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White raven [17]

3 years ago

9

What is the midpoint of AD? Question 1 options: E B F C

1 answer:

Elina [12.6K]3 years ago

3 0

Answer:

C

Step-by-step explanation:

C is exactly in between A and D, AD is 4 units long, and C is 2 units from both A and D in each of its corresponding directions.

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the name Joe is very common at a school in one out of every ten students go by the name. If there are 15 students in one class,

kumpel [21]

Using the binomial distribution, it is found that there is a 0.7941 = 79.41% probability that at least one of them is named Joe.

For each student, there are only two possible outcomes, either they are named Joe, or they are not. The probability of a student being named Joe is independent of any other student, hence, the <em>binomial distribution</em> is used to solve this question.

<h3>Binomial probability distribution </h3>

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$C_{n,x} = \frac{n!}{x!(n-x)!}$

The parameters are:

x is the number of successes.

n is the number of trials.

p is the probability of a success on a single trial.

In this problem:

One in ten students are named Joe, hence $p = \frac{1}{10} = 0.1$ .

There are 15 students in the class, hence $n = 15$ .

The probability that at least one of them is named Joe is:

$P(X \geq 1) = 1 - P(X = 0)$

In which:

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{15,0}.(0.1)^{0}.(0.9)^{15} = 0.2059$

Then:

$P(X \geq 1) = 1 - P(X = 0) = 1 - 0.2059 = 0.7941$

0.7941 = 79.41% probability that at least one of them is named Joe.

To learn more about the binomial distribution, you can take a look at brainly.com/question/24863377

8 0

3 years ago

Which of the following is a correctly written algebraic equation?

Neko [114]

C. a-3x=0

Equations are like a balance scale. There needs to be an “=“

3 0

3 years ago

Mindy has a stuffed animal collection. She keeps 7 on her bed, which is only 5% of her stuffed animals. How many stuffed animals

Paha777 [63]

Answer:

let her animals be represented by y

then 5/100 x y=7

y=100/5 x7=140

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

A part of a line with endpoints on both ends is a

makvit [3.9K]

This is known as a Segment. Point A to Point B.

5 0

3 years ago

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Car A travels 18 miles every 20 minutes. Car B travels 13 miles every 12 minutes. Which Statement best compares how far the two

Nastasia [14]

Car A: 18/20(60)=54 mph

Car B: 13/12(60) = 65 mph

So car b travels 11 more miles than car a in one hour

3 0

3 years ago