A bag contains six balls labeled 1 through 6. One ball will be randomly picked.
What is the probability of picking an odd number?
Write your answer as a fraction in simplest form.

Answers

Answer 1

S = sample space = set of all possible outcomes

S = set of whole numbers 1 through 6

S = {1,2,3,4,5,6}

E = event space = set of outcomes we want to happen

E = set of odd numbers between 1 through 6

E = {1,3,5}

We have 3 items in set E and 6 items in set S. So there are 3 ways to get what we want to happen out of 6 ways total. The probability is therefore 3/6 = 1/2

Answer: 1/2

Related Questions

Find the lateral area of the prism.

Answers

Answer:

576"

Step-by-step explanation:

AL=ph

AL= (4*12)12

AL= 48*12

AL=576"

Name x1, x2, y1 and y2. Then, find the distance between the points.

Answers

Answer:

(5,6), (-2,8)

Step-by-step explanation:

I have a good math expertise. Don't question my skills as they are correct. woof woof waffling behavior. Thnak you hr welcne

Which fraction is equal to 60%?
2 of
100
600
60
100
100
60
6.0
100

Answers

Answer:

Step-by-step explanation:

[tex]60\% =\\\\\frac{60}{100} \\=0.6[/tex]

Answer:

3/5

Step-by-step explanation:

60% as a fraction is 3/5 :)

[tex]x+7-4(x+1)=-10[/tex]

Answers

━━━━━━━☆☆━━━━━━━

▹ Answer

x = 13/3, 4 1/3, or 4.3

▹ Step-by-Step Explanation

x + 7 - 4(x + 1) = -10

x + 7 - 4x - 4 = -10

-3x + 7 - 4 = -10

-3x + 3 = -10

-3x = -10 - 3

-3x = -13

x = 13/3, 4 1/3, or 4.3

Hope this helps!

CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

Answer:

x = 13/3

Step-by-step explanation:

x + 7 - 4(x + 1) = -10

x + 7 - 4x - 4 = -10

-3x + 3 = -10

-3x = -13

x = -13/(-3)

x = 13/3

what is a supplementary angle of 750​

Answers

Answer:

105°

Step-by-step explanation:

Supplementary angle of 75° = 180° - 75° = 105°

Answer:

105°

Step-by-step explanation:

angle given is 75°

= 180° - 75°

= 105°

Use a calculator to determine the pattern of attractors for the equation y =kx(1-x) for the given value of k and the given initial value of x
K=3.26, x=0.8

Guys, I need help quickly?

Answers

Answer:

0.5216

Step-by-step explanation:

Given the function  y =kx(1-x), the pattern of attractors are the value(s) of y at the initial value of k and x. Given the value of k = 3.26 and x = 0.8, to get the pattern of attractors, we will substitute the given initial value into the function as shown;

[tex]y =kx(1-x)\\\\y = 3.26(0.8)(1-0.8)\\\\y = 3.26*0.8*0.2\\\\y = 0.5216\\\\[/tex]

Hence, the pattern of attractor for the equation y is 0.5216

100 POINTS!!! NEED HELP ASAP The question is the first picture and the second question is the answers to choose. Thank you!

Answers

Answer:

4, 3, 5, 8, 7, 6, 1, 2

Step-by-step explanation:

Let’s label the options with numbers.

Solve the percentages:

1) 442/(442+267) = 62.4%

2) 701/(701+187) = 78.9%

3) 267/(267+442)= 37.7%

4) 187/(187+701) = 21.1%

5) 442/(442+701) = 39.4%

6) 701/(442+701) = 61.3%

7) 267/(187+267) = 58.8%

8) 187/(187+267) = 41.2%

Arrange from least to greatest.

4, 3, 5, 8, 7, 6, 1, 2

7 times the difference between m and 8​

Answers

Answer:

7(m-8)

Step-by-step explanation:

We are given: 7 times the difference between m and 8

We want to write an expression. Let’s begin with “the difference between m and 8”.

Difference means subtraction. Therefore, we must subtract m and 8.

(m-8)

Now, let’s add on “7 times”

Times means multiply. Therefore, we must multiply 7 and the expression we just wrote.

7(m-8)

Therefore, 7 times the difference between m and 8 can be written as: 7(m-8)

Answer:

7(m-8)

Step-by-step explanation

7 times the difference between m and 8​ = 7*(m-8)

First, we know that difference, in a mathematical term, means subtraction, and “times” Means multiplication.

But, since it says,” difference between m and 8”, we must put those in parentheses, so we know that it is m-8, not 7*m.

so, therefore you have 7*(m-8), or 7(m-8)

A coin is tossed and an eight​-sided die numbered 1 through 8 is rolled. Find the probability of tossing a head and then rolling a number greater than 2. The probability of tossing a head and then rolling a number greater than 2 is nothing. ​(Round to three decimal places as​ needed.)

Answers

Answer:

7 out of 8

Step-by-step explanation:

heads gets tossed and there's only 6 numbers to choose from on the die

Answer:    =0.375

Step-by-step explanation:

Actually we have to find the probability that both events will happened.

1st event the coin will be turned by a head P(head).

2nd event the number is greater than 2 , i.e. can be 3,4,5,6,7 or 8 P(a>2)

Both events  do not depend from each other. So the resulted probability

can be calculated multuplying probabilities P(head) and P(a>2) on each other. P(head, a>2)= P(head)*P(a>2)

P(head) =1/2=0.5 so the coin has 2 sides only one of them is head.

P(a>2)=6/8 so rolling the eight -sided doe 8 outcomes are possible and six of them 3,4,5,6,7 or 8 can give us the number that is bigger than 2.

P(a>2)=6/8=3/4=0.75

P(head, a>2)= P(head)*P(a>2)=0.5*0.75=0.375 ( rounding is not necessary, so we get exactle 3 digits after the point)

Which set of ordered pairs represents a function? {(0,1), (1,3), (1,5) (2,8)}, {(0,0), (1,2), (2,6), (2,8)}, {(0,0), (0,2), (2,0), (2,4)}, {(0,2), (1,4), (2,6), (3,6)}

Answers

Answer:

The last set.

Step-by-step explanation:

The first 3 sets  contain  'one-to-many' relations , for example (1, 3) and (1, 5) in set 1 and (0, 0) and (0, 2) in set  3 , so they are not functions.

The last set does not have any of these and is a function.

7.
The area of this parallelogram is 120 ft. Find the value of h.
1
20 ft
12 ft
3 ft
15 ft
6 ft

Answers

6ft

the area = base x height
120ft = 20ft x height
height = 120/20 = 6ft

Answer:

h = 6 ft.

Step-by-step explanation:

area = base x height

where base = 20 ft.

        height = ?

           area = 120 ft²

plugin values into the formula

120 = 20 x height

height = 120  

               20

height = 6 ft.

I need to know if the following questions are true or false

Answers

Answer:

False

Step-by-step explanation:

To find <A, we can do 5x - 80 = 3x + 20.

As we simplify, we will get 2x = 100, which is x = 50

Therefore, <A will be 50 degrees and not 45 degrees.

Also, if you need y, you can do:

3y - 7 = y + 7

2y = 14

y = 7

Use the functions m(x) = 4x + 5 and n(x) = 8x − 5 to complete the function operations listed below. Part A: Find (m + n)(x). Show your work. (3 points) Part B: Find (m ⋅ n)(x). Show your work. (3 points) Part C: Find m[n(x)]. Show your work. (4 points)

Answers

Answer:

Step-by-step explanation:

Part A

(m + n)x = 4x + 5 + 8x - 5

(m + n)x = 12x   The fives cancel

Part B

(m - n)x = 4x + 5 - 8x + 5

(m - n)x = -4x + 10

Part C

The trick here is to put n(x) into m(x) wherever m(x) has an x.

m[n(x)] = 5(n(x)) + 5

m[n(x)] = 5(8x - 5) + 5

m[n(x)] = 40x - 20 + 5

m[n(x)] = 40x - 15

Type the correct answer in each box. Use numerals instead of words. Jim is assessing the popularity of his high school football team's website for the first 5 weeks after the season ends. The average number of visits on the website for 5 weeks is given in the table below. Number of Weeks Avg. Number of Visits 0 48,000 1 24,000 2 12,000 3 6,000 4 3,000 5 1,500 The initial number of visits to the website was . The percent decrease from 4th week to 5th week was %. The minimum number of visits on the website in the first 5 weeks since Jim began his assessment was

Answers

Answer:

48,00050%1500

Step-by-step explanation:

The table is easier to read if formatted more like a table:

Number of Weeks Avg. Number of Visits

  0 48,000

  1 24,000

  2 12,000

  3 6,000

  4 3,000

  5 1,500

__

The initial number of visits to the website was 48,000. -- the value for week 0.

The percent decrease from 4th week to 5th week was 50%. ((new/old) -1)·100% = (1500/3000 -1)·100% = -50%

The minimum number of visits on the website in the first 5 weeks since Jim began his assessment was 1,500. (the number in the 5th week)

The graph of a linear equation g(x)=-1/3x +2 can be obtained from the graph f(x)=1/3x by using infinite sets of elementary translation (i.e reflection and shifting). List out five of those sets

Answers

Answer:

{Rx, T(-6, 4)}{Rx, T(-3, 3)}{Rx, T(0, 2)}{Rx, T(3, 1)}{Rx, T(9, -1)}

Step-by-step explanation:

We assume you are not interested in five infinite sets of translations. Rather, we assume you want to pick 5 translations from the infinite set of possibilities.

The attached graph shows f(x), g(x), and 5 lines (dashed or dotted) that represent possible reflections and shifts of the function f(x).

The function f1 represents a reflection of f(x) about the x-axis, followed by a left-shift of 6 units. To make it match g(x), we need to shift it upward 4 units. Then the set if translations is ...

  g(x) = f(x) ... {reflected over the x-axis, shifted left 6, shifted up 4}

Along the same lines, other possibilities are ...

  g(x) = f(x) ... {reflected over the x-axis, shifted left 3, shifted up 3}

  g(x) = f(x) ... {reflected over the x-axis, shifted left 0, shifted up 2}

  g(x) = f(x) ... {reflected over the x-axis, shifted right 3, shifted up 1}

  g(x) = f(x) ... {reflected over the x-axis, shifted right 9, shifted down 1}

___

Additional comment

All of the transformations listed above use reflection in the x-axis. Reflection could use the y-axis, as well. Reflection of the basic function f(x) in the y-axis will have the identical effect as reflection in the x-axis. The listed translations would apply unchanged.

Find the area between the graph of f of x equals the product of x squared and e raised to negative 1 times x cubed power and the x-axis for the interval (0, ∞). Your work must include the proper notation and show the antiderivative. If the integral diverges, show why.

Answers

If [tex]f(x)=x^2e^{-x^3}[/tex], then the area between the graph of [tex]f(x)[/tex] and the x-axis for non-negative x is given by the integral,

[tex]\displaystyle\int_0^\infty x^2e^{-x^3}\,\mathrm dx[/tex]

Let [tex]u=-x^3[/tex] and [tex]\mathrm du=-3x^2\,\mathrm dx[/tex]; then the integral is equivalent to

[tex]\displaystyle-\frac13\int_0^{-\infty}e^u\,\mathrm du=\frac13\int_{-\infty}^0e^u\,\mathrm du=\frac13\left(1-\lim_{u\to-\infty}e^u\right)=\boxed{\frac13}[/tex]

How large a sample must be drawn to estimate population proportion confidence interval width to within .04, with 95% confidence, if we believe the true percentage is 80%

Answers

Answer:

Sample size 'n' = 384

Step-by-step explanation:

Explanation:-

Given margin of error = 0.04

The sample proportion 'p'= 0.80

The margin of error is determined by

                               [tex]M.E = \frac{Z_{\alpha } \sqrt{p(1-p)} }{\sqrt{n} }[/tex]

                             [tex]0.04 = \frac{1.96 \sqrt{0.80(1-0.80)} }{\sqrt{n} }[/tex]

Cross multiplication, we get

                             [tex]\sqrt{n} = \frac{1.96 \sqrt{0.80(1-0.80)} }{0.04 }[/tex]

                             √n = 19.6

Squaring on both sides , we get

                            n = 384.16≅384

I need an answer for the attachment below:

Answers

Answer:

[tex] - \frac{ 1}{4} [/tex]

Step-by-step explanation:

The line passes through points ( - 1 , 2 ) and ( 3 , 1 )

Let there points be A and B

A ( -1 , 2 ) -----> ( x1 , y1 )

B ( 3 , 1 ) -------> ( x2 , y2 )

Now, Let's find the gradient ( slope)

[tex] \frac{y2 - y1}{x2 - x1} [/tex]

plug the values

[tex] = \frac{1 - 2}{3 - ( - 1)} [/tex]

Calculate the difference

[tex] = \frac{ - 1}{3 - ( - 1)} [/tex]

When there is a (-) in front of an expression in parentheses, change the sign of each term in the expression

[tex] = \frac{ - 1}{3 + 1} [/tex]

Add the numbers

[tex] = \frac{ - 1}{4} [/tex]

Use [tex] \frac{ - a}{b} = \frac{a}{ - b} = - \frac{a}{b} [/tex] , to rewrite the fraction

[tex] = - \frac{1}{4} [/tex]

Hope this helps...

Best regards!!

Question 2 of 9
Enter the correct answer in the box.
What is the factored form of this expression?
x2 + 6x - 16
Substitute numerical values into the expression for p and q.
(x + p) (x +9)

Answers

Answer:

x^2 + 6x - 16

=x^2 + ( 8-2 )x -16

=x^2 + 8x - 2x -16

= X(X+8) -2(X+8). ( Taking common from term 1 and 2 and then from 3 and 4)

= ( X+8 ) ( x-2 ) ( Taking common from term 1 and 2).

so, this is the factored form of the expression x^2 + 6x - 16.

Answer:

1.(x-2)(x+8)

Step-by-step explanation:

1.x2+8x-2x-16

=×(x+8)-2(x+8)

=(x-2)(x+8)

A random sample of 51 adult coyotes in a region of northern Minnesota showed the average age to be x = 2.03 years, with sample standard deviation s = 0.82 years. However, it is thought that the overall population mean age of coyotes is μ = 1.75. Do the sample data indicate that coyotes in this region of northern Minnesota tend to live longer than the average of 1.75 years? Use α = 0.01.

Answers

Answer:

Yes the sample data   indicate that coyotes in this region of northern Minnesota tend to live longer than the average of 1.75 years

Step-by-step explanation:

From the question we are told that

   The sample size is  [tex]n = 51[/tex]

    The sample mean is  [tex]\= x = 2.03[/tex]

    The sample standard deviation is  [tex]\sigma = 0.82[/tex]

    The population mean is  [tex]\mu = 1.75[/tex]

    The level of significance is  [tex]\alpha = 0.01[/tex]

The null hypothesis  is  

      [tex]H_o : \mu = 0.82[/tex]

The alternative hypothesis is

     [tex]H_a : \mu >1.75[/tex]

The critical value of the the level significance [tex]\alpha[/tex] obtained from the critical value table for z-value is [tex]z_\alpha = 2.33[/tex]

 Now the test statistic is mathematically evaluated as

          [tex]t = \frac{\= x - \mu }{\frac{\sigma }{\sqrt{n} } }[/tex]

substituting values  

           [tex]t = \frac{ 2.03 - 1.75 }{\frac{0.82}{\sqrt{51} } }[/tex]

           [tex]t = 2.44[/tex]

From that calculated and obtained value we see that the critical value of the level of significance is less than the test statistics so we  reject the null hypothesis

Hence there sufficient evidence to proof that the sample data indicates that coyotes in this region of northern Minnesota tend to live longer than the average of 1.75 years

         

     

m−4+m−5 how do I solve this ?

Answers

Answer:

2m - 9

Step-by-step explanation:

To simplify this, we need to combine like terms. m + m = 2m and -4 - 5 = -9 so the simplified version would be 2m - 9.

find the value of a, b, c, and d,

type exact answers and use radicals as needed

Answers

Step-by-step explanation:

Using trigonometrical functions we can obtain the required side lengths.

[tex] \sin 45\degree = \frac{a}{16\sqrt 2}\\\\

\therefore \frac{1}{\sqrt 2}= \frac{a}{16\sqrt 2}\\\\

\therefore a = \frac{16\sqrt 2}{\sqrt 2}\\\\

\huge\red {\boxed {\therefore a = 16}} \\\\

\cos 45\degree = \frac{c}{16\sqrt 2}\\\\

\therefore \frac{1}{\sqrt 2}= \frac{c}{16\sqrt 2}\\\\

\therefore c = \frac{16\sqrt 2}{\sqrt 2}\\\\

\huge\purple {\boxed {\therefore c = 16}} \\\\

\sin 30\degree = \frac{a}{b}\\\\

\therefore \frac{1}{2}= \frac{16}{b}\\\\

\therefore b = {16\times2}\\\\

\huge\orange{\boxed {\therefore b = 32}} \\\\

\tan 30\degree = \frac{a}{d}\\\\

\therefore \frac{1}{\sqrt 3}= \frac{16}{d}\\\\

\therefore d = {16\times\sqrt 3}\\\\

\huge\pink {\boxed {\therefore d = 16\sqrt 3}} \\\\

[/tex]

Construct a 99% confidence interval of the population proportion at the given level of confidence. x=240​, n=300 the lower bound is? the upper bound is?

Answers

Answer: lower bound = 0.7404; upper bound = 0.8596

Step-by-step explanation:

The proportion p for this population:

p = [tex]\frac{240}{300}[/tex]

p = 0.8

Confidence interval for proportion is calculated as:

p ± z-score.[tex]\sqrt{\frac{p(1-p)}{n} }[/tex]

Z-score for a 99% confidence interval is: z = 2.58

Calculating:

0.8 ± 2.58.[tex]\sqrt{\frac{0.8(0.2)}{300} }[/tex]

0.8 ± 2.58.[tex]\sqrt{0.00053}[/tex]

0.8 ± 2.58(0.0231)

0.8 ± 0.0596

This means that the lower limit of this interval is 0.7404 and upper bound is 0.8596

Bus drivers Andy, Benedict and Chris each return to Bus Terminal 1 every 50, 80, and 100 minutes respectively. If they leave the bus terminal at 0830 h, when will they next meet at the bus terminal ?​

Answers

Answer:

1510 h, or 3:10 PM.

Step-by-step explanation:

The next time they meet at the bus terminal will be a multiple of 50, 80, and 100.

A common factor among the three numbers is 10. If we divide all three by 10, we will get 5, 8, and 10. 5 is a factor of 10, so as long as 5 is multiplied by an even number, 10 will be a multiple.

Since the number will have to be divisible by both 5 and 8, the smallest possible number would be 5 * 8 = 40. So, the next time they meet at the bus terminal will be 40 * 10 = 400 minutes after 8:30.

400 minutes in hours is 400 / 60 = 40 / 6 = 20 / 3 = 6 hours and 2/3.

2/3 of an hour in minutes is (2/3) * 60 = 2 * 20 = 40.

So, they will meet again in 6 hours and 40 minutes.

8:30 plus 6 hours and 40 minutes is 14:70. 70 minutes translates into an hour and 10 minutes. So, the time will be 15:10, or 3:10 PM.

Hope this helps!

evaluate the function to find three points f(0)=

Answers

Answer:

f(0) = 0

Step-by-step explanation:

f(x) = -sqrt(x)

Let x= 0

f(0) = -sqrt(0)

f(0) = 0

Value of the given function [tex]f(x) = -\sqrt{x}[/tex] for [tex]f(0) = 0.[/tex]

What is function?

" A function is defined as the relation between the given variable represents set of all input value should have one output each."

According to the question,

Given function,

[tex]f(x) = -\sqrt{x}[/tex]

Substitute the different values for 'x' for the given function we get,

[tex]x=1 , f(1) = -\sqrt{1}[/tex]

                 [tex]=-1[/tex]

[tex]x=4 , f(4) = -\sqrt{4}[/tex]

                 [tex]=-2[/tex]

[tex]x=0, f(0) = -\sqrt{0}[/tex]

                 [tex]=0[/tex]

Therefore, given relation is a function.

Hence, value of the given function [tex]f(x) = -\sqrt{x}[/tex] for [tex]f(0) = 0.[/tex]

Learn more about function here

https://brainly.com/question/12431044

#SPJ2

A cash register has $10 and $50 dollars bills with total of $1080.there are 28 bills in total how many of each bills.

Answers

Hey there! I'm happy to help!

Let's set this up as a system of equations, where x is equal to the number of 10 dollar bills and y is equal to the number of 50 dollar bills.

10x+50y=1080

x+y=28

We want to solve for x or y. We can rearrange the second equation to find the value of one of the variables.

x+y=28

Subtract x from both sides.

y=28-x

Now, we have a value for y. So, we could replace the y in the first equation with 28-x and the solve for x.

10x+50(28-x)=1080

We use distributive property to undo the parentheses.

10x+1400-50x=1080

We combine like terms.

-40x+1400=1080

We subtract 1400 from both sides.

-40x=-320

We divide both sides by -40.

x=8

Since there are 28 total bills, this means that there must be 20 50 dollar ones because there are 8 10 dollar bills.

Have a wonderful day! :D

What is the best first step in solving -4x + 5/3 > 5/10

Answers

Answer:

Step-by-step explanation:

The best first step to solve this is to just subtract 5/3 from both sides so it is easier to simplify.

Answer:

Subtract 5/3 to the other side

Step-by-step explanation:

Hey there!

Well the best first step is to -5/3 to both sides and move it to the right side.

-4x + 5/3 > 5/10

-5/3 to both sides

-4x > -7/6

Hope this helps :)

from the top of a building 10m high the angle of depression of a stone lying on the horizontal ground is 60° . calculate the distance of the stone from the foot of the building​

Answers

Answer:

14.29cm

Step-by-step explanation:

Height of the building=10cm

Angle of depression=60°

We are therefore asked to find the distance from the stone to the

the foot of the building;Therefore we use Tan ratio which is opp/adj;

Let the distance from the stone to the foot of the building be x;

10/x=Tan60°

10/x=1.7/1

We then cross multiply to get 1.7x=10

x=10/1.7

=10*10/1.7*10

=100/17

=14.29cm.

A party rental company has chairs and tables for rent. The total cost to rent 2 chairs and 3 tables is$31 . The total cost to rent 6 chairs and 5 tables is $59 . What is the cost to rent each chair and each table?

Answers

Answer:

The cost to rent each chair is $2.75 and the cost to rent each table is $8.50

Step-by-step explanation:

Let the:

Cost to rent a chair = x

Cost to rent a table = y

We would form an algebraic equation.

The total cost to rent 2 chairs and 3 tables is $31

2x + 3y = 31 ...... Equation 1

The total cost to rent 6 chairs and 5 tables is $59

6x + 5y = 59 ......... Equation 2

We solve the above equation above using elimination method

Multiply Equation 1 all through by the coefficient of x = 6 in Equation 2

Multiply Equation 2 all through by the coefficient of x = 2 in Equation 1

Hence, we have:

2x + 3y = 31 ...... Equation 1 × 6

6x + 5y = 59 ......... Equation 2 × 2

12x + 18y = 186........ Equation 3

12x + 10y = 118 .…...... Equation 4

Subtracting Equation 4 from Equation 3

= 8y = 68

y = 68/8

y = 8.5

Therefore, the cost to rent a table = $8.50

Substituting 8.5 for y in Equation 1 to get the value of x

2x + 3y = 31 ...... Equation 1

2x + 3(8.5) = 31

2x = 31 - 3(8.5)

2x = 31 - 25.5

2x = 5.5

x = 5.5/2

x = 2.75

The cost to rent a chair = $2.75

Therefore, the cost to rent each chair is $2.75 and the cost to rent each table is $8.50

An 8 foot square floor is to be covered with square tiles measuring 8 inches on each side. If each tile
costs 50 cents, how much will it cost to tile the floor?
A. $32
B. $64
C. $72
D. $96

Please explain how to get the answer

Answers

Answer:

72

Step-by-step explanation:

There are 12 inches in a foot.

Therefore in 8 feet there are 96 inches

Therefore the square floor is 96 * 96.

Therefore the area of the square floor is 9216 inches squared.

Each tile is 8 inches by 8 inches meaning it has an area of 64 inches squared.

9216 / 64 = 144.

Therefore 144 tiles are needed to tile the floor

Since each tile is 50 cents, 144 * 0.5 = 72

Therefore it costs 72 dollars to tile the floor.

Other Questions
The measure of position called the midquartile of a data set is found using the formula StartFraction Upper Q 1 plus Upper Q 3 Over 2 EndFraction . Find the midquartile of the given data set. 23 37 49 34 35 41 40 26 32 22 38 42 Dr. MacPherson believes that the way students organize and think about the information in their textbooks will strongly influence their ability to later remember and use what they have studied. Dr. MacPherson's ideas most directly exemplify the ________ perspective. (2-i)(-3+i) a.-7+5i b. 6 - i c. 5 - 5i d. -5 + 5i Please select the best answer from the choices provided A B C D I dont have a graphing calculator, please help! Katrina owns a dance studio and offers four classes a day for $28.00 each, with 10 people maximum per class. If she decides to offer a 25% discount on the two morning classes offered one day, and all four classes reach the maximum number of people attending, how much money will Katrina make that day? A small fruit basket with 6 apples and 6 oranges costs $7.50. A different fruit basket with 10 apples and 5 oranges costs $8.75. If x is the cost of one apple and y is the cost of one orange, the system of equations below can be used to determine the cost of one apple and one orange. 6x+6y=7.50 10x+5y=8.75 What is the cost of one apple? write a letter to your local government chairman telling him telling him the poor transport system in your community "King Philip" or Metacom Group of answer choices fought alongside of George Washington at the Battle of Fort Necessity was Powhatan's main river for control of the Chesapeake led a revolt against Puritans in New England in the late 1600s was an early convert to Christianity and a firm friend of the Puritans A biology class wanted to study the effect of different materials on the melting rate of ice. They placed pieces of ice, each with a mass of 10g, onto trays. Group 1 was covered in plastic, group 2 was covered in paper, group 3 was covered in aluminum, and group 4 remained uncovered. Each piece of ice was allowed to melt for 15 minutes. Then final mass of the ice, minus the melted water, was recorded at the end of the experiment. What is the dependent variable in this experiment? You have a standard number cube. What is the probability of rolling a number less than 3, and then rolling a prime number? A. 1/3 B. 1/2 C. 1/36 D. 1/6 .......................... What is the average of 3/8 + 2/4 + 5/8 + 7/8 + 1 1/8 + 1 5/8 + 1 7/8 + 4 The polynomial function F(x)= 2x^2 +4 has a critical point at which of thefollowing x-values? A. X=0B. X=4C. X=2D. X=-2 Hey loves!!! Can any of you lovely people help me with this question? 6th grade math , help me please :) Please HelpShow Work Consider the following equation. x^2 - 4 x - 1 = 0 To complete the square, first rewrite the equation as x^2 - 4 x = 1. What value would then be added to both sides of the equation to complete the square? (Enter an exact number.) Given that Arccos (3/2)=, what are all the angle measurements for right triangle ABC? Dylan open a credit card account with $725 of available credit now that he has made some purchases Dillons account has only $442.25 of available credit what is the percentage decrease of the amount of available credit and Dillons account? An exterior angle of a triangle is equal to the sum of________ opposite angle