13. Mark has a board that is 12 feet long. He

What are the coordinates of the fourth point that could be connected with (–8, 0), (1, 0), and (1, –5) to form a rectangle?

sergey [27]

(-8, -5)

To form a rectangle, all the lines must be perpendicular and parallel. If you draw out the points on a coordinate plane then you can find the answer pretty easily.

Also, this one is easy because all the lines are vertical or horizontal, and when that is the case then you can just see which number in the set hasn't appeared twice (1 appeared twice as an x value, 0 appeared twice as a y value, but -8 has only appeared once as an x and -5 has only appeared once as a y value)

6 0

3 years ago

The proportion of American births that result in a birth defect is approximately 1/33 according to the Centers for Disease Contr

max2010maxim [7]

Answer:

The appropriate probability model for X is a Binomial distribution,

X $\sim$ Bin (n = 5, p = 1/33).

Step-by-step explanation:

The random variable X can be defined as the number of American births resulting in a defect.

The proportion of American births that result in a birth defect is approximately p = 1/33.

A random sample of n = 5 American births are selected.

It is assumed that the births are independent, i.e. a birth can be defective or not is independent of the other births.

In this experiment the success is defined as a defective birth.

The random variable X satisfies all criteria of a Binomial distribution.

The criteria are:

Number of observations is constant
Independent trials
Each trial has only two outcomes: Success and Failure
Same probability of success for each trial

Thus, the appropriate probability model for X is a Binomial distribution, Bin (n = 5, p = 1/33).

7 0

3 years ago

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Of all college degrees awarded in the United States, 50 % 50% are bachelor's degrees, 59 % 59% are earned by women, and 29 % 29%

bazaltina [42]

Answer:

P(B|W)=0.5

Step-by-step explanation:

-Given that P(B)=0.5,P(B)=0.59 AND P(W)=0.29-Conditional probability is defined as the probability of one event occurring with relationship with one or more other events.

$P(B|W)=\frac{P(W)\times P(B)}{P(W)}\\\\=\frac{0.50\times0.29}{0.29}\\\\=0.5$

Hence, the conditional probability that a degree is earned by a woman, given that the degree is a bachelor's degree is 0.5

8 0

3 years ago

A square has a perimeter of 18cm. How long is the side of the square? 15 POINTS**

emmainna [20.7K]

Answer:

Each side is 4.5 cm

Step-by-step explanation:

$18 \div 4 = 4.5$

To find the perimeter of a square you add all the sides.

But to find the side length you do the opposite. Which is the equation above.

Hope this helps : )

5 0

2 years ago

Brianna bought snacks for her team's practice. She bought a bag of oranges for $2.72 and a 20-pack of juice bottles. The total c

posledela

Answer:

each bottle was $2.12 :P

Step-by-step explanation:

➼start by making an equation to find the price of the juice pack, in this case x would be the price of the juice pack because its unknown, the juice pack price(x) added to the price of the oranges(2.72) and equal the total(45.12), the before tax part is not needed info

2.72 + x = 45.12

➼now our aim to get x alone to find out its worth so we will have to do the opposite and subtract 2.72 from everything, since its positive

2.72-2.72=0 crosses out

45.12-2.72=42.4

➼which gets us x = 42.4 so one 20 pack is 42.40 dollars but we arent done yet, to find out the price of EACH bottle we must divide 42.4 by 20!

42.4/20=2.12

➼so to sum it up, each bottle is $2.12 :)

4 0

2 years ago

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