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Hitman42 [59]
3 years ago
6

Which of the objects shown below could be sliced to create square cross-sections?

Mathematics
1 answer:
maw [93]3 years ago
7 0
A cube because it’s already square n can be cut in square cross sections
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The number of freshmen entering college in a certain year is 621. What type of data is 621?
horrorfan [7]

Answer:  Third option is correct.

Step-by-step explanation:

Since we have given that

The number of freshmen entering college in a certain year = 621

It is considered as discrete data.

Since we know the definition of Discrete which refers to all types of data which take only numerical values.

It is based on counts.

According to question, we have given the exact number of freshmen instead of any range or interval.

Hence, Third option is correct.

3 0
3 years ago
A charity receives 2025 contributions. Contributions are assumed to be mutually independent and identically distributed with mea
uysha [10]

Answer:

The 90th percentile for the distribution of the total contributions is $6,342,525.

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.

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.

For sums of size n, the mean is \mu*n and the standard deviation is s = \sqrt{n}*\sigma

In this question:

n = 2025, \mu = 3125*2025 = 6328125, \sigma = \sqrt{2025}*250 = 11250

The 90th percentile for the distribution of the total contributions

This is X when Z has a pvalue of 0.9. So it is X when Z = 1.28. Then

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

By the Central Limit Theorem

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

1.28 = \frac{X - 6328125}{11250}

X - 6328125 = 1.28*11250

X = 6342525

The 90th percentile for the distribution of the total contributions is $6,342,525.

3 0
3 years ago
Convert 91007500 to scientific notation
sesenic [268]
Scientific notation is a number greater than 0 and less than 10 multiplied by 10 to a power. The expression will be equal to the number given.
91007500
We move the decimal place first so that the number is within our range:
9.1007500
Then we count how many places we moved the decimal. In this case we moved it to the left 7 times, so our exponent of 10 will be 7
Therefore in scientific notation it is 9.1007500 x 10^7
Some teachers prefer to have scientific notation rounded off to the nearest 10th place, so that would be:
9.1 x 10^7
8 0
3 years ago
Using the order of operations, what should be done first to evaluate (-2)³ + 4 ÷ (-15 + 9)(3) - 4?
dybincka [34]

Answer:

-14

Step-by-step explanation:

If you simplify the expression you get -14

8 0
3 years ago
Read 2 more answers
34,000 people attended a ballgame at a stadium that offers two kind of seats: general admission and reserved. The day's receipts
hoa [83]

Answer:

The number of people who paid $ 12 for reserved seat is 5,000

The number of people who paid $ 4 for general seat is 29,000  

Step-by-step explanation:

Given as :

The total number of people attending a ballgame = 34,000

The total receipt of the ticket's seat = $ 176,000

The amount pad for reserved seat = $ 12

The amount paid for general admission = $ 4

Let The number of people for reserved seat = r

And The number of people for general admission = g

Now, According to question

The total number of people attending a ballgame =  The number of people for reserved seat + The number of people for general admission

or, r + g = 34,000           ...........1

The total receipt of the ticket's seat = The amount pad for reserved seat × The number of people for reserved seat + The amount paid for general admission × The number of people for general admission

Or, $ 12 × r + $  ×4 g = $ 176,000           .........2

or, $ 12 × ( r + g ) = $ 12 × 34000

Or, $ 12 r + $ 12 g = $ 408,000

Solving equation

( $ 12 r + $ 12 g ) - ($ 12 r + $ 4 g ) = $ 408,000 - $ 176,000

Or, ( $ 12 r - $ 12 r ) + ( $ 12 g - $ 4 g ) = $ 232,000

Or 0 + 8 g = 232,000

∴  g = \frac{232000}{8}

I.e g = 29,000

So , The number of people for general admission = g = 29,000

Put the value of g in Eq 1

I.e  r + g = 34,000  

or , r = 34,000 - g

∴  r = 34000 - 29000

I.e r = 5,000

So, The number of people for reserved seat = r = 5,000

Hence The number of people who paid $ 12 for reserved seat is 5,000

And The number of people who paid $ 4 for general seat is 29,000  Answer

6 0
3 years ago
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