A hiker in Yellowstone National Park came upon a field with bison and

(Find the Probability Question)<br><br> Choose 2 girls from a class of 12 boys and 8 girls.

Ulleksa [173]

Step-by-step explanation:

what should be the question ?

how many different pairs of 2 girls can you pick out of 8 ?

what is the probability that a specific girl is in the picked pair ?

or is it : if you pick randomly 2 students from the class, what is the probability to have picked 2 girls ?

and there are more options.

but I assume the problem is the picking randomly 2 students.

so, it is 20 students (12 + 8). if we pick 1 student, we have a chance of 12/20 = 3/5 to pick a boy, and a chance of 8/20 = 2/5 to pick a girl.

in our experiment we pick 2 students in a row without returning the first pick into the main pool.

the probabilty for the first pick to be a girl is, as mentioned, 2/5 or 0.4.

for the second pick we have only 7 out of 19 choices to pick a girl. so, the probability to pick a girl now is 7/19.

the combination of both (non-overlapping) probabilities is done via multiplication, and the probabilty to pick 2 girls is :

2/5 × 7/19 = 2×7 / 5×19 = 14/95 = 0.147368421...

7 0

2 years ago

What is the surface area of the figure?

oksano4ka [1.4K]

We have 8 sides to calculate, it will be hard to explain which side I'm calculating without marking on the picture.

We will start with the front facing side. We can break this up into an 8ft x 8ft square, and a 14ft x 6ft rectangle. The area equals:
8ft x 8ft + 14ft x 6ft = 148ft^2

The front facing is the same area as is back facing counterpart so we can multiply the surface area by 2:
148ft^2 x 2 = 296f^2

Adding the bottom surface area 6ft x 14ft:
6ft x 14ft + 296ft^2 = 380ft^2

Adding the right side 6ft x 14ft:
6ft x 14ft + 380ft^2 = 464ft^2

Adding the left side 8ft x 6ft:
8ft x 6ft + 464ft^2 = 512ft^2

Adding the 3 sides on the top 8ft x 6ft (top facing), 6ft x 6ft (top facing), and 6ft x 6ft (left facing):
<span>8ft x 6ft + 512ft^2 = 560ft^2
</span><span>6ft x 6ft + 560ft^2 = 596ft^2
</span>6ft x 6ft + <span>596</span>ft^2 = 632ft^2

Therefore the answer is C, 632 ft^2.

5 0

3 years ago

A radioactive compound with mass of 260 grams decays at a rate of 3.8% per hour. Which equation represents how many grams of the

Dahasolnce [82]

The exponential equation that represents how many grams of the compound will remain after 8 hours is:

B: C=260(0.962)^8

<h3>What is an exponential function?</h3>

A decaying exponential function is modeled by:

$A(t) = A(0)(1 - r)^t$

In which:

A(0) is the initial value.

r is the decay rate, as a decimal.

A radioactive compound with mass of 260 grams decays at a rate of 3.8% per hour, hence the equation for the mass after t hours is given by:

$A(t) = 260(1 - 0.038)^t$

$A(t) = 260(0.962)^t$

After 8 hours, the amount is given by:

$A(t) = 260(0.962)^8$

Hence option B is correct.

More can be learned about exponential equations at brainly.com/question/25537936

7 0

2 years ago

A prism is filled with 28 cubes with 1/2 unit lengths. What is the volume of the prism in cubic units?

stira [4]

Answer:

3.5 cubic units

Step-by-step explanation:

First, find the volume of one cube

Use the cube volume formula, V = s³, where s is the side length

V = (1/2)³

V = 1/8 cubic units

Now, find the volume of the prism by multiplying this by 28, since there are 28 cubes

28(1/8)

= 3.5

So, the volume of the prism is 3.5 cubic units

6 0

3 years ago

What is the equation of the following line? (-3,1) and (0,0)

aleksklad [387]

Answer:

y = (1/3)x

Step-by-step explanation:

If the y-intercept is (0, 0), then y = mx + b becomes y = mx.

Seeing that y increases by 1, going from (-3, 1) to (0, 0), and that x increases by 3, we determine that the slope, m, is 1/3.

The equation of this line is therefore y = (1/3)x.

4 0

3 years ago