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NARA [144]
2 years ago
8

Supervisor: "I am giving you 10 business days to make a 4% improvement on your average quality score. Your current average quali

ty score is 82.”
Employee: "Then I will need an average quality score of __________ to meet this goal."
Mathematics
1 answer:
kobusy [5.1K]2 years ago
5 0

"Then I will need an average quality score of <u>3.28</u>  to meet 85.28 goal."

<u>Step-by-step explanation</u>:

  • current average quality score = 82
  • improvement on average quality score = 4% of 82

⇒ (4/100)\times82

⇒ 82/25

⇒ 3.28

The improved average quality score = 82+3.28 = 85.28

The employee needs an average quality score of 3.28 to meet the goal of 85.28

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The value of the x- intercept for the graph of 4x-5y=40 is
andrew-mc [135]
4x - 5y = 40

4x = 40 + 5y
x = 10 + 5/4y 

The x intercept is 10. 




8 0
2 years ago
Terrence buys a new car for $20,000. The value of the car depreciates by 15% each year. If f(x) represents the value of the car
Lerok [7]

Answer

The function represents the car’s value after x years.

f(x) = 20,000(0.85)x

Reason

As given

Terrence buys a new car for $20,000.

The value of the car depreciates by 15% each year.

15 % is written in the decimal form

= \frac{15}{100}

= 0.15

Thus

The decrease in the value of car is represented by = a (1 - r)× t

Where a is the original cost

r is the depreciates rate in decimal form

t is time in years.

Here a = $20000 ,r = 0.15 , t = x years

The value of car after x years = 20,000 (1 -0.15)x

                                                 = 20000(0.85)x

Therefore the the value of the car after x years is represented by  f(x) = 20,000(0.85)x .

4 0
2 years ago
Read 2 more answers
The graph shows the distance Kendrick walks in different lengths of time.
Vlad1618 [11]

Answer:

1) 5

2) 0.2

Step-by-step explanation:

The complete question is attached below.

The x-axis represents the time in hours and y-axis represents the distance in kilometers.

The first question asks how many kilometers, does Kendrick walk per hour. The straight line represents the distance traveled at various amounts of time.

The point marked on the graph is against time = 1 hour and Distance = 5 km. So this shows:

Kendrick walks 5 kilometers in 1 hour.

In next part, we have to find how much time Kendrick takes to walk 1 kilometer.

Since, we know that:

Kendrick walks 5 kilometers in time = 1 hour

Dividing both sides by 5, we can write:

Kendrick walks 1 kilometer in time = 1/5 hour = 0.2 hour

So, Kendrick takes 0.2 hours to walk 1 kilometer.

7 0
2 years ago
Read 2 more answers
if BD is perpendicular to AC M angle DBE equals 2x - 1 + m angle CBE equals 5x - 42 find the value of x​
Paha777 [63]
<h2>Answer:</h2>

<h2>Step-by-step explanation:</h2>

I've drawn a graph in order to a better understanding of this problem. We know that:

BC is perpendicular to AC

∠DBE = 2x - 1

∠CBE = 5x - 42

Let's call the intersection of line BC and AC the point P, so:

∠P=90°

And points B, P and C form the triangle ΔBPC. On the other hand, ∠CBE and ∠PCB are Alternate Interior Angles, so:

∠PCB = ∠CBE = 5x - 42

Moreover:

∠PBC = 2x - 1 - (5x - 42)

∠PBC = 2x - 1 - 5x + 42

∠PBC = -3x + 41

The internal angles of any triangle add up to 180°. Hence for ΔBPC:

90° + ∠PBC + ∠PCB  = 180°

90° - 3x + 41  + 5x - 42  = 180°

2x + 89 = 180

2x = 91

x = 45.5°

7 0
2 years ago
The factory quality control department discovers that the conditional probability of making a manufacturing mistake in its preci
Anni [7]

Answer:

The probability that a defective ball bearing was manufactured on a Friday = 0.375

Step-by-step explanation:

Let the event of making a mistake = M

The event of making a precision ball bearing production on Monday = Mo

The event of making a precision ball bearing production on Tuesday = T

The event of making a precision ball bearing production on Wednesday = W

The event of making a precision ball bearing production on Thursday = Th

The event of making a precision ball bearing production on Friday = F

the conditional probability of making a manufacturing mistake in its precision ball bearing production is 4% on Tuesday, P(M|T) = 4% = 0.04

4% on Wednesday, P(M|W) = 0.04

4% on Thursday, P(M|Th) = 0.04

8% on Monday, P(M|Mo) = 0.08

and 12% on Friday = P(M|F) = 0.12

The Company manufactures an equal amount of ball bearings (20 %) on each weekday, Hence, the probability that a random precision ball bearing was made on a particular day of the week, is mostly the same for all the five working days.

P(Mo) = 0.20

P(T) = 0.20

P(W) = 0.20

P(Th) = 0.20

P(F) 0.20

The probability that a defective ball bearing was manufactured on a Friday = P(F|M)

P(F|M) = P(F n M) ÷ P(M)

P(F n M) = P(M n F)

P(M) = P(Mo n M) + P(T n M) + P(W n M) + P(Th n M) + P(F n M)

We can obtain each of these probabilities by using the expression for conditional probability.

P(Mo n M) = P(M|Mo) × P(Mo) = 0.08 × 0.20 = 0.016

P(T n M) = P(M|T) × P(T) = 0.04 × 0.20 = 0.008

P(W n M) = P(M|W) × P(W) = 0.04 × 0.20 = 0.008

P(Th n M) = P(M|Th) × P(Th) = 0.04 × 0.20 = 0.008

P(F n M) = P(M|F) × P(F) = 0.12 × 0.20 = 0.024

P(M) = P(Mo n M) + P(T n M) + P(W n M) + P(Th n M) + P(F n M)

P(M) = 0.016 + 0.008 + 0.008 + 0 008 + 0.024 = 0.064

P(F|M) = P(F n M) ÷ P(M)

P(F n M) = P(M n F) = 0.024

P(M) = 0.064

P(F|M) = P(F n M) ÷ P(M) = (0.024/0.064) = 0.375

Hope this Helps!

4 0
2 years ago
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