Answer:
63.3125 pounds or 63lbs and 5 ounces
Step-by-step explanation:
Answer:
400cm²
Step-by-step explanation:
The mnemonic SOH CAH TOA helps you remember the relevant trig relationship is
Sin(α) = Opposite/Hypotenuse
sin(α) = (1 ft)/(14 ft)
α = arcsin(1/14) ≈ 4°
The angle the ramp makes with the sidewalk is 4°.
Answer:
1. F
2. G
3. H
4. E
5. C
6. B
7. A
8. D
Step-by-step explanation:
1. For a horizontal line, this is zero. F. Slope
2. These lines have the same slope. G Parallel Lines
3. These lines meet at 90°. H Perpendicular Lines
4. This is where two lines meet. E. Point of Intersection
5. For the line 3 2 6 x y , this is −3. C. Y-intercept
6. The numbers 10 and 1 /10 are examples. B Reciprocals
7. This is the name for an equation of a line in the form Ax By C 0. A. Standard Form
8. For a vertical line, the value of x is constant and equal to this D. x-intercept
Using the binomial distribution, it is found that the expected values are given by:
a) 120.
b) 150.
<h3>What is the binomial probability distribution?</h3>
It is the probability of <u>exactly x successes on n repeated trials, with p probability</u> of a success on each trial.
The expected value of the binomial distribution is:
E(X) = np
In this problem, for both items, we consider that the number cube is rolled 180 times, hence n = 180.
Item a:
4 of the 6 possible values are greater than 2, hence p = 4/6 = 2/3.
The expected value is given by:
E(X) = 180 x 2/3 = 120.
Item b:
5 of the 6 values are less than 6, hence p = 5/6.
The expected value is given by:
E(X) = 180 x 5/6 = 150.
More can be learned about the binomial distribution at brainly.com/question/24863377
