Grace and Jack are playing a game with a gigantic bucket of markers. Jack took a random sample of markers from the bucket and counted 12 yellow markers, 37 blue markers, and 1 red marker. Use the observed frequencies to create a probability model for the color of the next randomly selected marker from the gigantic bucket of markers. Input your answers as fractions or as decimals rounded to the nearest hundredth.

In the given diagram, the value of JI is 6

From the question, we are to determine JI

From the given diagram, we can write that

JI + IH = x + 22

Also,

JI = 2x + 28

and

IH = 5

Then, we can write that

2x + 28 + 5 = x + 22

Collect like terms

2x - x = 22 -28 -5

x = -11

Now, substitute the value of x into the equation

JI = 2x + 28

JI = 2(-11) + 28

JI = -22 +28

JI = 6

Hence, the value of JI is 6

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The 90 percent confidence interval for the data is given as  396.02, 727.98

The formula is fx/n

= Mean, μ = 562.2

sum up the data and divide by 5

sd =  

Σ(xi - μ)2/N

= (361 - 562.2)² + ... + (631 - 562.2)²/5

= 151806.8/5

= 30361.36

sd = √30361.36

= 174.24511470914

1 - confidence level

= 1 - 0.90

= 0.1

df = 4

Using excel

T.INV.2T(0.1, 4) = ±2.13

562 +- 2.13 x  174.245/√5

562- 165.98, 562+ 165.98

= 396.02, 727.98

Hence the confidence interval can be calculated to be 396.02, 727.98

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Answer:

4/5

Step-by-step explanation:

SImply use slope formula. We see the graph has defined points at (5, 4), and (-5, -4).

m=(Y2-Y1)/(X2-X1)

(4-(-4))/(5-(-5))=8/10

Simplify 8/10

=4/5

The value of [tex]b_{1}[/tex] is 69/4h and value of [tex]b_{2}[/tex] is 43/4h if the area of trapezoid is 14 square units.

Given that area is equal to 1-2([tex]b_{1} -b_{2}[/tex])h and area is 14 square units.

We know that area of trapezoid is equal to (a+b)h/2.

We have to put the given equation equal to 14 to get our first equation.

14=1-2([tex]b_{1} -b_{2}[/tex])h

14=1-2[tex]b_{1}[/tex]h+2[tex]b_{2}[/tex]h

2[tex]b_{1}[/tex]h-2[tex]b_{2}[/tex]h=-13------------1

Now put the value of area in the formula of area of trapezoid.

14=[tex](b_{1} +b_{2})h/2[/tex]

[tex]b_{1}[/tex]h+[tex]b_{2}h[/tex]=28-----------------2

Multiply equation 2 by 2 and then subtract 2 from 1

[tex]2b_{1}h -2b_{2}h -2b_{1}h-2b_{2}h[/tex]=-13-56

-4[tex]b_{2}h[/tex]=-43

[tex]b_{2}[/tex]=43/4h

Put the value of [tex]b_{2}[/tex] in 2 to get the value of [tex]b_{1}[/tex].

[tex]b_{1} h+43/4h*h=28[/tex]

[tex]b_{1}[/tex]=69/4h

Hence The value of [tex]b_{1}[/tex] is 69/4h and value of [tex]b_{2}[/tex] is 51/4h if the area of trapezoid is 14 square units.

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The average number of hours worked per week drop from 2009 to 2010 dropped by 1.16%

The average work weeks are given as:

Year 2009 = 43 hours

Year 2010 = 42 hours 30 minutes

Rewrite as:

Year 2010 = 42.5 hours

The percentage change is then calculated as:

Percentage change= (Final - Initial)/Initial * 100%

So, we have:

Percentage change= (42.5 - 43)/43* 100%

Evaluate

Percentage change= -1.16%

Hence, the average number of hours worked per week drop from 2009 to 2010 dropped by 1.16%

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Step-by-step explanation:

THERE WILL BE

6+4+3+7= 23

Answer:

[tex]\fbox {Required equation : 4(x + 3) = 20}[/tex]

[tex]\fbox {Result : x = 2}[/tex]

Step-by-step explanation:

Let our number be x.

1) 3 is added to this number.

2) It is multiplied by 4.

3) It is equated to 20.

∴ This is our framed equation.

Steps to solve :

1) Divide by 4 on both sides.

2) Subtract 3 on both sides.

∴ The number is 2.

75 percent of the stock are sleeveless

The given parameters are:

Blouse = 120

Sleeveless = 90

The percentage is calculated as:

Percentage = Sleeveless/Blouse * 100%

So, we have:

Percentage = 90/120* 100%

Evaluate the expression

Percentage = 75%

Hence, 75 percent of the stock are sleeveless

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Answer: 23 inches by 7 inches

Step-by-step explanation:

161 = 7 x 23 (or 1 x 161 but that doesn't help...)

And to check:

7 x 3 + 2 = 23

Answer:

23inches by 7inches

Step-by-step explanation:

7 ×3+2=23

Answer: The base graph vertically stretched by a factor of 6.

Step-by-step explanation:

See attached image.

The amount after 1 year is $7280 and the amount after two year is $8153.

Given that $6500 is placed in an account that pays 12% interest compounded each year.

Compounding is the addition of interest to the principal of a loan or deposit, or in other words, interest on principal plus interest.

Compounded interest=12%

Principal amount=$6500

Time period = 1 year

[tex]A=P\left(1+\frac{r}{n}\right)^{nt}[/tex]

where P is Principle amount, r is annual interest, n is number of times the interest compounded monthly, t is number of years

Here P=6500, r=12%, n=1, t=1

Substitute these values in the formula, we get

A=6500(1+(0.12/1))¹⁽¹⁾

A=6500(1+0.12)¹

A=6500×1.12

A=7280

Now we have to calculate for two years.

That is if n=2 , then

A=6500(1+(0.12/1))¹⁽²⁾

A=6500(1+0.12)

A=6500×1.2544

A=8153.6

Hence, the amount for one year and two year when $6500 is placed in an account that pays 12% interest compounded is $7280 and $8153.60.

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Answer:

89.4 - 13.621 = 75.779

Explanation:

Subtract 13.621 from 89.4 to get 75.779.

Answer:

Step-by-step explanation:

hello here is an solution

Answer:

The Sequence

Step-by-step explanation:

the Sequence is a decrease by 2 and a increase of 4. So subtract 2 by 10 to get 8 then add 4 to get 12 and so on.

Answer:

x = 7.43

Step-by-step explanation:

X - 2.13 = 5.3

add -2.13 to both sides

x -2.13+2.13 = 5.3 + 2.13

-2.13 + 2.13 cancel out and 5.3 +2.13 equals 7.43

therefore x =7.43

check your work by substituting 7.43 for x

7.43 - 2.13 = 5.3

Abiding by the two rules, the number of variable names we can have in Python are; 63

The rules for python are given as;

1) Variable names in Python can be any length and can consist of uppercase and lowercase letters ( A-Z, a-z ), digits ( 0-9 ), and the underscore character ( _ ).

1b) An additional restriction is that, although a variable name can contain digits, the first character of a variable name cannot be a digit.

2) We limit each line to 79 characters, so, to be extra careful, we will assume variables can be of at most 7 characters in length.

Now, abiding by the two rules above, the number of variable names we can have in Python are;

26( A-Z) + 26(a-z) + 10(0-9) + 1 ( _ ) = 63 variable names

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The amount of time between interest payments is know as period.

Period is the time between when interests are paid. Period can vary depending on the terms of the investment. Periods can be yearly, quarterly, semi-annually, biweekly or weekly.

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The two statements that are true for g(x ) are:

g(x) = [tex]4^{x}[/tex] - 1

g(x) is translated both vertically and horizontally.

A function is a relation showing the relationship between two or more variables.

A function produces a unique output when a unique input is given to it. The input is called the domain and the output is called the Range.

Analysis:

If we use the values of x as 0,1,2,3

for x = 0

g(0) = [tex]4^{0}[/tex] -1  = 1 -1 = 0

for x = 1

g(1) = [tex]4^{1}[/tex] -1  = 4 - 1 = 3

for x = 2

g(2) = [tex]4^{2}[/tex] - 1 = 16 - 1 = 15

for x = 3

g(3) = [tex]4^{3}[/tex] - 1 = 64 - 1 = 63

Therefore g(x) = [tex]4^{x}[/tex] - 1

Also since the values of g(x) changes along the y - axis and x-axis also changes, therefore, g(x) is translated along both axes.

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The multiplication of the expression (x² + 3x + 2) (2x² + 3x + 1) is 2x⁴ + 9x³ + 14x² + 9x + 2

(x² + 3x + 2) (2x² + 3x + 1)

= 2x⁴ + 3x³ + x² + 6x³ + 9x² + 3x + 4x² + 6x + 2

= 2x⁴ + 3x³ + 6x³ + x² + 9x² + 4x² + 3x + 6x + 2

= 2x⁴ + 9x³ + 14x² + 9x + 2

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Answer:

Step-by-step explanation:

it would be D

The volume of the composite figure is 655.44 unit³.

The information is incomplete. An overview will be given. Let's assume that the shape is a cylinder.

The volume of a cylinder is πr²h

Assumed radius = 7

Assumed height = 4

The volume will be:

= πr²h

= 3.14 × 7² × 4

= 615.44 unit³

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The description of the box plots are as follows:

IQR = 25 - 2

= 23

The difference between the median values

= 20 - 6

= 14

That female admires those movie stars and has a large group of pals with whom she goes out on a regular basis to keep them company.

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Answer:

243/506

Step-by-step explanation:

There are 24 total juice boxes.

18 of them are not grape

You have an 18/24 chance of picking not grape juice

The second time, 1 is removed, then another is removed. This creates:

(18/24)*(18/23)*(18/22) = 243/506

The the anticipated return after financing cost with the most aggressive asset financing mix is $200000.

Most aggressive

Low liquidity = $2,500,000 *18%

Low liquidity = $450,000

Short-term financing = -$2,500,000*10%

Short-term financing = -$250,000

Anticipated return = $450,000 + (-$250,000)

Anticipated return = $200,000

Most conservative

High liquidity = $2,500,000 *14%

High liquidity = $350,000

Long-term financing = –$2,500,000 * 12%

Long-term financing = -$300,000

Anticipated return = $350,000 + (-$300,000)

Anticipated return = $50,000

Moderate approach

Low liquidity = $2,500,000 *18%

Low liquidity = $450,000

Long-term financing =–$2,500,000 * 12%

Long-term financing = -$300,000

Anticipated return = $450,000 + (-$300,000)

Anticipated return = $150,000

Moderate approach

High liquidity = $2,500,000 *14%

High liquidity = $350,000

Short-term financing = -$2,500,000*10%

Short-term financing = -$250,000

Anticipated return = $350,000 + (-$250,000)

Anticipated return = $100,000

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Complete question:

a. Compute the anticipated return after financing cost with the most aggressive asset financing mix.

b. Compute the anticipated return after financing cost with the most conservative asset financing mix.

c. Compute the anticipated return after financing cost with the two moderate approaches to the asset financing mix.

Answer: A, B, C

Step-by-step explanation:

[tex]m=\frac{-5-3}{4-(-4)}=-1[/tex]

Substituting into point-slope form, we get [tex]y-3=-(x+4)[/tex] and [tex]y+5=-(x-4)[/tex]. Rearranging this into slope-intercept form,

[tex]y-3=-(x+4)\\\\y-3=-x-4\\\\y=-x+1[/tex]

Answer:

29/12

Step-by-step explanation:

hello :

2/3  +5/6  +11/12 = (2×4)/(3×4)  + (5×2)/(6×2)  + 11/12

2/3  +5/6  +11/12 = 8/12  +10/12  +11/12 = (8+10+11)/12

2/3  +5/6  +11/12 = 29/12

Answer:

[tex]2\frac{5}{12}[/tex]

Step-by-step explanation:

To add fractions, we have to make sure that they have the same denominators. To do that, we have to find their lowest common multiple (LCM).

The LCM of 3, 6, and 12 is 12.

Then we have to multiply the numerator and denominator of each fraction by a number so that the denominator becomes the LCM (12).

[tex]\frac{2}{3} + \frac{5}{6} + \frac{11}{12}[/tex]

⇒ [tex]\frac{2 \times 4}{3 \times 4} + \frac{5 \times 2}{6 \times 2} + \frac{11 \times 1}{12 \times 1}[/tex]

⇒  [tex]\frac{8}{12} + \frac{10}{12} + \frac{11}{12 }[/tex]

⇒ [tex]\frac{8+10+11}{12}[/tex]

⇒ [tex]\frac{29}{12}[/tex]

⇒ [tex]\bf 2\frac{5}{12}[/tex]

The interest obtained after 4 years from a loan of $7500 is = $750

The principal amount of the loan = $7500

The rate at which the interest is paid is = 2.5%

The time that it will take to pay the interest = 4 years

Using the formula for Simple interest;

SI= P×T×R/100

SI = 7500×4 × 2.5/100

SI= 75000/100

SI=$750

Therefore, the interest accrued on a $7500 loan with a 2.5% interest rate over 4 years is = $750

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Answer:

150 student tickets and 375 adult tickets

Step-by-step explanation:

Let x = # of student tickets sold, and y = # of adult tickets sold.

Total of 525 tickets were sold, so the first equation is x + y = 525. The register gained $8325, so 10.50x + 18y = 8235 is the second equation.

x + y = 525

10.50x + 18y = 8325

18x + 18y = 9450

10.50x + 18y = 8325

7.5x = 1125

x = 150

150 + y = 525

y = 375