five friends were comparing the height of their dogs. the heights at the shoulders were 400mm, 370mm, 470mm, 330mm and 500mm. what is the standard deviation (nearest integer) of the heights of these dogs?: * a) 60mm b) 400mm c) 70mm d) 414mm e) 2070mm

Answers

Answer 1

If the heights of five dogs are 400 mm, 370 mm, 470 mm, 330 mm and 500 mm. Then the standard deviation of the heights of the dogs is:

c) 70 mm

Given:

five friends were comparing the height of their dogs.

the heights at the shoulders were 400mm, 370mm, 470mm, 330mm and 500mm.

we are asked to find out the standard deviation of the heights of these dogs = ?

First find mean :

(400+ 370+470 + 330 + 500)/5

Mean = 2070/5

Mean = 414

standard deviation = √∑(xi - mean)²/N-1

= √(400-414)²+(370-414)²+(470-414)²+(330-414)²+(500-414)²/4

= √(14)²+(-44)²+(56)²+(-84)²+(86)²/4

= √196+1936+3136+7056+7396/4

= √19720/4

= √4930

= 70.21

rounding it to the nearest integer.

= 70 mm

Hence we get the required standard deviation as 70 mm.

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Related Questions

PLEASE HELP!!! QUICKLY!! 20 points!!!

Josh will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of $59 and costs an extra $0.08 per mile driven. The second plan has an initial fee of $52 and costs an extra $0.13 per mile driven.

For what amount of driving do the two plans cost the same?
______ miles

What is the cost when the two plans cost the same?
$______

Answers

Answer:

140 Miles

$70.2

Step-by-step explanation:

1. Set up an equation

    In this case, the equation would be [tex]59 +0.08x=52+0.13x[/tex]

    In this equation, x = miles

2. Simplify

    You need to subtract 0.08x from the left side and 52 from the right   side.  

    This will give you a number that is equal to an x value.

    [tex]7=0.05x[/tex]

3. Divide

    Divide 0.05 from both sides. This will give you X=140. Since x=miles,                

    You would need to drive 140 miles to make the two sides equal.

4. Find the cost.

    Plug the 140 in for the x on one side. You only need to do this to one  

    side because both of the sides are equal.

    59 + (0.08 x 140) = $70.2

What is the rule for range?

Answers

The range is roughly four times the standard deviation, according to the range rule of thumb.

We have to explain, the rule for range.

As we know that;

The group of all possible dependent values that a function or relation can produce from its domain values is known as its range. It consists of every potential output.

There have range rule of thumb;

The range is roughly four times the standard deviation, according to the range rule of thumb. Another statistician's measure of spread is the standard deviation. It describes the way that your data is grouped around the mean.

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8.
Find the value of the missing side.
64°
X
Write the trig equation to solve for x.
11

Answers

[tex]\tan 64^{\circ}=\frac{x}{11} \implies x=11 \tan 64^{\circ}[/tex]

What is the value of the expression below when x= 6 x^2+10x+3

Answers

Answer: 99

Step-by-step explanation:

substitute 6 in to the x in the equation

[tex]6^{2} +10(6)+3[/tex]

36+60+3

96+3

99

Answer:

99

Step-by-step explanation:

(6)^2 +10(6)+3

6^2=6*6=36

10*6=60

36+60+3

99

What are the two equations of a line?

Answers

The two equations of a line are 1) Two point form

2)Slope-intercept form

Two-point form: The equation of a line passing through the two points [tex](x_{1} ,y_{1} )[/tex] and [tex](x_{2} ,y_{2} )[/tex]. The slope of the two-point form is [tex]m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

The equation is [tex]y-x_{1}=\frac{y_{2} -y_{1} }{x_{2} -x_{1} } (x-x_{1})[/tex]

Slope-intercept form: The slope-intercept form is [tex]y=mx+c[/tex]. Here m represents the slope of the line and c represents the y-intercept of the line.

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does there appear to be an association between extent of binge drinking and age group in the population from which the sample was selected? carry out a test of hypotheses at significance level 0.01 dependent

Answers

The hypothesis is a proposed cause of a phenomenon in this binge drinking the hypothesis is not proof.

For a speculation to be a systematic speculation, the clinical technique calls for that you will take a look at it. Scientists normally base clinical hypotheses on preceding observations that can't satisfactorily be defined with the to be had clinical theories.

Unintended being pregnant and terrible being . Binge consuming is sort of two times as not unusualplace amongst guys than amongst women.There isn't anyt any proof of a great affiliation among binge consuming and age group. Fail to reject Hypothesis.

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Determine whether y = 2x + 3 and y - 1 = 1/2(x + 2) is parallel, perpendicular, or neither

Answers

Answer: neither

Step-by-step explanation:

y=mx+b

y=2x+3

m= 2/1

y-1=1/2(x+2)

y-1=1/2x +1

+1          +1

y=1/2x + 2

m=1/2

which equation can be solved by using this system of equations? startlayout enlarged left-brace 1st row y = 3 x superscript 5 baseline minus 5 x cubed

Answers

By using the concept of equation, it can be calculated that-

The equation can be solved by using this system of equations

[tex]3x^5-5x^3+2x^2-10x+4=4x^4+6x^3-11[/tex]

What is equation?

At first it is important to know about algebraic expressions.

Algebraic expression consist of variables and numbers connected with addition, subtraction, multiplication and division.

Equation shows the equality between two algebraic expressions by connecting the two algebraic expressions by an equal to sign.

Here the system of equation are-

[tex]3x^5-5x^3+2x^2-10x+4=0\\4x^4+6x^3-11=0[/tex]

So the equation can be solved by using this system of equations

[tex]3x^5-5x^3+2x^2-10x+4=4x^4+6x^3-11[/tex]

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Complete Question

Which equation can be solved by using this system of equations?

[tex]3x^5-5x^3+2x^2-10x+4=0\\4x^4+6x^3-11=0[/tex]

Which sampling method is the most appropriate in studying the opinions of stay-at-home mothers in all towns across the country?

Simple random sampling, because the people in the sample are accessible and available

Stratified sampling, because there are specific subgroups to investigate
Systematic sampling, because of the ease in selecting every nth person
Cluster sampling, because the studied population is spread across a wide area such that simple random sampling would be difficult to implement

Answers

The sampling method that is the most appropriate in studying the opinions of stay-at-home mothers in all towns across the country is A. Simple random sampling, because the people in the sample are accessible and available

What is sampling?

Sampling is the process of selecting the group from which you will collect data for your research. For example, if you want to know what students think at your university, you could survey 100 of them. In statistics, sampling allows you to test a hypothesis about a population's characteristics.

Simple random sampling is a type of probability sampling in which a subset of participants is chosen at random from a population. Each person in the population has an equal chance of being chosen. The data is then collected from as large a percentage of this random subset as possible.

Based on the information illustrated, the correct option is A.

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Answer: D) Cluster sampling, because the studied population is spread across a wide area such that simple random sampling would be difficult to implement

Step-by-step explanation: Just took the test and got this right, also simple random sampling one small town wouldn't be an accurate sample for the entire country, and cluster sampling is better since the question inquired about the entire country... If that makes any sense lol.

What is ""house flipping?""
a. the process of transferring ownership of a house from one person to another.
b. the process of buying a house with the intention of selling it for a profit after only a short time.
c. the process of two people exchanging the titles to their properties.
d. the process of a house’s market price rapidly fluctuating. please select the best answer from the choices provided a b c d

Answers

house flipping is the buying of a house for a low price with the intention of reselling it for a profit after a short period of time.

Buyers that acquire distressed houses, patch them up, and then resell them for a profit are included. These properties are often found through foreclosures, bank short sales, or property auctions.

To be successful at real estate flipping, you must be able to manage your money properly and invest in inexpensive homes. These are generally properties that need a lot of attention.

Following that, you'll need to spend on modifications that will boost the resale value of the house and draw the attention of a possible buyer. When the improvements are finished, you must list and advertise the home.

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Orion Labs needs to make 500 gallons of 34% acid solution. The only solutions available are a 25% acid solution and a 50% acid solution. Write and solve a system of equations to find the number of gallons of each solution that should be mixed to make the 34% solution.


Equation 1 (gallons):


Equation 2 (% acid):




____gallons of 50% acid solution and

_____gallons of 25% acid solution.

Answers

Answer:

A lab needs to make 500 gallons of a 34% acid solution. The only solutions available are a 25% acid solution and a 50% acid solution. How many gallons of each solution should be mixed to make the 34% solution?

***

let x=amount of 25% solution to mix

500-x=amount of 50% solution to mix

.25x+50%(500-x)=34%*500

.25x+250-.50x=170

.25x=80

x=320

500-x=180

amount of 25% solution to mix=320 gal.

amount of 50% solution to mix=180 gal

Step-by-step explanation:

please help on number 22 and explain please.

Answers

The value of the entry will not match will be;

⇒ 10⁻⁶

⇒ [tex]\frac{1}{10^5^/^3}[/tex]

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The number is,

⇒ [tex]10^{\frac{-3}{5} }[/tex]

Now,

Since, The number is,

⇒ [tex]10^{\frac{-3}{5} }[/tex]

Hence, It can be written as;

⇒ [tex]10^{\frac{-3}{5} }[/tex] = [tex]10^({\frac{-3}{5} })[/tex]

           = [tex]\sqrt[5]{10^-^3}[/tex]

           = [tex](\frac{1}{10^{\frac{1}{5} }} )^3[/tex]

Thus, The value of the entry will not match are given as,

⇒ 10⁻⁶

⇒ [tex]\frac{1}{10^5^/^3}[/tex]

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what is
c/5 +1.00=9.00

Answers

Answer:

c = 40

Step-by-step explanation:

What is the angular radius 0 of the first dark ring for a point source being imaged by this telescope?

Answers

The angular radius θ of the first dark ring for a point source being imaged by this telescope is 4.00 × 10^-5 degrees

The value of λ = 550 nanometer

The value of D = 0.96 m

We have to find the angular radius theta

The equation will be

sin θ = 1.22λ / D

Substitute the values in the equation

sin θ = 1.22 × (550 × 10^-9) / 0.96

Multiply the term in the numerator

sin θ = 6.71 × 10^-7 / 0.96

Divide the numbers

sin θ = 6.98 × 10^-7

θ = sin^-1 (6.98 × 10^-7)

θ = 4.00 × 10^-5

Therefore, the value of θ is 4.00 × 10^-5 degrees

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work out the reciprical of 3.5

Answers

Answer:

       [tex]\frac{2}{7}[/tex]

Step-by-step explanation:

3.5 = [tex]\frac{7}{2}[/tex]

swap the numerator and denominator (flip the fraction):

reciprocal of [tex]\frac{7}{2}[/tex] is [tex]\frac{2}{7}[/tex]


Which triangle involves altitudes?

Answers

Answer:

The isosceles triangle altitude bisects the angle of the vertex and bisects the base. It should be noted that an isosceles triangle is a triangle with two congruent sides and so, the altitude bisects the base and vertex.

What is the solution to this equation? x over 5 equals 25

Answers

Answer: 5

Step-by-step explanation:

Because 5x5=25

help me pls i have the mind of a 6th grader lol

Answers

The equation used to find the answer is 26 -14 -6 =

what is an equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign. For example, 3x – 5 = 16 is an equation.

number of flowers picked by the girl = 14

number of flowers already with her = 6

number of flowers picked by her grand mother = 26

so her grandmother picked 26 - 14 - 6 flowers more than her. so then equation becomes 26 -14 -6 = ?

In conclusion, the equation that best describes the above is 26 -14 -6 = ?

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qlqn peut m'aider pr les coordonnées

Answers

Answer: something

Step-by-step explanation: you are welcome

A new car is purchased for 21900 dollars. The value of the car depreciates at 12. 25% per year. To the nearest year, how long will it be until the value of the car is 5300 dollars?.

Answers

It will take 2 years for the value of the car to be 5300 dollars based on the car depreciation rate.

A = [tex] {P (1-r)}^{nt} [/tex], where A is amount, P is principal, r is rate, t is time period and n is number of iterations in a year.

Keep the values in formula -

5300 = 21900 (1 - 12.25)t

Performing division on Left Hand Side of the equation

5300/21900 = (0.1225)t

Performing division on Left Hand Side of the equation and subtraction on Right Hand Side of the equation

0.24 = 0.1225t

Performing division

t = 0.24/0.1225

t = 1.96 or 2

Hence, it will take 2 years.

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define row matrix with examples?

Answers

Answer:

There are two elements arranged in a single row and two columns in the matrix, hence it is an example of a row matrix. Example 3: A Row matrix of the order 1 x 3, is: A = [ 1 3 8 ] 1 × 3. In the above example, there are three elements in the matrix arranged in a single row and three columns.

Step-by-step explanation:

HOPE IT HELPS U BTW HAVE A GOOD DAY :D

Which theorem shows triangle ATC is congruent to triangle BTD?

Answers

The theorem to shows triangle ATC is congruent to triangle BTD will be ''SAS'' theorem.

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

The triangle ATC is congruent to triangle BTD.

Now,

In the figure, we get;

⇒ AT = TB   (Side)

⇒ AC = BD  (Side)

⇒ ∠ATC = ∠DTB = 90°  (Vertically opposite angle)

Thus, By using SAS theorem the triangle ATC is congruent to triangle BTD.

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a certain field is a rectangle with a perimeter of feet. the length is feet more than the width. find the width and length of the rectangular field.

Answers

The length and width of the rectangular field is 316 ft and 133 ft respectively.

An algebraic equation is a mathematical statement that equalises two expressions. A variable, coefficients, and constants are common components of an algebraic equation. Also look into Algebraic Expressions. Equality is represented by equations or the equal sign.

It is balanced because both sides are equal in value. To avoid making an error that throws the equation out of balance, ensure that any change on one side is reciprocated on the other.

Given,

perimeter of rectangular field = 898 ft

let width be 'x'

then,

length = x+183

The perimeter of a rectangle is,

[tex]P = 2(length + width)\\\\898 = 2( ( x + 183 ) + x )\\\\898 = 2(2x+183)\\\\898 = 4x + 366\\\\4x = 898 - 366\\\\4x = 532\\\\x=\frac{532}{4}\\\\x=133[/tex]

Thus, the width is 133 ft and length is (133+183)=316 ft.

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Your question is incomplete, here is the complete question.

A certain field is a rectangle with a perimeter of 898 ft. The length is 183 ft more then the width. Find the width and length of the rectangular field?

Sofia bought a large cake and cut it into 15 slices for her birthday.Her friends ate 2/3 of the cake.How many pieces of of the cake were left?

Answers

2/3 of 15 slices would be 10 slices the friends ate so 15- 10 is 5
Answer= 5

Answer:

5

Step-by-step explanation:

Based on the given conditions, formulate: 15 × ( 1 - 2/3)

Apply Multiplicative Distribution Law: 15 - 10

Calculate the sum or difference: 5

If an equation is balanced properly both sides of the equation must have the same number of.

Answers

Both sides of an equation must contain the same number of atoms in order for it to be properly balanced.

An element is balanced if it has the same amount of atoms on both sides of the equation. The equation is balanced if all the components are in balance. Equal numbers and types of each atom appear on both sides of balanced chemical equations. A balanced equation must have coefficients that are the simplest whole number ratio. Chemical reactions always conserve mass.

When the quantity of each type of atom is the same on both sides of the reaction, a chemical equation is considered to be balanced. A chemical equation should have the same number of atoms on both sides. The number of atoms for each element is conserved during a chemical reaction, despite the possibility that reactant molecules may change during the process (producing distinct molecules of product).

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Correct Question:

If an equation is balanced properly both sides of the equation must have the same number of _________________.

PLEASE HELP ME THIS IS URGENT

Answers

Using the concept of asymptote of the function it can be concluded that the number of boxes of cereals sold is 0 after 0 weeks, it will keep falling after reaching the maximum sales and cereals sold is always positive as the cereals introduced so the correct option are A, C and E.

What is the asymptote of the function?

A line that a curve approaches but never touches is an asymptote. The graph of a function converges to a line known as an asymptote, in other words. When graphing functions, asymptotes are usually not necessary to be drawn. The curve must not contact the asymptote when we graph them using dotted lines (imaginary lines). As a result, the asymptotes are merely made-up lines. When either the value of x or y tends to or -, the distance between the asymptote of a function, y = f(x), and its graph is close to zero.

Option A is correct as according to the option A: - B(w)= [tex]\frac{120w}{150+w^{2} }[/tex], w=0.

On putting the value of w=0 in above function implies B(w)=0.

Hence, number of boxes of cereals sold is 0 after 0 weeks.

Option C is correct as function B(w) is decreasing function after reaching its maxima according to graph.

Option E is correct as B(w)= [tex]\frac{120w}{150+w^{2} }[/tex], if w>0

implies that B(w)>0 as numerator>0 and denominator>0.

Based on the asymptote of function the number of boxes of cereals never reach 0 after cereals introduced in the store.

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Can a gerund be used in place of an infinitive if yes explain through examples?

Answers

Gerund can be used in place of infinitive depends on the sentence as this is a subjective.

Some of the sentence only use infinitive.Some of the sentences use both without change in the meaning.Some of the sentences used by both but by change in the meaning.

Explanation:

Gerund can be used in place of infinitive in the sentence.

Infinitive is the basic form of verb without any change in the original form of word.Example : She likes to dance.Gerund : in simple explanation verbs ends with ing.Gerund is a verb form act as a noun.Gerund is a noun being either the subject or the object of the given sentence.Example : I like studyingThey are interchangeable or not depends on the sentence.This is a subjective.Some of the sentence only use infinitive.Some of the sentences use both without change in the meaning.Some of the sentences used by both but by change in the meaning.

Therefore, gerund and infinitive are interchangeable or not depends on the sentence.

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a researcher wants to test the claim that the proportion of men who watch television regularly is greater than the proportion of women who watch television regularly. she finds that 56 of 70 randomly selected men and 47 of 85 randomly selected women report watching television regularly. a 95% confidence interval for the difference in population proportions is (0.10581, 0.38831). which of the statements gives the correct outcome of the researcher's test of the claim?

Answers

Therefore , the answer is  the confidence interval is positive, the researcher can conclude there is a greater proportion of men than women who watch television regularly.

Confidence interval definition:

A confidence interval in frequentist statistics is a range of estimates for an unobserved parameter. The most common confidence level for computing confidence intervals is 95%, however other levels, including 90% or 99%, are sporadically employed.

Here,

Assuming that the confidence interval's lower and upper bounds are both positive and that it does, then one of the proportions must be larger than the other as the confidence interval's range corresponds to the difference in proportions. Men watch television more frequently than women do (56/70 vs. 47/85, according to a quick calculation of the proportions).

The reply is "D" The researcher can infer that more men than women routinely watch television because the confidence interval is positive.

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25 POINTS!! Brainiest and EXTRA POINTS!! Someone please help me with both problems ASAP!!
First triangle: 20,22, and 18(please solve for All letters includes: X,Y, and Z)

Second triangle: 50,29, and 26

Third Triangle: 55,90, and 50(please solve for All letters includes: X,Y, and Z)

Also, please show your work so I will understand how to do it properly.

Answers

The required measure of the angle x is given as 117.38°.

A triangle is given with a measure of.
a = 50, b = 55 and c = 90ft

What is the triangle?

The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not be greater than 180°

Here,
Apply cosine formula,
c² = a² + b² -2abcosx
Substitute the value in the above expression,
90² = 50² + 55² - 2×50×55×cosx
cosx = -0.46
x = cos⁻¹[-0.46]
x = 117.38°

Hence, as a result, the measure of the angle x is 117.38°.

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Please be right

Need help asap

Answers

Answer: 3.51

Step-by-step explanation:

Answer: The tip was 3.50$

Step-by-step explanation: Since the tip is 20% you would times the given amount by 20 then divide it by 100.

20 x 17.53 / 100 = 3.506

We're rounding to the nearest cent, so that would be 3.50.

Other Questions
What does it mean to dilate a rectangle? Thermal energy moves from an area of. Matter to an area of matter Psychological disorders consist of emotions, behavior, and cognitive processes that are all of the following except: _________a. maladaptive. b. dysfunctional. c. that they interfere with daily functioning d. immoral . Read the following biographies:Biography A "Marie Tharp grew up in the 1930s, wanting to be a surveyor like her father. Although she helped him in his work, women werent welcome in the sciences, so she went to music school instead and waited for a chance. When colleges emptied of men during World War II, she was allowed to get a geology degree and then another in mathematics. "She wanted to investigate the ocean depths, but women werent allowed on research ships. So she waited again, this time in a basement office, for her male colleagues to send back data. Working slowly and precisely, she turned those numbers into the most detailed map of the sea floor ever made. "Marie wanted her colleagues to understand that her depictions of sea floor geography were powerful evidence for the theory of continental drift, but they dismissed it as 'girl talk.' It took almost a decade for her work to be accepted. Shed wait many more years to get full credit.Biography B "Rosalind Franklin decided she wanted to be a scientist when she was still a teenager, but her father didnt believe in higher education for women. She eventually did enroll in the University of Cambridge, but when she graduated in 1941, women were not considered full members of the college and were ineligible for higher-degree awards. "She went on to conduct groundbreaking work exploring the structure of DNA using x-ray photographs. Although her work was excellent and her research was published in major scientific journals, she had to fight against lower pay and slower promotions than her male peers. At times, others in the lab treated her more as an assistant than a fellow scientist. Franklin also had difficulties collaborating with her colleagues because women were not allowed in the university dining rooms or clubs where theories were shared and debated over meals and drinks. "Franklin continued her work regardless, capturing the first clear images of DNA in what were later called 'the most beautiful X-ray photographs of any substance ever taken.' Before she could publish her results, however, a male scientist in her lab showed her photographs to two rival researchers, James Watson and Francis Crick. Watson and Crick used what they saw in Franklins photos to help them develop their famous model of the double helix of DNA. They were hailed all over the world for their discovery and received a Nobel Prize for it. 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