All categories

2 years ago

if you’re good with set theory and word problems in math 30 please help with questions 42 and 43 !! real answers only !!

Mathematics

1 answer:

aleksklad [387]2 years ago

6 0

Answer: 42) 2, 3 43) 144

<u>Step-by-step explanation:</u>

42)

1. n(P) = 8 + 5 = 13 (not 8) This statement is False.

2. n(Q but not P) = 9 This statement is True!

3. n(neither P nor Q) = 2 This statement is True!

4. n(Q') --> (n (not Q) = 8 + 2 = 10 (not 8) This statement is False.

5. P ∪ Q = 8 + 9 - 5 = 12 (not 5) This statement is False.

43)

Fill in the Venn Diagram as follows (from left to right):

M only = 55 --> 89 - (17 + 4 + 13) = 55

M ∩ E = 17 --> 30 - 13 = 17

E only = 5 --> 46 - (17 + 13 + 11) = 5

B ∩ M = 4 --> 17 - 13 = 4

M ∩ E ∩ B = 13 --> given

B ∩ E = 11 --> 24 - 13 = 11

E only = 35 --> 63 - (13 + 4 + 11) = 35

<u>(M ∪ E ∪ B)' = 4 </u> --> given

Total = 144

You might be interested in

John has a rectangular-shaped field whose length is 62.5 yards and width is 45.3 yards. The area of the field is ________ square

oee [108]

Area = 2831.25 square yards

Perimeter =215.6 yards

EXPLANATION

The area and perimeter of a rectangular field are found using the formula for finding the area and perimeter of a rectangle respectively.

That means, area of the rectangular field is given by the formula,

$A= l\times w$

We just have to substitute
$l=62.5$ and $w= 45.3$ into the given formula and evaluate.

This implies that;

$A= 62.5\times 45.3$

This gives the area of the rectangular-shaped field to be;

$A= 2831.25$ square yards.

Now for the perimeter, we use the formula

$P=2w +2l$

Or

$P=2(w +l)$

Substituting the values for the length and width gives,

$P=2(62.5+45.3)$

$\Rightarrow P=2(107.8)$

$\Rightarrow P=215.6$

Hence the perimeter of the rectangular shaped field is 215.6 yards.

8 0

2 years ago

The hat company received a shipment of 60 novelty baseball caps. Of the caps, 1/3 had bug antenna, 2/5 had moose antlers, and th

levacccp [35]

Answer:

18 plastic propellers, 18 Bug Antenna, 24 moose antlers,

Step-by-step explanation:

When we multiply our total sum of 60 by certain decimal values by converting the factions to decimals we can get each type of hats count.

1/3 works out to be 0.30

60×0.3 = 18

2/5 works out to be 0.40

60×0.4 = 24

To find out the remaining amount that is plastic propellers you subtract the added hats and the total value.

60 - (18 + 24)

60 - 42

6 0

2 years ago

2x ^2 −5=3x

expeople1 [14]

Answer:a

Step-by-step explanation:

3 0

2 years ago

A data set of 5 observations for Concession Sales per person at a theater and Minutes before the movie begins results in the est

otez555 [7]

Answer:

Check the explanation

Step-by-step explanation:

Kindly check the attached image below to see the step by step explanation to the question above.

5 0

2 years ago

There were 65 people waiting in two lines to buy a snowball ice drink they were joined in the line by 11 more people a total of

Pavlova-9 [17]

Answer:

67 people were still left waiting in line.

Step-by-step explanation:

If there are 65 plus 11 more, there'd be 76 people in line.

I guess the fact that it says "waiting in two lines" can be completely discarded because bottom line is 9 people got their drinks- which means that "waiting in two lines" means nothing.

76 - 9 = 67 people still left waiting in line.

8 0

2 years ago