The following table presents the daily high temperatures for the
city of Macon, Georgia, in degrees Fahrenheit, for the winter
months of January and February in a recent year.
66
70
58
51

The number of people who eat:

Mango only: 36

Orange only: 16

Guava only: 12

At least two fruits: 0

Let M be the set of people who eat mango.

Let O be the set of people who eat orange.

Let G be the set of people who eat guava.

We are given the following information:

|M| = 50 (The cardinality of set M is 50)

|O| = 28 (The cardinality of set O is 28)

|G| = 38 (The cardinality of set G is 38)

|G ∩ O| = 12 (The number of people who eat both guava and orange is 12)

|G ∩ M| = 14 (The number of people who eat both guava and mango is 14)

|G| - |G ∩ M| = 6 (The number of people who eat guava only is 6)

We need to find the number of people who eat:

Mango only:

|M| - |G ∩ M| = 50 - 14 = 36

Orange only:

|O| - |G ∩ O| = 28 - 12 = 16

Guava only:

|G| - (|G ∩ M| + |G ∩ O|) = 38 - (14 + 12) = 12

At least two fruits:

|G ∩ O ∩ M| = |G ∪ O ∪ M| - (|M| + |O| + |G|) = 80 - (50 + 28 + 38) = 80 - 116 = 0 (since we know that everyone eats at least one fruit, there are no people who eat at least two fruits)

Using set notation, the number of people who eat each category can be represented as follows:

Mango only: |M - (G ∩ M ∪ O ∩ M)| = 36

Orange only: |O - (G ∩ O ∪ O ∩ M)| = 16

Guava only: |G - (G ∩ M ∪ G ∩ O)| = 12

At least two fruits: |G ∩ O ∩ M| = 0 (none)

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Answer:

c and d. just did the lesson and its those two.

Step-by-step explanation:

Answer:

the person above me is right

Step-by-step explanation:

Answer:

$18

Step-by-step explanation:

The values of AB, BC, CD and AD are the distance between their endpoints.

The lengths cannot be determined.

I've attached the required diagram.

The length of the segments cannot be calculated; so, I will give the steps to calculate the lengths.

Approximate to the nearest eighth of an inch.

To approximate to the nearest eighth of an inch means that, you approximate to the nearest 0.125

Assume the length of AB is:

\(AB = 4.51\)

The eighths of an inch are:

0.125, 0.250, 0.375, 0.500, 0.625, 0.750, 0.875, 1.000

0.51 is between 0.500 and 0.625, but it is closer to 0.500.

So, the approximated value would be

\(AB = 4.500\)

Assume BC is:

\(BC = 4.200\)

0.200 is between 0.125 and 0.250, but it is closer to 0.125.

So, the approximated value would be

\(BC = 4.250\)

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The adding the polynomials we get -4x2 - 11x - 5.

Given, the polynomials are (-x2 + 9) and (-3x2 - 11x + 4).

The sum of the polynomials = (-x2 - 9) + (-3x2 - 11x + 4)

The sum of the polynomials is found by removing the parathesis and grouping the like terms.

-x2 - 9 + -3x2 - 11x + 4

= -x2 - 3x2 - 11x - 9 + 4

= -4x2 - 11x - 5

Therefore, the adding the polynomials we get -4x2 - 11x - 5.

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Cohen's conventions for interpreting d, this effect is small. Therefore, the correct answer is a. small.

According to Cohen's conventions for interpreting the effect size (d), the effect described in the study is considered "small." Cohen's conventions provide a general guideline for categorizing the magnitude of an effect size.

In this case, the effect size (d) is calculated to be 0.02. Cohen's conventions typically classify effect sizes as follows:

Small effect: d = 0.2

Medium effect: d = 0.5

Large effect: d = 0.8

Since the effect size of 0.02 is significantly smaller than the threshold for a small effect (0.2), it falls into the "small" category. This means that the difference in the number of words uttered per day between men and women, as reported in the study, is relatively small or negligible in practical terms.

Therefore, the correct answer is a. small.

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The electric field (E-field) associated with the given potential function V(x, z) = 4bx^2 + 4az^3 - 3cz^3 is E = -8bx i - (12az^2 - 9cz^2)j.

To find the electric field (E-field) associated with the given potential function, we need to calculate the negative gradient of the potential. The E-field is given by the following formula:

E = -∇V

Where ∇ is the gradient operator. In this case, the potential function V(x, z) is defined as:

V(x, z) = 4bx^2 + 4az^3 - 3cz^3

To calculate the E-field, we need to take the partial derivatives of V with respect to x and z and then apply the negative sign. Let's calculate each component separately:

Partial derivative with respect to x (dV/dx):

dV/dx = 8bx

Partial derivative with respect to z (dV/dz):

dV/dz = 12az^2 - 9cz^2

Now, we can write the E-field vector as:

E = -∇V = -(dV/dx)i - (dV/dz)j

Substituting the calculated partial derivatives, we have:

E = -8bx i - (12az^2 - 9cz^2)j

Therefore, the electric field (E-field) associated with the given potential function V(x, z) = 4bx^2 + 4az^3 - 3cz^3 is:

E = -8bx i - (12az^2 - 9cz^2)j

Note that the positive constants b and c are included in the E-field expression.

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We need to find the probability that John waits less than 20 minutes for the train.

To find this probability, we need to calculate the area under the density curve from 0 to 20:

P(X < 20) = ∫[0,20] (1/30) dx

P(X < 20) = [x/30] from 0 to 20

P(X < 20) = 20/30 - 0/30

P(X < 20) = 2/3

Therefore, the probability that John waits less than 20 minutes for the train is 2/3 or approximately 0.67.

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Answer:

m= 655.75

Step-by-step explanation:

m=15.75+32d

m=15.75+32x20

m=15.75+640

m= 655.75

Answer:

Step-by-step explanation:

To solve the given equation \(\sf x - y = 4 \\\), we can perform the following calculations:

a) To find the value of \(\sf 3(x - y) \\\):

\(\sf 3(x - y) = 3 \cdot 4 = 12 \\\)

b) To find the value of \(\sf 6x - 6y \\\):

\(\sf 6x - 6y = 6(x - y) = 6 \cdot 4 = 24 \\\)

c) To find the value of \(\sf y - x \\\):

\(\sf y - x = - (x - y) = -4 \\\)

Therefore:

a) The value of \(\sf 3(x - y) \\\) is 12.

b) The value of \(\sf 6x - 6y \\\) is 24.

c) The value of \(\sf y - x \\\) is -4.

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

(a)The optimal order quantity is  4609 units.

(b)The time between orders is  1.98 months.

To determine the optimal order quantity and the approximate time between orders, the Economic Order Quantity (EOQ) model. The EOQ model minimizes the total cost of inventory by balancing ordering costs and carrying costs.

Optimal Order Quantity:

The formula for the EOQ is given by:

EOQ = √[(2DS) / H]

Where:

D = Annual demand

S = Cost per order

H = Holding cost per unit per year

calculate the annual demand (D) using the 2020

sales numbers provided:

D = 651 + 808 + 514 + 174 + 435 + 426 + 687 + 582 + 662 + 1551 + 1295 + 1774

= 9559 units

To calculate the cost per order (S) and the holding cost per unit per year (H).

The cost per order (S) is given as $500.

The holding cost per unit per year (H)  calculated as follows:

H = Carrying cost percentage × Unit value

= 0.30 × $3

= $0.90

substitute these values into the EOQ formula:

EOQ = √[(2 × 9559 × $500) / $0.90]

= √[19118000 / $0.90]

≈ √21242222.22

≈ 4608.71

Approximate Time Between Orders:

To calculate the approximate time between orders, we'll divide the total number of working days in a year by the number of orders per year.

Assuming 360 days in a year and a lead time of 1 week (7 days) for shipping, we have:

Working days in a year = 360 - 7 = 353 days

Approximate time between orders = Working days in a year / Number of orders per year

= 353 / (9559 / 4609)

= 0.165 years

Converting this time to months:

Approximate time between orders (months) = 0.165 × 12

= 1.98 months

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Answer: 6

Step 1: Subtract 6 to get to 0.

-6 - 6 = 0.

Step 2: Add 6.

0 + 6 = 6.

Answer = 6

Answer:

After 10 hours, Jared is the most expensive sitter

Explanation:

Given that Kathy babysits for $7.25 an hour, plus $5.75 in transport cost, and

Jared babysits $7.50 an hour, plus $3.25 in transport cost.

We want to know after how many hours is Jared the most expensive sitter.

In an equation form, we write the cost of babysitting for x hours for

Kathy as: 7.25x + 5.75

Jared as 7.50x + 3.25

We want to know at what value of x is

7.50x + 3.25 > 7.25x + 5.75

Solving for x in the above inequality

Subract 7.25x from both sides:

7.50x + 3.25 - 7.25x > 5.75

0.25x + 3.25 > 5.75

Subtract 3.25 from both sides

0.25x > 5.75 - 3.25

0.25x > 2.5

Divide both sides by 0.25

x > 2.5/0.25 = 10

x > 10

Therefore, after 10 hours, Jared is the more expensive sitter.

The standard deviation of the average drying times is 2.5 minutes.

To find the standard deviation of the average drying times for a sample of 36 paint drying times, we'll use the formula: Standard deviation of the sample mean = Population standard deviation / √(sample size).

In this case, the paint drying times are normally distributed with a mean of 120 minutes and a standard deviation of 15 minutes.

The sample size is 36. Standard deviation of the sample mean = 15 / √(36) = 15 / 6 = 2.5 minutes. So, the standard deviation of the average drying times for the sample is 2.5 minutes.

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Answer:

c

Step-by-step explanation:

Answer: 4 bags

Step-by-step explanation:

Each bag costs $10.
So $40 can buy 4 bags.

Answer:

$400

Step-by-step explanation:

150 + 300 = 450

450 - 50 = 400

Answer:

150+300=450 then 450-50=400

Step-by-step explanation:

I hope this is the right answer  ^-^

Answer:

x = 11

Step-by-step explanation:

By using angle bisector theorem,

"Bisector of an angle divides the opposite side of the angle into two segments such that they are proportional to the other two sides.

\(\frac{AC}{CD}= \frac{AB}{BD}\)

\(\frac{8}{4}=\frac{x+3}{x-4}\)

8(x - 4) = 4(x + 3)

8x - 32 = 4x + 12

8x - 4x = 32 + 12

4x = 44

x = 11

Therefore, value of x is 11.

The area of triangle △ABC, we need to use the formula for the area of a triangle the area of triangle △ABC is 3 square units.

we can use the formula :-
Area = 1/2 * base * height

In this case, we can choose any side of the triangle to be the base, and the perpendicular distance from that base to the opposite vertex as the height. Let's choose side AB as the base. We can see that the height of the triangle is the distance from point C to line AB.
To find the height, we can use the formula for the distance between a point and a line. This formula is:
distance = |Ax + By + C| / √(A^2 + B^2)
where A, B, and C are the coefficients of the equation of the line, and x and y are the coordinates of the point. In this case, the equation of line AB is:
y = 2x + 2
So, A = 2, B = -1, and C = -2. The coordinates of point C are (3,1). Plugging these values into the formula, we get:
distance = |2(3) - 1(1) - 2| / √(2^2 + (-1)^2)
        = |6 - 1 - 2| / √5
        = 3 / √5

Now that we have the height, we just need to find the length of the base. We can use the distance formula to find the length of side AB. The coordinates of points A and B are (-2,0) and (0,4), respectively. Plugging these values into the formula, we get:

AB = √[(0 - (-2))^2 + (4 - 0)^2]
  = √(4 + 16)
  = √20
  = 2√5
Finally, we can plug the values of base and height into the formula for the area:
Area = 1/2 * base * height
    = 1/2 * 2√5 * 3 / √5
    = 3 square units
Therefore, the area of triangle △ABC is 3 square units.

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Answer:

Step-by-step explanation:

Answer:

1:5

Step-by-step explanation:

To simplify the ratio of 4:20, we find the greatest common divisor of 4 and 20, and then we divide 4 and 20 by the greatest common divisor. And your answer is for every 1 triangle there is 5 squares.

5(-2)² - 9

First, solve the one in the bracket which is -2 × -2 which gives us =4

5(4) - 9

Then, multiply 5 with 4 so

20 - 9

Then you'll get 11

Using inequality, we know that Mia needs to buy 41 sets of knives.

So, the number of sets of knives Mia could buy:

At least 657 knives are required by the restaurant, so:

The difference is:

Now, solve as follows:

Rounding off: 41

Therefore, using inequality, we know that Mia needs to buy 41 sets of knives.

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Answer:

$3.45

Step-by-step explanation:

15% of 23 is 3.45

The statement "If a function is differentiable, then it is continuous" is generally true. In summary, if a function is differentiable at a point, it must also be continuous at that point.

Differentiability is a stronger condition than continuity. If a function is differentiable at a point, it means that it has a derivative at that point, indicating the existence of a well-defined tangent line.

A key property of differentiability is that it implies continuity. In other words, if a function is differentiable at a point, it must also be continuous at that point.

On the other hand, a function can be continuous without being differentiable. Continuous functions have no abrupt jumps, holes, or vertical asymptotes in their graphs. However, they may have corners, cusps, or vertical tangents, which prevent them from being differentiable at those points. Therefore, while differentiability guarantees continuity, continuity does not necessarily imply differentiability.

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Complete question - Write the conserve and contrapositive of the following statement- "If a function is differentiable then it is continuous."

Answer:

y = 6.7

x = 8

Step-by-step explanation:

3^2 + 6*2 = y

√9 + 36 = y

6.7 = y

10^2 = 6^2 + x

100 = 36 + x

100 (-36) = 36 (-36) +x

√64 = x

8 = x