Answer:
A had 22 mangoes, B had 26 mangoes
Step-by-step explanation:
We can write the following system:
A + 10 = 2(B - 10) -- Equation 1
3(A - 10) = B + 10 -- Equation 2
A + 10 = 2B - 20 → A = 2B - 30 -- Equation 3 (Simplify Equation 1)
3(2B - 30 - 10) = B + 10 -- Equation 4 (Substitute 3 into 2)
3(2B - 40) = B + 10
6B - 120 = B + 10
5B = 130
B = 26 -- (Solve for B in Equation 4)
A = 2 * 26 - 30 = 22 -- (Substitute B = 26 into Equation 3)
Answer:
So the answer for this case would be n=30 rounded up to the nearest integer
Step-by-step explanation:
Information given
the margin of error desired
standard deviation from previous studies
The margin of error is given by this formula:
(a)
And on this case we have that ME =2 and we are interested in order to find the value of n, if we solve n from equation (a) we got:
(b)
The critical value for 99% of confidence interval now can be founded using the normal distribution. The significance level is 
and the critical value would be 
, replacing into formula (b) we got:
So the answer for this case would be n=30 rounded up to the nearest integer
There are 12 different ways to organize your schedule
There are 2 English classes
There are 3 math classes
There are 3 history classes
Take 2x3x3 and you get 12
In thermodynamics, specific volume is considered to be an
intrinsic property of matter. What we meant by intrinsic property is that, the
value of this property does not change no matter the size of the sample. This
is opposite to weight or volume which changes depending on the size of the
sample.
By mathematical definition, specific volume is the ratio of
the substance’s volume to its mass. Or in other words, this is the reciprocal
of density.
The formula for density is:
density = mass / volume
Since specific volume is reciprocal so:
Specific volume = 1 / density = volume / mass
Calculating:
Specific volume = 100 ft^3 / 5 pounds
Specific volume = 20 ft^3 / pound
Or when asked in units of m^3 / kg, we convert:
Specific volume = (20 ft^3 / pound) (2.2 pound / kg) (1 m^3
/ 35.3147 ft^3)
Specific volume = 1.246 m^3 / kg
Answer:
if i can be brainliest that would be great
f(x) = x^2+3x-10
f(x+5) = (x+5)^2+3(x+5)-10 ... replace every x with x+5
f(x+5) = (x^2+10x+25)+3(x+5)-10
f(x+5) = x^2+10x+25+3x+15-10
f(x+5) = x^2+13x+30
Compare this with x^2+kx+30 and we see that k = 13
Factor and solve the equation below
x^2+13x+30 = 0
(x+10)(x+3) = 0
x+10 = 0 or x+3 = 0
x = -10 or x = -3
The smallest zero is x = -10 as its the left-most value on a number line.
