how do you find the IQR(interquartile range) of a dor plot?

Answer:

24

Step-by-step explanation:

eight multiplied by three equals 24

Using the normal distribution, it is found that:

a. The 33rd percentile of points scored by the Celtics was of 95 points.

b. The proportion of games in which the Celtics scored more than the Lakers was of 0.4052 = 40.52%.

The z-score of a measure X of a variable that has mean symbolized by \(\mu\) and standard deviation symbolized by \(\sigma\) is given by the rule presented as follows:

\(Z = \frac{X - \mu}{\sigma}\)

The mean and the standard deviation of the number of points scored by the Celtics is calculated as follows:

\(\mu = 99.2, \sigma = 10.5\)

The 33rd percentile is X when Z = -0.44, as it has a p-value of 0.33, hence:

\(Z = \frac{X - \mu}{\sigma}\)

-0.44 = (X - 99.2)/10.5

X - 99.2 = -0.44 x 10.5

X = 95 points.

The proportion of games in which the Celtics scored more than the Lakers is one subtracted by the p-value of Z when X = 101.7, hence:

\(Z = \frac{X - \mu}{\sigma}\)

Z = (101.7 - 99.2)/10.5

Z = 0.24

Z = 0.24 has a p-value of 0.5948.

1 - 0.5948 = 0.4052 = 40.52%.

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Answer:

Step-by-step explanation:

The slope of a line is the measure of the steepness and the direction of the line. Finding the slope of lines in a coordinate plane can help in predicting whether the lines are parallel, perpendicular, or none without actually using a compass.

The slope of any line can be calculated using any two distinct points lying on the line. The slope of a line formula calculates the ratio of the "vertical change" to the "horizontal change" between two distinct points on a line. In this article, we will understand the method to find the slope and its applications.

That is what Slope is.

Answer:

Step-by-step explanation:

Slope :( 1,1)

You start on the y-axis point which is (0,1) as you can see it is going up so I used the “up left” strategy. You go up 1 to the left 1 since the line intersects at point (1,2)

a. Yes, it is possible for a line (y = mx + b) that passes through the origin (0, 0) to pass through no other rational points. An example of such a line is y = sqrt(2)x. This line passes through the origin (0,0), but the y-coordinate will only be a rational number if the x-coordinate is also a rational number and a perfect square.

b. Yes, it is possible for a line to pass through no rational points. An example of such a line is y = sqrt(2)x + sqrt(3). This line will never pass through any rational points because the y-coordinate will only be a rational number if both x and b are rational numbers and perfect squares, which is not possible in this case.

Answer: 102 dollars/4.5x+75

Step-by-step explanation: Your question isn't really straightforward, x x snacks for everybody to share? Please elaborate, and are they talking about the total cost, or just the cost of 6 snacks?

First, we have to take into account that if SADIE is taking her FOUR kids, there will be 5 people.

Cost of tickets is equal to $15 per one, and

5x (where x=15, per 5)

5(15)=75, and now onto the snacks

4.5x2=9, and 6/2=3, so 9x3=27, or 4.5x6=27

75+27=102

then for x snacks, if 1 snack costs 4.5 dollars than it'd be 4.5x (x number of snacks)+75 to find the total cost with tickets and all.

Answer:

6

Step-by-step explanation:

X=6

You can cross multiply.

72x3=36x

216=36x

216/36=x

6=x

Answer:

24

Step-by-step explanation:

Answer:

R is D

Step-by-step explanation:

Mathematical Expression:

R=D divided by T

For Y=R substitute R with RT:

R=D

No, the marked price of $73.25 is not correct.

To calculate the sale price, we start by multiplying the original price by the discount percentage:

$95.00 * 0.25 = $23.75

This means that the original price of $95.00 should be reduced by $23.75 to find the sale price:

$95.00 - $23.75 = $71.25

Since the marked price is $73.25, this means that the store made a mistake and overpriced the shoes by $2.00. The correct sale price should have been $71.25.

Answer: B or C sorry if its wrong and sorry if i got u wrong

Step-by-step explanation:

have a nice day

Answer:

39 cm

Step-by-step explanation:

The perimeter of a rectangle is given as 2 (w + l) or 2w + 2l, where w and l are the sides.

Let us use w as 3 cm.

The perimeter of the rectangle is 2(3) + 2l = 6 + 2l

6 + 2l = 84 cm

We move the 6 to the left hand side and it goes from positive to negative.

2l = 84 - 6cm

2l = 78 cm

Divide both sides by 2.

l = 39 cm

There you have the answer for side l.

Hope this helps.

The equation with an infinite number of solutions is 12x-x+8+3x=14x+8.

An equation is a formula in mathematics that expresses the equality of two expressions by connecting them with the equals sign =. In its most basic form, an equation is a mathematical statement that shows that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. A mathematical equation that depicts the relationship between two expressions on opposite sides of the sign. It mostly consists of one variable and one equal to symbol. 2x - 4 = 2 is an example.

Here,

12x-x+8+3x=14x+8

The equation so that it has infinitely many solution is 12x-x+8+3x=14x+8.

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Carrying capacity is the value of p where \(0.1p-0.00025p^{2} =0\). Soln: increasing between 0 and K, decreasing when p > K.

The largest population that can be supported in a certain ecosystem is known as the carrying capacity. It can be found by setting the derivative of the logistic equation to zero, which represents the maximum population growth rate. The carrying capacity of the logistic equation, \(0.1p-0.00025p^{2} =0\), can be found by solving for p when the derivative is equal to zero. The solution is p = 40,000.

When t is between 0 and the carrying capacity, the population is increasing because the derivative of the logistic equation is positive. When t is greater than the carrying capacity, the population is decreasing because the derivative of the logistic equation is negative.

The logistic equation represents the growth of a population with time, where p is the population size, and t is measured in weeks. The carrying capacity is the maximum population size that can be sustained in the environment and is given by the value of p that makes the right-hand side of the equation equal to 0. The solution is increasing when t is between 0 and the carrying capacity, and decreasing when t is greater than the carrying capacity.

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Answer:

X^2 = -8y

Step-by-step explanation:

Given statement solution is :- The present value of R13,000 per year invested for 8 years at 10% compound interest is approximately R69,776.60.

To calculate the present value of an investment with compound interest, we can use the formula for the present value of an annuity:

PV = A *\((1 - (1 + r)^(-n)) / r\)

Where:

PV = Present value

A = Annual payment or cash flow

r = Interest rate per period

n = Number of periods

In this case, the annual payment (A) is R13,000, the interest rate (r) is 10% per year, and the investment is made for 8 years (n).

Using the formula and substituting the given values, we can calculate the present value:

PV = \(13000 * (1 - (1 + 0.10)^(-8)) / 0.10\)

Calculating this expression:

PV = \(13000 * (1 - 1.10^(-8)) / 0.10\)

= 13000 * (1 - 0.46318) / 0.10

= 13000 * 0.53682 / 0.10

= 6977.66 / 0.10

= 69776.6

Therefore, the present value of R13,000 per year invested for 8 years at 10% compound interest is approximately R69,776.60.

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Answer:

40 men

Step-by-step explanation:

100 performers so the total men and women = 100

4 + 6 = 10

100/10 = 10

so 4(10) = 40

Answer:

a4 = -3 * 4^(4-1) = -3 * 4^3 = -3*64 = -192

Step-by-step explanation:

A geometric sequence is a sequence of numbers such that the ratio of any two consecutive terms is always the same. In this case, the given sequence is -3, -12, -48, -192, -768.

To find the explicit formula for this geometric sequence, we can use the following formula:

an = a1 * r^(n-1)

where:

a1 is the first term in the sequence (-3)

an is the nth term in the sequence

r is the common ratio (the ratio between any two consecutive terms)

To find the common ratio, we can divide -12 by -3, -48 by -12, -192 by -48, and -768 by -192, and in all cases we get r = 4

Therefore, the explicit formula for this geometric sequence is:

an = -3 * 4^(n-1)

This formula can generate any term of the sequence given the value of n.

So, for example, the fourth term of the sequence, -192, can be obtained by inputting n = 4 in the explicit formula:

a4 = -3 * 4^(4-1) = -3 * 4^3 = -3*64 = -192

The smallest angle of the equilateral triangle is 60 degrees

If the sides of a triangle are in the ratio 4:4:3, it implies that the lengths of the sides are proportional.

To determine the type of triangle, we examine the side lengths. Since all three sides are equal in length, we have an equilateral triangle.

For an equilateral triangle, all angles are equal. To calculate the smallest angle, we divide the total sum of angles in a triangle (180 degrees) by the number of angles, which is 3:

Smallest angle \(= \frac{180}{3} = 60\)\) degrees.

Therefore, the smallest angle of the equilateral triangle is 60 degrees (to the nearest degree).

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Answer:

See below.

Step-by-step explanation:

Vertical Angles Theorem

When two straight lines intersect, the opposite vertical angles are congruent.

Alternate Interior Angles Theorem

If a line intersects a set of parallel lines in the same plane at two distinct points, the alternate interior angles that are formed are congruent.

Transitive Property of Equality

If a=b and c=b, then a=c.

Proof that ∠1=∠2

\(\begin{array}{c|c}\sf Statement & \sf Reason\\\cline{1-2}\\ \angle 3 = \angle 4 & \textsf{Vertical Angle Theorem}\\\\AB \parallel CD & \textsf{Given}\\\\\angle 3 = \angle 2 & \textsf{Alternate Interior Angles Theorem}\\\\\angle 2 = \angle 4 & \textsf{Transitive Property of Equality}\\\\\angle 1 = \angle 4 & \textsf{Given}\\\\\angle 1 = \angle 2 & \textsf{Transitive Property of Equality}\\\\\end{array}\)

Answer:

3. is your correct answer ok

To describe the temperatures for the week, we can apply the following statistical tools:

a) Find the mean, median, mode, and range.

c) Construct a line graph.

d) Construct a stem and leaf plot.

We can describe temperatures using measures of central tendencies (especially the mean, median, and mode).

The mean temperature is the average, which shows the overall trend in temperature changes.  It is computed by adding up the temperatures for the period and diving by the number of data values.

In addition, the median gives the middle value when the data set is ordered in ascending or descending orders. Similarly, the mode gives the highest temperature occurrence within the period. It may not be useful here.

We can estimate the difference between the highest and lowest temperature for the week with the range.

A line graph (showing connecting lines) and a stem-and-leaf plot (like a bar graph) can graphically describe the temperatures for the week.

Thus, we can use Options A, C, and D to describe the temperature.

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What could you do to describe the following data, showing temperatures for the week? (Check all that apply.)

Mon - 65°

Tues - 67°

Wed - 66°

Thur - 70°

Fri - 72°

Sat - 68°

Sun - 69°

a) Find the mean, median, mode, and range.

b) Survey people about the weather.

c) Construct a line graph.

d) Construct a stem-and-leaf plot.

The length of the hypotenuse of the triangle is b = x√2 units

Given data ,

Let the triangle be represented as ΔABC

And , the triangle is a 45 - 45 - 90 triangle

So , the two legs are congruent to one another and the non-right angles are both equal to 45 degrees

And , the sides are in the proportion x : x : x√2

Now , the length of the sides of the triangle are

The measure of base BC = a units = x

The measure of height AB = c units = x

So , the measure of the hypotenuse of the triangle is = x√2 units

Hence , the triangle is solved and hypotenuse AC = x√2 units

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Answer:

895

Step-by-step explanation:

There's a repetitive pattern of adding +10 each time.

Answer:

= - 7.68 I hope this helped you.

Three shapes:

shape 1&2 = rectangle

shape 3 = triangle

shape 1: 5 x 7 = 35

shape 2: 10 x 6 = 60

shape 3 = 1/2 x 15 x 16 = 120

total area = 35 + 60 + 120 = 215

A factor of a number is called a prime factor.

The prime factor of a number is obtained by a factor tree method or by a division method.

The expression of a given number as a product of factors is called prime factorisation.

The prime number has 1 and the number itself is a factor.

The composite number will have more than one factor.

A number which is not a prime number is a composite.

1 and the number itself are not included in the prime factorisation of a composite number.

let us take the example

For the number 20, the prime factors are 2*2*5.

The above example is an example of the prime factorization of the composite number. where 1 and the number itself are not included in the prime factorisation of a composite number.

Answer:

But they can be broken down into prime numbers the process of writing out the prime numbers that make up a composite number is known as prime factorization

Step-by-step explanation:

Answer:

hi

Step-by-step explanation:

put 3 in place of x . its like a peice of cake

Answer:

h(3) = 6

Step-by-step explanation:

Given that,

→ x = 3

Then the value of h(3) will be,

→ h(x) = 3x - 3

→ h(3) = 3(3) - 3

→ h(3) = 9 - 3

→ [ h(3) = 6 ]

Hence, the answer is 6.

Answer:

x = 5

Step-by-step explanation:

According to triangle angle bisector theorem, the ray divides the opposites side of the triangle into segments that are proportional to the other two sides.

So,

      \(\frac{x-1}{x-2} = \frac{12}{9}\\\\\frac{x-1}{x-2} = \frac{4}{3}\\\\3(x-1) = 4(x-2)\\\\3x - 3 = 4x - 8\\\\4x - 3x = -3 +8 \\\\x = 5\)

Answer:

\(x=\frac{27}{6}\)

Step-by-step explanation:

So I'm going to assume you mean to write: \(\frac{1}{3}(6x+9)=12\)

In this equation here we want to cancel out the "1/3", and this can be done by multiplying both sides by "3", since we can multiply the 1/3 by 3 on the left side and that just gives us 3/3 or 1, which doesn't change the value

We have to do this on both sides to remain equality and this gives us the equation

\(6x+9=36\)

Now from here just subtract 9 from both sides to cancel out the +9

\(6x=27\\x=\frac{27}{6}\)