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3 years ago

Emilia and Sydney went out to dinner. The bill came to $48. They want to leave a 20% tip and

Mathematics

1 answer:

leva [86]3 years ago

4 0

Answer:

Option B is correct.

Step-by-step explanation:

Total bill = $48

Tip = 20%

Amount of tip = 20% of 48

Amount = $\frac{20}{100}*48$

Amount = 0.2 * 48

Amount = $9.60

Total bill with tip = 48 + 9.60 = $57.60

Dividing by 2 as they are spliting the bill.

Each pays = $\frac{57.60}{2}=28.80$

Therefore,

Option B is correct.

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Tomtit [17]

Answer:

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3 years ago

How do you explain a diameter of 0.00085 inches using scientific notation

dezoksy [38]

Answer:

8.5 $E^{-4}$ inches

Step-by-step explanation:

Scientific scientific notation is where the super small / super large number is multiplied by a 10 (E) to the power of a number. Here, the number is smaller than 8.5 so our power must be negative. As we are making it four "places" bigger, we use the exponent of -4.

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2 years ago

Beth has 30 days to train for the Olympics. She swims 20 laps on the first day, then each day after that she swims two more laps

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3 years ago

Which scenario can the following graph describe? A)the total time a kite is up in the air as it goes up for a little bit ,comes

Vadim26 [7]

Answer:

Option C is the correct answer.

Step-by-step explanation:

We are given,

<em>A graph where the function first increases and then decreases to touch the x-axis and the increases.</em>

It is required to find the corresponding situations.

So, from the options we have that,

The graph represents the speed of a vehicle which first increases (as it accelerates), then decreases (slows down) and then touch the x-axis (stops at the light) and then increases (accelerates on the ramp for a freeway).

Hence, option C is scenario that the graph describes.

4 0

3 years ago

For parts a and bâ, use technology to estimate the following. âa) The critical value of t for a 90â% confidence interval with df

rjkz [21]

Answer:

a) For the 90% confidence interval the value of $\alpha=1-0.9=0.1$ and $\alpha/2=0.05$ , with that value we can find the quantile required for the interval in the t distribution with df =3. And we can use the folloiwng excel code: "=T.INV(0.05,3)" and we got:

$t_{\alpha/2} =\pm 2.35$

b) For the 99% confidence interval the value of $\alpha=1-0.99=0.01$ and $\alpha/2=0.005$ , with that value we can find the quantile required for the interval in the t distribution with df =106. And we can use the folloiwng excel code: "=T.INV(0.005,106)" and we got:

$t_{\alpha/2} =\pm 2.62$

Step-by-step explanation:

Previous concepts

The t distribution (Student’s t-distribution) is a "probability distribution that is used to estimate population parameters when the sample size is small (n<30) or when the population variance is unknown".

The shape of the t distribution is determined by its degrees of freedom and when the degrees of freedom increase the t distirbution becomes a normal distribution approximately.

The degrees of freedom represent "the number of independent observations in a set of data. For example if we estimate a mean score from a single sample, the number of independent observations would be equal to the sample size minus one."

Solution to the problem

Part a

For the 90% confidence interval the value of $\alpha=1-0.9=0.1$ and $\alpha/2=0.05$ , with that value we can find the quantile required for the interval in the t distribution with df =3. And we can use the folloiwng excel code: "=T.INV(0.05,3)" and we got:

$t_{\alpha/2} =\pm 2.35$

Part b

For the 99% confidence interval the value of $\alpha=1-0.99=0.01$ and $\alpha/2=0.005$ , with that value we can find the quantile required for the interval in the t distribution with df =106. And we can use the folloiwng excel code: "=T.INV(0.005,106)" and we got:

$t_{\alpha/2} =\pm 2.62$

3 0

3 years ago