Let get all the information.
Mean:394
Deviation:35
Looking for At Least 380 feet
To find the z score you take the wanted probality subtract the mean and divide by the deviation.
z=(380-394)/35.
z=-0.4
So far so good.
But when he looked at the table he looked at probability that the home runs are less then 380 feet.
From this table
http://www.stat.ufl.edu/~athienit/Tables/Ztable.pdf
To find the answer you have to take 1-(the probability that the home runs are less than 380 feet)or 1-0.3446=0.6554
He made an error in his calculation.
Answer:
third side = 9
Step-by-step explanation:
Using Pythagoras' identity on the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.
let the third side be x, then
x² + 40² = 41², that is
x² + 1600 = 1681 ( subtract 1600 from both sides )
x² = 81 ( take the square root of both sides )
x = 
= 9
The third side is 9
Answer:
b = 43
Since 43 is congruent to b
Answer:
<h2><em><u>2</u></em></h2>
Step-by-step explanation:
<em><u>To</u></em><em><u> </u></em><em><u>find</u></em><em><u> </u></em><em><u>value</u></em><em><u>:</u></em>
2x + 3z
<em><u>Given</u></em><em><u> </u></em><em><u>values</u></em><em><u>:</u></em>
x = 4, y = 3 and z = -2
<em><u>Solution</u></em><em><u>:</u></em>
2x + 3z
<em>(</em><em>Putting</em><em> </em><em>the</em><em> </em><em>values</em><em> </em><em>of</em><em> </em><em>x</em><em> </em><em>=</em><em> </em><em>4</em><em> </em><em>and</em><em> </em><em>z</em><em> </em><em>=</em><em> </em><em>-2</em><em>)</em>
= 2(4) + 3(-2)
= 8 - 6
= <em><u>2 (Ans)</u></em>
Total of 5 times = 48 + 48 + 49 + 46 + 64 = 255 mins
Goal:
Average = 53 mins
Total = 53 x 6 = 318 mins
6th ride = 318 - 255 = 63 mins
Answer: She needs to attain 63 mins for her 6th ride.
