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vredina [299]
2 years ago
14

A motorized scooter normally sells for $560. The scooter was discounted 45% for a sale. After the sale was over, the new price o

f the scooter was 20% higher than the sale price, what was the the new price of the scooter?
Mathematics
1 answer:
beks73 [17]2 years ago
6 0

Answer:

420

Step-by-step explanation:

subtract the percentage which you get 25 percent 560 minus 25 percent is 420

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A. Create a set of 5 points that are very close together and record the standard deviation. Next, add a sixth point that is far
defon

Answer: The addition of the new point alters the previous standard deviation greatly

Step-by-step explanation:

Let the initial five points be : 2 3 4 5 and 6. In order to calculate the standard deviation for this data, we will need to calculate the mean first.

Mean = summation of scores/number of scores.

The mean is therefore: (2+3+4+5+6)/5 = 20/5 = 4.

We'll also need the sum of the squares of the deviations of the mean from all the scores.

Since mean = 4, deviation of the mean from the score "2" = score(2) - mean (4)

For score 3, it is -1

For 4, it's 0

For 5 it's 1

For 6 it's 2.

The squares for -2, -1, 0, 1, and 2 respectively will be 4, 1 , 0, 1, 4. Summing them up we have 10 i.e (4+1+0+1+4=10).

Calculating the standard deviation, we apply the formula:

√(summation of (x - deviation of mean)^2)/N

Where N means the number of scores.

The standard deviation = √(10/5) = 1.4142

If we add another score or point that is far away from the original points, say 40, what happens to the standard deviation. Let's calculate to find out.

i.e we now have scores: 2, 3, 4, 5, 6 and 40

We calculate by undergoing same steps.

Firstly mean. The new mean = (2+3+4+5+6+40)/6 = 60/6 = 10.

The mean deviations for the scores : 2, 3, 4, 5, 6 and 40 are -8, -7, -6, -5, -4 and 30 respectively. The squares of these deviations are also 64, 49, 36, 25, 16 and 900 respectively as well. Their sum will then be 1090. i.e. (64+49+36+25+16+900 = 1090).

The new standard deviation is then=

√(1090/6)

= √181.67

= 13.478.

It's clear that the addition of a point that's far away from the original points greatly alters the size of the standard deviation as seen /witnessed in this particular instance where the standard deviation rises from 1.412 to 13.478

7 0
2 years ago
HELP
aleksandrvk [35]

Answer:

3,1

Step-by-step explanation:

(3+6)= 9

times 1 would also be 9.

4 0
2 years ago
Read 2 more answers
If f(x) = 2х2 + 3 and g(x) = х2 -7, find (f- а)(x).
Lerok [7]

Answer:

C. x^2 -4

Step-by-step explanation:

What you do is subtract the functions as said by

(f-g)(x).

so:

f(x)-g(x)

(2x^2+3) - (x^2 -7)

2x^2 -x^2 +3 - 7= x^2 -4

7 0
3 years ago
The director of a community recreation center conducted a six-week study to examine the effects of four types of exercise—streng
Olin [163]

Answer: The treatments in the study are strength training, flexibility training, aerobics, and jogging.

Step-by-step explanation:

A correct description of a feature of the study is that the treatments in the study are strength training, flexibility training, aerobics, and jogging.

It should be noted that the study has no replication. Also, the experimental units are the 40 members that participated.

Therefore, the correct option is D.

4 0
2 years ago
Please help me with this question
lys-0071 [83]

Answer:

C

180(.6) because 40% off is 0.4 and what is left over is 60% or 0.6. When you multiply this you get 108. 5% sales tax is a 5% increase, so multiple 108(1.05) and you get $113.40.

7 0
2 years ago
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