Let ​g(x)=3x−1 and ​f(x)=x2+1. Find ​(g◦​f)(−5​).
​(g◦​f)(−5​)=nothing ​(Simplify your​ answer.)

Answer

$266.66

Step-by-step explanation:

We have here ,

We can use the formula of SI to calculate the SI . After adding it to principal we will get the amount .

⇒ SI = P × R × T / 100

⇒ SI = $ 200 × 16 × 10 / 12 × 100

⇒ SI = $ 26.66

Now Calculate amount as ,

⇒ A = SI + P

⇒ A = $ 200 + $ 26.66

⇒ A = $ 226.66

Answer:

140 cm^2

Step-by-step explanation:

Formula for area of a Parallelogram: base*height

14 cm * 10cm = [tex]140 cm^{2}[/tex]

Answer:

A. Normal

B. Between 2.078 and 2.722 visits.

C. About 90 percent of these confidence intervals will contain the true population mean number of visits per week and about 10 percent will not contain the true population mean number of visits per week.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

x% confidence interval:

A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.

Question A:

By the Central Limit Theorem, normal.

Question B:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.9}{2} = 0.05[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.05 = 0.95[/tex], so Z = 1.645.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 1.645\frac{2.9}{\sqrt{219}} = 0.322[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 2.4 - 0.322 = 2.078 visits

The upper end of the interval is the sample mean added to M. So it is 2.4 + 0.322 = 2.722 visits.

Between 2.078 and 2.722 visits.

Question c:

90% confidence level, so 90% will contain the true population mean, 100 - 90 = 10% wont.

About 90 percent of these confidence intervals will contain the true population mean number of visits per week and about 10 percent will not contain the true population mean number of visits per week.

Answer:

Alternative Hypothesis:H₁: μ ≠ 0.41

Step-by-step explanation:

Step(i):-

Given that the newscast reaches 41% of the viewing audience in the area

The mean of the Population = 0.41

Given that In a survey of 100 viewers, 36% indicated that they watch the late evening news on this local CBS station

Given that the mean of the sample = 0.36

Step(ii):-

Null hypothesis: The sample statistic does not differ significantly from the hypothetical parameter value.

Given data

Null hypothesis: H₀ : μ = 0.41

Alternative Hypothesis: Any hypothesis which is complementary to the Null hypothesis

Alternative Hypothesis:H₁: μ ≠ 0.41

Answer:

d.

Step-by-step explanation:

line AG is the answer because a tangent line to a circle is a line that touches the circle at exactly one point, never entering the circle's interior.

Answer:

d. line AG

Step-by-step explanation:

A tangent is a line that just 'touches' the curve of a circle, and doesn't intersect it.

We can see that since AG touches the circle, and since the other lines all intersect the circle, the tangent here is AG

Answer: 42 is not a square of a whole number

Step-by-step explanation: 81= 9², 100= 10², x²= x·x, 6²= 36 and 7²= 49

Answer:

a) The 95% confidence interval to estimate μ is (7.435, 8.045) hours.

b) The 90% confidence interval for the mean percentage of study time that occurs in the 24 hours prior to the exam is (41.079%, 45.481%).

Step-by-step explanation:

Question a:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 1.96\frac{3.3}{\sqrt{451}} = 0.305[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 7.74 - 0.305 = 7.435 hours

The upper end of the interval is the sample mean added to M. So it is 7.74 + 0.305 = 8.045 hours.

The 95% confidence interval to estimate μ is (7.435, 8.045) hours.

Question b:

90% confidence interval means that [tex]Z = 1.645[/tex]

The margin of error is:

[tex]M = 1.645\frac{21.96}{\sqrt{451}} = 1.701[/tex]

43.78 - 1.701 = 41.079%

43.78 + 1.701 = 45.481%

The 90% confidence interval for the mean percentage of study time that occurs in the 24 hours prior to the exam is (41.079%, 45.481%).

Answer:56

Step-by-step explanation:

Answer:

I'm pretty sure it's 10,000

Let a_1 = 5

Let d = 5 = common difference

S_n = a_1 + (n - 1)d

S_n = 5 + (n - 1)4

Answer:

28,436,297,825

30,943,267,101

45,000,000,000

Step-by-step explanation:

ur welcome

Answer:

Fail to reject the null because the p-value is greater than significance level (0.05). Therefore we have convincing evidence that the proportion of drivers wearing a seat belt is equal to 40%.

Step-by-step explanation:

I am assuming that the significance level is 0.05, so we would fail to reject the null, because the p-value is 0.676 which is greater than the significance level. Whenever the p-value is greater than the signifigance level we fail to reject the null.

Answer:

N is the midpoint.

Step-by-step explanation:

9514 1404 393

Answer:

  0

Step-by-step explanation:

f(x) = x^3 is an odd function, so is symmetrical about the origin. Its average value on any symmetrical interval around the origin will be 0.

The average value is 0.

Answer: 2880 hours

Explanation: 120 days times 24 hours

Answer:

the angles are 120.1 and 59.9

Step-by-step explanation:

supplementary means that the add up to be 180

I made a system of equations and to make thing faster I graphed them but if you wanted you could solve fully

x+y=180

y-60.2=x

Answer:

over 1/2 own a dog

Step-by-step explanation:

Answer:

Over 1/2 of students own a dog.

Step-by-step explanation:

Total number of students: 25 Add the students owning different types of pets

13/25 Number of students owning dogs divided by total number of students

13/26 = 1/2; therefore 13/25 > 1/2

Answer:

20 oz.

Step-by-step explanation:

Hope this helps ! :)

Answer:

5^3 = 125

Step-by-step explanation:

5^3

5 x 5 x 5

=125

Answer:

[tex]5^{3} = 125[/tex]

Step-by-step explanation:

Mark me brainllest

Answer:

Step-by-step explanation:

Hope this helps

Answer:

What do you mean? If you are talking about the Community not always answering Questions well that means your they don't know the right Answer

the Mods are Annoying and very skeptic of the Guidelines of Brainly.

Answer:

[tex]Range: 0 \le y \le 400[/tex]

Step-by-step explanation:

Given

[tex]Gas = 25 gallons[/tex]

[tex]Distance = 400miles[/tex] --- max

Required

The range of the function

The graph is not given; however, the question can be answered without the graph.

From the question, we understand that the truck can hold up to 25 gallons.

This represents the domain (i.e. from 0 to 25)

When the truck is empty (i.e. no gas in it), the truck cannot move any distance (0 miles).

When the truck is filled up (i.e. 25 gallon), the truck can move up to 400 miles.

This represents the range (i.e. from 0 to 400 miles)

Hence, the range is:

[tex]Range: 0 \le y \le 400[/tex]

Answer:

april

Step-by-step explanation:

Answer:

April is the fourth month of the year! Hope this helps.

Step-by-step explanation:

Answer:

You will pay 70% of the original price. You will pay $17.50

Step-by-step explanation:

100% is full price because 100%=1 (one whole).

100% - 30% = 70%

70% = 0.7

0.7 multiplied by $25 is $17.50

That's the answer

x = - 1/22

Answer:

Pretty sure it would be b because it keeps scaling as the x axis continues with time

Step-by-step explanation:

6/5is the answer................

Answer:

1 and 1/5

Step-by-step explanation:

6 times 1/5 is 1/5+1/5+1/5+1/5+1/5+1/5 which equals to 6/5 which also equals to 1 and 1/5

Answer:

3/7

Step-by-step explanation:

Answer:

61.73 ft ^2

Step-by-step explanation:

area of rectangle

14x8 = 112

area of circle

π(4)(4) = 50.27

subtract

112-50.27 = 61.73

Answer:

Step-by-step explanation:

Given system:

Subtracting the second equation from the first:

It ends here

============================

Would be better to add the equations to eliminate y and solve the system:

Find y:

Solution (0.2, 1.4)