4. The mode of the following data set is 15, 16, 17, 23. 11, 19, 20, 15, 18, 22. 15, 19​

Answer:

$15, 300 a loan

Step-by-step explanation:

14, 400/2 = 7200

25000- 7200 = 17,800

17, 800- 2500 for a scholarship = 15,300

Number of ways to choose two colors of three colors when order of choice is relevant and relevant are 6 and 3 respectively.

Permutation refers to placing all members of a set in a particular order or choice of order. Combination is a way of selecting items from a collection, so the order of selection (unlike permutation) does not matter.  

Given,

Three colors, red, blue and green

a) Number of ways of choosing 2 colors out of three colors when order matter

= ³p₂

= 3!/(3-2)!

= (3×2×1)

= 6

b) a) Number of ways of choosing 2 colors out of three colors when order does not matter

= ³C₂

= 3!/(3-2)!2!

= (3×2×1)/(2×1)

= 3

Hence, when 6 and 3 are the number of ways to choose 2 colors from three colors when order matter and dose not matter respectively.

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Answer:

0.433

Step-by-step explanation:

From the given information;

Let represent Urn 1 to be Q₁ ;

Urn 2 to be Q₂

and the event that a blue token is taken should be R

SO,

Given that:

Urn 1 comprises of 4 blue token and 9 red tokens,

Then, the probability of having a blue token | urn 1 picked is:

 [tex]P(R|Q_1) = \dfrac{4}{4+9}[/tex]

[tex]= \dfrac{4}{13}[/tex]

Urn 2 comprises of 12 blue token and 5 red tokens;

Thus [tex]P(R| Q_2) = \dfrac{12}{12+5}[/tex]

[tex]=\dfrac{12}{17}[/tex]

SO, if two coins are flipped, the probability of having two heads = [tex]\dfrac{1}{4}[/tex]

(since (H,H) is the only way)

Also, the probability of having at least one single tail = [tex]\dfrac{3}{4}[/tex]

(since (H,T), (T,H), (T,T) are the only possible outcome)

Thus: so far we knew:

[tex]P(Q_2) = \dfrac{1}{4} \\ \\ P(Q_2) = \dfrac{3}{4}[/tex]

We can now apply Naive-Bayes Theorem;

So, the probability P(of the token from Urn 2| the token is blue) = [tex]P(Q_2|R)[/tex]

[tex]P(Q_2|R) = \dfrac{P(R \cap Q_2)}{P(R)} \\ \\ = \dfrac{P(R|Q_2) * P(Q_2)}{P(R|Q_2) \ P(R_2) + P(R|Q_1) \ P(Q_1)} \\ \\ \\ \\ = \dfrac{\dfrac{12}{17} \times \dfrac{1}{4} }{\dfrac{12}{17} \times \dfrac{1}{4} + \dfrac{4}{13} \times \dfrac{3}{4}} \\ \\ \\ = \dfrac{13}{30}[/tex]

= 0.433

If you came for a short answer

A=1.50

B=1

a) Each jigsaw puzzle costs $1.5.

b) Each paddle ball paddle costs $1.

Given that Do-Nothing #1 paid $8 for 2 paddle ball paddles and 4 jigsaw puzzles.

Do-Nothing #2 paid $18 for 3 paddle ball paddles and 10 jigsaw puzzles.

We need to find how much each cost.

Let's solve the problem step by step.

Let's assume the cost of each jigsaw puzzle is 'x' dollars, and the cost of each paddle ball paddle is 'y' dollars.

According to the given information:

The first person paid $8 for 2 paddle ball paddles and 4 jigsaw puzzles. So, we can write the equation as:

2y + 4x = 8............. eq(i)

The second person paid $18 for 3 paddle ball paddles and 10 jigsaw puzzles. So, we can write the equation as:

3y + 10x = 18............. eq(ii)

Now, we can solve these two equations to find the values of 'x' and 'y'.

To do so, we can multiply Equation 1 by 3 and Equation 2 by 2 to eliminate the 'y' term:

6y + 12x = 24............. eq(iii)

6y + 20x = 36............. eq(iv)

Subtracting Equation 3 from Equation 4, we get:

6y + 20x - (6y + 12x) = 36 - 24

6y + 20x - 6y - 12x = 12

8x = 12

x = 12/8

x = 1.5

Now, substitute the value of 'x' back into Equation 1 to find 'y':

2y + 4(1.5) = 8

2y + 6 = 8

2y = 8 - 6

2y = 2

y = 2/2

y = 1

So, the cost of each jigsaw puzzle is $1.5, and the cost of each paddle ball paddle is $1.

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Answer:

point A

Step-by-step explanation:

Point A is at (9,-4) (x coordinate, y-coordinate)

it is 4 units down from (9,0)

9514 1404 393

Answer:

  13, 22

Step-by-step explanation:

Let s represent the smaller. The sum of the numbers is ...

  s + (s+9) = 35

  2s = 26 . . . . . . subtract 9

  s = 13

  s+9 = 22

The two numbers are 13 and 22.

_____

Additional comment

As you can see, the smaller number is half the difference of the sum and difference: s = (35-9)/2. This is the generic solution to a "sum and difference" problem.

Answer:

54 is the width

Step-by-step explanation:

65+65=130

238-130=108

108÷2=54

Answer:

The width of the rectangular is 54yards

Step-by-step explanation:

please mark me brainliest

Answer:

(x-6)^3x-5 =6

Step-by-step explanation:

logb a=c ------>  b^c =a

9514 1404 393

Answer:

  B.  9 cm

Step-by-step explanation:

The number of face masks Ray can make with 20 m of cord is ...

  (20 m)(100 cm/m)/(10.25 cm/mask) = 195.12195 masks

To make one more mask, he will need to buy an additional amount of ...

  (196 -195.12195)×(10.25 cm) ≈ 9.00 cm

Ray would need to add 9 cm of cord to his order.

Answer:

times all of the numbers

Step-by-step explanation:

Answer:

12.56m²

Step-by-step explanation:

So the formula for the circumference of a circle is π x diameter, so we just have to plug into our equation (we're using 3.14 as π):

3.14 x 4 = 12.56

So the circumference of your circle is 12.56 meters²

hope this helps:)

Answer:

D.f(x)=2x-9and g(x)=X+9/2

About 0.46

0.46(6+26)=>15

Answer:

you dont divide it.

Step-by-step explanation:

x+8/2 can mean a few things cause its not very clear.

x+ 8/2

x+8/2 (x+8 over 2)

8/2=4 so if its x + 8/2 thats just x+4

Answer:

15/14

Step-by-step explanation:

I put it into the scientific desmos calculator online

Answer:

100degrees

Step-by-step explanation:

From the given diagram;

<2 = <6 (corresponding angle)

Since <6 + 80 = 180

<6 = 180 - 80

<6 = 100 degrees

Since <2 = <6, hence <2 = 100degrees

Well formatted version of question:

Find the expected value of a random variable x having the following probability distribution.

x (-5,-1,0,1,5,8)

Probability (.12, .16, .28, .22, .12, .1)

Answer:

0.86

Step-by-step explanation:

The expected value E(X) is calculated as :

E(X) = Σ(x * p(x))

(-5)(0.12) + (-1)(0.16) + (0)(0.28) + 1(0.22) + 5(0.12) + 8(0.10)

-0.6 + -0.16 + 0 + 0.22 + 0.6 + 0.8

= 0.86

12x = (10)(11)

12x=110

x=110÷12

x=55/6

Answer:

It is true that 20% and 30% make 50%. But in the context of sale prices it is essential to keep track of the wholes to which these percents apply. For the backpack, the 30% discount applies to the original $60 price: 30% of $60 is 0.3×60=18 making the discount on the backback $18. So after using the coupon, the backpack price becomes $42. Emily's additional 20% coupon applies not to the original backpack price but to the discounted price of $42: 20% of $42 is $8.40. Emily would need to save an additional $12 off the $42 price in order to buy the backpack for $30 so her calculations are not correct.

As seen in part (a), Emily's coupon lowers the discount rack price by $8.40 so she will pay

42−8.40=33.60

or $33.60.

Step-by-step explanation:

Answer:

1/3P

Step-by-step explanation:

P/3 is equal to 1/3P

Answer:

5 years

Step-by-step explanation:

3000x.06=180 interest per year.

900/180 =5 years to earn 900 interest.

Answer:

B

Step-by-step explanation:

Use quadratic formula

Answer:

1. 50000

2.

i 274625000cm

ii 274.625m

Step-by-step explanation:

1. Area of a rectangle: length*width

250*200=50000cm

2. Volume of a cube: length^3

i 650^3=274625000cm

ii 650 cm=6.5m; 6.5^3=274.625m

Answer:

Hello! In this picture I marked the new dot for that point and reflected it across the x axis!

The original coordinates are: 5, -3

and the new coordinates are: 5, 3

Hope that helps!

Answer:

P(0) = 0.055

P(1) = 0.16

P(2) = 0.231

P(3) = 0.224

P(4) = 0.162

P(5 or more) = 0.168

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

In which

x is the number of sucesses

e = 2.71828 is the Euler number

[tex]\mu[/tex] is the mean in the given interval.

Here λ = 2.90 is the average number of bacteria colonies per field.

This means that [tex]\mu = 2.90[/tex]

Compute P(r) for r = 0, 1, 2, 3, 4, and 5 or more.

[tex]P(0) = \frac{e^{-2.9}*(2.9)^{0}}{(0)!} = 0.055[/tex]

[tex]P(1) = \frac{e^{-2.9}*(2.9)^{1}}{(1)!} = 0.16[/tex]

[tex]P(2) = \frac{e^{-2.9}*(2.9)^{2}}{(2)!} = 0.231[/tex]

[tex]P(3) = \frac{e^{-2.9}*(2.9)^{3}}{(3)!} = 0.224[/tex]

[tex]P(4) = \frac{e^{-2.9}*(2.9)^{4}}{(4)!} = 0.162[/tex]

5 or more:

This is

[tex]P(X \geq 5) - 1 - P(X < 5)[/tex]

In which:

[tex]P(X < 5)  = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.055 + 0.16 + 0.231 + 0.224 + 0.162 = 0.832[/tex]

[tex]P(X \geq 5) - 1 - P(X < 5) = 1 - 0.832 = 0.168[/tex]

So

P(5 or more) = 0.168

Answer:

106,400 i think

Step-by-step explanation:

Answer:

47 people live on each square mile of the state

Step-by-step explanation:

5000000 people divided by (280 x 380) square miles

is 47 people per 1 square mile

Answer:

????????????????????

Answer:

Step-by-step explanation:

9x + 2y = 59 -> 9x = 59 - 2y -> x = (59-2y)/9

2x + 5y = 4 -> 2(59-2y)/9 + 5y = 4 -> (118 - 4y)/9 +5y = 4

118 - 4y + 45y = 4*9 -> 41y = -82 -> y = -2, thus x = 7