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tatuchka [14]
3 years ago
6

Concerns about climate change and CO2 reduction have initiated the commercial production of blends of biodiesel (e.g., from rene

wable sources) and petrodiesel (from fossil fuel). Random samples of 47 blended fuels are tested in a lab to ascertain the bio/total carbon ratio. (a) If the true mean is .9560 with a standard deviation of 0.0080, within what interval will 99 percent of the sample means fall? (Round your answers to 4 decimal places.) The interval is from to (b) If the true mean is .9560 with a standard deviation of 0.0080, what is the sampling distribution of X¯¯¯ ? Exactly normal with μ = .9560 and σ = 0.0080. Approximately normal with μ = .9560 and σ = 0.0080. Exactly normal with μ = .9560 and σx¯= 0.0080/47−−√. Approximately normal with μ = .9560 and σx¯= 0.0080/47−−√. 1 2 3 4 (c) What theorem did you use to answer part (b)?
1. Central Limit Theorem
2. Chebyshev's Theorem
3. Pythagorean Theorem
4. Law of Large Numbers
Mathematics
1 answer:
Nat2105 [25]3 years ago
5 0
3 is the correct answer
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The perimeter of triangle ABC is 82 inches. The triangle is rotated about a line that passes through points B and D.
Musya8 [376]

Answer:

A cone with base radius of 17 in

Step-by-step explanation:

Given

Triangle ABC

Where

AB = BC = 24in

D = Midpoint of AC

Required

Which best describes the resulting three-dimensional figure?

First, the length of the third side of the triangle has to be calculated

The sides of triangle ABC are AB, AC and BC

Given that the perimeter = 82 in

AB + AC + BC = 82

Recall that AB = BC = 24in; The equation becomes

24 + AC + 24 = 82

Collect like terms

AC = 82 - 24 - 24\\AC = 34

Given that, the triangle is rotated at D, the midpoint of AC

The length of the midpoint has to be calculated

D = \frac{1}{2}AC

D = \frac{1}{2} * 34

D = \frac{34}{2}

D = 17

At this point, we can dismiss options C and D.

This is because; a triangular pyramid is formed by more than 1 triangles (at least 3 triangle) and in this case, we're dealing with only 1 triangle.

So, we have option A and B to select from.

When the triangle is rotated at point D, it generates a cone such that the radius of the cone is the distance at point D.

This implies that, a cone with base radius D is generated.

Recall that D = 17.

Hence, <em>A cone with base radius of 17 in</em>

7 0
3 years ago
Read 2 more answers
Stephanie has $152 in the bank she with drawl $20 then she deposits $84 write an addition expression to represent this situation
Paraphin [41]

152+(-20)+84=

236+(-20)=

236-20=

216

3 0
3 years ago
2 cards are drawn from a standard deck without replacement. What is the probability that at least one of the cards drawn is an a
olya-2409 [2.1K]

Answer:

<h2>The answer is 0.1493.</h2>

Step-by-step explanation:

In a standard deck there are 52 cards in total and there are 4 aces.

Two cards can be drawn from the 52 cards in ^{52}C_2 = \frac{52!}{50!\times2!} = 51\times26 ways.

There are (52 - 4) = 48 cards rather than the aces.

From these 48 cards 2 cards can be drawn in ^{48}C_2 = \frac{48!}{46!\times2!} = 47\times24 ways.

The probability of choosing 2 cards without aces is \frac{47\times24}{51\times26} = \frac{188}{221}.

The probability of getting at least one of the cards will be an ace is 1 - \frac{188}{221} = \frac{33}{221} = 0.1493.

6 0
3 years ago
To decorate a cake, you make a shade of purple icing using 12 drops of red food coloring for every 18 drops of blue.
LUCKY_DIMON [66]

Answer:

9

Step-by-step explanation:

5 0
2 years ago
A family is trying to pick from different shades of paint for their living room. They have narrowed it down to three different b
slava [35]
The correct answer is 3/9
4 0
3 years ago
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