Answer:
The probability of observing between 43 and 64 successes=0.93132
Step-by-step explanation:
We are given that
n=100
p=0.50
We have to find the probability of observing between 43 and 64 successes.
Let X be the random variable which represent the success of population.
It follows binomial distribution .
Therefore,
Mean,
Standard deviation , 
![\sigma=\sqrt{100\times 0.50(1-0.50)]](https://tex.z-dn.net/?f=%5Csigma%3D%5Csqrt%7B100%5Ctimes%200.50%281-0.50%29%5D)
Now,
Hence, the probability of observing between 43 and 64 successes=0.93132
Answer:
The markdown price is $32
Step-by-step explanation:
•Divide 40 by 100 to get what 1% equals
•Multiply that value (0.4) by 20
•Subtract that value from the original
-
40/100=0.4
0.4×20=8
40-8=32
Answer:
Step-by-step explanation:
Original equation
√x+6-4 = x
Isolate
√x+6 = 4+x
Raise both sides to the second power
(√x+6)2 = (4+x)2
After squaring
x+6 = x2+8x+16
Rearranged equation
x2 + 7x + 10 = 0
This equation has two rational roots:
{x1, x2}={-2, -5}
Original equation, root isolated
√x+6 = 4+x
Plug in -2 for x
√(-2)+6 = 4+(-2)
Simplify
√4 = 2
Solution checks !!
Solution is:
x = -2
Original equation, root isolated
√x+6 = 4+x
Plug in -5 for x
√(-5)+6 = 4+(-5)
Simplify
√1 = -1
Solution does not check
1 ≠ -1
4x + 5 = 25
-5 -5
4x = 20 (divide 4 from each side)
x = 5
There are two equal sides of 8, which means this is an isosceles triangle. With an isosceles triangle, there are also two equal angles (30° each in this case). If angle C equals 30°, then angle B also equals 30°. Subtract angles B and C from the total degrees in a triangle.
Triangles Degrees= 180° total
Find angle A:
= total triangle degrees - < B - < C
= 180° - 30° - 30°
= 120°
ANSWER: Angle A is (B) 120°
Hope this helps! :)
