1. Answer: x < –4
The question is a bit ambiguous since x4 can be interpreted as x^4. Since there was no option for −x^4−6 ≥ −8 , I will solve the question assuming that the original question was −x(4−6)≥−8
−x(4−6)≥−8 −x(-2)≥−8 ---> multiply x with -2 2x≥−8 ----> divide by 2x≥−4
2. Answer: x≥ -11
To solve inequality using > or < sign, you must be careful because multiplying the inequality with -1 will cause the sign to change direction(< will become > or vice versa). In this case, will solve the question without multiplying it with -1
6.7 ≥−0.2x + 4.5 ----> move -0.2x to left, 6.7 to right
0.2x ≥ 4.5 - 6.7
0.2x ≥ -2.2
x≥ -11
Answer:
A sample size of at least 228 must be needed.
Step-by-step explanation:
We are given that in the latest survey by the National Association of Colleges and Employers, the average starting salary was reported to be $61,238. Assume that the standard deviation is $3850.
And we have to find that what sample size do we need to have a margin of error equal to $500 with 95% confidence.
As we know that the Margin of error formula is given by;
<u>Margin of error</u> = 
where,
= significance level = 1 - 0.95 = 0.05 and
= 0.025.
= standard deviation = $3,850
n = sample size
<em>Also, at 0.025 significance level the z table gives critical value of 1.96.</em>
So, margin of error is ;
= 15.092
Squaring both sides we get,
n =
= 227.8 ≈ 228
So, we must need at least a sample size of 228 to have a margin of error equal to $500 with 95% confidence.
C how many students attend natashas school
Answer:
b
Step-by-step explanation:
Explicit formula for the sequence 29,20,11....... is 
Given :
term of the sequence 29, 20, 11, ...
We need to find out the formula for the nth term of the given sequence
Lets find out whether the given sequence is arithmetic or geometric
In the given sequence , common difference is 9

we can say difference =-9
General explicit formula

where a1 is the first term
common difference d=-9
substitute the values

Explicit formula for the sequence 29,20,11....... is 
Learn more : brainly.com/question/23243640