The stem-and-leaf plot shows the ages of customers who were interviewed in a
survey by a store.
How many customers were older than 41?

Answer:

12 inches

Step-by-step explanation:

3+4+5=12

48/12=4

3*4=12

Answer:

B.

Step-by-step explanation:

That would be y = (x +10)^2.

The correct answer is (a) event. An event is a subset of outcomes from the sample space. It represents a specific outcome or set of outcomes that we are interested in. Events can be simple, consisting of a single outcome, or they can be compound, consisting of multiple outcomes.

For example, consider rolling a fair six-sided die. The sample space is {1, 2, 3, 4, 5, 6}. Let's say we are interested in the event of rolling an even number. The event in this case would be {2, 4, 6}, which is a subset of the sample space.

Events can also be mutually exclusive, meaning they cannot occur at the same time, or they can be independent, meaning the occurrence of one event does not affect the probability of the other event occurring.

In summary, an event is a subset of outcomes from the sample space and represents a specific outcome or set of outcomes that we are interested in. It is an important concept in probability theory.

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To calculate the number of gallons of water in the tank, we need to find the volume of the cylinder and then multiply it by the fill percentage.

The formula to calculate the volume of a cylinder is:

Volume = π * (radius^2) * height

Given that the diameter of the tank is 20 feet, we can calculate the radius by dividing the diameter by 2:

Radius = 20 ft / 2 = 10 ft

Now, we need to multiply the volume by the fill percentage of 70%: Filled Volume = 2000π ft^3 * 0.70 To convert this volume to gallons, we need to multiply by the conversion factor of 7.5 (1 cubic foot = 7.5 gallons):

Therefore, the approximate number of gallons of water in the tank when it is 70% full is 32,910 gallons (rounded to the nearest whole number).

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Answer:

-1

Step-by-step explanation:

Derivative of cos(x)=-sin(x)

Derivative of e^x=e^x

Derivative of cos(x)-e^x= - sin(x)-e^x

plug in 0 to the spots of x and you will get 1 because sin(0) is 0 e^0 is 1

0-1=-1

The correct answer is option  c. Interval. The level of measurement for the data set described is Interval.

This is so because the data set calculates each student's enrollment in classes during the course of a semester at a particular college.

Numerical information that is measured on a scale with evenly spaced intervals but lacks an absolute zero point is called interval data.

The numerical values themselves do not reflect quantities or have any absolute value, but the intervals between them all have the same size.

The interval between 3 classes and 4 classes, for instance, would be the same as the interval between 8 classes and 9 classes if the data set were measuring the number of classes each student took in a semester, but 3 classes and 8 classes do not have any such absolute value.

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To determine the volume of alcohol in liters that weighs 30 kg, we can use the formula V = W / D, where V is the volume, W is the weight, and D is the density. 30 kg of alcohol will have a volume of 37.5 liters.

Given that the density of alcohol is 0.8 g/cm³ and 1 kilogram is equal to 1000 grams, we can convert the weight from kilograms to grams and then calculate the volume in cubic centimeters (cm³). Finally, we convert the volume from cm³ to liters.
First, we convert the weight from kilograms to grams by multiplying it by 1000:
Weight = 30 kg × 1000 g/kg = 30,000 g
Next, we can calculate the volume using the formula V = W / D:
Volume = 30,000 g / 0.8 g/cm³ = 37,500 cm³
Since 1 liter is equal to 1000 cm³, we can convert the volume from cm³ to liters by dividing by 1000:
Volume in liters = 37,500 cm³ / 1000 = 37.5 L
Therefore, 30 kg of alcohol will have a volume of 37.5 liters.

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If the correlation coefficient has a negative value, then the coefficient of determination: b. must be positive.

A regression line is a statistical line that best describes the behavior of a data set and such, it is a line that best fits a set of data.

A positive correlation can be defined as a terminology that is used to described a scenario (situation) in which two variables move in the same direction and are in tandem.

This ultimately implies that, a positive correlation exist when two variables have a linear relationship or are in direct proportion. Thus, when one variable increases, the other increases, as well.

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Complete Question:

If the correlation coefficient has a negative value, then the coefficient of determination:_________.

a. can take on either a negative or positive value.

b. must be positive.

c. will also have a negative value.

d. will equal zero.

Answer:

i dont now..............................

Step-by-step explanation:

Answer:

Domain = {x | x is a real number}

Look at the step-by-step explanation to get a better understanding

Step-by-step explanation:

Domain = {x | x is a real number}

The function shown  f(x)=5^x-7 is an exponential function with a vertical shift  of  -7 units (shift downwards). Nevertheless, it is an exponential function.

Domain is the set of x-values that we can put into the function. Exponential functions of this type have a domain of "all real numbers". If you see the function, you can figure out that we can put any real number and still there will be no "undefined" or "division by zero" cases.

Thus, this function's domain is the set of all real numbers.

Domain = {x | x is a real number}

Hope you fond this helpful! :)

Answer:

all real numbers

Step-by-step explanation:

Answer:

y = 2/5x - 4

Step-by-step explanation:

y = mx+b  where m is the slope and b is the y intercept

y = 2/5x - 4

Answer: Nicole has 88 erasers in all

Step-by-step explanation:

Number of erasers that Nicole has = 83

Number of erasers given to Nicole= 5

Total number of erasers Nicole has in all = 83+5= 88 erasers

Therefore Nicole has 88 erasers.

Answer:

Quadrant 1

Step-by-step explanation:

Quadrant 1 has positive x and y.

Interactions involving dummy variables can provide insights into the different effects of independent variables across categories.

1. Dummy variables are binary variables that represent categorical variables in a regression analysis. When interactions are included between dummy variables and other independent variables, it allows for differential effects of the independent variables based on the different levels of the categorical variable.

For example, let's consider a regression model to predict income based on education level and gender. We can include an interaction term between education level (represented by dummy variables for different levels) and gender. This interaction term allows us to examine whether the effect of education level on income differs between males and females. It helps capture any gender-specific differences in the relationship between education and income.

1.2 The linear probability model (LPM) is a common approach to estimate the probability of an event occurring using a linear regression framework. However, it has several problems:

1. The predicted probabilities from the LPM can fall outside the [0, 1] range: Since the LPM does not impose any restrictions on the predicted probabilities, they can sometimes exceed the valid probability range. This violates the assumption of probabilities being bounded between 0 and 1.

2. Heteroscedasticity: The LPM assumes constant error variance across the range of the predictors. However, in practice, the variability of the error term may change with different levels of the predictors, resulting in heteroscedasticity. This violates the assumption of homoscedasticity.

3. Non-linearity: The LPM assumes a linear relationship between the predictors and the probability of the event. However, this may not always be the case, and using a linear model can result in misspecification.

To remedy these problems, an alternative to the LPM is to use logistic regression or probit regression models. These models explicitly model the probability of an event occurring and address the issues mentioned above. They provide predicted probabilities that fall within the valid range of 0 to 1, account for heteroscedasticity, and allow for non-linear relationships between the predictors and the probability of the event.

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In order to raise the power of positive integer, we can divide it by negative exponent.

Any whole number that can be positive, negative or zero but not fraction is called integer. Positive whole number is called positive integer. Example of integers are 0,1, 10, 199, 2162, -1516, -67 and so on.

The exponent is a number that implies the number of times a number is multiplied by itself. As example 11³, here 11 is a positive integer and 3 is exponent of 11. The expression 11³ indicate 11 x 11 x11 that means 11 is multiplied by itself in three times.

After division process either we get a whole number or a decimal number as a result. In case of decimal result, we subtract the decimal parts and multiplied by the divisor and this result is called remainder.

5]11[2

   10/1

here 1 is the remainder.

11÷5 = 2.2 we take 0.2 and multiplied by divisor 5 =5 x 0.2=1

1 is the remainder

If we want to raise any positive integer power, we can divide it by negative exponent.

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Write a brief description of how you would find i raised to any positive integer power.

> divide the exponent by 4️⃣

> if the remainder is 1, the result is i

> if the remainder is 2, the result is -1

> if the remainder is 3, the result is -i

> if the remainder is 0, the result is 1

The monic cubic polynomial with integer coefficients is x³ - 3x² + 3x + 2 with the leading coefficient as 1.

In order to find a monic cubic polynomial with integer coefficients, we can use the following method:

Let us assume that the cubic polynomial is of the form:x³ + bx² + cx + d

We need to find the values of b, c, and d such that the polynomial is monic and has integer coefficients.

Since the polynomial is monic, the coefficient of x³ is 1.

Therefore, we can write the polynomial as:x³ + bx² + cx + d = (x - r)(x² + px + q)

Where r is the root of the cubic polynomial, and p and q are constants to be determined.

We know that the sum of the roots of a cubic polynomial is equal to -b/1 = -b.

Therefore, the sum of the roots of our cubic polynomial is equal to:r - p/1 = -bOr,r + p = -b ...(1)

Also, we know that the product of the roots of a cubic polynomial is equal to -d/1 = -d.

Therefore, the product of the roots of our cubic polynomial is equal to r(q - r).

Thus,r(q - r) = -d ...(2)

Solving equations (1) and (2) for r and q, we get:

r = -b/3q = b²/3 - d

Hence, we can write the cubic polynomial as:

x³ + bx² + cx + d = (x + b/3)(x² + (b²/3 - d)x + r(b²/3 - d))

Let us choose d = 2 and r = 1, then we have:b = -3

Substituting these values, we get:x³ - 3x² + 3x + 2 = (x - 1)(x² - 2x - 2)

Therefore, the monic cubic polynomial with integer coefficients is x³ - 3x² + 3x + 2.

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Answer:

I believe the answer 16

Step-by-step explanation:

All you have to do is count.

Answer:

Dan is correct

Step-by-step explanation:

Mean = the sum of all data values divided by the total number of data values

Number of adults in Sample A:

= 70 + 90 + 135 + 140 + 65 = 500

Mean of Sample A:

= [ (1 × 70) + (2 × 90) + (3 × 135) + (4 × 140) + (5 × 65) ] ÷ 500

= 1540 ÷ 500

= 3.08

Number of adults in Sample B:

= 80 + 80 + 130 + 135 + 75 = 500

Mean of Sample A:

= [ (1 × 80) + (2 × 80) + (3 × 130) + (4 × 135) + (5 × 75) ] ÷ 500

= 1545 ÷ 500

= 3.09

Mean of the two samples:

= (3.08 + 3.09) ÷ 2

= 3.085 hours

= 3 hours (nearest hour)

The mean of Sample A is 3.08 hours and the mean of Sample B is 3.09 hours, so the mean of the entire sample is 3.085 hours.  If we round this to the nearest hour, then the mean is 3 hours.  Therefore, Dan is correct in concluding that the adults spend a mean of 3 hours each day doing leisure and sports activities.  

Answer:

A = 70

Step-by-step explanation:

CB is equal to EZ and E equals 35, and E and C are the same, therefore, both E equals 35. Since there's 180 degrees in a triangle, and ABY equals 105, you have to subtract 180 - 105 to get the other angle. When you do that, you get that B equals 75. You have to add E and B (35 + 75), since that's in the same triangle as A. When you do that, you get 110. Subtract 180 - 110 to get A, which is 70.

Answer:

18

Step-by-step explanation:

you always do the parenthesis first

10-7=3

6x3=18

The correct options that could be an example of a function with a domain (-∞0,00) and a range (-∞,4) are given below.Option A. V = -(0.25)x - 4 Option B. V = − (0.25)x+4

A function can be defined as a special relation where each input has exactly one output. The set of values that a function takes as input is known as the domain of the function. The set of all output values that are obtained by evaluating a function is known as the range of the function.

From the given options, only option A and option B are the functions that satisfy the condition.Both of the options are linear equations and graph of linear equation is always a straight line. By solving both of the given options, we will get the range as (-∞, 4) and domain as (-∞, 0).Hence, the correct options that could be an example of a function with a domain (-∞0,00) and a range (-∞,4) are option A and option B.

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Slope = 95,000/2 = $47,500/yearSo, the rate of growth in dollars per year or the slope of the line is $47,500/year.

The given problem is about finding the rate of growth in dollars per year by using the straight-line method.

We have to find the slope of the line that joins the two given points. Therefore, let's start by determining the slope of the line that passes through the two points (1, 30,000) and (3, 125,000).

Slope of a line can be found by using the following formula;Slope=change in y/change in x. Here, the change in y = 125,000 - 30,000 = 95,000The change in x = 3 - 1 = 2

Therefore, Slope = 95,000/2 = $47,500/year. So, the rate of growth in dollars per year or the slope of the line is $47,500/year.

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Answer:

49

Step-by-step explanation:

M<1 = M<2 - Corresponding angles are congruent

M<2 = M<3 - Vertical angles

Answer:

  6)  49°

  7)  30°

Step-by-step explanation:

Where a transversal crosses parallel lines, alternate exterior angles are congruent. Angles 1 and 3 are alternate exterior angles, hence congruent.

  ∠3 = 49° . . . . . . . same as ∠1

__

Angles 5x and x are a linear pair, so supplementary. Angle 'a' corresponds to angle x, so is congruent to it.

  5x +x = 180°

  x = 180°/6 = 30°

  a = 30° . . . . . . . . same as x

Answer:

25.796... km

Step-by-step explanation:

We are given that:

Formula of circumference:

Thus, we can rewrite the circumference as:

Since we are asked to determine the diameter, it is recommended to use the formula (πd). Therefore,

Divide π both sides to isolate the diameter:

Substitute π as 3.14 and simplify:

Therefore, the diameter of the circle is 25.796... km.

The variable X has a binomial distribution in the following distributions:

A. When the medicine is tried with two patients, X is the number of patients for whom the medicine worked.

C. When the medicine is tried with six patients, X is the number of patients for whom the medicine worked.

In a binomial probability distribution, the number of "Successes" in a series of n experiments is represented as either success/yes/true/one (probability p) or failure/no/false/zero (probability q = 1 p), depending on the outcome's boolean value.

In a binomial distribution, we have a fixed number of independent trials (in this case, the number of patients), and each trial has only two possible outcomes (success or failure). The probability of success remains the same for each trial (in this case, the probability of the medicine working is 30%).

Option B does not represent a binomial distribution since it counts the number of patients for whom the medicine does not work, which is the complement of success. Option D is not a binomial distribution as it counts the number of doses each patient needs to take, which is not a success/failure outcome.

So, the correct answers are:

A. When the medicine is tried with two patients, X is the number of patients for whom the medicine worked.

C. When the medicine is tried with six patients, X is the number of patients for whom the medicine worked.

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The value of the middle of the three is 25.

Let x be the first odd integer, then the next two consecutive odd integers are x+2 and x+4. The sum of these three consecutive odd integers is given as 75, so we can write the equation:

x + (x+2) + (x+4) = 75

Simplifying the left side of this equation gives:

3x + 6 = 75

Subtracting 6 from both sides gives:

3x = 69

Dividing by 3 gives:

x = 23

So the first odd integer is 23, and the next two consecutive odd integers are 25 and 27. The middle of these three is the second consecutive odd integer, which is 25. Therefore, the value of the middle of the three is 25.

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Answer:

y=3x-7

Step-by-step explanation:

y=m*x + b  : equation of a line.

m= slope = rise over run = 3/1 =3

b = y-axis intercept = -7 (where the line crosses the y-axis)

The distance and bearing from the starting point are 766.38 km and 29.63° south of west respectively.

Given the following information, the plane is heading 24° west of south. After traveling 250 km, the pilot changes his direction to 68° west of south. After traveling 520 km further, we have to find the distance and bearing from the starting point.Let us assume that the plane travels first 250 km while moving 24° west of south and then travels 520 km further while moving 68° west of south. Now, we can calculate the horizontal displacement and vertical displacement by using sine and cosine formulas.

Let us assume that the angle between the plane's path and the southern direction is θ. Then we have;North displacement, N = -250 sin(24) - 520 sin(68)N = - 157.74 - 489.72N = -647.46 kmWest displacement, W = 250 cos(24) + 520 cos(68)W = 214.65 + 164.14W = 378.79 km Therefore, the distance from the starting point is;D = √(N²+W²)D = √(647.46² + 378.79²)D = √(588758.95)D = 766.38 km And the angle that the line from the starting point to the plane makes with the south is given by;θ = tan⁻¹(W/N)θ = tan⁻¹(378.79/647.46)θ = 29.63° south of west Therefore, the distance and bearing from the starting point are 766.38 km and 29.63° south of west respectively.

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