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TEA [102]
3 years ago
5

Michelle is rolling two six-sided dice, numbered one through six. What is the probability that the sum of her rolls is 8?

Mathematics
1 answer:
Verdich [7]3 years ago
3 0
The probability that the sum of Michelle's rolls is 4 is 0.083
∴ P(A)=0.083
Step-by-step explanation:
Given that Michelle is rolling two six-sided dice, numbered one through six.
To find the probability that the sum of her rolls is 4:

∴ n(s)=36
Let P(A) be the probability that the sum of her rolls is 4
Then the possible rolls with sums of 4 can be written as

n(A)=3
The probability that the sum of her rolls is 4 is given by



=0.083
∴ P(A)=0.083
∴ the probability that the sum of Michelle's rolls is 4 is 0.083

-please give brainliest if correct!
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the question does not present the options, but this does not interfere with the resolution


we know that

if a and b are parallel lines

so


1) m∠2=58°------> by corresponding angles


2) m∠1=4x-10------> by alternate exterior angles


3) [m∠2+m∠(3x-1)]+m ∠1=180°------> by supplementary angles

58+(3x-1)+4x-10=180

7x=180-47

7x=133

x=19°


4) angle (4x-10)=-4*19-10-------> 66°


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3 0
3 years ago
7. The height of each story of an apartment
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How many stories does it have?
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A storage space in a basement is in the shape of a rectangular prisim. The hieght of the storage space is 5 feet. The length is
Greeley [361]

Answer:

length is 28.86ft

width= 4.12ft

Step-by-step explanation:

<h2>This problem bothers on the mensuration of solid shapes, a rectangular prism.</h2>

The storage space takes the shape of a rectangular prism, and we are required to find the width and length  of the storage space.

let the width of the basement be "w"

Given data

volume v=595ft^{3}

length l = 7w ft

width w= w

height h= 5 ft

We know that the expression for the volume of a rectangular prism is

volume= length * width* height

substituting our data we have to find "w"

595= 7w*w*5\\595=7w^{2}*5\\ 595= 35w^{2} \\

dividing both sides by 35 we have

w^{2}= \frac{595}{35\\}  \\w^{2}= 17\\

find the square root of both sides we have

w=\sqrt{17} \\w= 4.12

since we know that length= 7w and width = w , we can substitute our value for w and find the length and width

length= 7*4.12= 28.86ft\\width = 4.12ft

6 0
3 years ago
Jaime has a budget in which 1/4 of the money is for photocopying 3/7 of the money is for computer expenses and the rest of the m
Marat540 [252]
Let
x-------> <span>Jaime budget
</span>s------> <span>fraction of Jaime budget for student tutors
</span><span>
we know that
x=(1/4)x+(3/7)x+s

3/7 is equal to-----> (3/7)*(2/2)----> 6/14
substitute
</span>x=(1/4)x+(6/14)x+s<span>
x=(7/14)x+s
s=x-(7/14)x
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the answer is
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6 0
3 years ago
Use algebraic means to show that x^2 + y^2 = 8 is not a function. Explain your process.
11Alexandr11 [23.1K]

Answer:

For a single value of x function has more than one corresponding value of y which satisfies the equation.

Step-by-step explanation:

Function: A relationship between a set of inputs and a set of possible outputs, where exactly one output is associated with each input.

It means for an equation to represent a function any single value of  x there should be only one corresponding value of  y which satisfies the equation.

Now consider the given equation.

x^2 + y^2 = 8

If we put x=0 then we get two value of y i.e \sqrt8 and -\sqrt8 which satisfy the equation  and therefore the equation is not a function.

5 0
3 years ago
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