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
x - 2
The quotient is
The remainder is
Answer:
Step-by-step explanation:
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.
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.
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
this figure to miles per galllon
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.
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
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!