1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Maksim231197 [3]
3 years ago
12

Use the functions f(x) and g(x) to answer the question. F(x)=x²-16; g(x)=x+4

Mathematics
1 answer:
AnnZ [28]3 years ago
7 0

(x^2) - 16 / x+4 = (x-4)(x+4) / (x+4) = x-4, x not equal to -4

D is the answer.

You might be interested in
Use the number 3, 3, 5, and 6 only once, along with +, -, ×, ÷, or () to get a result of 3 ​
gayaneshka [121]

Answer:

5 x 3 + 3 divided by 6 = 3

Step-by-step explanation:

The first thing is to find a way to arrange the numbers. Try every operation until you can get the answer. for this case, i put the answer above.

4 0
2 years ago
The resting heart rate for an adult horse should average about µ = 47 beats per minute with a (95% of data) range from 19 to 75
KatRina [158]

Answer:

a. 0.0582 = 5.82% probability that the heart rate is less than 25 beats per minute.

b. 0.1762 = 17.62% probability that the heart rate is greater than 60 beats per minute.

c. 0.7656 = 76.56% probability that the heart rate is between 25 and 60 beats per minute

Step-by-step explanation:

Empirical Rule:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean:

\mu = 47

(95% of data) range from 19 to 75 beats per minute.

This means that between 19 and 75, by the Empirical Rule, there are 4 standard deviations. So

4\sigma = 75 - 19

4\sigma = 56

\sigma = \frac{56}{4} = 14

a. What is the probability that the heart rate is less than 25 beats per minute?

This is the p-value of Z when X = 25. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{25 - 47}{14}

Z = -1.57

Z = -1.57 has a p-value of 0.0582.

0.0582 = 5.82% probability that the heart rate is less than 25 beats per minute.

b. What is the probability that the heart rate is greater than 60 beats per minute?

This is 1 subtracted by the p-value of Z when X = 60. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{60 - 47}{14}

Z = 0.93

Z = 0.93 has a p-value of 0.8238.

1 - 0.8238 = 0.1762

0.1762 = 17.62% probability that the heart rate is greater than 60 beats per minute.

c. What is the probability that the heart rate is between 25 and 60 beats per minute?

This is the p-value of Z when X = 60 subtracted by the p-value of Z when X = 25. From the previous two items, we have these two p-values. So

0.8238 - 0.0582 = 0.7656

0.7656 = 76.56% probability that the heart rate is between 25 and 60 beats per minute

3 0
2 years ago
If 2/3 of amount x is 60, then what is 4/5 of x
frozen [14]
I think it's 72 then?
8 0
3 years ago
1. When given the expression 5^3, what should you do to solve?
UNO [17]

Answer:

its b) 5×5×5

Step-by-step explanation:

a) 5×3 is 15

b) 5×5×5 is 5^3 or in simple form its 125

c) 3×3×3×3×3 = 3^5 or in simple form its 243

You should solve 5^3 as

= 5×5×5

= 125

Plzz mark me as brainliest :)★

5 0
2 years ago
The BP station sold gas for $2.49 per gallon. This week their gas prices are $2.61 a gallon. What was the percent increase in ga
Karolina [17]

Answer:

.12%

Step-by-step explanation

2.61-2.49= 0.12

.12%

5 0
2 years ago
Other questions:
  • The class has 360 unit cubes in a bag johnnie divides the unit cubes equally among 8 groups how many unit cubes will each group
    8·2 answers
  • Find the 1st- 4th nTH term and then find the 10th term, rule is 5-2n
    5·1 answer
  • 2x+4y=12 put it on y=mx+b
    11·1 answer
  • Factor the expression completely
    13·1 answer
  • For the 2009 Major League Baseball, International badminton league and National Football League seasons, based on average ticket
    10·1 answer
  • M14 + 4 = 8 solve for m with steps
    7·1 answer
  • Will give brainleist Write an equation in slope intercept form. (Remember you need to find the “b,” using (x,y)
    10·1 answer
  • Ken has an investment account which compounds interest continuously at a rate of 3.4%. After 4 years, he has $4400 in the accoun
    6·2 answers
  • Which function is (x-1) a real root?
    12·1 answer
  • In a study of cell phone usage and brain hemispheric​ dominance, an Internet survey was​ e-mailed to 6965 subjects randomly sele
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!