What is the least common multiple of 5, 10, and 12? What is the least common multiple of 6, 10, and 12? What is the least common multiple of 2, 4, and 9? help:(

Answer:

900 feet per hour

Step-by-step explanation:

225×4 = 900

15×4=60

the tortoise's rate of speed is 900 feet per hour

hope that helps.

Answer:

A: C=45h+30

B: C=$322.50

Step-by-step explanation:

A: We'll start with the equation for the total charge. Juan is saying he will pay a one time fee of $30, meaning there is 30 dollars added to what ever the hourly wage is. This can be represented by the +30. Now if "h" represents the variable for which the hourly wage will be calculated, and he pays $45 dollars per hour this will be represented as 45h. As an example if I pay you 2 dollars per hour using the same variable "h", this would be represented as 2h. So if you worked for two hours you would get 4 dollars, this is proven by the fact the 2(2) (remeber im replacing the "h" with the hours you worked) obviously 2 times 2 is 4 proving my point. This information will give you the equation you see above.

B: Onto solving for how much Juan will pay. Now you say youre supposed to have 9 answer but this can't be true. All you need to do is plug the hours given into "h" and solve the equation. It should look something like:

C=45h+30

C=45(6.5)+30

Im using a decimal because it should be clear 1/2=0.5

C= 292.5+30

45x6.5 always go with PEMDAS, we are multiplying first. Then add 292.5 plus 30

This results in the answer of:

C=$322.50

Step-by-step explanation:

the slope of the line between the first 2 points must be the same as the slope between the second and the third point.

the slope is y difference / x difference.

so,

b/a = d/c

-3/1.6 = d/1.5

d = -3×1.5 / 1.6 = -4.5 / 1.6 = -2.8125

Answer:

The perimeter of this trapezoid is

7 + 5 + 3 + 7 + 4 = 26 cm

rectangle, A = lw, 4 × 7 = 28 square cm

triangle, A = (1/2)bh, (1/2) × 3 × 4 =

6 square cm

(1/2)(4)(7 + 10) = (1/2)(4)(17) = 34 square cm = 28 square cm + 6 square cm

Answer:

x = 58

\( m\angle 4 = 116\degree \)

Step-by-step explanation:

\( m\angle 2 = m\angle 6..... (1)\\(alternate \: \angle s) \\\\

m\angle 5 + m\angle 6 = 180\degree \\(linear \: pair\: \angle s) \\\\

\therefore m\angle 6 = 180\degree-m\angle 5..... (2)\\\\\)

From equations (1) & (2)

\( m\angle 2 =180\degree-m\angle 5\\\\

\therefore (2x)\degree =180\degree-(x+6)\degree \\\\

\therefore (2x)\degree +(x+6)\degree =180\degree\\\\

\therefore (2x+x+6) \degree =180\degree\\\\

\therefore (3x+6) \degree =180\degree\\\\

3x + 6 = 180\\\\

3x = 180-6\\\\

3x = 174\\\\

x = \frac{174}{3} \\\\

\huge \purple {\boxed {x = 58}} \\\\

\because m\angle 4 = m\angle 2\\(corresponding \: \angle s) \\\\

\therefore m\angle 4 = (2x)\degree \\\\

\therefore m\angle 4 = (2\times 58)\degree \\\\

\huge \orange {\boxed {\therefore m\angle 4 = 116\degree}} \)

The probability of winning $100 by matching exactly three of the first five and the sixth numbers is 0.0018. The probability of winning $100 by matching four of the first five numbers but not the sixth number is 0.0003.

To calculate the probability of winning $100 by matching exactly three of the first five and the sixth numbers, we first need to determine the total number of possible combinations for the first five numbers. Since each of the five numbers can be any number between 1 and 69, there are 69 choose 5 (written as 69C5) possible combinations, which is equal to 11,238,513. Out of these 11,238,513 possible combinations, we need to choose three numbers that will match the drawn numbers and two numbers that will not match. The probability of matching three numbers is calculated as 5C3/69C5, which is equal to 0.0018. The probability of not matching the remaining two numbers is 64C2/64C2, which is equal to 1.

Therefore, the probability of winning $100 by matching exactly three of the first five and the sixth numbers is 0.0018 x 1, which is equal to 0.0018. To calculate the probability of winning $100 by matching four of the first five numbers but not the sixth number, we need to determine the total number of possible combinations for four of the first five numbers. Since each of the four numbers can be any number between 1 and 69, there are 69 choose 4 (written as 69C4) possible combinations, which is equal to 4,782,487.

Out of these 4,782,487 possible combinations, we need to choose four numbers that will match with the drawn numbers and one number that will not match. The probability of matching four numbers is calculated as 5C4/69C4, which is equal to 0.0003. The probability of not matching the remaining number is 64/64, which is equal to 1. Therefore, the probability of winning $100 by matching four of the first five numbers but not the sixth number is 0.0003 x 1, which is equal to 0.0003.

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Answer:

x= 5

Step-by-step explanation:

pythagorean theorem 3^2+4^2=5^2

And it is a 3-4-5 triangle

The symbols p,x, and s represent sample statistics.

- p (pronounced "p-hat") is the sample proportion. It is used to estimate the population proportion. It is computed as the number of successes in the sample divided by the sample size.

-x (pronounced "x-bar") is the sample mean. It is used to estimate the population mean. It is computed as the sum of all the values in the sample divided by the sample size.

- s is the sample standard deviation. It is used to estimate the population standard deviation. It measures how spread out the data is in the sample. It is computed as the square root of the sum of the squared deviations from the sample mean divided by the sample size minus one.

These sample statistics are used to make inferences about the corresponding population parameters, which are denoted by Greek letters such as μ (mu) for the population mean and σ (sigma) for the population standard deviation.

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I think hypotenuse is A 55 feet

Answer:

C = 73 ft

Step-by-step explanation:

a²+b²= c²

= (55x55) + (48+48)

= 3025 + 2304

= 5329

= √5329

= 73

Answer:

divided by 100

Step-by-step explanation:

8,000 / 100 = 8 in the tens, or 80

Answer:

x = 9

Step-by-step explanation:

square each side first to get:

8x - 8 = 64

8x = 72

x = 9

Scatter graphs are used to represent data by using dots or symbols to represent data on two variables. There are two axes, a horizontal (x-axis) and a vertical (y-axis), where the horizontal axis is used for one variable and the vertical axis is used for the other variable. the statement is true.

Scatter graphs can be used to answer different questions about data by analyzing the pattern of the data. The questions that we want to answer using the scatter graph given in the question are:

a) The same athlete had the longest javelin throw and the longest discus throw.

b) The shortest javelin throw was longer than the shortest discus throw.

c) The longest discus throw was shorter than the longest javelin throw.

Answer: a) The same athlete had the longest javelin throw and the longest discus throw. This statement can be observed from the scatter graph by identifying the dots that are the highest and on the right of the graph.

The athlete who had the longest javelin throw also had the longest discus throw. Therefore, the statement is true.

b) The shortest javelin throw was longer than the shortest discus throw.

This statement can be observed from the scatter graph by identifying the dots that are the lowest and on the left of the graph.

The shortest javelin throw is longer than the shortest discus throw. Therefore, the statement is true. c) The longest discus throw was shorter than the longest javelin throw.

This statement can be observed from the scatter graph by identifying the dots that are the highest and on the right of the graph. The longest discus throw is shorter than the longest javelin throw. Therefore, the statement is false.

To conclude, scatter graphs are used to represent data by using dots or symbols to represent data on two variables. They can be used to answer different questions about data by analyzing the pattern of the data.

The scatter graph in the question can be used to determine whether a statement is true or false by identifying the dots that represent the data.

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That it will take the object 3 seconds to reach the ground.

When an object is dropped from a building, the height of the object above the ground can be calculated using the formula h equals negative 4.9 x squared plus 44.1. In this formula, h represents the height in meters and x represents the time in seconds.

To determine the amount of time it will take for the object to reach the ground, we must find the value of x at which h equals zero, since the object will be on the ground at that point. We can express this equation as 0 = -4.9x² + 44.1.

To solve for x, we need to move the constant term (44.1) to the right-hand side of the equation, which gives us 4.9x² = 44.1.

We can then isolate x² by dividing both sides of the equation by 4.9. This leaves us with x² = 9.

Taking the square root of both sides of the equation, we get ±√9 = ±3. Since time cannot be negative, we only consider the positive value of x, which is 3 seconds.

Therefore, we can conclude that it will take the object 3 seconds to reach the ground.

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The values for an unknown continuous variable behavior or estimated future value can be determined by various factors. Here are some key determinants:

1. Data analysis: Analyzing available data is a common approach to determining values for an unknown continuous variable behavior. By examining patterns and trends in the data, statistical techniques can be applied to make predictions or estimations. For example, if you have historical sales data, you can use regression analysis to estimate future sales based on variables like time, marketing spend, or customer demographics.

2.Mathematical models : Mathematical models are often used to determine values for unknown continuous variables. These models are based on mathematical equations that describe the relationships between different variables. For instance, in finance, the Black-Scholes model is used to estimate future stock prices based on variables such as the current stock price, volatility, and time to expiration.

3. Expert judgment: In some cases, expert judgment plays a crucial role in determining values for unknown continuous variables. Experts in a particular field may have deep knowledge and experience that can help make accurate estimations. For example, a medical professional may estimate a patient's future health outcome based on their symptoms, medical history, and clinical expertise.

4. Machine learning algorithms: Machine learning algorithms can also be utilized to determine values for unknown continuous variable behavior. These algorithms learn from historical data and use it to make predictions or estimations. For example, a machine learning model can be trained on past weather data to predict future temperatures.

5. External factors: External factors can also influence the values for an unknown continuous variable. These factors may include economic conditions, social trends, technological advancements, or policy changes. For example, when estimating future housing prices, factors such as population growth, interest rates, and government policies on housing can affect the values.

It's important to note that the determinants may vary depending on the specific context and nature of the unknown continuous variable. Additionally, a combination of these determinants may be used to determine values, depending on the available resources and the level of accuracy required.

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By applying the algebra concept, it can be concluded that Leona ordered 25 boxes of pens.

Algebra is a branch of mathematics that uses symbols and mathematical operations, such as addition, subtraction, multiplication, and division to solve problems.

We have this information:

The price of a box of pens = $8

The price of a box of rubber bands = $4

Total order = 30 boxes

Total payment = $220

Let p symbolize the number of pens and r symbolize the number of rubber bands. Now we have the following equations:

p + r = 30 ....................... (1)

8p + 4r = 220 ............... (2)

To find the value of p and r, we can do it by simplifying the first equation as follows:

p + r = 30

r = 30 - p

Then we can substitute this value into the second equation:

         8p + 4r = 220

8p + 4(30 - p) = 220

8p + 120 - 4p = 220

                 4p = 220 - 120

                      = 100

                   p = 100/4

                      = 25 boxes of pens

So we can calculate the value of r as well:

r = 30 - p

 = 30 - 25

 = 5 boxes of rubber bands

Thus, it can be concluded that Leona ordered 25 boxes of pens.

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Answer : 37 minutes

Step-by-step explanation:

Subtract 25 and 17.23 then divide by 0.21

25-17.23=7.77 divide by 0.21 (21 divided by 100) =37

The maximum area of the field is 640000 square yards. The dimensions of the field is 800 yards by 800 yards

What is a quadratic function?

A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function. It is also known as the polynomial of degree 2 since the greatest degree term in a quadratic function is of second degree. A quadratic function must have at least one second-degree term. It performs algebraic operations.

Given that the fencing of the field is 3200 yard.

Assume that the length of the field be L and the width of the field be W.

The perimeter of a rectangular field is 2 (L + W).

Thus, 2 (L + W) = 3200

Divide both sides by 2:

(L + W) = 1600

L = 1600 - W

The area of the field is A = LW

Substitute L = 1600 - W in the above equation:

A = (1600 - W)W

A = 1600W - W²

The maximum value of a quadratic function f(x) = ax²+bx+c is at x = -b/(2a)

Now compare  1600W - W² with ax²+bx+c

a = -1, b = 1600

The maximum value of A = 1600W - W² is at W = -1600/(2× (-1)) = 800.

Putting W = 800 in L = 1600 - W

L = 1600 - 800

L = 800.

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Answer:

x = 70°

Step-by-step explanation:

We are given that two of the sides are congruent so that will make the triangle isosceles.

We know also that the base angles of an isosceles triangle are congruent so we know a second angle.

< 1 = 55° ( given)

< 2 = 55° ( isosceles Δs have base <s ≅)

Using the fact that the sum of angles in a triangle is 180° we can find the third angle.

< 3 = 180 -55-55 = 70°

The proportion of a normal distribution located between z = .50 and z = -.50 will be 38.2%.

We have,

A normal distribution located between z = 0.50 and z = -0.50,

So,

Now,

From the Z-score table,

We get,

The Probability corresponding to the Z score of -0.50,

i.e.

P(-0.50 < X < 0) = 0.191,

And,

The Probability corresponding to the Z score of -0.50,

i.e.

P(0 < X < 0.50) = 0.191,

Now,

The proportion of a normal distribution,

i.e.

P(Z₁ < X < Z₂) = P(Z₁ < X < 0) + P(0 < X < Z₂)

Now,

Putting values,

i.e.

P(-0.50 < X < 0.50) = P(-0.50 < X < 0) + P(0 < X < 0.50)

Now,

Again putting values,

We get,

P(-0.50 < X < 0.50) = 0.191 + 0.191

On solving we get,

P(-0.50 < X < 0.50) = 0.382

So,

We can write as,

P(-0.50 < X < 0.50) = 38.2%

So,

The proportion of a normal distribution is 38.2%.

Hence we can say that the proportion of a normal distribution located between z = .50 and z = -.50 will be 38.2%.

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Answer:

4 dollars to 7 dollars

Answer:

4 : 7

Step-by-step explanation:

You can just divide by the GCF.

Which is 5.

20/5 = 4

35/5 = 7

The process capability index for the process is 0.1754.

The first sided specification limit will be:

= (Upper specification limit - mean)/(3 × standard deviation)

= (23.1 - 22.9)/(3 × 0.19)

= 0.2/0.57

= 0.3508

The second sided specification limit will be:

= (22.9 - 22.8)/(3 × 0.19)

= 0.1/0.57

= 0.1754

The process capability index for the process is 0.1754 wine it's the lower value.

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Answer:

2 3/4.

Step-by-step explanation:

Eliminate 1/2 from the side with w.

Subtract 1/2 from both sides:

\(3\frac{1}{4} -\frac{1}{2} =\frac{1}{2} -\frac{1}{2} +w\)

\(2\frac{3}{4} = w\)

Answer:

Step-by-step explanation:

height h=1.2 m

radius r= D/2=4.5=2.25 m

Volume V=πr²h=π(2.25)²×1.2  ≈3.18m³

Answer:

A

Step-by-step explanation:

8% of 25 is 2 so 25 + 2 =27

The margin of error for the 92.5% confidence interval to measure the population estimate is 0.0349 .

We have the following confidence interval of proportions in a sample of n people who were polled, with a success probability of and a confidence level of.

In which n = 515

z is the z-score that has a p-value of 1 - 92.5 = 7.5

The margin of error is of:

80 of the 515 participants in a clinical trial exhibited improvement after the treatment.

This means that

92.5% confidence level

So , z is the value of Z that has a p-value of , so .

Margin of error:

\(Z_{\frac{\alpha}{2}}\cdot \sqrt{\frac{p(1-p)}{n} }\) = 0.0349

The margin of error for the 92.5% confidence interval used to estimate the population proportion is of 0.0349 .

In statistics, a confidence interval describes the likelihood that a population parameter would fall between a set of values for a given percentage of the time. Confidence ranges that include 95% or 99% of anticipated observations are frequently used by analysts.

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He mean salary at a local industrial plant is $27,600 with a standard deviation of $5400 . the median salary is $25,200 and the 61st percentile is $29,100, The amount Tom earns (in dollars) is $31,590.

Given that, the mean salary at a local industrial plant is $27,600The standard deviation of salary is $5400The median salary is $25,200The 61st percentile is $29,100We have to find the amount that Tom earns (in dollars) if Tom's salary has a z-score of 0.7.

We need to calculate the z-score using the formula,\(Z = (X - \mu) / \sigma\), where X is the value, μ is the mean and σ is the standard deviation. \(z = (X - \mu) / \sigma 0.7 = (X - 27,600) / 5,400\) Multiplying both sides by 5,400, we get,0.7 × 5,400 = X - 27,600 Add 27,600 on both sides, we get, \(X = (0.7 * 5,400) + 27,600= 3,780 + 27,600= $31,590\) Therefore, The amount Tom earns (in dollars) is $31,590.

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Answer:

y = -2x

Step-by-step explanation:

y = -2x

Check :

y = -2*-2

y = 4

Answer:

+y+=+m%2Ax+%2B+b+

where +m+ is the slope

and +b+ = the y-intercept

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

( -2.4 )

+4+=+m%2A%28-2%29+%2B+b+

+b+=+2m+%2B+4+

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

This is another linear equation

I'll just pick any +m+ and

find +b+

+m+=+-4+

Step-by-step explanation: