All categories

3 years ago

Alvin is 13 years younger than Elga. The sum of their ages is 87. What’s Elgar’s age?

Mathematics

1 answer:

givi [52]3 years ago

3 0

Answer:

87-13 = 74

Step-by-step explanation:

You might be interested in

Probabilities with possible states of nature: s1, s2, and s3. Suppose that you are given a decision situation with three possibl

amm1812

Answer:

1. $P(s_1|I)=\frac{1}{11}$

2. $P(s_2|I)=\frac{8}{11}$

3. $P(s_3|I)=\frac{2}{11}$

Step-by-step explanation:

Given information:

$P(s_1)=0.1, P(s_2)=0.6, P(s_3)=0.3$

$P(I|s_1)=0.15,P(I|s_2)=0.2,P(I|s_3)=0.1$

(1)

We need to find the value of P(s₁|I).

$P(s_1|I)=\frac{P(I|s_1)P(s_1)}{P(I|s_1)P(s_1)+P(I|s_2)P(s_2)+P(I|s_3)P(s_3)}$

$P(s_1|I)=\frac{(0.15)(0.1)}{(0.15)(0.1)+(0.2)(0.6)+(0.1)(0.3)}$

$P(s_1|I)=\frac{0.015}{0.015+0.12+0.03}$

$P(s_1|I)=\frac{0.015}{0.165}$

$P(s_1|I)=\frac{1}{11}$

Therefore the value of P(s₁|I) is $\frac{1}{11}$ .

(2)

We need to find the value of P(s₂|I).

$P(s_2|I)=\frac{P(I|s_2)P(s_2)}{P(I|s_1)P(s_1)+P(I|s_2)P(s_2)+P(I|s_3)P(s_3)}$

$P(s_2|I)=\frac{(0.2)(0.6)}{(0.15)(0.1)+(0.2)(0.6)+(0.1)(0.3)}$

$P(s_2|I)=\frac{0.12}{0.015+0.12+0.03}$

$P(s_2|I)=\frac{0.12}{0.165}$

$P(s_2|I)=\frac{8}{11}$

Therefore the value of P(s₂|I) is $\frac{8}{11}$ .

(3)

We need to find the value of P(s₃|I).

$P(s_3|I)=\frac{P(I|s_3)P(s_3)}{P(I|s_1)P(s_1)+P(I|s_2)P(s_2)+P(I|s_3)P(s_3)}$

$P(s_3|I)=\frac{(0.1)(0.3)}{(0.15)(0.1)+(0.2)(0.6)+(0.1)(0.3)}$

$P(s_3|I)=\frac{0.03}{0.015+0.12+0.03}$

$P(s_3|I)=\frac{0.03}{0.165}$

$P(s_3|I)=\frac{2}{11}$

Therefore the value of P(s₃|I) is $\frac{2}{11}$ .

4 0

3 years ago

If PQ and RS intersect from four right angles which statement is true

Harman [31]

Answer:

Right angles = 90 if more its not a right angle

Step-by-step explanation:

8 0

3 years ago

Which length is equivalent to 12 yards?

elena-s [515]

Answer:

Step-by-step explanation:

there are 3 ft in a yard, so to find how many yards you multiply 3 time 12, which equals 36.

5 0

3 years ago

Read 2 more answers

A quadrilateral has three angles that measure 80°, 110°, and 75°. Which is the measure of the fourth angle? A. 50° B. 90° C. 95°

Free_Kalibri [48]

a quadrilateral has 4 angles that add up to 360 degrees

x + 80+110+ 75 = 360

combine like terms

x + 265 = 360

subtract 265 from each side

x + 265 -265 =360 -265

x = 95

Choice C

5 0

3 years ago

Read 2 more answers

Plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz help

Effectus [21]

Answer:

x=30

Step-by-step explanation:

because 3 times 30 equal 90 minus 5 is 85

7 0

3 years ago