Sebastian's Bagel Shop recorded how many bagels it recently sold in each flavor.
plain bagels 6
onion bagels 6
poppy seed bagels 4
What is the experimental probability that the next bagel sold will be a poppy seed bagel?
Write your answer as a fraction or whole number.
P(poppy seed bagel)

Hi!

To calculate the rate of change between days 4 and 6, we simply take those points, (4, 1503) and (6, 2196) and use the equation in the picture below:

Now, when we plug it in the equation, it looks like this:

\(\frac{2196-1503}{6-4} = \frac{693}{2} = 346.5\)

Therefore, your answer is 346.5 or, rounded, 347.

Meaning, your answer is C

Hope this helps and have a great day! :D

The correct option is D. $5894542.37 is not a reasonable amount for a weekly power bill of a pumping station.

Given that Hp = 246 ft, Q = 33 mgd and efficiency of the pumping station = 82%.

We are to determine the weekly power bill if electricity costs 27 cents/kwh.

We can calculate the power (P) using the formula below:

P = (Q × H × 62.4)/3960

where H is the head in ft, Q is the flow rate in million gallons per day, and 62.4 and 3960 are constants.

So, P = (33 × 246 × 62.4)/3960= 121.72 horsepower

Now, the input power (Pin) can be calculated from efficiency as:

Efficiency = Output power (P) / Input power (Pin)0.82

= 121.72 / Pin Pin

= 121.72 / 0.82

= 148.34 horsepower

The weekly energy consumption can be calculated as:

Energy (E) = Power (P) × Time (t)

Energy = 148.34 × 24 × 7 (24hrs/day and 7 days/week)

Energy = 24924.96 kwh

The weekly power bill can now be calculated as:

Power bill = Energy × Cost per kilowatt hour

Power bill = 24924.96 × 0.27

= $6724.99

= $6725 (to the nearest dollar)

Therefore, the correct option is D. $5894542.37 is not a reasonable amount for a weekly power bill of a pumping station.

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Answer:

True

Step-by-step explanation:

If answered this question before

Answer:

8 (or 8.4)

Step-by-step explanation:

First, the problem states the words: Distinct and positive.

That means that the smallest number we can use is 0.

We can make 10 blanks for 10 numbers for us to fill in.

_ _ _ _ _ _ _ _ _ _

Since 10 is an even number, and the median is not one single number, it will be the middle of the two numbers.

In this case, our two numbers are the 5th and 6th blank.

Any two numbers can be used, as long as they are the same actual value from 10.

Let us first put in the numbers we can, which are the numbers before the two middle blanks.

0,1,2,3, _ _ _ _ _ _

To find the median between two numbers, we can do:

(a+b) divided by 2 = median

We can use the smallest following number, 4. Then the 6th number will have to be 16 for 10 to be in the middle.

Also try the largest possible number for the 5th blank, 9. Then the 6th number will be 11.

4+16 and 9+11 both equal 20, and 20 divided by 2 is 10. So both of these work.

Now let's place the other numbers in for these two equations.

0,1,2,3,4,16,17,18,19,20

0,1,2,3,9,11,12,13,14,15

If we add the numbers of each together, we get:

0,1,2,3,4,16,17,18,19,20=100

0,1,2,3,9,11,12,13,14,15= 80

If we now divide each sum by 10 (to find the average) we get:

10

8

Since both of these were the most we could go, one with the 5th number as small as possible and one with the 5th number as large as possible.

Since the smaller answer we got was 8, the answer must be 8.

(I believe 0 is a positive integer because it doesn't carry a negative sign. If 0 is not a positive integer, the answer is 8.4. Use the same process

Answer:

200×(201-200)=200

(100+900)÷100=10

This is if there are different values for "?"

C(t) = 55 + 10(t - 1) if t > 1 = 115, which is the explicit formula for how much it will cost Jiya to rent the truck for 7 hours.

Let C be the total cost of renting the truck, and let t be the total time (in hours) that Jiya rents the truck for.

Since the rental company charges $55 for the first hour, and then $10 per hour after that, the cost function can be modeled as a piecewise function:

For 0 <= t <= 1, the cost is $55:

C(t) = 55 if 0 <= t <= 1

For t > 1, the cost is $10 per hour:

C(t) = 55 + 10(t - 1) if t > 1

Since Jiya is renting the truck for 7 hours, we can plug in t = 7 to find the total cost:

C(7) = 55 + 10(7 - 1) = 55 + 60 = 115

Therefore, the explicit formula that describes how much it will cost Jiya to rent the truck for 7 hours is:

C(t) = 55 + 10(t - 1) if t > 1

C(7) = 115

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The surface area of the tent is  86 ft²

Therefore,

The base and top are triangular.

Therefore,

area of base = 1 / 2 bh = 1 / 2 × 4 × 3.5 = 7 ft²

area of the tope = 7 ft²

Therefore, the other three rectangular sides are calculated as follows:

area = 6 × 4 = 24 ft²

area = 6 × 4 = 24 ft²

area = 6 × 4 = 24 ft²

Therefore,

Surface area = 7 + 7 + 24 + 24 + 24 = 86 ft²

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Answer:

C

Step-by-step explanation:

Listen, just think about it.

If 5 times “x” is subtracted from 27 (so 27-5x) if the result/answer

(meaning its equal “=“ ) is 9+ than 4 times “x” (soo basically like 4x +9). If you put all of those 2 equations together you get 27 x 5x = 4x + 9.

(I use “x” to as the variable and remember when a variable is next to a number it means you have to multiply whatever that number is)

Answer:

176 d 9 x

Step-by-step explanation:

The value of x is approximately 0.019.

To solve the equation a = b * (c - d) + d + x for x, we can substitute the given values of a, b, c, and d into the equation and solve for x.

Given:

a = 0.16

b = 0.2

c = 0.14

d = 0.01

Substituting these values into the equation, we have:

0.16 = 0.2 * (0.14 - 0.01) + 0.01 + x

Simplifying the equation, we get:

0.16 = 0.2 * 0.13 + 0.01 + x

0.16 = 0.026 + 0.01 + x

0.16 = 0.036 + x

Subtracting 0.036 from both sides of the equation, we have:

0.16 - 0.036 = x

0.124 = x

Therefore, the value of x is approximately 0.124 (rounded to three decimal places).

Please note that there was a discrepancy in the given equation provided. The correct equation should be a = b * (c - d) + d + x, not a=b∗(c−d)+d+x​.

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Answer:

5,868,000

Step-by-step explanation:

2,934,000 x 2 = 5,868,000

g⁻¹(x) = ∛(x²/2 + 3)  is the inverse of  the function g(x)= √(2x³-6)

In mathematics, the inverse function of a function g (also called the inverse of g) is a function that undoes the operation of g.

g(x)= √(2x³-6)

Let g(x) = y

So we can say y = √(2x³-6)

We will then make x the subject:

y = √(2x³-6)

y² = 2x³-6

y² + 6 = 2x³

2x³ = y² + 6

x³ = y²/2 + 6/2

x³ = y²/2 + 3

x = ∛(y²/2 + 3)

since x = g⁻¹(y)  = ∛(y²/2 + 3)

Thus, g⁻¹(x) = ∛(x²/2 + 3)      (Replace y with x)

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Answer:

po 989r9  vcmc cohol,j

Step-by-step explanation:

Step-by-step explanation:

To figure out how much smaller Max's sandbox is, we will divide 25 by 10, 25/10 = 2.5. Max's sandbox is 2.5 times smaller than the one in the park.

To find x we will divide 15 by 2.5 to keep the proportions the same, 15/2.5 = 6, so x = 6 feet.

To find y, we will do the same but with 12.5, 12.5/2.5 = 5, so y = 5 feet.

To find the perimeter, we will add all the sides together, 10 + 6 + 5 = 21, so the perimeter of Max's sandbox is 21 feet.

Hope this helps!

A line with slope m then the slope of a line perpendicular to it is ;M = -2/3

A straight line of the form  y = mx + c has its slope as 'm'

It is constant for a line. The more the slope is, the steeper the line is.

Sign convention takes bottom left to top right going line as positive sloped. And that line which goes from bottom right to top left is taken to have negative slope. Horizontal line has 0 slope and vertical line has infinite slope, as it is now at maximum steepness.

To find the slope m of the given line using the slope formula

\(m = \dfrac{y-q}{x-p}\)

with (p, q ) = (1, 0) and (x₂, y₂ ) = (x, y)  2 points on the line

m =  (3 -0)/(3-1)

m = 3/2

ALso it is given that a line with slope m then the slope of a line perpendicular to it is ;

M = -2/3

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To determine the equation of the tangent plane and normal line of the given curve at the point P(2, -3, 18), we need to find the partial derivatives of the function f(x, y, z) = x^2 + y^2 - 2xy - x + 3y - z - 4.

Taking the partial derivatives with respect to x, y, and z, we have:

fx = 2x - 2y - 1

fy = -2x + 2y + 3

fz = -1

Evaluating these partial derivatives at the point P(2, -3, 18), we find:

fx(2, -3, 18) = 2(2) - 2(-3) - 1 = 9

fy(2, -3, 18) = -2(2) + 2(-3) + 3 = -7

fz(2, -3, 18) = -1

The equation of the tangent plane at P is given by:

9(x - 2) - 7(y + 3) - 1(z - 18) = 0

Simplifying the equation, we get:

9x - 7y - z - 3 = 0

To find the equation of the normal line, we use the direction ratios from the coefficients of x, y, and z in the tangent plane equation. The direction ratios are (9, -7, -1).Therefore, the equation of the normal line passing through P(2, -3, 18) is:

x = 2 + 9t

y = -3 - 7t

z = 18 - t

where t is a parameter representing the distance along the normal line from the point P.

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Answer:

Bricks

Step-by-step explanation:

she collected 2 \(\frac{9}{10}\) pounds of bricks ( change mixed number to improper fraction )

= \(\frac{29}{10}\) pounds

\(\frac{29}{10}\) > \(\frac{21}{10}\)

She collected the greater weight of bricks

The area of the given trapezoidal site is 250,000 sq. ft.

The area of the trapezoidal with the dimensions of both bases and the height is given by the formula,

Area = 1/2 × height × (base1 + base2)

Units: square units

The given trapezoidal site has a base of 150 feet, i.e., base1 = 150 ft; a height of 2000 ft, i.e., height = 2000 ft and a parallel base of 100 feet, i.e., base2 = 100 ft.

Then, the area of the trapezoidal is

= 1/2 × 2000 × (150 + 100)

= 1/2 × 2000 × 250

= 250,000 sq. ft

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Answer:1380

Step-by-step explanation: proportionality constant equals 1150/25=46. 46x30=1380

Answer:

\(n(x)=x-2\)

Step-by-step explanation:

You can notice that between each of the arithmetic sequence there is a addition of 2. So we know that to add a 2 to get the next value. We can write it as n(x) where n is a function where x is the number:

Answer: The answer is D

Step-by-step explanation:

You are supposed to divide both sides of the equation by -3.

Answer:

\(x^4-8x^3+6x^2+40x+25\)

Step-by-step explanation:

Set up the problem as:

\((x^2-4x-5)(x^2-4x-5)\)

Multiply each term in the first part with each term in the second part.

Then, simplify.

We operate as follows:

**First problem:

*We divide the total number of messes by the value of the sum of the ratio.

391 / (14 + 9) = 17

After that, we multiply this value times the ration for the Gooey messes and we will obtain the number of Gooey messes present in the 391 messes:

17 * 14 = 238

So, we can expect 238 Gooey messes.

**Second problem:

*We have 174 purple yogi berries; we will have to calculate the number of berries that represent the 76% if we want to know how many are not purple. We also have the following ration 24:76 here there are 24 purple yogi berries to 76, not purple yogi berries, now we calculate:

So, we would expect 551, not purple yogi berries.

To find the 95% confidence interval for the proportion of all city residents who would respond very supportive or somewhat supportive of the proposal, we need to use the formula:

CI = p ± z*√((p(1-p))/n)

where:
p is the sample proportion
z* is the z-score for the desired confidence level (in this case, 95% corresponds to a z-score of 1.96)
n is the sample size

From the table, we can see that the proportion of respondents who were very supportive or somewhat supportive is (297+401)/1018 = 0.679. So, p = 0.679.

Using the formula, we have:

CI = 0.679 ± 1.96*√((0.679(1-0.679))/1018)
CI = 0.649 to 0.709

Therefore, we can say with 95% confidence that the proportion of all city residents who would respond very supportive or somewhat supportive of the proposal is between 0.649 and 0.709.

To calculate a 95% confidence interval for the proportion of all city residents who would respond "very supportive" or "somewhat supportive" of the proposal, we first need to find the combined proportion of these two categories in the sample.

1. Combine the number of "very supportive" and "somewhat supportive" responses.
2. Calculate the combined proportion: (number of "very supportive" and "somewhat supportive" responses) / (total number of responses).
3. Use the formula for the 95% confidence interval: p ± (1.96 * sqrt(p * (1-p) / n)), where p is the combined proportion, and n is the sample size.

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Negative infinity is a concept that has no direction and function. It is the lowest possible number and is represented by the symbol "-∞".

Negative infinity is the lowest possible number, meaning there is no lower number than negative infinity. It is a concept that has no direction, meaning it is not a specific point on a number line. It is represented by the symbol "-∞", which can be thought of as a point before the beginning of the number line. Negative infinity is an abstract concept, but it is still used in mathematical operations. For example, if you have a set of numbers that contains negative infinity, then the sum of all the numbers in the set will be negative infinity. This is because negative infinity is the lowest possible number, so no matter how large the other numbers in the set are, the sum will always be lower than all of them.Negative infinity can also be used to represent undefined limits. For example, if you are looking at a graph of a function, and the y-axis goes to negative infinity, then the limit of the function at that point is undefined. This is because there is no lower number than negative infinity, so the limit cannot be determined.Negative infinity is a concept that can be confusing, but it is an important part of mathematics. It is used to represent the lowest possible number, as well as undefined limits. It is represented by the symbol "-∞" and has no direction.

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Answer:

A, B and C

Step-by-step explanation:

Given any three side lengths of a right triangle, the longest side is the hypotenuse.

The side lengths  of a right triangle must satisfy the Pythagorean Theorem.

Pythagorean Theorem: \(Hypotenuse^2=Opposite^2+Adjacent^2\)

Option A: \(3, 6, \sqrt{45}\)

\((\sqrt{45})^2=3^2+6^2\\45=36+9\\45=45\)

True

Option B: 2.5, 6, 6.5

\(6.5^2=6^2+2.5^2\\42.25=36+6.25\\42.25=42.25 (TRUE)\)

Option C: \(4, 8, \sqrt{80}\)

\(4, 8, \sqrt{80}\\( \sqrt{80})^2=4^2+8^2\\80=16+64\\80=80 (TRUE)\)

Since all are true, the side lengths in Options A, B and C forms a right triangle,

Answer:

ABC

Step-by-step explanation:

a. The function f(x) = x^7 - 2x^3 + 5 is continuous for all real values of x. In interval notation, we can express this as (-∞, +∞).

b. The function f(x) = (x^2 - 9)/(x^2 - 4) is continuous for all x except x = ±2. In interval notation, we can express this as (-∞, -2) ∪ (-2, 2) ∪ (2, +∞).

c. The function f(x) = √(x + 1)/x is continuous for all x > -1. In interval notation, we can express this as (-1, +∞).

d. The function f(x) = sin(1/(x^2 - 1)) is continuous for all x such that x^2 - 1 ≠ 0. In other words, it is continuous for x values outside the interval (-1, 1). In interval notation, we can express this as (-∞, -1) ∪ (-1, 1) ∪ (1, +∞).

e. The function f(x) = e^(1/x) is continuous for all x ≠ 0. In interval notation, we can express this as (-∞, 0) ∪ (0, +∞).

f. The function (f) (x) = ln (x-3) is continuous for all x > 3. In interval notation, we can express this as (3, +∞).

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Answer:

B.

4*2=8

5*3=15

Answer:

A is 3\5; B is 8\3; C is 3\8; D is 5\3

Step-by-step explanation:

divide or multiply
i don't know  if these are right bc I didn't do them in a long time.

Answer:

x =4 & y = -7

Step-by-step explanation:

this is the right answer