So we are given the mean and the s.d.. The mean is 100 and the sd is 15 and we are trying the select a random person who has an I.Q. of over 126. So our first step is to use our z-score equation:
z = x - mean/s.d.
where x is our I.Q. we are looking for
So we plug in our numbers and we get:
126-100/15 = 1.73333
Next we look at our z-score table for our P-value and I got 0.9582
Since we are looking for a person who has an I.Q. higher than 126, we do 1 - P. So we get
1 - 0.9582 = 0.0418
Since they are asking for the probability, we multiply our P-value by 100, and we get
0.0418 * 100 = 4.18%
And our answer is
4.18% that a randomly selected person has an I.Q. above 126
Hopes this helps!
Answer:
4 t - 7 = 2 t+ 13 is the required equation.
The number of race medals Tara has is t = 20 medals.
Step-by-step explanation:
Let the number of medals Tara has = t medals
So, the number of medal Anita has = 4( Medals of Tara) - 7
= 4t - 7
And the number of medals Gary has = 2 times (Medals of Tara) + 13
= 2(t) + 13 = 2t + 13
Now, Annita and Gary has same number of medals.
⇒ 4t - 7 = 2t+ 13
or, 4t - 2t = 7 + 13
⇒ 2t = 20
⇒ t = 20/2 = 10
or t = 10
Hence, the number of race medals Tara has is t = 20 medals
Answer:
x2−8x 7
Step-by-step explanation: