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:
The determinant is 15.
Step-by-step explanation:
You need to calculate the determinant of the given matrix.
1. Subtract column 3 multiplied by 3 from column 1 (C1=C1−(3)C3):
2. Subtract column 3 multiplied by 3 from column 2 (C2=C2−(3)C3):
3. Expand along the row 2: (See attached picture).
We get that the answer is 15. The determinant is 15.
I don't know if this is right or if you're teacher will allow this, but
you could put that as 7(x+8) because if you were to turn it into a solved thing, it would become 7x+56.
I don't know if this is right though.
To answer, substitute the value of y in the second equation to that of the first.
x² + (x + 2)² = 100
Simplification leads to,
x² + x² + 4x + 4 = 100
2x² + 4x + 4 = 100
x² + 2x - 48 = 0
The roots of this equation are x = 6 and x = -8. Thus, the answer is letter C.
The probability that none of them are spades is c(39,5) / c(48,5).
Probability is without a doubt how probable something is to show up. whenever we are uncertain about the final results of an occasion, we can talk about the possibilities of sure outcomes and how probable they are. The analysis of events governed by opportunity is referred to as records.
A chain of moves in which the results are usually unsure. The tossing of a coin, selecting a card from a deck of playing cards, throwing a cube. occasion. it is a single final result of an experiment. Getting a Head whilst tossing a coin is an event.
Simple chance is the calculation of an outcome or the chance of an event ever taking place. Coverage companies use possibility statistics to determine the possibility of having to pay out a declaration. A simple chance is calculated by way of dividing a particular outcome by all of the feasible outcomes.
Learn more about Probability here brainly.com/question/24756209
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