1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Y_Kistochka [10]
3 years ago
11

A softball pitcher has a 0.507 probability of throwing a strike for each pitch. If the softball pitcher throws 15 pitches, what

is the probability that exactly 8 of them are strikes? Insert the correct symbol to represent this probability.
Mathematics
1 answer:
Elena L [17]3 years ago
8 0

Answer:

The probability that the pitcher throws exactly 8 strikes out of 15 pitches is approximately 0.199

Step-by-step explanation:

The given probability that the pitcher throws a strike, p = 0.507

The number of pitches thrown by the pitcher = 15 pitches

The probability that the pitcher does not throw a strike, q = 1 - P

∴  q = 1 - 0.507 = 0.493

By binomial theorem, we have;

P(X = r) = \dbinom{n}{r}p^{r} \cdot q^{n-r}=  \dbinom{n}{r}p^{r} \cdot \left (1-p  \right )^{n-r}

When X = r =  8, and n = 15, we get;

The probability that the pitcher throws exactly 8 strikes out of 15 pitches, P(8), is given as follows

P(8) = ₁₅C₈ × 0.507⁸ × (1 - 0.507)⁽¹⁵ ⁻ ⁸⁾ = 6,435 × 0.507⁸ × 0.493⁷ ≈ 0.199

You might be interested in
I am doing math how many equivalent fractions are there for 4/5 explain
mote1985 [20]
4/5 ,8/10, 16/20,
You multiply both numbers with the same number.
For ex. 4×2=8 5×2=10 so we have 8/10
6 0
3 years ago
Complete the table below y=mx+b
iVinArrow [24]

Answer:

I don't see a table or anything that has an attachment ????

Step-by-step explanation:

8 0
3 years ago
Find the slope and the y-intercept of the graph of y= 11 + 1.5x.
sveticcg [70]

Answer:

Slope is 1.5 and y-intercept is 11

Step-by-step explanation:

It's in the equation

8 0
2 years ago
Evaluate each expression for r=9 n t=14 enter in your numerical answer
Neko [114]

Answer:

1764

Step-by-step explanation:

from \: the \: question \: rt {}^{2}  \\ were \: r =9  \\ and \: t = 14 \\ rt {}^{2}  = 9 \times (14) {}^{2}  = 9 \times 196 = 1764

3 0
2 years ago
Read 2 more answers
On a coordinate plane, a line goes through points (negative 3, 0) and (0, 3).
Darina [25.2K]

Answer:

Slope-Intercept form: y=x+3

Step-by-step explanation:

The Slope-Intercept form is y=mx+b

You first have to find the slope. You can use the graph and count or you can use the table and use the slope formula m=\frac{y_2-y_1}{x_2-x_1}. You then have to find (b) which is the y-intercept. You can find this easily using the graph or the table.

7 0
2 years ago
Other questions:
  • Evaluate p -q for p = 34 and q = -35
    9·1 answer
  • The length of a rectangular garden is 8 feet longer than its width. the garden's perimeter is 184 feet. find the length of the g
    9·1 answer
  • A hemispherical tank is filled with water and has a diameter of 9 feet. If water weighs 62.4 pounds per cubic foot, what is the
    11·1 answer
  • An hourly salary of $45 is equivalent to what annual salary? Assume a 35-hour work week. ​
    12·2 answers
  • Jack saved 2 pennies today. If he doubles the number of pennies he saves every day, how many more days will it take until he has
    15·1 answer
  • The surface area of a composite figure
    10·1 answer
  • a girl went to school for the first time and asked her how old are you the girl said I don't know but I know my mother's age is
    9·1 answer
  • Solve the system.
    10·1 answer
  • What is the length of segment
    10·1 answer
  • Solve by using elimtation
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!