It can be deduced that the probability of having 4 or more correct guesses will be 0.0296.
<h3>How to calculate the probability</h3>
From the given information, the null hypothesis is p = 1/7 and the alternate hypothesis is p>1/7. In this case, the mind reader gets a 4 out of 9 chances.
In order to test the hypothesis, simulations for 10000 cases were run with a probability of the correct answer being 1/7.
In this case, the p-value is the probability of correct answers that are greater than 4, assuming the null hypothesis is true. Here the p-value is 0.0296.
Also, the significance level to reject the hypothesis is less than 0.01. Since p > 0.01, we then fail to reject the hypothesis. Therefore the null hypothesis stands and Joao is not a mind reader.
Learn more about probability on:
brainly.com/question/24756209
<h2>
Hello!</h2>
The answer is:
The second option,
<h2>
Why?</h2>
We are working with a right triangle, it means that we can use the following trigonometric property:
Which applied to our problem, will be:
We are given:
m∠S, equal to 21°
The side TU (opposite) equal to 5 units.
So, substituting and calculating we have:
Hence, the answer is the second option
Have a nice day!
An article is almost always followed by a noun.
the answer would be ...
f(x) = -5/2x + 4
We know this because the constant in this equation, 4, is the y-intercept!
This means that the number without the variable is <u>where the line intersects the y-axis. </u>
Additionally, the slope is called the "rise over run", but in this case it is negative. At the point, 4, on the y-axis,<u> we go down 5 units (the numerator of the slope) and to the right by 2 units (the denominator). </u>
We find ourselves at where the line intercepts the x-axis!
I hope my explanation isn't confusing and that it is helpful! If you have any questions or concerns, message me! :)
Answer:
a² = 36
Step-by-step explanation:
We are given the equation
Here, we have to simplify the equation as given in options.
Now,
Multiplying both sides with 4a, we get
Cancelling 4 in the left hand side and cancelling a in the right hand side we get,
⇒ a × a = 9 × 4
⇒ a² = 36
Therefore, the first option is correct. (Answer)