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Oliga [24]
3 years ago
14

Write an equation in slope-intercept form for the line that passes through the given point and is parallel to the graph of the g

iven equation.
(0, 4), y = -4x + 5
Mathematics
1 answer:
Fiesta28 [93]3 years ago
7 0
Parallel lines have equal slopes. so the equation y=-4x+5.has slope of -4 because this is in slope intercept form y=mx+b where m is slope.

so we know a parallel line will have slope -4

we have a point on the line so we will use point slope formula to solve.
y-y1=m(x-x1) where (x1,y1) is point on line
so we get
y-4=-4(x-0) to put in slope intercept form we solve for y
y-4=-4x
y=-4x+4 is an equation of a line parallel to y=-4+5 passing through (0,4)
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Find the values of the 30th and 90th percentiles of the data. Please show your work.
MaRussiya [10]

Answer:

30th percentile:109

90th percentile: 188

Step-by-step explanation:

The given data set is:

129, 113, 200, 100, 105, 132, 100, 176, 146, 152

We arrange the data set in ascending order to obtain;

Array= 100,100,105,113,129,132,146,176,200

The 30th percentile is located at

(\frac{30}{100}\times 10 )} -th position, where n=10 is the number of items in the data set

This implies that the 30th percentile is at the 3rd position.

Since 3 is an integer, the 30th percentile is the average of the 3rd and 4th occurrence in the array;

This implies that the 30th percentile = \frac{105+113}{2}=\frac{218}{2}=109

The 90th percentile is located at

(\frac{90}{100}\times 10 )} -th position, where n=10 is the number of items in the data set

This implies that the 90th percentile is at the 9th position.

Since 9 is an integer, the 90th percentile is the average of the 9th and 10th occurrence in the array;

This implies that the 90th percentile = \frac{176+200}{2}=\frac{376}{2}=188

6 0
3 years ago
So this has to do with permutations and honestly I need an explanation on how I can figure these out.
AnnZ [28]
Well, the answer quite simple ....there are 4! ways to arrange these numbers...and as 4! = 4*3*2*1 = 24

hence 24 is the correct answer....


u can also remember it by theorem of multiplication as.....in first place (I.e. first code can be any no. out of 4,5,2&7 ....so 4*.....

as first place is acquired by a certain no. that leaves three no. to fill third place and when third place I'd occupied it leaves 2 numbers to fill second place and lastly only one no. to fill the last place .....so it's result will be like 4*3*2*1.



I know this is pretty much confusing ....but still I tried my best....

if anything troubles u here feel free to ask me
6 0
3 years ago
What is the midpoint of the x-intercepts of f(x) = (x – 2)(x – 4)?
tatyana61 [14]
The x-intercepts are readily identified on the graph:  (2,0) and (4,0).  The midpoint of a line connecting those 2 points would be (3,0).
8 0
3 years ago
Read 2 more answers
PLS HELP ASAP ILL GIVE BRAINLKEST THANKS
Arisa [49]

Answer:

(4,4)

Step-by-step explanation:

hope this help

4 0
3 years ago
Read 2 more answers
What is the answer to -5(-3w-8)=21 for w
Sauron [17]

Answer:

w = -1.266

Step-by-step explanation:

distribute the 5 by everything in the parenthesis and then bring everyhting down then you should have a regular equation to work w

8 0
3 years ago
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