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Harlamova29_29 [7]
3 years ago
11

A supplier delivers an order for 20 electric toothbrushes to a store. By accident, three of the electric toothbrushes are defect

ive. What is the probability that the first two electric toothbrushes sold are defective? Group of answer choices
Mathematics
1 answer:
krek1111 [17]3 years ago
8 0

Answer:

The probability that the first two electric toothbrushes sold are defective is 0.016.

Step-by-step explanation:

The probability of an event, say <em>E </em>occurring is:

P (E)=\frac{n(E)}{N}

Here,

n (E) = favorable outcomes

N = total number of outcomes

Let <em>X</em> = number of defective electric toothbrushes sold.

The number of electric toothbrushes that were delivered to a store is, <em>n</em> = 20.

Number of defective electric toothbrushes is, <em>x</em> = 3.

The number of ways to select two toothbrushes to sell from the 20 toothbrushes is:

{20\choose 2}=\frac{20!}{2!(20-2)!}=\frac{20!}{2!\times 18!}=\frac{20\times 19\times 18!}{2!\times 18!}=190

The number of ways to select two defective toothbrushes to sell from the 3 defective toothbrushes is:

{3\choose 2}=\frac{3!}{2!(3-2)!}=\frac{3!}{2!\times 1!}=3

Compute the probability that the first two electric toothbrushes sold are defective as follows:

P (Selling 2 defective toothbrushes) = Favorable outcomes ÷ Total no. of outcomes

                                                            =\frac{3}{190}\\

                                                            =0.01579\\\approx0.016

Thus, the probability that the first two electric toothbrushes sold are defective is 0.016.

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Answer:

The correct answer is 10.

Step-by-step explanation:

Faruq spends all of his income ($100) on tacos and milkshakes.

Price of tacos is $10, and the price of milkshakes is $2.

Let Faruq buy x number of tacos (horizontal axis) and y number of milkshakes (vertical axis).

Total expenditure of Faruq is given by 10 × x + 2 × y.

Since Faruq does not save anything, therefore his expenditure is equal to his income.

Thus his budget line is given by 10 × x + 2 × y = 100.

To calculate the horizontal intercept for Faruq's budget line we consider     y = 0, i.e. we want to calculate how many tacos Faruq would buy when he does not buy any amount of milkshakes.

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Answer:

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Step-by-step explanation:

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length of the opp of a small triangle is = adj. tan Ф

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4 years ago
What is the correct answer???
Lostsunrise [7]

Option D: \frac{2}{5} is the x-coordinate

Explanation:

It is given that the coordinates of the line segment are A(3,2) and B(6,11).

Since, the line is partitioned by the point C by the ratio AC : BC = 2 : 3

The distance between the x-coordinates is 3 units.

To determine the value of the x-coordinate for point C, let us divide the value of x-coordinate from the ratio divided by the sum of ratio.

The value of x-coordinate from the ratio is 2.

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Substituting the values, we have,

The x - coordinate of the Point C = \frac{2}{5}

Thus, Option D is the correct answer.

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