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
There are 5 hamsters. If she has 6 fewer hamsters than fish, that means x-6=5
which means 5+6=11 so there are 11 fish.
The answer is 11
Answer:
8.5E-12
Step-by-step explanation:
According to the Question,
Given That, The diameter of an insect cell is 1.7 × 10^-11 meters.
Ariel wants to find the length of the radius of the cell. Radius Is Half of the Diameter.
- Thus, R = D/2 ⇒ (1.7*10^-11)/2 = 0.85× 10^-11
- If she performs the calculations on her calculator is 8.5E-12.
Yes because 6×6 is 36 and 9×4 is 36.
the blue shows who will get the free apple juice and the red the free popcorn the last one is the 36th person
Answer:22/
9
= 2 4/
9
≅ 2.4444444
Step-by-step explanation:
Add: -19 + 9 = -10
Absolute value: abs(the result of step No. 1) = abs(-10) = 10
Divide: the result of step No. 2 / 3 = 10 / 3 = 3.3333333333333 = 10/
3
Subtract: 14 - 22 = -8
Absolute value: abs(the result of step No. 4) = abs(-8) = 8
Divide: the result of step No. 5 / 9 = 8 / 9 = 0.88888888888889 = 8/
9
Subtract: the result of step No. 3 - the result of step No. 6 = 10/
3
- 8/
9
= 10 · 3/
3 · 3
- 8/
9
= 30/
9
- 8/
9
= 30 - 8/
9
= 22/
9
