The correlation coefficient ranges from which two values? a. 0 and 1 b. −1 and +1 c. minus infinity and plus infinity d. 1 and 100

The complementary angles will be 65.6° and 24.4°.

What exactly are complementary angles?

Supplementary and complementary angles are defined by the sum of two angles. If the total of two angles is 90 degrees, they are considered to be complimentary angles since they produce a right angle when combined. If the total of two angles is 180 degrees, they are considered to be supplementary angles since they produce a linear angle when combined.

Now,

Let x be a angle then its complementary angle will be 90°-x as sum of complementary angles is equal to 90°.

as given

90°-x-x=18.8°

9--2x=18.8

2x=71.2

x=65.6° and 90-x°=24.4°

hence,

                The complementary angles will be 65.6° and 24.4°.

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If f(-x) = f(x) for all x in the domain of the function, then the function is said to be even function in mathematics. if a function meets the criterion that f(-x) = -f(x) for all x in the function's domain, then is said to be odd function .

An even function, then, is symmetric about the y-axis. The graph of an even function would look geometrically identical to its reflection across the y- axis if we were to plot it. The functions f(x) = x2, f(x) = cos(x), and f(x) = |x| are examples of even functions.

An odd function, then, is symmetric about the origin. If we were to draw the graph of an odd function geometrically, if we were to plot the graph of an odd function, it would appear to be identical to its reflection across the origin, after being rotated 180 degrees. Some examples of odd functions include f(x) = x³, f(x) = sin(x), and f(x) = 1/x.

It is also possible for a function to be neither even nor odd. In other words, a function does not need to exhibit either symmetry about the y-axis or the origin.

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Answer:

  λ = 3

Step-by-step explanation:

You want the value of λ that places point C = λ(i -3j) on the line between A(-5i -11j) and B(23i -4j).

The parameterized line between A and B is ...

  P = A +t(B -A)

where P is a point on AB. We can set P = C to find the value of t that identifies the point on AB. Comparing that to C, we can determine the value of λ.

  λ(i -3j) = -5i -11j +t(23i -4j -(-5i -11j)) = (-5+28t)i +(-11 +7t)j

Equating components gives two equations in the unknowns λ and t:

Multiplying the second equation by -4 and adding the first gives ...

  -4(-3λ) +λ = -4(-11 +7t) +(-5 +28t)

  13λ = 39 . . . . . . . simplify

  λ = 3 . . . . . . . . . divide by 13

The dimensions are as follows

14

x = 21

GK = 167

HJ = 98

HGJ = 159

GKJ = 201

15.

x = 9

AD = 108

BC = 23

DC = 139

DCB = 162

The value of x is solved using the concept of angles in a point and this is 360 degrees

Figure 14

9x - 22 + 61 + 5x - 7 + 34 = 360

collecting like terms

9x + 5x  - 22 + 61  - 7 + 34 = 360

solving for x

14x + 66 = 360

14x = 360 - 66

x = 294 / 14

x = 21

GK = 9x - 22 = 9 * 21 - 22 = 167

HJ = 5x - 7 = 5 * 21 - 7 = 98

HGJ = GH + HJ = 61 + 98 = 159

GKJ = GK + KJ = 167 + 34 = 201

15.

12x + 17x - 14 + 2x + 5 + 90 = 360

collecting like terms

12x + 17x + 2x - 14 + 5 + 90 = 360

solving for x

31x + 89 = 360

31x = 360 - 81

x = 279 / 31

x = 9

AD = 12x = 12 * 9 = 108

BC = 2x + 5 = 2 * 9 + 5 = 23

DC = 17x - 14 = 17 * 9 - 14 = 139

DCB = DC + CB = 23 + 139 = 162

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The required coefficient of y in  [tex](3xy + 2)^4[/tex] is 96x.

The binomial expansion is a formula for expanding a binomial expression of the form [tex](a + b)^n\\[/tex], where "a" and "b" are constants and "n" is a positive integer. The expansion gives the coefficients of each term in the expansion.

Here,
We can use the binomial theorem to expand the expression,

[tex](3xy + 2)^4 = C(4,0) (3xy)^4 (2)^0 + C(4,1) (3xy)^3 (2)^1 + C(4,2) (3xy)^2 (2)^2 + C(4,3) (3xy)^1 (2)^3 + C(4,4) (3xy)^0 (2)^4[/tex]

where C(n,k) represents the number of combinations of k objects that can be chosen from a set of n objects.

The coefficient of y in the fourth term is given by the coefficient of ([tex]3xy)^1 (2)^3[/tex]. That is, we need to find the coefficient of y in the term:

[tex]C(4,3) (3xy)^1 (2)^3 = 4 * 3xy * 2^3 = 96xy[/tex]

Therefore, the coefficient of y in  [tex](3xy + 2)^4[/tex] is 96x.

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Option C. 50%. The interquartile range (IQR) is the difference between the 25th percentile (Q1) and the 75th percentile (Q3) of a distribution, and it contains the middle 50% of the data.

Approximately half of the data values in a distribution lie between Q1 and Q3. This range provides valuable information about the spread of the data and helps identify potential outliers. By knowing the IQR, one can make informed decisions about the data and gain a better understanding of the population it represents. This is useful in understanding the spread of data and identifying outliers. Knowing the IQR can help in making decisions about the data and the underlying population it represents.

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Interest earned on the cash balance in the bank is recorded by the bank as an increase in the depositor’s bank account.

A savings account is a type of account that can be opened with a bank. Savings account earn interest based on the amount of money in their account at the end of the month.

here. we have.

The interest that is earned depends on the number of withdraws, interest rate paid on deposits and the amount deposited in the account.  Deposits are recorded as a liability in the balance sheet of a bank. A liability is an obligation that has to be paid at sometime in the future.

This means that at the end of the month, the value of the money in the depositor's saving account increases by the value of interest paid.

For example, if the interest paid by a bank on deposits in a savings account is 10%. If an account has $1000 in the account, the value of the amount at the end of the month is 1,100 (1000 x 1.1).

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Answer:

Jimmy hits 3 bullseyes in every 20 shots, which can be written as a fraction: 3/20.

To compare this to Amanda's performance, we need to find out what fraction of Amanda's shots result in a bullseye. We know that Amanda hits a bullseye on 18 percent of her shots, which can be written as a fraction: 18/100 or 9/50.

To determine who hits more bullseyes more often, we can compare the two fractions. We can find a common denominator of 100 to make the comparison easier:

3/20 = 15/100

9/50 = 18/100

Now we can see that Amanda hits a bullseye more often than Jimmy, as 18/100 is a larger fraction than 15/100. In other words, if both Jimmy and Amanda shoot 100 arrows, Amanda is expected to hit more bullseyes than Jimmy.

Answer:

Jimmy

Step-by-step explanation:

To compare who hits more bull's-eyes more often, we need to calculate the probability of hitting a bull's-eye for each person.

Jimmy hits 3 bullseyes in every 20 shots, so the probability of hitting a bull's-eye for Jimmy is:

3/20 = 0.15 or 15%

Amanda hits a bull's-eye on 18 percent of her shots, so the probability of hitting a bull's-eye for Amanda is:

18% = 0.18

Comparing these probabilities, we can see that [Jimmy hits more bull's-eyes more often,] since his probability of hitting a bull's-eye (15%) is greater than Amanda's probability (18%).

It's important to note that this comparison is based solely on the given information about hitting bull's-eyes, and does not necessarily reflect overall performance or skill as an archer. Other factors, such as accuracy, consistency, and technique, may also play a role in determining an archer's success.

The average value of function f(x) over [a,b] = 1/(b-a) × definite integral of f(x) over [a,b]

To find the average value of a function f(x) over an interval [a,b], you need to follow these steps:

Calculate the definite integral of the function f(x) over the interval [a,b]. The definite integral will give you the total area under the curve of the function over the interval.

Find the length of the interval [a,b] by subtracting the lower bound a from the upper bound b. The length of the interval will be (b-a).

Divide the value of the definite integral by the length of the interval to get the average value of the function over the interval [a,b]. That is:

Average value of f(x) over [a,b] = 1/(b-a) × definite integral of f(x) over [a,b]

So, the average value of a function over an interval is simply the total area under the curve of the function over that interval divided by the length of the interval.

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From the given information provided, the total cost of olivia membership fee and her car wash is $82.

The membership fee is a one-time cost of $40.00. To calculate the cost of three car washes, we can simply multiply the cost per car wash by the number of car washes:

3 car washes x $14.00 per car wash = $42.00

So the total cost for Olivia's membership fee and three car washes would be:

$40.00 (membership fee) + $42.00 (cost of three car washes) = $82.00

Question - Olivia likes to go to her local car wash because she is a premier member there. Her membership fee costs $40. 00 and that membership allows her to get her car washed for $14. 00 every visit. What would be the cost of Olivia's membership fee and three car washes?

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Answer:

Below

Step-by-step explanation:

Since it is a QUADRATIC  it should be

3x^2 - 75 = 0    divide through by 3 to get

x^2 - 25 = 0       then

x^2 = 25

x = ±5

In reference to the given question, the pairs of polygons that  are congruent is  pairs 1 and 3. Hence, the correct answer is D, pairs 1 and 3.

Congruent polygons are polygons that have the same size and shape.

Pair 1 has two same L-shaped shapes, which are not congruent to any other pair.

Pair 2 has two T-shaped shapes with unequal height, which are not congruent to any other pair.

Pair 3 has two same triangles, which are congruent to each other.

Pair 4 has two unequal triangles, which are not congruent to each other or to any other pair.

Therefore, the only pairs of polygons that are congruent are pair 3, which has two same triangles, and pair 1, which has two L-shaped shapes that are the same. So the correct answer is D, pairs 1 and 3.

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Interval notation is a way of representing a range of values on a number line. It is written using brackets and parentheses to indicate whether the endpoints are included or excluded from the interval.

For example, the interval notation for the range of values between 1 and 5 (inclusive) would be [1, 5]. The square brackets indicate that both 1 and 5 are included in the range.

If the endpoints are excluded, we use parentheses. For instance, the interval notation for the range of values between 1 and 5 (excluding 1 and 5) would be (1, 5).

In general, we use square brackets for closed intervals (where the endpoints are included) and parentheses for open intervals (where the endpoints are excluded).

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Answer:

12 feet

Step-by-step explanation:

Let h be the height of the tree. We set up and solve this proportion:

[tex] \frac{h}{24} = \frac{3}{6} [/tex]

[tex]6h = 72[/tex]

[tex]h = 12[/tex]

The method of paying off the credit card that will take the longest period of time is B. Paying the minimum balance each month.

Paying the minimum balance each month will take the longest period of time to pay off the credit card. The minimum payment is typically a small percentage of the outstanding balance, which means that it will take a longer time to pay off the entire balance.

Additionally, interest charges will continue to accrue on the remaining balance, which can increase the total amount owed over time. Making fixed payments each month and snowballing payments according to the highest interest rate or the lowest balance can help to pay off the credit card more quickly.

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The probability of drawing an even number and then a diamond out of the deck is 9. 8 %

The probability of drawing an even number out of a standard deck of cards is :

= Number of even numbers / Number of total numbers

= 20 / 52

= 5 / 13

The probability of drawing a diamond, assuming the even picked was not a diamond, is :

= Number of diamond cards / 51 cards

= 13 / 51

The probability of both :

= 5 / 13 x 13 / 51

= 9. 8 %

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Full question is :

What is the probability of drawing an even number then drawing a diamond out of the deck.

Answer:

Therefore, the influencer would earn $52 for a video with 1 million views.

Step-by-step explanation:

We can say that a and b are identical in absolute value if a and b are nonzero integers such that a divides b (a | b) and b divides a (b | a). That is to say, a =± b.

The transitive property of divisibility serves as evidence for this. We know that there are numbers k and l such that b = ak and a = bl exist if a | b and b | a. We obtain a = alk by substituting the expression for b into the second equation. We can divide both sides by a to get l = 1/k because an is not zero. Given that k and l are both integers, they must both either be 1 or -1. B Equals ak if k = 1, else then b = ak = a(1) = a, and if k = -1, then b = ak = a(-1) = -a. In either case, we have shown that a = ±b.

So if a and b are nonzero integers such that a divides b and b divides a, then we can conclude that a and b have the same absolute value, but possibly opposite signs.

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Inches to decimal is the conversion used in converting inches to decimal feet. So 1 inch = 0.0833 decimal feet.

By multiplying or dividing, a conversion factor aids in changing one set of units to another. It is the formula necessary to convert a measurement from one unit system to another unit system of the same measurement.

The conversion of inches to decimals is important in the conversion of feet. To convert inches to decimal of foot, multiply the given inches value by  0.0833. That is 1 inch = 0.0833 decimal feet. For example, 6 inches is converted as 6×0.0833=0.4998 decimal feet.

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Answer:

[tex]y = \frac{Pa}{b} - za[/tex]

Step-by-step explanation:

See picture below :)

The speed of 50 mph is equivalent to 80.47 km/h.

Mph is an abbreviation for miles per hour, and it is a unit of measurement commonly used in the United States. On the other hand, km/h stands for kilometers per hour, and it is a unit of measurement commonly used in most other countries.

To convert 50 mph to km/h, we need to use a conversion factor that relates the two units.

The conversion factor we need to use in this case is 1 mile = 1.60934 kilometers. This means that for every mile covered, there are 1.60934 kilometers covered. To convert 50 mph to km/h, we simply need to multiply 50 by the conversion factor, as shown below:

50 mph x 1.60934 km/mi = 80.47 km/h

Therefore, 50 mph is equivalent to 80.47 km/h. This means that if you were driving at 50 mph in the United States, you would be traveling at a speed of 80.47 km/h if you were to convert to km/h in another country.

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Linear Interpolation Calculator is a free online tool that shows the interpolated point for specific coordinates, also termed as online calculator.

It allows users to interpolate (interpolation is a mathematical technique for estimating any value between two known points) data points between the sets(two sets) of points or coordinates.

Take the two known points and calculate the value of the point that lies between them. This has been used in as many engineering applications as estimating the value of a point on a graph or table. This calculator helps in estimating the value of a point that lies between two known points on a line.

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Answer:

2 units

Step-by-step explanation:

To find the difference between 10 and 12, we can use this equation:

Or:

Therefore, the difference is 2.

Answer:

w² + 5w - 7

b = 5

c = -7

Step-by-step explanation:

(10w + 3)(w - 1) - (2 - 3w)² (distribute)

10w² - 10w + 3w - 3 - (2 - 3w)² (combine like terms)

10w² - 7w - 3 - (2 - 3w)² (expand (2 - 3w)²)

10w² - 7w - 3 - ((2 - 3w)(2 - 3w)) (distribute)

10w² - 7w - 3 - (4 - 6w - 6w + 9w²) (combine like terms)

10w² - 7w - 3 - (4 - 12w + 9w²) (distribute the negative)

10w² - 7w - 3 - 4 + 12w - 9w² (combine like terms)

w² + 5w - 7

Therefore, b = 5 and c = -7.

Answer: c = 54

Step-by-step explanation:

c/6 = 9

c/6*(6) = 9*6

c = 54

Answer: c = 54

Step-by-step explanation:

c/6 = 9

you then multiply c/6 by it's denominator, which in this case 6. What you do on one side, you have to do to the other.

6 · c/6 = 9 · 6

Then you multiply everything, 6 cancels out denominator 6 which leaves C and 9 turns into 54. Meaning c equals 54.

c = 54

To check, you can replace c with 54 in your original equation.

54/6

54÷6 = 9

The answer is t = (2 - 3Q)/(4+Q).

To make t the subject of the given equation:

(2-4t)/(t+3)

We can start by cross-multiplying both sides by (t+3) to eliminate the denominator on the left-hand side:

(2 - 4t) = (t+3) * Q

where Q is an unknown value that is the result of the cross-multiplication.

Next, we can distribute the right-hand side:

2 - 4t = Qt + 3Q

Then, we can rearrange the equation by moving all the terms with t to one side and the constant terms to the other side:

2 - 3Q = t(4+Q)

Finally, we can divide both sides by the coefficient of t to isolate t:

t = (2 - 3Q)/(4+Q)

Therefore, the equation in terms of t is:

t = (2 - 3Q)/(4+Q)

In mathematics, an equation is a statement that two expressions are equal to each other. It consists of two sides: the left-hand side and the right-hand side, which are connected by an equals sign (=). An equation typically contains one or more variables, which are represented by symbols such as x, y, or z, and the goal is often to solve for these variables in order to find their values that make the equation true.

For example, the equation x + 2 = 5 is an algebraic equation that states that the sum of x and 2 is equal to 5. Solving this equation for x gives us x = 3, which means that the value of x that makes the equation true is 3.

Equations are used to model many real-world problems in mathematics, science, engineering, economics, and other fields, and they are an important tool for understanding and solving complex problems.

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The quadratic equation of [tex]x^{2}[/tex]-6x+9=0 is C) (x-2)(x+3).

Equation is a physical and mathematical statement that describing physical phenomena and the relationship between different physical quantity typically consist of variable simple presenting physical quantity and then it personal variable may be pointed such as your energy.

This equation is an example of a quadratic equation, which is an equation of the form a[tex]x^{2}[/tex]+bx+c=0, where a, b, and c are real numbers, and a is not equal to 0. In this equation, a is equal to 1, b is equal to -6, and c is equal to 9. To solve this equation, we need to use the quadratic formula, which states that the solutions to the equation are x= -b ± [tex]\sqrt[1]{b^{2}-4ac }[/tex] / 2a. Therefore, the solutions to this equation are x= -(-6) ± [tex]\sqrt{(-6)^{2} -(4)(1)(9) }[/tex]) / 2(1), which simplifies to x=3 ± [tex]\sqrt{3}[/tex] /2, or x=3 ± [tex]\sqrt{9}[/tex] /2. This simplifies to x=3 ± [tex]\sqrt{3}[/tex], or x=3 ± 1. Therefore, the solutions to this equation are x=2 and x=4. The factored form of this equation is (x-2)(x+3), which is option C.

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Answer:

Step-by-step explanation:

175 cm to inches is 68.8976 or 69 inches

The proportion of sampled smokers that like risky things is 0.555.

The propotion of smokers that like risky things will be obtained by dividing the total number of smokers that like risky things by the total number of boys that were sampled.

To obtain this, we will have

Total number of smokers that like risky things= 45

Total number of smokers that don't like risky things = 36

Total number of smokers = 81

So, 45/81

= 0.555

Since we are asked to keep the result in decimal form, we will divide the figure to obtain 0.555.

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