Answer:
The probability of of a randomly chosen student being exactly 21 years old.
= 1.293
Step-by-step explanation:
<u><em>Step(i):-</em></u>
<em>Given Population size n = 500</em>
<em>Mean of the Population = 20 years and 6 months</em>
<em> = </em>
<em></em>
<em>Standard deviation of the Population = 2 years</em>
Let 'X' be the range of ages of the students on campus follows a normal distribution
Let x =21
<em>The probability of a randomly chosen student being exactly 21 years old.</em>
<em>P( Z≤21) = 0.5 + A( 0.2) </em>
= 0.5 +0.793
= 1.293
Answer:
The vertex is (3,4)
Step-by-step explanation:
f (x) = x^2 - 6 x + 13
Completing the square
-6/2 = -3 and squaring it = 9
= x^2 -6x +9 +4
= ( x-3) ^2 +4
The equation is now in vertex form
a( x-h) ^2 +k
where the vertex is ( h,k)
The vertex is (3,4)
Answer:
6.75 hrs are missing
Step-by-step explanation:
First, change all fractions into decimals:
8 = 8
7 1/4 = 7 + 0.25 = 7.25
8 1/2 = 8 + 0.50 = 8.50
Next, add all numbers gotten together:
8 + 7.25 + 8.50 = 23.75
Subtract the number gotten from the total
30.5 - 23.75 = 6.75
~
Answer:
No.
Step-by-step explanation:
Compare g(x) = (x – 2)^3 + 7 to f(x) = (x - h)^3 + k. Here, h denotes horizontal translation and k denotes vertical translation. Translation to the left by 2 units would be (x + 2)^3 + 7. Translation to the right by 2 units would be (x - 2)^3 + 7. So, no, Tia's description of horiz. translation is incorrect.
However, her adding 7 does denote a positive vertical translation.
Divide the number 135 and 5. It is going to be 27. Then you multiply 27 times 4. Then you get your answer which is 108.
Proportion set up....
small 4 ? small
----- --------
big 5 135 big
Cross multiply 4x135= 540
and then divide 540/5= 108
