Answer:
P(x< 18) = 0.986
Step-by-step explanation:
Step 1: find the z-score using the formula, z = (x - µ)/σ
Where,
x = randomly chosen values = 18
µ = mean = 7
σ = standard deviation = 5
Proportion of the population that is less than 18 = P(x < 18)
Plug in the values into z = (x - µ)/σ, to get z-score.
z = (18 - 7)/5
z = 11/5 = 2.2
Step 2: Find P(x< 18) = P (z<2.2) using z-table.
The probability that corresponds with z-score calculated is 0.986.
Therefore,
P(x< 18) = 0.986
An isosceles triangle has two equal side lengths and the other side length is different. Therefore, possible measures of the other two sides are either
22 cm and 27 cm, or 22 cm and 24.5 cm.
<span>Mean is in ounces = 32
Standard Deviation in Ounces = 0.36
Cumulative percentage = 100 – 4.5% = 95.5%
Now,
Z Value = 1.695398
X Value = 32.61034
So P(x>=?) = 0.45 is similar to P(x <=?) = 0.955
So looking at the area as 0.955 and use x = mu + z*sigma
X = 36 + 1.695*0.36
Weight of the bag that baby carrots cannot weigh over 32.61034 oz.</span>
Answer:
30
Step-by-step explanation:
If Rodger has 15 cups of punch. There are glasses that have a 1/2 cup capacity. This means he is going to divide a 15 cups into 1/2 cups.
15/1 x 2/1 = 30/1
This means he will have 30 cups to fill.
Answer:
681 square inches
Step-by-step explanation:
The surface area of a rectangular prism of dimensions L, W, and H is given by ...
A = 2(LW +H(L+W))
The surface area of the given box is ...
A = 2(12·3 +18.25(12 +3)) = 2(36 +273.75) = 619.5 . . . square inches
The amount of wrapping paper required is 10% more than this value, so is ...
paper required = (1 +.10)(619.5) = 681.45 ≈ 681 . . . square inches
