z at 95.8% is 1.727(using calculator)

$0.07 \geq 1.727 \times \sqrt{\frac{0.5(1-0.5)}{n}}$

$\frac{0.07}{1.727}\geq sqrt{\frac{0.5(1-0.5)}{n}}$

$(\frac{0.07}{1.727})^2 \geq \frac{0.5(1-0.5)}{n}$

$n \geq \frac{0.5(1-0.5)}{(\frac{0.07}{1.727})^2}$

$n \geq 152.169$

So, Option B is true

Hence we have to flip 153 times the coin in order to obtain a 95.8% confidence interval of width of at most .14 for the probability of flipping a head

6 0

2 years ago

A line passes through (2, 4) and (-2, 2). Find the value of y if (6, y) lies on the line. Not sure how the 3 was brought into th

Marrrta [24]

Answer:

Well, that is simple. You first must find the slope of the line from the 2 given points by using the slope formula. Which is y2-y1/x2-x1. So 2-4/-2-2 which equals -2/-4 which is 1/2. So the slope is 1/2. Now we can use the slope intercept form which is y=mx+b to find the slope equation. So we plug in one the points, say (2,4) and get y=1/2x+3. So now we plug in (6,y) Since we know x we can find y. y=1/2(6)+3 which gives us y=6. So y is 6.

8 0

3 years ago

a ribbion is 3 2/3 yards long. Mae needs to cut the ribbion into pieces that are 2/3 yard long.how much ribbion will be left aft

Lemur [1.5K]

To answer this question you need to divide to get the number of pieces and then multiply whats leff by 3 2/3.

Divide 3 2/3 by 2/3. There are a few ways to do this but I am going to turn 3 2/3 into an improper fraction and then divide.

So $3\frac{2}{3} = \frac{11}{3}$
Now divide
$\frac{\frac{11}{3}}{\frac{2}{3}}$
$\frac{11}{3} \times \frac{3}{2} = \frac{11}{2} = 5\frac{1}{2} = 5.5$

We can see she can get 5.5 pieces at 2/3. So .5 is going to be left over so we ask our self, what is .5 of 3 2/3? We times .5 by 3 2/3 = 1.83 yards left. If you want it into a fraction, it would be $1\frac{83}{100}$ yards left

7 0

3 years ago

What is the measure (in radians) of central angle & in the circle below?

MA_775_DIABLO [31]

Answer:

7pi/6

Step-by-step explanation:

Using the formula for arc length in radians, we get:

14pi = 12(theta)
theta = 7pi/6 [divide both sides by 12]

8 0

2 years ago

~Please help as soon as possible~

Sindrei [870]

Question 1

well the is a 1:4 Faculty:trainee ratio
if there are 2:20, that would be a 1:10

you just need to find 1/4th of 20 and thats the total
20/4=5
You need five faculty total so
YOU NEED 3 MORE

Question 2

600 pretzels/10 minutes
?pretzels/52 minutes
600x52/10=3120

Question 3

700 people/ 2 tons
20,850,000/ ? tons
20,850,000 x 2 / 700= <span>59,571.4285714 OR about 60,000 tons</span>

7 0

3 years ago