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Eduardwww [97]
3 years ago
7

Consider to circular swimming pools.Pool A has a radius of 12 feet and Pool B has a diameter of 7.5 meters which pool has a grea

ter circumference how much greater justify your answers
Mathematics
1 answer:
mamaluj [8]3 years ago
6 0

C = Pi * d  where C = circumference, d = diameter, r = radius

C = 2*pi *r

we need to watch the units since they are different

Pool A

C = 2 * pi * r

C = 2 * pi * 12  = 24 * pi  in feet


Pool B

C = pi * d

change meters to feet

7.5 m * 3.28 ft/ 1 m  = 24.6 ft

C = pi * 24.6  = 24.6* pi  in ft


Pool B had a greater circumference

24.6 * pi > 24 pi


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Of all the soft drink consumers in a particular sales region, 30% prefer Brand A and 70% prefer Brand
victus00 [196]

Answer:

Option D -0.67

Step-by-step explanation:

Given : Preference of Brand A =30% ⇒ P(A)=\frac{30}{100}=0.3

Preference of Brand B =70% ⇒ P(B)=\frac{70}{100}=0.7

Prefer Brand A and are Female = 20% ⇒ P(A/F)=\frac{20}{100}=0.2

Prefer Brand B and are Female = 40% ⇒ P(B/F)=\frac{40}{100}=0.4

To find : Selected consumer is female, given that the person prefers Brand A P(F/A)

Solution : Using Bayes' theorem, which state that

P(A/B)=\frac{P(B/A)P(A)}{P(B)}

where, P(A) and P(B) are probabilities of observing A and B.

P(B/A)= is a conditional probability where event B occur and A is true

P(A/B)= also a conditional probability where event A occur and B is true.

Now, applying Bayes' theorem,

P(F/A)=\frac{P(A/F)P(A)}{P(B)P(B/F)+P(A)P(A/F)}

P(F/A)=\frac{(0.2)(0.3)}{(0.7)(0.4)+(0.3)(0.2)}

P(F/A)=\frac{0.6}{0.28+0.6}

P(F/A)=\frac{0.6}{0.88}

P(F/A)=0.68

Therefore, Option D is correct probability that a randomly selected consumer is female, given that the person prefers Brand A -0.67

3 0
3 years ago
Read 2 more answers
The product of 162 and m is the same as 17
elena-s [515]

Answer:

No

Step-by-step explanation:

Just took a test

5 0
3 years ago
Pls helpppp!! due tonight :(<br><br> 2/j+3=4/5
Natali5045456 [20]

Answer:

2×5 = 4×(j+3)

10 = 4j + 12

10 - 12 = 4j.

-2 = 4j.

j = -2/4.

j= -0.5 or -1/2

4 0
2 years ago
Which graph shows a linear function?
dimulka [17.4K]

Answer:

I this that its the third graph

8 0
2 years ago
The original price for the camera is 150 if a discount of 30% is given, what is the discounted price
bazaltina [42]

Hello,

The camera is $150

The discount is 30%

First multiply the % by 100 to get a decimal

150 * 0.30 = 45

-----------------------------------------------------------------------------------------------------------------

The Camera now costs $105

The discount price was $45

Hope this helps

-GoldenWolfX

3 0
3 years ago
Read 2 more answers
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