Answer:
38.46%
Step-by-step explanation:
There are 91 students and 35 of them received a score of 90 or above.
So, there are 35/91 students with an A grade.
The probability to pick a random student that would be the same proportion that those who got the right score, so 35 / 91 = 0.3846 or 38.46%
38.46% of chances to pick someone who got an A (90 score or above), and, the opposite, 61.54% of chances to pick someone who didn't get an A. That's a strong class!
Answer:
interest
Step-by-step explanation:
you need to pay the bank interest because the bank needs to make money too, just like everyone
Answer:
x ≈ 8.99
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relationship between trig functions and sides in a right triangle. Here, the geometry of the problem can be modeled by a right triangle. We are given one side and want to find the difference in lengths of the other side for two different angles.
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<h3>setup</h3>
The tower height is the side opposite the angle of elevation. The distance from the tower to the end of the shadow is the side adjacent to the angle of elevation, so the relevant trig relation is ...
Tan = Opposite/Adjacent
tan(angle of elevation) = (tower height)/(length of shadow)
Solving for the length of shadow, we have ...
length of shadow = (tower height)/tan(angle of elevation)
The difference in shadow lengths is 2x for the two different angles, so we have ...
2x = 24.57/tan(30°) -24.57/tan(45°)
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<h3>solution</h3>
Dividing by 2 and factoring out the tower height, we have ...
x = 12.285(1/tan(30°) -1/tan(45°)) = 12.285(√3 -1)
x ≈ 8.993244
The value of x is about 8.99.
Answer:
71 tadpoles
Step-by-step explanation:
Windstone rescued 54 on Friday.
Let the number rescued on Saturday =x
The number rescued on Friday is 17 less than the number he rescued on Saturday.
This is written as:
To solve for x, we add 17 to both sides of the equation
Windstone Rescued 71 tadpoles on Saturday
Answer:
a(a - b)
Step-by-step explanation:
<u>given </u><u>polynomial</u>: a²- ab - 8a + 8a
We can first simplify this answer by removing like terms,
- 8a + 8a = 0
so we have a²- ab in. the simplest form
we can take this one step further and factor out the a (not simplest form)
a time a = a²
a times b = ab
hence, a(a - b)
Learn more about Factoring here: brainly.com/question/18032923
