What could be a slope for this?

Three different golfers played a different number of holes today. Rory played 999 holes and had a total of 424242 strokes. Alici

Marat540 [252]

Golfer had the lowest number of strokes per hole is Alicia  = 4.

Step-by-step explanation:

We have , Three different golfers played a different number of holes today. Rory played 999 holes and had a total of 424242 strokes. Alicia played 181818 holes and had a total of 797979 strokes. Rickie played 272727 holes and had a total of 123123123 strokes. We have to find , Which golfer had the lowest number of strokes per hole :

Rory:

Number of strokes per hole = $\frac{424242}{999} = 425$

Alicia:

Number of strokes per hole = $\frac{797979}{181818} = 4$

Rickie:

Number of strokes per hole = $\frac{123123123}{272727} = 451$

∴ Golfer had the lowest number of strokes per hole is Alicia  = 4.

8 0

4 years ago

Use the x-intercept method to find all real solutions of the equation x^3-10x^2+17x+28=0

Alekssandra [29.7K]

A graphing calculator shows the x-intercepts of the expression on the left to be -1, 4, 7.

The real solutions to the cubic equation are x ∈ {-1, 4, 7}.

6 0

3 years ago

Read 2 more answers

The hypotenuse of a right triangle is 14 centimeters long. One of the legs of the triangle is 6 centimeters. What is the length

Fed [463]

Use Pythagorean theorem to solve.
a^2 + b^2 = c^2
6^2 + b ^2 = 14^2
36 + b^2 = 196
Subtract 36 from both sides.
b^2 = 196-36
b^2 = 160
Take the square root of both sides.
b = sqrt 160
As a decimal
b = 12.649
As a simplified radical
b = 4sqrt10

7 0

3 years ago

Read 2 more answers

CAN SOMEONE PLEASE HELP ME ASAP ILL MARK BRAINLIST!!!

zloy xaker [14]

Answer:

B

Step-by-step explanation: it is easy

7 0

3 years ago

Due to a manufacturing error, two cans of regular soda were accidentally filled with diet soda and placed into a 18-pack. Suppos

crimeas [40]

Answer:

a) There is a 1.21% probability that both contain diet soda.

b) There is a 79.21% probability that both contain diet soda.

c) $P(X = 2)$ is unusual, $P(X = 0)$ is not unusual

d) There is a 19.58% probability that exactly one is diet and exactly one is regular.

Step-by-step explanation:

There are only two possible outcomes. Either the can has diet soda, or it hasn't. So we use the binomial probability distribution.

Binomial probability distribution

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

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

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

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

And $\pi$ is the probability of X happening.

A number of sucesses $x$ is considered unusually low if $P(X \leq x) \leq 0.05$ and unusually high if $P(X \geq x) \geq 0.05$

In this problem, we have that:

Two cans are randomly chosen, so $n = 2$

Two out of 18 cans are filled with diet coke, so $\pi = \frac{2}{18} = 0.11$

a) Determine the probability that both contain diet soda. P(both diet soda)

That is P(X = 2).

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

$P(X = 2) = C_{2,2}(0.11)^{2}(0.89)^{0} = 0.0121$

There is a 1.21% probability that both contain diet soda.

b)Determine the probability that both contain regular soda. P(both regular)

That is P(X = 0).

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

$P(X = 0) = C_{2,0}(0.11)^{0}(0.89)^{2} = 0.7921$

There is a 79.21% probability that both contain diet soda.

c) Would this be unusual?

We have that $P(X = 2)$ is unusual, since $P(X \geq 2) = P(X = 2) = 0.0121 \leq 0.05$

For P(X = 0), it is not unusually high nor unusually low.

d) Determine the probability that exactly one is diet and exactly one is regular. P(one diet and one regular)

That is P(X = 1).

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

$P(X = 1) = C_{2,1}(0.11)^{1}(0.89)^{1} = 0.1958$

There is a 19.58% probability that exactly one is diet and exactly one is regular.

8 0

3 years ago