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Sergio [31]
3 years ago
7

A university class has 16 students enrolled, 4 of whom are freshmen.

Mathematics
1 answer:
joja [24]3 years ago
3 0

Answer:

1/4

Step-by-step explanation:

The total number of students = 16

4 are freshman

Therefore,

The probability of choosing a freshman is 4/16 which reduces to 1/4

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Match each circular flower bed on the left to its circumference and its area on the right. Some answer options on the right will
marin [14]

Answer:

Bed A --- Third Option

Bed B --- Fifth Option

Step-by-step explanation:

Flower Bed A)

The formula for circumference is:

C=2\pi r

The diameter of A is 10 feet. So, its radius is 5 feet.

Substitute 5 for r. So, the circumference of Bed A is:

C=2\pi (5)=10\pi\text{ feet}

The formula for the area of a circle is:

A=\pi r^2

Substitute 5 for r:

A=\pi (5)^2

Square and simplify:

A=25\pi \text{ square feet}

So, the circumference of Bed A is 10π feet and its area is 25π square feet.

Therefore, match Bed A to the third option.

Flower Bed B)

The radius of Bed B is 6 feet. Again, we can use the circumference and area formulas. Substitute 6 for r for circumference:

C=2\pi (6)

Multiply:

C=12\pi\text{ feet}

Substitute 6 for r for the area formula:

A=\pi(6)^2

Square and simplify:

A=36\pi\text{ square feet}

So, Bed B has a 12π feet circumference and a 36π square feet area.

Therefore, match Bed B to the fifth option.

And we're done!

8 0
3 years ago
Please someone explain how to solve this piecewise function!!!! Im super confused
Xelga [282]

Answer:

From top to bottom:

0, 1, 2, -8, -8

Step-by-step explanation:

We are given the piecewise function:

g(x) = \left\{        \begin{array}{ll}            0.5x+1 & \text{if } x \leq 2 \\            -8 & \text{if } x > 2        \end{array}    \right.

Row 1:

We want to find g(-2).

Since -2 is less than (or equal to) 2, we will use the first equation. Thus:

g(-2)=0.5(-2)+1=-1+1=0

Row 2:

Likewise, 0 is less than or equal to 2. We will continue to use the first equation:

g(0)=0.5(0)+1=1

Row 3:

2 is not less than 2 but it is equal to 2. So we will continue to use the first equation:

g(2)=0.5(2)+1=1+1=2

Row 4 and 5:

Both 4 and 6 are greater than 2. Thus, we will use the second equation. Therefore:

g(4)=-8\text{ and } g(6)=-8

7 0
3 years ago
Which is more 0.5 or 5.0 and which is more 0.5 or 0.50
andriy [413]
1) 5.0
2) same

Hope that helped
And number two is equal because the 0 on the end don't count.
You could ask an teacher if you want, I mean I don't mine
7 0
3 years ago
Read 2 more answers
W+12>15 help me please I do not understand
Mkey [24]

Answer:

W > 3

Step-by-step explanation:

im guessing you simplify. thats what i would do anyway

8 0
3 years ago
Read 2 more answers
A line with a slope of 10 passes through the point (0,4). What is its equation in
Alexus [3.1K]

Answer:

y=10x+4

Step-by-step explanation:

y-y1=m(x-x1)

y-4=10(x-0)

y-4=10(x)

y-4=10x

y=10x+4

7 0
3 years ago
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