Three less than four times m is 100. Find m

A baseball player has a batting average of 0.25. What is the probability that he has exactly 2 hits in his next 7 at bats

marissa [1.9K]

Answer:

The probability that he has exactly 2 hits in his next 7 at-bats is 0.3115.

Step-by-step explanation:

We are given that a baseball player has a batting average of 0.25 and we have to find the probability that he has exactly 2 hits in his next 7 at-bats.

Let X = Number of hits made by a baseball player

The above situation can be represented through binomial distribution;

$P(X = r) = \binom{n}{r}\times p^{r} \times (1-p)^{n-r}; x = 0,1,2,......$

where, n = number of trials (samples) taken = 7 at-bats

r = number of success = exactly 2 hits

p = probability of success which in our question is batting average

of a baseball player, i.e; p = 0.25

SO, X ~ Binom(n = 7, p = 0.25)

Now, the probability that he has exactly 2 hits in his next 7 at-bats is given by = P(X = 2)

P(X = 2) = $\binom{7}{2}\times 0.25^{2} \times (1-0.25)^{7-2}$

= $21 \times 0.25^{2} \times 0.75^{5}$

= 0.3115

5 0

3 years ago

Kelly price sells college textbooks on commission. She gets 8 % on the first $7500 of sales, 16% on the next $7500 of sales, a

Solnce55 [7]

Answer:

The commission would be $ 920.

Step-by-step explanation:

Given,

Sales in 1997 = $ 9500,

Since, there is a commision of 8 % on the first $ 7500 of sales, 16% on the next $ 7500 of sales, and 20% on sales over $ 15,000,

If x represents the total sales,

Commission for x ≤ 7500 = 8% of x = 0.08x,

Commission for 7500 < x ≤ 15000 = 8% of 7500 + 16% of (x-7500)

= 600 + 0.16(x-7500),

Commission for 7500 < x ≤ 15000 = 8% of 7500 + 16% of 7500 + 20% of (x-15000)

= 600 + 1200 + 0.20(x-15000)

= 1800 + 0.20(x-15000)

Thus, the function that shows the given situation,

$f(x)=\left\{\begin{matrix}0.08x & x \leq 7500\\ 600+0.16(x-7500) & 7500 < x \leq 15000\\ 1800+0.20(x-15000) & 15000 < x\end{matrix}\right.$

Since, 9500 lies between 7500 and 15000,

Therefore, the commission would be,

f(9500)= 600 + 0.16(9500 - 7500) = 600 + 320 = $ 920

7 0

3 years ago

According to the Rational Root Theorem, what are all the potential rational roots of f(x) = 15x11 – 6x8 + x3 – 4x + 3?

scoundrel [369]

we have

$f(x) = 15x^{11} -6x^{8} + x^{3} - 4x + 3$

we know that

The Rational Root Theorem states that when a root 'x' is written as a fraction in lowest terms

$x=\frac{p}{q}$

p is an integer factor of the constant term, and q is an integer factor of the coefficient of the first monomial.

So

in this problem

the constant term is equal to $3$

and the first monomial is equal to $15x^{11}$ -----> coefficient is $15$

So

possible values of p are $1, and\ 3$

possible values of q are $1, 3, 5, and\ 15$

therefore

the answer is

The all potential rational roots of f(x) are

(+/-) $\frac{1}{15}$ ,(+/-) $\frac{1}{5}$ ,(+/-) $\frac{1}{3}$ ,(+/-) $\frac{3}{5}$ ,(+/-) $1$ ,(+/-) $3$

3 0

3 years ago

Read 2 more answers

Please answer this math question

IgorC [24]

0.
1/2 = 1/2
No need to add anything

8 0

3 years ago

So how do you do inverse fractions again?

agasfer [191]

Answer:

Opposite reciprocal; so 2/3 would be -3/2

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers