Sum of two numbers = 15 (Addition)

Difference of two numbers =3 (Subtraction)

Find the two numbers.

What is the product of those two numbers? (Multiplication)

Answer:

1487.88

Step-by-step explanation:

Because you have to line the decimals up to make sure you have the correct answer

Step-by-step explanation:

Hint : we will check for each option whether it is an experiment or not by using the concepts of probability first we will check then if a coin is tossed then it is an experiment or not ? then we will check that if a dice is rolled is it an experiment or not and then we will repeat the same process for choosing a marble from a jar

complete step by step answer and event is a set of outcomes of an experiment to which probability is assigned as take an example when we and I the possibility of 5 appearing on the die is an event if for tossing a coin we do not know the result when a coin is tossed in can give any result whether it will be a head or tails so this is an example for a random experiment if a six-sided dice will be rolled then we do not know what is about to come there result can be anything from 126 so it is also an example for random experiment choosing a marble from a jar is also an experiment because we are choosing one marble from the jar and experiment is a work in which a result can be anything hence option d is the correct option not probability is how likely something is about to happen when a coin is tossed there are two possibility outcomes heads or tails show the probability of an outcome 1

( number of ways it can happen )÷

( total number of outcomes)

so when a coin is tossed the total number of outcomes are to solve the probability of a current head is 1/2

The calculation of the area under the standard normal curve to the left of a certain value using the pnorm() function in posit cannot be performed without a specific value being provided.

Using the function pnorm() in posit, the area under the standard normal curve to the left of a certain value can be calculated. The specific value is not provided in the question, so the calculation cannot be performed.

The function pnorm() in posit is used to calculate the cumulative distribution function (CDF) of a standard normal distribution. The CDF gives the probability of a random variable being less than or equal to a certain value. To find the area under the standard normal curve to the left of a specific value, the value needs to be passed as an argument to the pnorm() function.

For example, to find the area to the left of 1.5, the function would be pnorm(1.5). The resulting value would be the probability of a standard normal variable being less than or equal to 1.5. This probability represents the area under the curve to the left of 1.5. To round the answer to four decimal places, the round() function can be used.

Therefore, the calculation of the area under the standard normal curve to the left of a certain value using the pnorm() function in posit cannot be performed without a specific value being provided

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I add one yellow bead and the ratio is now 1:3.There are total 21 yellow bead I added.

Proportion:

A ratio is a mathematical comparison of two numbers. If two groups of given numbers increase or decrease in the same proportion, the proportions are said to be directly proportional to each other. Ratios are indicated by the symbols '::' or '='. Two ratios are said to be proportional if they are equal. For example, the time it takes for a train to travel 50 km/h is equal to the time it takes to travel a distance of 250 km in 5 hours.

Now,

Proportion of green Bead = \(\frac{4}{4+5}\) = 4/9

Proportion of Red Bead = \(\frac{5}{4+5}\) = 5/9

Therefore,

Green bead = 4/9 × 27

                    = 12

Red Bead = 5/9 × 27

                 = 15

Since, I added x yellow bead:

            \(\frac{12}{15+x} = \frac{1}{3}\)

⇒ 15 + x = 12 × 3

⇒ 15 + x = 36

⇒ x = 21

Therefore, 21 yellow bead I added.

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Answer:

3282

Step-by-step explanation:

its correct

The solution set can be described as the line {(2-4t, -1-t, 3t-2, -5-6t)} in R4.  This line can be defined by a vector (4, 1, 1, -6) and any point on the line (2, -1, 0, -5).

The solution set can be described by the line {(2-4t, -1-t, 3t-2, -5-6t)} in R4. To describe this line, we need a point on the line and a vector. The point on the line can be found by setting t = 0, so the point is (2, -1, 0, -5). The vector can be found by subtracting the point from each of the coordinates of the solution set, so the vector is (4, 1, 1, -6). This vector can be used to describe the line in R4, as any point on the line can be expressed as a multiple of the vector plus the initial point on the line. Therefore, the solution set of the system of equations can be described as the line {(2-4t, -1-t, 3t-2, -5-6t)} in R4, defined by the point (2, -1, 0, -5) and the vector (4, 1, 1, -6).

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Answer:

14

Step-by-step explanation:

1/9(3)^4+5

1/9*81+5

9+5

14 is your answer

Answer:

you charge your friend 5110

Answer:

$22.35

Step-by-step explanation:

The amount jack paid  as cash=34.05

The amount paid by gift card   =  4.05

Totally paid at that shop is        =38.10

If one box of nail is 3.15  then,

five boxes cost  15.75

totally paid -five box of nail= the price of hammer

totally paid               =38.10

five box of nail         =15.75

the price of hammer=22.35

PROBLEM 3

ANSWER:

640 per month

SOLUTION:

here, two months are mention directly as first and last month and half month's rent is asked so,

totally they have paid 1600 as  two and a half months rent

so 2.5 multiplied to two it becomes a whole number as 5

therefore,1600 multiplied by 2 is equal to 3200

now if we divide  3200 by 5 we will get one month rent as 640

2 and a half month so 640+640+(640/2) =1600

1280+320=1600

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Answer:

the percentage of band members play the trumpet is 8%

Step-by-step explanation:

The computation of the percentage of band members play the trumpet is shown below:

= Play trumpet people ÷ Total people

= (9 + 3) ÷ (90 + 60)

= 12 ÷ 150

= 8%

Hence, the percentage of band members play the trumpet is 8%

Answer:

Learn vocabulary, terms, and more with flashcards, games, and other study tools. ... The Fee that a driver pays to have automobile insurance is called a ... She receives 7% on her first $1,000 in sales and 15% on the balance of her sales. ... The Jackson's sublet their summer cottage during the winter and spring months.

Step-by-step explanation:

Luna received 9 dollar for each pair of sneakers. She got total 18 dollars for her 2 pairs of sneakers. The equation which we can use to find the amount of money x= total money spent+ money remained.

It is given that, total pair of jumper sneakers she sold at the secondhand market = 2 pairs.

So, total sneakers= 4

Let, she got total x dollar for her jumpy sneakers.

So, here, total money spent= 12 dollars

total money left with her= 6 dollars

Hence, x= 12+ 6 dollars = 18 dollars.

So, total money she got = 18 dollars.

Money for each pair of sneakers= 9 dollars.

Equation for x= total money spent+ money left with her.

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The number of cars that have City MPG between 9 and 14.2 is 13.

The given data for City MPG is: 32907096We have to create a frequency distribution for City MPG using 5 bins.

The upper limits for each bin are 14.2, 19.5, 24.8, 30.1, and 35.4, respectively.

To create the frequency distribution for City MPG using 5 bins, we will follow the below steps:

Step 1: First, we will arrange the given data in ascending order.

The data in ascending order will be:

3, 9, 9, 9, 9, 9, 10, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 13, 13, 13, 13, 13, 13, 14, 14, 14, 14, 14, 14, 14, 15, 15, 15, 15, 15, 15, 15, 16, 16, 16, 16, 16, 16, 16, 16, 16, 17, 17, 17, 17, 17, 17, 17, 18, 18, 18, 18, 18, 19, 19, 19, 19, 19, 20, 20, 20, 20, 20, 20, 21, 21, 21, 21, 21, 22, 22, 22, 22, 22, 23, 23, 23, 23, 23, 24, 24, 24, 24, 25, 25, 25, 26, 26, 26, 26, 27, 27, 27, 27, 27, 28, 28, 28, 29, 29, 29, 30, 30, 30, 30, 30, 30, 30, 31, 31, 31, 31, 32, 32, 33, 33, 34, 34, 34, 36, 36, 36, 36, 37, 38

Step 2: The range of the data is:

Maximum Value (X_max) - Minimum Value (X_min)= 38 - 3= 35

Step 3: Determine the width of each bin.

We will use the following formula to determine the width of each bin:

Width = Range / Number of Bins= 35 / 5= 7

Step 4: Determine the Upper Limit for each bin.1st Bin Upper Limit = 3 + 7 - 1 = 92nd Bin Upper Limit = 9 + 7 - 1 = 153rd Bin Upper Limit = 15 + 7 - 1 = 21

4th Bin Upper Limit = 21 + 7 - 1 = 285

th Bin Upper Limit = 27 + 7 - 1 = 33

Step 5: Count the frequency of each bin.

In order to determine the frequency for each bin, we will count the number of data points that lie within the limits of each bin.

Bin Limits

Frequency

3 - 9139 - 15215 - 2122 - 2829 - 3315 cars have City MPG between 9 and 14.2.

The range for the 1st bin is 3 to 9. The upper limit of the 1st bin is 9 and the number of cars within this range is 13.

Therefore, the number of cars that have City MPG between 9 and 14.2 is 13.

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Answer:

B = 82 c = 82

Step-by-step explanation:

These add up to 360 and since 98 + 98 + 82 + 82 = 360 b and c = 82 Hope this helps!

The correct options will be:

y = x + 6 and 3x - 3y = -18 .... Infinitely many solutions.

y = -2x + 5 and 2x + y = -7 .... No solution.

y = -4x + 11 and -6x + y = 11 ... One solution.

Solving equations

y = -4x + 11 ....... equation i

-6x + y = 11 ...... equation ii

Put equation i into ii.

-6x + y = 11

-6x + (-4x + 11) = 11

-6x - 4x + 11 = 11

-6x - 4x = 11 - 11

-10x = 0

x = 0

Therefore,

x = 0 and y = 11.

This gives a solution for each variable.

y = -2x + 5 ..... i

2x + y = -7 ..... ii

Put equation i into ii

2x + y = -7

2x + (-2x + 5) = -7

2x - 2x = -7 - 5

0 = -12

This indicates no solution.

y = x + 6 ..... i

3x - 3y = -18 ..... ii

Put equation i into ii

3x - 3y = -18

3x - 3(x + 6) = -18

3x - 3x - 18 = -18

3x - 3x = - 18 + 18

0 = 0

This implies that there are infinitely many solutions.

The complete question is:

How many solutions will each system of linear equations have? Match the systems with the correct number of solutions.

y = x + 6 and 3x - 3y = -18

no solution

y = -2x + 5 and 2x + y = -7

Ano

infinitely many solutions

y = --4x + 11 and 6x + y = 11

one solution

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Answer:

sin(θ) = 0.86602540378

Step-by-step explanation:

To find the value of theta, we need to find do the acos of it

θ = acos(1/2)

θ = 60

and then you find sin(60)

sin(60) = 0.86602540378

As a result, it is evident from the steps above that it is impossible to have two numbers with the same LCM and HCF as 12 and 5, respectively.

The biggest integer that is able to divide two or more quantities is known as the highest common factor (HCF) or greatest common factor. Highest refers to the biggest or greatest number. The sharing a common meaning of two or more integers. Feature is an integer that can be used to divide a whole number (a divisor). Write each integer as the sum of one's main characteristics in step one.  Step 3: The HCF of said given integers is the greatest number that can be found among the common factors.

given

1. It is assumed that when Helen thinks of two numbers, they have corresponding HCF and LCM values of 5 and 12.

2. The smallest common multiple shared by two numbers is referred to as the least common number.

LCM of 4 and 6 is 12, for instance.

3. The highest number that divides the two selected numbers, leaving a residue of 0, is referred to as the highest common factor.

HCF of 6 and 8 is 2, for instance.

4. Given that the LCM of Helen's two chosen numbers is 12, even multiples of 12 are the two numbers' common multiples. In light of this, 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, and so forth.

5.The only numbers that may be divided by 5 are 60 and 120. All other numbers have HCF values other than 5. 60 and 120 have an HCF of 60, but not 5.

As a result, it is evident from the steps above that it is impossible to have two numbers with the same LCM and HCF as 12 and 5, respectively.

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The unit vector that has the same direction as the given vector is\(& (3 / \sqrt{ } 58) \mathrm{i}-(7 / \sqrt{58}) \mathrm{j}\).

The given vector(v) is -3i+7j

The unit vector is found by dividing the vector by its magnitude

Unit vector of  \($v=\frac{v}{\|v\|}$\)

The formula of unit vector in the direction of a given vector is:

We have to find the magnitude first

So,

\(& \|v\|\) =\(\sqrt{(3)^{2}+(-7)^{2} } =\sqrt{9+49} =\sqrt{58}\)

\(& \|v\|=\sqrt{58}\)

The unit vector is:

The i, j, and k are the unit vectors in the directions of the x-axis, y-axis, and z-axis respectively in a 3-dimensional plane. i.e.,

\($$\begin{aligned}& =(1 / \sqrt{58})(3 \mathrm{i}-7 \mathrm{j}) \\& =(3 / \sqrt{ } 58) \mathrm{i}-(7 / \sqrt{58}) \mathrm{j}\end{aligned}$$\)

Therefore, the unit vector is \(& =(3 / \sqrt{ } 58) \mathrm{i}-(7 / \sqrt{58}) \mathrm{j}\).

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To solve questions 1 and 2, convert your weight of 130 pounds to 58.5 kilograms by multiplying by 0.45. Convert your height of 5'2" to 1.57 meters by converting feet to inches and then to meters using the provided conversion factor.

For question 1, convert your weight from pounds to kilograms by multiplying it by the conversion factor 0.45 kg/lb. In this case, 130 pounds would be equal to 58.5 kilograms (130 * 0.45).

For question 2, convert your height from feet and inches to meters. First, convert your height in feet to inches by multiplying it by 12 (since 1 foot = 12 inches). Then, add the inches to the total. Next, convert the total inches to meters by multiplying it by the conversion factor 0.0254 m/inch.

In this case, 5 feet and 2 inches would be equal to 1.57 meters ((5 * 12 + 2) * 0.0254).

By converting your weight to kilograms and your height to meters, you can now express your weight and height in metric units.

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If the perimeter of the train ticket is 60 centimeters and it's length is 17 centimeter long it's height is 13 centimeter

A perimeter is a closed path that encompasses, surrounds, or outlines either a two dimensional shape or a one-dimensional length.

To find the perimeter of a rectangle we add all this sides together. This means that the perimeter of a rectangle is given as ;

P = l+l+w+w

P= 2(l+w)

60 = 2( 17+w)

60 = 2( 17+w)

17+w= 60/2

17+ w = 30

w = 30-17

w = 13cm

Therefore the height of the train ticket is 13cm

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This hypothesis aims to determine if the random sample of 2,000 U.S. adults taking an average of 5,863 steps per day with a standard deviation of 2,870 is strong evidence to support the claim that U.S. adults take fewer steps than the 7,000 steps threshold.

The alternative hypothesis in this scenario would be that the average number of steps taken by U.S. adults is less than 7,000 per day. This hypothesis is being tested to determine if there is strong evidence that the true average number of steps per day is lower than the commonly accepted average. The random sample of 2000 U.S. adults helps to ensure that the results are representative of the larger population. The alternative hypothesis for this study would be: "On average, U.S. adults take fewer than 7,000 steps per day."

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The probability that a flight between New York City and Chicago is less than 135 minutes is 0.6667, or approximately 0.67. This means there is a 67% chance that a randomly selected flight will take less than 135 minutes.

In the given problem, we are told that the time to fly between the two cities follows a uniform distribution, with a minimum of 120 minutes and a maximum of 150 minutes. In a uniform distribution, the probability of an event within a certain range is proportional to the length of that range. Therefore, to find the probability of a flight being less than 135 minutes, we need to calculate the length of the range from 120 to 135 minutes and divide it by the length of the entire distribution, which is 150 - 120 = 30 minutes.

The length of the range from 120 to 135 minutes is 135 - 120 = 15 minutes. Dividing this by the length of the entire distribution gives us 15/30 = 0.5, or 50%. However, since the distribution is continuous and the probability of exactly 135 minutes is zero (as the distribution is uniform), the probability of a flight being less than 135 minutes is slightly greater than 0.5. Thus, the correct answer is approximately 0.67.

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Using the given data points and a linear regression tool, the equation of the line of best fit is approximately y = 1.2x - 0.6. Therefore, the value of m (slope) is approximately 1.2.

To find the line of best fit for the given data and determine the value of m in the equation y=mx+b, you can use technology like a graphing calculator or spreadsheet software. Here's a step-by-step explanation:

1. Input the data points: (1, 0), (2, 3), (3,1), (4,4), (5,5)
2. Use the software's built-in linear regression function to find the line of best fit. For example, in Microsoft Excel, you can use the "LINEST" function.
3. The linear regression function will give you the values for m (slope) and b (y-intercept) in the equation y=mx+b.

Using the given data points and a linear regression tool, the equation of the line of best fit is approximately y = 1.2x - 0.6. Therefore, the value of m (slope) is approximately 1.2.

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Answer:

x= 12 cm

Step-by-step explanation:

Answer:

\(x=(4\sqrt{3})/3\)

Step-by-step explanation:

If we know that it is equilateral, we know that all angles are 60 degrees, which makes the top smaller triangle a 30-60-90 triangle. Applying the 30-60-90 triangle theorem, we get x=4/sqrt3. By rationalizing the denominator, we get \(x=(4\sqrt{3})/3\)

Answer:

x= 6

x= 1

Step-by-step explanation:

First we must factor the equation by finding two numbers which when multiplied equal 6, and when added equal -7

-6 * -1 = 6 and -6 - 1 = 7, so our numbers are -6 and -1.

We will then write this factored form as (x - 6)(x - 1)=0

Because of the zero product property (anything multiplied by zero will equal zero), we know that either x - 6 equals zero, or x - 1 equals zero.

This means there will be two solutions.

First, we will do x - 6 = 0. We can simply move the 6 to the other side by adding 6 to both sides. This gets x = 6.

Then, we will do x - 1 = 0. By adding 1 to both sides, we will get x = 1

So finally, we know that x = 6 and x = 1

To find the value of the effective spring constant (k), we are given the masses of oxygen (16.0 atomic mass units) and carbon (12.0 atomic mass units). We will use this information to determine the value of k.

The effective spring constant (k) is a measure of the stiffness of the spring and is usually given in units of force per unit length or mass per unit time squared. In this case, we need to determine k based on the masses of oxygen and carbon.

To find k, we can use the formula for the effective spring constant in a molecular vibration system, which is given by:

K = (ω^2)(μ)

Where ω is the angular frequency of the vibration and μ is the reduced mass of the system.

Since we are given the masses of oxygen and carbon, we can calculate the reduced mass (μ) as follows:

Μ = (m1 * m2) / (m1 + m2)

Where m1 and m2 are the masses of oxygen and carbon, respectively.

Using the given masses:
M1 = 16.0 atomic mass units (oxygen)
M2 = 12.0 atomic mass units (carbon)

We can substitute these values into the equation for μ:

Μ = (16.0 * 12.0) / (16.0 + 12.0)
= 192.0 / 28.0
≈ 6.857 atomic mass units

Now, to find the value of k, we need the angular frequency (ω) of the vibration. Unfortunately, the angular frequency is not provided in the given information. Without the angular frequency, we cannot determine the exact value of k.

Therefore, we can calculate the reduced mass (μ) using the given masses of oxygen and carbon, but we cannot find the value of k without the angular frequency.

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If there is a 20% discount on a $55 sweatshirt, that sweatshirt would now only cost $44.

Answer: $44

Also: The 20% is $11

Answer:

20% of 24cm=20/100×24=4.8cm

Answer:

4.8cm

Step-by-step explanation:

24x20%=20×0.20=4.8cm

Answer:

11/8

Step-by-step explanation:

Simplify 11/4 = 2 3/4

half of 2 = 1

half of 3/4 = 3/8

1 3/8 changed to an inproper fraction = 11/8