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2 years ago

ε = {x: 2 ≤ x ≤30, x is an integer}, M = {even numbers}, P = {prime numbers}, T = {odd numbers} Find: M-T

Mathematics

1 answer:

german2 years ago

5 0

Answer:

M-T={even numbers}

Step-by-step explanation:

We are given that

$\varepsilon$ ={x:2 $\leq x\leq 30$ ,x is an integer}

M={even numbers}

P={Prime numbers}

T={odd numbers}

We have to find M-T

$M\cap T=\phi$

We know that

$A-B=A-A\cap B$

Using the formula

Then, we get

$M-T=M-M\cap T$

M-T={even numbers}- $\phi$

M-T={even numbers}

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leva [86]

Answer:

$\boxed{\sf B)\: x=\sqrt{17}}$

Step-by-step explanation:

Use the Pythagorean Theorem

The equation for the Pythagorean Theorem is $\tt a^2+b^2=c^2$

* a and b are the lengths of the legs, and c is the hypotenuse.*

(To know which side is the hypotenuse look at longest side which is across the right angle).

a= x, b=8, c=9

$\sf a^2+b^2=c^2$

Let's Plug in the side lengths:

$\sf x^2+8^2=9^2$

Evaluate 8^2 and 9^2:

$\sf x^2+64=81$

Subtract 64 from both sides:

$\sf x^2+64-64=81-64$

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2 years ago

Read 2 more answers

What is the least common denominator for adding the fractions 4/15, 1/12, and 3/8

il63 [147K]

I think you want the least common multipule (exg LCM of 2,3,4 is 12)

so we find the factors and include all of them so like this

15=3 times 5
12=2 times 2 times 3
8=2 times 2 times 2

so to include all of them we include 3 2's, 1 3 and 1 5 or 2 times 2 times 2 times 3 times 5 or 8 times 15 or 4 times 30 or 120

the LCM is 120

so 4/15=32/120
1/12=10/120
3/8=45/120

add 32/120+10/120+45/120=(32+10+45)/120=87/120

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3 years ago

Read 2 more answers

Roland’s Boat Tours sells deluxe and economy seats for each tour it conducts. In order to complete a tour, at least 1 economy se

vovangra [49]

Roland’s Boat Tours will make more money if they sell more economy seats, hence the maximum profit is attained if they only sell the minimum deluxe seat which is 6

6*35+ 24*40 = 210+960= $1170

Given details

To make a complete tour, at least 1 economy seats

and 6 deluxe seats

Maximum passengers per tour = 30

"Boat Tours makes $40 profit for each economy seat sold and $35 profit for each deluxe seat sold"

Therefore, to maximise profit, he needs to take more of economy seats

Hence

Let a deluxe seat be x and economy seat be y

Maximise

6 x+ 24y = 30

The maximum profit from one tour is = 6*35+ 24*40 = 210+960= $1170

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2 years ago

IQ scores based on the Stanford-Binet IQ test are normally distributed with a mean of 100 and standard deviation 15. If you wer

lianna [129]

Answer:

95 intervals

Step-by-step explanation:

Given that

population mean = 100

standard deviation = 15

number of interval that involve the mean for 95% confidence interval is calculated as

We know that when we measure the 99 percent confidence interval, 99 outof 100 confidence interval are required to provide the mean population.

similarly

Assuming we measure a confidence interval of 95 percent, then we should expect 95 out of 100 confidence interval to provide the mean population therefore, answer is 95

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3 years ago

Which has the greater area: a 6 6‐centimeter by 4 1 2 412‐centimeter rectangle or a square with a side that measures 5 5 centime

Morgarella [4.7K]

Answer:

The square with side 5 centimeters have a greater area.

Corrected question;

Which has the greater area: a 6‐centimeter by 4.12‐centimeter rectangle or a square with a side that measures 5 centimeters?

Step-by-step explanation:

The Area of a rectangle can be written as;

Area A = length × breadth

Given;

Length = 6 cm

Breadth = 4.12 cm

Substituting the values;

Area of rectangle = 6cm × 4.12cm = 24.72 cm^2

For the square;

Area of a square = length × length

Given;

Length = 5 cm

Substituting the values;

Area of the square = 5cm × 5cm = 25 cm^2

Since 25 cm^2 is greater than 24.72 cm^2

The square has a greater area.

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3 years ago