cam hits the bullseye in 8 darts out of 15 throws. what is the experimental probability that came next throws will hit the bullseye?

Answer:

A darts player practices throwing a dart at the bull’s eye on a dart board. Her probability of hitting the bull’s eye for each throw is 0.2.

(a) Find the probability that she is successful for the first time on the third throw:

The number F of unsuccessful throws till the first bull’s eye follows a geometric

distribution with probability of success q = 0.2 and probability of failure p = 0.8.

If the first bull’s eye is on the third throw, there must be two failures:

P(F = 2) = p

2

q = (0.8)2

(0.2) = 0.128.

(b) Find the probability that she will have at least three failures before her first

success.

We want the probability of F ≥ 3. This can be found in two ways:

P(F ≥ 3) = P(F = 3) + P(F = 4) + P(F = 5) + P(F = 6) + . . .

= p

3

q + p

4

q + p

5

q + p

6

q + . . . (geometric series with ratio p)

=

p

3

q

1 − p

=

(0.8)3

(0.2)

1 − 0.8

= (0.8)3 = 0.512.

Alternatively,

P(F ≥ 3) = 1 − (P(F = 0) + P(F = 1) + P(F = 2))

= 1 − (q + pq + p

2

q)

= 1 − (0.2)(1 + 0.8 + (0.8)2

)

= 1 − 0.488 = 0.512.

(c) How many throws on average will fail before she hits bull’s eye?

Since p = 0.8 and q = 0.2, the expected number of failures before the first success

is

E[F] = p

q

=

0.8

0.2

= 4.

WILL MARK BRAINLIEST IF CORRECT PLEASE HELP!!
Which graph represents this system?

y = one-half x + 3. y = three-halves x minus 1

A. On a coordinate plane, a line goes through (0, 3) and (4, 5) and another goes through (0, negative 1) and (2, 2).

B. On a coordinate plane, a line goes through (0, 3) and (1, negative 3) and another goes through (0, negative 1) and (3, 1).

C. On a coordinate plane, a line goes through (negative 1, negative 2) and (1, 4) and another goes through (0, 1.5) and (1.5, 0).

D. On a coordinate plane, a line goes through (negative 3, negative 3) and (0, 3) and another goes through (0, negative 1) and (3, 1).

Bobby runs a lemonade stand to raise money for Baker Children's Hospital. Last weekend, he made 8 quarts of lemonade to sell. Saturday was rainy, so he only sold 6 cups. The weather was better on Sunday, so he sold 18 cups. How many quarts of lemonade does he have left?

61. A survey asked students what classes they
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statements are all true.
• 34 students have Science
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Please help :((

I need help! Will give another brainliest

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What is mTVZ? Show your work.

Maya is driving 120 miles to her grandmother’s house. She drives 35% of the distance before stopping for lunch. How far does she drive before lunch?

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Find the expressions that have a quotient of 7 R12. choose all that apply

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E420÷60
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Select all that apply.

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15.5 is 20% of what number
options:
40
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15
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2
3
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5

A jar contains only​ pennies, nickels,​ dimes, and quarters. There are 29 ​pennies, 13 ​dimes, and 21 quarters. The rest of the coins are nickels. There are 91 coins in all. How many of the coins are not​ nickels? If n represents the number of nickels in the​ jar, what equation could you use to find​ n?

I need help ASAP!!!!!!!! PLEASE CORRECT ANSWER!
A student writes an incorrect step while checking if the sum of the measures of the two remote interior angles of triangle ABC below is equal to the measure of the exterior angle.

A triangle ABC is shown. The base of the triangle extends into a straight line. The angle formed between this straight line and the edge of the triangle is marked as w. The angle adjacent to w is marked as z, and the other two angles inside the triangle are marked as x and y.
Step 1: m∠x + m∠y + m∠z = 180 degrees (sum of angles of a triangle)
Step 2: m∠w − m∠z = 90 degrees (corresponding angles)
Step 3: Therefore, m∠x + m∠y + m∠z = m∠w + m∠z
Step 4: So, m∠x + m∠y = m∠w

In which step did the student first make a mistake and how can it be corrected? (5 points)

Select one:
a. Step 1; it should be m∠x + m∠y + m∠z = 180 degrees (sum of corresponding angles)
b. Step 2; it should be m∠w + m∠z = 180 degrees (supplementary angles)
c. Step 1; it should be m∠x + m∠y + m∠z = 90 degrees (corresponding angles)
d. Step 2; it should be m∠w + m∠z = 90 degrees (alternate exterior angle)

Help quick please!!!

Find the value of x in the following figure. Assume that the lines are parallel.

98
82
75​