Voltage = 330 v Current = 4 amps Resistance =

The number of responses to a survey are shown in the Pareto chart. The survey asked 1052 adults how they would grade the quality

Goryan [66]

Answer: (a) P(no A) = 0.935

(b) P(A and B and C) = 0.0005

(c) P(D or F) = 0.379

(d) P(A or B) = 0.31

Step-by-step explanation: Pareto Chart demonstrates a relationship between two quantities, in a way that a relative change in one results in a change in the other.

The Pareto chart below shows the number of people and which category they qualified each public school.

(a) The probability of a person not giving an A is the difference between total probability (1) and probability of giving an A:

P(no A) = $1-\frac{68}{1052}$

P(no A) = 1 - 0.065

P(no A) = 0.935

b) Probability of a grade better than D, is the product of the probabilities of an A, an B and an C:

P(A and B and C) = $(\frac{68}{1052})(\frac{258}{1052})(\frac{327}{1052})$

P(A and B and C) = $\frac{5736888}{1164252608}$

P(A and B and C) = 0.0005

c) Probability of an D or an F is the sum of probabilities of an D and of an F:

P(D or F) = $\frac{269}{1052} +\frac{130}{1052}$

P(D or F) = $\frac{399}{1052}$

P(D or F) = 0.379

d) Probability of an A or B is also the sum of probabilities of an A and of an B:

P(A or B) = $\frac{68}{1052} +\frac{258}{1052}$

P(A or B) = $\frac{326}{1052}$

P(A or B) = 0.31

7 0

3 years ago

Let AB = 24, AC = 10 and BC = 26.

nata0808 [166]

Answer:

a) 24

b) 10

c) 12/13

d) 5/13

e) 12/5

Step-by-step explanation:

a) We can see that the leg opposite <C is AB, and we are given AB = 24

b) We can see the leg adjacent to <C is AC, and we are given that AC = 10

c) The trig function sine is equal to

$\frac{opposite}{hypotenuse}$

The opposite, AB, is 24, and the hypotenuse, BC, is 26. We can plug those numbers in:

$sin(c) = \frac{24}{26} = \frac{12}{13}$

d)The trig function cosine is equal to

$\frac{adjacent}{hypotenuse}$

The adjacent, AC, is 10, and the hypotenuse, BC, is 26. We can plug those numbers in:

$cos(c) = \frac{10}{26} = \frac{5}{13}$

d)The trig function tangent is equal to

$\frac{opposite}{adjacent}$

The opposite, AB, is 24, and the adjacent, AC, is 10. We can plug those numbers in:

$tan(c) = \frac{24}{10} = \frac{12}{5}$

4 0

3 years ago

The inventor of a new game believes that the variable cost for producing the game is $0.90 per unit and the fixed costs are $620

nikdorinn [45]

Answer:

Step-by-step explanation:

Let x represent the number of units of games sold.

The inventor of a new game believes that the variable cost for producing the game is $0.90 per unit and the fixed costs are $6200. It means that the total variable cost for x units would be

0.9 × x = 0.9x

The inventor sells each game for $1.69. This means that the total revenue from x units of games sold would be

1.69 × x = 1.69x

The total cost for a business is the sum of the variable cost and the fixed costs. Therefore, the total cost for the number of games sold would be

C = 6200 + 0.9x

Profit = Revenue - total cost

Therefore,

Profit = 1.69x - (6200 + 0.9x)

= 1.69x - 0.9x - 6200

= 0.79x - 6200

8 0

3 years ago

Solve the logarithmic equation. Round to the nearest ten-thousandth if necessary. 3 log 2x = 4

ch4aika [34]

3 log 2x = 4

==> log 2x = 4/3

==> 2x = 10^(4/3)

==> x = \frac{10^(4/3)}{2}

7 0

3 years ago

Solve for x. Express the answer in simplest form. 2/1 = 8x - 2/ 9

oksano4ka [1.4K]

2=8x-2/9
add 2/9 to both sides
2 and 2/9=8x
2=18/9
2 and 2/9=18/9+2/9=20/9
20/9=8x
multiply both sides by 9
20=72x
divide boht isdes by 72
20/72=x=5/18

4 0

3 years ago