What is the value of x? ​

Answer:

400m^3

Step-by-step explanation:

Answer: \(400m^{2}\)

Step-by-step explanation:

In order to solve this square pyramid's volume, we use the formula:

V = 1/3(B)(h)

Now, we plug in what we know. Since it has a square base, the sides of the base are all the same:

1/3(10*10)(12)

Now we solve:

1/3(100)(12)

1/3(1200)

400

Answer:

It is decreased

Hope it helps

Answer:

570

Step-by-step explanation:

yan sagot ko ehh balakajan

Answer:

The first number is zero, and the second number is 17

Step-by-step explanation:

If we triple the first number (which is zero), it would still equal zero. Then, if you double the second number the answer would be 34.

have a good day!! :)

Answer:

Answer D is correct

Step-by-step explanation:

Let us solve this now.

58

× 100

      000

      00

+   58

= 5800

------------------------------------------------------------------------------------------

Let us solve this sum in a different way.

If there's a number to multiply by 100 you can simply put 2 zeros to the other number like this.

58 × 100 = 5800

Using the binomial distribution, the probability of at least 5 people in a population of 200 getting a virus with a probability of 0.02 is 0.1237. The probability of between 70 and 105 people in a population of 300 having a gene with a probability of 0.25 is 0.9189. The probability of rolling a 2 or 3 at least 6 and at most 10 times in 19 rolls of a fair die is 0.0065.

This scenario follows a binomial distribution with n=200 and p=0.02, where n is the number of trials and p is the probability of success. We want to find the probability of at least 5 people getting the virus, which can be written as P(X≥5). Using the binomial probability formula, we get:

P(X≥5) = 1 - P(X<5) = 1 - P(X=0) - P(X=1) - P(X=2) - P(X=3) - P(X=4)

Using a binomial probability table or calculator, we can find the probabilities for each value of X:

P(X=0) = 0.9802, P(X=1) = 0.0392, P(X=2) = 0.0012, P(X=3) = 0.00003, P(X=4) = 0.0000006

Therefore,

P(X≥5) = 1 - (0.9802 + 0.0392 + 0.0012 + 0.00003 + 0.0000006) ≈ 0.038

So the probability that at least 5 people in a population of 200 get the virus is approximately 0.038.

This scenario follows a binomial distribution with n=300 and p=0.25. We want to find the probability that between 70 and 105 people have the gene, which can be written as:

P(70≤X≤105) = P(X≤105) - P(X<70)

Using a binomial probability table or calculator, we can find the probabilities for each value of X:

P(X<70) = 0.015, P(X≤105) = 0.999999999999997

Therefore,

P(70≤X≤105) = 0.999999999999997 - 0.015 ≈ 0.985

So the probability that between 70 and 105 people in a population of 300 have the gene is approximately 0.985.

This scenario follows a binomial distribution with n=19 and p=1/3, where p is the probability of getting either 2 or 3. We want to find the probability that the result is either 2 or 3 at least 6 and at most 10 times, which can be written as:

P(6≤X≤10) = P(X≤10) - P(X<6)

Using a binomial probability table or calculator, we can find the probabilities for each value of X:

P(X<6) = 0.778, P(X≤10) = 0.9999

Therefore,

P(6≤X≤10) = 0.9999 - 0.778 ≈ 0.221

So the probability that the result is either 2 or 3 at least 6 and at most 10 times in 19 rolls of a fair die is approximately 0.221.

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-6-4=-10

-10/-5=2

so 2 is ur answer

A bell-shaped histogram is a type of graph that displays a normal distribution, which is a probability distribution that is symmetrical and has a characteristic bell shape.

The bell-shaped histogram is created by plotting the data on a horizontal axis and the frequency or probability on a vertical axis. The data points are grouped into intervals called bins, and the number of data points that fall into each bin is plotted as a bar. The bars are typically drawn adjacent to one another and connected with lines to create a continuous curve that represents the normal distribution.

The resulting histogram will have a characteristic bell shape, with a high point at the mean, and decreasing frequency or probability as the values move away from the mean in either direction. The width of the curve is determined by the standard deviation of the data, with wider curves indicating greater variation in the data.

The bell-shaped histogram is commonly used in statistical analysis to represent normally distributed data, such as the heights or weights of a population, test scores, or other measurements that tend to cluster around a central value with a predictable range of variation.

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There are 5 ways to tile a 2 x 6 checkerboard using L-shaped tiles of size 2 x 1.

We can approach this problem using recursion. Let T(n) be the number of ways to tile a rectangular checkerboard of size 2 x n using L-shaped tiles of size 2 x 1. We can analyze the possible tiles that can be placed in the last column of the checkerboard, and then use recursion to count the total number of ways to tile the remaining (2 x (n-1)) board.

Consider the last column of the checkerboard. We can place either a vertical tile, or two horizontal tiles in the column.

Case 1: Last column has a vertical tile

In this case, we can place a horizontal tile in the second-to-last column, and then we are left with a (2 x (n-2)) checkerboard to tile. So the number of ways to tile the (2 x n) checkerboard in this case is T(n-2).

Case 2: Last column has two horizontal tiles

In this case, we must also have two horizontal tiles in the second-to-last column, and then we are left with a (2 x (n-4)) checkerboard to tile. So the number of ways to tile the (2 x n) checkerboard in this case is T(n-4).

Therefore, the recursive formula for T(n) is:

T(n) = T(n-2) + T(n-4)

with the base cases:

T(0) = 1 (there is only one way to tile an empty checkerboard)

T(1) = 1 (there is only one way to tile a 2 x 1 checkerboard)

T(2) = 2 (there are two ways to tile a 2 x 2 checkerboard)

Using this formula, we can calculate T(6):

T(3) = T(1) + T(-1) = 1 (since T(-1) = 0)

T(4) = T(2) + T(0) = 3

T(5) = T(3) + T(1) = 2

T(6) = T(4) + T(2) = 5

So there are 5 ways to tile a 2 x 6 checkerboard using L-shaped tiles of size 2 x 1.

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The first law of thermodynamics is a fundamental principle in physics that states energy cannot be created or destroyed, only converted from one form to another. It can be expressed in terms of heat and work through the equation:

ΔU = q - w

where ΔU represents the change in internal energy of a system, q represents the heat added to the system, and w represents the work done on or by the system.

Now, let's address when the quantities q and w would be negative numbers.

1) When q is negative: This occurs when heat is removed from the system, indicating an energy loss. For example, when a substance is cooled, heat is extracted from it, resulting in a negative value for q.

2) When w is negative: This occurs when work is done on the system, decreasing its energy. For instance, when compressing a gas, work is done on it, leading to a negative value for w.

In both cases, the negative sign indicates a reduction in energy or the transfer of energy from the system to its surroundings.

In summary, the first law of thermodynamics can be expressed as ΔU = q - w, and q and w can be negative numbers when energy is lost from the system through the removal of heat or when work is done on the system.

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Amy and Vince must save approximately $323.45 at the beginning of each month to have the $18,000 they need for their trip to Europe in five years  if they can get 5.5% interest in their savings account.

We know that Amy and Vince want to save $18,000 in five years and can earn 5.5% interest in their savings account, we need to adjust the interest rate to a monthly rate.

First, let's calculate the monthly interest rate (r) from the annual interest rate:

r = (1 + annual interest rate)^(1/12) - 1

= (1 + 0.055)^(1/12) - 1

= 0.0045107

Next, let's calculate the number of periods (n) in months:

n = 5 * 12

= 60 months

Using the future value of an ordinary annuity formula, we can solve for the monthly savings (PMT):

PMT = FV / [((1 + r)^n - 1) / r]

where:

FV = Future Value (desired savings amount)

r = Monthly interest rate

n = Number of periods

FV = $18,000

PMT = 18,000 / [((1 + 0.0045107)^60 - 1) / 0.0045107]

≈ $323.45

Therefore, Amy and Vince must save approximately $323.45 at the beginning of each month to have the $18,000 they need for their trip to Europe in five years.

Therefore, the correct option is $323.45.

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The solution set is 1 ≥ f ≥ -4, and the correct number line is the one in option A.

Here we have the inequality:

-1 ≤ -2f + 1 ≤ 9

To solve this, we need to isolate the "f" on the middle.

First, we can subtract 1 in both sides to get:

-2  ≤ -2f ≤ 8

Now we need to divide both sides by -2, remember that this will change the direction of the symbols:

-2/-2 ≥ f ≥ 8/-2

1 ≥ f ≥ -4

So we need to have a line that starts at -4 and ends at 1, the correct option is number line A.

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Given:

Question:

2a - 4b

Step by step explanation:

Step 1:

2×2-4×(-3)

Step 2:

4-4(-3)

Step 3:

4+12

Step 4:

16

So 16 is correct answer

hope it helped you :)

Answer

16

Step-by-step explanation:

2×2-4×-3=

4+12=

16

Answer:

the second one

Step-by-step explanation:

Hello There!

The area of a triangle can be found using this formula

\(A = \frac{1}{2} (a+b)h\)

where a and b = bases and h = height

The trapezoid shown has the following dimensions

top base = 9cm

bottom base = 14 cm

height = 12 cm

slant height = 13 cm

using this information, we plug in the values into the formula

So \(A = \frac{1}{2} (9+14)12\)

the equation we created matches the 2nd equation therefore the second one is your answer

Answer:

3/8 of the pitcher of lemonade remains.

Step-by-step explanation:

They tell us that at first they had 7/8 of a pitcher full of lemonade, and they ask us to know what fraction is left if they have taken 1/2 of the pitcher of lemonade for a while, which means that it would be a subtraction between what had at the beginning and what they have taken, would be:

7/8 - 1/2 = (14 - 8) / 8 * 2 = 6/16 = 3/8

Which means that 3/8 of the pitcher of lemonade remains.

Answer:

40

Step-by-step explanation:

The way you find the area is 1/2 *base*height
In this situation, it would be 1/2 *10*8

When we solve, a half of 10 is 5, and then we multiply 5*8
5*8=40

40

The volume of a rectangular prism with a square base is given by the formula V = S^2 * H, where S represents the side length of the square base and H represents the height of the prism.

In this case, the refrigerator box is shaped like a rectangular prism with a square base of 3-foot sides and a height of 6 feet. To find the volume, we substitute the given values into the formula:

V = (3 ft)^2 * 6 ft

= 9 ft^2 * 6 ft

= 54 ft^3

Therefore, the volume of the refrigerator box is 54 cubic feet.

In the explanation, we used the formula for the volume of a rectangular prism with a square base, which states that the volume is equal to the square of the side length of the base multiplied by the height of the prism. By substituting the given values into the formula, we calculated the volume of the refrigerator box to be 54 cubic feet.

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Answer:

\( \huge \: t = \frac{13}{2} \)

Step-by-step explanation:

\(10t - 5 = 60\)

Using the addition property add 5 to both sides of the equation

That's

\(10t - 5 + 5 = 60 + 5 \\ 10t = 65\)

Divide both sides by 10

\( \frac{10t}{10} = \frac{65}{10} \\ t = \frac{65}{10} \)

Reduce the fraction with 5

We have the final answer as

\(t = \frac{13}{2} \\ \)

Hope this helps you

Answer:

t = 6.5

Step-by-step explanation:

10t - 5 = 60

Add 5 to each side

10t -5+5 = 60+5

10 t = 65

Divide each side by 10

10t/10 = 65/10

t = 6.5

Jessica has three dice with 10 sides, 13 sides and 5 sides respectively and she rolls all dice once and if Z is number of ones occur then

The expectation value i.e, E(Z) is 0.376 and variance V[Z] = 0.321..

Indicator method :

This is a powerful way to find expected counts. This follows from the observation that the number of "good" outcomes in a trial can be counted by first coding each "good" outcome as one, coding each other outcome as zero, and then adding 1 and 0.

let X₁ be the outcome of a 10 sided die

X₂ be the outcome of 13 sided die

X₃ be the outcome of 5 sided die

let l₁ ,I₂ ,I₃ be three indicator functions such that

I₁ =1 if X₁ = 1

=0 otherwise

I₂ = 1 if X₂ = 1

=0 otherwise

I₃ = 1 if X₃ = 1

=0 otherwise

so Z denotes the number of ones showing when the three dice are rolled once.

so Z=I₁ +I₂ +I₃

so E[Z]=E[I₁]+E[I₂]+E[I₃]

so E[I₁]=1×P[X₁=1] = 1/10

E[I₂]=1×P[X₂=1] = 1/13

E[I₃]=1×P[X₃=1] = 1/5

so, E[Z]=1/10+1/13+1/5=49/130 = 0.3769

the variance = V[Z] = V[I₁]+V[I₂]+V[I₃] since the outcomes of the 3 different die are independent to each other hence no covariance term.

V[I₁]= 1²P[X₁=1]- E²[I₁]=1/10 -(1/10)²= 0.09

V[I₂]= 1²P[X₂=1]- E²[I₂]=1/13-(1/13)²= 12/169 = 0.071

V[I₃]= 1²P[X₃=1]- E²[I₃]=1/5 -(1/5)²= 4/25 = 0.16

so V[Z]= 0.09 + 0.071 + 0.16 = 0.321

Hence, the expectation value i.e, E(Z) is 0.3769..

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(i) Both are boys = 0.3575757576, (ii) Both are girls = 0.1575757576 and (iii) one boy and one girl = 0.48484848 are the probabilities.

The Probability in mathematics is the possibility of an event in time. In simple words, how many times that incident is happening in any given time interval.

Given:

A class consists of 60 boys and 40 girls.

To find the probability if two students are chosen at random:

The probability is ¹⁰⁰C₂.

(i) Both are boys,

The probability is ⁶⁰C₂ ÷ ¹⁰⁰C₂.

⁶⁰C₂ ÷ ¹⁰⁰C₂ = 60! / {2! x (60-2)!} ÷ 100! / {2! x (100-2)!}

⁶⁰C₂ ÷ ¹⁰⁰C₂ = 30 x 59 / 50 x 99

⁶⁰C₂ ÷ ¹⁰⁰C₂ =0.3575757576

(ii) Both are girls,

The probability is ⁴⁰C₂ ÷ ¹⁰⁰C₂.

⁴⁰C₂ ÷ ¹⁰⁰C₂ = 40! / {2! x (40-2)!} ÷ 100! / {2! x (100-2)!}

⁴⁰C₂ ÷ ¹⁰⁰C₂ = 20 x 39 / 50 x 99

⁴⁰C₂ ÷ ¹⁰⁰C₂ =0.1575757576

(iii) one boy and one girl,

The probability is ⁴⁰C₁ ×  ⁶⁰C₁  ÷ ¹⁰⁰C₂.

⁴⁰C₁ ×  ⁶⁰C₁  ÷ ¹⁰⁰C₂ =

40! / {1! x (40-1)!}x 60! / {1! x (60-1)!} ÷ 100! / {2! x (100-2)!}

⁴⁰C₁ ×  ⁶⁰C₁  ÷ ¹⁰⁰C₂ = 40x60 / 50 x 99

⁴⁰C₁ ×  ⁶⁰C₁  ÷ ¹⁰⁰C₂=0.48484848

Therefore, the probabilities are (i) Both are boys = 0.3575757576, (ii) Both are girls = 0.1575757576 and (iii) one boy and one girl = 0.48484848

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airport administrators take a sample of airline baggage and record the number of bags that weigh more than 75 pounds. then In this situation of statistics , individual is the cases are the bags or each piece of baggage.

What is a case?

In statistics, the word case is used to refer to the individual from which data is collected. For example, in a study about students' performance, the cases are each of the students.

What is the case in this situation?

Considering the administrators will need to weight and record each bag, the cases are each piece of baggage.

A. Number of bags weighing more than 75 pounds.

B. Average weight of the bags.

C. Each piece of baggage.

D. The airport administrators.

Hence airport administrators take a sample of airline baggage and record the number of bags that weigh more than 75 pounds. then In this situation of statistics , individual is the cases are the bags or each piece of baggage.

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When we compute the deviation of the second observation in the data set from the mean, and find that the result is a negative number, this tells us that there is good reason to use the median as opposed to the mean as a measure of central tendency.

In computing deviations, it is important to note that extremely skewed deviations can increase the normal distributions and make it difficult to use the standard deviation as a measure of central tendency.

So, when the deviation of the second observation is a negative number, the distribution will be affected and it may become better to use the median as a measure of central tendency.

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Complete Question:

We compute the deviation of the second observation in the data set from the mean, and find that the result is a positive number. This tells us that:

there is a positive overall skewness in the data set.

there is good reason to use the median as opposed to the mean as a measure of central tendency.

the first deviation must also be positive.

the second observation is greater than the sample average.

Answer:

_______Y=0.75X-2_______

Answer:

(-4 ,3)

Step-by-step explanation:

Point a lies on -4

Point B lies in between 2 and 4 so lets call it 3

Answer:

ITS BBBBB

Step-by-step

hope this heLPS

Answer:

y < x - 1

Step-by-step explanation:

First, we need to find the equation to represent the linear line. Since the slope is 1 and the y-intercept is -1, after substituting the values to m and b respectively, we would get y = x - 1. Since the shaded area is below the linear line and the line is dotted, not solid, the correct inequality is y < x - 1.

Answer:

9

Step-by-step explanation:

1. Just input the x value with -180:

24 (+) -180 / 12 = answer

2. Follow PEMDAS to solve, which in this case division comes before addition:

24 + (-180 / 12)

24 + (-15)

3. Addition

24 + (-15) or 24 - 15

= 9

Therefore, 24 (+) -180 / 12 equals 9.