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taurus [48]
3 years ago
6

Felicia drove 245 miles and used 8.2 gallons of gas. At the same rate, if she drove 416 miles, how many gallons of gas will she

need? Round to the nearest tenth of a gallon. (Round to the nearest tenth.)
Mathematics
1 answer:
Anon25 [30]3 years ago
8 0

245/8.2 = 416/x
245x = 3411.2
x = 13.9
So the answer is 13.9 gallons

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The volumes of two cylindrical cans of the same shape vary directly as the cubes of their radii. If a can with a six-inch radius
Cerrena [4.2K]

Answer:

The second similar can with a radius of 24-inch radius will hold 12 gallons

Step-by-step explanation:

The given parameters are;

The volumes of the cylindrical can ∝ (The radius of the cans)³

The volume of first can, V₁ = 1¹/₂ pints

The radius of the first can, r₁ = 6-inch

The radius of the second can, r₂ = 24-inch

Therefore, we have;

V ∝ r³

V = k × r³

∴ 1¹/₂ pints ∝ (6 in.)³

1¹/₂ pints = 43.3125 in³

∴ 43.3125 in³ = k × 216 in.³

The constant of proportionality, k = 43.3125/216 = 0.2005208333

Therefore, we have for the second can, we have;

V₂ = k × r₂³ = 43.3125/216 × (24 in.)³ = 2772 in.³

The volume of the second can = 2772 in.³

1 in.³ = 0.004329 gallons

∴ 2772 in.³ = 2772 × 0.004329 gallons = 12 gallons

Therefore, the volume the second similar can with a 24-inch radius will hold = 12 gallons.

8 0
3 years ago
Help 6th grade math i will give brainliest
andriy [413]

Answer:

1) 125

2) 1

3) 27

Step-by-step explanation:

1) 5*5*5=

125

2) whenever there is an exponent of 0, the number is 1

3) 3*3*3=

27

8 0
3 years ago
What is the slope of the line which passes through (1, 4) and (0, 1)?
madam [21]
3/1 is the slope............,
7 0
3 years ago
Jordan is preparing serving of baby carrots. He has 96 baby carrots, each serving is 12 carats, how many shearings can Jordan pr
lesantik [10]

Answer: See explanation

Step-by-step explanation:

Since we given the information that Jordan is preparing serving of baby carrots and that he has 96 baby carrots, while each serving is 12 carats.

The number of shearings that Jordan can prepare will be:

= 96 / 12

= 8

From the above calculation, there won't be any carrots left since we do not have a remainder.

5 0
3 years ago
2. Suppose over several years of offering AP Statistics, a high school finds that final exam scores are normally distributed wit
nirvana33 [79]

Answer:

By the Central Limit Theorem, the mean is 78, the standard deviation is s = \frac{6}{\sqrt{n}} and the shape is approximately normal.

Step-by-step explanation:

Central Limit Theorem

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

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

Mean of 78 and a standard deviation of 6

This means that \mu = 78, \sigma = 6

Samples of n:

This means that the standard deviation is:

s = \frac{\sigma}{\sqrt{n}} = \frac{6}{\sqrt{n}}

What are the mean, standard deviation, and shape of the distribution of x-bar for n?

By the Central Limit Theorem, the mean is 78, the standard deviation is s = \frac{6}{\sqrt{n}} and the shape is approximately normal.

6 0
3 years ago
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