We will check if the elevator can hold 10 man
X~(177,32^2)
n= 10
P(SigmaX>172)
SigmaX~(177*10,(32^2)*10)
SigamX~N(1770, 101.19^2)
P(SigmaX>172*10=1720) =Z=(1720-1770)/101.19
Z = -0.49
From Z table Z=-0.49
P(Z=-0.49) = 0.3121 (probability they will not overload)
1- 0.3123 = 0.6879 = 68.79%
The elevator is not safe, the probability to be more the 172 is 68.79%, high probability they could not make it.
We know that ON = 80 cm and ∠ O = 37°.
cos 37° = 4/5
Adjacent / Hypotenuse = cos∠O
80/OP = cos 37°
80/ OP = 4/5
OP = 80 : 4/5 = 80 · 5/4 = 100
Answer:
d. 100 cm.
Hey!
It says that it is the sum of 3 consecutive odd integers right?
So then we give these numbers some variables to work with like so...
x = 1st number
x + 2 = 2nd number
x + 4 = 3rd number
now set all of them equal to 207
x + x + 2 + x + 4 = 207
3x + 6 = 207
3x = 201
<u>x = 67</u><u /> <u>x + 2 = 69</u><u /> <u /><u /> <u>x + 4 = 71
</u><u>
</u>
hello :
y = 2(x + 3)² - 5
y = 2(x²+6x+9) -5
y = 2x² +12x +13...(answer : A) y=2x^2+12x+13 )
Option (a) is correct.
The standard form the equation is
Step-by-step explanation:
Given : the vertex form of the equation of a parabola is
We have to write the given equation in standard form and choose the correct from the given options.
Consider the given equation of parabola
The standard form of equation of parabola is
We can obtain the standard form by expanding the square term in the given equation.
Using algebraic identity , we have,
Solving brackets, we get,
Simplify, we get,
Thus, The standard form the equation is
