22. The mean of 15 observations is 32. Find the resulting mean, if each observation is: (i) increased by 3 (ii) decreased by(v) increased by 60 percent

Answers

Answer 1

Answer:

35 ;

32 + v

51.2

Step-by-step explanation:

If each observations in a particular set is increased or decreased by a uniform or fixed number, the mean of the resulting output will also increase by the same amount

Hence,

For 15 observations whose mean is 32

If each observation is increased by 3, then the resulting mean will also increase by 3 ; hence, new mean = 32 + 3 = 35

If each observation is decreased by v ; the resulting mean would also decrease by v ;

32 - v

If each observation is increased by 60% ; the resulting mean will be ;

(1 + 60%) * initial mean

(1 + 0.6) * 32

1.6 * 32 = 51.2


Related Questions

I need help please guys thank you

Answers

Answer:

Option A, the parent function has been translated up

Option B, the parent function has been compressed

Option C, the parent function has been translated to the right

If a < 0 and b > 0, then which of the following is true?
Select one:
a. a + b > 0
b. a + b < 0
c.
a + b = 0
d.
The relationship between a and b cannot be determined.

Answers

Answer:

d. The relationship between a and b cannot be determined.

Step-by-step explanation:

Given

[tex]a < 0[/tex]

[tex]b > 0[/tex]

Required

Which is true

To do this, we test each of the options using assumed values

[tex]a + b > 0[/tex]

Let:

[tex]a = -5[/tex]       [tex]b= 1[/tex]

So:

[tex]-5 + 1 > 0[/tex]

[tex]-4 > 0[/tex] --- false

[tex]a + b < 0[/tex]

Let:

[tex]a = -5[/tex]       [tex]b= 7[/tex]

So:

[tex]-5 + 7 < 0[/tex]

[tex]2 < 0[/tex] --- false

[tex]a + b = 0[/tex]

Let:

[tex]a = -5[/tex]       [tex]b= 7[/tex]

So:

[tex]-5 + 7 = 0[/tex]

[tex]2 = 0[/tex] --- false

Hence, the relationship is not specific and cannot be determined

please help me with geometry

Answers

Answer:

How to improve my geometry?

Part 1 of 3: Getting the Grade

Attend every class. Class is a time to learn new things and solidify the information that you may have learned in the previous class.

Draw diagrams. Geometry is the math of shapes and angles. ...

Form a study group. ...

Know how to use a protractor. ...

Do all of the assigned homework. ...

Teach the material. ...

Do lots of practice problems. ...

Seek extra help. ...

Step-by-step explanation:

Jessica works 5 days a week at a factory 7.5 miles from her home.
She travels to and from work in her car which has a fuel consumption of 30 miles per gallon.
Fuel costs £1.14 per litre and there are 4.55 litres in a gallon.
It costs £2.50 to park her car each day.
Rounded to the nearest £1, how much does it cost Jessica to travel to work in her car for a week?

Answers

Answer:

£25

Step-by-step explanation:

total distance travelled per week = 2 * 7.5 * 5 = 75

amount of fuel used = 75/30 = 2.5 gallons = 11.375 litre

cost of fuel = 11.375 * 1.14 = 12.9675

total cost = 5(2.5) + 12.9675 = 25.4675 ~~ 25

Find the simple interest. The rate is an annual rate unless otherwise noted. Assume 365 days in a year and 30 days per month Round to the nearest cent $600 at 3% for 1 year​

Answers

9514 1404 393

Answer:

  $18

Step-by-step explanation:

The interest is computed using the formula ...

  I = Prt

where P is the principal, r is the annual rate, and t is the number of years. The interest is ...

  I = $600×0.03×1 = $18

number
5. Thesum of a two-digit number a
(CBSE 2002]
Find the numbers.
If the two digits differ by 2, find the number. I
6. The sum of two numbers is 1000 and the difference between their squares is 256000.
7. The sum of a two digit number and the number obtained by reversing the order of its
digits is 99. If the digits differ by 3, find the number.
8. A two-digit number is 4 times the sum of its digits. If 18 is added to the number, the digits
are reversed. Find the number.
(CBSE 2001C]
[CBSE 2001C]
9. A two-digit number is 3 more than 4 times the sum of its digits. If 18 is added to the
(CBSE 2001C]
number, the digits are reversed. Find the number.
10. A two-digit number is 4 more than 6 times the sum of its digits. If 18 is subtracted from
the number, the digits are reversed. Find the number.
11. A two-digit number is 4 times the sum of its digits and twice the product of the digits.
[CBSE 2005]
Find the number.
[CBSE 2005]
12. A two-digit number is such that the product of its digits is 20. If 9 is added to the number,
the digits interchange their places. Find the number.
13. The difference between two numbers is 26 and one number is three times the other. Find
them.
14. The sum of the digits of a two-digit number is 9. Also, nine times this number is twice the​

Answers

Answer:

Let the numbers are x and y

According to the question

⇒x+y=1000.....eq1⇒x 2 −y 2

=256000∵x 2 −y 2

=(x+y)(x−y)

⇒1000∗(x−y)=256000

⇒x−y=256.....eq2

Adding eq1 and eq2

⇒2x=1256⇒x=628

Put the value of x in eq1

⇒628+y=1000⇒y=372

The numbers are 628 and 372

Hi I'm From PHILIPPINES

I'm here to help USA users like you

find the equation of straight line passes through a point (0 ,- 3 )which makes an angle tan^-1(1/3) with the line 3x- 2Y + 13 =0​

Answers

Answer:

Step-by-step explanation:

Edit:

y = (7/9)x = 3

9514 1404 393

Answer:

  y = 11/3x -3

Step-by-step explanation:

The slope of a line is the tangent of the angle it makes with the x-axis. The slope of the given line is 3/2, so the angle it makes with the x-axis is arctan(3/2) ≈ 56.310°. We want a line that makes an angle of arctan(1/3) ≈ 18.435° with the given line, so its slope will be ...

  tan(56.310° +18.435°) = tan(74.745°) = 11/3

The y-intercept of the desired line is given as (0, -3), so the equation of the line we want is ...

  y = 11/3x -3

_____

Additional comment

The desired slope can be found using the formula for the tangent of the sum of angles. However, simply adding the angles on a calculator saves a lot of arithmetic. (Full precision values must be used.)

The line we have found is at the desired angle measured CCW from the point of intersection with the given line. If you allow the line to have that angle measured CW from the point of intersection, then the slope will be 7/9, and the equation will be ...

  y = 7/9x -3

The profits for video game companies depend on what game platform the game runs on, which can either be a portible system with a built in screen, or a standard system that you have to hook up to a television. The profit off of a portible game system is $72, while the profit from a standard game system is $90. The store manager has to make at least $360 per day in order to keep the store open. Which graph represents this inequality? Write the inequality that represents the number of games that must be sold everyday to meet or beat the sales goal.

Answers

Step-by-step explanation:

One week Leslie earned a total of $425. of that amount $300 was tips
if she worked a 40-hour week, what was the hourly rate she received?
a. $1.88
b. $3.13
c. $8
d. $10.63

Answers

Answer:

Step-by-step explanation:

$425-$300 = $125

$125/(40 hr) = $3.125/hr ≈ $3.13/hr

Give the domain and range.
x –2 0 2 y –1 0 1
a. domain: {2, 0, 2}, range: {1, 0, 1} b. domain: {–2, 0, 2}, range: {–1, 0, 1} c. domain: {–1, 0, 1}, range: {–2, 0, 2} d. domain: {1, 0, 1}, range: {2, 0, 2}

Answers

Answer:

B. domain {-2, 0, 2}, range {-1, 0, 1}

Step-by-step explanation:

The x values and y values as ordered pairs would be: (-2,-1), (0,0), (2,1)

The domain is the all of the values of x and the range is all the values of y.

Find perimeter of square with its each side a cm.​

Answers

Answer:

4cm

Step-by-step explanation:

Each side of the square = 1cm

Perimeter of a square = 4xside

= 4x1 = 4

Answer From Gauth Math

Solve for the length of the unknown side in the following right triangle. (Side AC is the hypotenuse.)
Round your answer to two places, where applicable.
Side AB 3 Side BC 4 Side AC ?

Answers

Answer:

side AC is 5

Step-by-step explanation:

by using th pythagorean theorm you would square both sides add them together and the square root the sum to get you answer.

AB =3 BC=4

9+16=25

25 square root is 5

makeing AC=5

A heating pad takes 8,827 Watts during each time it is turned on. If you only use it for 43 minutes, how much CO2 was created? Round to 1 decimal.​

Answers

Answer:

6.3 Kwhr

Step-by-step explanation:

Given :

Power = 8827 watts

Time in minutes = 43 minutes

To obtain the amount of CO2 that was created :, which is the energy :

Recall

Energy = power * time

Energy in kw/hr = (8827/100) * (43/60)

Energy = 8.827 * 0.7166666

Energy = 6.326 Kwhr

Solve this inequality: 14 <-7x

Answers

Answer:

-2 > x

Step-by-step explanation:

14 <-7x

Divide each side by -7, remembering to flip the inequality

14/ -7 > -7x/-7

-2 > x

WORTH 30 POINTS PLEASE HELP!!!!! WILL GIVE POINTS

Answers

Answer:

2/3 and 4/6

Step-by-step explanation:

2/3 and 4/6.

This is because if we take 2/3 and multiply each number by 2, we get 4/6. Therefore, they are equal.

15% of 80 is 60% of what number? There were no answer choices please help!

Answers

Answer:

80

Step-by-step explanation:

15 percent of 80 is 12

and 12 is 60 percent of 80!

hope this helps :)

Solve the following system of equations for x to the nearest hundredth : y + 2x + 1 = 0; 4y - 4x ^ 2 - 12x = - 7

Answers

Answer:

+3.464; -3.464

Step-by-step explanation:

call A = y + 2x + 1 = 0 => y = (1 - 2x)

call B: 4y - 4(x^2) - 12x = -7

=> replace y from A to B =>

4(1 - 2x) - 4(x^2) - 12x = -74 - 8x - 4(x ^ 2) - 12x = -7-8x - 4(x ^ 2) - 12x = -7 - 4 = -11-4(x^2) - (8x - 12x) = -11-4(x^2) + 4x = -11-4(x^2) + 4x + 11 = 0

=> get delta Δ = (-4^2) - 4*(-4 * 11) = 192

=> Δ > 0 => got 2 No

=> x1 = [tex]\frac{-4 + \sqrt{192} }{2 * -4}[/tex] = [tex]\frac{1 - 2\sqrt{3} }{2}[/tex] = -1.232

=> x2 = [tex]\frac{-4 - \sqrt{192} }{2 * -4}[/tex]=[tex]\frac{1 + 2\sqrt{3} }{2}[/tex]= 2.232

=> replace x from B into A

=> y1 = (1 - 2x) = (1 - 2 * -1.232) = 3.464

=> y2 = (1 - 2x) = (1 - 2 * 2.232) = - 3.464

what should be the rate of simpe interest such that the interest is double of the sun at 10 years​

Answers

Answer:

you never showed the chocies

Step-by-step explanation:

Find the cash value of the lottery jackpot (to the nearest dollar). Yearly jackpot payments begin immediately (26 for Mega Millions and 30 for Powerball). Assume the lottery can invest at the given interest rate. Powerball: $360 million; 5.4% interest
a. $188,347,953
b. $282,573,702
c. $185,870,742
d. $298,386,685

Answers

Answer:

The right response is Option c ($185,870,742).

Step-by-step explanation:

Given:

n = 30

r = 5.4%

or,

 = 0.054

Periodic payment will be:

[tex]R = \frac{360000000}{30}[/tex]

   [tex]=12000000[/tex] ($)

Now,

The present value will be:

= [tex]R+R(\frac{1-(1+r)^{-n+1}}{r} )[/tex]

By substituting the values, we get

= [tex]12000000+12000000(\frac{1-(1+0.054)^{-30 + 1}}{0.054} )[/tex]

= [tex]12000000+12000000\times 14.4892[/tex]

= [tex]185,870,742[/tex] ($)

if x=2 and y=3. What is x*y/xy+x*y​

Answers

Answer

its uhhhhh i dont know

Step-by-step explanation:

The weight (in pounds) and height (in inches) for a child were measured every few months over a two-year period. The measurements are given in the table.


Using technology, what is the equation for the least-squares regression line?

y= –34.13 1.98x

y = 1.98 – 34.13x

y = 17.37 0.50x

y = 0.50 17.37x

I think it's (C) y = 17.37 0.50x --> 100%

Answers

Answer:

The answer is (C)

17.37 + .50x

ED2021

Find the numerical value of the area under the normal curve given the following information:

to the right of z = 2.28

enter your answer as a decimal (NOT percentage) and lead with a zero...for example: 0.1234

Answers

Answer:

1 - 0.9887 = 0.0113

Step-by-step explanation:

What are Julie’s taxable wages as a data-entry operator if her withholding allowances total $1,500 and her annual gross pay is $24,500?

Answers

Julie's Taxable Wages:

Julie's taxable wages as a data-entry operator is:

= $23,000.

Data and Calculations:

a) Annual gross pay =           $24,500

Total withholding allowances = 1,500

Taxable wages (income) =  $23,000 ($24,500 - $1,500)

b) Julie's total withholding allowance of $1,500 is the total exemption that reduces how much income tax her employer can deduct from  Julie's paycheck.  This means that $1,500 will be deducted from $24,500, the gross pay, before arriving at her taxable income.

Thus, Julie's taxable wages represent the difference between her annual gross pay and her total withholding allowances.

Learn more about taxable income here: https://brainly.com/question/8653999

Are the ratios 6:3 and 2:1 equivalent?

Answers

yes because 2 x 3 is 6 and 1 x 3
is 3 so it would be equivalent

Drug dosage is frequently based on a patient's weight. For example, 170 milligrams of a certain drug should be administered daily
for every 20 pounds of a patient's weight. Use this information to complete parts

a. What is the daily dosage for a woman who weighs 110 pounds?

Answers

Answer: 850.5 milligrams

Step-by-step explanation:

[tex]20*5= 850+.5=850.5[/tex]

That will be your answer please give me brainliest if you can!!!

The BBQ club meets every Thursday. The meetings last 2 1/2 hours. There were 5 Thursdays in
September. How many hours did the BBQ club meet in September?


A.2 1/2 hours
B.5 hours
C.12 1/2 hours
D.10 hours

Answers

Answer:

12 1/2

Step-by-step explanation:

2 x 5 = 10

1/2 x 5 = 2 1/2

10 + 2 1/2 = 12 1/2

f(10)
calculate the indicated function value

Answers

It is 20 my guy ……………….

At the Olympic games, many events have several rounds of competition. One of these events is the men's 100100100-meter backstroke. The upper dot plot shows the times (in seconds) of the top 888 finishers in the semifinal round at the 201220122012 Olympics. The lower dot plot shows the times of the same 888 swimmers in the final round. A dot plot is divided into 2 parts labeled, Semifinal Round and Final Round. The horizontal axis is labeled, Time, in seconds, from 52 to 54, in increments of 0.10 second. The portion of the dot plot dedicated to Final Round has dots above the following points; 52.2, 52.3, 52.8, 53.1, 53.2, 53.3, 53.5, and 53.8. The portion of the dot plot dedicated to Semifinal Round has dots above the following points; 52.7, 53, 53.3, 53.3, 53.5, 53.5, 53.5, and 53.7. Which pieces of information can be gathered from these dot plots? (Remember that lower swim times are faster.)

Answers

Answer: None of the above.

Step-by-step explanation:

I got it right on khan. I’ll explain a little though. Semifinals median=47.05. Finals median=53.05.  Therefore A is not and option and B is DEFINITLEY not an option. Sorry I’m not good at explaining

Answer:

None of the above

Step-by-step explanation:

Got it right on test

if 405 is to be divided among three persons A, B, C in the ratio of 3:5:7, how much money does each one get? Express them in percentages.​

Answers

Step-by-step explanation:

Pls Mark me

Brainliest!!!!

During a test period, an experimental group of 10 vehicles using an 85 percent ethanol-gasoline mixture showed mean CO2 emissions of 667 pounds per 1000 miles, with a standard deviation of 20 pounds. A control group of 14 vehicles using regular gasoline showed mean CO2 emissions of 679 pounds per 1000 miles with a standard deviation of 15 pounds. At α = 0.05, in a left-tailed test (assuming equal variances) the test statistic is:______.
A. 1.321.
B. -2.508.
C. -2.074.
D. -1.717.

Answers

Answer:

-1.683

Step-by-step explanation:

Given :

Group 1 :

x1 = 667 ; n1 = 10 ; s1 = 20

Group 2 :

x2 = 679 ; n2 = 14 ; s2 = 15

The test statistic assuming equal variance :

x1 - x2 / √[Sp² * (1/n1 + 1/n2)]

sp² = [(n1 - 1)*s1² + (n2 - 1)*s2²] ÷ (n1 + n2 - 2)

Sp² = [(10 - 1)*20² + (14 - 1)*15²] = 296.59

Test statistic =

(667 - 679)/ √[296.59 * (1/10 + 1/14)]

-12 / 7.1304978

Test statistic = - 1.682

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