Jack won 122 pieces of gum playing hoops at the county fair. At school he gave four pieces to every student in his
math class. He only has 2 remaining. How many students are in his class?

Answer:

15

Step-by-step explanation:

mean means add all the numbers and divide them by how many there are

plot 1: 63 divided by 9 equals 7

plot 2: 330 divided by 15 equals 22

so now we need to subtract 22 minus 7 equals 15

hope this helps

Answer:

15

Step-by-step explanation: you have to add all of the numbers and then divide the answer by the number of numers you added

The number of unit cubes in each category is as follows:(a) Cubes painted red on only one face: 24 (b) Cubes painted red on two faces: 20 (c) Cubes painted red on three faces: 8 (d) Cubes without red paint on their faces: 12.

To solve this problem, let's analyze the different types of cubes based on the number of faces painted red.

(a) Cubes painted red on only one face:

On the big cube, there are 6 faces exposed to the outside. Each face consists of a 2x2 grid of unit cubes. Thus, each face has 4 unit cubes painted red.

Since there are 6 faces, the total number of unit cubes painted red on only one face is 6 * 4 = 24.

(b) Cubes painted red on two faces:

On the big cube, the corner unit cubes have two faces exposed to the outside, and each edge unit cube has three faces exposed. There are 8 corner unit cubes and 12 edge unit cubes in total. Therefore, the number of unit cubes painted red on two faces is 8 + 12 = 20.

(c) Cubes painted red on three faces:

On the big cube, there are 8 corner unit cubes, and each of these cubes has three faces exposed to the outside. Therefore, the number of unit cubes painted red on three faces is 8.

(d) Cubes without red paint on their faces:

To determine the number of unit cubes without red paint on their faces, we subtract the sum of the previous three categories from the total number of unit cubes, which is 64.

Number of cubes without red paint = 64 - (24 + 20 + 8) = 12.

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The sets A {1.2,3,4,6,12}, A{1,2,3,4,6,12,18,24}, and A{1,2,3,6,12} all yield a poset that is a total ordering.

In order for a partially ordered set (poset) to be a total order, every pair of elements must be comparable, i.e., for every pair of elements x, y in A, either x | y or y | x must be true.

Therefore, we should choose a set A that satisfies this condition.Let us consider each set in turn:(1, 4, 16, 64)This set contains powers of 4, which are not all divisible by each other.

For example, 16 | 64, but 16 does not divide 4.

Hence, this set is not a total order.{1.2,3, 4, 6, 12}In this set, 1 divides every other element, so it satisfies the condition for being a total order. Therefore, this set yields a poset that is a total order.

(1, 2, 3, 4, 6, 12, 18, 24)This set has the same elements as the previous set, plus some more. Hence, it also satisfies the condition for being a total order.

Therefore, this set yields a poset that is a total order.{1 , 2, 3, 6, 12}In this set, 1 divides every other element, 2 divides 6 and 12, and 3 divides 6 and 12.

Therefore, it satisfies the condition for being a total order.

Hence, this set yields a poset that is a total order.In conclusion, the sets A {1.2,3,4,6,12}, A{1,2,3,4,6,12,18,24}, and A{1,2,3,6,12} all yield a poset that is a total ordering.

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Answer:

400. just use simple devision and it'll tell you.

B-trees and B+ trees are self-balancing search trees commonly used for efficient storage and retrieval of large amounts of data.

Certainly! Let's break down the statement and explain each component:

B-trees have the following properties:

- The tree is balanced, meaning that all leaf nodes are at the same level.

- Each internal node (except the root) has a minimum and maximum number of keys it can hold.

- All keys in a node are sorted in ascending order.

- Each key corresponds to a subtree, and the keys act as separators between the values in the subtrees.

By balancing the tree and allowing more keys per node, B-trees reduce the number of disk I/O operations required to access data, making them efficient for storage systems.

B+ trees have the following characteristics:

- All keys are stored in the leaf nodes, which are linked together to form a linked list, providing efficient sequential access.

- Internal nodes act as index nodes, storing only keys to guide the search process.

- Leaf nodes also contain pointers to the actual data records, allowing efficient retrieval.

The separation of index nodes and data nodes in B+ trees improves the performance of range queries, as only the leaf nodes need to be traversed. Additionally, the linked list structure of the leaf nodes supports efficient iteration and range scanning.

In summary, the correct statement is that B-trees and B+ trees are types of search trees that are commonly used in database systems and file systems to efficiently store and retrieve large amounts of data. B-trees are self-balancing trees optimized for disk-based storage, while B+ trees extend B-trees with additional features for efficient range queries.

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Answer: He has 4 apples left.

Step-by-step explanation:

5-1=4

(hope this helps)

Answer:4

Step-by-step explanation: James had 5 apples which later he gave one to aliya so 5-1 is 4

Answer:

1 3/4 miles(1.75)

Step-by-step explanation:

it just is

Answer:

5/9-2/12=?

9x8=72

5x8=40

12x6=72

2x6=12

40/72 - 12/72 = 28/72

28/4=7

72/4=18

28/72=7/18

If an asset purchased for $46,200 with a useful life of four years and an expected residual value of $6,300 is sold for $32,600 exactly two years after its purchase, the company will record a loss of $3,300.

The straight-line method is used to allocate the cost of an asset evenly over its useful life. In this case, the asset's initial cost is $46,200, and it has a useful life of four years.

The annual depreciation expense is calculated as the difference between the initial cost and the expected residual value, divided by the useful life:

($46,200 - $6,300) / 4 = $9,225 per year

After two years, the accumulated depreciation would be

2 years x $9,225 = $18,450.

If the asset is sold for $32,600, the loss on the sale would be the difference between the selling price and the book value (initial cost - accumulated depreciation):

$32,600 - ($46,200 - $18,450) = $32,600 - $27,750 = $4,850

However, since the loss ($4,850) exceeds the expected residual value ($6,300), the loss recorded would be limited to the difference between the selling price and the expected residual value:

$32,600 - $6,300 = $26,300

Therefore, the company will record a loss of $3,300 ($26,300 - $23,000) when the asset is sold two years after its purchase.

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Answer:  The equation is written as:   " 7x  +  28  =   8  −  3x " .
  The value for x , when the equation is solved, is:  " -2 ."

Step-by-step explanation:

Let the "unknown number" be represented by the variable, x ;

7 (times) the [sum of: (x + 4)] ; (is the same as):  8 [decreased by]:

  3(times)x ;  
Rewrite:    " 7(x + 4) = 8 − 3x ".   This is the written expression.

____
Now, if we wish to "solve for x" ;
Let's examine the 'left-hand side' of the equation:
     7(x + 4)  ;

Note the 'distributive property' of multiplication:
  a(b + c) = ab + ac ;

____
 So:  7(x + 4) = 7*x + 7*4 =  7x + 28 ;

Now, let's write the entire equation:
  7x + 28 = 8 − 3x  ;
Let's add 3x , and subtract 8 ;  from Each Side of the equation:

 7x + 28 + 3x − 8 = 8  + 3x − 8 ;

→ 7x + 3x + 28 − 8 = 8 − 3x + 3x;

 to get:
 10x + 20  = 0 ;

Now:  Subtract 20 from Each Side of the equation:
  10x + 20 − 20 = 0 − 20 ;

to get:
   10x = -20 ;  Now, divide both sides of the equation by 10 ;

to isolate x on one side of the equation; & to solve for x :

    10x/10 = -20/10 ;
to get:  " x = - 2 " .
____
Alternate method:
 10x + 20 = 0 ;

Divide the Entire Equation by 10 ;

(10x + 20) / 10 = 0____ ;

 to get:  (10x/10) + (20/10) = 0 ;

  →  x + 2 = 0  ;

Now subtract 2 from each side of the equation;

 to isolate x on one side of the equation; & to solve for x :

     x + 2 − 2 = 0 − 2 ;

to get:  " x  =  -2 " .

____

Answer:
 The equation is written as:
 " 7x + 28 =  8 − 3x " .
The value for x, when the equation is solved, is  "-2".
____
Hope this is helpful to you!  Best wishes!
____

Answer:

C: 22

Step-by-step explanation:

The difference between the amount of red and yellow paint is 4. If you were to do 18 tablespoons of red paint, you would need 4 more tablespoons of yellow paint. This results in the answer being 22.

Hope this helps!

Answer:

27 teaspoons. maybe i dont know did this by ratios

Step-by-step explanation:

========================================================

Explanation:

and so on.

We have the arithmetic sequence 50, 60, 70, ...

We'll use the formula below to also plug in n = 20 to determine how many seats there are in the 20th row.

\(a_n = a_1 + d(n-1)\\\\a_n = 50 + 10(n-1)\\\\a_{20} = 50 + 10(20-1)\\\\a_{20} = \boldsymbol{240}\\\\\)

There are 240 seats in the 20th row of the center section.

Answer:

A

Step-by-step explanation:

Answer:

(3,7π/6),(3,11π/6)

Step-by-step explanation:

You let

5 + 4 sin(θ) = −6 sin(θ)

Then get

θ= -1/2

Then you can make it

My english is not well,but my math is good

Answer:

D and E

Step-by-step explanation:

Edge 2020

The rate at which air is being pumped in when the radius of the sphere is 10 cm and increasing at a rate of 2 cm/s is 400π/3 cm³/s.

The volume V of a sphere with radius r is given by V = (4/3)πr³. Taking the derivative of this expression with respect to time t, we get dV/dt = 4πr²(dr/dt). This equation relates the rate of change of volume to the rate of change of the radius. We are given that the radius is increasing at a rate of 2 cm/s, so dr/dt = 2 cm/s.

At the instant when the radius is 10 cm, we can find the rate at which air is being pumped in by substituting r = 10 cm and dr/dt = 2 cm/s into the equation for dV/dt. Thus, we have dV/dt = 4π(10)²(2) = 800π cm³/s.

Therefore, when the radius of the spherical balloon is 10 cm and is increasing at a rate of 2 cm/s, the rate at which air is being pumped in is 400π/3 cubic centimeters per second.

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Answer:

15 times

Step-by-step explanation:

Proportion of times first base is reached = 3 / 10

If Number of times at bat = 50

Number of times first base is reached :

Proportion * Number of times at bats

3/ 10 * 50

(3 * 50) / 10

(150 / 10)

= 15 times

Answer: h ≈ 128.64 centimeters

Step-by-step explanation:

volume = π × radius^2 × height

h ≈ volume / (π × (0.1)^2)

h ≈ 403.5874439 / (π × 0.01)

h ≈ 12,864.1022 cubic centimeters

V = π [(3(\(\sqrt{18/2}\))³/1) - (2(\(\sqrt{18/2}\))⁵/15)] - π [0]

Simplifying this expression will give us the final volume of the solid.

, we need to evaluate the triple integral:

V = ∫₀²π ∫₀ᵣ ∫(18 - 2r²) r dz dr dθ

Integrating with respect to z first, we have:

V = ∫₀²π ∫₀ᵣ (18 - 2r²) r dr dθ

Integrating the volume with respect to r, we get:

V = ∫₀²π [(9r² - 2/3r⁴)]ᵣ₀ dθ

Simplifying the expression inside the brackets and evaluating the integral, we have:

V = ∫₀²π (9r² - 2/3r⁴) dθ

V = π [(9/3)r³ - (2/15)r⁵]ᵣ₀

V = π [(3r³/1) - (2r⁵/15)]ᵣ₀

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We have the following ratio scale:

If we move the DRAWING term to the rght hand side, we get

In our case, the line is 15 inches long, then we have

which gives

Therefore, the answer is 50 inches.

b. The probability that exactly 4 people have access to electricity in this study is 0.1740. c. The probability that less than 4 people have access to electricity in this study is 0.9353. d. The probability that at most 4 people have access to electricity in this study is 0.9722. e. The probability that between 3 and 5 (including 3 and 5) people have access to electricity in this study is 0.4285.

a. The distribution of X is a binomial distribution with parameters n = 18 (sample size) and p = 0.11 (probability of success, i.e., having access to electricity).

b. To find the probability that exactly 4 people have access to electricity, we can use the probability mass function (PMF) of the binomial distribution:

P(X = 4) = C(18, 4) * (0.11)^4 * (1 - 0.11)^(18 - 4)

c. To find the probability that less than 4 people have access to electricity, we sum up the probabilities of having 0, 1, 2, and 3 people with access:

P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)

d. To find the probability that at most 4 people have access to electricity, we can use the cumulative distribution function (CDF) of the binomial distribution:

P(X ≤ 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)

e. To find the probability that between 3 and 5 (including 3 and 5) people have access to electricity, we subtract the probability of having less than 3 people from the probability of having less than 6 people:

P(3 ≤ X ≤ 5) = P(X ≤ 5) - P(X < 3)

Note: The values for parts (b) to (e) can be calculated using the binomial probability formula or by using a binomial probability calculator.

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Answer:

-1/3

Step-by-step explanation:

-1/2 is the answer and try to don't lose points next time.

a) The probability the home team wins is of: 0.7291 = 72.91%.

b) The conditional probability that the home team wins, given that is is behind 5 points by the end of halftime is of: 0.3409 = 34.09%.

c) The conditional probability that the home team wins, given that it is ahead by 5 points at the end of the first quarter is of: 0.9015 = 90.15%.

The z-score of a measure X of a variable that has mean symbolized by \(\mu\) and standard deviation symbolized by \(\sigma\) is obtained by the rule presented as follows:

\(Z = \frac{X - \mu}{\sigma}\)

The mean and the standard deviation for each quarter are given as follows:

Hence for each case, the mean and the standard deviation are given as follows:

The probability of the home team winning is the probability of X being greater than zero for four quarters, hence it is one subtracted by the p-value of Z when X = 0, hence:

\(Z = \frac{X - \mu}{\sigma}\)

Z = (0 - 6)/9.8

Z = -0.61

Z = -0.61 has a p-value of 0.2709.

1 - 0.2709 = 0.7291 = 72.91%.

When the home team is down five points at the end of the halftime, the probability of winning is P(X > 5) for two quarters, hence one subtracted by the p-value of Z when X = 5 as follows:

Z = (5 - 3)/4.9

Z = 0.41

Z = 0.41 has a p-value of 0.6591.

Z =  has a p-value of 0.6591.

1 - 0.6591 = 0.3409 = 34.09%.

When the home team is up five points at the end of the first quarter, the probability of winning is P(X > -5) for three quarters, hence one subtracted by the p-value of Z when X = -5.

Z = (-5 - 4.5)/7.35

Z = -1.29

Z = -1.29 has a p-value of 0.0985.

1 - 0.0985 = 0.9015 = 90.15%.

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Answer: 200

Step-by-step explanation: You can use the Pythagorean theorem for this question. First, you must find a and b. You can do this by finding the distance between North and South, and East and West. For this specific equation, you'd use 200 North - 30 North to get 170 miles on the y-axis. Then, you'd do 50 East + 100 West to get 150 kilometers distance on the x-axis. Now that you have 170 and 150, you can begin the equation

170^2 + 150^2 = c^2

28900 + 22500 = c^2

51400 = c^2

√51400 = √c^2

~226 = c

They are approximately 226 kilometers apart, and 226 is closest to 200, which is B.

The given function is

First, we make x = 0.

Second, we make g(x) = 0.

Third, we graph the points (0, 4) and (-16, 0).

At last, we draw the line through the points to get the line.

The equation in slope-intercept form of the line that passes through (1,8) and is perpendicular to 3x + 7y = 0 is :

y = (7/3)x - (19/3).

To write the equation in slope-intercept form, we need to find the slope of the line that passes through (1,8) and is perpendicular to 3x + 7y = 0.

First, we need to rearrange the equation 3x + 7y = 0 into slope-intercept form:

7y = -3x
y = (-3/7)x

The slope of this line is -3/7.

Since the line we are trying to find is perpendicular to this line, its slope will be the negative reciprocal of -3/7:

m = 7/3

Now we can use the point-slope formula to write the equation of the line that passes through (1,8) with slope 7/3:

y - 8 = (7/3)(x - 1)

Finally, we can rearrange this equation into slope-intercept form:

y = (7/3)x - (19/3)

So, the equation in slope-intercept form of the line that passes through (1,8) and is perpendicular to 3x + 7y = 0 is y = (7/3)x - (19/3).

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To solve the system of equations the value of k must be:

x = k

Here we have the system of equations:

x + 3y = k

x - k = y

We want to solve the equation for x in terms of k, so let's do that.

We can see that y is isolated in the second equation, so let's replace that in the first equation:

x + 3*(x - k) = k

Now we need to isolate x.

x + 3x - 3k = k

4x = k + 3k

4x = 4k

x = 4k/4 = k

x = k

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Answer:

K.

Step-by-step explanation:

To find the value of x, we can substitute x-k for y in the first equation: x + 3(x-k) = k. Simplifying, we get 4x - 3k = k. Adding 3k to both sides, we get 4x = 4k, or x = k. Therefore, x is equal to k.

The variance of X is 0.09.

Formula used: Variance is the square of the standard deviation. T

he formula to calculate variance of a discrete random variable X is given by:

Var(X) = E[X²] - [E(X)]²Calculation:

P(B) = 0.2P(A)

= 0.5P(AB) =

0.1

By definition,

P(A U B) = P(A) + P(B) - P(AB)

⇒ P(A U B) = 0.5 + 0.2 - 0.1

⇒ P(A U B) = 0.6

Now,E[X] = E[1B + ?]

⇒ E[X] = E[1B] + E[?]

Since 1B can have two values 0 and 1.

So,E[1B] = 1*P(B) + 0*(1 - P(B))

= P(B)

= 0.2P(A/B)

= P(AB)/P(B)

⇒ P(A/B)

= 0.1/0.2

= 0.5

So, the conditional probability distribution of ? given B is:

P(?/B) = {0.5, 0.5}

⇒ E[?] = 0.5(0) + 0.5(1)

= 0.5⇒ E[X]

= 0.2 + 0.5

=0.7

Now,E[X²] = E[(1B + ?)²]

⇒ E[X²] = E[(1B)²] + 2E[1B?] + E[?]²

Now,(1B)² can take only 2 values 0 and 1.

So,E[(1B)²] = 0²P(B) + 1²(1 - P(B))= 0.8

Also,E[1B?] = E[1B]*E[?/B]⇒ E[1B?] = P(B)*E[?/B]= 0.2 * 0.5 = 0.1

Putting the values in the equation:E[X²] = 0.8 + 2(0.1) + (0.5)²= 1.21Finally,Var(X) = E[X²] - [E(X)]²= 1.21 - (0.7)²= 0.09

Therefore, the variance of X is 0.09.

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Answer:

$20

Step-by-step explanation:

Say the amount of money spend is x and he uses up half of it. That would mean he has x/2. Then his parents let him wash the car for $7. Finally, you would end up with (x/2)+7 = 17

After you have the equation reverse it (sorry I cant word it any better) you would subtract 7 from 17 to get 10. Then multiply by 2 to get 20.

So the answer would be $20

Answer:

$20

Step-by-step explanation:

Say the amount of money spend is x and he uses up half of it. That would mean he has x/2. Then his parents let him wash the car for $7. Finally, you would end up with (x/2)+7 = 17

After you have the equation reverse it (sorry I cant word it any better) you would subtract 7 from 17 to get 10. Then multiply by 2 to get 20.

So the answer would be $20

Answer:

32 km / hr

Step-by-step explanation:

930 to 1015 is   45 min =   .75 hr

24 km / .75 hr = 32 km /hr