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3 years ago

Emily had 75 buttons. She gave 15 to Jake. What percent of buttons did she give to Jake?

Mathematics

1 answer:

eduard3 years ago

8 0

Answer:

20%

Since Emily gave 15 of her buttons out of 75, it's just 15/75 or 1/5 which is 20

Step-by-step explanation:

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Use the following problem to answer questions 8 and 9. A television manufacturer has three locations where it is finally assembl

Nonamiya [84]

Answer:

The probability of finding a non-defective television is 0.9815.

Step-by-step explanation:

We are given that a television manufacturer has three locations where it is finally assembled. Plants A, B, and C supply 65%, 15%, and 20% respectively of the televisions used by the manufacture.

Quality control has determined that 1.5% produced by Plant A are defective, while plants B and C have 2.5% defective products.

Let Probability that Plant A supply televisions = P(A) = 0.65

Probability that Plant B supply televisions = P(B) = 0.15

Probability that Plant C supply televisions = P(C) = 0.20

Also, let D = event that television is defective

Probability that television is defective given that it is supplied by Plant A = P(D/A) = 0.015

Probability that television is defective given that it is supplied by Plant B = P(D/B) = 0.025

Probability that television is defective given that it is supplied by Plant C = P(D/C) = 0.025

Now, to find the probability of finding a non-defective television firstly we will find the probability of a defective television.

Probability of a defective television is given by;

= P(A) $\times$ P(D/A) + P(B) $\times$ P(D/B) + P(C) $\times$ P(D/C)

= 0.65 $\times$ 0.015 + 0.15 $\times$ 0.025 + 0.20 $\times$ 0.025

= 0.00975 + 0.00375 + 0.005

= 0.0185

Now, probability of finding a non-defective television = 1 - Probability of a defective television

Probability of finding a non-defective television = 1 - 0.0185

= 0.9815

Therefore, the probability of finding a non-defective television is 98.15%.

8 0

4 years ago

The sum of two positive integers, x and y, is not more than 40. The difference of the two integers is at least 20. Chaneece choo

Butoxors [25]

Answer:

The value of x lies between 20 and 40 and value of y lies between -20 and 10

Step-by-step explanation:

We are given that

$y\leq 40-x$ ....(1)

$y\leq x-20$ ...(2)

First we convert inequality equation into equality equation to find the solution of the given system of inequality equation.

Therefore, we can write as

$y=-x+40$ ...(3)

$y=x-20$ ...(4)

Adding equation (3) and (4) we get

$2y=20$

$y=10$

Substitute y=10 in equation (3) we get

$10=40-x$

$x=40-10=30$

(30,10) is the intersect point of two equation.

Put x=0 in equation (3)

$y=40$

Substitute y=0 in equation (3)

$x=40$

Substitute x=0 in equation (4)

$y=-20$

Substitute y=0 in equation (4)

$x=20$

Substitute x=0 and y=40 and in equation (1)

$40\leq 40$

Hence, the equation is true.Therefore, the shaded region below the line.

Substitute x=0 and y=-20 in equation (2)

$-20\leq -20$

The equation is true. Hence, the shaded region is below the line.

Hence, the value of x lies between 20 and 40 and value of y lies between -20 and 10.

5 0

3 years ago

Read 2 more answers

p is a polynomial of degree 5. p has roots of multiplicity 2 at t=4 and t=0, a root of multiplicity 1 at t=-4, and p(1)=2025. Fi

DENIUS [597]

P(x) = (x^2)(x - 4)^2(x + 4) + some constant(b)
2025 = (1^2)(1 - 4)^2(1 + 4) + b
2025 = 45 + b
b = 1980

Complete Equation:

p(x) = (x^2)(x - 4)^2(x +4) + 1980

or expanded form

p(x) = x^5 - 4x^4 - 16x^3 + 64x^2 + 1980

5 0

3 years ago

Please help me. After charging for 1/3 of an hour, a phone is at 2/5 of its full power. How long will it take the phone to charg

yanalaym [24]

Answer:

Step-by-step explanation:

5 0

3 years ago

Solve the following equation: 17x = 102

Furkat [3]

Answer:

x=6

Step-by-step explanation:

Step 1: Divide both sides by 17.

17x17=10217

x=6

3 0

3 years ago

Read 2 more answers