Answer:
the probability that the woman is taller than the man is 0.1423
Step-by-step explanation:
Given that :
the men's heights are normally distributed with mean 
68
standard deviation 
= 3.1
And
the women's heights are normally distributed with mean 65
standard deviation = 2.8
We are to find the probability that the woman is taller than the man.
For woman now:
mean = 65
standard deviation = 2.8
![\\ 1 -p \ P[(x - \mu ) / \sigma < (68-25)/ 2.8]](https://tex.z-dn.net/?f=%5C%5C%201%20-p%20%20%5C%20P%5B%28x%20-%20%5Cmu%20%29%20%2F%20%5Csigma%20%3C%20%2868-25%29%2F%202.8%5D)
= 1-P (z , 1.07)
Using z table,
= 1 - 0.8577
= 0.1423
Thus, the probability that the woman is taller than the man is 0.1423
$40.50 10 boxes at 6lbs = 60lbs
36 boxes at 12 ounces = 432 ounces dived by 16(16 oz in a lbs)= 27 lbs
60 lbs plus 27 lbs = 87 lbs total weight
87lbs - 20lbs($12)= 67lbs - 30 lbs($10)= 37lbs x .50($.50 per pound)= $18.50
$12+$10+$18.50= $40.50
Answer:
Yes.
Step-by-step explanation:
Yes, the given line can be used to make reasonable predictions of the number of cheese pizzas that will be sold, since the scatter points clearly show a trend.
As time goes on, the number of pizzas sold is getting bigger, and the trend is what created the line.
The data was taken over 8 consecutive weeks, so we can assume that it can be used in our prediction.
Since the trend has been pretty consistent over periods of time, we can expect it to continue in the upcoming weeks.
Answer:
Step-by-step explanation:
Step 1: Start by dividing the number by the first prime number 2 and continue dividing by 2 until you get a decimal or remainder. Then divide by 3, 5, 7, etc. until the only numbers left are prime numbers. Step 2: Write the number as a product of prime numbers.
Trigonometry can be used to find angles and sides of simple triangles. If an 18-foot ladder touches a building 14 feet up the wall then the angle can be deduced by trigonometry. In this case, the ladder defines the hypotenuse (H) of the triangle and the wall defines the opposite (O) side of the triangle. Therefore we can use the equation theta=sin^-1(O/H) . This yields an angle of 51 degrees.
