Answer: 0.0793
Step-by-step explanation:
Let the IQ of the educated adults be X then;
Assume X follows a normal distribution with mean 118 and standard deviation of 20.
This is a sampling question with sample size, n =200
To find the probability that the sample mean IQ is greater than 120:
P(X > 120) = 1 - P(X < 120)
Standardize the mean IQ using the sampling formula : Z = (X - μ) / σ/sqrt n
Where; X = sample mean IQ; μ =population mean IQ; σ = population standard deviation and n = sample size
Therefore, P(X>120) = 1 - P(Z < (120 - 118)/20/sqrt 200)
= 1 - P(Z< 1.41)
The P(Z<1.41) can then be obtained from the Z tables and the value is 0.9207
Thus; P(X< 120) = 1 - 0.9207
= 0.0793
Answer: Yes
Step-by-step explanation:
You could subtract the measure of the first angle from 90 degres to find the measure of the second angle.
Multiply the height by the base to get the area. 8 x 6 = 48. The area of the first triangle is 48 square inches. 8 x 10 = 80. The area of the second triangle is 80 square inches.
Answer:
x =
or 14.78
Step-by-step explanation:
The lines are parallel, therefore, k(18) acts same as g(x)
That means that:
k(18) = g(x)
- 14 =
+ 24
- 14 - 24 =
- 38 =
38(7) = 18x
266 = 18x
266 / 18 = x
133 / 9 = x
x =
or 14.78