calculating the five number summary​

Calculating The Five Number Summary

Answers

Answer 1

Answer:

2) 43

4) 65

Step-by-step explanation:

The first and third quartile of the data can be found by calculating the median of the first and second halves of the data.  For example, the first quartile of the data can be calculated thus:

40,41,43,50,56

41,43,50

43

and the third quartile thus:

62,63,65,78,97

63,65,78

65

Hope it helps <3

Answer 2

Answer:

A) 43

B) 65

Step-by-step explanation:

A) First Quartile = [tex](N+1)\frac{1}{4}[/tex]

Where N is the number of observations

=> 1st Quartile = (11+1)(1/4)

=> 1st Quartile = (12)(1/4)

=> 1st Quartile = 3rd number

=> 1st Quartile = 43

B) Third Quartile = [tex](N+1)\frac{3}{4}[/tex]

=> 3rd Quartile = (11+1)(3/4)

=> 3rd Quartile = (12)(3/4)

=> 3rd Quartile = 3*3

=> 3rd Quatile = 9th number

=> 3rd Quartile = 65

Related Questions

If 1/6x+2/3y=8 what is the value of 2x+8y

Answers

Answer: 96

Step-by-step explanation:

Simply multiply the first question by 12 to get 2x+8y=96

Hope it helps <3

Given O below, if WX and YZ are congruent, what is the measure of YOZ? A. 103 B. 257 C.77 D.206

Answers

Answer: your answer should be 103

Answer:

Step-by-step explanation:

103

pls answer quickly!!!

Answers

Answer:

x = 90

y = 100

z = -10

Step-by-step explanation:

To find x and y in the above parallelogram ABCD as shown above, recall that one of the properties of a parallelogram is: the consecutive angles in a parallelogram are supplementary.

This means that the sum of angle A and angle B in the parallelogram ABCD = 180°.

Thus,

(x + 30)° + (x - 30)° = 180°

Solve for x

x + 30 + x - 30 = 180

x + x + 30 - 30 = 180

2x = 180

Divide both sides by 2

2x/2 = 180/2

x = 90

=>Find y:

Also, recall that opposite angles in a parallelogram are congruent.

This means, angle A and angle C in parallelogram ABCD above are equal.

Thus,

(x + 30)° = (y + 20)°

Plug in the value of x to solve for y

90 + 30 = y + 20

120 = y + 20

Subtract 20 from both sides

120 - 20 = y

100 = y

y = 100

=>Find z, if z = x - y

z = 90 - 100

z = -10

Given the polynomial function below, find F(-1)

F(x)= -x^3-x^2+1

A. -3
B. 3
C. 1
D. -1

Answers

Answer

F(-1) = 1

Explanation

To evaluate f(-1) you simply substitute x = -1 into the equation.

- (-1)^3 - (-1)^2 + 1

= - - 1 - 1 + 1 (NB 2 negatives make a positive)

= 1

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A management consulting firm recommends that the ratio of middle-management salaries to management trainee salaries be 9:4. Using this recommendation, what is the annual middle
management salary if the annual management trainee salary is $24,000? (Round your answer to the nearest dollar.)
Enter a number

Answers

Answer:

67500

Step-by-step explanation:

you would set up the equation:x/y=5/4

Let ????(t)=⟨t2,1−t,4t⟩r(t)=⟨t2,1−t,4t⟩. Calculate the derivative of ????(t)⋅????(t)r(t)⋅a(t) at t=2t=2, assuming that ????(2)=⟨2,5,−3⟩a(2)=⟨2,5,−3⟩ and ????′(2)=⟨4,−3,9⟩

Answers

Answer:

The  derivative is  [tex]\frac{ d (r(t) \cdot a(t))}{dt} = 82[/tex]

Step-by-step explanation:

From the question we are  told that

      [tex]r(t) = (t^2 ,1 - t , 4t)[/tex]

       [tex]a(2) = (2, 5, -3)[/tex] and  [tex]a'(2) = (4,-3 , 9)[/tex]

At  t  = 2  

       [tex]r(t) = (2^2 ,1 - 2 , 4(2))[/tex]

       [tex]r(t) = (4 ,-1 , 8 )[/tex]

Now  the derivative  of r(t) is  

      [tex]r'(t) = (2t, -1 ,4)[/tex]

At  t  = 2  

     [tex]r'(t) = (2(2), -1 ,4)[/tex]

     [tex]r'(t) = (4, -1 ,4)[/tex]

Now the derivative   of  [tex]r(t) \cdot a(t)[/tex]   At  t = 2 is

        [tex]= r'(2) a(2) + a'(2)r(2)[/tex]

         [tex]= (4,-1,4)(2,5,-3) + (4,-3,9)(4,-1,8)[/tex]

        [tex]= (8 - 5 -12) + (16+3+72)[/tex]

       [tex]= -9 + 91[/tex]

      [tex]\frac{ d (r(t) \cdot a(t))}{dt} = 82[/tex]

Please answer this correctly

Answers

Answer:

1/9

Step-by-step explanation:

The probability of picking a even number is 1/3

The probability of picking another even number is 1/3(if u put the first one back)

So u multiply 1/3 times 1/3 which gives u 1/9 which is ur answer hope this helps

Answer:

1/9

Step-by-step explanation:

3 cards total

1 even number

P(even) = even/total

                1/3

Put the card back

3 cards total

1 even number

P(even) = even/total

                1/3

P(even, replace, even) = P(even) * P(even) =1/3*1/3 = 1/9

You buy a 33-pound bag of flour for $9 or you can buy a 1- pound bag for $0.39. Compare the per pound cost for the large and small bag. How much is the pounds per dollars

Answers

Answer:

see below

Step-by-step explanation:

9 dollars / 33 lbs = .272727 dollars per lb

.39 / 1 lbs = .39 per lb

The large bag is less expensive

Find a function Bold r (t )r(t) for the line passing through the points Upper P (0 comma 0 comma 0 )P(0,0,0) and Upper Q (1 comma 7 comma 6 )Q(1,7,6). Express your answer in terms of Bold ii​, Bold jj​, and Bold kk.

Answers

Answer:

[tex]r(t)=-ti-7tj-6tk[/tex]

Step-by-step explanation:

Given the points P(0,0,0) and Q(1,7,6).

We are to determine a function r(t) for the line passing through P and Q.

To do this, we express it in the form:

[tex]r(t)=r_0+tD,$ where:\\ r_0$ is the starting point and D is the direction vector.[/tex]

[tex]D=P-D=<0,0,0> -<1,7,6>=<-1,-7,-6)[/tex]

Therefore:

[tex]r(t)=<0,0,0>+t<-1,-7,-6>\\=<-t,-7t,-6t>\\$Therefore, the function for the line passing through P and Q is:$\\r(t)=-ti-7tj-6tk[/tex]

The belief is that the mean number of hours per week of part-time work of high school seniors in a city is 10.5 hours. Data from a simple random sample of 23 high school seniors indicated that their mean number of part-time work was 11.5 with a standard deviation of 1.4. Test whether these data cast doubt on the current belief. (use α = 0.05)

Required:
a. State your null and alternative hypotheses.
b. Sketch the rejection region.
c. Calculate the test statistic. Plot this value in your sketch in part b.
d. Determine the P-value for your test.
e. State your conclusions clearly in complete sentences.

Answers

Answer:

a) See step by step explanation

b) See annex

c) t(s) = 3,4255

d) p- value  = 0,00146   or   0,15 %

e) See step by step explanation

Step-by-step explanation:

As n < 30 we use a t-student distribution

Population mean  μ₀ = 10,5

Sample size   n = 23

Degree of freedom      n - 1   =  22

Sample mean    μ  =  11,5

Sample standard deviation   s = 1,4

Confidence Interval  95 %

a) Null Hypothesis                     H₀             μ  =   μ₀

   Alternative Hypothesis         Hₐ              μ  >  μ₀

As CI  = 95 %      α = 5%    or   α = 0,05

We are solving a one tail-test  

With  df  =  22   and     α  = 0,05 in t-table we find t(c) = 1,7171

c)  t(s)  =  (   μ  -  μ₀ ) / s / √n

    t(s)  = ( 11,5 - 10,5 ) / 1,4 / √23

    t(s)  =   1 * 4,7958 / 1,4

    t(s)  =  3,4255

We compare t(s)  and t(c)

t(s) > t(c)   and t(s) is in the rejection region

Then we reject the null hypothesis.

d) P-value for    t(s) = 3,4255  is from t-table   equal to:

We find        for  df = 22    α = 0,001    and   α = 0,005

values of t                            

t                  3,505              2, 819           Δt   =  0,686

α                  0,001               0,005           Δα  =  0,004

with these values we interpolate by rule of three

0,686                          ⇒   0,004

(3,505 - 3,4255)       ⇒       x

x = 0,000463

and  P-value  =  0,00146    or  0,15 %

e) The p-value indicates  we are far away to consider the accptance of H₀

Consider a rat going through a maze, and each time the rat begins the maze he has 30% chance of finishing successfully. The rat goes through the maze over and over again until he is successful in finishing the maze. Whether or not the rat finishes the maze on one trial has no impact on his chance of finishing the maze on the next trial.
What is the probability that the rat fails the maze 6 times in a row, and then succeeds on his 7th attempt? Round your answer to two decimal places.

Answers

Answer:

3.53% probability that the rat fails the maze 6 times in a row, and then succeeds on his 7th attempt

Step-by-step explanation:

For each time that the rat goes through the maze, there are only two possible outcomes. Either he fails it, or he succeds. The trials are independent. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

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

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

And p is the probability of X happening.

What is the probability that the rat fails the maze 6 times in a row, and then succeeds on his 7th attempt?

Missing on the first six, each with 70% probability(P(X = 6) when p = 0.7, n = 6).

Succeeding on the 7th attempt, with p = 0.3. So

[tex]P = 0.3P(X = 6)[/tex]

In which

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

[tex]P(X = 6) = C_{6,6}.(0.7)^{6}.(0.3)^{0} = 0.117649[/tex]

[tex]P = 0.3P(X = 6) = 0.3*0.117649 = 0.0353[/tex]

3.53% probability that the rat fails the maze 6 times in a row, and then succeeds on his 7th attempt

Answer:

3.53% probability that the rat fails the maze 6 times in a row, and then succeeds on his 7th attempt

Step-by-step explanation:

For each time that the rat goes through the maze, there are only two possible outcomes. Either he fails it, or he succeds. The trials are independent. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which  is the number of different combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.

What is the probability that the rat fails the maze 6 times in a row, and then succeeds on his 7th attempt?

Missing on the first six, each with 70% probability(P(X = 6) when p = 0.7, n = 6).

Succeeding on the 7th attempt, with p = 0.3. So

In which

3.53% probability that the rat fails the maze 6 times in a row, and then succeeds on his 7th attempt

Given that is both the median and altitude of triangle ABC, congruence postulate SAS is used to prove that triangle ABC is what type of triangle?

Answers

Answer:

triangle ΔABC is an isosceles triangle.

Step-by-step explanation:

Given  : Given that is both the median and altitude of triangle ABC.

To find : congruence postulate SAS is used to prove that triangle ABC is what type of triangle.

Solution : We have given that both the median and altitude of triangle ABC.

Let AD represent both the median and altitude of triangle  ABC.

A median divides the side in two equal parts.

So , BD=BC.

An altitude is a perpendicular drawn .

A perpendicular makes an angle of 90°.

Hence <ADB = <ADC = 90°

AD is the side common to both the triangles ADB and ADC.

Hence,     Δ ADB≅ΔADC  (SAS congruence postulate).

So AB=AC by c.p .c .t.c(congruent parts of congruent triangles are congruent)

Hence by definition of Isosceles triangle ΔABC is an isosceles triangle.

Therefore, triangle ΔABC is an isosceles triangle.

The following frequency table summarizes a set of data.

Value Frequency
2 3
3 2
5 1
6 3
7 1
8 2
11 3

For the above data set, you are interested to determine the "spread" of the data.

Would you employ calculations for the sample standard deviation, or population standard deviation for this data set?
You are interested in the heights of students at a particular middle school. Your data set represents the heights of all students in the middle school with 600 students.

Select the correct answer below:

a. Use calculations for sample standard deviation.
b. Use calculations for population standard deviation.

Answers

Answer:

Part A

The population standard deviation is suitable for this dataset as it isnt given whether its a sample or a population distribution and it sure doesn't seem like the findings from such a dataset is to be generalized for some population distribution.

Part B

This is outrightly a population distribution of all the students in the middle school, So, the spread of the height of all students about a mean is best indicated using the population standard deviation.

Step-by-step explanation:

The spread of a dataset is usually the measure of dispersion, a measure of the way the distribution spreads out from a particular mean value.

The problem of which type of standard deviation one should calculate usually arises a lot in Statistics. As the name sounds, population standard deviation usually uses all of the distribution to compute while the sample standard deviation uses the data from the sample distribution

The best advice on when to use the population stamdard deviation formula is that

(1) we have the entire population or

(2) we have a sample of a larger population, but we are only interested in this sample and do not wish to generalize the statistical findings to the population.

The sample standard deviation formula is used when one has a sample of a larger population, one is not only interested in this sample and one wishes to generalize the findings to the population.

The population standard deviation is given as

σ = √[Σ(x - xbar)²/N]

Sample standard deviation

σ = √{[Σ(x - xbar)²]/N-1)}

The only difference is the N and (N-1).

So, for the questions presented,

Part A.

Here, it is evident that the findings for this dataset in the question is just for this dataset, hence,the population standard deviation is suitable for this dataset.

Part B

This is outrightly a population distribution of all the students in the middle school, So, the spread of the height of all students about a mean is best indicated using the population standard deviation.

Hope this Helps!!!

The graphed line shown below is y = 5 x minus 10. On a coordinate plane, a line goes through (2, 0) and (3, 5). Which equation, when graphed with the given equation, will form a system that has no solution? y = negative 5 x + 10 y = 5 (x + 2) y = 5 (x minus 2) y = negative 5 x minus 10

Answers

Answer:

  y = 5 (x + 2)

Step-by-step explanation:

Equations with a different x-coefficient will graph as lines that intersect the given one, so will form a system with one solution.

The equation with the same slope and y-intercept (y = 5(x -2)) will graph as the same line, so will form a system with infinite solutions.

The line with the same slope and a different y-intercept will form a system with no solutions:

  y = 5 (x + 2)

Answer:

B

Step-by-step explanation:

got it on edge

Translate the following into algebraic expressions: The first class has a kids in it, the second has b kids in it, and the third class has c kids in it. The kids from all three classes are divided equally between two buses. How many kids are in each bus?

Answers

Answer:

(a + b + c)/2

Step-by-step explanation:

Number of kids in first class: a

Number of kids in second class: b

Number of kids in third class: c

The total number of kids in all classes is: a + b + c

The total number of kids is divided equally between 2 buses:

(a + b + c)/2

Answer:

(a + b + c)/2

Step-by-step explanation:

;)

Each of two vectors, and , lies along a coordinate axis in the xy plane. Each vector has its tail at the origin, and the dot product of the two vectors is . Which possibility is correct?

Answers

Answer:

A lies along the positive x-axis and B lies along negative x - axis .

Step-by-step explanation:

They tell us that we have two vectors, A and B. And they give us a series of conditions for this, now, what would be the correct possibility.

A lies along the positive x-axis and B lies along negative x - axis .

This is because when both vectors will be in x axis but opposite to each other, then the angle between them will be 180 ° and cos180 ° is -1.

Help with finding the lettered angles please!

Answers

Answer:

i = 77.5°

k = 77.5°

j = 102.5°

h = 155°

Step-by-step explanation:

Since we have an isosceles triangle, we know that ∠i and ∠k are equal. So,

180 - 25 = 2x

155 = 2x

x = 77.5

So m∠i = m∠k = 77.5°

To find m∠j, we use Supplementary Angles:

180 - 77.5 = 102.5°

To find m∠h, we also use Supplementary Angles:

180 - 25 = 155°

You would like to have extra spending money, so you decided to work part-time at the local gym. The job pays $15.00 per hour and you work 20 hours per week. Your employer withholds 10% of your gross pay for federal taxes, 7.65% for FICA taxes, and 3% for state taxes.

Required:
a. What is your weekly gross pay?
b. How much is withheld per week for federal taxes?
c. How much is withheld per week for FICA taxes?
d. How much is withheld per week for state taxes?
e. What is your weekly net pay?
f. What percentage of your gross pay is withheld for taxes? Round to the nearest tenth of a percent.

Answers

Answer:

a. Weekly gross pay = $300

b. Federal taxes, F = $30

c. Fica taxes, K = 22.95

d. State taxes, S = $9

e. Weekly net pay =  238.05

Step-by-step explanation:

Gross pay, G = 15 $/h * 20 h = 300 / week

Fed taxes, F = 10%*G = $30

FICA, K = 7.65%*G = $22.95

State taxes, S = 3%*G = $9

a. Weekly gross pay = $300

b. Federal taxes, F = $30

c. Fica taxes, K = 22.95

d. State taxes, S = $9

e. Weekly net pay = 300 - (30+22.95+9) = 300 - 55.95 = 238.05

earning a 6% pay increase to current $62,900 annual salary

Answers

Answer:

Step-by-step explanation:

I assume you are asking for the new salary.

To find 1%, divide 62900 by 100.

629

Multiply this by 3.

1887

Add this to the original answer.

64787

Find the slope of the line. m =

Answers

Answer: m=4

Step-by-step explanation:

To find the slope, we use the formula [tex]m=\frac{y_{2} -y_{1} }{x_{2}-x_{1} }[/tex]. We can use the two points to find the slope. The points on the graph are (-2,1) and (-3,-3).

[tex]m=\frac{-3-1}{-3-(-2)} =\frac{-4}{-1} =4[/tex]

The volume of a gas in a container varies inversely with the pressure on the gas. A container of helium has a volume of 370in3 under a pressure of 15psi (pounds per square inch). Write the equation that relates the volume, V, to the pressure, P. What would be the volume of this gas if the pressure was increased to 25psi?

Answers

Answer:

Step-by-step explanation:

When two variables vary inversely, it means that an increase in one would lead to a decrease in the other and vice versa. Since the volume of a gas, V in a container varies inversely with the pressure on the gas, P, if we introduce a constant of proportionality, k, the expression would be

V = k/P

If V = 370 in³ and P = 15psi, then

370 = k/15

k = 370 × 15 = 5550

The equation that relates the volume, V, to the pressure, P would be

V = 5550/P

if the pressure was increased to 25psi, the volume would be

V = 5550/25 = 222 in³

Answer:

v=5550/p

222

Step-by-step explanation:

Ujalakhan01! Please help me! ASAP ONLY UJALAKHAN01. What's (x-1)(x-1)?

Answers

Answer:

[tex]x^2-2x+1[/tex]

Step-by-step explanation:

=> (x-1)(x-1)

Using FOIL

=> [tex]x^2-x-x+1[/tex]

=> [tex]x^2-2x+1[/tex]

Answer:

Step-by-step explanation:

simply :

(x-1)(x-1)= (x-1)²

                     = x²-2x=1

                     

A = P(1 + nr) for r​

Answers

Answer:

r = (An−nP)/P

Step-by-step explanation:

A = P(1 + nr)

Divide P on both sides.

A/P = 1 + nr

Subtract 1 on both sides.

A/P - 1 = nr

Divide n on both sides.

A/P/n - 1/n = r

(An−nP)/P = r

The answer is, r = (An−nP)/P

What is equation?

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.

here, we have,

given that,

A = P(1 + nr)

Divide P on both sides.

A/P = 1 + nr

Subtract 1 on both sides.

A/P - 1 = nr

Divide n on both sides.

A/P/n - 1/n = r

(An−nP)/P = r

hence, answer is (An−nP)/P = r.

To learn more on equation click:

brainly.com/question/24169758

#SPJ2

Element X decays radioactively with a half life of 11 minutes. If there are 670 grams of Element X, how long, to the nearest tenth of a minute, would it take the element to decay to 26 grams?

Answers

The element X will take 22.10 minutes to decay to 26 grams.

What is radioactive radiation?

The radioactive radiations are the radiations that an atom nucleus releases.

What is an arithmetic progression?

It is a sequence of numbers which have common difference.

How to find the time?

The decaying acts like an arithmetic progression in which a=670,d=-30.45 (per minute decaying) and n we have to find with the an value of 26 gram.

So, the formula of nth term of an arithmetic progression is

nth term=a+(n-1)d

26=670+(n-1)*(-30.45)

-644=-30.45n+30.45

-674.45=-30.45n

n=22.10 (after rounding off)

Hence the element X would take 22.10 minutes to decay to 26 grams.

Learn more about arithmetic progression at https://brainly.com/question/6561461

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Answer:

y=a(.5)^{\frac{t}{h}}

y=a(.5)

h

t

y=30 \hspace{15px} a=670 \hspace{15px} h=11 \hspace{15px} t=?

y=30a=670h=11t=?

30=670(.5)^{\frac{t}{11}}

30=670(.5)

11

t

\frac{30}{670}=\frac{670(.5)^{\frac{t}{11}}}{670}

670

30

=

670

670(.5)

11

t

0.0447761=(.5)^{\frac{t}{11}}

0.0447761=(.5)

11

t

\log(0.0447761)=\log((.5)^{\frac{t}{11}})

log(0.0447761)=log((.5)

11

t

)

\log(0.0447761)=\frac{t}{11}\log(.5)

log(0.0447761)=

11

t

log(.5)

Power Rule.

11\log(0.0447761)=t\log(.5)

11log(0.0447761)=tlog(.5)

Multiply by 11.

\frac{11\log(0.0447761)}{\log(.5)}=\frac{t\log(.5)}{\log(.5)}

log(.5)

11log(0.0447761)

=

log(.5)

tlog(.5)

Divide by log(.5).

t=\frac{-14.838489}{-0.30103}

t=

−0.30103

−14.838489

t=49.29239\approx 49.3 \text{ minutes}

t=49.29239≈49.3 minutes

Step-by-step explanation:

Melissa sold 18 raffle tickets for the school fundraiser. Jonah sold half as many tickets as Melissa. Shona sold 1.5 times as many tickets as Melissa. If each ticket cost $6, how much money did the students raise?​

Answers

Answer:

Total money raised by the students = $324

Step-by-step explanation:

Raffle tickets sold by Melissa = 18

'Jonah sold half as many tickets as Melissa'

Jonah sold the raffle tickets = [tex]\frac{1}{2}\times 18=9[/tex]

'Shona sold 1.5 times as many as Melissa'

Tickets sold by Shona = 1.5 × 18 = 27

Total number of raffle tickets sold by all of them = 18 + 9 +27 = 54

Since, each ticket cost = $6

Therefore, total money raised by the students = Total number of tickets sold × Cost of each ticket

= 54 × 6

= $324

Please answer this correctly

Answers

Answer:

1/2

Step-by-step explanation:

The numbers that are odd on the spinner are 1, 3, and 5.

3 numbers out of 6.

3/6 = 1/2

P(odd)= 1/2

16.
Entrepreneurs are:
A. Moderate risk taker
B. High risk taker
C. Avoidance
D. Both B and C​

Answers

Answer:

D

Step-by-step explanation:

THEY AVOID STUFF THAT HURTS THEIR BUISSNESS AND THEY HAVE TO TAKE RISKS THAT CAN LEAVE THEM BROKE

A local chess club claims that the length of time to play a game has a standard deviation of more than 13 minutes. Write sentences describing type I and type II errors for a hypothesis test of this claim.

Answers

Answer:

Step-by-step explanation:

A type I error occurs when the researcher rejects the null hypothesis when it is actually true.

A type II error occurs when the research fails to reject the null hypothesis when it is not true.

In this case study,

The null hypothesis is the standard deviation is less that or equal to 13min.

The alternative hypothesis would be that the standard deviation is greater than 13mins.

A type I error would occur when having done an experiment, the researcher rejects the null hypothesis when there is enough evidence that it is actually either less or equal to 13mins

A type II error would occur when the researcher fails to reject the null hypothesis when there is enough evidence that it is actually more than 13mins.

a cat went from a to b a distance of 20 kilometres in one 1/2 hours but return in one hour calculate the average speed for the whole journey​

Answers

Answer: 16 kph

Step-by-step explanation:

Average Speed = Total Distance/ Total Time

Distance = Speed x Time

The Distance between A and B is 20 kph

Time(A-B) = 1.5 hrs

Time(B-A) = 1 hour

Total Time = 2.5 hrs

Total Distance = 20 + 20 = 40 km

Average Speed = 40 km / 2.5 hrs = 16 kmph

A multiple of 6 is a number that has 6 as a factor. What is the sum of the two smallest multiples of 6 that are greater than 103?

Answers

Answer:

108 and 114

Step-by-step explanation:

Answer:

222

Step-by-step explanation:

We want the first two multiple of 6 that are greater than 103

103/6 =17 1/6

Rounding up

6*18 =108

The next  multiple will be 6* 19

6*19 =114

The sum is 108+114 =222

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