All categories

2 years ago

3. The product of two even numbers is always divisible by 4. a) True b) false

Mathematics

2 answers:

lisov135 [29]2 years ago

8 0

Answer: True

Here's an example:

6 x 8 = 48

48/ 4 = 12

14 x 12 = 168

168/4 = 42

son4ous [18]2 years ago

8 0

The answer is definitely true

You might be interested in

In a random sample of 28 families, the average weekly food expense was $95.60 with a standard deviation of $22.50. determine

garik1379 [7]

F. For food stamps for

7 0

3 years ago

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

Why does totality during a lunar eclipse last longer than totality during a solar eclipse?

34kurt

Answer:

Step-by-step explanation:

Becuase the moon is completely covering the sun for 7 minutes

3 0

2 years ago

What percentage of videos on the streaming site are between 39 and 189 seconds?

PolarNik [594]

Answer:

B) 15.85%

Step-by-step explanation:

normalcdf(minimum,maximum,μ,σ)

normalcdf(39,189,264,75)

≈0.1573

≈15.73%

Therefore, the closest answer is B

4 0

2 years ago

Helpppppp me pleaseeeeeee!!!!!!!!

Nimfa-mama [501]

Answer:

Step-by-step explanation:

think of the flight of a small rocket.. what does it seem like the parabola would look like? down means it looks like a cup or glass , upside down , up mean a cup or glass right side up.

when t = 0 the rocket is at 25, so that's the initial height

it's velocity is initially 200 m/s

put equation from std. form to vertex form

y = a $x^{2}$ + bx +c => y = a(x - h ) ^2 + k

h = -4.9 $t^{2}$ + 200t + 25 =>h = -4.9(t - 20.41)^2 + 2,065.82

(h,k) = (20.41 , 2065.82)

3 0

3 years ago