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
Llana [10]
3 years ago
11

Given the following functions, find g(f(x)). f(x) = 2x + 1 g(x) = x2 + 6​

Mathematics
1 answer:
Verdich [7]3 years ago
6 0

Answer:

Step-by-step explanation:

g(x) = x^2 + 6

f(x^2 + 6) = 2(x^2 + 6) + 1 = 2x^2 + 12 + 1 = 2x^2 + 13

You might be interested in
The average salary of all residents of a city is thought to be about $39,000. A research team surveys a random sample of 200 res
Rina8888 [55]

Answer:

z=\frac{40000-39000}{\frac{12000}{\sqrt{200}}}=1.179    

p_v =2*P(z>1.179)=2*[1-P(Z    

Step-by-step explanation:

Data given and notation    

\bar X=4000 represent the average score for the sample    

s=12000 represent the sample standard deviation    

n=200 sample size    

\mu_o =39000 represent the value that we want to test    

\alpha represent the significance level for the hypothesis test.    

z would represent the statistic (variable of interest)    

p_v represent the p value for the test (variable of interest)    

State the null and alternative hypotheses.    

We need to apply a two tailed test.    

What are H0 and Ha for this study?    

Null hypothesis:  \mu = 39000    

Alternative hypothesis :\mu \neq 39000    

Compute the test statistic  

The sample size is large enough to assume the distribution for the statisitc normal. The statistic for this case is given by:    

z=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}} (1)    

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".    

We can replace in formula (1) the info given like this:    

z=\frac{40000-39000}{\frac{12000}{\sqrt{200}}}=1.179    

Give the appropriate conclusion for the test  

Since is a two tailed test the p value would be:    

p_v =2*P(z>1.179)=2*[1-P(Z    

Conclusion    

If we compare the p value and a significance level given for example \alpha=0.05 we see that p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, then the true population mean for the salary not differs significantly from the value of 39000.    

6 0
2 years ago
7. The largest of the Great Pyramids in Egypt was built with a square base,
strojnjashka [21]

Answer:

Difference between the original and current volumes = 4013140.30 cubic feet

Step-by-step explanation:

Largest pyramid has the square base with one edge = 754 feet

Area of the square base = (Side)²

                            = (754)²

                            = 568516 square feet

Volume of the pyramid = \frac{1}{3}(\text{Area of the base})(\text{Height})

                                       = \frac{1}{3}\times 568516\times 481

                                       = 91152065.3 cubic feet

After erosion,

Area of the base = (745)² = 555025 square feet

Volume of the pyramid = \frac{1}{3}(555025)(471)

                                       = 87138925 cubic feet

Difference between the original and current volumes of the pyramid

= 91152065.30 - 87138925

= 4013140.30 cubic feet

5 0
3 years ago
Can someone please answer this for me
Alenkinab [10]

Answer:

45

Step-by-step explanation:

sinv= 48/ 48sqr2

v=45*

<W= <U - <V

<W= 90 -45

<W= 45

6 0
2 years ago
Read 2 more answers
A bricklayer is able to set 2.5 bricks in one minute. How many bricks can he set in 8 hours?
pochemuha

Given:

A bricklayer is able to set 2.5 bricks in one minute.

Required:

To find the number of bricks can he set in 8 hours.

Explanation:

8 hours =480 minutes.

2.5 bricks in one minute.

So for 480 minutes,

\begin{gathered} =2.5\times480 \\  \\ =1200 \end{gathered}

Final Answer:

1,200 bricks can he set in 8 hours.

5 0
1 year ago
(9m-12)+(-3^2+15-5m)
uranmaximum [27]

Answer: 4m - 6

Step-by-step explanation:

4 0
2 years ago
Other questions:
  • An apartment as 918 square feet of carpeting. How much is this in square meters? Use the following conversion: 1 square meter is
    11·1 answer
  • If the area of the square is 36 inches squared, what is the shaded area?
    11·1 answer
  • How do you find the apothem of a pentagonal pyramid?
    13·1 answer
  • The sum of the measures of the interior angles of a triangle is equal to _____.
    8·1 answer
  • Round 24.787 to the nearest hundredth.<br> Help me plz
    10·2 answers
  • Independent random samples taken on two university campuses revealed the following information concerning the average amount of
    6·2 answers
  • What is 1230*456
    12·1 answer
  • Please help me :)<br> I need help
    5·2 answers
  • Help please! will give brainliest
    15·1 answer
  • Which is a better deal per ounce? 24 ounces for $2. 99 or 36 ounces for $4. 99?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!