1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
alexdok [17]
2 years ago
7

In a group of people, some are in favor of a tax increase on rich people to reduce the federal deficit and others are against it

. (Assume that there is no other outcome such as "no opinion" and "do not know.") Three persons are selected at random from this group and their opinions in favor or against raising such taxes are noted. How many total outcomes are possible?
Mathematics
1 answer:
jek_recluse [69]2 years ago
4 0

Answer:

There will be 8 possible outcomes.

Step-by-step explanation:

(Assume that there is no other outcome such as "no opinion" and "do not know.")

3 persons are selected at random from this group and their opinions in favor or against raising such taxes are noted.

So, the number of possible outcomes are = 2\times2\times2=8

YYY, YYN, YNY, NYY, YNN, NNY, NYN, NNN

Y = Yes and N = No

Therefore, there will be 8 possible outcomes.

You might be interested in
Ms. Carey grades 4 tests during her lunch. She grades 1/3 of the remainder after school. If she syill5has 16 test to grade after
enot [183]

Answer: 24 tests

Step-by-step explanation:

Ms. Carey graded 1/3 of the tests and still had 16 tests to go.

This means that the 16 tests represent the remaining proportion of the total number of tests:

= 1 - 1/3

= 2/3

2/3 of the total is equal to 16 tests. Assuming the total is x, the expression would be:

2/3x = 16

x = 16 ÷ 2/3

x = 16 * 3/2

x = 24 tests

3 0
3 years ago
Equation: w = 112 + 8t Which input results in an output of 176? What is the output in the ordered pair (4, 144)?
Grace [21]

9514 1404 393

Answer:

  • 8
  • 144

Step-by-step explanation:

Generally, the single variable on the left side of the equation is the "output" or dependent variable, while any other variables on the right side of the equation are considered to be independent variables, or "input."

So, we assume your first question is asking for the value of t that makes w=176. Put the values in the equation and solve for the unknown.

  w = 112 +8t

  176 = 112 + 8t

  64 = 8t . . . . . . . subtract 112

  8 = t . . . . . . . . . divide by 8

The input for an output of 176 is 8.

__

Ordered pairs are always written as ...

  (input, output)

So, (4, 144) means the output is 144 for an input of 4.

7 0
3 years ago
Read 2 more answers
With the number set: {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13}, what is the probability of choosing an even number?
lilavasa [31]

Answer:

=7

Step-by-step explanation:

sum of all no÷total no

=1+2+3+4+5+6+7+8+9+10+11+12+13 ÷ 13

=91 ÷ 13

=7

5 0
3 years ago
You plan to go skiing this weekend in Tennessee. The ski resort charges $18.50 per hour in addition to a $100 deposit to rent sk
Rina8888 [55]

Answer:

Part a) y=18.50x+100

Part b) The total cost is \$220.25

Part c) see the explanation

Step-by-step explanation:

Part a) Write a linear equation to represent this situation

Define the variables

Let

x ----> the number of hours

y ----> the total cost in dollars

we know that

The linear equation in slope intercept form is equal to

y=mx+b

where

m is the slope or the unit rate

b is the y-intercept or initial value (value of y when the value of x is equal to zero)

In this problem we have that

The unit rate or slope is equal to

m=\$18.50\ per\ hour

The y-intercept or initial value is equal to

b=\$100

substitute

y=18.50x+100

Part b) Use the equation to find the total cost to rent skis from 8:30 am to 3:00 pm

Remember that

3:00 pm=15:00

so

from 8:30 am to 3:00 pm, the total hours is equal to

15:00 -8:30=6:30=6.5 h

For x=6.5 h

substitute in the linear equation and solve for y

y=18.50(6.5)+100\\y=\$220.25

Part c) What does your answer mean in context of the problem?

we have that

y=220.25

That means -----> The total cost to rent skis for 6.5 hours is equal to $220.25

8 0
3 years ago
A circle is inscribed in a square with a side length of 144. If a point in the square is chosen at random, what is the probabili
____ [38]

Given :

A circle is inscribed in a square with a side length of 144.

So, radius of circle, r = 144/2 = 72 units.

To Find :

The probability that the point is inside the circle.

Solution :

Area of circle,

A_c = \pi r^2\\\\A_c = 3.14 \times 72^2\ units^2\\\\A_c = 16277.76 \ units^2

Area of square,

A_s = (2r)^2\\\\A_s = ( 2 \times 72)^2\ units^2\\\\A_s = 20736\ units^2

Now, probability is given by :

P = \dfrac{A_c}{A_s}\\\\P = \dfrac{16277.76}{20736}\\\\P = 0.785

Therefore, the probability that the point is inside the circle is 0.785 .

4 0
2 years ago
Other questions:
  • Given the points J(4,-7) and L(-2, 13) find the coordinates of point K on line JL such that the ratio of JK to JL 1:4
    10·1 answer
  • Triangle ABC was transformed to be triangle DBP using one
    14·1 answer
  • Describe the error in the work shown below.
    7·2 answers
  • es is making 141414 jars of honey peanut butter. He wants to use 454545 milliliters (\text{mL})(mL)left parenthesis, start text,
    7·1 answer
  • What is the quotient of 5/7÷7/10​
    6·2 answers
  • A bag contains purple marbles and white marbles, 34 in total. The number of purple marbles is 1 less than 4 times the number of
    8·1 answer
  • Y=9x
    5·1 answer
  • A trainer takes a survey of all the athletes in a school about their height, rounded to the nearest inch, and their grade level.
    15·1 answer
  • This is a visual display of some to the descriptive statistics of a data set. It quickly displays the 5-number summary: the mini
    5·1 answer
  • A muffin recipe calls for 2 eggs to make 12 muffins.
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!