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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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Simplify 55.55555555556 to a fraction.
LenKa [72]

the answer is

\frac{500}{9}

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3 years ago
Two cubes have sides of length 3 cm and 8 cm. what is the ratio of their respective surface areas?
Phoenix [80]

The surface area formula for a cube is: 6 * s^2, where s is the side length.

The two surface areas are:

6 * 3^2 = 54

and

6 * 8^2 = 384

The ratio of their surface areas, from the surface area of the smaller cube to the surface area of the larger cube is:

54/384 = 9/64

The answer is 9/64.

Note that another way to to find the ratio of the squares of the side lengths of the cubes.

7 0
3 years ago
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Solve for x: 3x^2+6x=2
vekshin1

Answer:

x = -1±sqrt(5/3)

Step-by-step explanation:

3x^2+6x=2

We will use completing the square

Factor out a 3 on the left

3(x^2 +2x) = 2

Divide each side by 3

3/3(x^2 +2x) = 2/3

(x^2 +2x) = 2/3

2/2 = 1 1^2 =1

Add 1 to each side

(x^2 +2x+1) = 2/3+1

(x+1) ^2 = 2/3 +3/3

(x+1)^2 = 5/3

Take the square root of each side

sqrt((x+1)^2) = ±sqrt(5/3)

x+1 = ±sqrt(5/3)

Subtract 1 from each side

x+1-1 = -1±sqrt(5/3)

x = -1±sqrt(5/3)


7 0
3 years ago
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3 What is the value of h for this parallelogram? h a = 84 cm? b = 14 cm​
allochka39001 [22]

Answer:

98?

Step-by-step explanation:

that your best shot id.....

5 0
3 years ago
Which statements are true about the solution of 15 greater-than-or-equal-to 22 + x? Select three options. x greater-than-or-equa
Sidana [21]

Answer:

x \leq  -7

The graph has a closed circle.

–7 is part of the solution.

Step-by-step explanation:

Given

15 \geq 22 + x

Required

Select 3 options from the given list of options

15 \geq 22 + x

Subtract 22 from both sides

15 - 22 \geq 22 - 22+ x

-7 \geq x

Swap positions of the expression; Note that the inequality sign will change

x \leq  -7

This means  <em>x less-than-or-equal-to negative 7</em>

<em></em>

There are two options left to select;

The inequality sign in x \leq  -7 implies that the graph has a close circle.

Inequality signs such as \leq and  \geq signifies a close circle

There is only one option left to select;

Lastly;

Split the expression x \leq  -7 into two

We have:

x < -7 or x = -7

Because x = 7,

Then, -7 is also a part of the solution

3 0
4 years ago
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