at a hot wings restaurant, 5/9 of the patrons ordered the inferno hot wings and 1/8 of those patrons passed out from the intensity of the sauce. what fraction of the patrons passed out?

The statement is not valid and the donation per learner cannot be determined from the given table.

Table 1: Income in rands of fundraising,

Number of learners that paid Income (R)

1,200

We need to calculate the missing value A, we need to add up all the given incomes and subtract it from the total income for 45 learners, which is 45 x A. Then we can solve for A:

Total income = 200 + 150 + 10(2,000) + 20(45) + A + 4,000 + 9,000

Total income = 45A

45A = 25,150

A = 558.89

Therefore, the missing value A is R558.89.

The dependent variable in the table is the income received from fundraising.

We need to find the ratio of income received from 10 learners to income received from 45 learners, we need to divide the income received from 10 learners by the income received from 45 learners and simplify the fraction:

Income from 10 learners = R1,100 (since each learner donates R110)

Income from 45 learners = R215

Ratio = Income from 10 learners : Income from,

45 learners = 1,100:215 = 20:3 (in its simplest form)

The total number of learners enrolled at the school is 1,100. If 80% of the learners paid, then the number of learners who paid is:

80% of 1,100 = 0.8 x 1,100 = 880 learners

The minimum income that the school can raise if 80% of the learners paid is when each of the 880 learners paid the minimum donation, which is R150:

Minimum income = 880 x 150 = R132,000

Since R132,000 is less than R170,000, the SGB chairperson's statement is not valid.

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Complete question: Schools have different ways of fund raising. The parents and the SGB of Progress High School agree that each learner should donate an amount to the school. The money is payable during the first month of the year. 1.1 Use TABLE 1 to answer the questions that follow. Write down the donation per leamer. 1.2 TABLE 1: INCOME IN RANDS OF FUND RAISING Number of learners that paid Income (R) 1 200 1.3 1.5 Calculate the missing value A. 10 2 000 20 45 215 4 000 9 000 A [Adapted from original school financial books ] Use TABLE 1 and write down the dependent variable. 1.4 Write the income received from 10 leaners to the income received from 45 learners, in a ratio in its simplest form. (3) (2) (2) (2) have The SGB chairperson claims that if 80% of the leaners paid, the school would raise more than R170 000. There are 1 100 learners enrolled at the school. Verify, by showing ALL calculations, whether his statement is valid.

Answer:

the difference between -23.3° and 30.4° is 53.7°F

Step-by-step explanation:

30.4° - (- 23.3° ) = 53.7° F

Answer:

Step-by-step explanation:

You want to know the down payment, amount financed, monthly payment, and total paid for a home costing $340,000 with a 12% down payment and a 30 year loan at 5.8%.

The down payment is 12% of the purchase price:

  $340,000 × 0.12 = $40,800

Julie paid $40,800 as a down payment.

The amount financed is the remaining amount of the house value after the down payment is made:

  $340,000 -40,800 = $299,200

The amount financed is $299,200.

The monthly payment is found using the amortization formula:

  A = P(r/12)/(1 -(1 +r/12)^(-12·t))

where P = principal financed, r = annual interest rate, t = number of years

  A = $299,200(0.058/12)/(1 -(1 +0.058/12)^(-12·30)) ≈ $1,755.57

Julie's monthly payment is $1755.57.

If Julie makes 360 payments of $1755.57, together with her down payment, her total cost is ...

  360 × $1755.57 + 40,800 = $672,805.20

Julie will spend $672,805.20 on this home.

Answer:

  a) x = {-2 2/3, -2}

  b) x = {-8, 3}

  c) x = {-1, 23}

Step-by-step explanation:

If all you want are solutions, a graphing calculator can give them to you easily. The attachment shows the solutions as x-intercepts when the equation is rearranged to the form f(x) = 0.

__

In general, it can be convenient to write the equation in standard form with integer coefficients. Common factors among the coefficients should be removed.

  3(x+4)^2 = 10x +32 . . . . . given

  3(x^2 +8x +16) -10x -32 = 0

  3x^2 +14x +16 = 0

To factor this, we're looking for factors of 3·16 that total 14.

  48 = 1·48 = 2·24 = 3·16 = 4·12 = 6·8

The last pair of factors has a total of 14, so we can rewrite the equation as ...

  (3x +6)(3x +8)/3 = 0

  (x +2)(3x +8) = 0

The solutions are the values of x that make the factors zero:

  x = -2, x = -8/3

__

  (x +4)^2 = 3x +40 . . . . . . . . given

  x^2 +8x +16 -3x -40 = 0 . . . . subtract the right side

  x^2 +5x -24 = 0 . . . . . . . . simplify

  (x +8)(x -3) = 0 . . . . . . factor

The solutions are the values of x that make the factors zero:

  x = -8, x = 3

__

  (x^2 -1)/2 -11x = 11 . . . . . given

  x^2 -1 -22x -22 = 0 . . . . . . multiply by 2, subtract the right side

  x^2 -22x -23 = 0 . . . . . . simplify

  (x -23)(x +1) = 0 . . . . . . factor

  x = 23, x = -1

_____

Additional comment

Factoring often gets to the solution with the least fuss when the solutions are rational. There are several ways factoring can be done when the leading coefficient is not 1. One of them is illustrated in (a) above. We will show two other methods that give the same result.

factoring by pairs

We have identified the factors of 3·16 = 48 that have a total of 14. We can use those factors to rewrite the 14x term in the equation.

  3x^2 +6x +8x +16 = 0

Now, we can group the terms in pairs, and factor each pair. It does not matter which of the factors (6 or 8) you write first. You will end with the same result.

  (3x^2 +6x) +(8x +16) = 0

  3x(x +2) +8(x +2) = 0

  (3x +8)(x +2) = 0   ⇒   x = -8/3, x = -2

__

factoring using the X method

This method is usually shown using a large graphic X. In the top quadrant is written the product of the leading coefficient and the constant: 3·16 = 48.

In the bottom quadrant is written the coefficient of the x-term: 14.

If one or the other, or both, of these top/bottom values is negative, be sure to keep the sign.

The side quadrants are then filled with values that have a product equal to the top number, and a sum equal to the bottom number. (Pay attention to the signs.) Further, in each of those quadrants, the number written is divided by the leading coefficient, and the fraction reduced to lowest terms.

Here, we would have 6/3 = 2 on one side, and 8/3 on the other side. Now the factors are written as (bx+a), where the reduced fraction on either side is a/b. In our example, the factors are (x+2) and (3x+8)

__

alternate X method

This starts off in the same way the X method does, as described above. However, the factors on either side of the X are not divided by the leading coefficient (a). If those side values are 'p' and 'q', the quadratic is written in factored form as ...

  (ax +p)(ax +q)/a = 0

You will notice we used this form above: (3x +6)(3x +8)/3 = 0.

Now, the divisor 'a' can be used to reduce either or both of the numerator factors. Here, the entire factor of 3 can be removed from (3x+6) to make the factorization be ...

  (x +2)(3x +8) = 0

__

Sometimes, one factor of the divisor will be removed from one term, and the other factor of it will be removed from the other term. An example of this might be ...

  \(\dfrac{(6x+3)(6x+2)}{6}=\dfrac{6x+3}{3}\cdot\dfrac{6x+2}{2}=(2x+1)(3x+1)\)

Answer:

47.13 (rounded) or 47.1 (if pi is rounded)

Step-by-step explanation: diameter time pi or 3.14 = Circumference

Answer:

c/sin(60°) = 14/sin(25°)

c = 14sin(60°)/sin(25°) = 28.7

According to the question The local sidereal time (LST) at noon on March 21st is approximately 12:00 (option c).

To determine the LST, we need to consider the rotation of the Earth and its relation to the stars. LST is based on the apparent motion of the vernal equinox, which completes a full cycle in approximately 24 hours.

Since noon is halfway through the day, we can estimate that the LST at noon would be approximately half of 24 hours, which is 12:00. This assumes that we are considering a location where the local time is synchronized with the standard time zone and there are no factors like daylight saving time or variations in the location's longitude that can affect the LST calculation.

Therefore, the correct answer is option c) 12:00 local sidereal time.

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Answer:

58x i think. i hope thiss helps

Answer:

31x

Step-by-step explanation:

x * 5 = 5x

3x * 12 = 36x

36x - 5x = 31x

first you have to find the area of the big rectangle and the little rectangle too and then subtract the area of the big rectangle to the little rectangle to find the area of the Shaded region

Answer:

x = -4

Step-by-step explanation:

First lets add 82 + 55 which equals 137, then 137 +47 which equals 184

Now we know that a triangle equals 180 degrees (cannot go over 180), so this tells us x is a negitive number.

-x + 184 = 180

-x = -4

Another way to look at it is; 184 minus what equals 180? 4 does, so it translates into -4.

The probability of selecting a majority of women when choosing 5 people from a group of 3 men and 7 women is 0.5.

To calculate the probability that the majority chosen are women when selecting 5 people from a group of 3 men and 7 women, we can use combinatorics.

1: Calculate the total number of ways to choose 5 people from the group of 10 (3 men + 7 women):

Total ways = 10C5 = 10! / (5! * (10-5)!) = 10! / (5! * 5!) = 252

2: Calculate the number of ways to select 5 women:

Ways to select 5 women = 7C5 = 7! / (5! * (7-5)!) = 7! / (5! * 2!) = 21

3: Calculate the number of ways to select 4 women and 1 man:

Ways to select 4 women and 1 man = (7C4 * 3C1) = (7! / (4! * (7-4)!) * 3! / (1! * (3-1)!)) = (35 * 3) = 105

4: Add the two scenarios to get the total number of ways to have a majority of women:

Total ways for majority women = Ways to select 5 women + Ways to select 4 women and 1 man = 21 + 105 = 126

5: Calculate the probability:

Probability (majority women) = Total ways for majority women / Total ways = 126 / 252 = 0.5

Therefore, the probability of selecting a majority of women is 0.5 or 50%.

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Answer:

The initial height would be the intersection between the line and the y-axis, or the y-intersect

Step-by-step explanation:

Initial height means the height before any time has passed, so the x-axis representing time must have a value of 0. Because of this the initial height is the y-intercept.

Answer:

Your(my) number is 40

Step-by-step explanation:

I. Given 80/something, + 13, * 5 = 75 when x is something

So [  \(\frac{80}{x}\) + 13 ]5 = 75

     [ \(\frac{400}{x}\) + 65] = 75

     \(\frac{400}{x}\) = 75 - 65

     \(\frac{400}{x}\)  = 10

     400 = 10x

        x = 40

II. Prove by replace 40 in x

    [(80/40) + 13]5 = 75

    [2 + 13] 5 = 75

    (15)5 = 75

        75 = 75 true

Ask me for anything.

Answer:

see explanation

Step-by-step explanation:

the inscribed angle ADB is half the arc that subtends it , AB , then

AB = 2 × ∠ ADB = 2 × 46° = 92°

the central angle BOC is equal to the arc that subtends it, BC , so

BC = 22°

Then

ABC = AB + BC = 92° + 22° = 114°

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

BD is a diameter of the circle , so BAD = 180° THEN

AD = 180° - AB = 180° - 92° = 88°

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

the sum of the arcs on a circle = 360° , so

ADC = 360° - ABC = 360° - 114° = 246°

Answer:

what are the answer choices?

Answer:

5=3 bedmas

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

i am not sure i but i think it is

Given: The function for views is V(d)=31.5d.

So, put 5 for d in V(d)=31.5d to find the number of views in 5 days.

Therefore, the number of views after 5 days is 158.

Answer:

-6

Step-by-step explanation:

In this equation it gives us the value of x which is,

×=2^(1/3)-2

x=-.74

We then need to plug in this value to, x³+6x²+12x

(-.74)³+6(-.74²)+12(-.74)

-6

Answer:

20

Step-by-step explanation:

5 divided by 100 = 20

Answer:

20 miles per hour (20 mi/h)

Step-by-step explanation:

100 miles/5 hours = 20 miles/ 1 hour

(simplify the proportion)

Consider the following formula s=d/t, with

s being the speed, d as the distance, and t as the time.

this is because miles per hour is a measurement of speed.

In this case, 100 miles is the distance. 5 hours is the time, and we are solving for s.

s = 100/5, s = 20/1, s = 20 which is 20. So the rate or the speed is 20 miles per hour.

Anything multiplied or divided by 1 will remain the same.

Answer:

Option C

The answer is 46°

Step-by-step explanation:

Here,

Supplementary angles are two angles whose measures add up to 180°.

Let the number be x

x + 134° = 180°

x + 134° – 134° = 180° – 134

x = 46°

Thus, The measure of its supplement is 46°

-TheUnknownScientist 72

Answer:

2826 ft²

Step-by-step explanation:

r= 30 ft

A= πr² = 3.14*30² ft²= 2826 ft²

To find the response of the first-order system excited by the linear FM signal, follow these steps: use the difference equation, provide an initial condition for y[0], and compute y[n] for each value of n in the given range.

The response of a first-order system when excited by a linear FM signal. Here's a step-by-step explanation:
1. The first-order system is described by the difference equation y[n] = 0.8y[n-1] + 0.2x[n].
2. The system is excited by a linear FM signal x[n] = cos(2π(b/fs/n)n^2/3), where 0 ≤ n ≤ N.
To find the response of the first-order system to this input signal, we need to compute y[n] for each value of n from 0 to N.
3. Since y[n] depends on y[n-1], we need an initial condition for y[0]. If not given, we'll assume y[0] = 0.
4. Now, for each value of n from 1 to N, calculate y[n] using the difference equation and the input signal x[n]:
  y[n] = 0.8y[n-1] + 0.2*cos(2π(b/fs/n)n^2/3)
5. Repeat this calculation for all values of n within the specified range (0 ≤ n ≤ N) to obtain the system response y[n].
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Answer:

Step-by-step explanation:

39 plus 38 eqauls 77 +40=107-30=87 hope this helped please mark me brainliest.   :)

a. The price of the consol is approximately $133.33.

b. The new price of the consol would be $100. The price of the consol falls by 24.99% and the interest rate rises by 1%.

c. Your holding period return is approximately -49.99%.

a. The price of the consol can be calculated using the formula for the present value of a perpetuity:

Price = Annual Payment / Interest Rate

In this case, the annual payment is $4 and the interest rate is 3%. Substituting these values into the formula:

Price = $4 / 0.03 ≈ $133.33

Therefore, the price of the consol is approximately $133.33.

b. To calculate the new price of the consol if the interest rate rises to 4%, we use the same formula:

New Price = Annual Payment / New Interest Rate

Substituting the values, we get:

New Price = $4 / 0.04 = $100

The percentage change in the price of the consol can be calculated using the formula:

Percentage Change = (New Price - Old Price) / Old Price * 100

Substituting the values, we have:

Percentage Change in Price = ($100 - $133.33) / $133.33 * 100 ≈ -24.99%

The percentage change in the interest rate is simply the difference between the old and new interest rates:

Percentage Change in Interest Rate = (4% - 3%) = 1%

Comparing the two percentages, we can see that the price of the consol falls by approximately 24.99%, while the interest rate rises by 1%.

c. The holding period return can be calculated using the formula:

Holding Period Return = (Ending Value - Initial Value) / Initial Value * 100

The initial value is the purchase price of the consol, which is $133.33, and the ending value is the price of the consol after one year with an interest rate of 6%. Using the formula for the present value of a perpetuity, we can calculate the ending value:

Ending Value = Annual Payment / Interest Rate = $4 / 0.06 = $66.67

Substituting the values into the holding period return formula:

Holding Period Return = ($66.67 - $133.33) / $133.33 * 100 ≈ -49.99%

Therefore, the holding period return is approximately -49.99%.

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Answer:

112

Step-by-step explanation:

the formula for area is length times width,so in this case 14×8 = the area

A and B are 2 x 2 with columns a1, a2, and b1, b2, respectively. AB = [a1 b1 a2 b2].

Each column of AB is a linear combination of the columns of B using weights from the corresponding column of A.So, we have:AB=⎡⎣⎢⎢a1a2⎤⎦⎥⎥[b1b2]=[a1b1+a2b2a1b1+a2b2]The order of AB is 2 × 2.Therefore, the blank will be filled by "2 × 2". Hence, the answer is 2 × 2.

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The probability that the teacher chooses all four girls is approximately 0.048, or 4.8%.

To find the probability of choosing all four girls, we need to determine the total number of ways to choose four students from the group of boys and girls, as well as the number of ways to choose four girls.

The total number of ways to choose four students from a group of 6 boys and 7 girls is given by the combination formula:

C(13, 4) = 13! / (4!(13-4)!) = 715

The number of ways to choose four girls from a group of 7 girls is given by the combination formula:

C(7, 4) = 7! / (4!(7-4)!) = 35

Therefore, the probability of choosing all four girls is:

P(All four girls) = Number of ways to choose four girls / Total number of ways to choose four students

= 35 / 715

≈ 0.048

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When computing a confidence interval for the slope of a regression line, a plot of the residuals versus the fitted values can be used to check whether the conditions related to the correlation and independence of the observations are met. Specifically, the plot can help determine if the correlation between the predictor variable (x) and the response variable (y) is not equal to zero and if the observations are independent.

The residuals versus fitted values plot allows us to assess the presence of patterns or trends in the data that violate the assumptions of the regression model. If the plot shows a clear pattern, such as a curved or nonlinear relationship, it suggests that the variables x and y may not be linearly related, which is an important assumption for computing the confidence interval for the slope. Additionally, if the plot exhibits a funnel-shaped or fan-like pattern, it indicates heteroscedasticity, which means that the standard deviation of y does vary as x varies. This violates the assumption of constant variance, which is needed for accurate inference on the slope. In summary, the residuals versus fitted values plot helps us evaluate the assumptions of linearity, independence of observations, and constant variance in order to ensure the validity of the confidence interval for the slope of the regression line.

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Answer:

B

Step-by-step explanation:

Circumference=(pi)d

3*3.14=9.42