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2 years ago

Of the 20 flash bulbs in a box, 2 are defective. an inspector will select 2 light bulbs simultaneously and at random from the bo

x. what is the probability that neither of the light bulbs selected will be defective

Mathematics

1 answer:

Shkiper50 [21]2 years ago

4 0

$|\Omega|=C(20,2)=\dfrac{20!}{2!18!}=\dfrac{19\cdot20}{2}=190\\
|A|=C(18,2)=\dfrac{18!}{2!16!}=\dfrac{17\cdot18}{2}=153\\\\
P(A)=\dfrac{153}{190}\approx81\%$

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I dont understand this question. Also if anyone is on geometry byu part two let me know and we can work together !

damaskus [11]

Answer:

Area of circle R = 75π un² or ≈235.5 un²

Step-by-step explanation:

The problem says that m∠TRS = 120º. The total number of degrees in a circle is 360º. 120º is a third of 360º. Therefore, we can prove that the shaded sector is a third of the circle.

The problem then says that the area of the shaded sector is 25π and we have to calculate the area of the entire circle. Since we already know that the shaded sector is a third of the circle, we can simply multiply 25π by 3 in order to calculate the area of t he entire circle.

25π × 3 = 75π.

Area of circle R = 75π un² or ≈235.5 un²

4 0

2 years ago

Which equation represents a linear function that has a slope of 4/5 and a y-intercept of –6?

vredina [299]

Answer:

$\large\boxed{y=\dfrac{4}{5}x-6}$

Step-by-step explanation:

The slope-intercept form of equation of a linear function:

$y=mx+b$

m - slope

b - y-intercept

We have the slope m = 4/5 and the y-intercept b = -6. Substitute:

$y=\dfrac{4}{5}x-6$

3 0

2 years ago

Read 2 more answers

7.) A bag of 8 apples costs $1.50 at Sam's Orchard,

const2013 [10]

Answer:

a) 3.375 cents

b) 26 Apples

Step-by-step explanation:

a) Each apple costs .1875 cents, multiply .1875 by 18 to get the cost of 18 apples

b) divide 5 by .1875 to get your 26.6666667 Apples, which would round down because you can't have .6666667 of an apple

6 0

2 years ago

Suppose that 45% of people have dogs. If two people are randomly chosen, what is the probability that they both have a dog

mylen [45]

Answer:

$P(Dogs) = 0.2025$

Step-by-step explanation:

Given

$Proportion, p = 45\%$

Required

Probability of two people having dog

First, we have to convert the given parameter to decimal

$p = \frac{45}{100}$

$p = 0.45$

Let P(Dogs) represent the required probability;

This is calculated as thus;

P(Dogs) = Probability of first person having a dog * Probability of second person having a dog

$P(Dogs) = p * p$

$P(Dogs) = 0.45 * 0.45$

$P(Dogs) = 0.45^2$

$P(Dogs) = 0.2025$

Hence, the probability of 2 people having a dog is  $P(Dogs) = 0.2025$ 

4 0

2 years ago

For geometry:( will give brainist to the correct answer!!!

Strike441 [17]

Answer:

y = ⅔x - 5

Step-by-step explanation:

To write the equation, find the slope (m), to enable you write the equation of the line in point-slope form given a point, (-3, -7) that the line passes through.

Since the line is parallel to 2x - 3y = 24,, it would have the same slope (m) value.

Rewrite 2x - 3y = 24 in slope-intercept form.

Thus:

2x - 3y = 24

-3y = -2x + 24

y = ⅔x - 12

The slope of 2x - 3y = 24 is ⅔. Therefore, the line that is parallel to 2x - 3y = 24 is also ⅔.

To write the equation of the line, substitute (a, b) = (-3, -7) and m = ⅔ into y - b = m(x - a)

Thus:

y - (-7) = ⅔(x - (-3))

y + 7 = ⅔(x + 3)

y + 7 = ⅔x + 2

y = ⅔x + 2 - 7

y = ⅔x - 5

5 0

2 years ago