Probability
See picture attached

Answer:

70% is the correct answer

Step-by-step explanation:

Answer:

70% is correct

The linear function for the total cost C is:

A function is an expression, rule, or law that defines a relationship between one variable.

Example:

\(f(\text{x}) = 2\text{x} + 1\)

\(f(1) = 2 + 1 = 3\)

\(f(2) = 2 \times 2 + 1 = 4 + 1 = 5\)

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

The total cost for x cubic yards.

\(\bold{C = 28 + 48x}\)

Thus, the function is C = 28 + 48x.

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Answer:

its A

Step-by-step explanation:

Answer:

3√45

= 9√5

= 20.12461

Answer:

\(9\sqrt{5}\)

Step-by-step explanation:

To simplify this radical, you want to first find the prime factorization of the radicand, which happens to be 45.

The lowest square root factor of 45 is 3.

Now, the radical looks like this:

\(\sqrt{3^2\cdot \:5}\\=\sqrt{5}\sqrt{3^2}\)

Of course, The square root of a squared number is still the same number so...

\(=3\sqrt{5}\)

Now, we aren't done here, as the 3 which was multiplied by the square root of 45 is still existent so...

\(=3 \cdot 3\sqrt{5} \\=9\sqrt{5}\)

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Using the Venn Diagram principles, the number of customers at the supermarket who purchased both shirts and pants is 26.

A Venn Diagram shows a pictorial or graphical representation of the relationship (similarities and differences) between data sets.

In a Venn Diagram, overlapping circles or other shapes can be used to depict the logical relationships between two or more data sets or items.

The total number of customers at a supermarket = 118

The number of customers who purchased shirts, n(A) = 45

The number of customers who purchased pants, n(B) = 59

The number of customers who purchased neither shirts nor pants = 40

Let the number of customers who purchased both shirts and pants = n(A ∩ B)

n(A ∪ B) = n(A) + n(B) - n(A ∩ B)

n(A) = 45 n(B) = 59 n(A ∪ B) = 118 - 40 = 78

Substituting values:

78 = 45 + 59 - n(A ∩ B)

Solving for n(A ∩ B), we get:

n(A ∩ B) = 45 + 59 - 78 n(A ∩ B) = 26

Thus, using the formula of Venn Diagram, we can conclude that at this supermarket with 118 customers, 26 customers purchased both shirts and pants.

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Answer:

2 and 1/4

Step-by-step explanation:

3.5 - 1.25 = 2.25

2.25 as a mixed number is 2 and 1/4

Using translation concepts, the following transformation is applied to all coordinates of the figure:

\((x,y) \rightarrow (x + 1, y - 8)\)

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

Thus, the following transformation is applied to all coordinates of the image:

\((x,y) \rightarrow (x + 1, y - 8)\)

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The area of the triangle with angle B = 128°, side a = 86, and side c = 37 is approximately 2302.7 square units.

To find the area of a triangle when one angle and two sides are given, we can use the formula for the area of a triangle:

Area = (1/2) * a * b * sin(C),

where a and b are the lengths of the two sides adjacent to the given angle C.

In this case, we have angle B = 128°, side a = 86, and side c = 37. To find side b, we can use the law of cosines:

c² = a² + b² - 2ab * cos(C),

where C is the angle opposite side c. Rearranging the formula, we have:

b² = a² + c² - 2ac * cos(C),

b² = 86² + 37² - 2 * 86 * 37 * cos(128°).

By substituting the given values and calculating, we find b ≈ 63.8.

Now, we can calculate the area using the formula:

Area = (1/2) * a * b * sin(C),

Area = (1/2) * 86 * 63.8 * sin(128°).

By substituting the values and calculating, we find the area of the triangle to be approximately 2302.7 square units.

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Answer:

O is the center of the circle with radius IE(=ID=EF)

Step-by-step explanation:

Join all 3 points D, E, F, forming the triangle DEF.

Let the midpoint of EF be M and the midpoint of ED be N. (first picture)

Join point I to E, D and F.

Since IN is both an altitude and median to triangle EID, then triangle EID is an isosceles triangle, and IE=ID

similarly, we see that IE=IF.

conclusion: IE=ID=EF.

Answer:

You know its the center of the circle because it is the intersecting point of the perpendicular bisectors of segment DE and EF.

Step-by-step explanation:

i just did it. im not sure if i am correct yet

Answer:

angle 10

FYI:

angle 10 or 12 is adjacent to 9

(they share an adjacent arm)

angle 11 is opposite adjacent to angle 9.

Answer:

The coefficient of \(x^{4}\)\(y^{3}\) is -280

Step-by-step explanation:

Solving the Binomial expansion using the Pascal's triangle, it would be observed that an expansion to the power of 7 can be solved using;

1  7  21  35  35  21  7  1

Thus;

\((x - 2y)^{7}\) = 1. \(x^{7}\) + 7.\(x^{6}\)(-2y) + 21.\(x^{5}\)\((-2y)^{2}\) + 35.\(x^{4}\)\((-2y)^{3}\) + 35.\(x^{3}\)\((-2y)^{4}\) + 21.\(x^{2}\)\((-2y)^{5}\) + 7.x\((-2y)^{6}\) + \((-2y)^{7}\)

        = \(x^{7}\) -14\(x^{6}\)y +84\(x^{5}\)\(y^{2}\) -280\(x^{4}\)\(y^{3}\) + 560\(x^{3}\)\(y^{4}\) - 672\(x^{2}\)\(y^{5}\) + + 448x\(y^{6}\) - 128\(y^{7}\)

Therefore, the coefficient of \(x^{4}\)\(y^{3}\) is -280

Answer:

2π(x+y+z)

is the factorization

Answer:

B

Step-by-step explanation:

Since x is 3, you go 3 units right. Since y is -2, you go 2 units down.

Answer:

radius

Step-by-step explanation:

Answer:

Step-by-step explanation:

The bell boy added $270 and $20 incorrectly. The $20 bill was something that was returned due to overcharching. On the other hand, $270 was the amount that they paid for their room. This only means that $20 should be deducted from $270 and that's the amount that they paid for their room while $30 and $20 are the amount that the bell boy received as a tip

Total money of the three men: 3($100) = $300

They paid $270 for the room: $300 - $270 = $30

Tip for the bell boy: $30 - $30 = $0

Amount overcharged to them: $0 + $20 = $20

Tip to the bell boy: $20 - $20 = $0

They were left with no more money from the original $300.

Answer:

13830

Step-by-step explanation:

the amount of water that was left is 16500, so substract it to the added amount of water which is 12700, then add 10300 which is the amount of water that the village consumed. 16500-12700=3800+10300=13830

Given:

For 12 hours of work, david made $168.

To find the required time to make $238.

Since, it is in direct proportion.

We can write it as,

Hence, the required time to make $238 is 17 hours.

Answer:

- 4 / 9

Step-by-step explanation:

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

Answer:

Therefore, the solution to the equation -x + 3y = 11 is x = -34/11 and y = 29/11.

Step-by-step explanation:

The given equation is:

-x + 3y = 11

To solve this equation by elimination, we need to add or subtract one or both equations to eliminate one of the variables. In this case, we can eliminate the variable x by adding the equation with another equation that has x with the same coefficient, but opposite sign.

Let's suppose we have another equation with x, for example:

2x + 5y = 7

We can eliminate x by multiplying the first equation by 2 and the second equation by 1, so that the coefficients of x are opposite:

-2x + 6y = 22 (multiply the first equation by -2)

2x + 5y = 7 (the second equation)

Now we can add the two equations to eliminate x:

-2x + 2x + 6y + 5y = 22 + 7

Simplifying the equation, we get:

11y = 29

Dividing both sides by 11, we get:

y = 29/11

Now that we know the value of y, we can substitute it back into one of the original equations to find the value of x. Let's use the first equation:

-x + 3y = 11

Substituting y = 29/11, we get:

-x + 3(29/11) = 11

Simplifying the equation, we get:

-x + 87/11 = 11

Subtracting 87/11 from both sides, we get:

-x = 11 - 87/11

Multiplying both sides by -1, we get:

x = 87/11 - 11

Simplifying the equation, we get:

x = (87 - 121)/11

x = -34/11

Answer:

anything before -1 is lower than -1.  -1 = -1

Step-by-step explanation:

-10, -9, -8, -7, -6, -5, -4, -3, -2 etc. are in a sense before -1 on a time line and they are all less than -1

Set B represents the set of all the natural numbers less than or equal to -1

\(\rm B=\{-\infty ...........-4,-3,-2,-1\}\)

if we include all the numbers the range of set includes every number from

\(\rm -\infty \; to -1\) so the set is represented by K

\(\rm K = \{ -\infty ,.....-1\}\)

In Mathematics a set is  a collection of objects/elements that are constrained by some particular condition.

Let us consider a situation where "S" is the set and the elements are represented by "x"

A set is always denoted in curly braces. Expression (1) represents the set

\(\rm S =\) { \(\rm x_1.x_2,x_3, x_4,x_5........x_n\)}...........(1)

Set S  has elements that are represented as \(\rm x_1\)\(\rm\\where \; i \; represents\; the\; index\; of \; the \; element\\n = number\; of \; elements \; in \; the \; set \; x\)

The set of all the natural numbers less than or equal to -1 is the set of all the negative integers including  -1.

So let us say B represents the set of all the natural numbers less than or equal to -1 . Then we can write it as follows

\(\rm B=\{-\infty ...........-4,-3,-2,-1\}\)

Set B represents the set of all the natural numbers less than or equal to -1

if we include all the numbers the range of set includes every number from

\(\rm -\infty \; to -1\) so the set becomes  

\(\rm K = \{ -\infty ,.....-1\}\)

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The similar shapes EFGH and JKLM have the measurement of angle Z equal to 65°, the length x = 27.5 and the length of y = 12

Similar shapes are two or more shapes that have the same shape, but different sizes. In other words, they have the same angles, but their sides are proportional to each other. When two shapes are similar, one can be obtained from the other by uniformly scaling (enlarging or reducing) the shape.

Given that the shape EFGH is a smaller shape of JKLM, and they are similar, then:

the measure of angle Z is equal to 65°

the side EF corresponds to JK and side FG corresponds to KL, so:

8/20 = 11/x

x = (11 × 20)/8 {cross multiplication}

x = 27.5

the side EF corresponds to JK and EH corresponds to JM, so:

8/20 = y/30

y = (30 × 8)/20 {cross multiplication}

y = 12

Therefore, the similar shapes EFGH and JKLM have the measurement of angle Z equal to 65°, the length x = 27.5 and the length of y = 12

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Answer:

0.75, 0.625, 0.5, 0.45

Step-by-step explanation:

Answer:

0.75, 0.625, 0.5, 0.45

Step-by-step explanation:

The interest is 16% compounded semi-annually, is Rs. 121,179.10.

To determine how much money needs to be deposited now to provide a payment of Rs. 15,000 at the end of each half year for 10 years, we will use the formula for the present value of an annuity.

Present value of an annuity = (Payment amount x (1 - (1 + r)^-n))/rWhere:r = interest rate per compounding periodn = number of compounding periodsPayment amount = Rs. 15,000n = 10 x 2 = 20 (since there are 2 half years in a year and the payments are made for 10 years)

So, we have:r = 16%/2 = 8% (since the interest is compounded semi-annually)Payment amount = Rs. 15,000Using the above formula, we can calculate the present value of the annuity as follows:

Present value of annuity = (15000 x (1 - (1 + 0.08)^-20))/0.08 = Rs. 121,179.10Therefore, the amount that needs to be deposited now to provide payment of Rs. 15,000 at the end of each half year for 10 years, if the interest is 16% compounded semi-annually, is Rs. 121,179.10.

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Answer:

The cost per ounce of the small cup is $0.269

Step-by-step explanation:

To find the cost per ounce, we can divide the cost of the cup by the number of ounces it holds.

Cost per ounce = Cost of the cup ÷ Number of ounces in the cup

Cost of the cup = $2.69

Number of ounces in the cup = 10 oz

So,

Cost per ounce = $2.69 ÷ 10 oz

Cost per ounce = $0.269 per oz (rounded to the nearest thousandth)

Therefore, the cost per ounce of the small cup is $0.269.

Answer:

40 shirts.

Step-by-step explanation:

The budget is $170.
There's a one time fee of $10.
A T-shirt costs $4.
Put that in an equation with x, where x is the amount of t-shirts that can be made, to solve for it.
170 - (4x + 10) = 0
170 = 4x + 10
-10
160 = 4x
/4
40 = x
So, 40 shirts can be made at most.

It would take 15 people approximately 3.6 hours to complete the same task.

To solve this problem, we can use the concept of the work done. Work is defined as the product of the number of people and the time taken to complete a task.

Let's assume that the amount of work required to complete the task is represented by W. We know that 25 people can do the task in 6 hours, so the work done by 25 people in 6 hours is 25 * 6 = 150 person-hours.

Now, we need to find out how long it would take 15 people to do the same task. Let's represent the time taken by 15 people to complete the task as T.

Since the amount of work required to complete the task is the same, we can set up a proportion:

25 people / 6 hours = 15 people / T hours

Cross-multiplying, we get:

25 * T = 15 * 6

Simplifying, we find:

25T = 90

Dividing both sides by 25, we obtain:

T = 90 / 25 = 3.6 hours

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Answer:

V = 9.52381 L

Explanation:

V= mass/density

V=100/10.5

The amount of work done when a load of 50 newton is lifted through a distance of 6m is 300 joules.

Work done is simply the energy transfer that takes place when an object is either pushed or pulled over a distance by an external force.

It is expressed as;

Work done = force × distance

Given the data in the question;

To determine the work done, plug the given values into the above formula and solve W.

Work done = force × distance

Work done = 50kgm/s² × 6m

Work done = 50kgm²/s² × 6

Work done = 300kgm²/s²

Work done = 300J

Therefore, 300 joules is the work done in lifting the load.

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The Amy has 42 books, Betty has 36 books, and Carol has 18 books.

Let's set up equations to represent the given information:

Let A represent the number of books Amy has.

Let B represent the number of books Betty has.

Let C represent the number of books Carol has.

Let's say Amy has x books.

Betty has 6 books less than Amy, so Betty has (x - 6) books.

Carol has half as many books as Betty, so Carol has (x - 6)/2 books.

According to the problem, the total number of books they have is 96.

So, we can write the equation:

x + (x - 6) + (x - 6)/2 = 96

To solve the equation, we can simplify it by multiplying through by 2 to remove the fraction:

2x + 2(x - 6) + (x - 6) = 192

2x + 2x - 12 + x - 6 = 192

5x - 18 = 192

5x = 210

x = 42

Amy has 42 books.

Betty has (42 - 6) = 36 books.

Carol has (36)/2 = 18 books.

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