Jenny has a 12-sided die.
If Jenny rolls the die 180 times, how many times can Jenny predict she will roll a 12?

Jenny Has A 12-sided Die.If Jenny Rolls The Die 180 Times, How Many Times Can Jenny Predict She Will

Answers

Answer 1

The prediction of a roll of 12 is the expected value of rolling a 12

Jenny can predict 15 as the number of times she will roll a 12

How to predict the number of rolls of 12?

The dice is a 12-sided dice.

This means that the dice has 12 sides.

So, the probability of obtaining a 12 is:

P(12) = 1/12

In a roll of 180 times, the number of times a 12 is expected to show is:

E(x) = np

This gives

E(x) = 180 * 1/12

Evaluate the product

E(x) = 15

Hence, Jenny can predict 15 as the number of times she will roll a 12

Read more about expected values at:

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Related Questions

Samantha has saved $40 towards buying a $125 electronic book reader. Starting this week, she plans to save an additional $15 each week.
Write and solve an inequality that can be used to find the minimum number of weeks, w, it will take Samantha to save for the book reader

Answers

125 = 40 + 15w

W = number of weeks

6 weeks is 125 = 40 + 15(16) 

15(16) is 90 so 90 + 40 = 130

So the inequality would be w >= 6

To be more precise because 6 weeks is $130 and not $125, divide 85 (money still needed) by 15 to get the decimal 5.66…, so it would be w >= 5.66…

If the function f(x) = 4* is translated up 6 and left 2, write the new function

Answers

Answer:

f(x+2)+6 = 4^(x+2)+6

Step-by-step explanation:

(The power is to the x+2) Hope this helps!:)

prove that (Cosx-Cos³x)/Sinx=SinxCosx​

Answers

Answer:

(Cosx-Cos³x)/Sinx=SinxCosx

Step-by-step explanation:

sin3x−cos3x

=sinxsin2x−cosxcos2x

=sinx(1−cos2x)−cosx(1−sin2x)

=sinx−sinxcos2x−cosx+cosxsin2x

=sinx−cosx+(sinx−cosx)sinxcosx  

=(sinx−cosx)(1+sinxcosx

please help??? i’m not sure the answers or how to do this. greatly appreciated

Answers

1)

I think you should start off by solving the function equal to the given growth.

[tex]f(m) = 5.98[/tex]

[tex]3(1.09) {}^{m} = 5.98[/tex]

[tex]1.09 {}^{m} = \frac{5.98}{3} [/tex]

[tex]1.09 {}^{m} = 1.9933[/tex]

[tex]m \times ln(1.09) = ln(1.9933) [/tex]

[tex]m = \frac{ ln(1.9933) }{ ln(1.09) } = 8 [/tex]

It is sufficient to plot the exponential growth over the domain m [0,8]

2)

The y-intercept in this case represents the growth achieved at the beginning when m=0.

Before the experiment started::

3)

I'm not really sure about this one,but i think it's supposed to be solved according to this eq,,

[tex]c = \frac{f(8) - f(2)}{8 - 2} [/tex]

Note that c is the average rate of change.

Find f(2) first by substituting 2 in f(m)

f(2)=3(1.09)²=3.5643

[tex]c = \frac{5.98 - 3.5643}{ 8 - 2} [/tex]

[tex]c = \frac{2.4157}{6} = 0.4026[/tex]

average growth=0.4026 cm/month

Tony has a narrow piece of wood that is 40 inches long. He wants to make a frame for a picture. He wants to top and bottom to be 12 inches in length. How wide will be?

Answers

It will be 8 inches wide. 12x12=24, 40-24=16, 16/2=8

(3x+3)what is the measure

Answers

Answer:

I don't think you provided the whole question...

Step-by-step explanation:

what is the probability and odd for 7/16​

Answers

Answer:

What is the probability and odd for 7/16​

There is a 30.43 percent of a particular outcome and 69.57 percent of another outcome.

Carlos has 2 pieces of buttered toast. He cuts the toast and shares it equally between his 3 friends. What fraction of a piece of toast does each friend receive?​

Answers

1st friend: 1/2 2nd friend: 1/2 third friend: 1/1(1)

Answer: The 1st friend would get 1/2 of toast, 2nd friend would get 1/2 of toast, & the third friend would get 1/1=(1) of toast

Hope this helps! c:

If the area of a triangle is 100 in^2, and the height is 10in, find the length of the base in inches.
Round to the nearest inch if applicable.

Answers

Answer:

Area of a triangle is 100 in²

Height of triangle is 10 in .

we have been asked to find the length of its base .

Formula Used to Find length of its base

☯[tex] \bf\: Area \: of \: triangle \: = \dfrac{1}{2} \times base \: \times height \: [/tex]

Put the given value we obtain

[tex] \rm \implies \: 100 = \dfrac{1}{2} \times base \: \times 10 \\ \\ \rm \implies \: 100 = \dfrac{1}{ \cancel2} \times base \: \times \cancel{10} \\ \\ \rm \implies \: 100 = base \: \times 5 \\ \\ \rm \implies \: base \: = \dfrac{100}{5} \\ \\ \rm \implies \: base \: = \cancel\dfrac{100}{5} \\ \\ \rm \implies \: base \: = 20 \: inch[/tex]

So, the length of its base is 20 inch .

The base length of the triangle with the given values of area and length of height to the nearest inch 20in.

What is a triangle?

A triangle is a two-dimensional shape with three edges and three vertices.

The area of a triangle is expressed as;

A = (1/2) × base × height

Given the data in the question;

Area of the triangle A = 100in²Length of Height = 10inLength of Base = ?

We substitute our given values into the expression above.

A = (1/2) × base × height

100in² = (1/2) × Base × 10in

100in² = 0.5 × 10in × Base

100in² = 5in × Base

Base = 100in² / 5in

Base = 20in

Therefore, the base length of the triangle with the given values of area and length of height to the nearest inch 20in.

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Three friends compare the balances in their checking accounts.

The balance in Al's account is $32.60.
The balance in Dee's account is 34 the balance in Al's account.
The balance in Zac's account is $49.08 less than the balance in Dee's account.What is the balance in Zac's account?

Answers

Answer:

34%

Step-by-step explanation

34% (I believe)

What are the zeros of the graph shown? (SELECT ALL THAT APPLY.)​

Answers

Answer:

(-2,0) and (2,0)

Step-by-step explanation:

These are the zeroes because they are the x-intercepts of the graph / they are the points where the line crosses the x-axis

Find AC. Please help fast

Answers

Answer:

Step-by-step explanation:

AB/ED = AC/DF

15/18 = AC/20

5/6 = AC/20

Cross multipy

6AC = 5*20 = 100

so

AC = 100/6 = 16.7

Establish a relationship to determine the equivalent resistance R of a combination of three resistors having resistances R1, R2 and R3 connected in series. Calculate the equivalent resistance of the combination of three resistors of 2 Ω, 3 Ω and 6 Ω joined in parallel.​

Answers

Answer:

Step-by-step explanation:

the resistors which connected in series

equivalent resistance = R1 +R2 + R

is the relationship between the resistors connected in series.

For parallel connection

R1 = 2ohm

R2 = 3ohm

R3 = 6ohm

for equivalent resistance (Rt)

1/Rt = 1/R1 + 1/R2 + 1/R3

1/Rt = 1/2 + 1/3 + 1/6

1/Rt = (3 + 2 + 1)/6 = 6/6 =1/1

Rt = 1 ohm

equivalent resistance = 1 ohm

Floria wants to buy a dress that costs $96. She has saved $60 for the dress. What percent of the price of the dress has she saved?

Answers

Answer:

she saved 37.5%

Step-by-step explanation:

96-60=36

96*x=36

divide both sides by 96

x=0.375

please answer this question​

Answers

By selling 45 bananas for Rs 40,

40/45 = 0.888888888 Rs/banana

If he is losing 20% on this deal,

This means that

0.8888888/x = 80/100

88.88888 = 80x

Divide both sides by 80

x = 1.1111111111

So, if he wants to make 0% profit, he must sell the 45 bananas for 1.11111 Rs each.

If he wants to make 20% profit for 45 bananas,

1.111111 x 1.2 = 1.3333333

He will need to sell each banana for Rs 1.3333333.

So,

y = 1.333333x

And we are given

y = 24x

We can equal these equations to each other

1.333333333(45) = 24x

60 = 24x

x = 2.5

He will need to sell only 2.5 bananas.

Simplify the rational expression. x^2 - 3x - 54 | x^2 -10x + 9

Answers

Answer:

[tex]\frac{x+6}{x-1}[/tex]

Step-by-step explanation:

Given

[tex]\frac{x^2-3x-54}{x^2-10x+9}[/tex] ← factorise both numerator and denominator

= [tex]\frac{(x-9)(x+6)}{(x-9)(x-1)}[/tex] ← cancel (x - 9) on numerator/ denominator

= [tex]\frac{x+6}{x-1}[/tex] ← x ≠ 1

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[tex] \frac{ {x}^{2} - 3x - 54 }{ {x}^{2} - 10x + 9 } = \frac{(x - 9)(x + 6)}{(x - 9)(x - 1)} = \frac{x + 6}{x - 1} \\ [/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

How do I solve this? , (Find measurement of angles)

Answers

Answer:

105°

Step-by-step explanation:

FEG+EFG=FGN (Exterior angle of a triangle= 2 interior opposite angles)

FEG+35°=140°

FEG=140-35

FEG= 105

Which transformation of AB will produce a line segment A'B' that is parallel to AB?

Answers

Options:

Rotation of 180° about point B

Rotation of 90° about point b

Reflection over the x-axis

Translation down 2 units

Answer:

Rotation of 180° about point B

Step-by-step explanation:

Considering coordinates of point B

Assume the coordinates of the line at point B is (x,y)

i.e. [tex]B = (x,y)[/tex]

First, we need to determine the slope at point B

Taking coordinates about the origin.

The slope of B is:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Where

[tex](x_1,y_1) = (0,0)[/tex] --- origin

[tex](x_2,y_2) = (x,y)[/tex]

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex] becomes

[tex]m = \frac{y - 0}{x - 0}[/tex]

[tex]m = \frac{y}{x}[/tex]

Taking the options one after the other:

Option A.

When rotated by 180°, the resulting coordinates of B would be

[tex]B' = (-x,-y)[/tex]

Taking the slope of B'

The slope of B is:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Where

[tex](x_1,y_1) = (0,0)[/tex] --- origin

[tex](x_2,y_2) = (-x,-y)[/tex]

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex] becomes

[tex]m = \frac{-y - 0}{-x - 0}[/tex]

[tex]m = \frac{-y}{-x}[/tex]

[tex]m = \frac{y}{x}[/tex]

Notice that the slope of B and B' is the same;

[tex]m = \frac{y}{x}[/tex]

Hence:

Rotation of 180° about point B  answers the question

There's no need to check for other options

What is 2/3 - (-2/3)?

OA) -4/3

OB) 4/3

C) 0

OD) 2/3

Answers

Answer:

OB

-2 multiply by a -2 is a - 4 which is a numerator then

3 doesn't change cause it is a denomenator

thus your final answer is a -4/3

what is the sign of 46.2 + 112.3.

is it a positive or negative? ​

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\textsf{2 positives (+) equals positive}\\\large\textsf{2 negatives (-) equals negative}\\\large\textsf{1 negative (-) \& 1 positive (+) equals negative}\\\large\textsf{1 positive (+) \& 1 negative (-) equals negative}[/tex]

[tex]\large\text{According, to your equation you have 2 POSITIVES and even your}\\\large\text{symbol is a positive, so this means your result will turn out to be a positive}[/tex]

[tex]\large\textsf{46.2 + 112.3}\\\rightarrow\large\large\textsf{46.20 + 112.30}\\\rightarrow\large\textsf{158.50}\\\\\large\text{Thus, your equation answer is: \boxed{\mathsf{158.50}}}\\\\\\\\\huge\textbf{Your overall is: \boxed{\mathsf{Positive}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

An advertising executive wants to determine if a new billboard placed in a city caused sales of her product to increase. To do this, she selects random stores that sell the product on the billboard and compares the amount sold in one business cycle before the billboard was placed to the sales of one business cycle after. Suppose that data were collected for a random sample of 10 stores, where each difference is calculated by subtracting the number of units sold in thousands before the billboard was placed from the number of units sold in thousands after the billboard was placed. Assume that the numbers are normally distributed. The executive uses the alternative hypothesis Ha:μd>0. Using a test statistic of t≈6.537, which has 9 degrees of freedom, determine the range that contains the p-value.

Answers

Complete Question

The complete question is shown on the first and  second uploaded image

Answer:

The correct option is the first and the last option

Step-by-step explanation:

From the question we are told that

   The sample size is  n =  10

   The null hypothesis is  [tex]H_o :  \mu_d  =  0[/tex]

   The alternative hypothesis is  [tex]H_a :  \mu_d  >  0[/tex]

    The test statistics is  [tex]t \approx 6.537[/tex]

   The level of significance is  [tex]\alpha  = 0.05[/tex]

Generally the p-value is mathematically represented as

    [tex]p-value  =  P(t >  6.537 )[/tex]

From z-table  [tex]P(t >  6.537 ) = 0[/tex]

So  

   [tex]p-value  =  0[/tex]

From the value obtained we see that [tex]p-value < \alpha[/tex] hence we reject the null hypothesis that the true mean difference between the number of units sold after the billboard was placed and the number of units sold before the billboard was placed is equal to zero

Thus we conclude that

Based on the results of the hypothesis test, there is not enough evidence at the level of significance(0.05) to suggest that the true mean difference between the number of units sold after the billboard was placed and the number of units sold before the billboard was placed is greater than zero    

the ratio of prizes to contestants if there are 3 prizes for every 10 contestants

Answers

Answer: (3,10)??? this question isn't specific sorry

Step-by-step explanation:

HELLLPPPP

Find the amount of simple interest earned for depositing the given principle in an account. if $3100
is invested at 5.5 % for 3 months

Answers

Answer:

$ 42.625 is the correct answer .

Step-by-step explanation:

principal ( p ) = $3100

Rate ( R ) = 5.5 %

Time ( T ) = 3 months

( convert months into year)

= 3/12 year

Simple Interest ( I ) = ??

By using formula ,

simple Interest ( I) = PTR / 100

=$3100 × 5.5 % × 3/12 ÷ 100

= 3100 × 5.5 × 3 ÷ 100 × 12

= 51150 ÷ 1200

= 42.625

= $ 42.625

Thank you ☺️☺️☺️

Enter the coordinates of the point
on the unit circle at the given angle.
240°

Answers

EXPLANATION:

To convert degrees to radians, multiply by π / 180 °

since a full circle is 360° or 2π radians.

240°⋅π / 180° radians

Cancel the common factor of 60

4 × π / 3 radians

Combine 4 and π / 3.

4π / 3 radians

HOPE ITS HELPS !!!!!

The coordinates of the points on unit circle at the given angle 240 degrees is[tex](\frac{-1}{2} ,\frac{-\sqrt{3} }{2} )[/tex]

The formula for calculating Radians is:

[tex]radians= (degrees)[/tex]×[tex]\frac{\pi }{180}[/tex]

Formula for calculating coordinates of  point (x, y) on circle:

x=rcosθ

y=rsinθ           (where r is the radius of  circle for unit circle r=1)

According to the question

we have

θ = 240 degrees and, r =1

so,  240 degrees = 240×[tex]\frac{\pi }{180}[/tex]

⇒240 degrees = [tex]\frac{4\pi }{3}[/tex]   (in radians)

Therefore, the coordinates of the points on unit circle at angle [tex]\frac{4\pi }{3}[/tex] is calculated as

[tex]x=(1)cos\frac{4\pi }{3}[/tex]                    (for unit circle r=1)

[tex]x=\frac{-1}{2}[/tex]

And,

[tex]y=(1)sin\frac{4\pi }{3}[/tex]                 (for unit circle r=1)

[tex]y=\frac{-\sqrt{3} }{2}[/tex]

Hence, the coordinates of the point on unit circle at angle 240 degrees is [tex](\frac{-1}{2} ,\frac{-\sqrt{3} }{2} )[/tex]

Learn more about coordinates of the point on circle here:

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Solve for N
8/10 = 4/N
N=

Answers

Answer:

N= 5

Step-by-step explanation:

Solve for N by cross multiplying

Find the values of x and y that make the quadrilateral a parallelogram.

Answers

Answer:

Parallelogram means opposite sides equal and parallel to each other

So

x=16y=9

Done!

point b is between A and C. if AB =2x, BC =3x+1, and AC=21, find the length of BC

Answers

Step-by-step explanation:

We are here given that a point B is between A and C . Also ,

Value of AB = 2x Value of BC = 3x + 1 Value of AC = 21 .

And we would like to calculate the length of BC . For figure refer to the attachment. From figure we can see that ,

[tex]\rm:\implies AC = AB + BC [/tex]

Substitute the respective values,

[tex]\rm:\implies 21 = 2x + 3x + 1[/tex]

Add like terms ,

[tex]\rm:\implies 21 = 5x +1 [/tex]

Subtract 1 on both sides,

[tex]\rm:\implies 21-1 = 5x [/tex]

Simplify,

[tex]\rm:\implies 20=5x [/tex]

Divide both sides by 5,

[tex]\rm:\implies \blue{ x = 4}[/tex]

Now consider ,

[tex]\rm:\implies BC = 3x+1 [/tex]

Plug in the value of x found above ,

[tex]\rm:\implies BC= 3(4)+1[/tex]

Simplify,

[tex]\rm:\implies BC = 12+1[/tex]

Add,

[tex]\rm:\implies \underline{\boxed{\blue{\rm{ \quad BC \quad =\quad 13\quad }}}}[/tex]

And we are done !

Answer:

+ BC = AC

x + 2x+1 = 22

3x +1 = 22

3x = 21

x = 7

AB = 7

BC = 2*7+1 = 14 + 1 = 15

15 - 2

13

please help will mark BRAINLIEST

Answers

Answer:

A.)

-2, -1, 0, 1, 2, 3, 4, 5, 6

Step-by-step explanation:

mark me brainliest!!

2 1/8 x 2 3/5 simplified

Answers

Answer:

5 21/40

Step-by-step explanation:

easy maths

Find the circumference r=14m

Answers

Answer:

There!!

Step-by-step explanation:

mark me brainliest!!

Answer:

88 m

Step-by-step explanation:

Given,

Radius ( r ) = 14

Formula : -

Circumference of circle = 2π4

Circumference of circle

= 2 x 22 / 7 x 14

= ( 2 x 22 x 14 ) / 7

[ 14 = 2 x 7 ]

= ( 2 x 22 x 2 x 7 ] / 7

= 2 x 22 x 2

= 88 m

Note : -

The value of π = 22 / 7.

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