Given the function f(x) = 7x² – 3x + 6. Calculate the following values:

What is the total area of the figure below?

Gnesinka [82]

Answer:

141 square inches

Step-by-step explanation:

Area of a triangle: Base*Height*1/2

Area of a trapezoid: Height * (Base1 +Base2) / 2

Triangle Base = 6

Triangle Height = 8

6*8*1/2 = 24 square inches

Trapezoid Height = 9

Trapezoid Base1 = 16

Trapezoid Base2 = 10

9*(16+10) / 2 = 117 square inches

Total = Area of triangle + Area of trapezoid

Total = 24 + 117 = 141 square inches

3 0

3 years ago

April 6,2020

Allisa [31]

Answer:

287 books

Step-by-step explanation

there was already 239 books. when the problem mentoins that Mary ADDS MORE books to the shelf, the operation is addition.

239+48=287

5 0

3 years ago

A random sample of 50 recent college graduates results in a mean time to graduate of 4.58 years, with a standard deviation of 1.

Anna007 [38]

Answer:

The 90% confidence interval for the mean time to graduate with a bachelor’s degree is (4.32, 4.84).

Yes, this confidence interval contradict the belief that it takes 4 years to complete a bachelor’s degree.

Step-by-step explanation:

The (1 - α)% confidence interval for population mean μ, when the population standard deviation is not known is:

$CI=\bar x\pm t_{\alpha/2, (n-1)}\times \frac{s}{\sqrt{n}}$

The information provided is:

$\bar x=4.58\\s=1.10\\\alpha =0.10$

Compute the critical value of t for 90% confidence interval and (n - 1) degrees of freedom as follows:

$t_{\alpha/2, (n-1)}=t_{0.10/2, (50-1)}=t_{0.05, 49}=1.671$

*Use a t-table for the probability.

Compute the 90% confidence interval for population mean μ as follows:

$CI=\bar x\pm t_{\alpha/2, (n-1)}\times \frac{s}{\sqrt{n}}$

$=4.58\pm 1.671\times \frac{1.10}{\sqrt{50}}\\=4.58\pm 0.26\\=(4.32, 4.84)$

Thus, the 90% confidence interval for the mean time to graduate with a bachelor’s degree is (4.32, 4.84).

If a hypothesis test is conducted to determine whether it takes 4 years to complete a bachelor’s degree or not, the hypothesis will be:

Hₐ: The mean time it takes to complete a bachelor’s degree is 4 years, i.e. μ = 4.

Hₐ: The mean time it takes to complete a bachelor’s degree is different from 4 years, i.e. μ ≠ 4.

The decision rule based on a confidence interval will be:

Reject the null hypothesis if the null value is not included in the interval.

The 90% confidence interval for the mean time to graduate with a bachelor’s degree is (4.32 years, 4.84 years).

The null value, i.e. μ = 4 is not included in the interval.

The null hypothesis will be rejected at 10% level of significance.

Thus, it can be concluded that that time it takes to complete a bachelor’s degree is different from 4 years.

4 0

3 years ago

((I RAISED THE POINTS AND THIS IS MULTIPLE CHOICE))

NeTakaya

Answer:

B and D

Step-by-step explanation:

Geometric sequences and series. A geometric sequence is a sequence of numbers that follows a pattern were the next term is found by multiplying by a constant called the common ratio, r.

an = ar^(n-1)

d) 1/3, 2/3, 4/3, 8/3, 16/3, . . . .

1/3 * 2 = 2/3

2/3 * 2 = 4/3

4/3 * 2 = 8/3

where r = 2, constant multiplier is 2. //Answer

b) 320, 80, 20, 5, 1.25, . . . . .

320 * 1/4 = 80

80 * 1/4 = 20

20 * 1/4 = 5

r = 1/4 //Answer

Answer: B and D

//Hope this helps.

4 0

3 years ago

1) Rotate the following 180°.

NARA [144]

The explanation is in the picture

8 0

3 years ago