I need help with unit rate fractions pls try to explain very very easily and well and answer quickly i gave an example

Interquartile range of the scores is 7.

When values are ranked from lowest to highest, the IQR designates the middle 50% of those values. Find the median (middle value) of the bottom half and upper half of the data before calculating the interquartile range (IQR). Quartile 1 (Q1) and Quartile 3 are these values (Q3). The IQR represents the variation between Q3 and Q1. The strongest indicator of variability in data sets with outliers or skewed distributions is the interquartile range. It's unlikely to be impacted by outliers because it's based on numbers that come from the center half of the distribution.

Given Set

16, 12, 20,35,21,17,19,20,13,12,15

12, 12, 13, 15, 16, 17, 19, 20, 20, 21, 35

25 percentile(Q₁) = 13

50 percentile(Q₂) = 17

75 percentile(Q₃) = 20

Interquartile range = Q₃ - Q₁

Interquartile range = 20-13

Interquartile range = 7

Interquartile range of the scores is 7.

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The function f(6) has a value of 1./3

The graph that completes the question is added as an attachment

From the graph, we have the following points

(x, y) = (4, 1) and (1, 2)

We start by calculating the slope of the points using the following slope equation

Slope = (y₂ - y₁)/(x₂ - x₁)

Where x and y are defined above

So, we have

Slope = (2 - 1)/(1 - 4)

Evaluate

Slope = -1/3

At f(6), we have

x = 6

So, the point can be represented as (6, y)

Using the slope formula again, we have

Slope = (y₂ - y₁)/(x₂ - x₁)

Where

(x, y) = (4, 1) and (6, y)

This gives

Slope = (y - 1)/(6 - 4)

Evaluate

Slope = (y - 1)/2

So, we have

(y - 1)/2 = -1/3

Evaluate

y = -2/3 + 1

Evaluate

y = 1/3

Hence, the value of f(6) is 1/3

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Answer:

4.58 gallons

Step-by-step explanation:

13$ in 2000 = 8 1/3 gallons

13$ in 2010 = 4.577 gallons

The graph represents a linear function with negative slope.

How does different type of graph and their equations look like?
1. Linear graph: It is of the form y= mx+ c

First-order variables are present in linear functions, and the graph's placement is determined by two constants. These operations graph into a line in every case. The slope of the line is determined by the constant m. The slope of the line will slope up if it is positive and down if it is negative.

2. Quadratic graph: y= ax^2+ bx+ c

These type of graphs have an U shaped curve and their slope can also be obtained by drawing a tangent.

3. Square root graph : F(x)=x is the parent function of all functions with the formula f(x)=a+b. Keep in mind that f(x)=x has an x0 domain and a y0 range. By translating the graph of f(x)=x to a units to the right and then b units up, the graph of f(x)=root x-a+b can be derived.

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We need to solve the inequality:

We can start by sketching the graph of the parabola:

Then, we need to find the points of the parabola below the x-axis.

The zeros of that parabola are given by:

And since the coefficient of x² is positive, the parabola opens upwards. So, its graph looks like this:

Thus, the points on the parabola below the x-axis are those for which:

The answer is the option C. (h + j + k)/3

Because to find the average of 3 quantities, you have to add them all and then divide the result by 3

X<4 means that the chosen number is less than four and probability if the event X<4, P(X<4) 2/5.

Let us say that we have to select one number between 0-9.

So, the total possible outcomes can be 10.

Let us say that a number x is chosen randomly,

The expression x<4 means that is the chosen number is X, then the number should must be less than 4, not even equal, it should be less than 4.

So, The probability of X<4, we should first find total favorable outcomes,

The total number less than 4 are 0,1,2,3.

So, the total favorable outcomes are 4.

We know,

Probability of event E is,

P(E) = total favorable outcomes/total number of outcomes.

So, P(X<4) = 4/10

P(X<4) = 2/5

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The most appropriate choice for stocks and net proceeds will be given by-

Net proceeds of Erin = $3533.9

What is stock and net proceeds?

Stock

Stock is a part of share set up by the company so that people can buy.

Net proceeds

After deducting all expenses, amount recieved by the seller after selling of stocks is called net proceeds.

Worth of stocks purchased by Erin  = $23510

Percentage paid to her broker = 1%

Amount paid to broker = [tex]\frac{1}{100}\times 23510[/tex]

                                      = $235.1

Now price of stocks increased to $27300

Net profit = $(27300 - 23510)

                = $3790

Net proceeds = $(3790 - 235.1 - 21)

                        =$3533.9

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The probability that at most 3 of light bulbs will be defective will be 0.998.

Probability may be defined as an expression which may be used to determine the possibility of occurring of any event. The probability of happening an event surely is 1 and probability of not happening an event is zero. Since, 5 percent of bulbs are defective then

5% = 0.05 Now,

Non defective bulbs = 1 - 0.05 = 0.95

n = number of light bulbs = 7

We can calculate this using binomial distribution.

p(x) = ⁿCₓ × (pˣ)(1-p) ^n-x

Our question says at most 3 is defective, so it will be

(⁷C₀ × 0.05⁰ × 0.95⁷) + (⁷C₁ × 0.05¹ × 0.95⁶) + (⁷C₂ × 0.05² × 0.95⁵) + (⁷C₃ × 0.05³ × 0.95⁴)

= 0.698 + 0.257 + 0.040 + 0.003

= 0.998 which is the required probability.

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No, becuase not all the posible values of x make the inequality true.

For example, if x = 0

7(0) - 5 > 2

0 - 5 > 2

- 5 > 2 This is not true.

Answer: a) 216 beats     b) almost 16 minutes

Step-by-step explanation:

54 beats/minute x 4 minutes = 216 beats

855 beats / 54 beats/minutes = 15.83333 minutes

Hope this helps!

1) Since we know the decimal places, then we can write out the following number:

Note the 3 decimal places after the dot is the thousandth's place. Note that we can either write the last digit or omit it.

see the attached figure below to better understand the problem

Please give me a minute

The price is about $38

therefore

The answer is option C

Since (2,1) is the turning point, let's write the function in its vertex form:

Let's use one of the points:

Therefore:

Answer:

  1) 120 units

  2) see attachment

Step-by-step explanation:

Given a figure composed of 21 squares that each have an area of 25 square units, you want to know (1) the perimeter of the figure, and (2) how to rearrange it to have the same perimeter, but with sides that line up.

The perimeter is the sum of the lengths of the sides that form the boundary of the figure. The boundary consists of ...

for a total of 6·4 = 24 edges of the squares shown.

Each of the squares shown has an area of A = s² = 25 units², so a side length of s = √(25 units²) = 5 units.

The perimeter is the length of 24 of these edges, so is ...

  perimeter = 24 × 5 units = 120 units

The 21 squares shown in the figure can only be rearranged into rectangles that are 21 × 1 squares or 7 × 3 squares. These will have perimeters of 44 or 20 edges, respectively. Hence, it is not possible to have "sides of the squares line up" in a rectangle with the same perimeter.

The attached figure is the next best thing. It shows a 6 × 4 rectangle with three squares removed (to keep the total at 21). The number of horizontal and vertical edges total 24, as required to keep the same perimeter.

Given:

The dimensions of the room are,

The dimensions of the carpet are,

To find:

The number of rolls of carpet.

Explanation:

The number of rolls of carpet is calculated by,

Therefore, the number of rolls of carpet is 8.

Final answer:

The number of rolls of carpet is 8.

The methods which can be used to prove that the two triangles are congruent are:

Prove all three sets of corresponding angles are congruent.

Prove all three sets of corresponding sides are congruent.

Option C and Option D are the correct answer.

Corresponding angles are angles that occur on the same side of the transversal line and are equal in size.

We have,

To prove that two triangles are congruent, we need to show that the corresponding sides and corresponding angles are congruent.

So,

Prove all three sets of corresponding angles are congruent.

Prove all three sets of corresponding sides are congruent.

These two methods can be used to prove that the two triangles are congruent.

Thus,

The methods which can be used to prove that the two triangles are congruent are:

Prove all three sets of corresponding angles are congruent.

Prove all three sets of corresponding sides are congruent.

Option C and Option D are the correct answer.

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Question 8

We are to solve

This can be simplified to

Raising both sides of the equation to a power of 5 we have

By raising both sides of the equation to power of 1/14, we get

Simplifying this we get

To make red brass alloy ratio of copper : zinc is 16 :3 ,then zinc should be combined for making red brass alloy of 40kg copper is 7.5kg.

As given,

Ratio given to make red brass alloy using copper and zinc is:

Copper :Zinc=16 :3

Given quantity of copper to make red brass alloy=40 kg

Let y kg be the quantity required to make red brass alloy using 40 kg copper

Using ratio and proportion we get,

40 :y=16 :3

⇒y ×16=40×3

⇒y=120/16

⇒y=7.5 kg

Therefore, to make red brass alloy ratio of copper : zinc is 16 :3 , then zinc should be combined for making red brass alloy of 40kg copper is 7.5kg.

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The expression with a rational exponent as a radical expression is [tex]\sqrt[9]{3}[/tex]. Therefore, option B is the correct answer.

The given expression is [tex](3^{\frac{2}{3} } )^{\frac{1}{6} }[/tex].

Rational exponents are exponents of numbers that are expressed as rational numbers, that is, in [tex]a^\frac{p}{q}[/tex], a is the base and p/q is the rational exponent where q ≠ 0.

Now, the given expression can be solved as follows:

Using power law [tex](a^m)^n=a^{m\times n}[/tex], we get

[tex](3^{\frac{2}{3} } )^{\frac{1}{6} }=3^{\frac{2}{3}\times \frac{1}{6}}[/tex]

[tex]=3^{\frac{1}{9} }[/tex]

The equivalent expression to [tex]=3^{\frac{1}{9} }[/tex] is [tex]\sqrt[9]{3}[/tex].

The expression with a rational exponent as a radical expression is [tex]\sqrt[9]{3}[/tex]. Therefore, option B is the correct answer.

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To solve the exercise, replace in the expression the given values of c and d and then operate:

Therefore, the value of the evaluated expression is 38.1

Answer: 74.43%

Let us first list down the probabilities of the machine working.

First is the probability that none of the components will fail. We can write this probability as:

Next, the probability that one of the components will fail. This will give us:

Then, the probability that 2 of the components will fail.

Adding all of these probabilities and we will have:

Therefore, the probability that the machine will be working would be 74.43%.

ANSWER

36°

EXPLANATION

A full circle has a central angle of 360°. If this figure represents 1/10 of a full circle, then its central angle is 1/10 of the central angle of the full circle:

Hence, the measure of the central angle in this figure is 36°.

Answer: C(x) > a(x) , meaning c(X) has the greatest average rate of change over the given interval.

Explanations :

• The greatest average rate of change = slope

• given by formula :

• The average rate of change over the given interval = 7-1 = 6

and

• We can see that b(x) has constant average rate of change at 2 , therefore this will not be considered for this purpose of the exercise.

and

• The average rate of change over the given interval =, 8 -1 = 7

in conclusion , C(x) = 7 , whereas a(x) = 6 ,

Therfore C(x) > a(x)

At the CD's maturity in 2 years' time, the future value that you can collect is $4,347.22.

The future value (FV) of CD is the present value compounded at an interest rate of 4.25% for 2 years in the future.

We can compute the future value using the FV formula or an online finance calculator as below.

N (# of periods) = 2 years (24 months)

I/Y (Interest per year) = 4.25%

PV (Present Value) = $4,000

PMT (Periodic Payment) = $0

Results:

FV = $4,347.22 ($4,000 + $347.22)

Total Interest = $347.22

Thus, the 24-month CD purchased for $4000 will yield a future value of $4,347.22 at maturity.

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For Wesley:

distance = 7.7miles, time = 3.5h

For Xavier:

distance = 3.5 miles, time = 1.25h

For Yvette:

distance = 4.224 miles, time = 1.76h

For Zubin:

distance = 5.175 miles, time = 2.25h

Therefore, the complete table is as given below

42 / 15-2^3

First, solve for the exponent:

42 / 15-8

Subtract:

42/7

Divide:

6

The image of C under the translation described by this translation rule (x, y) → (x + 11, y - 8) is: (4, -6)

In Geometry, the translation of a geometric figure to the right simply means adding a digit (11) to the value on the x-coordinate (x-axis) of the pre-image while translating a geometric figure down simply means subtracting a digit (8) from the value on the y-coordinate (y-axis) of the pre-image.

Note: Each point on this graph represents 2 units.

Next, we would translate the image of C 11 units to right and 8 units down. Therefore, this transformation can be modeled by this translation rule:

(x, y)                              →               (x + 11, y - 8)

Point at C = (-7, 2)        →      Point at C' = (-7 + 11, 2 - 8) = (4, -6)

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