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3 years ago

What is the probability of 24

Mathematics

2 answers:

Bumek [7]3 years ago

4 0

Answer:

from what

Step-by-step explanation:

Luden [163]3 years ago

4 0

from what? what question

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In the last election, a state representative received 52% of the votes cast. One year after the election, the representative org

butalik [34]

Answer:

The probability that more than half of the sample would vote for him is P=0.7549.

Step-by-step explanation:

With a sample size of n=300, we can approximate this to the normal distribution.

The parameters will be

$\mu=p\cdot n=0.52\cdot 300=156\\\\\sigma=\sqrt{np(1-p)} =\sqrt{300\cdot 0.52(1-0.52)} =\sqrt{74.88}= 8.65$

We have to calculate the probability that half or more of the sample vote for him. This is P(x>150).

To calculate this probability, first we calculate the z-value:

$z=\frac{x-\mu}{\sigma}=\frac{150-156}{8.65}=\frac{-6}{8.65}=-0.69$

Then

$P(x>150)=P(z>-0.69)=0.7549$

The probability that more than half of the sample would vote for him is P=0.7549.

5 0

3 years ago

What is the degree of an arc 4rr ft long in a circle of radius of 10 feet

HACTEHA [7]

Answer:

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

What is the equation of the line that is parallel to the given line and has an x-intercept of –3?

Jlenok [28]

You did not include the given line to which your line is parallel to.

Nevertheless, I can explain you how to solve this problem and which the possible solutions are.

1) x-intercept = - 3 = y = 0

The only two equations that include the point (-3,0) are y = x + 3 and y = - x - 3 (you likely forgot to place the negative signs).

You can prove that in this way:

a) y = x + 3
y = 0 => x + 3 = 0 => x = - 3

b) y = - x - 3
y = 0 => - x - 3 = 0 => x = - 3

Then, so far you have two options: y = x + 3 and y = - x - 3.

2) The slope of y = x + 3 is 1 and the slope of y = - x - 3 = - 1 (the coefficient of the x).

3) You know that line whose equation you are determining is parallel to the given line. That means that their slope are the same. So, your next step is to determine the slope of the given line. It shall be either 1 or - 1. Once you have the slope, you will know whether the solution is y = x + 3 or y = - x - 3.

4 0

4 years ago

Twin brothers, Mike and Mark, are both offered jobs at grocery stores. Mike is offered a job at Fresh Foods making $10 per hour.

torisob [31]

Answer: Mike offer is the best.

Step-by-step explanation:

Assuming he work for 30hrs per week in a month he gets

30hrs x 10 = $300 x 4 = $1200

If Mark work 30hrs per week he gets

30hrs x $8 = $240 x 4 = $960 + Bonus $100 = $1,060

Therefore, Mike makes more money.

5 0

4 years ago

I don't understand how to do this

ddd [48]

Answer:

64 $\pi$ in²

Step-by-step explanation:

I did not ever do a problem like this, however this is the beauty of math, you can easily reverse engineer it.

Remember,

A = $\pi$ $r^{2}$

And if we have 4 circles that means the area of one circle is 1/4th the total

So,

A= $\frac{\pi r^{2} }{4}$

Assuming that 16 is the radius squared times 4 lets ignore that squared for now because when going backwards we would get rid of the squared last as that was the first step.

A= $\frac{16\pi }{4}$ = $\frac{4\pi }{1}$ =4 $\pi$

Now lets get it back to $r^{2}$ by square rooting the 4

A= $\sqrt{4\pi }$ =2 $\pi$

The radius of one small circle is 2. Therefore; the diameter would be 4 for each. This in mind we know that two small circles diameters make up the radius of the larger circle we will multiply it by two again.

This gives us a final radius of the bigger circle of 8

Therefore, the area of the bigger circle is 8² $\pi$ which simplifies to 64 $\pi$

And a final answer of

64 $\pi$ in²

Hope this helps :)

5 0

3 years ago