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3 years ago

Can someone help me please

Mathematics

2 answers:

Sveta_85 [38]3 years ago

7 0

Answer:

66.42degrees

Step-by-step explanation:

$\cos {}^{ - 1} ( \frac{6}{15} ) = 66.42degrees$

Volgvan3 years ago

4 0

The answer would be 66.42 degrees

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The probability that Barry Bonds hits a home run on any given at-bat is 0.16, and each at-bat is independent.

serious [3.7K]

Answer:

a) 0.0797 = 7.97% probability that the next home run will be on his fifth at-bat.

b) The expected number of at-bats until the next home run is 6.25.

Step-by-step explanation:

For each at bat, there are two possible outcomes. Either it is a home run, or it is not. The probability of an at bat resulting in a home run is independent of any other at-bat, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

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

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

And p is the probability of X happening.

The probability that Barry Bonds hits a home run on any given at-bat is 0.16

This means that $p = 0.16$

Part A: What is the probability that the next home run will be on his fifth at-bat?

0 on his next 4(P(X = 0) when n = 4)

Home run on his 5th at-bat, with 0.16 probability. So

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

$P(X = 0) = C_{4,0}.(0.16)^{0}.(0.84)^{4} = 0.49787136
$

0.49787136 *0.16 = 0.0797.

0.0797 = 7.97% probability that the next home run will be on his fifth at-bat.

Part B: What is the expected number of at-bats until the next home run?

The expected number of trials for n successes is given by:

$E = \frac{n}{p}$

In this question, $n = 1, p = 0.16$ . So

$E = \frac{1}{0.16} = 6.25$

The expected number of at-bats until the next home run is 6.25.

6 0

2 years ago

Simplify the given polynomial and use it to complete the statement.

Lorico [155]

Answer:

1) $2x^{2}+13$

2) Option C.

3) Option B.

Step-by-step explanation:

1. You must apply the Distributive property as following:

$(-5x^2-2x+4)+(8x^2-x-1)-(x^{2}-5x+2x-10)$

2. Now, you must distribute the negative sign, then you have:

$-5x^2-2x+4+8x^2-x-1-x^{2}+5x-2x+10$

3. Finally, you must add the like terms. Then you obtain the polynomial:

$2x^2+13$

4. By definition, a polynomial that has two terms is classified as a binomial. Therefore, the answer is the option C.

5. The degree of a polynomial is determined by highest exponent of the variable. So, it is a polynomial of degree 2 (option B).

4 0

2 years ago

Read 2 more answers

Can someone help me please

Alex_Xolod [135]

Answer: 1064 square meters

Step-by-step explanation: area of a triangle is a= 1/2xhxw a=1/2xhx28

h= 76 (90-14)

a=1/2x76x28=1064

7 0

2 years ago

Samantha’s college runs on a trimester schedule so she receives a bill 3 times a year for tuition. Each trimester costs $1,450,

Naya [18.7K]

Answer:

10,800

Step-by-step explanation:

you would multiply 1450 by 3 witch is 4350 then multiply that answer by to for the second year witch is 8700 then u take the price of ur books witch is 350 and multiply that by 3 witch is 1050 then multiply 1050 by 2 witch is 2100 then u add 8700 and 2100 and that gives u 10800

7 0

3 years ago

I need help asap !!!!! 40 POINTS

stira [4]

Answer:

Step-by-step explanation:

x+5/36 = x/27

these are similar triangles

4 0

2 years ago