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2 years ago

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A motorist traveled 311 miles on 12 gallons of gas. To the nearest tenth, how many miles can the motorist travel on one gallon o

f gas?

2 answers:

allsm [11]2 years ago

6 0

The motorist can travel 25.92 miles on one gallon of gas

Goshia [24]2 years ago

3 0

On one gallon of gas a motorist can travel 25.92 miles

i hope this helps

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The inspection division of the Lee County Weights and Measures Department is interested in estimating the actual amount of soft

cluponka [151]

Answer:

The 98% confidence interval estimate of the true average amount of soft drink in each bottle is between 2.97 liters and 3.01 liters.

Step-by-step explanation:

We have the standard deviation for the sample, so we use the t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 64 - 1 = 63

98% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 63 degrees of freedom(y-axis) and a confidence level of $1 - \frac{1 - 0.98}{2} = 0.99$ . So we have T = 2.387

The margin of error is:

$M = T\frac{s}{\sqrt{n}} = 2.387\frac{0.06}{\sqrt{64}} = 0.02$

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 2.99 - 0.02 = 2.97 liters

The upper end of the interval is the sample mean added to M. So it is 2.99 + 0.02 = 3.01 liters

The 98% confidence interval estimate of the true average amount of soft drink in each bottle is between 2.97 liters and 3.01 liters.

7 0

2 years ago

Uhhh what is 2+2-2+2

Ierofanga [76]

Its 4 because 2+2 is 4 and then you're subtracting 2 and then adding 2 again so its 4

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2 years ago

Read 2 more answers

A pencil consists of a cone stacked on top of a cylinder. The diameter of the cylindrical base of the pencil is 10 mm and the he

11Alexandr11 [23.1K]

Answer:

790π

Step-by-step explanation:

We are given;

Diameter of cylinder;d = 10 mm

So, radius;r = 10/2 = 5 mm

Height of cylinder;h = 70mm

Surface area of cylinder is given by the formula; S.A = 2πr² + 2πrh

Plugging in the relevant values, we have;S.A = 2π(5)² + 2π(5)(70)

S.A = 50π + 700π

S.A = 750π

Now, because one base of the cylinder is hidden as the cone is stacked on that face, we will deduct the area of that base face;

Thus, Surface area = 750π - π(5)² = 750π - 25π = 725π

For the cone,

Height;h = 12mm

Since this is stacked directly on the cylinder, it will have the same radius. Thus; radius;r = 5mm

Now,formula for surface area of cone is;

S.A = πr² + πrL

Where L is slant height.

We can use pythagoras theorem to get L.

So, L² = r² + h²

L = √r² + h²

L = √(5² + 12²)

L = √(25 + 144)

L = √169

L = 13

So, S.A of cone = π(5)² + (π×5×13)

S.A = 25π + 65π = 90π

Similar to what was done to the Cylinder, since the circular base of the cone is stacked on the cylinder, we will deduct the surface area of that base as it is hidden.

So, S.A is now = 90π - π(5)²

= 90π - 25π = 65π

Thus,total surface area of the pencil = 725π + 65π = 790π

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2 years ago

Read 2 more answers

professor190 [17]

Answer:

39.7%

Step-by-step explanation:

(actual value - estimated value) / actual value

5.8 - 3.5 = 2.3

2.3 / 5.8 = 0.3965 = 39.65%

5 0

2 years ago

Before leaving to visit Mexico, Levant traded 270 American dollars and received 3,000 Mexican pesos. When he returned from Mexic

Shtirlitz [24]

The question is incomplete:

Before leaving to visit Mexico, Levant traded 270 American dollars and received 3,000 Mexican pesos. When he returned from Mexico, he had 100 pesos left.

How much will he receive when he exchanges these pesos for dollars?

Answer:

9 dollars

Step-by-step explanation:

To find the amount that Levant will receive when he exchanges these pesos for dollars, you can use a rule of three using the information provided:

270 dollars → 3,000 Mexican pesos

x ← 100 Mexican pesos

x=(270*100)/3,000=9 dollars

According to this, the answer is that he will receive 9 dollars.

4 0

2 years ago