A calzone is divided into 24 equal pieces. Sophie and Glenn each ate one-fourth
of the calzone on Saturday. The next​ day, Glenn ate one-sixth
of the calzone that was leftover. How many of the pieces of the original calzone ​remain? Explain your reasoning.

Answer:

25L

Step-by-step explanation:

19396.5 km - 19034.0 km = 362.5‬ km travled

362.5 km / 14.5 km/L = 25L

Answer:

The mean and standard deviation of the number of trials where the contestant guesses correctly are 12.50 and 3.062.

Step-by-step explanation:

Total number of cards presented to the contestants, N = 4.

Number of cards that has a star printed on it is, x = 1.

The probability of selecting the correct card is:

[tex]P(X)=\frac{x}{N}=\frac{1}{4}=0.25[/tex]

It is provided that each contestant attempts to identify which card has the star on it for a series of n = 50 trials.

Each trial's outcome is independent of other outcomes.

The success of each trial is denoted by the correct selection of the card with a star.

The random variable X can be explained by the Binomial distribution.

So, X follows a Binomial distribution with parameters n = 50 and p = 0.25.

The mean and standard deviation of a Binomial distribution are:

[tex]\text{Mean}=np\\\\\text{SD}=\sqrt{np(1-p)}[/tex]

Compute the mean and standard deviation of the number of trials where the contestant guesses correctly as follows:

[tex]\text{Mean}=np=50\times 0.25=12.50\\\\\text{SD}=\sqrt{np(1-p)}=\sqrt{50\times 0.25\times (1-0.25)}=3.062[/tex]

Thus, the mean and standard deviation of the number of trials where the contestant guesses correctly are 12.50 and 3.062.

[tex]N = 4[/tex] is the overall number of points distributed to the contestant, [tex]x = 1[/tex] reflects the number of decks with a star on them. The probability of selecting the correct card is as follows:

         [tex]\to P(X)=\frac{x}{N}=\frac{1}{4}=0.25[/tex]

         [tex]\to \text{Mean =np}\\\\\to \text{SD}=\sqrt{np(1-p)}\\\\[/tex]

         [tex]\to \text{Mean =np}= 50 \times 0.25= 12.5\\\\[/tex]

             [tex]\to SD=\sqrt{np(1-p)}[/tex]

                        [tex]=\sqrt{50 \times 0.25 \times (1-0.25)}\\\\=\sqrt{50 \times 0.25 \times (0.75)}\\\\= \sqrt{12.5 \times 0.75}\\\\=\sqrt{9.375}\\\\=3.061[/tex]

As just a result, the standard deviation of the number most right guesses by the competitor are [tex]12.50 \ \ and\ \ 3.061[/tex], correspondingly.

Learn more about the contestant guesses:

brainly.com/question/1302166

Answer: 657,720

Step-by-step explanation:

If each person can have only one role, we have that:

For the Editor selection we have 30 possible options

for the pothograper we have 29 options, because we already selected one

for the designer we have 28 options

for the advisor we have 27 options

the total number of combinations is the product of the options for each selection;

C = 30*29*28*27 = 657,720

Answer:

Step-by-step explanation:

P=2(a+b)

2(26+25)

=102 ans

Answer:

102 cm

Step-by-step explanation:

P=2(a+b)

P = 2(26+25)

= 2 * 51

= 102

Answer:

Check the explanation

Step-by-step explanation:

Kindly check the attached image below to see the step by step explanation to the question above.

Answer:

6

Step-by-step explanation:

x=3

2x = 2(3) = 6

Answer: f(x) = 4  if -1 ≤x ≤ 1

f(x) = x - 1 if 3≤ x ≤ 5

Step-by-step explanation:

if -1 ≤x ≤ 1

We can see that in this range the function is constant, f(x) = 4

if 3≤ x ≤ 5

In this region we can see a linear relationship, with the points (3, 2) and (5, 4)

as the extremes, we can find the slope of this linear equation as:

s = (4 - 2)/(5 - 3) = 2/2 = 1

So our equation is

f(x) = 1*x + b

to find the value of b we can evaluate our function in the first point, we know that when x = 3, y = 2, so we have:

2 = 1*3 + b

b = 2- 3 = -1

then f(x) = 1*x  - 1

Then we have:

f(x) = 4  if -1 ≤x ≤ 1

f(x) = x - 1 if 3≤ x ≤ 5

Answer:

true

Step-by-step explanation:

x=3

The value of the variable x is 3. Then the equation is always true.

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.

The linear equation is given below.

(2/3)x + 4 = 2x

Simplify the equation, then the value of x will be

2x + 12 = 6x

4x = 12

x = 3

The value of the variable x is 3. Then the equation is always true.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

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Answer:

90 cm.

Step-by-step explanation:

One airplane propeller needs 18 centimetres of wood.

Josh wants to make 5 of them.

So, we would have to take the '18' centimetres of wood and multiply by 5 to get the total for all 5 pieces.

[tex]\text{Number of Propellers} * 18 \text{ Centimetres}[/tex]

[tex]5 * 18 = 90[/tex]

Josh should need 90 centimetres of wood total to make 5 airplane propellers.

Answer:

6

Step-by-step explanation:

The area of a parallelogram is

A = bh

A = 5*h

30 = 5h

Divide each side by 5

30/5 =5h/5

6 =h

The formula for the area of a parallelogram is A = bh.

Since we know the parallelogram has an area of 30 units and a height of 5 units, we can plug this information into the formula to get 30 = 5h.

Now, dividing both sides of the equation by 5, we find that 6 = h.

So the height of this parallelogram is 6 units.

Answer:

I hope this helps. Have a great rest of your day!

Do you mind showing the answer choices? I just realized you had "Choose 2 answers".

Answer:

-2 & 1/3

Step-by-step explanation:

When you set the two equations equal to each other, they form to parallel, vertical lines. They cross the x-axis at -2 and 1/3. Hope this helps.

Answer:

Step-by-step explanation:

If Sam subtracts 17 elephants from his collection, he has 339 stuffed animals that are 2/3 elephants and 1/3 cats.

The number of cats is 339/3 = 113.

The number of elephants is 356 -113 = 243 = 2·113 +17.

Sam has 113 cats and 243 elephants.

Answer:

Napoleon Bonapart was a French statesman and military leader who rose to prominence during the French Revolution and also led several successful campaigns during the French Revolutionary Wars. He was Emperor of the French as Napoleon I from 1804 until 1814 and again briefly in 1815 during the Hundred Days. Napoleon dominated European and global affairs for more than a decade while leading France against a series of coalitions in the Napoleonic Wars. He won most of these wars and the vast majority of his battles, building a large empire that ruled over much of continental Europe before its final collapse in 1815. He is considered one of the greatest commanders in history, and his wars and campaigns are studied at military schools worldwide. Napoleon's political and cultural legacy has endured as one of the most celebrated and controversial leaders in human history.

Answer:

35 yards

Step-by-step explanation:

20yd+15yd

you add 20yd and the 15yd and that is your area.

Answer:

The experimental probability depends on how many times you're spinning it and theoretical probability is stating what "would" happen if you're only spinning it once. After you get the theoretical probability, you would multiply that percentage by 25 to get the experimental probability percentage.

Step-by-step explanation:

The experimental probability depends on the number of times the experiment is conducted. The result from a theoretical probability is what would happen if the experiment is done once.

Probability determines how likely a stated event would occur. The probability the event occurs is 1 and the probability that the event does not occur is 0. Experimental probability is based on the result of an experiment that has been carried out multiples times

To learn more about probability, please check: brainly.com/question/13234031

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Answer:

  (-2.25, 1.5)

Step-by-step explanation:

If dilation is about the origin, each of the coordinates is multiplied by the dilation factor:

  P' = (3/8)P = 3/8(-6, 4) = (-18/8, 12/8)

  P' = (-2.25, 1.5)

Answer:

127 student tickets

Step-by-step explanation:

16x + 9y = 4983

x = 240, so substitute that in.

16(240) + 9y = 4983

3840 + 9y = 4983, substract 3840 from both sides

9y = 1143, then divide both sides by 9

y = 127 student tickets

Answer: 16x + 9y = 4983

240 general admission tickets and 127 student tickets

Step-by-step explanation: If you already know that there are 240 general admission tickets and general admission tickets cost 16 dollars the multiply 16 times 240 to get 3840

then subtract 4983 - 3840 to get 1143 which is the money earned on students so now divide 1143 by 9 to get 127

hope this helps mark me brainliest if it did

Answer: Per 1/2 an hour it is changes by 5 so the constanT rate would be: 5 inches per 1/2 an hour

Answer: 160 times

Step-by-step explanation:

Answer:

  x = 2

Step-by-step explanation:

A graph shows the axis of symmetry easily. It is the x-coordinate of the vertex.

  x = 2

__

You can rearrange the equation to ...

  y -7 = 4x -x^2

  y -7 = x(4 -x)

The axis of symmetry is halfway between x-values that give the same y-value. Here, y=7 for x=0 and for x=4. That is, the right side of this equation is zero at those x-values. The axis of symmetry is halfway between, at x = (0+4)/2 = 2

The axis of symmetry is x=2.

_____

Alternate solutions

In standard form,

  ax^2 +bx +c = y

the axis of symmetry is ...

  x = -b/(2a)

Putting this equation into that form, we have ...

  -x^2 +4x +7 = y

  x = -(4)/(2(-1))

  x = 2 . . . . axis of symmetry

__

We can rearrange the equation to vertex form.

  y -7 = -x^2 +4x

  y -7 -4 = -(x^2 -4x +4) . . . . . add the square of half the x-coefficient inside parentheses. Add an equal amount to the other side of the equation.

  y -11 = -(x -2)^2

This tells us the vertex of the graph is (2, 11), so the axis of symmetry is x=2.

Answer:

The tilt of the axis of Earth and orbit of Earth around the sun.

Step-by-step explanation:

Answer options

The rotation of the Earth and sun.

The tilt of the axis of Earth and orbit of Earth around the sun.

The orbit of the Earth around the sun and rotation of the Earth.

The orbit of the Earth around the sun and rotation of the sun.

Answer:

C - The orbit of the Earth around the sun and rotation of the Earth.

Step-by-step explanation:

Answer:

:P

Step-by-step explanation:

Answer:

The cutoff rate that would separate the highest 2.5​% of currency​ A/currency B​ rates is 1.92.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 1.832

Standard deviation = 0.044

Top 2.5%

95% of the measures are within 2 standard deviation of the mean.

Since the normal distribution is symmetric, this 95% goes from the 50 - 95/2 = 2.5th percentile to the 50 + 95/2 = 97.5th percentile.

The 97.5th percentile is the cutoff for the highest 2.5% of currency​ A/currency B​ rates, and it is 2 standard deviations above the mean.

1.832 + 2*0.044 = 1.92

The cutoff rate that would separate the highest 2.5​% of currency​ A/currency B​ rates is 1.92.

Answer:

A. 6 inchesssssssss

Answer:

6

Step-by-step explanation:

Answer:

Step-by-step explanation:

1) The confidence interval is calculated as the following

[tex]CI = ( \bar x-1.96 \sigma ,\bar x=1.96 \sigmam)[/tex]

[tex]= (0.412-1.96 \times 0.094, 0.412 = 1.96 \times 0.094)\\\\= (0.22776, 0.59624)[/tex]

Hence, the confidence interval is [tex]0.22776 \leq \beta_G_P_A \leq 0.59624)[/tex]

11) Under two sid t-tailed test, the null hypothesis

[tex]H_0; \beta_{GPA}=0.4[/tex]

Against the alternative hypothesis

[tex]H_1 ; \beta _{GPA} \neq 0.4[/tex]

Under null hypothesis

[tex]t = \frac{\hat \beta _1 - \beta _1}{Se( \beta _1)} \\\\ =\frac{0.412-0.4}{0.094} \\\\=0.12766[/tex]

The degree of freedom is n - 1 = 140

From the t - table at 5% level of significance under two - tail is 1.96

Since , calculated value is lowe than the tabulated value, we do not reject the null hypothesis.

Answer:

  D. A translation of 4 units to the left followed by a dilation of a factor of 3

Step-by-step explanation:

Of the transformations, rotation, reflection, translation, dilation, the first three (rotation, reflection, translation) are known as "rigid" transformations. They do not change the shape or size of the object. Any result of a rigid transformation is congruent to the original.

Dilation, by its nature, changes the size of the object, so the result is NOT congruent to the original.

Choice D includes dilation, so the image is not congruent to the original.