Answer:
Option A, V = 3 * 5 * 4
Step-by-step explanation:
Volume of a Cube formula: V = w*h*l
Step 1: Plug in
V = whl
V = (5)(4)(3)
Answer: Option A, V = 3 * 5 * 4
B.) 14.0 millimeters
C.) 0.00140 kiloliters
D.) 1.4 deciliters
The correct answer is:
C.) 0.00140 kiloliters
Explanation:
To convert this, we can use a metric conversion chart:
Kilo- Hecto- Deca- base deci- centi- milli-
Starting with 140 centiliters, converting to deciliters moves to the left 1 place; this moves the decimal to the left one, making it 14.0 deciliters.
Converting to liters, we move to the left 2 places; this moves the decimal to the left two, making it 1.40 liters.
Converting to milliliters, we move to the right 1 place; this moves the decimal to the right one, making it 1400 milliliters.
Converting to kiloliters, we move to the left 5 places; this moves the decimal left 5, making it 0.00140 kiloliters.
Answer:
The probability of 1 or less children from that group to learn how to swim before 6 years of age is 0.072
Step-by-step explanation:
In this case we need to compute the probability of none of these 12 children learns to swim before 6 years of age. This is given by:
p(0) = (1 - 0.312)^(12) = 0.688^(12) = 0.01124
We now need to calculate the probability that one child learns to swim before 6 years of age.
p(1) = 12*0.312*(1 - 0.312)^(11) = 3.744*(0.688)^(11)
p(1) = 3.744*0.01634
p(1) = 0.0612
The probability of 1 or less children from that group to learn how to swim before 6 years of age is:
p = p(0) + p(1) = 0.01124 + 0.0612 = 0.07244
Step-by-step explanation:
as I can see this the answer is
x = 25/78
in decimal
x = 0.320
The problem involves joint variation with variables y, x, and z. After finding the constant of variation, we substitute the given values into the joint variation equation and determine that x = 16.67
First, we establish the equation of joint variation, which in this context is y = kxz, where 'k' is the constant of variation. When y=13, x=26, and z=6, we insert these values into the equation to solve for 'k'. This gives us k = y/(xz) = 13/(26*6) = 0.08333.
Now that we have the constant 'k', we can find the value of 'x' when y=25 and z=18. We rearrange our equation to solve for 'x', resulting in x = y/(kz). Substituting the known values, we get x = 25/(0.08333*18) = 25/1.5 = 16.67. Therefore, if y varies jointly with x and z, and y=25 when z=18, then x = 16.67.
#SPJ2
need help with both
Answer:
The new volume is 1.63 L
Step-by-step explanation:
A tire pump has a volume of 1.5 L, while the temperature is 5 °C When the temperature changes to 30 °C, the volume will change as well.
The pressure remains constant.
Since the pressure is constant we can use the following formula:
V1/T1 = V2/T2
V1 = the initial volume = 1.5L
T1 = the initial temperature = 5 °C = 273.15 + 5 = 278.15 K
V2 = the final volume = TO BE DETERMINED
T2 = the final temperature = 30 °C = 273.15 + 30 = 303.15 K
1.5L/ 278.15 Kelvin = V2/303.15 K
V2 = (1.50L * 303.15 Kelvin) / 278.15 Kelvin = 1.63 L
When the temperature increased from 5°C to 30°C, the volume will change to 1.63 L
Answer:
16
Step-by-step explanation:
Set up a proportion: 27/12=36/n
Solve algebraically: 27n=432
n=16
Therefore, 16