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prisoha [69]
2 years ago
15

Find c.

Mathematics
1 answer:
Mazyrski [523]2 years ago
7 0

Answer:

: c2 = a2 + b2 - 2ab cos C

c²=20²+15²-2×15×20×cos50

c²=400+225-600×0.64

c²=241

c=√241=15.5ft

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Sample Response: A linear function has a constant additive rate of change, while a nonlinear function does not. For a table of v
Leokris [45]

Answer:

The response that are true are:

  • linear function has a constant additive rate of change, while a nonlinear function does not.

Since in linear function the rate of change is always equal as for a linear function we get a equation of line such that the slope is same.

  • On a graph, the function must be a straight line to be linear.

Liner means there is a straight line of the function.

( Also it need not be true that the independent variable increases by 1.

There may be change of some other quantity in independent variable )

5 0
3 years ago
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An alarming number of U.S. adults are either overweight or obese. The distinction between overweight and obese is made on the ba
madreJ [45]

Answer:

(A) The probability that a randomly selected adult is either overweight or obese is 0.688.

(B) The probability that a randomly selected adult is neither overweight nor obese is 0.312.

(C) The events "overweight" and "obese" exhaustive.

(D) The events "overweight" and "obese" mutually exclusive.

Step-by-step explanation:

Denote the events as follows:

<em>X</em> = a person is overweight

<em>Y</em> = a person is obese.

The information provided is:

A person is overweight if they have BMI 25 or more but below 30.

A person is obese if they have BMI 30 or more.

P (X) = 0.331

P (Y) = 0.357

(A)

The events of a person being overweight or obese cannot occur together.

Since if a person is overweight they have (25 ≤ BMI < 30) and if they are obese they have BMI ≥ 30.

So, P (X ∩ Y) = 0.

Compute the probability that a randomly selected adult is either overweight or obese as follows:

P(X\cup Y)=P(X)+P(Y)-P(X\cap Y)\\=0.331+0.357-0\\=0.688

Thus, the probability that a randomly selected adult is either overweight or obese is 0.688.

(B)

Commute the probability that a randomly selected adult is neither overweight nor obese as follows:

P(X^{c}\cup Y^{c})=1-P(X\cup Y)\\=1-0.688\\=0.312

Thus, the probability that a randomly selected adult is neither overweight nor obese is 0.312.

(C)

If two events cannot occur together, but they form a sample space when combined are known as exhaustive events.

For example, flip of coin. On a flip of a coin, the flip turns as either Heads or Tails but never both. But together the event of getting a Heads and Tails form a sample space of a single flip of a coin.

In this case also, together the event of a person being overweight or obese forms a sample space of people who are heavier in general.

Thus, the events "overweight" and "obese" exhaustive.

(D)

Mutually exclusive events are those events that cannot occur at the same time.

The events of a person being overweight and obese are mutually exclusive.

5 0
2 years ago
PLEASE HELP ME QUICK WILL GIVE BRAINLIEST!
goldenfox [79]

Answer:

(8 times 50)+ (8 times 2)

Step-by-step explanation:

6 0
3 years ago
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I need help on this it is a fraction subtract another fraction which is negative thx to whoever helps 5/7-(-1/7)
Sav [38]

Answer:

\frac{5}{7}-(-\frac{1}{7})=\frac{6}{7}

Step-by-step explanation:

To evaluate :

\frac{5}{7}-(-\frac{1}{7})

Solution:

Two negatives multiply to become a positive.

Thus, we can remove parenthesis by reversing the signs of the fraction by multiplying the negative outside.

⇒ \frac{5}{7}+\frac{1}{7}

Since the denominators are same for both fractions, so we simply add the numerators.

⇒ \frac{5+1}{7}

⇒ \frac{6}{7}  (Answer)

6 0
2 years ago
50 POINTS find the length of ab plz help me
Umnica [9.8K]

Answer:

about 9.4 units

Step-by-step explanation:

Distance formula:

√(x1 - x2)² + (y2 - y1)²

Coordinates:

A (4, 2)

B (9, 10)

Let's make 9 = x1

Let's make 4 = x2

Let's make 10 = y1

Let's make 2 = y2

Substitute into the distance formula:

√(x1 - x2)² + (y2 - y1)²

√(9 - 4)² + (2 - 10)²

Solve:

√(9 - 4)² + (2 - 10)²

√(5)² + (-8)²

√25 + 64

√89

≈ 9.4

Therefore, the length of AB is approximately 9.4 units.

7 0
3 years ago
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