To determine whether 10a-10c are true or false, you first need to know how to find the volume of the shoebox and the volume of the crate.
The equation for volume is l × w × h where l is the length, w is the width, and h is the height.
So, the volume of the shoebox is
V = l × w × h
V = 12 × 6 × 4
V = 288 cubic inches.
To find the volume of the crate, we simply multiply the volume of one shoebox by 20, as the crate holds 20 shoeboxes.
228 × 20 = 4560 cubic inches.
10a. Each shoebox has a volume of 22 cubic inches. <span>False. The volume is 228 cubic inches.
</span>10b. Each crate has a volume of about 440 cubic inches. <span>False. The volume of each crate is 4560 cubic inches.</span><span>
</span>10c. If the crate could hold 27 shoeboxes, the volume of the crate would be about 7,776 cubic inches.
For this one, let's do some more math. Since we figured out the volume of a crate holding 20 shoeboxes is 4560 cubic inches, let's do the same thing to find the volume of a crate holding 27 shoeboxes.
228 × 27 = 6156 cubic inches.
<span>False. The volume of a crate holding 27 shoeboxes would be 6156 cubic inches.
</span>11 part A:
Each term above describes the term below, but the term below doesn't necessarily describe the term above.
The choice of terms is : <span>trapezoid</span>, <span>triangle</span>, <span>rhombus</span>, <span>parallelogram</span>
Before we do anything else, let's define our terms, as well as the ones used in the diagram.
Trapezoid - A four sided shape with a pair opposite parallel sides.<span>
Triangle - </span>A shape with three sides.<span>
Rhombus - </span>A shape with four equal straight sides<span>.
Parallelogram - </span>A quadrilateral with two sets of parallel sides.<span>
Quadrilateral - </span>A four-sided shape with four angles.<span>
Square - </span>A four-sided shape with all four sides the same length, and all four angles are the same size.
The first term is quadrilateral. From this, we can determine that the term <span>triangle</span> won't be used at all, as it's a three-sided figure, whereas a <span>quadrilateral</span> is a four-sided figure. This leaves <span>trapezoid, rhombus, </span>and <span>parallelogram </span>as our terms.
A <span>trapezoid </span>is a <span>quadrilateral</span>, because it has four sides, but it can't be a <span>rhombus </span>or <span>parallelogram</span>, so it goes in the first open box.
A parallelogram is a trapezoid, because it has a pair of opposite parallel sides, but it can't be a rhombus, because it doesn't necessarily have all equal sides, so it goes in the second open box.
A rhombus is a parallelogram, because it has two sets of parallel sides, and goes in the third open box.
So, from top box to bottom box, the order the term go is
Quadrilateral
Trapezoid
Parallelogram
Rhombus
Square
Answer:
a) F. H 0 : μ O ≥ μ C
H 1 : μ O < μ C
b) B. two-tailed
d) 
e) 
f) B. Reject the null hypothesis
Step-by-step explanation:
Information provided
represent the mean for the Orange Coast
represent the mean for the Coastline
represent the sample standard deviation for Orange Coast
represent the sample standard deviation for Coastline
sample size for Orange Coast
sample size for Coastline
Significance level provided
t would represent the statistic
Part a
For this case we want to test the claim that the mean GPA of Orange Coast students is smaller than the mean GPA of Coastline students
Null hypothesis:
Alternative hypothesis:
F. H 0 : μ O ≥ μ C
H 1 : μ O < μ C
Part b
For this case we need to conduct a left tailed test.
B. two-tailed
Part d
The statistic is given by:
(1)
And the degrees of freedom are given by 
Replacing the info we got:
Part e
We can calculate the p value with this probability:
Part f
Since the p value is a very low value compared to the significance level given of 0.005 we can reject the null hypothesis.
B. Reject the null hypothesis
Parallelogram
- quadrilateral (four sided figure)
- oposite sides parallel
<span>Rectangle
</span>- quadrilateral
- equiangular
<span>- right angle (90</span>° angle)<span>
Isosceles Trapezoid
</span>- quadrilateral
- pair of parallel sides
- called "trampezium" in the UK
<span>Square
</span>- regular quadrilateral
- equiangular
- right angles (90°)
Answer:
0.667
Step-by-step explanation:
Angle in a circle = 360°
Area of total shaded parts = 60 + 60 = 120°
Area of total unshaded parts = 360-120 = 240°
Probability that a random selected point within the circle falls in the unshaded area
= 240/360
= 2/3
≈ 0.667
I apologize in advance if I made a mistake.
