Answer:
1020 students
Step-by-step explanation:
Given the trend line equation :
y = 0.1x + 18,
where y is the total number of staff members and x is the total number of students.
Using the equation, the predicted number of students in a school with 120 staffs ;
y = 120
y = 0.1x + 18
120 = 0.1x + 18
120 - 18 = 0.1x
102 = 0.1x
x = 102 / 0.1
= 1020 students
Answer:
68% of the incomes lie between $36,400 and $38,000.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = $37,200
Standard Deviation, σ = $800
We are given that the distribution of SAT score is a bell shaped distribution that is a normal distribution.
Empirical rule:
- Almost all the data lies within three standard deviation of mean for a normally distributed data.
- About 68% of data lies within one standard deviation of mean.
- About 95% of data lies within two standard deviation of mean.
- About 99.7% of data lies within three standard deviation of mean.
Thus, 68% of data lies within one standard deviation.
Thus, 68% of the incomes lie between $36,400 and $38,000.
If X is congruent to Z then they have to be the same number, then you add them and the result you substract it from 180 and that equals Y (remember that the sides of a triangle add up to 180)
At first glance I believe you meant 10 = (3/5)(x+5). It's important that you share the instructions for each problem you post; I assume they state: "solve the following fractional linear equation for x."
Here are two approaches. Take your pick.
1) Distribute the multiplier (3/5) over (x+5). Resulting equation is
10=(3/5)x + 3. Subtr. 3 from both sides: 7=(3/5)x. Mult both sides by (5/3). Result: (35/3)=x.
2) Mult. the original equation by 5 to remove fractions: 50=3(x+5). Multiply out 3(x+5), to obtain 50=3x +15. Subtr. 15 from both sides. Result:
35=3x. Divide both sides by 3.
