Answer: 0.8 or 80%
Step-by-step explanation:
First find the total number of marbles:
10 + 15 + 25 = 50 marbles total
To find the number of marbles that are not black:
15 + 25 = 40 marbles that are not black
Set up ratio:
= 0.8 or 80%
Which is NOT an example of a space figure?
1 answer:
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By applying the formulas of present and future values of annuity we can solve this problem. In this mortgage problem, first we have to find loan amount after the down payment. It is 699,000 - 699,000 * 0.2 = 559,200$. We have to set it as PV (Present Value) of annuity. Using the PV formula , we first find A, which is an annual payment. Exact calculation with mortgage calculator gives us A = 33,866.56$. After finding it, plugging this number into FV (Future Value) formula
, we find the value of the future value and it is 1,185,329.66$. And the total financial charge is 1,185,329.66 - 559,200 = 626,129.66$
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 :
(1)
Similarly ,
Hence, the probability that a randomly selected family owns both a dog and a cat : 0.0792
b) Again, using (2)
Hence, the conditional probability that a randomly selected family owns a dog given that it owns a cat = 0.264
Figures of same shape and size are similar .Two circles C1&C2 will be similar.
Circle 1 has a center of (-4,5) and circle 2 has a center of (2,1) .The x of the center is having the translation x+6 and the y is having a translation of y-4.The center of the circle is dilated by 3 units.
The circles are similar because you can translate Circle 1 using the transformation rule (x+6,y-4 ) and then dilate it using a scale factor of 3.
2) Area of sector = ÷360.
Where α is the angle made at center.
Area of given sector= π(12)(12)(60)÷360 =24π.