Answer:
Yes
Step-by-step explanation:
There is 5280 ft in a mile
Answer:
A) 0.1636
B) 0.7292
C) 0.0305
Step-by-step explanation:
This is a binomial probability distribution question that follows;
P(X = x) = nCx × p^(x) × q^(n - x)
In this case, p = 64% = 0.64
q = 1 - p = 1 - 0.64 = 0.36
Thus;
A) P(exactly 5) = P(5) = 10C5 × 0.64^(5) × 0.36^(10 - 5) = 0.1636
B) P(at least 6) = P(x ≥ 6) = P(6) + P(7) + P(8) + P(9) + P(10)
P(6) = 10C6 × (0.64^(6)) × (0.36^(10 - 6)) = 0.2424
P(7) = 10C7 × (0.64^(7)) × (0.36^(10 - 7)) = 0.2462
P(8) = 10C8 × (0.64^(8)) × (0.36^(10 - 8)) = 0.1642
P(9) = 10C9 × (0.64^(9)) × (0.36^(10 - 9)) = 0.0649
P(10) = 10C10 × (0.64^(10)) × (0.36^(10 - 10)) = 0.0115
Thus;
P(x ≥ 6) = 0.2424 + 0.2462 + 0.1642 + 0.0649 + 0.0115
P(x ≥ 6) = 0.7292
C) P(x < 4) = P(0) + P(1) + P(2) + P(3)
From online binomial probability calculator, we have;
P(x < 4) = 0.0305
Step-by-step explanation:
Here you solve for length width and height, which multiplied equal volume. The only constant you have is that the width of the prism is 1/3 of its length.
WIDTH: 3 centimeters
LENGTH: Since the width is 1/3 of the length, 3 is 1/3 of something. So divide 3 by 1/3 to get 9. You can also just multiply 3 by 3.
HEIGHT: The height is half of the width, which is 3. Therefore 3 divided by 2 is 1.5.
Now multiply the values. 3 multiplied by 9 multiplied by 1.5
The answer is 40.5
CENTIMETERS!!!
DO NOT FORGET THE UNIT
Answer:
the plans can go 560 miles per hour and in 10 hours it can travel 5600 miles
Step-by-step explanation:
1st divide miles over hour so you have to do 3360/6 and the solution you get for that equation is how far the plane can go in miles per hour 2nd for the second question you have to multiply your unit rate by the 10 hours so since our unit rate was 560 miles per hour you would multiply 360 and 10.
Question 1:Look at the first attached image.
We want to solve for the height of the smaller building. Let's start by making a right triangle with angle of 15 degrees and adjacent side of 51 m.
Let's solve for the other leg. Multiply the tangent with 51 m to get the length of the other leg.


Now, subtract that from 207 to get the height of the smaller building.

That's your answer.
Question 2:
The angle of elevation is congruent to the angle of depression because they are alternate interior angles.
Thus, you can choose the 1st and 4th choices as your answer.
Question 3:Look at the second attached image.
Angle E is congruent to angle D for the same reasons mentioned in the last question.
We can create an equation.

Distributive property

Subtract both sides by 1 and 2x

Since E and D are congruent, just plug this value into one of the equations for E or D. You get 46.
The third choice is your answer. Hope this helps! :)