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Dima020 [189]
3 years ago
8

How do you solve (1÷9) × (8÷11)

Mathematics
1 answer:
vichka [17]3 years ago
5 0

Step-by-step explanation:

\frac{1}{9}  \times  \frac{8}{11}  =  \frac{8}{9 \times 11}  =  \frac{8}{99}

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Events A1, A2 and A3 form a partiton of the sample space S with probabilities P(A1) = 0.3, P(A2) = 0.5, P(A3) = 0.2.
timurjin [86]

Answer:

Step-by-step explanation:

Given that events A1, A2 and A3 form a partiton of the sample space S with probabilities P(A1) = 0.3, P(A2) = 0.5, P(A3) = 0.2.

i.e. A1, A2, and A3 are mutually exclusive and exhaustive

E is an event such that

P(E|A1) = 0.1, P(E|A2) = 0.6, P(E|A3) = 0.8,

P(E) = P(A_1E)+P(A_2E)+P(A_3E)\\= \Sigma P(E/A_1) P(A_1) \\= 0.1(0.3)+0.5(0.6)+0.8(0.2)\\= 0.03+0.3+0.16\\= 0.49

P(A_1/E) = P(A_1E)/P(E) = \frac{0.3(0.1)}{0.49} \\=0.061224

P(A_2/E) = P(A_2E)/P(E) = \frac{0.5)(0.6)}{0.49} \\=0.61224

P(A_3/E) = P(A_3E)/P(E) = \frac{0.2)(0.8)}{0.49} \\=0.3265

4 0
3 years ago
Solve for x and find the lengths.<br> x=<br> DE= x + 7<br> EF = 7<br> 4x+2
Korolek [52]

Answer:

see explanation

Step-by-step explanation:

from the diagram

DF = DE + EF , that is

4x + 2 = x + 7 + 7

4x + 2 = x + 14 ( subtract x from both sides )

3x + 2 = 14 ( subtract 2 from both sides )

3x = 12 ( divide both sides by 3 )

x = 4

Then

DE = x + 7 = 4 + 7 = 11

DF = 4x + 2 = 4(4) + 2 = 16 + 2 = 18

8 0
1 year ago
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Given f(x)= -x^2+3x-4 and g(x)=2/3x +5 find f(g(-9))
scZoUnD [109]

Answer:

0

Step-by-step explanation:

First, you plug -9 into g(x) and you get g(-9) = - 1. After that, you solve f(-1), which you then reach the solution of 0 by solving.

6 0
3 years ago
Select the correct image.
julia-pushkina [17]

Answer: The ice image, bottom left.

Step-by-step explanation:

The albedo values give information about the proportion of radiation that a given object surfaces, for example, if an object has an albedo value of 0.2, this means that the object reflects 0.2*100% = 20% of the radiation.

You usually can see that darker objects have a smaller albedo value, while clearer objects have a bigger albedo value, meaning that as clearer is the color, usually it reflects a bigger proportion of the radiation.

Here we have that the bigger albedo value is in the ice ( 0.55), so the correct image is the ice image, at the bottom left.

5 0
3 years ago
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4,257 divided by 19 I need help
algol [13]

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Step-by-step explanation:

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