<span>(A) Find the approximate length of the plank. Round to the nearest tenth of a foot.
Given that the distance of the ground is 3ft.
In order to get the length of the plank,
we can use the this one.
cos 49 = ground / plank
cos 49 = 3 / plank
plank = cos 49 / 3
plank = 0.10 ft
</span><span>(b) Find the height above the ground where the plank touches the wall. Round to the nearest tenth of a foot.
</span><span>
The remaining angle is equal to
angle = 180 - (90+49)
angle = 41
Finding the height.
tan 41 = height / ground
tan 41 = height / 3
height = tan 41 / 3
height = 0.05 ft.
(A) 0.10 feet
(B) 0.05 feet</span>
Answer:
Sqrt of 144 is 12
Step-by-step explanation:
Answer:
D. The new box plot will be positively skewed.
Step-by-step explanation:
We have been given a box plot which represents the the heights (in feet) of a sample of pine trees.
We are asked to determine that affect of adding a pine tree that is 140 feet tall to the sample.
We can see from our box plot that the tallest pine tree is 75 feet and 140 is approximately 2 times greater than 75.
After adding the a tree that is 140 feet tall, the maximum height will be 140 and our right whisker will be at point 140.
Since we know that for a positive skewed data, the tail of the distribution is longer on the right hand side.
As 140 is a extreme positive outlier for our given data set, therefore, after adding a tree that is 140 feet tall our box plot will be positively skewed and option D is the correct choice.
Answer (the system of equations input doesn't work, so there is no brace):
x = 1.5y
x + y =800
Step-by-step explanation:
First, identify the vital information:
- 800 total students
- 1.5 times as many boys as girls
So, if x = number of boys and y = number of girls, we can agree that:
x = 1.5y
And because there are 800 kids in total, we can agree that:
x + y = 800
There are 320 girls and 480 boys. (see below)
Since you have the value of x, 1.5y, you can plug-in the value:
x + y = 800
1.5 + y = 800
2.5y = 800
y = 320 girls
Plug-in the y-value into the equation for the number of boys:
x = 1.5y
x = 1.5(320)
x = 480 boys
To double-check:
320 + 480 = 800 ☺
Step-by-step explanation:
2x + 8 = 4x + 3 - 2x + 5
2x - 4x + 2x = 3 +5 -8
0 = 0
x = 0
