Answer: 0.8238
Step-by-step explanation:
Given : Scores on a certain intelligence test for children between ages 13 and 15 years are approximately normally distributed with
and
.
Let x denotes the scores on a certain intelligence test for children between ages 13 and 15 years.
Then, the proportion of children aged 13 to 15 years old have scores on this test above 92 will be :-
![P(x>92)=1-P(x\leq92)\\\\=1-P(\dfrac{x-\mu}{\sigma}\leq\dfrac{92-106}{15})\\\\=1-P(z\leq })\\\\=1-P(z\leq-0.93)=1-(1-P(z\leq0.93))\ \ [\because\ P(Z\leq -z)=1-P(Z\leq z)]\\\\=P(z\leq0.93)=0.8238\ \ [\text{By using z-value table.}]](https://tex.z-dn.net/?f=P%28x%3E92%29%3D1-P%28x%5Cleq92%29%5C%5C%5C%5C%3D1-P%28%5Cdfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D%5Cleq%5Cdfrac%7B92-106%7D%7B15%7D%29%5C%5C%5C%5C%3D1-P%28z%5Cleq%20%7D%29%5C%5C%5C%5C%3D1-P%28z%5Cleq-0.93%29%3D1-%281-P%28z%5Cleq0.93%29%29%5C%20%5C%20%5B%5Cbecause%5C%20P%28Z%5Cleq%20-z%29%3D1-P%28Z%5Cleq%20z%29%5D%5C%5C%5C%5C%3DP%28z%5Cleq0.93%29%3D0.8238%5C%20%5C%20%5B%5Ctext%7BBy%20using%20z-value%20table.%7D%5D)
Hence, the proportion of children aged 13 to 15 years old have scores on this test above 92 = 0.8238
If you distribute -5 to the things in the parenthesis you would get 10k-20 which is the same as -5(-2k+4)
Answer: I think it' s A, possibly
Answer:
The zeros are 6,-5,9
Step-by-step explanation:
The factored form of the polynomial is given as:
![f(x) = (x - 6)(x + 5)(x - 9)](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%28x%20-%206%29%28x%20%2B%205%29%28x%20-%209%29)
To find the zeros of this function, we set f(x)=0 and solve for x.
![(x - 6)(x + 5)(x - 9) = 0](https://tex.z-dn.net/?f=%28x%20-%206%29%28x%20%2B%205%29%28x%20-%209%29%20%3D%200)
This implies that:
![(x - 6) = 0 \: or \: (x + 5) = 0 \: or \: (x - 9) = 0](https://tex.z-dn.net/?f=%28x%20-%206%29%20%3D%200%20%5C%3A%20or%20%5C%3A%20%28x%20%2B%205%29%20%3D%200%20%5C%3A%20or%20%5C%3A%20%28x%20-%209%29%20%3D%200)
We solve for x to get:
![x = 6 \: or \: x = - 5 \: or \: x = 9](https://tex.z-dn.net/?f=x%20%20%3D%206%20%5C%3A%20or%20%5C%3A%20x%20%20%3D%20%20-%20%205%20%20%5C%3A%20or%20%5C%3A%20x%20%3D%20%209)
The zeros are 6,-5,9
Answer:
Step-by-step explanation:
so i cant actually see the picture on my school chromebook, but if only one x matches up to one y, then yes. multiple x's can go to a single y