Answer:
a) X has a mean of 25 and a variance of 8.
b) The probability that the total weight X is between 22 and 28 oz is 0.711.
Step-by-step explanation:
We have to calculate the mean and variance of a sum of random normal variables.
We can apply the rule for mean and variance for sum of independent variables:
Then, the mean and variance of X is:
We can calculate the probability that X is between 22 and 28 as:
Answer: A
Step-by-step explanation:
This is because diagonals of a rhombus are perpendicular not congruent, ]
Pependicular means at an angle of 90°
If this helped please mark brainliest
Seeing that the human has 3 meals a day they would consume 666.66 calories per meal
Answer:
B. 200
Step-by-step explanation:
A perfect square is the multiplication of two equal integers such as 1*1=1, 2*2=4, 3*3=9. From the examples, 1, 4, 9 are perfect square.
Non perfect square numbers are 1*2=2,
3*1=3,
5*1=5,
3*2=6,
6*1=6,
7*1=7
Examples of perfect squares:
1*1=1
2*2=4,
3*3=9,
4*4= 16,
5*5=25,
6*6=36,
7*7=49,
8*8=64,
9*9=81,
10*10=100,
11*11=121,
12*12=144,
13*13=169,
14*14=196,
15*15=225 and so on
Because there are 4 inside angles the sum of the four angles must equal 360 degrees.
Add the angles to equal 360:
4x + 3x + 2x + 3x = 360
Simplify:
12x = 360
Solve for x by dividing both sides by 12:
x = 360 /12
x = 30
Now you have x, solve for each angle:
ABC = 4x = 4 x 30 = 120 degrees.
BCD = 3x = 3 x 30 = 90 degrees.
CDA = 2x = 2x 30 = 60 degrees.
DAB = 3x = 3 x 30 = 90 degrees.
C. It's important to know that a four sides figure needs the inside angles when added together need to equal 360 degrees.