The probability of the sample is 0.5 or 50%
<u>Explanation:</u>
Given:
Mean, μ = 20
Standard deviation, δ = 1.3
Probability of sample being less than 20.1 = ?
P (x < 20.1) = 20.1 - μ / δ √n
P (x < 20.1) = 
= 0.0098
P( x < 20.1) = P(z < 0.0098)
P (z < 0.0098) = 0.5
The value of P is found out using a z score table.
Therefore, probability of the sample is 0.5 or 50%
= 0.8333....
<u>Step-by-step explanation:</u>
Here 6 is the divisor and 5 is the dividend, and 5 is lesser than 6, so in the quotient we have to put 0 then a decimal point and 0 along with 5, so the dividend becomes 50, 8 times 6 is 48, 50 - 48 = 2, then add one more 0 with 2, so it becomes 20, 3 times 6 is 18 again, 2 is the remainder and this process is going on. So the quotient is 0.8333...
So
= 0.8333....
Answer:
4x+40=120
Step-by-step explanation:
Vertical angles are congruent so you would set them equal to each other.
Answer:
y = -|x-2| (*)
2 cases:
case 1: for x≥2 <=> |x-2| = x-2
(*) <=> y = - (x-2)
<=> y = -x+2
<=> x+y = 2
case 2: for x>2 <=> |x-2| = 2-x
(*) <=> y = -(2-x)
<=> y = x-2
<=> x-y = 2
since there are 2 variables but just one equation, we cannot find the exact values of x and y. Instead, we can find some kind of connection between them.
Answer:
The volume of the prototype is 
Step-by-step explanation:
we know that
The volume of a hexagonal prism is equal to

where
B is the area of the hexagonal base
H is the length of the rectangular face
we have


substitute

