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3 years ago

WILL AWARD BRAINLIEST (Find the measure of the complement and supplement)

Mathematics

1 answer:

melisa1 [442]3 years ago

8 0

Answer:

The complement is 53 and the supplement is 143

Step-by-step explanation:

Two complementary angles add to 90

PQR and x = 90

37+x = 90

Subtract 37 from each side

37-37 +x =90-37

x = 53

The complement is 53

Two supplementary angles add to 180 degrees

PQR and x = 180

37+x = 180

Subtract 37 from each side

37-37 +x= 180-37

x = 143

The supplement is 143

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t hits the square dartboard shown below at a random point. Find the probability that the dart lands in the shaded circular regio

masha68 [24]

Given:

Required:

To find the probability that the dart land will be in the shaded region.

Explanation:

Area of the circle is given by the formula:

$A=\pi r^2$

Where r = radius

Thus the area of the circular region

$\begin{gathered} =(3.14)\times(2)^2 \\ =3.14\times4 \\ =12.56\text{ square in.} \end{gathered}$

The area of the square is given by the formula:

$=(side)^2$

Thus the area of the given square

$\begin{gathered} =(6)^2 \\ =36\text{ square in.} \end{gathered}$

The probability of an event is given by the formula:

$P=\frac{number\text{ of possible outcomes}}{Total\text{ number of outcomes}}$

The probability that the dart land will be in the shaded region

$=\frac{Area\text{ of the shaded region}}{Area\text{ of the square}}$

Thus probability

$\begin{gathered} P=\frac{12.56}{36} \\ P=0.3488 \\ P=0.349 \end{gathered}$

Final answer:

Thus the probability that the dart land will be in the shaded region is 0.349.

6 0

1 year ago

W/18=3 I don't understand

Travka [436]

If you want to solve for w:

w/18= 3
multiply both sides by 18

(w/18)(18)= (3)(18)
18 "cancels out" on the left side

w= 54

CHECK
54/18= 3
3= 3

ANSWER: w= 54

Hope this helps! :)

6 0

3 years ago

Read 2 more answers

25 points and brainiest What is a fraction and how do you use it?

zheka24 [161]

Answer:

Step-by-step explanation:

A fraction is literally a division question in one number. You can use it to determine parts of something (parts of a whole)

3 0

4 years ago

If april is your starting month, what month will it be in 62 months?

Monica [59]

Start at April....60 months is 5 years.....12 x 5 = 60....leaving 2 months...so in 62 months, it is June

8 0

3 years ago

Out of six computer chips, two are defective. If two chips are randomly chosen for testing (without replacement), compute the pr

Ratling [72]

Answer:

The probability that of the two chips selected both are defective is 0.1089.

Step-by-step explanation:

Let X = number of defective chips.

It is provided that there are 2 defective chips among 6 chips.

The probability of selecting a defective chip is:

$P(X)=p=\frac{2}{6}=0.33$

A sample of n = 2 chips are selected.

The random variable X follows a Binomial distribution with parameter n = 2 and p = 0.33.

The probability function of a Binomial distribution is:

$P(X=x)={n\choose x}p^{x}(1-p)^{n-x};\ x=0, 1, 2, ...$

Compute the probability that of the two chips selected both are defective as follows:

$P(X=2)={2\choose 2}(0.33)^{2}(1-0.33)^{2-2}=1\times 0.1089\times 1=0.1089$

Thus, the probability that of the two chips selected both are defective is 0.1089.

The sample space of selecting two chips is:

S = (1, 2), (1, 3), (1, 4), (1, 5), (1, 6)

(2, 1), (2, 3), (2, 4), (2, 5), (2, 6)

(3, 1), (3, 2), (3, 4), (3, 5), (3, 6)

(4, 1), (4, 2), (4, 3), (4, 5), (4, 6)

(5, 1), (5, 2), (5, 3), (5, 4), (5, 6)

(6, 1), (6, 2), (6, 3), (6, 4), (6, 5)

3 0

3 years ago