Answer:
If the coin is fair, then the odds of getting heads or tails should be equal, 12. Then 3 tosses of tails will have a chance of 12⋅12⋅12=18.
Answer:
You did the same on both exams.
Step-by-step explanation:
To compare both the scores, we need to compute the z scores of both the exams and then compare the values. The formula for z-score is:
<u>Z = (X - μ)/σ</u>
Where X = score obtained
μ = mean score
σ = standard deviation
For Exam 1:
Z = (95 - 79)/8
= 16/8
<u>Z = 2</u>
For Exam 2:
Z = (90 - 60)/15
= 30/15
<u>Z = 2</u>
<u>The z-scores for both the tests are same hence the third option is correct i.e. </u><u>you did the same on both exams.</u>
Answer:
Step-by-step explanation:
<u>We know that:</u>
- sin 30° = 1/2, therefore arcsin (1/2) = 30°
- tan 45° = 1, therefore arctan (1) = 45°
<u>So the value of the expression is:</u>
- arcsin (1/2) + arctan (1) = 30° + 45° = 75°
The shaded area in the image is 86.1 square inches.
<h3>
How to get the shaded area?</h3>
Remember that for a circle of diameter D, the area is given by:
A = pi*(D/2)²
Where pi = 3.14, and here we have half-circles, so we need to add a factor 0.5
The area of the shaded figure, the area of the shaded figure will be the area of the half circle with diameter of 17in minus the area of the half circle with a diameter of 8.5 in, so the area is:
area = 0.5*3.14*(17in/2)² - 0.5*3.14*(8.5in/2)² = 86.1 in²
Learn more about area:
brainly.com/question/24487155
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