In a box of assorted cookies, 36% contain chocolate and 12% contain nuts. In the box, 8% contain both chocolate and nuts. Sean is allergic to both chocolate and nuts.Let C = be the event that the cookie contains chocolate.Let N = the event that the cookie contains nuts.i. Draw a Venn diagram for the given data.ii. Find the probability that a cookie contains chocolate or nuts.iii. Find the probability that a cookie does not contain chocolate or nuts.

Answer:

All you have to do is image flipping the triangle on the right over and then you'll see they are equal. You can also look at AB and DE and see they both are right angles.

Step-by-step explanation:

Answer:6

Step-by-step explanation:

4(2)^4 − 2(7)^2 + 40

4(16)-2(7)^2+40

64-2(49)+40

64-98+40

-34+40

6

Answer:

6

Step-by-step explanation:

4a^4 - 2b^2 + 40

Put a = 2 and b = 7

4(2)^4 - 2(7)^2 + 40

Solve the powers first.

4(16) - 2(49) + 40

Multiply.

64 - 98 + 40

Add and subtract.

= 6

Answer:

2

Step-by-step explanation:

because average of 1 and 2 is 1.5 rounded is 2

The standard deviation of your revenues in a day is 14.

The square root of the variance is used to calculate the standard deviation, a statistic that expresses how widely distributed a dataset is in relation to its mean.

Let x be the revenue from hats.

And let y be the revenue from sunglasses.

And z be the total revenue.

Then according to the question:

z = 10x + 5y

You know the expected number of hats sold in a day is 10 with standard deviation 1.

σₓ = 1

σy = 2

Taking squares of both of the equation.

σₓ² = 1² = 1

σy² = 2² = 4

To find the standard deviation of your revenues in a day:

V(z) = (10)²σₓ² + 5²σy²

V(z) = (100)(1) + (25)(4)

V(z) = 200

Standard deviation,

σz² = √(200)

σz² = 10√(2)

σz² = 14.14

σz² ≈ 14

Therefore, the required standard deviation is 14.

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The results of the requested operations are as follows g ◦ f(x) = -(x^3), (g ◦ f)^(-1)(x) = ∛(-x), g^(-1)(x) = -x. and f^(-1)(x) = ∛x

Let's break down the given functions and perform the requested operations:

Function f(x) = x^3: This function takes an input x and returns the cube of x.

Function g(x) = -x: This function takes an input x and returns the negation of x.

Now, let's compute the requested operations:

a) g ◦ f (composition of g and f):

To find g ◦ f, we substitute the output of f into g. Applying f(x) = x^3 to g(x), we have g(f(x)) = g(x^3) = -(x^3). Therefore, g ◦ f(x) = -(x^3).

b) (g ◦ f)^(-1) (inverse of g ◦ f):

To find the inverse of g ◦ f, we need to find the function that "undoes" the effect of g ◦ f. Since g ◦ f(x) = -(x^3), the inverse function would be the cube root function, denoted as (g ◦ f)^(-1)(x) = ∛(−x).

c) g^(-1) (inverse of g):

To find the inverse of g, we need to find the function that "undoes" the effect of g(x) = -x. In this case, the inverse function would be the negation of x, g^(-1)(x) = -x.

d) f^(-1) (inverse of f):

To find the inverse of f, we need to find the function that "undoes" the effect of f(x) = x^3. The inverse function of f(x) = x^3 would be the cube root function, f^(-1)(x) = ∛x.

Therefore, the results of the requested operations are as follows:

g ◦ f(x) = -(x^3)

(g ◦ f)^(-1)(x) = ∛(-x)

g^(-1)(x) = -x

f^(-1)(x) = ∛x

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Answer: 8$

Step-by-step explanation:

Kaylie has 6 biscuits in total and she also has a cup of coffee so she spend 8 dollars in total.

Answer:

b+c=8

Step-by-step explanation:

Kaylie bought 6 biscuits and 1 cup of coffee, the price of the coffee is $2 per cup, the price of the biscuits is $1 per biscuit, so the price of the biscuit and the price of the coffee together is: $8.

hope you have a good day!!

Answer:

  x = -2, x = 2

Step-by-step explanation:

The denominator factors as ...

  x^2 -4 = (x -2)(x +2)

The numerator has no factors that cancel either of these, so the function will have vertical asymptotes where the denominator is zero: at x = -2 and x = 2.

20, 23,24,27,29,21,22,44,41,33, 12

Step-by-step explanation:

46

Answer:

x -intercept  ---> (-6,0)

y-intercept ---> (0, 9)

Step-by-step explanation:

3x = -18

3x/3 = -18/3

x = (-6,0)

-2y = -18

-2y/-2 = -18/-2

y = (0, 9)

When the second derivative of a function equals zero, it indicates a possible point of inflection or a critical point where the concavity of the function changes. It is a significant point in the analysis of the function's behavior.

The second derivative of a function measures the rate at which the slope of the function is changing. When the second derivative equals zero at a particular point, it suggests that the function's curvature may change at that point. This means that the function may transition from being concave upward to concave downward, or vice versa.

Mathematically, if the second derivative is zero at a specific point, it is an indication that the function has a possible point of inflection or a critical point. At this point, the function may exhibit a change in concavity or the slope of the tangent line.

Studying the second derivative helps in understanding the overall shape and behavior of a function. It provides insights into the concavity, inflection points, and critical points, which are crucial in calculus and optimization problems.

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When the second derivative of a function equals zero, it indicates a critical point in the function, which can be a maximum, minimum, or an inflection point.

The second derivative of a function measures the rate at which the slope of the function is changing. When the second derivative equals zero, it indicates a critical point in the function. A critical point is a point where the function may have a maximum, minimum, or an inflection point.

To determine the nature of the critical point, further analysis is required. One method is to use the first derivative test. The first derivative test involves examining the sign of the first derivative on either side of the critical point. If the first derivative changes from positive to negative, the critical point is a local maximum. If the first derivative changes from negative to positive, the critical point is a local minimum.

Another method is to use the second derivative test. The second derivative test involves evaluating the sign of the second derivative at the critical point. If the second derivative is positive, the critical point is a local minimum. If the second derivative is negative, the critical point is a local maximum. If the second derivative is zero or undefined, the test is inconclusive.

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Creating a discussion question, evaluating prospective solutions, and brainstorming and evaluating possible solutions are steps in problem-solving.

What is problem-solving?

Problem-solving is the method of examining, analyzing, and then resolving a difficult issue or situation to reach an effective solution.

Problem-solving usually requires identifying and defining a problem, considering alternative solutions, and picking the best option based on certain criteria.

Below are the steps in problem-solving:

Step 1: Define the Problem

Step 2: Identify the Root Cause of the Problem

Step 3: Develop Alternative Solutions

Step 4: Evaluate and Choose Solutions

Step 5: Implement the Chosen Solution

Step 6: Monitor Progress and Follow-up on the Solution.

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Answer

The probability of this occurring is 1/7

Step-by-step explanation:

Okay, here is a probability question.

From the question, we can identify the following;

Total number of socks = 2 + 4 + 2 = 8 socks

Since we are not given the order in which the socks was worn, we can assume any order.

Let’s say the right leg socks was worn first.

From the question, the socks on the right leg is a brown one.

So now let’s calculate the probability of selecting a brown socks out of the mix

That would be ;

number of brown socks/ total number of socks = 4/8 = 1/2

Now, for the left foot, we are having white sock here.

Kindly recall that since we already have a sock on the right foot, we have 7 socks left to pick from.

Now we need the probability of picking a white sock from the total 7. That would be ; 2/7

So the probability of both action occurring is simply the product of both probabilities and that is ;

1/2 * 2/7 = 1/7

Answer:

1

Step-by-step explanation:

The second power and square root cancel each other (second power means squared by the way)

Answer:

I think its 5%

12/240=0.05

0.05=5%

Sorry if its wrong I haven't studied about percentages yet in school

Answer:

5%

Step-by-step explanation:

12/240=0.05

which is 5 percent so 12/240=0.05=5%

Let, length of the rectangle = (k) m

∴ Width becomes = (k - 11) m

We know, perimeter of a rectangle = 2(l + b)

∴ 2(l + b) = 54

⇒ (k) + (k - 11) = 27

⇒ 2k = 27 + 11 = 38

⇒ k = 19

∴ Dimensions = (k)(k - 11) = 19 m × 8 {answer}.

Answer:

Positive

Step-by-step explanation:

I would estimate the correlation coefficient to be positive, because the slope is up and to the right, with both the x- and y- values becoming larger and larger which indicates that the correlation is positive.

Please mark brainliest!

Answer:

\(y=-\frac{1}{2} +3\)

Step-by-step explanation:

Answer:

y = -1/2x + 3

Answer:

You didn't show the image but whatever the points are on the rectangle just use the rule (-y,x)

Step-by-step explanation:

For example if point T is at (-2,-4) its 90 CCW is (4,-2)

hope this helps :)

Answer:

Step-by-step explanation:

29/40

29 ÷ 40

the answer is 0.725 all you have to do is divide the numerator by the denominator

Answer:

29/40=.725

Step-by-step explanation:

dont know how to explain it, just divide 29/40.

Answer

402 meters ÷ 18 seconds

Step-by-step explanation:

Answer:

402 meters ÷ 18 seconds

Step-by-step explanation:

While doing this sorta math to find the speed it will always be how long  ÷  by how long or time!

The measure of FG is 28 units.

From the image we can say,

ΔEFG and ΔEDG both of them have a side of length 13.

As per the image, ∠EGF=∠EGD=90°.

As in ΔEFD EF=ED, so ∠EDF=∠EFD

So,  ΔEFG and ΔEDG follow ASA congruency.

For that reason, the corresponding parts are equal, so FG = DG.

Or we can say EG is the perpendicular bisector, FG=GD.

⇒5x-17=3x+1.

⇒5x -3x = 1+17.

⇒2x=18

⇒x=\(\frac{18}{2}\)

⇒x = 9.

As FG = 5x-17 = 5×9 - 17=45-17=28.

Hence, the measure of FG is 28.

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The complete question is, "Use Perpendicular Bisectors (you can use perpendicular bisectors of triangles to solve problems.). Find measure, FG. See the attached image"

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Answer:

d = 164

Step-by-step explanation:

- To find the distance between two points, we have to plug the values into the distance formula:

d = √(x2 - x1)² + (y2 - y1)²

d = √(-156 - 4)² + [-38 - (-2)]

d = √(-160)² + (-36)²

d = √(25600) + (1296)

d = √26896

d = 164

Answer:

The first one is square root, the second one is factoring and the third on is quadratic equation

Step-by-step explanation

Hope this helps! :)

Answer:

77

Step-by-step explanation:

If the probability of choosing a red marble is 11/12, then 11/12 of the marbles in the bag must be red. Therefore, the number of red marbles is 84*11/12=7*11=77 marbles. Hope this helps!

ABCD can be square if the distance between all four points is the same.

A square is a two-dimensional closed shape with four equal sides and four corners. The opposite sides of the square are parallel to each other. A square is also a rectangle with equal length and width. A square is an equilateral quadrilateral with all four equal sides and all four equal angles. Square angles are right angles or 90 degrees. Also, the diagonals of the square are equal and bisect at 90 degrees. A square is just a quadrilateral with four equal sides. There are many rectangular objects around us.

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Answer:

$ 422

Step-by-step explanation:

The constant of proportionality that relates the number of cups of cereal, y, to the number of cups of pretzel sticks, x is y= 5/2x.

We have,

A snack mix recipe calls for 10 cups of cereal and 4 cups of pretzel sticks.

Using constant of proportionality

y = kx

where k is the constant

So, put y= 10 and x= 4 then

10 = k (4)

k = 10/4

k= 5/2

Thus, the constant of proportionality is 5/2.

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Answer: 0.949

Step-by-step explanation:

I took the test