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3 years ago

14

A survey of 423 people shows that 321 have never received a traffic violation. Find the sample proportion of those who have rece

ived a traffic violation. *
1 point
A. 13%
B. 24%
C. 32%
D. 76%

1 answer:

OLEGan [10]3 years ago

6 0

24% :)

(please mark me as brainliest) <3

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What is the equation when y=5x+4 is reflected over the x-axis, y-axis & y=x?

tigry1 [53]

Answer:

A) $y=-5x-4$

B) $y=-5x+4$

C) $y=\frac{x-4}{5}$

Step-by-step explanation:

So we have the equation:

$y=5x+4$

Let's write this in function notation. Thus:

$y=f(x)=5x+4$

A)

To flip a function over the x-axis, multiply the function by -1. Thus:

$f(x)=5x+4\\-(f(x))=-(5x+4)$

Simplify:

$-f(x)=-5x-4$

B) To flip a function over the y-axis, change the variable x to -x. Thus:

$f(x)=5x+4\\f(-x)=5(-x)+4$

Simplify:

$f(-x)=-5x+4$

C) A reflection over the line y=x is synonymous with finding the inverse of the function.

To find the inverse, switch x and f(x) and solve for f(x):

$f(x)=5x+4$

Switch:

$x=5f^{-1}(x)+4$

Subtract 4 from both sides:

$x-4=5f^{-1}(x)$

Divide both sides by 5:

$f^{-1}(x)=\frac{x-4}{5}$

And we're done :)

7 0

3 years ago

What is the area of this circle?

Ilia_Sergeevich [38]

Answer:

12.57

Step-by-step explanation:

Not rounded it would be 12.56637

If you are just replacing pi with 3.14. than your answer would be exactly 12.56.

4 0

2 years ago

The most recent census for a city indicated that there were 919,716 residents. The population of the city is expected to increas

OLEGan [10]

Answer:

1,474,951.

Step-by-step explanation:

Given a population that increases by a constant percentage, we can model the population's growth using the exponential model.

$P(t)=P_o(1+r)^t,$ where \left\{\begin{array}{lll}P_o=$Initial Population\\r$=Growth rate\\$t=time (in years)\end{array}\right\\P_o=919,716\\r=3.7\%=0.037\\$t=13 years$

Therefore, the population of the city in 13 years time will be:

$P(t)=919,716(1+0.037)^{13}\\\\=919,716(1.037)^{13}\\\\=1,474,950.9\\\\\approx 1,474,951$

The population be at that time will be approximately 1,474,951.

3 0

3 years ago

What does one eight equals

zvonat [6]

1/8 the fraction?

two eighths = 2/8=1/4

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3 years ago

Read 2 more answers

Hillary needs a few new items for the start of softball season. She found some great sales! Help her find out the price she will

kolezko [41]

Answer:Hillary will pay $35.00 for softball glove, $20.00 for soft ball bat and $40.00 for cleats

Step-by-step explanation:

Step 1

A percentage off of a price of an item is the amount that can be saved from purchasing that item, it can also be referred as a discount given on an item purchase.

Step 2 --- Calculation

Actual Price of Softball glove= $50

Discount= 50 x 30/100 = $15.00

Price to pay= $50 - $15.00 = $35.00

Actual Price of soft ball bat= $50

Discount= 50 x 60/100 = $30.00

Price to pay= $50 - $30.00 = $20.00

Actual Price of cleats= $50

Discount= 50 x 20/100 = $10.00

Price to pay= $50 - $10.00 = $40.00

Therefore, Hillary will pay $35.00 for softball glove, $20.00 for soft ball bat and $40.00 for cleats

4 0

3 years ago