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sladkih [1.3K]
1 year ago
15

This probability distribution shows thetypical grade distribution for a Geometrycourse with 35 students.GradeАBсDFFrequency 5101

532Using the frequencies given, find theprobability that a student earns a grade of A.p = [?]
Mathematics
1 answer:
Serggg [28]1 year ago
6 0

Probability is expressed as

number of favourable outcomes/total number of possible outcomes

Looking at the given scenario, the number os students that earned a grade of A is 5. Since we are concerned with these students, then, the number of favourable outcomes is 5.

The total number of students for all grades is 35. This means that the total number of possible outcomes is 35

Thus, the probability that a student earns a grade of A is

5/35

= 0.14

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Write the equation of the line through (6,4) that is parallel to the line whose equation is y= 1/2 x+7. Show all work below and
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Answer:

\displaystyle y = \frac{1}{2}x + 1

Step-by-step explanation:

4 = ½[6] + b

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const2013 [10]
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What steps should be taken to calculate the volume of the right triangular prism? Select three options.
Mariana [72]

Answer:

Options A, D and E.

Step-by-step explanation:

Formula to calculate the volume of the triangular prism is,

Volume of the triangular prism = (Area of the triangular base)×(height)

                                                    = B × h

Area of the right triangular base = \frac{1}{2}(\text{Base})(\text{height})

                                                      = \frac{1}{2}(8)(14)

                                                      = 56 m²                                                    

                   Volume of the prism = (56)(7)

                                                      = 392 cubic meter

Therefore, from the given options correct options are Option A, Option D and Option E.

5 0
3 years ago
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ivanzaharov [21]
I can burly read that but the fraction should be right

6 0
3 years ago
Stacy wants to build a patio with a small, circular pond in her backyard.The pond will have a 6-foot radius. She also wants to i
solong [7]
First we are going to find the Area of the pond using the area of a circle formula: A= \pi r^2
where
A is the area of the circle 
r is the radius of the circle 
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A= \pi r^2
A= \pi (6)^2
A=113.1ft^{2}
We know that the <span>cost of installing the pond is $0.62 per square foot, so lets multiply the area we just found by the cost:
Total cost of pund=</span>(0.62)(113.1)=70.12 dollars

Now, let x be the width the rectangle, so its length will be x+13. Remember that the area of a rectangle is width times length, so:
A=x(x+13)
A=(x^2+13x)ft^2
Since the cost of installing ties is $1, the cost of installing ties in our rectangle will be x^2+13x dollars.

<span>Stacy can spend no more than $536 on this project, so we can setup an inequality relating the cost of the pound and the cost of installing ties:
</span>70.12+x^2+13x \leq 536
x^2+13x \leq 465.88

We can conclude that the inequality that can be used to fin the width, x, of the patio is x^2+13x \leq 465.88
6 0
3 years ago
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