Shelly runs 20 miles
in 140 minutes. To the
nearest tenth, what is
Shelly's pace in miles
per hour?
(Step by step please)

The number of people were 200 in the theater when it was full.

What is a theater?

In architecture, a theatre, usually spelled theatre, is a structure or area where a play can be conducted in front of spectators. The term comes from the Greek theatron, which means "a place of seeing." The actual performance usually takes place on a stage in a theatre.

Given that, the theater was full when the movie began.

76 people leave the theater before end the movie. At the end of the movie, there is 124 people left.

Apply algebraical operation that is addition to find the required answer.

Therefore, the number of people that was present at the beginning of the movie is (76 + 124) = 200.

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Rounding the answer to two decimal places, the relative frequency of students with red hair among the sample population of students with gray eyes is approximately 0.63. Option D

To find the relative frequency of students with red hair among the sample population of students with gray eyes, we need to divide the number of students with gray eyes and red hair by the total number of students with gray eyes.

From the given table, we can see that there are 22 students with gray eyes and red hair.

The total number of students with gray eyes is the marginal total for gray eyes, which is 35.

To find the relative frequency, we divide the number of students with gray eyes and red hair by the total number of students with gray eyes:

Relative frequency = Number of students with gray eyes and red hair / Total number of students with gray eyes

Relative frequency = 22 / 35

Simplifying the fraction, we have:

Relative frequency = 0.6286

Rounding the answer to two decimal places, the relative frequency of students with red hair among the sample population of students with gray eyes is approximately 0.63.

Therefore, the correct answer is option OD) 0.63.

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Thus, the probability that 3 black balls will be eliminated before 5 white balls: 0.0069.

A probability is a measurement of the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ran from 0% to 100% can be used to describe probabilities.

Given data:

while balls in urn: 10

Black balls: 5

Total balls : 5 + 10 = 15 balls.

probability = favourable outcome / total outcome

all balls are taken without replacement.

probability (1st ball comes white) = 10/15 = 2/3

probability (2nd ball comes white) = 9/14

probability (3rd ball comes white) = 8/13

probability (4th ball comes white) = 7/12

probability (5th ball comes white) = 6/11

Now, probability (1st ball comes black) = 5/10 = 1/2

probability (2nd ball comes black) = 4/9

probability (3rd ball comes black) = 3/8

Probability that 3 black balls will be eliminated before 5 white balls:

=  2/3 * 9/14 * 8/13 * 7/12* 6/11 * 5/10 * 4/9 * 3/8

= 362880 / 51891840

=  0.0069

Thus, the probability that 3 black balls will be eliminated before 5 white balls: 0.0069

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Answer:

The one that's include a rows 2 1 1 2

Answer:

A

Step-by-step explanation:

they wanted the reduced echelon form.

On Edge. btw

\(12x^{3} - {9x}^{2} + 4x - 3 = \\ = 3 {x}^{2} (4x - 3) + 1(4x - 3) = \\ = (4x - 3)( {3x}^{2} + 1)\)

Answer:4x+15

Step-by-step explanation: PEMDAS. First you multiply 12x3 and 9x2 so you get 36-18. Then you subtract 18 from 36 leaving you with 18. Then you combine 18 and -3, leaving you with 4x-15.

Answer:

4

Step-by-step explanation:

2/3÷1/6

Flip the 1/6 to make it a reciprocal and then multiply

2/3•6/1

simplify by crossing out

2•2 =4

To find out if Omar made a mistake, we must solve the equation step by step.

Step 1

Step 2

Simplify the final part in step 1

Since, we have gone through all the steps and gotten exactly the same steps and solution as Omar, we can conclude that Omar did not make a mistake.

The total amount of time spent by Joey and his family on their visit to Mount Rushmore in South Dakota is 75 minutes.

Let us assume the total time spent by Joey and his family is x. So, the time spent in watching a movie is 1/5 of the total time. Rewriting this as a mathematical expression -

1/4×1 = 1/5×x

We know 1 hour is 60 minutes. So, replacing 1 with 60.

1/4×60 = x/5

Rewriting the equation according to x

x = (60×5)/4

Performing multiplication and division on Right Hand Side of the equation

x = 75

Thus, they spent 75 minutes at Mount Rushmore.

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Answer:

y-2=1/8(x+5)

Step-by-step explanation:

1. Perpendicular lines have opposite slopes. To get the new slope, take the slope of the first line and turn it to make it the opposite reciprocal.

Since it's -8, the opposite of it is 1/8.

2. Now, use point slope: y-y1=m(x-x1). Plug in the values of the ordered pair and the slope into the equation.

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

And that's your answer

Answer:

37

Step-by-step explanation:

Before we find quartile, we have to arrange the data set in order first from least to greatest which this problem has already arranged the data for us.

Next, proceed with the calculation. The formula for finding position of quartile is:

\(\displaystyle{Q_r = \dfrac{r(N+1)}{4}}\)

Where \(\displaystyle{Q_r}\) means the rth quartile, N means number of data set. Since we want to find the third quartile, substitute r = 3 and there are 11 data so substitute N = 11:

\(\displaystyle{Q_3 = \dfrac{3(11+1)}{4}}\\\\\displaystyle{Q_3 = \dfrac{3(12)}{4}}\\\\\displaystyle{Q_3 = 3\cdot 3}\\\\\displaystyle{Q_3 = 9}\)

So the position of third quartile is at 9th position which is 37.

Henceforth, the third quartile is 37.

Answer:

37.

Step-by-step explanation:

The data is in ascending order, which is what we need to get the answer.

As there are 11 numbers the 9th number is the upper(third)  quartile.

The median ( middle) number is 29 and the upper quartile is the middle number of the 5 numbers to the right of the median.

It is 37.

The number of ways that the spinner can be colored is 21 ways.

Combinations are also referred to as selections. Combinations implies the selection of things from a given set of things. In this case, we intend to select the objects.

Combination formula

nCr = n! / ((n – r)! r!)

n = the number of items.

r = how many items are taken at a time.

Based on the information given, the number of ways will be to select 2 out of 7. This will be:

= 7! / (7 - 2)!2!

= 7! /5!2!

= (7 × 6) / 2

= 42/2

= 21

There'll be 21 ways.

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Answer:

the anser is 36.6 gallos of weeding in the w

Step-by-step explanation:

English literature refers to the body of written or literary works composed in the English language.

It encompasses a wide range of literary genres, styles, and periods, and it has a rich and diverse history that spans centuries.

English literature includes literary works originating from countries like England, the United States, Canada, Australia, and other English-speaking regions.

English literature plays a significant role in the cultural and literary heritage of English-speaking societies, and its influence extends globally. Studying English literature allows individuals to explore different themes, ideologies, and literary techniques while gaining insights into the human condition across various historical and cultural contexts.

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Then 62.5% of the campers at the Wild Outdoors camp this morning will be horseback riding

To find the percentage of campers that will be horseback riding, we need to first add the ratio together to get the total number of parts. In this case, the ratio of horseback riding to canoeing is 5:3, so there are 5 + 3 = 8 parts in total.

To find the percentage of campers that will be horseback riding, we divide the number of parts for horseback riding by the total number of parts, then multiply by 100 to get the percentage.

So, 5 parts out of 8 parts are for horseback riding. This is equivalent to 5/8 or 0.625 as a decimal. To find the percentage, we multiply by 100, which gives us 62.5%.

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Answer:

the answe will be -71 I think

sorry if I got it wrong

The vertices of the reflected square.

Let's calculate them:

A' = (-0.914, 3.914)

B' = (-2.828, 5.828)

C' = (-0.086, 7.086)

D' = (1.828, 5.172)

The vertices of the image of the square ABCD after reflecting it about the line through (0, 0) and (-2, 2), we can use the following steps:

Find the equation of the reflection line:

The reflection line passes through (0, 0) and (-2, 2).

We can calculate the slope (m) of the line using the formula (y2 - y1) / (x2 - x1):

m = (2 - 0) / (-2 - 0) = 2 / -2 = -1.

Using the point-slope form of a line (y - y1) = m(x - x1), we can use either of the given points to write the equation of the line:

y - 0 = -1(x - 0)

y = -x.

Find the midpoint of each side of the square:

The midpoints of the sides of a square are also the midpoints of its diagonals.

The midpoint of AB is ((4+6)/2, (3+4)/2) = (5, 3.5).

The midpoint of BC is ((6+5)/2, (4+6)/2) = (5.5, 5).

The midpoint of CD is ((5+3)/2, (6+5)/2) = (4, 5.5).

The midpoint of DA is ((3+4)/2, (5+3)/2) = (3.5, 4).

Reflect the midpoints about the line:

To reflect a point (x, y) about the line y = -x, we can find the perpendicular distance (d) from the point to the line and use it to determine the reflected point.

The perpendicular distance d from the line y = -x to a point (x, y) is given by the formula:

d = (y + x) / √(2).

The coordinates of the reflected points can be found using the formula for reflection across a line:

x' = x - 2d / √(2)

y' = y - 2d / √(2).

Calculate the reflected vertices:

The coordinates of the reflected vertices are as follows:

A' = (4 - 2(3.5 + 5) / √(2), 3 - 2(3.5 - 5) / √(2))

B' = (6 - 2(5 + 5) / √(2), 4 - 2(5 - 5) / √(2))

C' = (5 - 2(5.5 + 5) / √(2), 6 - 2(5.5 - 5) / √(2))

D' = (3 - 2(4 + 5) / √(2), 5 - 2(4 - 5) / √(2))

Now we can plot the original square ABCD and its image A'B'C'D' on the same graph to visualize the reflection.

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Answer:

10

Step-by-step explanation:

y = 4x - 3

37 = 4x - 3

40 = 4x

x = 10

Answer:

10

Step-by-step explanation:

.....

Answer:

they either scored 18 or 9 points from the field goals but i think it is the 9 point if i'm wrong then it is the other one

Step-by-step explanation:

Answer:

3x3=9

Step-by-step explanation

The answer is 9 because the field goal is worth 3 points per goal and 3 x 3 =9

Answer:

Step-by-step explanation:

Given the system of equation

3x1 − 2x2 + x3 = −10 ............. 1

2x1 + 6x2 − 4x3 = −10 ............ 2

−8x1 − 2x2 + 5x3 = −26  ............... 3

Reduce the system of equations:

multiply equation 1 by 3 and add to 2

Eqn 1 * 3 gives;

9x1 − 6x2 + 3x3 = −30

Add to equation 2:

9x1+2x1 +(3x3-4x3) = -30-10

11x1 - x3 = -40 ........... 4

multiply eqn 3 by 3 and add to eqn 2

eqn 3 * 3 gives

−24x1 − 6x2 + 15x3 = − 78

Add to eqn 2:

-24x1+2x1)+15x3-4x3 = -78-10

-22x1 + 11x3 = -88 ......... 5

solve 4 and 5:

11x1 - x3 = -40 ........... 4 * 2

-22x1 + 11x3 = -88 ......... 5 * 1

.....................................................

22x1 - 2x3 = -80

-22x1 + 11x3 = -88

Add together:

-2x3 + 11x3 = -80-88

9x3 = -168

x3 = -168/9

x3 = 18.7

subtitute x3 = 18.7 into 4

11x1 - 18.7 = -40

11x1 = -40+18.7

11x1 = -21.3

x1 = -21.3/11

x1 = -1.93

Substitute x1 and x3 into 1

3(-1.93)− 2x2 + 18.7 = −10

- 5.79-2x2 = -28.7

-2x2 = -18.7 +5.79

-2x2 = -22.91

x2 = 11.455

The statement indicates that when a set X is partitioned, each partition forms an  parity relation by grouping together  rudiments that are considered original within each subset, thereby creating distinct and non-overlapping subsets within the original setX.  

The statement" each partition P of X defines an  parity relation on X" means that when a set X is divided into non-overlapping subsets or partitions, each partition creates an  parity relation on the original set X.

An  parity relation is a relation that satisfies three  parcels reflexivity,  harmony, and transitivity.  In the  environment of partitions, when a set X is divided into subsets, each partition forms an  parity relation by grouping together  rudiments that partake a common characteristic or property.

Within each partition, the  rudiments are considered original or affiliated to each other, and they're distinct from  rudiments in other partitions.  The meaning of" each partition P of X" refers to every possible way of dividing the set X intonon-overlapping subsets.

It implies that different partitions may  live grounded on different criteria or conditions for grouping  rudiments.

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1) We have here a right triangle, so we can use the Pythagorean Theorem to find the adjacent leg. Note that the hypotenuse is leg opposite to the right angle. In this case, a=4.

a²=b²+c²

4²=b²+3²

16=b²+9

16-9=b²

b=√7

2) Let's find the trigonometric functions. The first one is the sine (θ), which relates the opposite side and the hypotenuse:

2.2)Moving on, we can deal with the tangent of theta, relating the opposite side over the adjacent, for this one we have to rationalize it:

Finally, let's find the reciprocal function of the cosine function by setting this as the reciprocal of the cosine, and then calculating it:

Answer:

y22

Hope that helps:)

x=8.

\(m=\frac{y_{2}- y_{1} }{x_{2} -x_{1} }\)

Say (x, 2) is pair 1 and (6, 3) is pair 2. Hence:

\(x_{1} =x;\\\\ y_{1} =2;\\ \\x_{2} =6;\\\\ y_{2} =3\\ \\m=-\frac{1}{2}\)

\(-\frac{1}{2} =\frac{3- 2 }{6 -x }\)

\(-\frac{1}{2} =\frac{1 }{6 -x }\\ \\-\frac{2}{1}=\frac{6 -x}{1 }\\ \\-2=6-x\\ \\6-x=-2\\\\-x=-2-6\\ \\-x=-8\\\\(-1)-x=-8(-1)\\ \\x=8\)

(8, 2).

Answer:

the answer is $21, 400

Step-by-step explanation:

Answer:

The answer is C

Step-by-step explanation:

Because... if you start in point A and do what C say it will bring you to the same point as the second triangle

Hopes this helps❤️

Answer:

We conclude that the true average weight loss for the vegan diet exceeds that for the control diet by more than 1 kg.

Step-by-step explanation:

We are given that an article reported on the results of an experiment in which half of the individuals in a group of 66 postmenopausal overweight women were randomly assigned to a particular vegan diet, and the other half received a diet based on National Cholesterol Education Program guidelines.

The sample mean decrease in body weight for those on the vegan diet was 6 kg, and the sample SD was 3.2, whereas, for those on the control diet, the sample mean weight loss and standard deviation were 3.8 and 2.4, respectively.

Let = true average weight loss for the vegan diet.

\(\mu_2\) = true average weight loss for the control diet.

So, Null Hypothesis, : 1 kg      {means that the true average weight loss for the vegan diet exceeds that for the control diet by less than or equal to 1 kg}

Alternate Hypothesis, : > 1 kg      {means that the true average weight loss for the vegan diet exceeds that for the control diet by more than 1 kg}

The test statistics that will be used here is Two-sample t-test statistics because we don't know about population standard deviations;

                            T.S.  =  \(\frac{(\bar X_1-\barX_2)-(\mu_1-\mu_2)}{s_p \times \sqrt{\frac{1}{n_1}+\frac{1}{n_2} } }\)   ~    \(t__n_1_+_n_2_-_2\)

where, = sample mean weight loss for the vegan diet = 6 kg

 = sample mean weight loss for the control diet = 3.8 kg

 = sample standard deviation weight loss for the vegan diet = 3.2 kg

 = sample standard deviation weight loss for the control diet = 2.4 kg

\(n_1\)  = sample of vegan diet women = 33

\(n_2\) = sample of control diet women = 33

Also, \(s_p=\sqrt{\frac{(n_1-1)\times s_1^{2}+(n_2-1)\times s_2^{2} }{n_1+n_2-2} }\)  = \(\sqrt{\frac{(33-1)\times 3.2^{2}+(33-1)\times 2.4^{2} }{33+33-2} }\) = 2.83

So, the test statistics =  \(\frac{(6-3.8)-(1)}{2.83 \times \sqrt{\frac{1}{33}+\frac{1}{33} } }\)  ~  \(t_6_4\)

                                    =  1.722  

The value of t-test statistics is 1.722.

Also, the P-value of the test statistics is given by;

               P-value = P(\(t_6_4\) > 1.722) = 0.0461 or 4.61%

Since the P-value of our test statistics is less than the level of significance as 0.0461 < 0.05, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region.

Therefore, we conclude that the true average weight loss for the vegan diet exceeds that for the control diet by more than 1 kg.

Answer:

Step-by-step explanation:

The amount Lila and Wassim plan to save is ...

  (£13 +13)(9) = £234

__

The charges they expect to incur are a per-person charge and a tent pitch charge. Since they expect to stay 10 nights, the special rate means they will only be charged for 8 nights.

per-person charge

  per-person-per-night charge = (2 persons)(8 nights)(£6 per person-night)

  = £96

tent pitch charge

To determine the tent pitch area required, we need to find the area of the tent:

  A = LW = (4.2 m)(2.3 m) = 9.66 m²

This is less than 10 square meters, so we can expect the pitch charge to be £15 per night for 8 nights.

  tent pitch charge = (£15/night)(8 nights) = £120

So, the total of camp site charges is expected to be ...

  person charge + pitch charge = £96 +120 = £216

__

The expected savings exceeds the expected charges by ...

  £234 -216 = £18

Lila and Wassim will have enough saved, with £18 extra.

Answer:

a

Step-by-step explanation:

Explanation:

Concept:

For a fraction to be un defined, the value ofthe denominator must be equal to zero

The rtional expression is given below as

By applying the concept, we will have that

Hence,

The final answer is

OPTION B is the correct answer

3 1/2 cups can be expressed as the multiplication expression: 3 + 1/2.

To express 3 1/2 cups as a multiplication expression using the unit "1 cup" as a factor, you can write it as:

3 1/2 cups = (3 + 1/2) cups = 3 cups + 1/2 cup

Since there are 1 cup in each term, we can rewrite it as:

3 cups + (1/2) cup

Now, we can express each term as a multiplication expression:

3 cups = 3 * 1 cup = 3

(1/2) cup = (1/2) * 1 cup = 1/2

Putting it all together, the multiplication expression is:

3 * 1 cup + (1/2) * 1 cup = 3 + 1/2

Therefore, 3 1/2 cups can be expressed as the multiplication expression: 3 + 1/2.

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