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Pavel [41]
3 years ago
14

1) Determine if the side lengths given form a triangle

Mathematics
1 answer:
Margaret [11]3 years ago
6 0

Using the triangle inequality theorem, we can figure this out.

2-  Yes

3- No

4- No

5- Yes

6-  Yes

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Let X denote a random variable which corresponds to the number of players in a team who get injured during a game. If we assume
Feliz [49]

Answer:

(a)

The values of X can be 0, 1, 2 , ..., 10 . So, X is a discrete random variable.

(b)

The distribution of X is Binomial distribution with the parameters n = 10 and p = 0.2

(c)

Probability that no one or one person will be injured = P(X = 0) + P(X = 1)

= 10C0 * 0.20 * (1 - 0.2)10-0 + 10C1 * 0.21 * (1 - 0.2)10-1

= 0.810 + 10 * 0.2 * 0.89

= 0.3758096

(d)

Average value of X = np

Average value of X = 10 * 0.2 = 2

(e)

Variance of X = np(1-p)

Variance of X = 10 * 0.2 * (1 - 0.2) = 1.6

(f)

Number of ways in which 2 people gets injured = 10C2 = 10! / ((10-2)! 2!) = (10 * 9) / (2 * 1) = 45

Assume the best player got injures, number of ways in which one people out of remaining 9 people gets injured = 9C1

= 9! / ((9-1)! 1!)

= 9

Probability that the best player got injured = Number of ways in which 1 people gets out of 9 and best person gets injured / Number of ways in which 2 people gets injured

= 9 / 45

= 0.2

4 0
3 years ago
What is 7/12 in simplest form?
ikadub [295]
If it stays as fraction the answer would be 7/14
8 0
3 years ago
Read 2 more answers
A number is divisible by ______ if the last two digits form a number divisible by four
icang [17]

Answer:

B. 4

Step-by-step explanation:

Whole numbers are divisible by 4 if the number formed by the last two individual digits is evenly divisible by 4.

7 0
3 years ago
Read 2 more answers
On Tuesday Clary and Mayla both ran for two and a half hours who ran the farther distance
Ksenya-84 [330]
No one because their is no fractions Or whole numbers or even decimals to show the amount that they ran please check to see if their is any other part to this question
4 0
3 years ago
An investment of $900 earns 6% annual interest and is compounded semi-annually. Write an equation
nalin [4]

Answer:

A=900(1+\frac{0.06}{2})^{2(t)}

Step-by-step explanation:

Lets use the compound interest formula provided to solve this:

A=P(1+\frac{r}{n} )^{nt}

<em>P = initial balance</em>

<em>r = interest rate (decimal)</em>

<em>n = number of times compounded annually</em>

<em>t = time</em>

First, change 6% into a decimal:

6% -> \frac{6}{100} -> 0.06

Since the interest is compounded semi-annually, we will use 2 for n. Lets plug in the values now and your equation will be:

A=900(1+\frac{0.06}{2})^{2(t)}

4 0
2 years ago
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