What is the length of the segment connecting the points (-9,3) and (-9, -2

You have 3 five dollar bills and 4 ten dollar bills in your pocket. If you pull out 2 bills, what is the probability they are bo

prohojiy [21]

Answer: I think its 4%

Step-by-step explanation: 3+4=7 7/2=3.5

3 0

3 years ago

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Brooke had 70 chairs but he had less than20 rows how many chair he can put on each row

RideAnS [48]

Put in a equality

20 > (70/x)

then you solve

20x > 70

x>70/20

x> 3.5 you can not put part of a chair in a row so you round up

****You can put 4 or more chairs in a row****

4 0

3 years ago

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Area= <br> Help me please!! Thanks

Lera25 [3.4K]

The area of square LMNP is 50

<h3>What is a circle?</h3>

A circle is the locus of points equidistant from a fixed point which is known as the center of the circle.

A circle is defined if the center and the radius is known.

Analysis:

Perimeter of a circle = 2πr

Given perimeter = 10π

2πr = 10π

2r = 10

r = 10/2 = 5

r = MO

so the diagonal of the square is actually the diameter of the circle = 5+5 = 10

To find the side, x of the square the diagonal and the sides form a right-angled triangle, by Pythagoras, $10^{2}$ = $x^{2}$ + $x^{2}$

2 $x^{2}$ = 100

$x^{2}$ = 100/2 = 50

Also area of square is $x^{2}$ = 50

In conclusion, the area of square LMNP is 50

Learn more about circles: brainly.com/question/24375372

#SPJ1

5 0

2 years ago

A gambler has a fair coin and a two-headed coin in his pocket. He selects one of the coins at random. (a) When he flips the coin

Aleks04 [339]

Answer:

a) probability of choosing heads= 1/2 (50%)

b) probability of choosing the fair coin knowing that it showed heads is= 1/3 (33.33%)

Step-by-step explanation:

Since the unfair coin can have 2 heads or 2 tails , and assuming both are equally possible . then

probability of choosing the fair coin (named A)= 1/2

probability of choosing an unfair coin with 2 heads (named B)= (1-1/2)*1/2= 1/4

probability of choosing an unfair coin with 2 tails (named C)= (1-1/2)*(1-1/2)= 1/4

then

probability of choosing heads= probability of choosing A * probability of getting heads from A + probability of choosing B * probability of getting heads from B + probability of choosing C * probability of getting heads from C =

1/2*1/2 + 1/4*1 + 1/4*0 = 2/4 = 1/2

the probability of choosing the fair coin knowing that it showed heads is

P(A/B) = P(A∩B)/P(B)

denoting event A= the coin is fair and event B= the result is heads

P(A∩B) = 1/2*1/2 = 1/4

but since we know now that that the unfair coin is not possible , the probability of choosing heads is altered:

P(B)=probability of choosing heads= probability of choosing A * probability of getting heads from A + probability of choosing B * probability of getting heads from B = 1/2*1/2+1/2*1 = 3/4

then

P(A/B) = P(A∩B)/P(B) = (1/4)/(3/4) = 1/3

then the probability is 1/3

8 0

3 years ago

Lisa has collected data to find that the number of pages per book on a book shelf has a normal distribution. What is the probabi

aev [14]

Answer:

2.5% probability that a randomly selected book has fewer than 133 pages.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 189 pages

Standard deviation = 28 pages

What is the probability that a randomly selected book has fewer than 133 pages?

133 = 189 - 2*28

So 133 is two standard deviations below the mean.

The Empirical Rule states that 95% of the measures are within 2 standard deviations of the mean. The other 5% is more than two standard deviations distant from the mean. The normal distribution is symmetric, which means that of those 5%, 2.5% are more than 2 standard deviations below the mean and 2.5% are more than 2 standard deviations above the mean.

This means that there is a 2.5% probability that a randomly selected book has fewer than 133 pages.

3 0

3 years ago