Claire's summer job is to mow lawns. The table shows the number of lawns she can mow in a certain number of days.

Answer:

x = 5.7 units

Step-by-step explanation:

By applying Sine rule is the triangle XYZ,

\(\frac{\text{SinX}}{\text{WY}}=\frac{\text{SinY}}{\text{WX}}=\frac{\text{SinW}}{\text{XY}}\)

\(\frac{\text{SinX}}{\text{x}}=\frac{\text{SinY}}{\text{y}}=\frac{\text{SinW}}{\text{10}}\)

\(\frac{\text{Sin33}}{\text{x}}=\frac{\text{SinY}}{\text{y}}=\frac{\text{Sin107}}{\text{10}}\)

\(\frac{\text{Sin33}}{\text{x}}=\frac{\text{Sin107}}{\text{10}}\)

\(x=\frac{10\times(\text{Sin33})}{\text{(Sin107)}}\)

x = 5.69

x ≈ 5.7 units

The system of Inequalities representing this situation is:x + y ≤ 50,

5x + 9y ≥ 65.

The variables:

Let x represent the number of children's tickets sold.

Let y represent the number of adult tickets sold.

We are given the following information:

- Jack can sell a maximum of 50 tickets, so the total number of tickets sold must be less than or equal to 50: x + y ≤ 50.

- The price of a children's ticket is $5, so the total revenue from children's tickets is 5x.

- The price of an adult ticket is $9, so the total revenue from adult tickets is 9y.

- Jack must make a minimum of $65, so the total revenue from ticket sales must be greater than or equal to $65: 5x + 9y ≥ 65.

Therefore, the system of inequalities representing this situation is:

x + y ≤ 50,

5x + 9y ≥ 65.

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Answer:

6/5

Step-by-step explanation:

He reads 1.2 page every 1 minute, 1.2X15(mins)=18 page.

Answer:

x + y = -12 + 30 = 18

Step-by-step explanation:

To solve this system of equations, we can use the elimination method. Multiplying the first equation by 3, we get:

9x + 3y = -18

Adding this to the second equation, we eliminate the x terms:

9x + 3y = -18

-3x - 4y = -12

-----------------

-y = -30

Solving for y, we get y = 30. Substituting this back into either equation, we can solve for x:

3x + 30 = -6

3x = -36

x = -12

Therefore, x + y = -12 + 30 = 18.

Answer:

q=-5

Step-by-step explanation:

8q+6=4q-14

Remove q from one side

8q+6=4q-14

-4q    -4q

4q+6=-14

Remove 6 from both sides

4q+6=-14

    -6   -6

4q=-20

Divide 4 to isolate q

4q/4=-20/4

q=-5

the radius is half of the diameter, so d = 2r , or double the radius :)

The -value of the test is 1.90. This indicates that the mean processing time is significantly greater than 5.5 hours, supporting the manufacturer's desire to set a standard time required by employees to complete a certain process

The t-value will be equal to 1.39 for the given statistics.

To test if the mean processing time exceeds 5.5 hours, we can use a one-sample t-test.

The null hypothesis is that the mean processing time is less than or equal to 5.5 hours:

H0: µ ≤ 5.5

The alternative hypothesis is that the mean processing time is greater than 5.5 hours:

Ha: µ > 5.5

We will use a significance level of 0.05.

The formula for the t-test statistic is:

t = (X - µ) / (s / √n)

Where:

X = sample mean

µ = hypothesized population mean

s = sample standard deviation

n = sample size

Substituting the given values, we get:

t = (6 - 5.5) / (2 / √21) = 1.386

The degree of freedom for the t-test is n-1 = 20.

Using a t-table or calculator, the p-value associated with a t-value of 1.386 and 20 degrees of freedom is 0.093.

Since the p-value (0.093) is greater than the significance level (0.05), we fail to reject the null hypothesis. Therefore, there is not enough evidence to suggest that the mean processing time exceeds 5.5 hours.

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The following picture represents an explanation to the given question:

CD represents the beacon

We need to find the distance AB

The measure of the angle C = 90

At the triangle BCD,

The measure of the angle CDB = 90 - 21 = 69

Using the sine law, we will find the length of BD

So,

At the triangle ABC

The measure of the angle CDA = 90 - 10 = 80

So, the measure of the angle ADB = angle CDA - angle CDB = 80 - 69 = 11

At the triangle ADB, using sin law:

substitute with the value of BD and CD s

So,

Rounding the answer to the nearest foot

So, the answer will be AB = 346 ft

Answer:

x = 4

Step-by-step explanation:

A line with undefined slope is a vertical line.

Vertical lines have equation in the form:

x = anumber

In this case they gave you the info you need (4,6) The 4 is the x and the 6 is the y. (4,6) is in the form (x,y).

So x is 4.

x = 4

Given that the number of angry people=12 and the number of chill peoples=8.

The total number of peoples=The number of angry people + the number of chill people.

The total number of people in juries=12+8=20

Let A be an event that made 12 members of juries consists of 7 chill and 5 angry people.

The probability of A =P(A)

Hence only one 12 member jury pool can be made that consist of 7 chill and 5 angry people.

Hence the answer is 1.

The factor that does NOT control the stability of a slope is the angle of repose for intact bedrock. The angle of repose refers to the steepest angle at which a pile of loose material remains stable without sliding. It is mainly applicable to loose materials like soil and granular substances, not intact bedrock.

Bedrock stability depends on factors such as its strength, fracturing, and geological properties, rather than the angle of repose. Factors that control the stability of a slope include whether the slope is rock or soil. Rock slopes tend to be more stable than soil slopes due to the cohesive nature of intact rock.

The amount of water in the soil also affects slope stability, as excessive water can increase pore pressure and reduce the shear strength of the soil, leading to slope failure. Additionally, the orientation of fractures, cleavage, and bedding in the rock can influence slope stability by creating planes of weakness or strength.

To summarize, while the angle of repose is a significant factor in slope stability, it is not applicable to intact bedrock. The stability of a slope is influenced by the type of material (rock or soil), the presence of water, and the orientation of fractures and bedding.

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Answer:

200 miles

Step-by-step explanation:

1 inch =25

8 inches=200

because 25*8=200

Step-by-step explanation:

y = 1/4 x

do you know what point coordinates are ?

they are "ordered pairs" of x and corresponding y values.

and do you know what a function is ?

a function "processes" an input x value and creates a corresponding y output value (the functions result).

a point is part of a function and on the graph of the function, if the x coordinate of the point leads to the y coordinate of the point as functional result of the function.

in other words, we take the x values and check, if the resulting y values are identical with the y coordinates.

(4, 1)

y = 1/4 × 4 = 4/4 = 1

match, this is a point on the graph.

(4, 0)

the same x value as before, leads to the same y value (1) as before. so, no match.

(8, 2)

y = 1/4 × 8 = 8/4 = 2

match, this is a point on the graph.

(0, 0)

y = 1/4 × 0 = 0

match, this is a point on the graph.

(1, 2)

y = 1/4 × 1 = 1/4

no match to 2. not a point on the graph.

(5, 6)

y = 1/4 × 5 = 5/4

no match to 6. not a point on the graph.

The coordinates where the fountain will be located is (2, 1/2)

From the question, we have the following parameters that can be used in our computation:

The center town forms a parallelogram with the vertices

A = (0, 4); B = (6, 1); C = (4, -3); D = (-2, 0)

The corner points when placed on a coordinate grid can be calculated using

Mid-point = 1/2(x1 + y1, x2 + y2)

So, we have

Center = 1/2 * (0 + 4, 4 - 3) or

Center = 1/2 * (6 - 2, 1 + 0)

Evaluate

Center = (2, 1/2) or Center = (2, 1/2)

Hence, the coordinates where the fountain will be located is (2, 1/2)

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Answer:

B) -x(x² + 4x + 5)

Explanation:

⇒ -x³ - 4x² - 5x

take out the common factor -x

⇒ -x(x² + 4x + 5)

Answer:

Angle 4 =55 degree

Step-by-step explanation:

1st find the and beside angel 4:

180 degree-(25+30)=125degree

Then,

To find angle 4 : 180-125 =55 degree

Answer:

$110.2

Step-by-step explanation:

$76 × 45%

$34.2

$76 + $34.2

$110.2

Answer:

144 in^2

Step-by-step explanation:

Using the A = s^2 and the text says that s= 12in

 the answer is 12 in * 12 in = 144 in^2

The occurrence is known as Simpson's paradox.

What is Cross tabulation?

The quantitative analysis of the relationship between several variables is done through cross tabulation. Cross tabulation, also referred to as contingency tables or cross tabs, groupings variables to reveal the relationships between them. It also demonstrates how correlations vary depending on which group of variables are used.

When the conclusions based upon the aggregated crosstabulation can be completely reversed if we look at the unaggregated data, the occurrence is known as Simpson's paradox.

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Answer:

The length of Big Ben shadow is 252.8 feet

Step-by-step explanation:

The given parameters are;

The height of the Big Ben clocktower in London ≈ 316 feet tall

The length of the shadow Shana casts = 4-foot

The height of Shania = 5 feet

Therefore, we have, by similar triangles;

\(\dfrac{The \ length \ of \ the \ shadow \ Shana \ casts }{The \ height \ of \ Shania} = \dfrac{The \ length \ of \ the \ shadow \ The \ Big \ Ben \ casts}{The \ height \ of \ the \ Big \ Ben \ clocktower}\)Substituting the values, gives;

\(\dfrac{4 \ feet}{5 \ feet} = \dfrac{The \ length \ of \ the \ shadow \ The \ Big \ Ben \ casts}{316 \ feet}\)

\(The \, length \, of \, the \, shadow \, The \, Big \, Ben \ clocktower \ casts = 316 \ feet \times \dfrac{4 \ feet}{5 \ feet} = 252.8 \ feet\)

The length of the shadow The Big Ben clocktower casts = The length of Big Ben shadow = 252.8 feet

Answer:

252.8 feet

Step-by-step explanation:

Step-by-step explanation:

-3n + 3 > -11

-3n > -14

3n < 14

n < 14/3

14/3 = 4.66666666...

the only positive integers that are smaller than 4.666666... are

4, 3, 2, 1

their sum is

4+3+2+1 = 10

Answer: 360

Step-by-step explanation:

done

After choosing every proportion, if 24 people have the flu out of 360 people, then 60 people would have the flu out of 900.

We know very well that if any relation of one quantity is given with the second quantity at any instant of  time and same relation question is asking  at another instant of time, then always use unitary methods.

The unitary method is defined as a technique for solving a problem by first finding the value of a single unit, and then with the help of found value the necessary value can be find by multiplying the single unit value.

Here, In 360 people number of people would have flu=24

∴In 900 people number of people would have flu=(24×900)/360

                                                                                   =21600/360

                                                                                    =60people.

Hence, number of people would have flu is 60.

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The Expected value for 4 tickets = $ 7.6

Given - A lottery offers one $900 prize, one $600 Prize, three $400 prizes, and four $100 prizes. One thousand tickets are sold at $5 each.

To find - Find the expectation if a person buys four tickets. Assume that the player's ticket is replaced after each draw and that the same ticket can win more than one prize. Round to two decimal places for currency problems.

Proof -

Given that,

A lottery offers

one $ 900 prize

one $ 600 prize

three $ 400 prizes

Four $ 100 prizes

And

One thousand tickets are sold at $ 5 each

Now,

If the person bought 1000 tickets then the prize he gets is

= 900 + 600 + 3×400 + 4×100

= 900 + 600 + 1200 + 400

= $3100

And

The cost of 1000 tickets = 5×1000 = $ 5000

Now,

Price 1 ticket =   $ 3.1

⇒Expectation of 1 ticket = 5 - $ 3.1  = $ 1.9      (Here $5 is price of 1 ticket)

⇒Expected value for 4 tickets = $ 4× -1.9 = $ 7.6

⇒Expected value for 4 tickets = $ 7.6

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Answer:

Not really sure how to explain it but the answer would be 250

Answer:

in explanation

Step-by-step explanation:

Input to output so for the input when it is 1=6 because it starts at 5 and then 8 what I mean is when the input comes out the output is going to be 3 more greater than last time.

So 1=6 so 6 is 5 more then

2 to 10=8 so 5 more went to 8 more.

Next is 3 and 14 so 3 more again because 8 + 3=11 so in that case that next number is 4 it will be 14 more

So 14 more than 4=18 and that is the output.

Also for the output it adds 4 for the numbers 6 + 4=10 + 4=14+ another 4=18.

And input is just plus 1.

Hope it helps have a great day:)

Answer:

x=14 y=-3

Step-by-step explanation:

Given the right triangle:

Where a is the short side. Then, using the definition of the sine function:

But we know that:

Finally:

Use dot products to express y as a linear combination of the vectors in S.

To represent y as a linear combination of the vectors in S using dot products, we calculate the dot product of y with each vector in S and divide it by the squared length of the corresponding vector. The coefficients obtained from the dot products form the linear combination. The steps for each exercise are as follows:

Let S = {7, 20} and y = {-1, 0, 9}.

Dot product with the first vector: (-1)⋅7 = -7

Dot product with the second vector: 0⋅20 = 0

y = (-7/149)⋅7 + (0/400)⋅20 = (-7/149)⋅7

Let S = {3, 1, 2, 0, 9} and y = {5, 5, -1}.

Dot product with the first vector: 5⋅3 = 15

Dot product with the second vector: 5⋅1 = 5

Dot product with the third vector: -1⋅2 = -2

Dot product with the fourth vector: 0⋅0 = 0

Dot product with the fifth vector: 9⋅9 = 81

y = (15/19)⋅3 + (5/26)⋅1 + (-2/14)⋅2 + (0/5)⋅0 + (81/186)⋅9

Let S = {-1, 0} and y = {1, 0}.

Dot product with the first vector: 1⋅(-1) = -1

Dot product with the second vector: 0⋅0 = 0

y = (-1/1)⋅(-1) + (0/1)⋅0 = -1

Let S = {5, 5, -1, -1} and y = {2, 1}.

Dot product with the first vector: 2⋅5 = 10

Dot product with the second vector: 1⋅5 = 5

Dot product with the third vector: 2⋅(-1) = -2

Dot product with the fourth vector: 1⋅(-1) = -1

y = (10/50)⋅5 + (5/50)⋅5 + (-2/2)⋅(-1) + (-1/2)⋅(-1)

Let S = {A, B} and v = {p}.

Dot product with the first vector: p⋅A

Dot product with the second vector: p⋅B

y = (dot product with A)⋅A + (dot product with B)⋅B

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