The point slope form of a straight line is y-y1 = m(x-x1)
y -(-3) = -7(x-5)
y + 3 = -7(x-5)
y = -7x + 35 - 3
y = -7x + 32
Answer:
The value of the test statistic and degrees of freedom is 2.148 and 11 respectively.
Step-by-step explanation:
Consider the provided information.
The mean annual tuition and fees for a sample of 12 private colleges was 36,800 with a standard deviation of 5,000 .
Thus, n = 12,
σ = 5000
degrees of freedom = n-1 = 12-1 = 11

Formula to find the value of z is: 
Where
is mean of sample, μ is the mean of population, σ is the standard deviation of population and n is number of observations.


Hence, the value of the test statistic and degrees of freedom is 2.148 and 11 respectively.
Answer:
y = x - 5
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = x - 3 ← is in slope- intercept form
with slope m = 1
• Parallel lines have equal slopes, hence
y = x + c ← is the partial equation of the parallel line.
To find c substitute (3, - 2) into the partial equation
- 2 = 3 + c ⇒ c = - 2 - 3 = - 5
y = x - 5 ← equation of parallel line
Answer:
The correct answer is 144.
Step-by-step explanation:
The librarian noticed that 60% of total seventh graders checked out fantasy books from the library.
Total number of seventh graders is given to be 240.
Number of seventh grade students who checked out fantasy books = 60% of 240 = 0.6 × 240 = 144.
Thus out of 240 seventh graders 144 of them would check out a fantasy book from the library.
Answer:
Is below.
Step-by-step explanation:
Prime Factors:
40 = 2*2*2*5
210 = 2*3*5*7
165= 3*5*11
The LCM is 2*2*2*3*5*7*11
= 8*15*77
= 9240.