Use the Histogram below to answer

Use The Histogram Below To Answer

Answers

Answer 1

Considering the given histogram, we have that:

1. Chebyshev's Theorem.

2. At least 89%.

3. At least 75%.

What does Chebyshev’s Theorem state?

When we have no information about the population distribution, Chebyshev's Theorem is used. It states that:

At least 75% of the measures are within 2 standard deviations of the mean.At least 89% of the measures are within 3 standard deviations of the mean.

An in general terms, the percentage of measures within k standard deviations of the mean is given by [tex]100(1 - \frac{1}{k^{2}})[/tex].

We can see from the histogram that the distribution is not normal, hence Chebyshev's Theorem can be used.

-15 and 105 are within 3 standard deviations of the mean, hence the percentage is of at least 89%.

As stated in the bullet points, at least 75% of the measures are within 2 standard deviations of the mean.

More can be learned about Chebyshev's Theorem at https://brainly.com/question/25303620

#SPJ1


Related Questions

If P= (-6,4) find Ry= -x (P)

Answers

The value of Ry= -x (P) is P' = (4, 6)

How to determine the transformation?

The point is given as:

P = (-6, 4)

The transformation Ry= -x (P) means tha:

(x, y) = (y, -x)

So, we have:

P' = (4, 6)

Hence, the value of Ry= -x (P) is P' = (4, 6)

Read more about transformation at:

https://brainly.com/question/11709244

#SPJ1

Drag each equation to the correct location on the table. Determine which equations will result in extraneous solutions.

Answers

Answer:

extraneous: 2, 5, 7

not: 1, 3, 4, 6, 8

Step-by-step explanation:

ones that have root of an even number and equal a negative are extraneous

Can you prove this statement using properties of logarithms? Assume all expressions exist
and are well-defined
3 log y z^9= log y z^27

Answers

Answer:

see below

Step-by-step explanation:

what 3 logy z^9 means you need to break it into two pieces, one log y z^9 means to find the exponent of y, and you can think z^9 as a number, and then if we multiple it with 3, which means three logs are summed,(the property of multiplication:3*2 means 2+2+2), thus log + log

has the property that the y is same z^9*z^9*z^9=z^(9+9+9)=z^27

assuming that the series will continue in the same pattern the next number in the series 3,5,11,29... is

Answers

Notice that

5 - 3 = 2

11 - 5 = 6

29 - 11 = 18

and these differences form a geometric sequence,

{2, 6, 18, ...} = {2×3⁰, 2×3, 2×3², ...}

so a reasonable guess for the next number in the sequence might be 2×3³ = 54.

The sequence might be 2×3^3^3 = 54.

We notice that 5 - 3 = 2

11 - 5 = 6

29 - 11 = 18

and these differences form a geometric sequence,

What is the geometric sequence?

A geometric sequence is a special type of sequence where the ratio of every two successive terms is a constant.

{2, 6, 18, ...} = {2×3^0, 2×3^1, 2×3^3, ...}

So the next number in the sequence might be 2×3^3 = 54.

To learn more about the geometric sequence visit:

https://brainly.com/question/1509142

#SPJ2

Find the perimeter of the rectangle.

Answers

Answer:

10x² + 8x + 22

Step-by-step explanation:

The perimeter of a rectangle is the measurements of all four side lengths added together

(you can simply multiply both side lengths by 2, because they are the same on both sides--but I'll write them all out for clarity)

side A (top): 5x² + 3x + 7

side B (right): x + 4

side C (bottom): 5x² + 3x + 7

side D (left): x + 4

perimeter = side A + side B + side C + side D

5x² + 3x + 7 + x + 4 + 5x² + 3x + 7 + x + 4

now, as you might have noticed, this is a long equation

so, we must combine like terms:

(this is the problem reordered so like terms are next to each other:)

(5x² + 5x²) + (3x + x + 3x + x) + (7 + 4 + 7 + 4)

10x² + 8x + 22

So, the perimeter of this rectangle is 10x² + 8x + 22

hope this helps! have a lovely day :)

solve this question please?

Answers

Hence the value of the expression above are as listed below

f(6+4) = 25

f(6)+f(4) = 20

f(6-4) = 1

f(6)-f(4) = 6

f(6*4) = 67

f(6)*f(4) = 91

Functions and values

Given the expression below f(x) = 3x - 5

f(6+4) = f(10) =3(10) - 5

f(6+4) = 25

f(6) = 3(6) - 5

f(6) = 18 - 5 = 13

f(4) = 3(4) - 5

f(4) = 7

f(6)+f(4) = 13+7

f(6)+f(4) = 20

f(6-4) = f(2) =3(2) - 5

f(6-4) = 1

f(6) = 3(6) - 5

f(6) = 18 - 5 = 13

f(4) = 3(4) - 5

f(4) = 7

f(6)-f(4) = 13-7

f(6)-f(4) = 6

f(6*4) = f(24) =3(24) - 5

f(6*4) = 67

f(6) = 3(6) - 5

f(6) = 18 - 5 = 13

f(4) = 3(4) - 5

f(4) = 7

f(6)*f(4) = 13*7

f(6)*f(4) = 91

Learn more on function and values here: https://brainly.com/question/2284360

#SPJ1

The transportation department has to put a railing along the outer curve of this road. The road is 20 feet wide. What is the length of the outer curve to the nearest foot? Use the value

Answers

Using the arc length formula, the length of the outer curve is approximately 85 feet.

How to Find the Length of an Arc?

Arc length = ∅/360 × 2πr.

Apply the arc length formula to find the length of the outer curve, given the following:

∅ = 70°π = 3.14r = 50 + 20 = 70 feet

Plug in the values

Arc length = 70/360 × 2(3.14)(70)

Arc length = 70/360 × 2(3.14)(70) ≈ 85 feet.

The length of the outer curve is approximately 85 feet.

Learn more about arc length on:

https://brainly.com/question/17329757

#SPJ1

Need help regarding radioactive decay type of question

Answers

By applying the radioactive simple decay model, we find that the initial quantity of the radioactive isotope is equal to approximately 5.63 grams.

How to determine the initial mass of a radioactive isotope

Mass of radioactive isotopes (m (t)), in grams, decay exponentially in time according to the following model:

[tex]m(t) = m_{o}\cdot e^{-t/\tau}[/tex]     (1)

Where:

[tex]m_{o}[/tex] - Initial mass, in gramst - Time, in yearsτ - Time constant, in years

The time constant can be found in terms of half-life:

τ = t'/㏑ 2

If we know that t' = 24100 yr, t = 1000 yr and m(t) = 5.4 g, then the initial mass of the radioactive isotope is:

τ = 24100 yr/㏑ 2

τ ≈ 34768.95 yr

[tex]5.4 = m_{o}\cdot e^{-1000/24100}[/tex]

[tex]m_{o} = 5.629\,g[/tex]

By applying the radioactive simple decay model, we find that the initial quantity of the radioactive isotope is equal to approximately 5.63 grams.

To learn more on radioactive decay: https://brainly.com/question/1770619

#SPJ1

can you please help me with this

Answers

Answer:

Point A

Step-by-step explanation:

Point A is closest to 9

every line counts as 0.1

solve for x: x = 0.7x + 24

Answers

Answer:

x=80

Step-by-step explanation:

x=0.7x+24

We move all terms to the left:

x-(0.7x+24)=0

We get rid of parentheses

x-0.7x-24=0

We add all the numbers together, and all the variables

0.3x-24=0

We move all terms containing x to the left, all other terms to the right

0.3x=24

x=24/0.3

x=80

Answer:

x = 80

Step-by-step explanation:

We are given the following equation.

x = 0.7x + 24

And we want to solve it for x.

For these kinds of equations, the way to solve for x is to isolate x on one side.

Because we have terms with x on both sides of the equation, we need to remove it from one side.

It's a good idea to remove x from the right side, as we also have our numbers on that side. If we move it to the left side, there aren't any numbers there, so we can more easily solve this equation.

Here is our equation again:

x = 0.7x + 24

Subtract 0.7x from both sides.

x = 0.7x + 24

-0.7x -0.7x

______________________

0.3x = 24

Now, we have variables on one side, and numbers on the other, but we aren't done yet.

Remember that we are solving for x, not 0.3x. (When x is written by itself, it is the same as 1x).

So, in order to find the value of 1x, we need to divide both sides by 0.3, as when a number is divided by itself, the value is 1. If there is a variable, the value will be 1*that variable (e.g. 1n, or n)

**Note that we don't divide by 0.3x, as if we did that, the left side would equal just 1, not 1x.

So, let's divide both sides by 0.3.

0.3x = 24

÷0.3   ÷0.3

__________

x = 80

Topic: solving linear equations

See more: https://brainly.com/question/24498168

One number is 5 times a first number. A third number is 100 more than the first number. If the sum of the three numbers is 331, find the numbers.

Answers

Answer:

33, 165, 133

Step-by-step explanation:

Check this file for the solution!

Answer:

33, 165, 133

Step-by-step explanation:

let the first number be n then

second number is 5n

third number is n + 100

sum the 3 numbers and equate to 331

n + 5n + n + 100 = 331 , that is

7n + 100 = 331 ( subtract 100 from both sides )

7n = 231 ( divide both sides by 7 )

n = 33

5n = 5 × 33 = 165

n + 100 = 33 + 100 = 133

the numbers are 33, 165, 133

Find the height of a triangle with an area (A) of 42 square inches and
base (b) of 7 inches. Use the formula for the area of a triangle,

588 inches
147 inches
3 inches
12 inches

Answers

Answer:

147

Step-by-step explanation:

start by multiplying 42 and 7=294

now divide that by 1/2 =147

HELP ASAP

will mark brainliest

Answers

m=1/4

(or m=0.25)

M= rise/run

= 1/4

Hope this helps!

WILL MARK BRAINLIEST

Answers

Answer: constant of proportionality = 0.75

How to find constant of proportionality?

Constant of proportionality is the same as the slope of a straight line.

Slope formula is given by:

[tex]\sf slope: \dfrac{y_2 - y_1}{x_2- x_1} = \dfrac{\triangle y}{\triangle x} \ \ where \ (x_1 , \ y_1), ( x_2 , \ y_2) \ are \ points[/tex]

Here take two points: (0, 0), (4, 3)

[tex]So, \sf \ slope : \dfrac{3-0}{4-0} = \dfrac{3}{4} \quad or \quad 0.75[/tex]

Hence, the constant of proportionality is 0.75

Answer:

Constant of proportionality = 0.75

Step-by-step explanation:

To find the constant of proportionality of a graph that goes through the origin:

• First select a point on the graph whose coordinates you can easily read; in this case such a point is already marked (4, 3).

• Next, simply divide the y-value by the x-value of the coordinates to find the constant of proportionality:

Constant of proportionality = y ÷ x

                                              3 ÷ 4

                                             ⇒ 0.75

What is 8/9 divided by 2/3

Answers

Use it the way I solved in the picture you will understand much better

Round to the nearest whole number.



568.3

Answers

Answer:

568.3 into the nearest hundred

5.683

Answer:

568

Explanation:

A whole number is a number without any fractional part; in other words, it does not have any non-zero digits after the decimal point.

When you round a number to the nearest whole number, first look at the digit right after the decimal point;

• if the digit is less than 5, then the nearest whole number is the original number, but without any digit after the decimal point. [rounding down]

• if the digit is 5 or greater than 5, then the nearest whole number is the next whole number (i.e., add 1 to the original number and remove the digits after the decimal point). [rounding up]

Drag each tile to the correct box. The water level of a tank every minute since it began filling is indicated by segments A, B, and C on the graph below. A graph represents the water level to fill the tank on Y-axis per time on X-axis. Segments A, B, and C fill the tank from 10 to 60, 60 to 80, and 80 to 110 centimeters in the first 2, next 4, and last 3 minutes. Place the segments in the correct order from the least to the greatest rate of increase in the water level. B A C

Answers

The least to greatest slope, the segments are B, C, and A.

We have given that,

The water level of a tank every minute since it began filling is indicated by segments A, B, and C on the graph below.

A graph represents the water level to fill the tank on Y-axis per time on X-axis.

The rate of increase of water level is indicated by the slope of the segment. The slope is the ratio of rise to run, and is related to the angle the segment makes with the +x axis.

Segments that have more rise for the same run have greater slope. Segments that make a larger reference angle with the +x axis have a larger slope.

Here, segment B has the least slope, followed by C, then A, which has the largest slope.

In order, the least to greatest slope, the segments are B, C, and A.

To learn more about the slope visit:

https://brainly.com/question/3493733

#SPJ1

Answer: bca

Step-by-step explanation:

B C A

Find the
quotient for 12 2/5 / 1/4

Answers

[tex]12 \frac{2}{5}=\frac{62}{5}\\\\\frac{62/5}{1/4}=4\left(\frac{62}{5} \right)=\frac{248}{5}=\boxed{49 \frac{3}{5}}[/tex]

suppose a radioactive substance decays according to the equation y=200e^-0.75t, where y represent the mass in gram after t hours. calculate the mass of the substance after 3.5 hours have elapsed​

Answers

Answer:

i am not sure

Step-by-step explanation:

5. It is reported that 20% of Canadian are on CERB (Canada Emergency Response Benefit). In order to further investigate this topic, a researcher selects a random sample of 10 Canadian across the country. Assuming that this is a proper Binomial experiment, what is the probability that at least 3 Canadian are on CERB in the sample? [3 Marks]. 5. It is reported that 20 % of Canadian are on CERB ( Canada Emergency Response Benefit ) . In order to further investigate this topic , a researcher selects a random sample of 10 Canadian across the country . Assuming that this is a proper Binomial experiment , what is the probability that at least 3 Canadian are on CERB in the sample ? [ 3 Marks ] .​

Answers

Using the binomial distribution, it is found that there is a 0.3222 = 32.22% probability that at least 3 Canadian are on CERB in the sample.

What is the binomial distribution formula?

The formula is:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.

The values of the parameters are:

n = 10, p = 0.2.

The probability that at least 3 Canadian are on CERB in the sample is:

[tex]P(X \geq 3) = 1 - P(X < 3)[/tex]

In which:

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2).

Then:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{10,0}.(0.2)^{0}.(0.8)^{10} = 0.1074[/tex]

[tex]P(X = 1) = C_{10,1}.(0.2)^{1}.(0.8)^{9} = 0.2684[/tex]

[tex]P(X = 2) = C_{10,2}.(0.2)^{2}.(0.8)^{8} = 0.3020[/tex]

Then:

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.1074 + 0.2684 + 0.3020 = 0.6778.

[tex]P(X \geq 3) = 1 - P(X < 3) = 1 - 0.6778 = 0.3222[/tex]

0.3222 = 32.22% probability that at least 3 Canadian are on CERB in the sample.

More can be learned about the binomial distribution at https://brainly.com/question/24863377

#SPJ1

Interpreting a Line of Best Fit
Use the graph and equation to answer the question.

A graph with number of visitors on the x-axis and amount of money on the y-axis. A trend line has equation y = 7.48 x + 2,245.21.

The graph includes ordered pairs displaying the relationship between the number of visitors at a museum during regular hours in a day (x) and the amount of money the museum collects during the given day (y).
The slope indicates that the museum

for every additional
, and the y-intercept could represent the daily average
.

Answers

Answer: A, C, C.

100%

Step-by-step explanation:

Can anyone help me solve this question?

Answers

Answer: 110

Step-by-step explanation:

<ABC = <DEF

180 - <DEF = 180 - 70

<BED = 110

5m-8=2m+2

what does m equal

Answers

Answer:

m = 10/3

(as a decimal: m = 3.333...)

Step-by-step explanation:

5m - 8 = 2m + 2

 5m - 8 = 2m + 2

- 2m       - 2m              (make all "m" on one side to isolate variable)

 3m - 8 = 2    

      + 8 + 8              (get m entirely on 1 side)

3m = 10

÷3      ÷3                         (divide by 3 to get 1m)

m = 10/3

(as a decimal: m = 3.333...)

hope this helps!! have a lovely day :)

Help please
This diagram shows the measurements of a yard.
What is the area of the yard?
Enter your answer in the box.

Answers

Answer:

Step-by-step explanation:

we can break up the figure into 2 rectangles by extending the 8m side downward until it meets the bottom (see image)

Area of this rectangle = 10 * 2 =20 sq meters

Area of the other rectangle = 8 *2 = 16 sq meters

Total area = 36 sq meters

You design a new app for cell phones. Your revenue for x downloads is given by f(x) = 3x Your profit
is $20 less than 90% of the revenue for x downloads. Create a function p to model the profit. Find
the profit for 90 downloads.

Answers

Answer:

p = 2.7x - 20

p(90) = $223

Step-by-step explanation:

revenue → f(x) = 3x  ,where x is the number of downloads.

the statement “Your profit p is $20 less than 90% of the revenue for x downloads”

means

[tex]p=90\% f\left( x\right) -20[/tex]

means

[tex]p=\frac{90}{100} \times f\left( x\right) -20[/tex]

means

[tex]p=\frac{9}{10} \times (3x) -20[/tex]

means

[tex]p=\frac{9}{10} \times (3x) -20[/tex]

means

[tex]p=2.7x -20[/tex]

………………………………

the profit for 90 downloads :

= p(90)

= 2.7×(90) - 20

= $223

The sets A and I are defined as follows: A={−2,−1,0,1,7} I= {−2,−1,1,2,8}. Find the intersection of A and I.

Answers

The intersection of A and I are {-2, -1, 1}

How to determine the intersection?

The sets are given as;

A={−2,−1,0,1,7} I= {−2,−1,1,2,8}

The intersection of A and I are the common elements in both sets

The common elements in both sets -2, -1 and 1

This means that:

A n I = {-2, -1, 1}

Hence, the intersection of A and I are {-2, -1, 1}

Read more about sets at:

https://brainly.com/question/2166579

#SPJ1

What is the solution to this equation?
-1/5(x+1 1/4)=-2 1/2

Answers

Answer:

О  x = 10 3/4

[tex]x = 10\frac{3}{4}[/tex]

Step-by-step explanation:

-1/5 ( x + 1 3/4) = -2 1/2

Particularly:

1 3/4 = 1 + 3/4 = 4/4 + 3/4 = 7/4

-2 1/2 = -2 - 1/2 = -4/2 - 1/2 = -5/2

Then:

-1/5 (x + 7/4) = -5/2

(x*-1/5 + 7/4*-1/5) = -5/2

(-x/5 + ((7*-1) / (4*5))) = -5/2

-x/5 + (-7/20) = -5/2

-x/5 - 7/20 = -5/2

-4x/20 - 7/20 = -50/20

-4x - 7 = -50

-4x =  -50  + 7

-4x = -43

x = -43/-4

x = 43/4

43/4 = 40/4 + 3/4 = 10 + 3/4 = 10 3/4

What is the explicit formula for this sequence? -7, -3, 1, 5, ...

Answers

Hello,

What is the explicit formula for this sequence? -7, -3, 1, 5, ... ?

Aₙ₊₁ = Aₙ + 4 and A₀ = -7

⇒ Aₙ = A₀ + nr = -7 + 4n

14,246 is invested, part at 13% and the rest at 12%. If the interest earned from the amount invested at 13% exceeds the interest earned from the amount invested at 12% by $318.23, how much is invested at each rate? (Round to two decimal places if necessary

Answers

The amount of money invested at 13% was $8111, while $6135 was invested at 12%.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Let x represent the amount invested at 13% and y represent the amount invested at 12%, hence:

x +  y = 14246   (1)

Also:

0.13x = 0.12y + 318.23  (2)

Hence:

x = 8111, y = 6135

The amount of money invested at 13% was $8111, while $6135 was invested at 12%.

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

Energy Drinks: Popular energy drinks contain green tea extract and caffeine. Do these energy drinks help you lose weight by increasing your metabolism? Researchers at a medical school designed an experiment to determine the chemical effects of green tea and caffeine on energy metabolism in healthy, lean, young adults. Researchers randomly assigned participants to 2 treatments. One group drank Formula A, a beverage with green tea and caffeine. The other group drank Formula B, a beverage with none of these ingredients but colored to look like Formula A. The beverages were blinded at the production site, so the experiment was double-blind. The researchers chilled the beverages to 6°C. Participants drank the beverages at the same time each day for three days. During the 3 days of the experiment, the researchers fed each participant the same diet. On the 3rd day participants spent 24 hours in a calorimeter chamber to measure their energy metabolism. The medical journal Obesity published the results in 2007. Which confounding variable is controlled by randomly assigning individuals to treatments? the effect of green tea and caffeine on energy metabolism the effect of green tea and caffeine on energy metabolism the physical fitness level of the participants the physical fitness level of the participants the time of day participants drank the beverages the time of day participants drank the beverages

Answers

The confounding variable which is controlled by randomly assigning individuals to treatments is: C. the time of day participants drank the beverages.

What is a confounding variable?

A confounding variable is also referred to as a confounder and it can be defined as a type of variable that has the ability to influence both the independent and dependent variables.

Also, a confounding variable is usually not accounted for by the researcher and as such it can cause a spurious association between the independent and dependent variables.

In this context, we can infer and logically deduce that the time of day at which participants drank the beverages is a confounding variable which is controlled by randomly assigning individuals to treatments.

Read more on confounding variable here: https://brainly.com/question/10863424

#SPJ1

Other Questions
Each producer who initiates the application must submit the following to the insurance company with or as part of each applicaton To mix weed killer with water correctly, it is necessary to mix 30 teaspoons of weed killer with 5 gallons of water. Find how many gallons of water are needed to mixwith the entire box if it contains 36 teaspoons of weed killer.gallons of water are needed to mix with the entire box of weed killer. Simplify the following by removing parentheses and combining terms-(2q+6)+3(2q+4)-2q What does the simile, Continuous as the stars that shine / And twinkle on the milky way describe? When a total lunar eclipse happens, the Moon is in the Earth's:penumbra shadowumbra shadow If fixed costs are $10,000 and variable costs are constant at $1.00 per unit over the relevant range of output, what will the average total cost be when 10,000 units are produced Calculate the mass of water, in g, that can be evaporated at 100C by the addition of 3500 kJ how does knowledge of illegal drugs help the dental assistant's career ? Calculate the x and y components for the vector below. Show all work. d = 43.2 m [43.0 W of N] which political belief can be harmful if implemented radically?1.) nationalism2.) liberalism3.) all political beliefs4.) socialism _____ refers to the granting of permission by one party to another party to use intellectual property rights, such as trademarks, patents, brand names, or technology, to a foreign company under defined conditions along with providing a bundle of services and products. IJ=What is IJ? Help me please!! Thanks Find the domain and range of the following function. Please answer both 1 and 2 Find a formula for the general term an of the sequence assuming the pattern of the first few terms continues.{[tex]\frac{-10}{4}[/tex], [tex]\frac{12}{16}[/tex], [tex]\frac{-14}{64}[/tex], [tex]\frac{16}{256}[/tex],...}Thank you A bike store marks up the wholesale cost of all bikes they sell by 30%. Calvin wants to buy a bike that has a price tag of 123.50. What was the wholesale cost of this bike? Read the excerpt from A Short Walk Around the Pyramids and through the World of Art A map of Europe would be a helpful text feature, because Prove ABCD is a parallelogram by showing both pairs of opposite sides are parallel, given the following points. Show all work!!! HELP PLEASEE What fraction does the green dot represent? What is direct characterization? a characters words, thoughts, and actions the words, thoughts, and actions of other characters an authors description of and specific details about a character an authors outlook or opinion about an event or topic