A local charity held a crafts fair selling donated, handmade items. Total proceeds from the sale were $1,950. A total of 150 items were sold, some at $5 each and the rest at $25 each.


How many items were sold at $25 ?

Answer: x-6, x+3, x-3

Step-by-step explanation;

Split the equation into two.

x2(x-6)-9(x-6)

(x-6) is seen as one of the tiles. Now work on x2-9

x2-9 is a difference of squares meaning the last two are (x+3) and (x-3).

Answer:

how do we find this out

Step-by-step explanation:

Answer:

7. $3450

8.  $10300

Hope this helps.

Answer:

The probability that out of the nine drinks in the cooler, one of the two friends selects a drink flavored fruit punch after which the next of the two friends selects a drink flavored orange is \(0.08 \overline 3\)

Step-by-step explanation:

The given parameters for the content of the cooler are;

The total number of bottles of sports drink in the cooler, n = 9 bottles

The number of lemon-lime flavored bottles of sports drink in the cooler, L = 4 bottles

The number of orange flavored bottles of sports drink in the cooler in the cooler, O = 3 bottles

The number of fruit punch flavored bottles of sports drink in the cooler, F = 2 bottles

The probability of selecting a drink flavored fruit punch, \(P_F\) = F/n = 2/9

The probability of selecting a drink flavored orange given that a drink flavored fruit punch has already been selected is \(P_{O(n_1)}\) = O/(n₁)

Where;

n₁ = n - 1 = 9 - 1 = 8

∴ \(P_{O(n_1)}\) = O/(n₁) = O/(n - 1) = 3/(9 - 1) = 3/8

Therefore, the probability that the first of two friends to select a drink got a drink flavored fruit punch and the second of the two friends got a drink flavored orange is, P = \(P_F\) × \(P_{O(n_1)}\)

∴ P = 2/9

\(P = \dfrac{2}{9} \times \dfrac{3}{8} = \dfrac{6}{72} = \dfrac{1}{12}\)

The probability that one of two friends selects a drink flavored fruit punch and the next of the two friends selected a drink flavored orange is P = 1/12 = 0.08\(\overline 3\).

Answer:

16.642cm

Step-by-step explanation:

Diameter of a circle = 5.3cm

Circumference of a circle = π(d)

                                          = π x 5.3

                                          = 3.14 x 5.3

                                          = 16.642cm

Answer:

C= pi x diameter

= 5.3pi

Answer is 16.65cm to 2 d.p

Hope this helps!

Answer:

1/8

Step-by-step explanation:

9/72 = 1/8

Answer:

should it be like 16ft or sum like do it give u multichoice answers

Step-by-step explanation:

Answer:

The area of the shape is 21.87 square feet.

Step-by-step explanation:

Assuming the indent on the right is a perfect semicircle, then you need only subtract the area of the semicircle from the area of the rectangle.

The rectangle is six feet on both directions, giving it an area of 36 square feet.

The circle then has a radius of 3 feet.  The area of a circle is equal to πr², so in this case, π × 9.  Using a pi value of 3.14, nine times that is 28.26.  We only want half the circle's area though, giving us 14.13.

Now we can subtract that semicircle from the square giving us:

36 - 14.13 = 21.87

So the total area is 21.87 square feet.

The probability of out of any two students chosen at random, one student will be absent while the other is present is 29/450 or approximately 0.064.

Let's denote the event that a student is absent as A and the event that a student is present as P.

The probability of a student being absent is P(A) = 1/30, which means the probability of a student being present is P(P) = 29/30.

We want to find the probability that out of any two students chosen at random, one student will be absent while the other is present.

There are two possible cases for this event:

The first student is absent and the second student is present

The first student is present and the second student is absent

Let's calculate the probability of each case separately:

Case 1: The probability of the first student being absent is P(A) = 1/30. The probability of the second student being present is P(P) = 29/30. Therefore, the probability of the first student being absent and the second student being present is:

P(A and P) = P(A) × P(P) = (1/30) × (29/30) = 29/900

Case 2: The probability of the first student being present is P(P) = 29/30. The probability of the second student being absent is P(A) = 1/30. Therefore, the probability of the first student being present and the second student being absent is:

P(P and A) = P(P) × P(A) = (29/30) × (1/30) = 29/900

The total probability of one student being absent and the other being present is the sum of the probabilities of the two cases:

P = P(A and P) + P(P and A) = (29/900) + (29/900) = 58/900

Simplifying the fraction by dividing both the numerator and denominator by 2, we get:

P = 29/450

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Answer: 168.5 inches

50 yards = 1800 inches

50 meters = 1968.5 inches.

So, if you run 50 yards, you run 1968.5 - 1800, 168.5 inches less than 50 meters.

Let me know if this helps!

As per the mentioned informations, the probability that x has a value of at least 95 is calculated to be 0.2 or 20%.

Since x is uniformly distributed between 75 and 100, the probability density function (PDF) of x is given by:

f(x) = 1/(100-75) = 1/25 for 75 ≤ x ≤ 100

To find the probability that x has a value between 80 and 90, we need to calculate the area under the curve between x = 80 and x = 90:

P(80 ≤ x ≤ 90) = ∫[from 80 to 90] f(x) dx

= ∫[from 80 to 90] 1/25 dx

= [1/25 × x] [from 80 to 90]

= (90-80)/25

= 0.4

Therefore, the probability that x has a value between 80 and 90 is 0.4 or 40%.

To find the probability that x has a value of at least 95, we need to calculate the area under the curve to the right of x = 95:

P(x ≥ 95) = ∫[from 95 to 100] f(x) dx

= ∫[from 95 to 100] 1/25 dx

= [1/25 × x] [from 95 to 100]

= (100-95)/25

= 0.2

Therefore, the probability that x has a value of at least 95 is 0.2 or 20%.

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(a) E[K100] = 75, since there is a 0.75 probability that a call is a voice call and 100 total calls, we expect there to be 75 voice calls.

(b) Using the formula for the expected value of a binomial distribution, E[K100] = np = 100 * 0.75 = 75 and the variance of a binomial distribution is given by np(1-p) = 100 * 0.75 * 0.25 = 18.75. So the standard deviation of K100 is the square root of the variance, which is approximately 4.330.

(c) Using the central limit theorem, we have Z = (82.5 - 75) / 4.330 ≈ 1.732. Using continuity correction, we get P(K100 ≤ 82) ≈ P(Z ≤ 1.732 - 0.5) ≈ P(Z ≤ 1.232) ≈ 0.8932. Therefore, P(K100 > 82) ≈ 1 - 0.8932 = 0.1068.

(d) Using the same approach as (c), we get P(68.5 < K100 < 90.5) ≈ P(-2.793 < Z < 1.232) ≈ 0.9846. Therefore, P(68 < K100 < 90) ≈ 0.9846 - 0.5 = 0.4846.

For the second part of the question:

(a) Using the central limit theorem, we need to find the value of C such that P(K > C) < 0.06, where K is a Poisson random variable with lambda = 300. We have P(K > C) = 1 - P(K ≤ C) ≈ 1 - Φ((C+0.5-300)/sqrt(300)) < 0.06, where Φ is the standard normal cumulative distribution function. Solving for C, we get C ≈ 327.

(b) In one second, the number of requests follows a Poisson distribution with parameter 300/60 = 5. Using the Poisson distribution, P(overload) = P(K > ⌊C/60⌋), where K is a Poisson random variable with lambda = 5 and ⌊C/60⌋ = 5. Therefore, P(overload) = 1 - P(K ≤ 5) = 1 - Σi=0^5 e^(-5) * 5^i / i! ≈ 0.015.

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The distribution of the sample mean can be represented as: X ~ N(67.15, 3.084/√30)

The distribution of the sample mean is a normal distribution with a mean equal to the population mean µ and a standard deviation equal to the population standard deviation σ divided by the square root of the sample size n.

Therefore, for this problem, the distribution of the sample mean can be represented as:

X ~ N(67.15, 3.084/√30)

where X is the sample mean, N represents a normal distribution, 67.15 is the population mean, 3.084 is the population standard deviation, and √30 is the square root of the sample size.

This distribution assumes that the sample is randomly selected from the population and the sample size is large enough to satisfy the central limit theorem.

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Answer:

Step-by-step explanation:

1) ∠WVZ and ∠VWX are right angles & VX = = WZ      Given

2) WV = VW                                                                      Reflexive property

3) ΔWVZ ≅ ΔVWX                                                           HL

4) ∠Z = ∠X                                                                       CPCT

CPCT --> Corresponding parts of congruent triangle.

The statement ''the formula for finding the surface area of a cylinder is sa = πr2 πrh.'' is false because the formula for finding the surface area of a cylinder is given by: SA = 2πrh + 2πr^2 , where SA represents the surface area, r is the radius of the base, and h is the height of the cylinder.

The first term, 2πrh, represents the area of the curved surface of the cylinder (the lateral surface area), which is a rectangle that wraps around the cylinder. It is calculated by multiplying the height of the cylinder by the circumference of the base.

The second term, 2πr^2, represents the areas of the two circular bases of the cylinder.

By adding these two terms together, we obtain the total surface area of the cylinder.

Therefore, the correct formula for finding the surface area of a cylinder is SA = 2πrh + 2πr^2.

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Below are some authorial techniques that can be used to create mystery, tension, or surprise in literature.

Order of events: The order in which events are presented can create a sense of mystery or suspense.

Pacing: The pace of a story can also be used to create suspense. A slow-paced story can build tension by allowing the reader to dwell on the details of a situation, while a fast-paced story can create excitement and surprise by keeping the reader guessing what will happen next.

Structure: The structure of a story can also be used to create mystery, tension, or surprise. For example, a story that is told in flashback can create a sense of mystery by revealing information about the past that is relevant to the present.

Time manipulation: The manipulation of time can also be used to create suspense.

Language: The language that an author uses can also be used to create mystery, tension, or surprise. For example, an author might use vague or ambiguous language to create a sense of mystery, or use strong language to create a sense of tension or surprise.

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Answer:

Let x = 6-2y/6

substitute into equation 2

6(6-2y/6)-2y = 6

6-4y = 6

-4y= -12

y = 3

From equation 2

6x-2y =6

substitute y=3

6x-2(3)= 6

6x = 12

x= 2

substitute both into the given equation

x+2y

2+2(3)= 8

Therefore x+ 2y= 8

Answer:

Answer:

1. We have our function y = 15x + 35

a) Where the x represents the numbers of weeks since each week he is saving $15, which is the independent variable.

b) Where the y represents the total money he has, which is the dependent variable.

c) the slope is 15, as x increments, the slope goes up by 15.

d) The y-intercept is 35, because when x = 0, y = 35.

2. To create the table you have to find the value of y, knowing the values of x.

Using our function, when x = 0

y = 15(0) + 35

y = 0 + 35

y = 35

Using our function, when x = 1

y = 15(1) + 35

y = 15 + 35

y = 50

Using our function, when x = 2

y = 15(2) + 35

y = 30 + 35

y = 65

Using our function, when x = 3

y = 15(3) + 35

y = 45 + 35

y = 80

Using our function, when x = 4

y = 15(4) + 35

y = 60 + 35

y = 95

Using our function, when x = 5

y = 15(5) + 35

y = 75 + 35

y = 110

Yes, the table is proportional, because for each week, the value of his money is increasing by 15.

3. To create the graph, you can put the values of the table into the graph

And the graph is not proportional because to be proportional the relationship between “x” and “y” should be constant, meaning that, if “x” changes, “y” changes by the same percentage.

In this case our function has an intercept of 35 meaning that at week 0, he has $35 saved,

after a week: $50,

after two weeks: $65,

So, although is linear, is not proportional because when you double the weeks saved, you don't double the money saved.

JB Hi Fi is an Australian electronics retailer with over 250 stores in Australia and New Zealand. The company faces a number of financial and non-financial risks.

Financial risks

Non-financial risks

JB Hi Fi can manage these risks by implementing a number of risk management techniques.

By implementing these risk management techniques, JB Hi Fi can reduce its exposure to financial and non-financial risks and improve its chances of long-term success.

In addition to the above, JB Hi Fi can also take steps to improve its ESG performance. This could include:

By improving its ESG performance, JB Hi Fi can attract more customers and investors, and build a more sustainable business.

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As per the given information in the question, we can compute that the correct option is C) 11.

According to the question:

\(f(x)=x^{2} -6x-4\)

\(g(x)=5x+3\)

Therefore,

\((f+g)(x)= f(x)+g(x) \\

          =x^{2} -6x-4+5x+3 \\

          =x^2-x-1\)

Now, to find (f+g)(-3):

substituting x=-3 in the above equation

we get,

\((f+g)(-3)= (-3)^2-(-3)-1 \\

                         = 9+3-1 \\

                         =11\)

Hence  (f+g)(-3)=11

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Answer:

c

Step-by-step explanation:

using the continously compounded formula, let a be unknown, p= 530, r be 0.05 and t be 12.

the equation would then be a=530e to the (0.05*12)th power, so that's why it's c

The amount of money after 12 years is $965.66. Therefore, option C is the correct answer.

Continuously compounded interest means that an account balance is constantly earning interest, as well as refeeding that interest back into the balance so that it, too, earns interest.

The continuous compound interest formula is \(P(t)=P_0e^{rt}\).

Where, P(t)=value at time t, \(P_0\) =original principal sum, r=nominal annual interest rate and t= length of time the interest is applied

Now, \(P(12)=530\times e^{0.05\times12}\)

⇒ \(P(12)=530\times e^{0.6}\)

⇒ P(12)= 530×1.822

⇒ P(12)= $965.66

The amount of money after 12 years is $965.66. Therefore, option C is the correct answer.

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Answer:

srry i have no clue explain to me kindah how u would do a dif ex of this ill stay up and try to help cuz where i am its 9:13 pm

Step-by-step explanation:

The value of n for the given point (3,2,n) on the plane x+4y-2z=17 is -3.

To find the value of n, we can substitute the coordinates of the given point (3,2,n) into the equation of the plane x+4y-2z=17:

3 + 4(2) - 2n = 17

Simplifying the left-hand side:

3 + 8 - 2n = 17

11 - 2n = 17

Subtracting 11 from both sides:

-2n = 6

Dividing both sides by -2:

n = -3

Therefore, the value of n for the given point (3,2,n) on the plane x+4y-2z=17 is -3.

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Answer:

A constant you need to find when given what the equation is equal to.

Answer:

Here, 'd' is the variable of 2.

We can use the following formula to solve the exercise.

Then, we have:

We replace the know values in the formula.

The car travels 266 miles in 4 hours and 45minutes.

If Kevin deposits $4000 into an account that pays simple interest at an annual rate of 5%, $1,000 is the total interest that Kevin will earn after 5 years if he makes no withdrawals.

Simple interest refers to the interest that is calculated on the original amount or the principal. Simple interest is calculated by:

Interest = P * r * t

where P is the principal

r is the rate of interest (in decimal)

t is the time

Given in the question,

P = $4000

r = 5% = 0.05

t = 5 years

Interest = 4000 * 0.05 * 5

= $1,000

Interest earned by Kevin after 5 years is $1,000.

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Answer:

write the question correctly so I can help you

Step-by-step explanation:

Hey there! I'm happy to help!

This does not satisfy the equation y=x as x and y have two different values. 0 and 3 are not equal. A point like (3,3) would satisfy that equation.

Have a wonderful day! :D

You would pay a total of R1,080,000 over 20 years for your R450,000 home loan if your monthly repayment remains at R4,500.

To calculate the total amount paid over 20 years for a home loan of R450,000 with a fixed monthly repayment of R4,500, we need to consider the interest accumulated over the loan term.

First, let's calculate the total number of months in 20 years:

Number of months = 20 years * 12 months/year = 240 months

Next, we can calculate the total amount paid by multiplying the monthly repayment by the number of months:

Total amount paid = Monthly repayment * Number of months

Total amount paid = R4,500 * 240

Total amount paid = R1,080,000

Therefore, you would pay a total of R1,080,000 over 20 years for your R450,000 home loan if your monthly repayment remains at R4,500.

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On solving the provided question, we can say that the answer is that the percentage of 300\%300%300, percent of 888 is 888.

A percentage in mathematics is a figure or ratio that is stated as a fraction of 100. The abbreviations "pct.," "pct," and "pc" are also occasionally used. It is frequently denoted using the percent symbol "%," though. The amount of percentages has no dimensions. With a denominator of 100, percentages are basically fractions. To show that a number is a percentage, place a percent symbol (%) next to it. For instance, if you correctly answer 75 out of 100 questions on a test (75/100), you receive a 75%. To compute percentages, divide the amount by the total and multiply the result by 100. The percentage is calculated using the formula (value/total) x 100%.

300\%300%300, percent of 888

300/300/100 X 100 X 888

= 888

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