Answer:
A. 19.3ft B. 5.2ft
Step-by-step explanation:
So the ladder leaning against the wall forms a triangle. The hypotenuse of
triangle is the ladder (20) and the angle given between ladder an ground is 75 degrees. Use trig to find the height of the wall which is the leg of the triangle.
Sine of Angle is opposite side/hypotenuse
Cosine of Angle is adjacent side/hypotenuse
so Sine of 75 degrees = Wall height/20
Wall height = 20 times Sine of 75 degrees
Sine of 75 degrees = .9659
20 times (.9659) = 19.3ft
So now use Cosine to find the other leg of the triangle (the distance between the bottom of ladder to the wall)
Cosine of 75 degrees = Distance wall to base of ladder / 20
Cosine of 75 degrees = .2588
20 times (.2588) = 5.2ft
Answer:
2x + 9y = 60
10x + 5y = 60
The price of each bag of popcorn is $6.
Step-by-step explanation:
Let each drink costs $x and the price of each bag of popcorn is $y.
So, from the given two conditions we can write two different equations as
2x + 9y = 60 ............... (1) and
10x + 5y = 60 ................. (2)
Now, solving those two equations we get,
5(60 - 9y) + 5y = 60
⇒ 300 - 45y + 5y = 60
⇒ 40y = 240
⇒ y = 6
Therefore, the price of each bag of popcorn is $6. (Answer)
43% = 'Piano'
28% = 'Guitar'
15% = 'Harmonica'
12% = 'Drums'
2% = ...Other Instruments
- '2' Does seems as to be the <u>smallest</u> but it could be a trick.
- '43' Is the largest percentage out of the whole group.
- '100' Is what you get when you add all of the percentages together.
- And if you try to evaluate the percentages together in either way it'll end up to be '0.00004334' so that executes '250' and '150' from out of the question.
I'm not sure exactly what the actual answer could be but I'm assuming since it said "What is the smallest number of people required for the sample to meet the conditions for performing inference" Then my assumption is '2'.
Answer:
6
Step-by-step explanation:
3(4-2) distribute 3
12-6
6
