Loretta is rolling an unfair 6 sided die with a single number between 1 and 6 on each face. She has a 70% chance of rolling a four. She is playing a game with a friend and knows that if she rolls a four on three of her next five rolls she will lose the game. She wants to determine the probability that she rolls a four on three of her next five rolls.

Which simulation design has an appropriate device and a correct trial?
A) Using a fair coin let heads represent rolling a four and tails represent not rolling a four. Flip the coin five times.
B) Using a table of random digits select a digit between 0 and 9. Let 0-6 represent rolling a four and 7-9 represent not rolling a four. Select five digits.
C) Roll a fair die with a single digit between 1 and 6 on each face. Let four represent rolling a four and 1-3 and 5 and 6 represent not rolling a four. Roll the die five times.
D) Using a table of random digits select a digit between 1 and 6, ignoring digits 0, 7, 8, and 9. Let 4 represent rolling a four and 1-3 and 5 and 6 represent not rolling a four Select five digits.

Answer:

She read 366 books and she was gone for 6 hours.

Step-by-step explanation:

216+150=366

5+1=6

Final answer:

Jenna read a total of 366 books, combining both the comics and novels. She was gone for 6 hours in total when visiting her friend Emilia and going shopping.

Explanation:

Jenna read a total of 216 comics and 150 novels. To find how many books she read, you simply add these two numbers together:

216 comics

+ 150 novels

216 + 150 = 366 books.

For the second part of the question, Jenna spent 5 hours at Emilia's house and went shopping for 1 hour. To find out how many hours she was gone, you add the two durations of time:

5 hours at Emilia's house

+ 1 hour shopping

5 + 1 = 6 hours gone.

Answer:                        

New price of DVD is $9.84

Answer:

The answer is C. $9.84

Step-by-step explanation:

The original price of the DVD is $12.

So, In order to calculate the price reduced by 18%

Original price - ( rate x Original price) = price reduced

18% = 18/100 = 0.18

$12 - (0.18 x $12) = price reduced

Solving

price reduced = $12 - $2.16

price reduced = $9.84

The new price of the DVD with the price reduced by 18% is $9.84

Answer: symmetric or reflexive

Step-by-step explanation:

I'm not forsure but I believe that these are the two options bc the other two aren't forsure sorry dude I'm trying :0

Answer:

DNE.

Step-by-step explanation:

8x - 2y = 1 ---------------------(1)

-4x+ y  = 3----------------------(2)

Multiply (2) by 2

-8x +2y    = 6 -----------------(3)

Add (1) to (3)

8x - 2y + (- 8x + 2y) = 1+6

8x - 2y - 8x +2y  = 7

But all the terms in LHS cancel out, leaving 0.

So you get 0=7, which is not valid.

Therefore no solution exists. DNE

There is no solution to the system of equations.

To solve the system of equations:

8x - 2y = 1

-4x + y = 3

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Answer:

82.6%

Step-by-step explanation:

Conditional probability is defined as:

P(A|B) = P(A∩B) / P(B)

where P(A|B) is the probability of A on the condition of B, P(A∩B) is the probability of both A and B, and P(B) is the probability of B.

Here, we want P(P|K), so:

P(P|K) = P(P∩K) / P(K)

P(P|K) = 0.019 / 0.023

P(P|K) = 0.826

82.6% of the members in the key club are also enrolled in AP Physics.

Answer:

vertical translation of - 6

Step-by-step explanation:

given f(x) = 3x + 3

then f(x) + c is a vertical translation of f(x)

• If c > 0 then a shift of c units up ↑

• If c < 0 then a shift of c units down

shift from + 3 to - 3 is a vertical shift of 6 units down

ANSWER

[tex]y = {( - x)}^{3} - 4[/tex]

EXPLANATION

The parent or base function is

[tex]y = {x}^{3} [/tex]

This function has its y-intercept at the origin.

It has been transformed vertically so that its y-intercept is now at -4.

This is a transformation of the form

[tex]y = {x}^{3} - k[/tex]

where k=4.

The function is also reflected in the x-axis.

The new function is

[tex]y = {( - x)}^{3} - 4[/tex]

The new function is

a) [tex]y = {( - x)}^(3) - 4[/tex]

The parent or base function is

[tex]y = {x}^(3)[/tex]

This function has its y-intercept at the origin.

It has been transformed vertically so that its y-intercept is now at -4.

This is a transformation of the form

[tex]y = {x}^(3) - k[/tex]

where k=4.

The function is also reflected in the x-axis.

The new function is

a) [tex]y = {( - x)}^(3) - 4[/tex]

Answer:

60 percent.

Step-by-step explanation:

Answer:

2nd number line

Step-by-step explanation:

When there is an absolute value inequality of the form  |x+a| ≥ b,

We can say that the solution set (in a number line) would be:

Keeping these points in mind,

|x+3| ≥ 2

we start from x = -3

we go 2 units left and right, so we arrive at x = -5 and x = -1

then we draw arrows to both sides

looking at the choices, we see 2nd answer choices (graph) portrays it correctly.

Answer:

b

Step-by-step explanation:

Like last time, we substitute in each one until we find one we see can't work, or just look at them and choose the one that doesn't look right.

D in this case doesn't look right, so we can substitute it in:

-8+8=8

That isn't true, that equation would equal 0.

Hope I helped (again), sorry if I'm wrong!

~Mschmindy

D. (-2,4) is the answer?

The area is 10 :) hope that helps

Edit:

Reason:

(a+b)/2 * h is the formula plug in the numbers and you get:

(4+6)/2 * 2

10/2 * 2

5 * 2

= 10 feet.

Answer: Im pretty sure A. x=-6 and y=-4

Answer:

X= -6

Y=-4

Is the Answer A

12.5° or 13° depends how your teacher wants the answer. 4x-2 = 48

4x = 50

X = 12.5°

From the diagram, since[tex]$\angle AHK$[/tex]  and [tex]$\angle EHB$[/tex]  are supplementary angles, we have [tex]m\angle AHK + m\angle EHB = 180^\circ$.[/tex]

Substituting in the values that are given, we get [tex]48^\circ + (4x-2)^\circ = 180^\circ$.[/tex] Solving for x, we get [tex]$x = \boxed{33.5}$.[/tex]

From the diagram, we see that angles [tex]$\angle AHK$[/tex] and [tex]$\angle EHB$[/tex]  are supplementary angles.

Therefore, we have the equation [tex]m\angle AHK + m\angle EHB = 180^\circ$.[/tex]

Substituting in the values that are given, we get [tex]48^\circ + (4x-2)^\circ = 180^\circ$.[/tex]

Simplifying both sides of the equation, we get [tex]4x-2 + 48 = 180$.[/tex]

Subtracting 46 from both sides of the equation, we get [tex]4x = 134$.[/tex]

Dividing both sides of the equation by 4, we get

[tex]x = \boxed{33.5}$.[/tex]

For similar question on supplementary angles.

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I am pretty sure your test score has to be an 86.

Answer:

100

Step-by-step explanation:

Let the unknown score be x.

To find the average, you add all the scores and divide by the number of tests. Let's add all the scores including x:

89 + 95 + 76 + x = 260 + x = x + 260

All 4 scores, including the unknown one, add to x + 260.

To find the average, you divide the sum of the scores by the number of grades, which is 4 in this case.

The average is

(x + 260)/4

You want the average to be 90, so set the average equal to 90 and solve for x.

(x + 260)/4 = 90

Multiply both sides by 4.

x + 260 = 360

Subtract 260 from both sides.

x = 100

You must get a 100 on the next test.

(Start studying now!)

Answer:

Step-by-step explanation:

The domain of this relation includes one each of the various x-values:  {4, 5, 6, 8}; do not included 4 twice.

The domain is the x’s

Answer:

18 points

Step-by-step explanation:

We first need to find the percent increase for both Iliana an Fiona.

To do so, we take the absolute value of difference (the score increase) and we compare/divide it by the original score they had.

So, for Iliana, we have a starting score of 65 and an increase of 21 (86-65).

Her percent of increase is 21/65 = 32.3%

For Fiona, she went from 70 and had a 10 points increase (80-70).

Her percent of increase is 10/70 = 14.3%

The difference between the two percent of increase is 18 points (32.3 - 14.3)

Answer with Step-by-step explanation:

Percentage increase in score is calculated by the formula:

[tex]\dfrac{New\ score-Old\ score}{Old\ score}\times 100[/tex]

Iliana’s math grade increased from 65 to 86.

Percentage increase in Iliana's score is:

[tex]\dfrac{86-65}{65}\times 100[/tex]

=[tex]\dfrac{21}{65}\times 100[/tex]

=32.31%

Fiona’s math grade increased from 70 to 80.

Percentage increase in Fiona's score is:

[tex]\dfrac{80-70}{70}\times 100[/tex]

=[tex]\dfrac{10}{70}\times 100[/tex]

=14.28%

Difference between percentage increases=32.31%-14.28%

                                                                       = 18.03%

Hence, difference, rounded to the nearest whole number, between the approximate percent increases is:

18%

Answer:

Number 7 is phototropism due to the growth towards the sun and number 8 is Mitochondria as it provides atp which is currency for energy

7 is B

8 is A

Hope this helps :)

im not sure but pie is 3.14

The answer is:

When the domain is -3, the range is -13.

To solve the problem, we need to remember that the domain is also known as the input of the function, and the range of the function is also known as the output of the function.

We are given the inputs and we are asked to calculate the output of the function at -3, so, evaluating -3 into the function, we have:

[tex]y=3x-4\\f(x)=3x-4\\f(-3)=3*(-3)-4=-9-4=-13\\[/tex]

Hence, we have that when the domain is -3, the range is -13.

Have a nice day!

Answer:

B

Step-by-step explanation:

There are two outliers, indicating very few books were rented out on those two days.

outlier: a person or thing situated away or detached from the main body or system. Since there are only two smaller numbers those are considered the outliers.

There are two outliers in this data set, indicating very few books were rented out on those two days. These outliers, 10 and 9, are significantly lower than the other data points and can skew the mean and standard deviation.

To analyze outliers in a data set, we first need to understand that an outlier is a data point that is significantly different from the other points. In this data set, most of the numbers are close to 90, while two numbers stand out, 10 and 9. These numbers are significantly lower than other values.

From this, we can conclude that:

It's important to also note that the presence of outliers can often have a significant effect on the mean and standard deviation of the data set. So, in this case, the mean number of books rented per day and the variability (standard deviation) might be skewed by these outliers.

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A triangular prism is a prism composed of two triangular bases and three rectangular sides

Answer:

Step-by-step explanation:

4 1/2

Answer:

4 1/2

Step-by-step explanation:

18/4 = 4.5

4.5 = 4 1/2

Answer: Translated (Option C)

Step-by-step explanation:

Two similar triangles  RST was then dilated, to create triangle ZXY.

For dilation, translation should be done.

Dilation is a transformation, which is used to resize the object. Dilation is used to make the objects larger or smaller. This transformation produces an image that is the same as the original shape.

As, ΔRST was dilated to form ΔZXY.

But, this can be done by translation , to create ΔZXY

The following information:

Since Triangle ΔZXY is slightly higher and to the right of triangle ΔRST.

So it should be translated.

so, that it could be dilated for ΔZXY.

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Answer:

36 cups

Step-by-step explanation:

every 20 minutes you make 12 cups. 20×3=60, which is 1 hour. You will meed to make 3 pots of coffee that are 12 cups each, 3×12=36

The cups would you serve per hour is 36.

We have given that,

In your job at a restaurant, you made a 12-cup pot of coffee at 7:20 a.m. By 7:40 a.m.

one hour contains a 60 inutes

That is the 1 hour=60 minutes.

Every 20 minutes you make 12 cups.

20×3=60, which is 1 hour.

You will need to make 3 pots of coffee that are 12 cups each

3×12=36

Therefore, the cups would you serve per hour is 36.

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Answer:

100% - 30% = 70%

70% = 0.7

6.30 / 0.7 = $9

answer: original price of the books were $9

Answer:

original price of the books was $ 9.

Step-by-step explanation:

Given: A book store is having a 30% off sale. Dairy of the wimpy kid books are now $6.30 each.

To find : What was the original price of the books.

Solution : We have given that discount = 30%

Cost percent 100% - 30% = 70%

Cost of each book after discount =  $6.30.

Let us consider the original price of book = x

x * 70% = $6.30.

x * [tex]\frac{70}{100}[/tex] = $6.30.

On multiplying by 100 both sides

x *70 = 6.30 * 100.

x * 70 =  630.

On dividing both sides by 70

x = [tex]\frac{630}{70}[/tex].

x = $ 9 .

Therefore, original price of the books was $ 9.

Answer:

Prime numbers are whole numbers that multiply itself by 1 and they cannot be multiplied by other numbers.

Some examples of prime numbers would be: 1, 2, 3, 5, 7...

Answer:D

Step-by-step explanation:

You subtract 8-3 which is 11c and then you add 2 to 6 which is 8

Answer:

5c+5, A

Step-by-step explanation:

This is because 8c is combined with the negative 3c to make 5 c. 6 c is combined with negative 2 to creat positive 4.

Length: 2w - 5

Width: w

2(2w - 5) + 2w = 44

Distribute:

4w - 10 + 2w = 44

Combine like terms:

6w - 10 = 44

Move 10 to the other side:

6w = 54

Divide by 6:

w = 9, which is the width. That means that 13 is the length.

To find the dimensions of the rectangle, we can set up a system of equations and solve for the width and length. By using the formula for the perimeter of a rectangle, we can find the values of the dimensions.

To solve this problem, we can set up a system of equations based on the given information. Let's assume that the width of the rectangle is 'w', and since the length is 5 less than double the width, we can express the length as '2w - 5'. The perimeter of a rectangle is given by the formula 2(length + width), so we can use this formula to set up an equation:

2(2w - 5 + w) = 44

Simplifying this equation, we get 6w - 10 = 44. Solving for 'w', we find w = 9. Substituting this value back into the expression for the length, we find the length is 13.

Therefore, the dimensions of the rectangle are width = 9 and length = 13.

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Answer:

Yes its true its a straight line

Answer:

16

Step-by-step explanation:

To find the term needed, use the binomial formula.

[tex](a+b)^2 = a^2 + 2ab + b^2[/tex]

Let 8x = 2ab, a is by default x, which leaves us with:

8x = 2xb

8 = 2b

b = 4

And by the binomial formula add [tex]b^2[/tex] to both sides, namely 16.

[tex]x^2 + 8x + 16 = 17 + 16\\(x+4)^2 = 33[/tex]