Reciprocal of a fraction<h2>Answer</h2>
8/7
<h2>Explanation</h2>
In this case, the base is 7/8 and the exponent is -4.
In order to find the reciprocal of a fraction we just have to flip it upside down:
That is why the answer is 8/7.
Answer:
=
−
3
/2
Precalculus, Matrix
Rearrange terms, Combine multiplied terms into a single fraction, distribute, Multiply all terms by the same value to eliminate fraction denominators, Multiply all terms by the same value to eliminate fraction denominators
. Cancel multiplied terms that are in the denominator
. Multiply the numbers
. Add 4 to both sides of the equation
. Simplify.
Divide both sides of the equation by the same term . Simplify
3% up to 10,000
5% over 10,000
10500 - 10000 = 500
10000 * 0.03 = 300
500 * 0.05 = 25
300 + 25 = 325 total
Answer is B
Answer: 0.86 of the exam scores are between 68 and 77.99 points
Step-by-step explanation:
Since the set of computer science exam scores are normally distributed, we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = computer science exam scores .
µ = mean score
σ = standard deviation
From the information given,
µ = 71.33 points
σ = 3 points
We want to find the proportion of the exam scores are between 68 and 77.99 points. It is expressed as
P(68 ≤ x ≤ 77.99)
For x = 68,
z = (68 - 71.33)/3 = - 1.11
Looking at the normal distribution table, the probability corresponding to the z score is 0.13
For x = 68,
z = (77.99 - 71.33)/3 = 2.22
Looking at the normal distribution table, the probability corresponding to the z score is 0.99
P(68 ≤ x ≤ 77.99) = 0.99 - 0.13 = 0.86
Let Angle A = X
Since Angle B is the same, angle B is also X
Then angle C = X +45
Add the 3 angles together: X +X +X +45 = 3x+45
That equals 180 degrees:
3x+45 = 180
Subtract 45 from both sides:
3x = 135
Divide both sides by 3:
X = 135/3
X = 45
Angle A = 45
Angle B = 45
Angle C = 45+45 = 90
