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3 years ago

3.

Mathematics

2 answers:

sergey [27]3 years ago

4 0

Answer:

B. 60

Step-by-step explanation:

Start by estimating 10% = 40

Then do 1/2 if that = 20

add them to get 60 cars

or 15 for every 100 15x4=60

S_A_V [24]3 years ago

4 0

Answer:

B 60

Step-by-step explanation:

Finding the exact percentage of 395 gets you to 59.25. Rounding it gets you to 60 so that would be your estimate.

To find the percentage of something, you have to take the percentage and move the decimal 2 spots to the left ( %15 = 0.15 )

You then just multiply, ignoring the decimal to get 5925

After that, you have to place the decimal. There's 2 numbers to the right of the decimal so you move the decimal 2 places to the right in your final answer to get 59.25

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If M is the set of all square of integers that are less than 100 and N is the set of all positive even numbers that are under 30

irina [24]

Answer:

a) M = {0 , 1 , 4 , 9 , 16 , 25 , 36 , 49 , 64 , 81}

N = {2 , 4, 6 , 8 , 10 , 12 , 14 , 16 , 18 , 20 , 22 , 24 , 26 , 28}

b) M ∩ N = {4 , 16 }

M ∪ N = {0 , 1 , 2 , 4 , 6 , 8 , 9 , 10 , 12 , 14 , 16 , 18 , 20 , 22 , 24 , 25 , 26 , 28 ,

36 , 49 , 64 , 81}

a) X = {e , i , g , h , t , y}

W = {e , n , s , t , v , y}

b) X ∪ W = {e , i , g , h , n , s , t , v , y}

X ∩ W = {e , t , y}

Step-by-step explanation:

* Lets explain how to solve the problem

- We can find a square number by multiply the number by itself

- M is the set of all square integers that are less than 100

∵ The integers from -9 to 9 has square less than 100

∴ M = {0 , 1 , 4 , 9 , 16 , 25 , 36 , 49 , 64 , 81}

- N is the set of all positive even numbers that are under 30

∵ Even number any number divisible by 2

∵ They are positive numbers

∴ They start with 2 because zero is not a positive or negative

∴ N = {2 , 4, 6 , 8 , 10 , 12 , 14 , 16 , 18 , 20 , 22 , 24 , 26 , 28}

- M ∩ N means the common numbers between set M and set N

∵ The common elements of M ∩ N are square and even less

than 30

∴ M ∩ N = {4 , 16 }

- M ∪ N means all the elements in M and N without reputation

∴ M ∪ N = {0 , 1 , 2 , 4 , 6 , 8 , 9 , 10 , 12 , 14 , 16 , 18 , 20 , 22 , 24 , 25 ,

26 , 28 , 36 , 49 , 64 , 81}

- X is the set of all letters of the word eighty

∵ The letters of word eighty are e i g h t y

∴ X = {e , i , g , h , t , y}

- W be the set of all letters of the word seventy

∵ The letters of word seventy are s e v e n t y

∵ We don't repeat any element in the set

∴ W = {e , n , s , t , v , y}

- X ∪ W means all the elements in X and W without reputation

∴ X ∪ W = {e , i , g , h , n , s , t , v , y}

- X ∩ W means the common elements between set X and set W

∵ The common letters between X and W are e , t , y

∴ X ∩ W = {e , t , y}

3 0

3 years ago

Evaluat the exression when X is equal to3 X+1

Gemiola [76]

Just substitute 3 for x, and it’s 3+1=4. Your answer is 4!

4 0

3 years ago

Kyra wants to make the area of her rectangular closet 9 times larger than the size it currently is. What scale factor should she

romanna [79]

Answer:

choice 3) scale factor of 3

Step-by-step explanation:

3 times length + 3 times width = 9 times area

5 0

3 years ago

IQ scores on the WAIS test approximate a normal curve with a mean of 100 and a standard deviation of 15. What IQ score is identi

riadik2000 [5.3K]

Answer:

IQ scores of at least 130.81 are identified with the upper 2%.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Mean of 100 and a standard deviation of 15.

This means that $\mu = 100, \sigma = 15$

What IQ score is identified with the upper 2%?

IQ scores of at least the 100 - 2 = 98th percentile, which is X when Z has a p-value of 0.98, so X when Z = 2.054.

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

$2.054 = \frac{X - 100}{15}$

$X - 100 = 15*2.054$

$X = 130.81$

IQ scores of at least 130.81 are identified with the upper 2%.

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3 years ago

What is the union sets M= (1,7,10,11,15) and N=(5,15)?

katen-ka-za [31]

Answer: (1,5,7,10,11,15)

To get the union of two sets of numbers, all you do is combine the numbers from least to greatest. If a number repeats in the 2 sets, you only put it once.

7 0

3 years ago

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