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2 years ago

Point A is the midpoint of segment PT

Mathematics

1 answer:

IceJOKER [234]2 years ago

8 0

Yes you are correct

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Find the number b, where b>0, such that the average value of f(x)=3−27x2 on the interval [0,b] is equal to 2.

Ymorist [56]

F(×)=3-27×2
4-1=3×3=9-27
18×2=36
ob

8 0

3 years ago

Use the confidence level and sample data to find a confidence interval for estimating the population μ. Round your answer to the

Levart [38]

Answer: Choice A.) 88.2 < μ < 93.0

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Explanation:

We have this given info:

n = 92 = sample size
xbar = 90.6 = sample mean
sigma = 8.9 = population standard deviation
C = 99% = confidence level

Because n > 30 and because we know sigma, this allows us to use the Z distribution (aka standard normal distribution).

At 99% confidence, the z critical value is roughly z = 2.576; use a reference sheet, table, or calculator to determine this.

The lower bound of the confidence interval (L) is roughly

L = xbar - z*sigma/sqrt(n)

L = 90.6 - 2.576*8.9/sqrt(92)

L = 88.209757568781

L = 88.2

The upper bound (U) of this confidence interval is roughly

U = xbar + z*sigma/sqrt(n)

U = 90.6 + 2.576*8.9/sqrt(92)

U = 92.990242431219

U = 93.0

Therefore, the confidence interval in the format (L, U) is approximately (88.2, 93.0)

When converted to L < μ < U format, then we get approximately 88.2 < μ < 93.0 which shows that the final answer is choice A.

We're 99% confident that the population mean mu is somewhere between 88.2 and 93.0

7 0

2 years ago

The triangular pyramid shown is made up of four congruent triangles. The length of the base is 8 inches, and the height of the b

Aneli [31]

Answer:

(B) Talia is correct. The lateral area can be found by approximating one large triangle, which can be found using the expression 4 (one-half (8) (6.9))

Step-by-step explanation:

Base of the Pyramid = 8 Inches

Height of the Triangular Face = 6.9 Inches

In any solid shape, the Lateral surface area is the sum of all sides except its top and bottom bases.

Since the four triangles are congruent:

Lateral Surface Area = 4 X Area of One Triangle

Area of a Triangle = $\frac{1}{2}$ X Base X Height$

Area of one Triangular Face $= \dfrac{1}{2}(8)(6.9)$

Therefore:

Lateral Surface Area $= 4\left(\dfrac{1}{2}(8)(6.9)\right)$

Therefore, Talia is correct.

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2 years ago

Uh, uh, uh, uh

likoan [24]

Answer:

is that a song you write cause it is good

Step-by-step explanation:

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2 years ago

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Vlada [557]

Answer is AAS hope this helps

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2 years ago