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Shkiper50 [21]
3 years ago
11

Express 35 1/3 in simplest radical form.

Mathematics
1 answer:
Georgia [21]3 years ago
5 0
3√35-simplest radical form
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In a certain community, 36 percent of the families own a dog and 22 percent of the families that own a dog also own a cat. In ad
zysi [14]

Answer:  a) 0.0792   b) 0.264

Step-by-step explanation:

Let Event D = Families own a dog .

Event C = families own a cat .

Given : Probability that families own a dog : P(D)=0.36

Probability that families own a dog also own a cat : P(C|D)=0.22

Probability that families own a cat : P(C)= 0.30

a) Formula to find conditional probability :

P(B|A)=\dfrac{P(A\cap B)}{P(A)}\\\\\Rightarrow P(A\cap B)=P(B|A)\times P(A)   (1)

Similarly ,

P(C\cap D)=P(C|D)\times P(D)\\\\=0.22\times0.36=0.0792

Hence, the probability that a randomly selected family owns both a dog and a cat : 0.0792

b) Again, using (2)

P(D|C)=\dfrac{P(C\cap D)}{P(C)}\\\\=\dfrac{0.0792}{0.30}=0.264

Hence, the conditional probability that a randomly selected family owns a dog given that it owns a cat = 0.264

5 0
3 years ago
The distance between Maggie’s home and her school is 5,280 yards. (Hint: 1 mile = 1,760 yards.)
Mariulka [41]
1 mile = 1760 yards
5280 yards = 5280 / 1760 = 3 miles
4 0
4 years ago
A circle with a radius of 5 is inscribed in a equilateral triangle. What is the area of the triangle's area minus the circle's a
Aleonysh [2.5K]
First off, the area of the circle would be 78.54

Now, you would do (area of the triangle)--- AT-78.54=answer

I don't know how to find the area of the triangle with just the circle's radius, so this is all I can do. I'm sorry!
4 0
3 years ago
I rlly need help with this gr 11 math problem
prohojiy [21]

Answer:

a) \frac{d-5.50}{0.45}

b) The inverse function is a reflection of the original function across the line

y = x. For example, if the function f applied to an input x gives a result of y, then applying its inverse function g to y gives the result x. So you would use it to find the x-value at a y just like you use the original to find the y value at an x.

Step-by-step explanation:

To do an inverse of a function you first switch the independent variable (d) and the dependent variable (c).

d = 0.45c + 5.50

Then you solve for c

d - 5.50 = 0.45 c

c = (d-5.50)/0.45

8 0
3 years ago
5) |-16 |- |-2|<br> Evaluate
larisa86 [58]

Answer:

16 - 2 = 14

Step-by-step explanation:

The lines mean absolute value and the absolute value of -16 is and of -2 is 2

8 0
3 years ago
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