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2 years ago

Quesuon 18 of 40

Mathematics

1 answer:

dimulka [17.4K]2 years ago

7 0

Answer:

answer is a cylinder I hope it will help you please follow

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A company is producing two types of ski goggles. Thirty percent of the production is of type A, and the rest is of type B. Five

exis [7]

Answer:

$\dfrac{14}{29}$

Step-by-step explanation:

Let P(A) be the probability that goggle of type A is manufactured

P(B) be the probability that goggle of type B is manufactured

P(E) be the probability that a goggle is returned within 10 days of its purchase.

According to the question,

P(A) = 30%

P(B) = 70%

P(E/A) is the probability that a goggle is returned within 10 days of its purchase given that it was of type A.

P(E/B) is the probability that a goggle is returned within 10 days of its purchase given that it was of type B.

$P(A \cap E)$ will be the probability that a goggle is of type A and is returned within 10 days of its purchase.

$P(B \cap E)$ will be the probability that a goggle is of type B and is returned within 10 days of its purchase.

$P(E \cap A) = P(A) \times P(E/A)$

$P(E \cap A) = \dfrac{30}{100} \times \dfrac{5}{100}\\\Rightarrow P(E \cap A) = 1.5 \%$

$P(E \cap B) = P(B) \times P(E/B)$

$P(E \cap B) = \dfrac{70}{100} \times \dfrac{2}{100}\\\Rightarrow P(E \cap B) = 1.4 \%$

$P(E) = 1.5 \% + 1.4 \% \\P(E) = 2.9\%$

If a goggle is returned within 10 days of its purchase, probability that it was of type B:

$P(B/E) = \dfrac{P(E \cap B)}{P(E)}$

$\Rightarrow \dfrac{1.4 \%}{2.9\%}\\\Rightarrow \dfrac{14}{29}$

So, the required probability is $\dfrac{14}{29}.$

7 0

2 years ago

7. Find the complex conjugate of 3i+4.

Jet001 [13]

4-3i is the complex conjugate

5 0

2 years ago

Help fast 15 points

den301095 [7]

Answer:

1/4

Step-by-step explanation:

7 0

2 years ago

Find the distance between the two points S (-5,-2) and T (-3,4).

icang [17]

Answer:

$d =2 \sqrt{10}$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra II

Distance Formula: $d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Step-by-step explanation:

Step 1: Define

S (-5, -2)

T (-3, 4)

Step 2: Find distance d

Substitute: $d = \sqrt{(-3+5)^2+(4+2)^2}$
Add: $d = \sqrt{(2)^2+(6)^2}$
Evaluate: $d = \sqrt{4+36}$
Add: $d = \sqrt{40}$
Simplify: $d =2 \sqrt{10}$

6 0

2 years ago

How would you round the number 9.9813 x 10-5 to two significant figures? Group of answer choices 10 1.0 x 10-4 10.0 x 10-5 9.9 x

zaharov [31]

Answer:

This Significant Figures Rounding Calculator rounds a given number to the amount of significant digits that you specify. This rounding number which you specify cannot be a negative number and it must be greater than 0. A number with 0 significant digits would be 0.

Step-by-step explanation:

8 0

2 years ago