Answer: f(x) = - 7x/17 - 29/17
Step-by-step explanation:
The expression for the function f(x) would be represented in the slope-intercept form, y = mx + c
Where
c represents the y intercept.
m represents the slope of the line.
Slope, m =change in value of y on the vertical axis / change in value of x on the horizontal axis represent
change in the value of y = y2 - y1
Change in value of x = x2 -x1
The line passes through (8, - 5) and (- 9, 2),
y2 = 2
y1 = - 5
x2 = - 9
x1 = 8
Slope,m = ( 2 - - 5)/(- 9 - 8) = 7/- 17 =
- 7/17
To determine the intercept, we would substitute x = 8, y = - 5 and m = - 7/17 into
y = mx + c. It becomes
- 5 = - 7/17 × 8 + c
- 5 = - 56/17 + c
c = - 5 + 56/17
c = - 29/17
The equation becomes
f(x) = - 7x/17 - 29/17
Answer:
100.9
Step-by-step explanation:
The 10th place is the one one right after the decimal, in this case 9. Since there's a 0 next to the nine you don't have to change anything. Thus you get 100.9
Answer:
c) The series diverges. There is no sum.
Step-by-step explanation:
A geometric series is a series of the form:
, 
Where:
- First term of the series, dimensionless.
- Common ratio, dimensionless.
A geometric series converges only if 
. As 
, the geometric series diverges. Hence, the right answer is C.
71% subtracted from 100% is 29%
<h3>Complete question</h3>
Add or subtract the given percent from 100%.
71%
<h3>How to solve the expression?</h3>
The percentage (p) is given as:
p = 71%
When subtracted from 100%, we have:
100% - p
Substitute p = 71%
100% - 71%
71 subtracted from 100 is 29.
So, we have:
100% - 71% = 29%
Hence, 71% subtracted from 100% is 29%
Read more about percentages at:
brainly.com/question/843074
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Answer:
Step-by-step explanation:
Hello!
The chemistry instructor tested the hypothesis that the proportion of students that passed the introductory chemistry class is better with an embedded. If the known proportion for this population is 65%, the tested hypothesis is:
H₀: p=0.65
H₁: p>0.65
The calculated statistic is Z=2.52 and the associated p-value: 0.0059
Remember:
The p-value is defined as the probability corresponding to the calculated statistic if possible under the null hypothesis (i.e. the probability of obtaining a value as extreme as the value of the statistic under the null hypothesis).
In this case:
P(Z≥2.52)=0.0059
There is no significance level, the most common one is α: 0.05 so I'll use it as an example.
To make a decision using the p-value you have to compare it to the α.
If p- value>α then you support the null hypothesis (In this case, you can say that there is no change in the proportion of students that passed the introductory chemistry class with an embedded tutor.)
If p-value≤α your decision will be to reject the null hypothesis (In this case, there is significant evidence to say that there is an improvement in the success rate of the introductory chemistry class with an embedded tutor?
Since the p-value:0.0059 is less than the significance level 0.05, you will decide to reject the null hypothesis.
I hope you have a SUPER day!
