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2 years ago

Find A ∩ B if A = {2, 5, 8, 11, 14} and B = {1, 3, 5, 7}.

Mathematics

2 answers:

Gwar [14]2 years ago

8 0

Answer:

Step-by-step explanation:

$A=\{2,\ 5,\ 8,\ 11,\ 14\}\\\\B=\{1,\ 3,\ 5,\ 7\}\\\\A\ \cap\ B-\text{the intersection of two sets A and B,}\\\text{ is the set that contains all elements of A that also belong to B.}\\\\\text{Therefore:}\ A\ \cap\ B=\{5\}$

LekaFEV [45]2 years ago

7 0

Answer:

Option 2 - $A\cap B=\{5\}$

Step-by-step explanation:

Given : A = {2, 5, 8, 11, 14} and B = {1, 3, 5, 7}.

To find : $A\cap B$ ?

Solution :

The intersection of two sets A and B is the set containing all elements of A that also belong to B and nothing else.

A = {2, 5, 8, 11, 14}

B = {1, 3, 5, 7}

The common elements are 5.

So, $A\cap B=\{5\}$

Therefore, Option 2 is correct.

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Elaine is in London for one day only. She only has time to see two shows of the three shows she likes. The shows are Hamilton, A

denis-greek [22]

Answer:

$\frac 13$

Step-by-step explanation:

All three shows she likes are Hamilton, Aladdin, and Thriller.

But she can watch only two shows among the three shown.

The possible combination of the shows she can watch are

(Hamilton and Aladdin), (Aladdin and Thriller) and (Hamilton and Thriller).

So, the total number of possible events (available options)= 3.

As we have to determine the probability of watching Aladdin and Thriller, so here Aladdin and Thriller is the favorable event.

So, the number of favorable event=1

Now,

$\text{Probability}=\frac{\text{Total number of possible events}}{\text{Total number of favorable events}}$

$=\frac{1}{3}$

Hence, the probability that she sees Aladdin and Thriller is $\frac 1 3$ .

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1 year ago

The final velocity of an object moving in on one dimension is given by the formula v = u + at, where u is the initial velocity,

agasfer [191]

Answer:

Given Below

Step-by-step explanation:

v = u+at

u+at = v

at = v-u

t = v-u/a

Hope this helps

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1 year ago

Christina will be retiring next month from her job after 35 years as a school bus driver. Over the last 35 years, Christina’s an

HACTEHA [7]

Given: Annual salary average: $22,040 Annual Social security benefit: 42% of salary average Monthly bill: $1,375 $22,040 x 42% = $9,256.80 per annum $9,256.80 / 12 mos = $771.40 per month $1,375 – 771.40 = $603.60 Since, Christina only receives $771.40 per month from her Social Security benefit, she has to take $603.60 from her savings each month to help pay her monthly bill of $1,375. <span>
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1 year ago

Read 2 more answers

The number w and 0.8 are additive inverses.

umka2103 [35]

Since, the number w and 0.8 are additive inverses.

A number 'a' is said to have an additive inverse '-a' if "a+ (-a)= 0".

Since, 'w' and '0.8' are additive inverses of each other such that $w + 0.8 = 0$