Find the sum of the numbers divisible by 7 between 30 and 500

Answer:

81

Step-by-step explanation:

The area of a square is its side length squared so 9^2 is 81

The probability of Event A is 1/360 and the probability of Event B is 1/15.

For Event A, we can calculate the probability by considering the order in which the acts are scheduled.

There are 6 acts, so there are 6 possible choices for the first act. After the first act is scheduled, there are 5 remaining acts, so there are 5 possible choices for the second act.

Similarly, there are 4 possible choices for the third act, and 3 possible choices for the fourth act.

Finally, there are 2 possible choices for the fifth act, and only 1 choice remains for the last act.

Therefore, the total number of possible ways to schedule all 6 acts is:

6 x 5 x 4 x 3 x 2 x 1 = 720

Since we are only interested in one specific order of the first four acts, we need to count the number of ways to schedule the remaining two acts after the first four have been scheduled in the desired order.

There are 2 remaining acts, so there are 2 possible choices for the fifth act.

Only one act remains for the last slot.

Therefore, the total number of ways to schedule all 6 acts such that the acrobat is first, the singer is second, the violinist is third, and the whistler is fourth is:

1 x 1 x 1 x 1 x 2 x 1 = 2

Thus, the probability of Event A is:

P(A) = 2/720 = 1/360

For Event B, we want to count the number of ways to schedule the first four acts as the whistler, the acrobat, the guitarist, and the dancer, in any order.

There are 4 acts, so there are 4 possible choices for the first act. After the first act is scheduled, there are 3 remaining acts, so there are 3 possible choices for the second act.

Similarly, there are 2 possible choices for the third act, and only one choice remains for the fourth act.

Therefore, the total number of possible ways to schedule the first four acts is:

4 x 3 x 2 x 1 = 24

Since we do not care about the order in which the last two acts are scheduled, we can simply choose any two acts from the remaining 2. There are 2 ways to do this.

Therefore, the total number of ways to schedule all 6 acts such that the first four acts are the whistler, the acrobat, the guitarist, and the dancer, in any order is:

24 x 2 = 48

Thus, the probability of Event B is:

P(B) = 48/720 = 1/15

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Answer:

4 1/10 when u have a inproper fraction like that every 10 is one whole number

Answer:

7. x = 105

8. x = 12

Step-by-step explanation:

7. subtract 52 and 53 from 180. equals 75. subtract 75 from 180. equals 105.

8. set the two equations equal to each other and solve. equals 12.

Answer:

$1.85

Step-by-step explanation:

$7.40 divided by four is $1.85. hope this helps with anything.

Answer:

$1.70 per share

Step-by-step explanation:

37.90-36.20=1.70

I do not understand what do you mean

Answer: 1000000

Step-by-step explanation:

5x100

Answer:

A

Step-by-step explanation:

It’s not B, because it’s saying each pound is 1.25 multiplied by the cost. We are looking for the cost, not the amount of pounds.

it isn’t C, because the oranges are sold in 3 pound bags, and the equation is comparing the cost of a 3 pound bag to 1 pound of oranges.

And it isn’t D, because D does the same thing as B, but with The cost of a 3 pound bag.

An equation is formed of two equal expressions. The correct option is A, c=1.25p.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Given that the farm stand sells oranges in 3-lb bags for $3.75. Therefore, the cost of the oranges for a pound is,

Cost of a pound of oranges = $3.75 / 3

                                              = $1.25

Now, if the cost,c for p pounds of oranges is,

Cost, c = Cost of a pound of oranges × Number of pounds

            = $1.25 × p

      c = 1.25p

Hence, the correct option is A, c=1.25p.

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By completing squares we will get the expression:

(x + 7)² = -4

Here we have the quadratic equation:

x² + 22x = 8x - 53

First, move all the terms to the left side, then we will get:

x² + 22x - 8x + 53 = 0

x² + 14x + 53  =0

Now, remember the perfect square trinomial:

(a + b)² = a² + 2ab + b²

Then we can rewrite our expression as:

x² + 2*7*x + 53  =0

Now we can add and subtract 7², then we will get.

x² + 2*7*x + 7² - 7² + 53  =0

(x + 7)² - 7² + 53 = 0

(x + 7)² - 49 + 53 = 0

(x + 7)² + 4 = 0

(x + 7)² = -4

That is the expression we wanted.

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The answer of the question about the points a, b, and c are the sample size is large enough to use the central limit theorem, the mean is $62,000, the standard error $2,700. and the probability of the sample mean is approximately 0.0002.

A) The sample size is large enough to use the central limit theorem for means. This is because the central limit theorem states that the sampling distribution of the mean will approach a normal distribution as the sample size increases, and a sample size of 100 is generally considered to be large enough for the central limit theorem to apply.

B) The mean of the sampling distribution is equal to the population mean, which is $62,000. The standard error of the sampling distribution is equal to the standard deviation of the population divided by the square root of the sample size, or $27,000 / √100 = $2,700.

C) The probability that the sample mean will be more than $2,700 away from the population mean can be found using the standard normal distribution. We can find the z-score for $2,700 using the formula z = (x - μ) / σ, where x is the sample mean, μ is the population mean, and σ is the standard error. Plugging in the values gives us z = ($2,700 - $62,000) / $2,700 = -22.04. Using a standard normal table, we find that the probability of the sample mean being more than $2,700 away from the population mean is approximately 0.0002.

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We can estimate that the percent change in the number of club members from last year to this year is approximately 94.1%. This represents an almost doubling of the club membership.

What is the percent change?

Percentage change is a way to describe the difference between an old value and a new value, expressed as a ratio and then multiplied by 100.

To estimate the percent change in the number of club members, we can use the percent change formula:

percent change = (new value - old value) / old value x 100%

where the "old value" is the number of club members last year and the "new value" is the number of club members this year.

Plugging in the numbers we have:

percent change = (33 - 17) / 17 x 100%

percent change = 16 / 17 x 100%

percent change ≈ 94.1%

Therefore, we can estimate that the percent change in the number of club members from last year to this year is approximately 94.1%. This represents an almost doubling of the club membership.

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Answer:

(a)Increasing: A, B, C, and E.

(b)Decreasing: D and F.

Explanation:

• An, increasing function ,is represented by a graph that ,rises from the left to the right.

• A ,decreasing function ,on the other hand is represented by a graph that ,falls from the left to the right.

From the given graphs:

(a)The graphs that are increasing are A, B, C, and E.

(b)The graphs that are decreasing are D and F.

The equation we need to find will relate the amount of remaining berries to the number of batches of jam the farmer can make is 16 = 2 1/2 + 2 1/4b (option b)

To start with, we know that the farmer picks 16 quarts of berries. Out of those, 2 1/2 quarts cannot be used, which means the farmer has 16 - 2 1/2 quarts of berries that can be used to make jam.

Now, the recipe requires 2 1/4 quarts of berries to make one batch of jam. Let's represent the number of batches of jam the farmer can make with the remaining berries as "b".

Therefore, the equation we need to find will relate the amount of remaining berries to the number of batches of jam the farmer can make is written as,

=> 16 = 2 1/2 + 2 1/4b

Hence the correct option is (b).

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The net asset value of the given mutual fund will be 2.29.

Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,

Division = divide any two numbers or variables called division.

Multiplication = to multiply any two or more numbers or variables called multiplication.

As per the given,

Total assets = $25,500,000

Liabilities = $2,100,000

Total shares = 10,200,000

Net asset = (total assets - total liability)/total shares outstanding

Net assets = (25,500,000 - 2,100,000)/10,200,000

Net assets = 2.29

Hence "The net asset value of the given mutual fund will be 2.29".

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thae answer is something true

Answer:

x = 3/2 or x = -1

Step-by-step explanation:

2x² - x - 3 = 0

2*(-3) = -6

Factors of -6:

(-1, 6), (1, -6), (-2, 3), (2, -3)

We need to find a pair that adds up to the co-eff of x which is (-1)

Factors :(2,-3)

2 - 3 = -1

so, 2x² - x - 3 = 0 can be written as:

2x² + 2x - 3x - 3 = 0

⇒ 2x(x + 1) -3(x + 1) = 0

⇒ (2x - 3)(x + 1) = 0

⇒ 2x - 3 = 0 or

x + 1 = 0

⇒ 2x = 3 or x = -1

⇒ x = 3/2 or x = -1

Answer:

If u decompose in prime factors,u get 175=52•7 so the smallest perfect cube is the number that we must multiply by 5 and by 7 so to create the smallest perfect cube,i.e. 53•73. This number is K=5•72=245

Answer:

y= -2x-1

Step-by-step explanation:

Use y-y1=m(x-x1)

The scale factor used to dilate triangle ABC to create triangle A'B'C' is approximately 1/4(Option- D).

To determine the scale factor used to dilate triangle ABC to create triangle A'B'C', we can use the formula:

scale factor (k) = length of corresponding sides in A'B'C' / length of corresponding sides in ABC

Let's begin by finding the lengths of the corresponding sides in each triangle:

- AB =\(\sqrt((12 - (-8))^2 + (12 - 8)^2) = \sqrt(20^2 + 4^2) = \sqrt(416)\)

- A'B' = \(\sqrt((3 - (-2))^2 + (3 - (-2))^2) = \sqrt(5^2 + 5^2) = \sqrt(50)\)

- BC = \(\sqrt((0 - 12)^2 + (12 - 12)^2) = 12\)

- B'C' = \(\sqrt((0 - 3)^2 + (12 - 3)^2) = \sqrt(9 + 81) = \sqrt(90)\)

- AC = \(\sqrt((0 - (-8))^2 + (12 - 8)^2) = \sqrt(8^2 + 4^2) = \sqrt(80)\)

- A'C' =\(\sqrt((0 - (-2))^2 + (12 - (-2))^2) = \sqrt(2^2 + 14^2) = \sqrt(200)\)

Now, we can substitute these values into the formula and solve for the scale factor:

k = (A'B' / AB + B'C' / BC + A'C' / AC) / 3

 = \(\sqrt(50) / \sqrt(416) + \sqrt(90) / 12 + \sqrt(200) / \sqrt(80)) / 3 = (5 \sqrt (2) + 3 \sqrt (10) + 5 \sqrt (5)) / (12 \sqrt (2)) = (5/12) * (\sqrt (2) + \sqrt (10) + \sqrt (5))(Option-d)\)

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Answer:

a = 8

b = 2

c = 48

Step-by-step explanation:

3 cups of flour is needed to make 24 servings.

3:24

Simplify. First, divide 3 from both sides of the ratio.

(3)/3 : (24)/3

1:8

Next, solve for b. You multiply 2 to 8 to get 16. Next, multiply 2 to 1

1 x 2 = b = 2

Finally, multiply 8 to 6 to get c.

8 x 6 = c = 48

~

Answer:

a)9. b) 12

Step-by-step explanation:

a) | -6 -3 | .

-6-3 = -9

|-9| =9

b) | 0 - 12 |.

0-12=-12

|-12|=12

Answer:

Step-by-step explanation:

The answer is 12 students

Answer:12

Step-by-step explanation:

not d

Step-by-step explanation:

d is not the anser cus it is to small or a purshes

The length of the line segment AB is 5 units.

Unfortunately, you haven't provided any information about PQ such as its location or any other data to help solve the question.

Therefore, it's impossible to determine the length of PQ using the given options. However, here is an explanation of how to find the length of a line segment using the distance formula, which may help you in solving similar questions in the future.

The distance formula is used to find the distance between two points in a coordinate plane, such as the length of a line segment. The formula is:

d = √((x₂ - x₁)² + (y₂ - y₁)²)

where d is the distance, (x₁, y₁) and (x₂, y₂) are the coordinates of the two points.

To use the distance formula, you first need to find the coordinates of the two points that make up the line segment. Then, substitute these coordinates into the formula and simplify to find the distance.

For example, let's say you have two points: A(1, 2) and B(4, 6), and you want to find the length of the line segment AB. Using the distance formula:

d = √((4 - 1)² + (6 - 2)²)
d = √(3² + 4²)
d = √(9 + 16)
d = √25
d = 5

Remember, the distance formula can be applied to any two points in a coordinate plane to find the distance between them.

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Answer:

1,750 students participated in all

Step-by-step explanation:

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