Answer:
0.35
Step-by-step explanation:
This probability distribution is shown below:
Pitch 1 2 3 4 5
Frequency 15 20 40 15 10
Probability 0.15 0.2 0.4 0.15 0.1
The probability that the pitcher will throw fewer than 3 pitches to a batter = P(X < 3)
X is the number of pitches thrown. Therefore:
P(X < 3) = P(X = 1) or P(X = 2)
The additive rule pf probability states that if two events X and Y are dependent events, the probability of X or Y occurring is the sum of their individual probability.
P(X < 3) = P(X = 1) or P(X = 2) = P(X = 1) + P(X = 2) = 0.15 + 0.2 = 0.35
The probability that the pitcher will throw fewer than 3 pitches to a batter = 0.35
Answer:
The answer is 48, I hope this helps!
Step-by-step explanation:
would you like me to explain?
Answer:
(x - 8)(2x + 3)
Step-by-step explanation:
To factor a polynomial of the form
ax² + bx + c,
follow these steps:
1) Multiply ac together.
2) Find 2 factors of ac that add to b. Call these factors p and q.
3) Break up the middle term of the polynomial into px + qx.
4) Factor by grouping.
Now let's follow the steps above with your problem.
You are given the polynomial
2x² - 13x - 24,
so a = 2, b = -13, and c = -24
1) Find ac.ac is the product 2(-24) = -48
2) Now we need to find 2 factors of -48 that add to b, -13.
I know that 48 = 3 × 16, so if we use -16 and 3 for the two numbers, we have
-16 + 3 = -13
and -16 × 3 = -48.
3) Now we break up the middle term of the polynomial, -13x, into -16x + 3x.
The polynomial is now
2x² - 16x + 3x - 24
4) We factor the polynomial by grouping. To factor by grouping, you factor a common factor out of the first 2 terms and factor out a common factor out of the last two terms.
2x² - 16x + 3x - 24 =
= 2x(x - 8) + 3(x - 8)
We now see the common factor of x - 8, so we factor that out.
= (x - 8)(2x + 3)
Answer: (x - 8)(2x + 3)
Answer:
6.3
Explanation:
To get from 4.5 to 5.4, you need to add 0.9. If you add 0.9 two more times, you get 7.2. Therefore, the middle term should be 6.3. I don't know if you made a typo and forgot the decimal when writing the options cause it says "63", but I believe the answer is 6.3.
16 x 8 = 128 square feet (area of rectangle)
shaded:
8 x 2 = 16
10 x 1 = 10
1/2 (3)(10) = 15
total shaded area: 16+10+15 = 41 square feet
total non-shaded area = 128 - 41 = 87 square feet
answer
area of the shaded region = 41 square feet
area of the non - shaded region = 87 square feet
