Answer:
x = 133
Step-by-step explanation:
First, determine what total sum would be needed for the mean to be 114. Do this by multiplying 114 by 6 (bc total number of values in data set includes the variable <em>x</em>).
114 x 6 = 684
Next, add the five known values to get a sum of 551.
Now, just: 684 - 551 = 133
For the mean to be 114, x must equal 133.
Answer:
Density is defined as:
Density = mass/volume.
We know that:
For liquid A:
Density = 70kg/m^3
Mass = 1400kg
Then the volume is:
Volume = mass/density = (1400kg)/(70kg/m^3) = 20 m^3
For liquid B:
Density = 280 kg/m^3
Volume = 30m^3
We can find the mass of liquid B as:
mass = density*volume = (280kg/m^3)*(30m^3) = 8400 kg
We know that liquid C is a mixture of liquid A and B.
Then the mass of liquid C will be equal to the sum of the masses of liquid A and B, then:
Mass of liquid C = 1400kg + 8400kg = 9800kg
The same happens for the volume, then:
Volume of liquid C = 30m^3 + 20m^3 = 50m^3
Then the density of liquid C is:
Density of liquid C = (9800kg)/(50m^3) = 196 kg/m^3
Answer:
p = -5
Step-by-step explanation:
Answer: x = 63
Step-by-step explanation:
15/3 = 5
3 * 21 = 63
63/15 = 21/5
Answer:
Step-by-step explanation:
3(x-2)= -3
Divide both sides by 3
x-2 = -1
add 2 to both sides
x - 2 +2 = -1 + 2
x = 1
