Answer:
x = 1.5
y = 3
Step-by-step explanation:
to solve this system of equation using the substitution methods we say let
2x+3y=12................................... equation 1
y=x+1.5..................................... equation 2
substitute equation 2 into equation 1
2x+3y=12................................... equation 1
2x + 3( x + 1.5) = 12
2x + 3x + 4.5 = 12
5x + 4.5 = 12
collect the like terms
5x = 12 - 4.5
5x = 7.5
divide both sides by the coefficient of x which is 5
5x/5 = 7.5/5
x = 1.5
put x = 1.5 into equation 2
y=x+1.5..................................... equation 2
y = 1.5 + 1.5
y = 3
therefore the value of x = 1.5 and y = 3 respectively.
Answer:
500 and 5,000
Step-by-step explanation:
The value of the first 5 is five hundred (500)
The value of the second is five thousand (5,000)
Answer:
x = 63.6
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X and also the area to its left. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X, which is the area to its right.
In this problem, we have that:

Find a value of x that has area 0.01 to its right
This is x when Z has a pvalue of 1-0.01 = 0.99. So it is X when Z = 2.3267.




So x = 63.6
Answer: 17000000 ounces of gold were mined in that country that year.
Step-by-step explanation:
Let x represent the number of ounces of gold that were mined in that country that year.
Approximately 1,870,000 oz of gold went into the manufacturing of electronic equipment in a certain country in 1 year. This was 11% of all the gold mined in that country that year. This means that
11/100 × x = 1870000
0.11x = 1870000
x = 1870000/0.11
x = 17000000
Answer:
c
Step-by-step explanation: