A company that manufactures toothpaste is studying five different package designs. Assuming that one design is just as likely to be selected by a consumer as any other design, what selection probability would you assign to each of the package designs (to 2 decimals)? In an actual experiment, consumers were asked to pick the design they preferred. The following data were obtained. Do the data confirm the belief that one design is just as likely to be selected as another?
Design Number of Times Preferred
1 5
2 15
3 30
4 40
5 10

Answer:

the first graph

Step-by-step explanation:

Answer:

The first graph A)

Step-by-step explanation:

Hope this helps whoever needs it!

Answer:

The probability that Archie will receive a grade higher than a B in the course is 0.2164.

Step-by-step explanation:

We are given that Archie learns that 93% of past students who did not attend TA sessions received a grade of B or below in the course. Archie also learns that 11% of past students received a grade higher than B.

Let B = event that the student received a grade higher than B.

and T = event that the student discussion sessions with the TA.

So, P(B) = 0.11 and P(T) = [tex]\frac{4}{18}[/tex] = 0.22

Also, the probability that the students who did not attend TA sessions received a grade of B or below in the course = P(B'/T') = P(not B/not T) = 0.92

Now, we have to find the probability that Archie will receive a grade higher than a B in the course given he attended the discussion sessions with the TA = P(B/T)

As we know that the conditional probability formula is given by;

                           P(B/T) = [tex]\frac{\text{P}(\text{B} \bigcap \text{T})}{\text{P(T)}}[/tex]

Now, as it is given that P(not B/not T) = 0.92

So, [tex]\frac{\text{P}(\text{not B} \bigcap \text{not T})}{\text{P(not T)}} =0.92[/tex]

      [tex]\frac{\text{P}(\text{not B} \bigcap \text{not T})}{1 - \text{P(T)}} =0.92[/tex]

      [tex]\frac{\text{P}(\text{not B} \bigcap \text{not T})}{1 - 0.22}} =0.92[/tex]

[tex]{\text{P}(\text{not B} \bigcap \text{not T})} =0.92\times 0.78[/tex]

[tex]{\text{P}(\text{not B} \bigcap \text{not T})}[/tex] = 0.7176

Also, [tex]{\text{P}(\text{ B} \bigcup \text{ T})}= 1 - {\text{P}(\text{not B} \bigcap \text{not T})}[/tex]

[tex]{\text{P}(\text{ B} \bigcup \text{ T})}[/tex] = 1 - 0.7176 = 0.2824  

Now, the formula for [tex]{\text{P}(\text{ B} \bigcup \text{ T})}[/tex] is given by;

[tex]{\text{P}(\text{ B} \bigcup \text{ T})} = \text{P(B)} + \text{P(T)} - {\text{P}(\text{ B} \bigcap \text{ T})}[/tex]

0.2824 = 0.11 + 0.22 - [tex]\text{P(B} \bigcap \text{T})[/tex]

[tex]\text{P(B} \bigcap \text{T})[/tex] = 0.33 - 0.2824 = 0.0476

Now, the required probability P(B/T) = [tex]\frac{\text{P}(\text{B} \bigcap \text{T})}{\text{P(T)}}[/tex]

                                                         = [tex]\frac{0.0476}{0.22}[/tex] = 0.2164

Hence, the probability that Archie will receive a grade higher than a B in the course is 0.2164.

Answer:

D

Step-by-step explanation:

Hope this helps:)

Answer:

Graph B is a function

Step-by-step explanation:

Hope this helps

Plz mark brainliest

Answer:

P = 20x - 12

Step-by-step explanation:

The Perimeter of a Rectangle is 2l + 2w, where l is the length and w is the width.

Now, let's substitute the given values.

2(8x - 9) + 2(2x + 3)

= 16x - 18 + 4x + 6

= 20x - 12                     <--- This is the answer

Hope this helps!

Answer:

[tex]y+6=\frac{-8}{7} (x-7)[/tex]

Step-by-step explanation:

To find the slope of the equation use [tex]\frac{y_2-y_1}{x_2-x_1}[/tex].

So, [tex]\frac{-6-2}{7-0}[/tex] = [tex]\frac{-8}{7}[/tex]. Now we can use our slope and any of the two points to write in point-slope form, which is [tex]y-y_1=m(x-x_1)[/tex]. Using the point (7,-6), the formula will give [tex]y+6=\frac{-8}{7} (x-7)[/tex].

To check, you can plug in this equation and the points into a calculator to graph. The line passes through both points.

Answer:

3

Step-by-step explanation

Q and R are already given to you so you just have to look

Answer:

wow left handed i can't try that i'm very bad at throwing left handed plus he got closer more times then his right wait no she

Step-by-step explanation:

Answer:

The left hand is more accurate.

Step-by-step explanation:

If you look at the graph, it will look like the right hand is more accurate, due to the fact that it has a closer distance than the left. However, the right hand actually never have hit the target while the left did more than once.

Answer:

-269,380

Step-by-step explanation:

Answer:

-269380

Step-by-step explanation:

Answer:

150 adults and 270 children

Step-by-step explanation:

Let there are x adults and y children.

ATQ,

x+y=420

or

y=420-x ....(1)

Adult visitors pay $3 and children visitors pay $1. on one day, the zoo collected a total of $720.

ATQ,

3x+y=720...(2)

Put equation (1) in equation (2).

3x+420-x=720

2x=720-420

2x=300

⇒x=150

Put the value of x in equation (1)

y=420-150

⇒y=270

So, there are 150 adults and 270 children visited.

Answer:

21

Step-by-step explanation

They jumped 3 meters above the water, jumped down 18, 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18, thats 15 away, the distance is 15, if I am worng (probably am) try 20, if not, Im retarted and dont trust me with this.

9514 1404 393

Answer:

  21 m

Step-by-step explanation:

The difference in height between +3 meters and -18 meters is ...

  3 -(-18) = 3 +18 = 21 . . . . meters

Answer:

6=4 1/6+10 1/6

Step-by-step explanation:

here ya go!!!!

6=-4 1/6+b

4 1/6+6=10 1/6(this is b)

4 1/6+(-4 1/6)(these cross out)

sooo

6=-4 1/6+10 1/6

Answer:

dy/dx = e⁻²ᵗ (1 − t)

d²y/dx² = -e⁻³ᵗ (3 − 2t)

(1.5, ∞)

Step-by-step explanation:

x = eᵗ

y = te⁻ᵗ

dx/dt = eᵗ

dy/dt = -te⁻ᵗ + e⁻ᵗ

dy/dt = e⁻ᵗ (1 − t)

dy/dx = (dy/dt) / (dx/dt)

dy/dx = e⁻ᵗ (1 − t) / eᵗ

dy/dx = e⁻²ᵗ (1 − t)

d²y/dx² = d(dy/dx)/dt / (dx/dt)

d²y/dx² = (-e⁻²ᵗ − 2(1 − t) e⁻²ᵗ) / eᵗ

d²y/dx² = -e⁻²ᵗ (1 + 2(1 − t)) / eᵗ

d²y/dx² = -e⁻³ᵗ (3 − 2t)

The function is concave up when the second derivative is positive.  -e⁻³ᵗ is always negative, so the second derivative is positive when 3 − 2t is negative.

3 − 2t < 0

3 < 2t

t > 3/2

Or, in interval notation, (1.5, ∞).

Answer:

2^5

Step-by-step explanation:

2^4 × 2^6 ÷ 2^5

= 2^10 ÷ 2^5

=2^5

Answer: 2 perpendicular line and 180 degrees rotational symmetry

Step-by-step explanation:

I just did it

Answer:

35.56

Step-by-step explanation:

multiply the length value by 2.54

Answer:

35.56 cm.

Step-by-step explanation:

multiply the length value (the number) by 2.54

Answer:

well I actully you do 17,125 times 3 and then you get your answer

Step-by-step explanation:

17,125 times 3

Answer:

210,541

Step-by-step explanation:

17125 x 3 = 51375

51375 + 159166 = 210541

Answer:

yes

Step-by-step explanation:

Answer:  $5.40

Step-by-step explanation:

First we will find the tax amount for Dave by multiplying 8% by 15.

8% * 15 =  1.2  

Now add it to the original price of the baseball which is 15.

15 + 1.2= 16.20  This means Dave paid $16.20 in total.

Now find the tax amount for Mel.

20 * 8% = 1.6  

Add 1.6 to the original price which is $20.

1.6 + 20 = 21.60    

Mel also paid $21.60 in total.

To find the difference  we need to subtract the lowest amount from the highest amount.

21.60 - 16.20 = 5.40

Answer:

im dumb too just a little

Ok so here you go..

He takes 8 minutes to ring up 2 costumers

In 1 minute,he will ring 2/8 customers

In 30 minutes= 2/8 *30= 7.5

The answer doesn't make sense so maybe your data is incorrect

Answer:

4.1

Step-by-step explanation:

Answer: Algebraic: 15-22

Simply:-7

Step-by-step explanation:

Less than means to take away from, so in this case we are taking away 22 from 15

Answer: 5/12

Step-by-step explanation:

Our common denominator is 60.

25 * 27 = 675

675 / 45 = 15

40 - 15 = 25

Since our denominator is 60, 25/60 is our answer.

25 / 60 simplified is 5 / 12.

hope this helps

Answer:

Step-by-step explanation:

Gross pay means the amount of money you get without any tax reductions.

40 * 11 = $440

Find the value of all the taxes.

440 * 0.15 = $66

440 * 0.08 = $35.20

440 * 0.07 = $30.80

Net pay means the amount of money you get with tax reductions.

440 - 66 - 35.20 - 30.80 = $308

Best of Luck!

Answer:

[tex]x=58[/tex]

Step-by-step explanation:

First, remember that the maximum degree of an angle totals 360°.

Since we already have 294°, this means that what is left must total [tex]360\textdegree - 294\textdegree= 66\textdegree[/tex].

Therefore, this means that our two smaller angles must equal 66°. So:

[tex](36)+(x-28)=66[/tex]

Solve for x. Add on the left:

[tex]x+8=66[/tex]

Subtract 8 from both sides. Therefore, the value of x is:

[tex]x=58[/tex]

Answer:

yes you cam win money form playing this game but you can also lose money.

Step-by-step explanation: