What is the slope of the line shown?

Haley works at a candy store. There are 10 types of bulk candy. Find the probability that one type of candy will be chosen more

DIA [1.3K]

Answer:

Probability that one type of candy will be chosen more than once in 10 trials = 0.2639

Step-by-step explanation:

This is a binomial experiment because

- A binomial experiment is one in which the probability of success doesn't change with every run or number of trials.

- It usually consists of a number of runs/trials with only two possible outcomes, a success or a failure. (10 trials, with the outcome of each trial being that we get the required candy or not)

- The outcome of each trial/run of a binomial experiment is independent of one another.

Binomial distribution function is represented by

P(X = x) = ⁿCₓ pˣ qⁿ⁻ˣ

n = total number of sample spaces = 10 trials

x = Number of successes required = number of times we want to pick a particular brand of candy = more than once, that is > 1

p = probability of success = probability of picking a particular brand of candy from a bulk with 10 different types of candies = (1/10) = 0.10

q = probability of failure = Probability of not picking our wanted candy = 1 - p = 1 - 0.1 = 0.90

P(X > 1) = 1 - P(X ≤ 1)

P(X ≤ 1) = P(X = 0) + P(X = 1)

P(X = 0) = ¹⁰C₀ (0.10)⁰ (0.90)¹⁰⁻⁰ = 0.3486784401

P(X = 1) = ¹⁰C₁ (0.10)¹ (0.90)¹⁰⁻¹ = 0.387420489

P(X ≤ 1) = 0.3486784401 + 0.387420489 = 0.7360989291

P(X > 1) = 1 - 0.7360989291 = 0.2639010709 = 0.2639

Hope this Helps!!!

5 0

3 years ago

Roberta is thinking about joining the food co-op store. If she pays $10.00 to join, she will get 10% off on all the groceries sh

IceJOKER [234]

$100 worth of groceries.

8 0

3 years ago

Which of the following correctly justifies statement 4 of the two-column proof?

slavikrds [6]

Answer:

D.Transitive property of equality

Step-by-step explanation:

We are given that segment JK is parallel to segment LM

We have to prove $\angle 3=\angle 6$

We have to find which option correctly justifies the statement 4 of the two - column proof.

1.Statement : JK is parallel to segment LM

Reason: Given

2. $\angle 7\cong \angle 6$

Reason: Vertical angles theorem

3. $\angle 3\cong \angle 7$

Reason:Corresponding angles theorem

4. $\angle 3\cong \angle 6$

Reason: Transitive property of equality.

If a=b and b=c then a=c

Hence, option D is true.

3 0

2 years ago

Read 2 more answers

What are the types of roots of the equation below?

algol13

Step-by-step explanation:

what is the meaning of ^ this sign

8 0

2 years ago

Find the unpaid balance on the debt after 5 years of monthly payments on $190,000 at 3% for 25 years

NNADVOKAT [17]

Answer:

$114,000

Step-by-step explanation:

Use formula

$I=P\cdot r\cdot t,$

where

I = interst

P = principal

r = rate

t = time

First, find the interst for 25 years:

I = unknown

P = $190,000

r = 0.03 (3% as decimal)

t = 25

$I_{25}=190,000\cdot 0.03\cdot 25=142,500$

Now find the interest for 5 years:

I = unknown

P = $190,000

r = 0.03 (3% as decimal)

t = 5

$I_5=190,000\cdot 0.03\cdot 5=28,500$

The unpaid balance is

$I=I_{25}-I_5=142,500-28,500=114,000$

6 0

2 years ago