Answer:
<em>37.3° </em>
Step-by-step explanation:
sin β =
⇒ β = arcsin
= <em>37.3°</em>
Answer:
x-1+1<15; this gonna be x<15 and 1x-1+1>15 this is gonna be the same
Step-by-step explanation:
Answer:
P(2.50 < Xbar < 2.66) = 0.046
Step-by-step explanation:
We are given that Population Mean,
= 2.58 and Standard deviation,
= 0.75
Also, a random sample (n) of 110 households is taken.
Let Xbar = sample mean household size
The z score probability distribution for sample mean is give by;
Z =
~ N(0,1)
So, probability that the sample mean household size is between 2.50 and 2.66 people = P(2.50 < Xbar < 2.66)
P(2.50 < Xbar < 2.66) = P(Xbar < 2.66) - P(Xbar
2.50)
P(Xbar < 2.66) = P(
<
) = P(Z < -1.68) = 1 - P(Z 1.68)
= 1 - 0.95352 = 0.04648
P(Xbar
2.50) = P(
) = P(Z
-3.92) = 1 - P(Z < 3.92)
= 1 - 0.99996 = 0.00004
Therefore, P(2.50 < Xbar < 2.66) = 0.04648 - 0.00004 = 0.046
Answer:
Step-by-step explanation:
For a cylinder there is 2 kinds of formulas the lateral and the total. the lateral surface area is just the sides the formula for that is 2(pi)radius(height)
So we know that the decimal place will move one right. Well basically let's assume she could have bought these expressions:
x 10 x 3.50 = 35.00
x 9 x 3.50 = 31.50 + 3.75 = 35.25
x 8 x 3.5 = 28 + 3.75 x 2 = 35.5
x 7 x 3.5 = 24.5 + 3.75 x 35.75
We know that there is a pattern. See how the cents goes .25 up each time. So we know she'd buy 6 reams of white because (6 x 3.5 = 21) + (4 x 3.75 = 15) = 36.