Step-by-step explanation:
1. yes 4+16 = 20
2. yes 32 - 4 = 28
3. yes 4(10) = 40
4. no 24/6 = 4
Answer:
1/7
Step-by-step explanation:
The probability of picking an even number is 3/7.
Without putting the first card back, the probability of picking an even number again is 2/6.



Area=1/2 times bas time height
given that area=10
height=5
find base
10=1/2 times base times 5
times 2 both siddes
20=base times 5
divide oth sides by 5
4=base
the base is 4m
The variance of a distribution is the square of the standard deviation
The variance of the data is 2.2
<h3>How to calculate the variance</h3>
Start by calculating the expected value using:

So, we have:

This gives

Next, calculate E(x^2) using:

So, we have:


The variance is then calculated as:

So, we have:


Approximate

Hence, the variance of the data is 2.2
Read more about variance at:
brainly.com/question/15858152
Answer:

Step-by-step explanation:
(Assuming the correct angles are 30° and 45°)
We can use the tangent relation of the angle of elevation to find two equations, then we can use these equations to find the height of the pole.
Let's call the initial distance of the boy to the pole 'x'.
Then, with an angle of elevation of 30°, the opposite side to this angle is the height of the pole (let's call this 'h') minus the height of the boy, and the adjacent side to the angle is the distance x:

Then, with an angle of elevation of 45°, the opposite side to this angle is still the height of the pole minus the height of the boy, and the adjacent side to the angle is the distance x minus 10:

So rewriting both equations using the tangents values, we have that:


From the first equation, we have that:

Using this value of x in the second equation, we have that:




