1.994 x 10^-23 1.67 x 10^-24 what are the difference

Answers

Answer 1
Answer:

Answer:

1.827 x 10^-23

Step-by-step explanation:

(1.994 x 10^-23) - (1.67 x 10^-24) = 1.827 x 10^-23



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Consider three boxes with numbered balls in them. Box A con- tains six balls numbered 1, . . . , 6. Box B contains twelve balls numbered 1, . . . , 12. Finally, box C contains four balls numbered 1, . . . , 4. One ball is selected from each urn uniformly at random. (a) What is the probability that the ball chosen from box A is labeled 1 if exactly two balls numbered 1 were selected(b) What is the probability that the ball chosen from box B is 12 if the arithmetic mean of the three balls selected is exactly 7?

Find the quotient and remainder using long division.x + x - 13
x - 2
The quotient is
The remainder is

Answers

Answer:

\text{The quotient is}~ x^2 +2x +5 \n\n\text{The remainder is}~ -3

Step-by-step explanation:

7th grade math help me plzzzz

Answers

Answer:  y = 3x

Step-by-step explanation:  Proportional means that the  y-value will always be  three times the x-value--

Or whatever the coefficient of x is in this type of equation.

Allied Corporation is trying to sell its new machines to Ajax. Allied claims that the machine will pay for itself since the time it takes to produce the product using the new machine is significantly less than the production time using the old machine. To test the claim, independent random samples were taken from both machines. You are given the following results.New Machine Old Machine
Sample Mean 25 23
Sample Variance 27 7.56
Sample Size 45 36
As the statistical advisor to Ajax, would you recommend purchasing Allied's machine? Explain.

Answers

Answer:

z(s) is in the acceptance region. We accept H₀  we did not find a significantly difference in the performance of the two machines therefore we suggest not to buy a new machine

Step-by-step explanation:

We must evaluate the differences of the means of the two machines, to do so, we will assume a CI  of 95%, and as the interest is to find out if the new machine has better performance ( machine has a bigger efficiency or the new machine produces more units per unit of time than the old one) the test will be a one tail-test (to the left).

New machine

Sample mean                  x₁ =    25

Sample variance               s₁  = 27

Sample size                       n₁  = 45

Old machine

Sample mean                    x₂ =  23  

Sample variance               s₂  = 7,56

Sample size                       n₂  = 36

Test Hypothesis:

Null hypothesis                         H₀             x₂  -  x₁  = d = 0

Alternative hypothesis             Hₐ            x₂  -  x₁  <  0

CI = 90 %  ⇒  α =  10 %     α = 0,1      z(c) = - 1,28

To calculate z(s)

z(s)  =  ( x₂  -  x₁ ) / √s₁² / n₁  +  s₂² / n₂

s₁  = 27     ⇒    s₁²  =  729

n₁  = 45    ⇒   s₁² / n₁    = 16,2

s₂  = 7,56   ⇒    s₂²  = 57,15

n₂  = 36     ⇒    s₂² / n₂  =  1,5876

√s₁² / n₁  +  s₂² / n₂  =  √ 16,2  + 1.5876    = 4,2175

z(s) = (23 - 25 )/4,2175

z(s)  =  - 0,4742

Comparing z(s) and  z(c)

|z(s)| < | z(c)|  

z(s) is in the acceptance region. We accept H₀  we did not find a significantly difference in the performance of the two machines therefore we suggest not to buy a new machine

The very hight dispersion of values s₁ = 27 is evidence of frecuent values quite far from the mean

European car company advertises that theircar gers 9.4 Kilometers per liter of gasoline. Convert
this figure to miles per galllon

Answers

Answer:

22.11 miles per gallon

Step-by-step explanation:

1 km = 0.621371 miles

1 litre = 0. 264172 gallon

Given

Mileage of car =  9.4 Milometers per liter of gasoline

Mileage of car = 9.4 Km/ litres

now we will use 0.621371 miles for Km and 0. 264172 gallon for litres

Mileage of car = 9.4 * 0.621371 miles/ 0. 264172 gallon

Mileage of car = 9.4 * 2.3521 miles/ gallon

Mileage of car = 22.11  miles/ gallon

Thus, 9.4 Km/litres is same as 22.11 miles per gallon.

What the volume of the figure

Answers

Answer:

1,530

Step-by-step explanation:

box 1 (left one): 10*9*9=810

box 2 (right one): 18*4*10=720

720+810=1,530

Answer:

1530 cm^3

Step-by-step explanation:

They are two Rectangular Prism.

prism 1.

length l = 18 cm

width w = 10 cm

height h = 4 cm

diagonal d = 20.976177 cm

total surface area S_tot = 584 cm^2

lateral surface area S_lat = 224 cm^2

top surface area St_op = 180 cm2

bottom surface area S_bot = 180 cm^2

volume V = 720 cm^3

Prism 2.

length l = 10 cm

width w = 9 cm

height h = 9 cm

diagonal d = 16.1864141 cm

total surface area S_tot = 522 cm^2

lateral surface area S_lat = 342 cm^2

top surface area Stop = 90 cm^2

bottom surface area Sbot = 90 cm^2

volume V = 810 cm^3

Add 720 cm^3+810 cm^3 = 1530 cm^3

Agenda: l = length

w = width

h = height

d = diagonal

S_tot = total surface area

S_lat = lateral surface area

S_top = top surface area

S_bot = bottom surface area

V = volume

Formula: Volume of Rectangular Prism:  V = lwh

I WILL GIVE 5 STAR AND BRAINLIEST IF 2 PEOPLE ANSWER! GIVE A GOOD ANSWER PLZ!!! Jenny is 12 years older than Steve. Five years ago, Jenny was four times older than Steve was then. How old are Jenny and Steve now?

Answers

Answer:

The age of Jenny=21 years

The age of Steve=9 years

Step-by-step explanation:

So... Let's make their age into unknown variables so it's easier to decipher:

Jenny's age: x

Steve's age: y

If 5 years ago Jenny was four times older than Steve the equation would look like:

y+12-4y=-15

First, you add like terms:

y+12-4y=-15

y-4y=-15-12

Now isolate the unknown variable:

3y=-27

y=9

But this was 5 years ago, and Jenny is 12 years older than Steve so add those two together:

9+12=21

Hope this helped!