Answer: 47 and 16
Step-by-step explanation:
- Make Two Equations
x + y = 63
x - y = 31
- Set one of the equations equal to one of the variables
x + y = 63
x = 31 + y
- Substitute the equation back into the other one
(31 + y) + y = 63
31 + 2y = 63
2y = 32
y = 16
- Substitute the answer back into the equation
x + y = 63
x + 16 = 63
x = 47
Answer:
Interval [16.34 , 21.43]
Step-by-step explanation:
First step. <u>Calculate the mean</u>
Second step. <u>Calculate the standard deviation</u>
As the number of data is less than 30, we must use the t-table to find the interval of confidence.
We have 6 observations, our level of confidence DF is then 6-1=5 and we want our area A to be 80% (0.08).
We must then choose t = 1.476 (see attachment)
Now, we use the formula that gives us the end points of the required interval
where n is the number of observations.
The extremes of the interval are then, rounded to the nearest hundreth, 16.34 and 21.43
Answer:
Erie to Rochester is 145 miles
Step-by-step explanation:
If we designate the points of interest as C, E, and R, we are told that ...
CE + ER = CR . . . . . the various distances are segments of a straight line
For CE = 94 and CR = 239, we can fill in the given information and solve for ER.
94 + ER = 239
ER = 239 -94 . . . . . . subtract 94 from both sides of the equation
ER = 145
The distance from Erie to Rochester is 145 miles.
Answer:
4.25 yards
Step-by-step explanation:
Area of rectangle = Base x Height
or
Height = Area of Rectangle ÷ Base
In this case, Area =38.25 sq yards and Base = 9 yards
Height = 38.25 ÷ 9 = 4.25 yards
The probability that the sum of the dice is 7 is 1/2 because there are only three combinations that result in the sum of 7: (1,6)(2,5) and (3,4). But there are 6 possible outcomes( this is if you don’t add reverse combinations such as 1,6 and 6,1) so the probability would be 3/6 or 1/2
