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3 years ago

You can drive 512 miles on one tank of gas if you have 16 gallons of tank how many miles can you drive in 1 gallon of gas

Mathematics

1 answer:

tino4ka555 [31]3 years ago

4 0

In order to find how many miles you multiply 512 by 16

Your answer is 8192 miles

Hope this helps :D

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For each $n \in \mathbb{N}$, let $A_n = [n] \times [n]$. Define $B = \bigcup_{n \in \mathbb{N}} A_n$. Does $B = \mathbb{N} \time

andre [41]

Answer:

No, it is not.

Step-by-step explanation:

The set $C = \mathbb{N} \times \mathbb{N}$ contains every ordered pair of Natural numbers, while B only contains those pairs in which both values in each entry are the same. Therefore, C is a bigger set than B, but B is not equal to C because for example C contains $[1] \times [2]$ and B doesnt because 1 is not equal to 2.

4 0

2 years ago

Suppose a sample of 100 families of four vacationing at Niagara Falls resulted in sample mean of $282.45 spent per day and a sam

Juli2301 [7.4K]

Given Information:

Mean = μ = $282.45

Standard deviation = σ = $64.50

Sample size = n = 100

Confidence level = 95%

Required Information:

95% Confidence interval = ?

Answer:

95% Confidence interval = ($269.81, $295.09)

Step-by-step explanation:

We are given a Normal Distribution, which is a continuous probability distribution and is symmetrical around the mean. The shape of this distribution is like a bell curve and most of the data is clustered around the mean. The area under this bell shaped curve represents the probability.

What is Confidence Interval?

The confidence interval represents an interval that we can guarantee that the target variable will be within this interval for a given confidence level.

The confidence interval is given by

$CI = \bar{x} \pm MoE\\$

Where $\bar{x}$ is the mean and MoE is the margin of error given by

$MoE = z_{\alpha/2}(\frac{\sigma}{\sqrt{n} } ) \\$

Where σ is the standard deviation, n is the sample size and $z_{\alpha/2}$ is the z-score corresponding to 95% confidence level.

$z_{\alpha/2} = 1 - 0.95 = 0.05/2 = 0.025\\\\z_{0.025} = 1.96$

$MoE = 1.96\cdot \frac{64.50}{\sqrt{100} } \\\\MoE = 1.96\cdot 6.45\\\\MoE = 12.64\\$

Finally, the confidence interval is

$CI = \bar{x} \pm MoE\\\\CI = 282.45 \pm 12.64\\\\CI = 282.45 - 12.64 \: and \: 282.45 + 12.64\\\\CI = \$269.81 \: and \:\:\$295.09\\$

Therefore, we are 95% sure that the true population mean amount spent per day by a family of four visiting Niagara Falls is within the interval of ($269.81, $295.09)

3 0

2 years ago

Riverdale High ordered 84 shirts with their logo on them. if 8 of the shirts were defective what percent of the shirts were not

Ymorist [56]

8 were defective.

Defective percent = 8/84 x 100 = 9.5238% were defective.

Percent not defective = 100% - 9.5238% = 90.4761%

Rounding to the nearest tenth 90.5% were not defective.

The question doesn’t say how to round the answer so you may need to round differently than I did.

8 0

2 years ago

Read 2 more answers

Show that the curve x = 7 cos(t), y = 5 sin(t) cos(t) has two tangents at (0, 0) and find their equations.

elena-s [515]

Y= 5 y =7 thats the smaller slip and larger

8 0

3 years ago

If P is a point of symmetry, click on the graphic to find the figure that is symmetrical by P.

aleksklad [387]

Answer:

The third figure is the answer (Look to the attached figure

Step-by-step explanation:

* The point of symmetry means

- If a figure or graph can be rotated 180° about a point P

and end up looking identical to the original, then P is a point

of symmetry

- The same distance from the central point

but in the opposite direction.

* Lets look to the four answers

- In the 3rd figure first line up can be rotated 180° about a point P

and end up looking identical to the second line down, then P

is a point of symmetry

- The same distance from the point p

but in the opposite direction.

* The figure show the answer

8 0

3 years ago

Read 2 more answers