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3 years ago

I got a 100% on my quiz that is 15% of my grade. My grade is currently an 85 overall, What will my final grade be?

Mathematics

2 answers:

LiRa [457]3 years ago

7 0

Answer:

72.4

Step-by-step explanation:

85 (.85) + 1 (.15)

72.25 + 0.15

72.4

~batmans wife dun dun dun....

liq [111]3 years ago

3 0

forgive me if im wrong, im perfectly fine with you reporting me if its wrong cuz i dont care about the points i just wanna help, but im pretty sure the answer is 100, or an A

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How do I know when to use addition or subtraction when doing compound event probability?

Nitella [24]

Addition Rule 1:

When two events, A and B, are mutually exclusive, the probability that A or B will occur is the sum of the probability of each event.

P(A or B) = P(A) + P(B)

Addition Rule 2:

When two events, A and B, are non-mutually exclusive, the probability that A or B will occur is:

P(A or B) = P(A) + P(B) - P(A and B)

In the rule above, P(A and B) refers to the overlap of the two events.

A student goes to the library. The probability that she checks out (a) a work of fiction is 0.40, (b) a work of non-fiction is 0.30, and (c) both fiction and non-fiction is 0.20. What is the probability that the student checks out a work of fiction, non-fiction, or both?

Solution: Let F = the event that the student checks out fiction; and let N = the event that the student checks out non-fiction. Then, based on the rule of addition:

P(F ∪ N) = P(F) + P(N) - P(F ∩ N)

P(F ∪ N) = 0.40 + 0.30 - 0.20 = 0.50

Subtraction Rule:

The probability that event A will occur is equal to 1 minus the probability that event A will not occur.

P(A) = 1 - P(A')

Suppose, for example, the probability that Bill will graduate from college is 0.80. What is the probability that Bill will not graduate from college? Based on the rule of subtraction, the probability that Bill will not graduate is 1.00 - 0.80 or 0.20.

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3 years ago

An angle measures 88° more than the measure of its supplementary angle. What is the measure of each angle?

Ghella [55]

134 and 46

134-88=46

46+134=180

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4 years ago

What is the radius of a circle with with circumference 94.2mm?

irakobra [83]

Answer:

14.99mm

Step-by-step explanation:

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3 years ago

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Among all pairs of numbers (x,y)such that 6x+2y=36 find the pair for which the sum of squares, x^2+y^2 is minimum.

lora16 [44]

First, we simplify 6x+2y=36 into 3x+y=18 by dividing by 2. This means that y=-3x+18.

The sum $x^2+y^2$ can be written as: $x^2+y^2=(x+y)^2-2xy$ ,

from the binomial expansion formula: $(x+y)^2=x^2+2xy+y^2$ .

Thus, substituting y=-3x+18 and simplifying we have

 $x^2+y^2=(x+(-3x+18))^2-2x(-3x+18)$ $=(-2x+18)^2+6x^2-36x=4x^2-72x+18^2+6x^2-36x$ $=10x^2-108x+18^2$ .

This is a parabola which opens upwards (the coefficient of x^2 is positive), so its minimum is at the vertex. To find x, we apply the formula -b/2a. Substituting b=-108, a=10, we find that x is 108/20=5.4.

At x=5.4, the expression $10x^2-108x+18^2$ , which is equivalent to $x^2+y^2$ , takes it smallest value.

Substituting, we would find $10x^2-108x+18^2=10(5.4)^2-108(5.4)+18^2=291.6-583.2+324$ =32.4 This is the smallest value of the expression.

For x=5.4, y=-3x+18=-3(5.4)+18=1.8.

Answer: (5.4, 1.8)

8 0

3 years ago

I need this ASAP please!!!

Andrej [43]

Answer:

Step-by-step explanation:

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3 years ago

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