The probability of finding a broken cookie in a bag of chocolate chip cookies is P = .03. Find the probability of getting at least 2 broken cookies in a bag containing 36 cookies

Answers

Answer 1

Answer:

P(at least 2 broken cookies) = 1 - P(X = 0) - P(X = 1)

How to find the probability of getting at least 2 broken cookies in a bag containing 36 cookies

To find the probability of getting at least 2 broken cookies in a bag containing 36 cookies, we need to calculate the probability of getting 2, 3, 4, ..., up to 36 broken cookies and then sum up those probabilities.

The probability of getting exactly 2 broken cookies can be calculated using the binomial probability formula:

P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)

Using the formula, we can calculate P(X = 2):

P(X = 2) = C(36, 2) * (0.03)^2 * (1 - 0.03)^(36 - 2)

Similarly, we can calculate P(X = 3), P(X = 4), and so on, up to P(X = 36).

Once we have calculated all these probabilities, we can sum them up to find the probability of getting at least 2 broken cookies:

P(at least 2 broken cookies) = P(X = 2) + P(X = 3) + P(X = 4) + ... + P(X = 36)

P(at least 2 broken cookies) = 1 - P(X = 0) - P(X = 1)

To calculate P(X = 0), we can use the binomial probability formula with k = 0, and for P(X = 1), we can use the formula with k = 1.

Once we have calculated P(X = 0) and P(X = 1), we can substitute them into the equation:

P(at least 2 broken cookies) = 1 - P(X = 0) - P(X = 1)

This will give us the probability of getting at least 2 broken cookies in a bag containing 36 cookies.

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Answer 2

Answer: the answer would be .06 bc its 2 broken cookies in a bag therefore it would be double so the answer is .06

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The two triangles shown are similar. Find the value of
a
b
2.1
1.4

Answers

Answer:a 2.1 similar to 1.4 is 5.6 n answer to your question

Step-by-step explanation:

Answer:

1.5

Step-by-step explanation:

We expect a car’s highway gas mileage to be related to its city gas mileage (in mpg). Data for all 1209 1209 vehicles in the government’s 2016 Fuel Economy Guide give the regression line highway mpg = 7.903 + ( 0.993 × city mpg ) (a) What is the slope of this line? (Enter your answer rounded to three decimal places.)

slope:

What does the numerical value of the slope tell you?

Answers

Final answer:

The slope of the line is 0.993. A positive slope indicates a positive linear relationship between city mpg and highway mpg.

Explanation:

Slope of the line:

The slope of a regression line represents the change in the dependent variable (in this case, highway mpg) for a one-unit increase in the independent variable (city mpg).

In this equation, the slope is given by 0.993. This means that for every one-unit increase in city mpg, the highway mpg is expected to increase by 0.993 units.

Numerical value of the slope:

The positive numerical value of the slope indicates that there is a positive linear relationship between city mpg and highway mpg. This means that as the city mpg increases, the highway mpg also tends to increase.

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The graph below shows the numbers of cups of apple juice that are mixed with different numbers of cups of lemon-lime soda to make servings of apple soda: A graph is shown. The values on the x axis are 0, 1, 2, 3, 4, 5. The values on the y axis are 0, 6, 12, 18, 24, 30. Points are shown on ordered pairs 0, 0 and 1, 6 and 2, 12 and 3, 18 and 4, 24. These points are connected by a line. The label on the x axis is Lemon -Lime Soda in cups. The title on the y axis is Apple Juice in cups. What is the ratio of the number of cups of apple juice to the number of cups of lemon-lime soda? 1:24 24:1 1:6 6:1

Answers

The ratio of the number of cups of apple juice to the number of cups of lemon-lime soda is 6:1

What is the ratio?

It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.

Given that x axis denotes Lemon lime soda in cups and y axis denotes Apple juice in cups

(x) Lemon -Lime Soda ; 0, 1, 2, 3, 4, 5

(y) Apple Juice : 0, 6, 12, 18, 24, 30

Therefore, the ratio can be written as;

the number of cups of apple juice : the number of cups of lemon-lime soda

6 : 1

Then, ratio is 6:1

Hence, the ratio of the number of cups of apple juice to the number of cups of lemon-lime soda is 6:1

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(x) Lemon -Lime Soda 0, 1, 2, 3, 4, 5
(y) Apple Juice 0, 6, 12, 18, 24, 30

number of cups of apple juice : the number of cups of lemon-lime soda
6 : 1
ratio is 6:1

Find the quotient and remainder using long division.x + x - 13
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The remainder is

Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

(7/9) ÷ (5/4) = 28/45

Step-by-step explanation:

Fractions can be divided by using the rule "invert and multiply". We can look at the factors of 28 and 45 to see what might have been multiplied to get these numbers.

28 = 1·28 = 2·14 = 4·7

45 = 1·45 = 3·15 = 5·9

So, there are a number of possibilities. A couple of them are ...

28/45 = (7/9) × (4/5) = (4/9) × (7/5)

If we choose to use the first of these pairs of fractions, we can invert one of the fractions to make the denominator, then write the quotient as either of ...

(7/9) ÷ (5/4)

(4/5) ÷ (9/7)

Which property is illustrated by the equation –8 + 8 = 0?additive inverse
additive identity
commutative property
distributive property

Answers

The property additive inverse is illustrated in this equation.

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