Answer: 5 * 23 = 115 so 40<
Step-by-step explanation:
Given:
The ratio of the measures of the sides of a triangle is 3:4:5.
Its perimeter is 48 inches.
To find:
The scale factor as a decimal, and the measure of each side of the triangle.
Solution:
Let x be the scale factor. Then the measures of sides of the triangle are 3x, 4x and 5x.
The perimeter of the triangle is 48 inches. It means the sum of all sides of the triangle is 48 inches.


Divide both sides by 12.


Now, the measures of sides are:


Similarly,


And,


Therefore, the scale factor is 4 and the measures of sides are 12, 16 and 20.
Answer: 0.206
Step-by-step explanation:
Given that :
Height of American men is normally distributed :
Mean height (μ) = 69.7 inch
Standard deviation (σ) = 2.8 inch
Probability that height of a randomly selected man is more than 72 inches
P(X > 72)
Obtain the standardized score (Zscore):
Zscore = (x - μ) / σ
Zscore = (72 - 69.7) / 2.8
Zscore = 2.3 / 2.8
Zscore = 0.8214285
Zscore = 0.8214
Using the Z probability calculator ;
P(Z > 0.8214) = 0.20571
Probability of selecting a man whose height is more Than 72 is 0.206
Answer:
4(4 + 9)
Step-by-step explanation:
Well... you can divide each by 4 and you get 4(4 + 9)
That's about all you can do for the distributive property.
Answer: $375
Step-by-step explanation:
Given : The probability of winning $100 : P(100)= 0.25
The probability of winning $200 : P(200)= 0.50
The probability of winning $1000 : P(1000)= 0.25
Now, the the expected value of that lottery ticket is given by :-

Hence, the the expected value of that lottery ticket =$375