The distance traveled is the hypotenuse of the right triangle formed with the ground.
sinα=400/d
d=400/sinα, we are told α=13° so
d=400/sin13 ft
d≈1778ft (to nearest whole foot)
Answer:
LCL = 59.26 to two decimal places
Step-by-step explanation:
Here, we want to estimate the LCL of the population mean with 90% confidence
We proceed as follows;
Given alpha = 0.1, then Z(0.05)=1.645 (from standard normal table), s = 15
Mathematically;
LCL =x_bar -Z*s/√( n)= 62 - (1.645 * 15)/√81
LCL = 62- (24.675)/9 = 59.2583
LCL = 59.26 to two decimal places
Answer:
Slope is -93/97
Step-by-step explanation:
To find slope subtract the y's and put that answer in top of a fraction. Then subtract the x's and put that on the bottom of the fraction. If its a smaller number on top and bigger number on the bottom, that is a proper fraction. If the bigger number is on top then it is an improper fraction. If it divides evenly, then the answer will just be a whole number (what the questions calls an integer) All these answers can be positive or negative.
***BUT, you have to start the subtractions with the same point!!!
Let's start with (-2, 95) in front, for both subtractions. (But it could be either point, the answer comes out the same)
Subtract y's: 95-2 is 93.
Subtract x's: -2 - 95 is -97
The slope is 93/-97 it is a proper fraction.
We can put the negative sign in front instead of at the bottom, it looks better.(and is the same)
Slope is -93/97
Answer:
$6.30
Step-by-step explanation:
So we are going to subtract what is owed by what is payed back to find out how much John owes his brother
$25.75 - $19.45 = $6.30
John owes his brother $6.30