The answer is: "6.75 ft." .
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Explanation:
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2 / 3 = (4.5) / x ; Solve for "x" ;
2x = (3)(4.5) ;
Divide each side of the equation by "2" ; to isolate "x" on one side of the equation; and to solve for "x" ;
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2x / 2 = [3*(4.5)] / 2 ;
to get: x = (13.5)/2 = 6.75 ft. This is already rounded to the
nearest hundredth.
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Answer: It is a Rotation Angle 90 Degrees clockwise about the point (3,4)
Step-by-step explanation:
Mark the point (3,4) with your finger and turn your phone once to the right Your old shape is where your new shape your be now. That’s rotation.
Answer:
The graph in the attached figure
Step-by-step explanation:
we have

Remember that the radicand must be greater than or equal to zero
so

solve for x
subtract 2 both sides

The domain is the interval [-2,∞)
All real number greater than or equal to -2
For x=-2

so
The range is the interval [0,∞)
All real number greater than or equal to 0
Find the y-intercept
Remember that the y-intercept is the value of y when the value of x is equal to zero
For x=0



The y-intercept is the point (0,4.243)
therefore
The graph in the attached figure
Answer:
The probability that in a one-game playoff, her score is more than 227 is 0.4404.
Step-by-step explanation:
We are given that Susan has been on a bowling team for 14 years. After examining all of her scores over that period of time, she finds that they follow a normal distribution. Her average score is 225, with a standard deviation of 13.
<em>Let, X = scores over that period of time</em>
X ~ N(
)
The z score probability distribution is given by;
Z =
~ N(0,1)
where,
= average score
= standard deviation
So, probability that in a one-game playoff, her score is more than 227 is given by = P(X > 227)
P(X > 227) = P(
<
) = P(Z > 0.15) = 1 - P(Z
0.15)
= 1 - 0.55962 = 0.4404
Therefore, probability that in a one-game playoff, her score is more than 227 is 0.4404.
Answer:
Kerry should pay = 155520
Step-by-step explanation:
Total amount paid = 14,4000 + 8% of 14,4000
It is given that,
Kerry purchased a used car for 14,4000. And had to pay 8% sales tax
<u>To find the 8% of 14,4000</u>
8% of 14,4000 = (8*144000)/100 = 11520
<u>To find total amount paid</u>
Total amount paid = 14,4000 + 8% of 14,4000
= 14,4000 + 11520 =155520
Therefore Kerry should pay = 155520