Answer:
The graph of the line in the attached figure
Step-by-step explanation:
we have

This is the equation of a line into point slope form
The slope is 
The line pass through the point (-6,-7)
To graph the line find the y-intercept
Remember that
The y-intercept of the line is the value of y when the value of x is equal to zero
so
For x=0




The y-intercept is the point (0,-3)
with the point (-6,-7) and (0,-3) plot the line
see the attached figure
Answer:
I got x<equal to -11 or x>equal to4
Step-by-step explanation:
x^2+15x+44=0
(x+4)(x+11)=0(Factor left side of equation)
x+4=0 or x+11=0(Set factors equal to 0)
x=−4 or x=−11
Check intervals in between critical points. (Test values in the intervals to see if they work.)
x<−11(Works in original inequality)
−11<x<−4(Doesn't work in original inequality)
x>−4(Works in original inequality)
Answer:
x<−11 or x>−4
Using the <u>normal distribution and the central limit theorem</u>, it is found that there is a 0.0409 = 4.09% probability that, from a simple random sample of 300 adults in the county, less than 50% would say they believe that gardening should be part of the school curriculum.
In a normal distribution with mean
and standard deviation
, the z-score of a measure X is given by:
- It 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, which is the percentile of X.
- By the Central Limit Theorem, the sampling distribution of sample proportions for a proportion p in a sample of size n has

In this problem:
- The proportion is of 55%, hence

- The sample has 300 adults, hence

Then, the <u>mean and the standard error</u> are given by:


The probability is the <u>p-value of Z when X = 0.5,</u> hence:

By the Central Limit Theorem



has a p-value of 0.0409.
0.0409 = 4.09% probability that, from a simple random sample of 300 adults in the county, less than 50% would say they believe that gardening should be part of the school curriculum.
A similar problem is given at brainly.com/question/25800303
Answer:
the cost of labor per hour is $55
Step-by-step explanation:
Let C = cost of labor per hour
Let h = hours worked
Let p = cost of parts
Let t = total price

Answer:
27
Step-by-step explanation:
V_cylinder = pi r^2 h
h = 36
V_cylinder = 36 pi r^2
V_Sphere = 4/3 * pi * r^3
But the volumes are given as equal
36pi r^2 = (4/3) pi r^3 divide by pi r^2
36 = 4/3 r Multiply both sides by3/4
36 * 3/4 = r
r = 27