MATHEMATICS HIGH SCHOOL

The numbers 1 through 50 are written with red marker on slips of paper while the numbers 51 through 100 are written with blue marker on slips of paper. All the papers are put into a bag and shuffled. One card is
randomly selected.
a. Find the probability of selecting a number less than 16 or a number written in red.
b. Find the probability of selecting a number written in blue or a multiple of 5.

Answers

Answer 1
Answer: A. we want to pull 15 or less from the bag and there are 100 possibilities
(15)/(100)=(3)/(20)
the probability is 3 out of 20

B. we are trying to pull a 55,60,65,75,80,85,90,95,or 100 that is 9 possibilities out of 100

(9)/(100)  is the possibility of pulling a multiple of 5 that is blue 
 
Answer 2
Answer: a. The probability of picking a number less than 16 or a number in red is 65/100.
b. The probability of picking a number written in blue or a multiple of 5 is 70/100. 

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Simplify the expression

Answers

Answer:

The simplified form of given expression\frac{15xy}{5x^{(1)/(2)}y^2} is \frac{3x^{(1)/(2)}}{y}

Step-by-step explanation:

Given: Expression \frac{15xy}{5x^{(1)/(2)}y^2}

We have to write the given expression in simplified form,

Consider the given expression \frac{15xy}{5x^{(1)/(2)}y^2}

Divide the numbers (15)/(5)=3

we get,

=\frac{3xy}{y^2x^{(1)/(2)}}

Apply exponent rule , (x^a)/(x^b)\:=\:x^(a-b)

\frac{x}{x^{(1)/(2)}}=x^{1-(1)/(2)}=x^{(1)/(2)}

we get,

=\frac{3yx^{(1)/(2)}}{y^2}

Cancel y term, we have,

=\frac{3x^{(1)/(2)}}{y}

Thus, The simplified form of given expression\frac{15xy}{5x^{(1)/(2)}y^2} is \frac{3x^{(1)/(2)}}{y}

Answer:

3x^{(1)/(2)}y^(-1)

Step-by-step explanation:

The given expression is:

\frac{15xy}{5x^{(1)/(2)}y^2}

We have to simplify the above given expression.Thus,

Firstly, divide the constant terms, we get

(15)/(5)=3

Now, applying the exponent law, that is (x^a)/(x^b)=x^(a-b), we have

\frac{xy}{x^{(1)/(2)}y^2}=x^{1-(1)/(2)}y^(1-2)=x^{(1)/(2)}y^(-1)

Thus, the simplified form of the above given equation is:

3x^{(1)/(2)}y^(-1)

An earthquake with a rating of 4.4 can cause destruction in areas of up to 100 kilometers that are populated.what is the value of x when the richter scale rating is 4.4

Answers

100


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A spinner is separated into equal sections numbered 1 through 8. The spinner is spun, and 2 coins are flipped. Using the fundamental counting principle, how many total possible outcomes are there?

Answers

The fundamental counting principle states that the total number of outcomes for any compound event is found my multiplying the total number of possible outcomes for each event. The spinner has 8 possible outcomes which are the  integers from 1 to 8, each of the two coins has two possible outcomes, a head and a tail.

By the fundamental counting principle, there total number of outcome n is calculated as shown below,

n=8*2*2=8* 4=32.

There are 32 possible outcomes.

Answer:

Using the fundamental counting principle, the total possible outcomes are:

                                 32

Step-by-step explanation:

The spinner is spun, and 2 coins are flipped.

Now when a spinner is spin then total 8 outcomes are possible.

Since any of the 8 numbers could be obtained on the spin( 1 to 8)

and when a coin is flipped then there are only two possible outcome i.e.

either Head or Tail.

Hence, the total number of possible outcomes are:

                                8×2×2=32

( since the first possibility 8 is possible from spinner and the  '2' outcomes are possible from each of the flip of a coin  )

              Hence, the answer is:

                          32

[Please help ASAP!]The table shows music preferences. What type of music do you prefer?
What type of music do you prefer?
Pop Classical Rap Jazz Rock Row totals
Male student: 80 60 80 70 100 390
Female student: 200 150 20 70 50 490
Column totals: 280 210 100 140 150 880


Pop Classical Rap Jazz Rock Row totals

80 60 80 70 100 390 (Male student)

200 150 20 70 50 490 (Female student)

280 210 100 140 150 880 (Column totals)

Which of the following are possible positive associations or observations? (1 point)


1. Rock music is the most popular music for each category of students.

2. The largest difference in conditional relative frequency between males and females is for pop music.

3. The smallest difference in conditional relative frequency between males and females is for jazz music.

4. Male and female students have the same conditional relative frequency for rap music.

Answers

Answer:

The answer is 2.

The largest difference in conditional relative frequency between males and females is is for pop music.

Step-by-step explanation:

                   males     females      difference

Pop                 80          200                120     ←this shows that pop has the

Classical         60         90                  90               greatest difference

Rap                  80         20                  60

Jazz                 70         70                   0

Rock               100         50                 50

Total               390        490              100

Answer:

it is number 3  The smallest difference in conditional relative frequency between males and females is for jazz music.

Step-by-step explanation:

If the graph of the function g defined by g(x)=-2x^2+9. Is translated vertically downward by 8 units, it becomes the graph of a function f. Find the expression for f(x)

Answers

g ( x ) = - 2 x² + 9
If this function is translated vertically downward by 8 units it becomes:
f ( x ) = g ( x ) - 8
f ( x ) = - 2 x² + 9 - 8
Answer:
f ( x ) = - 2 x² + 1
  

If (7, m) is on a circle with center C(−2, 2) and radius 9, what is the value of m?

Answers

First thing I did was check the distance between the point and the center of the circle on the x-axis, because that was the information already given. Turns out that 7 - (-2) = 9, and so m is equal to the y-value of the center of the circle.

m = 2

Hope that helps!
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