Answer:
310,000
Step-by-step explanation:
X1 + X2 + X3 <27 for all Xi> 0
X1 + X2 + X3 <27 for all Xi> 0, X2 >/ 5
Answer:
Area =
units square.
Perimeter = 8y units.
Step-by-step explanation:
Area of a rectangle = length * width.
Perimeter of a rectangle = 2*(length + width).
It is given that length = y−2 units and width = 3y+2 units. To find the area and the area of the rectangle in terms of y, simply put the length and the width in the above area and perimeter equations.
Area = length * width = (y-2)*(3y+2).
Expanding the expression gives:
Area = 3y^2 + 2y - 6y - 4 = (3y^2 -4y - 4) units square.
Similarly,
Perimeter = 2*(length + width) = 2*(y-2 + 3y+2) = 2*4y = 8y units.
Therefore, the expression for the area and the perimeter of the given rectangle is (
) units square and (8y) units respectively!!!
Solution :
a).
Given : Number of times, n = 25
Sigma, σ = 0.200 kg
Weight, μ = 13 kg
Therefore the hypothesis should be tested are :


b). When the value of 
Test statics :



= 45.5
P-value = 2 x P(Z > 45.5)
= 2 x 1 -P (Z < 45.5) = 0
Reject the null hypothesis if P value < α = 0.01 level of significance.
So reject the null hypothesis.
Therefore, we conclude that the true mean measured weight differs from 13 kg.
Answer:
303.63 sq inches
Step-by-step explanation:
We need to find the area of the two rectangles he cuts and add them together.
The area of a rectangle is given as:
A = L * B
The first rectangle is 16 inches × 12 1/4 inches. Its area is:
A = 16 * 12 1/4 = 16 * 49/4 = 196 sq inches
The second rectangle is 10 1/2 inches by 10 1/4 inches. Its area is:
A = 10 1/2 * 10 1/4 = 21/2 * 41/4 = 107.63 sq inches
The total square inches of construction paper that he needs is:
196 + 107.63 = 303.63 sq inches