Answer:
0.8762 or 87.62%
Step-by-step explanation:
Since our mean is μ=14.3 and our standard deviation is σ=3.7. If we're trying to figure out what percentage is P(10 ≤ x ≤ 26) equal to we must first calculate our z values as such:
Our x value ranges from 10 to 26 therefore let x=10 and we obtain:
If we look at our z-table we find that the probability associated with a z value of -1.16 is 0.1230 meaning 12.30%.
Now let's calculate the z value when x = 26 and so:
Similarly, we use the z-table again and find that the probability associated with a z value of 3.16 is 0.9992 meaning 99.92%.
Now we want to find the probability in between 10 and 26 so we will now subtract the upper limit minus the lower limit in P(10 ≤ x ≤ 26) therefore:
0.9992 - 0.1230 = 0.8762
or 87.62%
Answer: x=6 y=4
_____________
Answer:
68 1/3, 111 2/3
Step-by-step explanation:
The sum of two supplementary angles is 180°, so ...
(x +10) +(2x -5) = 180
3x +5 = 180 . . . . . collect terms
x +5/3 = 60 . . . . . divide by 3
x = 58 1/3 . . . . . . . subtract 5/3
The first angle is ...
x +10 = 58 1/3 +10 = 68 1/3
The second angle is ...
2x -5 = 2(58 1/3) -5 = 116 2/3 -5 = 111 2/3
The angles measure 68 1/3 and 111 2/3.
Cylinder (A):
-Surface area: adding all areas of all faces of the shape.
*10 x 6= 60m^3
*3.14 x 3^2 = 28.274 m^2. Then We times it by 2 since we have 2 circles. Which equals to 56.55m^2
Total surface area: 60 + 56.55 = 116.55m^2
-Volume: 3.14 x r^2 x h, then substitute.
*3.14 x 3^2 x 10 = 282.74m^3
(B):
-surface area:
*7 x 11= 77
*5 x 11 = 55
*11 x 11 = 121
*7 x 5 = 35/2 = 17.5 > then again we times it by 2 cuz we have 2 triangles. Which equals to 35.
Total surface area: 77 + 55 + 121 + 35 = 288 cm^2
-Volume:
*7 x 5 x 11 = 385 cm^3
Make sure to check the units!!!
Hope this helped :)
