Answer:
-3/8
Step-by-step explanation:
PemDas
2/3 x 3/4= 1/2
3/4 x -1/2 = -3/8
full equation is now
1/2 - 1/2 + -3/8
1/2-1/2 =0
-3/8 remains
Since 74% of the middle area is bounded, this means that
there is 13% on the left side, and another 13% on the right side.
P (left) = 0.13
P (right ) = 1 - 0.13 = 0.87
At this P values, the z scores are approximately:
z score (left) = -2.22
<span>z score (right) = 1.13</span>
Answer:

Step-by-step explanation:
It is given that, the radius of a circle is 8 inches and we are to find the circumference of the circle.

To find the circumference of the circle we must know this formula first :

Where
- r is the radius of the circle.
- We'll take the value of π as 3.14
Now substituting the values in the formula :



Therefore,
- The circumference of the circle is 50.24 inches
Answer: 80 miles for the first ship, and 150 miles for the other.
Explanation:
First thing we should do is correspond each number with a letter:
Let x be the distance travel by ship heading east
Let y be the distance travel by ship heading south
y = x + 70 -- (1)
sqrt(x^2 + y^2) = 170 -- (2)
Subtract (1) into (2):
sqrt(x^2 + (x + 70)^2) = 170
x^2 + x^2 + 140x + 4900 = 28900
2x^2 + 140x - 24000 = 0
x ^2 + 70x - 12000 = 0
(x - 80)(x + 150) = 0
x = 80 or -150
Since the distance for the first ship can’t be negative, therefore, x = 80 -- (3)
Subtract (3) into (1), therefore, y = 150
Hope this helps! :)
Argument
The only number he can't roll is the number one. There are 5 numbers that he can roll.
The probability of success therefore is 5/6.
Formula
Number of successful rolls = probability of success * total number of rolls.
Total number of rolls = 78
Probability = 5/6
Number of successful Rolls = 5/6 * 78
Number of successful Rolls = 390/6
Number of successful Rolls = 65
Answer
He should roll a number greater than one 65 times <<<<< answer