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2 years ago

Which is the intersection of the sets {0, 1, 5, 7, 8} and {0,5,7,9}?

Mathematics

1 answer:

grigory [225]2 years ago

5 0

Answer:

Step-by-step explanation:

Intersection set will contain the data that are found in both the sets

A = { 0 , 1 ,5 ,7,8}

B= {0,5,7,9}

A ∩ B = {0,5,7}

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Consider a bag containing five red marbles, three green ones, one transparent one, three yellow ones, and three orange ones How

Novay_Z [31]

Answer: 56

Step-by-step explanation:

Given : Number of red marbles = 5

Number of green marbles = 3

Number of yellow marbles = 3

Number of orange marbles = 3

Number of red and green marbles = 5+3=8

Now the possible number of sets (combinations) of five marbles are there in which all of them red or green will be :-

$^8C_5=\dfrac{8!}{5!(8-5)!}=\dfrac{8\times7\times6\times5!}{5!3!}=56$

Hence, the number of sets of five marbles in which all of them red or green=56

4 0

3 years ago

30 points Given (-3, 1) and (3,-3). The slope of the line is ____________ . The equation of the line is _____________.

Liono4ka [1.6K]

Answer:

y = (3/2)x + 11/2

Step-by-step explanation:

As we move from the point (-3, 1) to the point (3, -3), x increases by 6 and y decreases by 4. Thus, the slope is

m = rise / run = 6/4 = 3/2.

Subbing the knowns into the general point-slope form of the equation of a straight line, we get

y - 1 = (3/2)(x - [-3]), or y - 1 = (3/2)(x + 3).

This is equivalent to y = (3/2)x + 9/2 + 1, or y = (3/2)x + 11/2.

8 0

3 years ago

Read 2 more answers

pantera1 [17]

(2h – 3)(3h + 4) is the same thing as

2h(3h + 4) - 3(3h + 4)

6h^2 + 8h - 9h - 12

6h^2 - h - 12

Answer B.

4 0

3 years ago

Read 2 more answers

Assume that when adults with smartphones are randomly selected, 57% use them in meetings or classes. If 9 adult smartphone use

forsale [732]

Answer: 0.9617

Step-by-step explanation:

Given : The proportion of adults use their phones in meetings or classes : p=0.57

Number of adults randomly selected : n= 9

Let x be the random variable that represents the number of adults use their phones in meetings or classes.

By using binomial probability formula, to find the probability of getting success in x trials.

$P(x)=^nC_xp^x(1-p)^{n-x}$

The probability that at least 3 of them use their smartphones in meetings or classes will be :-

$P(x\geq3)=1-P(x$

Hence, the required probability is 0.9617 .

4 0

3 years ago

The measure of ∠P is five less than four times the measure of ∠Q. If ∠P and ∠Q are supplementary angles, find m∠P

Murljashka [212]

Answer:

m∠P = 143°

Step-by-step explanation:

We know that supplementary angles add up to 180, and with the knowledge that angle P is 5 times than 4 less (5x-4) the measure of angle Q (x), we can set up the equation (4x-5)+(x)=180. We can then solve and get x = 37, and then we can plug X back into 5x-4 to get the angle of 143 degrees.

8 0

3 years ago