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Thepotemich [5.8K]
3 years ago
15

Write the domain & range of the function using interval notation.

Mathematics
1 answer:
fgiga [73]3 years ago
5 0
Option A will be the correct answer
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About 7% of the population has a particular genetic mutation. 400 people are randomly selected. Find the standard deviation for
Deffense [45]

Answer:

5.10 people

Step-by-step explanation:

Calculation to Find the standard deviation for the number of people with the genetic mutation

Using this formula

Standard deviation = √ ( n * p * q)

Where,

n = 400

p = .07

q = 100%-7% = 93% or .93

Let plug in the formula

Standard deviation =√400*07*.93

Standard deviation =√26.04

Standard deviation = 5.10 people

Therefore the standard deviation for the number of people with the genetic mutation is 5.10 people.

5 0
2 years ago
The life of a manufacturer's compact fluorescent light bulbs is normal, with mean 12,000 hours and standard deviation 2,000 hour
vitfil [10]

Z value is a numerical  measurement that describe a value relationship to the mean of a group of values. The standard deviations is 1.25 above the mean is 14,500 hours.

<h3>Given information-</h3>

The mean for the bulb is 12,000 hours.

The standard deviation for the bulb is 2000 hours.

Sample value is 14500.

To find out the how many standard deviation is 14500 mean away from the mean the z value of the mean should be calculated.

<h3>Z value</h3>

Z value is a numerical  measurement that describe a value relationship to the mean of a group of values. Z value is the ratio of the difference of the sample value x and mean \mu to the standard deviation. Thus the z value for the given mean \sigma is,

z=\dfrac{x-\mu}{\sigma}

z=\dfrac{14500-1200}{2000}

z=1.25

Thus the standard deviations is 1.25 above the mean is 14,500 hours.

Learn more about the z value here;

brainly.com/question/62233

4 0
2 years ago
Which trinomials are perfect square trinomials?
lora16 [44]
Perfect square is
a²+2ab+b²

so just take the square root of the end ones and add then double to get middle term


A.
m+10=10m, doubled is 20m
nope

B.
m+5=5m, doubled is 10m, yep

C.
m+2√15=fancy thing that won't get to 36m

D.
m+12=12m, doubled is 24m, yep


B and D
3 0
3 years ago
Read 2 more answers
Can you help me with this question show your work of how you got your answer this due in 16 minutes NO LINKS OR DOING IT JUST FO
GrogVix [38]

Answer:

Nevermind im sorry because there's a vertex that isn't a whole number and i dont know how to do that, but the first ones are 6,8 and -6, 3 for the vertexes of the pre image, I dont  know how to do the other one. For the other image, one is 9, 7 and the other one is -3, 2. Again, I don't know how to do the other ones but I hope these at least help

4 0
2 years ago
Consider a student loan of ​$20,000 at a fixed APR of 12​% for 15 years. a. Calculate the monthly payment.​(Do not round until t
joja [24]

Answer:

a. $240.03

b. $43,205.04

c. Principal = 46.29%

   Interest = 53.71%

Step-by-step explanation:

The computation is shown below:

a. For computing the monthly payment we need to apply the PMT formula i.e to be shown in the attachment below

Given that,  

Present value = $25,000

Future value or Face value = 0

RATE = 12% ÷ 12 months = 1%

NPER = 15 years × 12 months = 180 months

The formula is shown below:  

= PMT(RATE;NPER;-PV;FV;type)  

The present value come in negative  

So, after applying the above formula the monthly payment is $240.03

b. Now the total amount paid is

= Monthly payment × time period

= $240.03 × 180 months

= $43,205.04

c. Now the percentage is

For principal

= $25,000 ÷ $43,205.04 × 100

= 46.29%

And, for the interest, it is

= 100% - 46.29%

= 53.71%

6 0
3 years ago
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