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Svetach [21]
3 years ago
14

Nate ordered a pizza to be delivered. The bill with 5% tax and %20 delivery fee was $24. What was the original price ?

Mathematics
1 answer:
klemol [59]3 years ago
3 0
The first thing you will need to do is add up 20% and 5%. So if tax and delivery fees were 25% of the final cost, then the original price of the pizza will be 75% of $24. So, the original price would have been $18
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The lifespan (in days) of the common housefly is best modeled using a normal curve having mean 22 days and standard deviation 5.
Natasha_Volkova [10]

Answer:

Yes, it would be unusual.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

If Z \leq -2 or Z \geq 2, the outcome X is considered unusual.

Central Limit Theorem

The Central Limit Theorem estabilishes 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.

In this question, we have that:

\mu = 22, \sigma = 5, n = 25, s = \frac{5}{\sqrt{25}} = 1

Would it be unusual for this sample mean to be less than 19 days?

We have to find Z when X = 19. So

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{19 - 22}{1}

Z = -3

Z = -3 \leq -2, so yes, the sample mean being less than 19 days would be considered an unusual outcome.

7 0
2 years ago
Please help it's mathswatch so need reason I will mark u brainliests help please ​
Orlov [11]

Answer:

angle BAD = 180 -2x

angle BCD = x                                                    given

angle BCD is an inscribed angle                      

angle DOB = 2 (angle BCD)                              

angle BAD = 180 -angle DOB                           2 tangent theorem      

5 0
2 years ago
At the airport, there is a $25 fee for each bag that is 50 pounds or less. If a bag is over 50 pounds, the
Tom [10]
C. 56
Hope this helped lol I needed more characters
7 0
2 years ago
What is the value of x?<br>30<br>45<br>55<br>60​
KATRIN_1 [288]

Answer:

\boxed {\tt B. \ x=45}

Step-by-step explanation:

x and 3x are on a straight line together. Therefore, they are supplementary and must add to 180 degrees.

Add x and 3x, and set that equal to 180.

x+3x=180

Combine like terms on the right side of the equation. Both x and 3x have a variable, so they can be added together.

(x+3x)=180

4x=180

Since we want to find x, we have to isolate x. x is being multiplied by 4. The inverse of multiplication is division. Divide both sides of the equation by 4.

\frac{4x}{4} =\frac{180}{4}

x=\frac{180}{4}

x=45

x is equal to 45, so the correct answer is B. 45

5 0
3 years ago
Read 2 more answers
Need help asap! Tyy
Oksi-84 [34.3K]

Answer:

27 feet squared

Step-by-step explanation:

the formula for the area of a triangle is b(h)/2 so u just plug in the numbers into the formula from the question. we know that the base is 6ft long and the height is 9ft long.

A = b(h)/2

A = 6(9)/2

A = 27

therefore the area of the sail is 27 feet squared.

7 0
3 years ago
Read 2 more answers
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