Answer:
The representative sample contained more girls than boys.
Answer:
y = 4x + 4
Step-by-step explanation:
Two points you can see on the graph are (0,4) and (-2,-4)
Now, to find the slope, use delta y/ delta x
(-4-4)/(-2-0)
(-8)/(-2) = 4
Slope is 4.
y = 4x + b
Now, to find b, we need the y-intercept, which is the point where x is 0 and the graph crosses the y-axis.
This value is 4. So, the y-intercept is 4
Substitute into your equation
y = 4x + 4
Answer:
The tree is 16.25 m tall.
Step-by-step explanation:
Attached is a diagram that better explains the problem.
From the diagram we see that the distance between the top of the tree and the line of sight of the observer is x.
To find the height of the tree, we need to first find x and then add it to the height of the observers line of sight from the ground.
Using SOHCAHTOA trigonometric function:
tan(20) = x/39.2
=> x = 39.2 * tan(20)
x = 39.2 * 0.364
x = 14.27m
Hence, the height of the tree is:
(14.27 + 1.98)m
16.25m
The tree is 16.25 m tall.
Answer: The new boxes are 14 ft3 larger.
Step-by-step explanation:
Hi, to answer this question we have to calculate the volume of each box and compare them.
Volume of a rectangular prism = base x height x length
Replacing with the values given:
Old boxes volume: 4 x 2 x 2 =16 cubic feet
New boxes' volume: 3 x 5 x 2 = 30 cubic feet
Subtraction the old boxes volume to the new boxes volume:
30 ft3- 16 ft3 = 14 ft3
The new boxes are 14 ft3 larger.
