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insens350 [35]
3 years ago
6

The results of a survey of common allergies was organized into a Venn diagram. Circles D, C, and P overlap. Circle D contains 15

. Circle C contains 18. Circle P contains 9. The overlap of circles C and D contains 7. The overlap of circles D and P contains 12. The overlap of C and P contains 10. The overlap of all 3 circles contains 1. Answer the questions about the following sets: D = {x | x is a person allergic to dogs}; C = {x | x is a person allergic to cats}; P = {x | x is a person allergic to pollen} How many people are not allergic to any of the three choices? How many people are allergic to all three choices? How many people are allergic to both dogs and cats but not allergic to pollen? How many people are allergic to cats only?
Mathematics
2 answers:
lianna [129]3 years ago
4 0

Answer:

first blank: 22

second blank: 1

third blank: 7

fourth blank: 18

Step-by-step explanation:

edge 2020

Brums [2.3K]3 years ago
3 0

Answer:22

1

7

18

Step-by-step explanation:

edg2020

Magicmaker91
3 years ago
EDGENUITY 2021
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A police officer records the speeds of vehicles on a road. What percent of the vehicles were traveling between 41 and 45 miles p
olya-2409 [2.1K]

Answer:

28%

Step-by-step explanation:

Here is the missing table from the question:

Speed (mph) Number of Vehicles

36-40                2

41-45               14

46-50               18

51-55               12

56-60                4

Given: A police officer records the speeds of vehicles on a road.

Now, finding the percent of vehicles traveling between 41 and 45 miles per hour.

First, calculating the total number of vehicles.

Total vehicles= 2+14+18+12+4= 50

Vehicles travelling at speed of 41-45 mph= 14

Formula;  percent of vehicles traveling between 41 and 45 mph= \frac{vehicles\ travelling\ 41-45\ mph}{Total\ number\ of\ vehicles} \times 100

⇒ Percent of vehicles traveling between 41-45 mph= \frac{14}{50} \times 100= 14\times 2

∴ Percent of vehicles traveling between 41-45 mph is 28%

4 0
3 years ago
Moses has a bakery, and he is expecting a new shipment of flour today.
rjkz [21]

Answer:

I = 60 + 18k

Step-by-step explanation:

Data provided in the question:

The function for number of  loaves, N that Moses bake

⇒ N(k) = 10 + 3k

here,

k is the kilograms of floor received

and,

Income in dollars, I(x) = 6x

here, x is the number of loaves baked

thus,

when k kilograms of flour is received,

x = N(k) = 10 + 3k

substituting x in income function,

we get

I = 6(10 + 3k)

or

I = 60 + 18k

6 0
3 years ago
Can someone please help
nexus9112 [7]

Answer:

They are congruent.

Step-by-step explanation:

They both are the same shape and size. The side with one line is the same on the other. The side with two lines also matches the other triangle. Lastly, they both have an angle in the same place

8 0
3 years ago
An equilateral triangle has a perimeter of 8x+6. What is the length of each side of the triangle?
Zinaida [17]
Equilateral triangle has all equal sides

let y be 1 side
imply 3y=perimeter
Given perimeter=8x+6
So y=1perimeter/3=(8x+6)/3=(8x/3)+2
8 0
4 years ago
I need help with this question.
docker41 [41]

Answer:

D. x=8.57

Step-by-step explanation:

We can see from our graph that triangle CED is similar to triangle CBA. Side length BA corresponds to ED and Side length AC corresponds to DC.

Since we know that corresponding sides of two similar triangle are in the same proportion. To find value of x we will set proportion of the corresponding sides of our given triangles equal.

\frac{x+15}{15} =\frac{11}{7}          

Upon cross multiplying our given equation we will get,

7(x+15)=11\times 15

Upon distributing 7 we will get,

7x+105=11\times 15

7x+105=165

7x=165-105

7x=60  

x=\frac{60}{7}

x=8.5714285714285714\approx 8.57

Therefore, x equals 8.57 and option D is the correct choice.


3 0
4 years ago
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