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Dahasolnce [82]
3 years ago
15

I wasn’t at school when we learned this. Could someone he

Mathematics
1 answer:
Ksenya-84 [330]3 years ago
6 0

Answer:

a= (1,4)

b=(4,2)

c=(2,6)

d=(2,-1)

Step-by-step explanation:

All I did was looked at the regions the points began and ended. I'm not 100% this is correct but I hope I helped!

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Given the data: 0.90 1.42 1.30 1.55 1.63 1.32 1.35 1.47 1.95 1.66 1.96 1.47 1.92 1.35 1.05 1.85 1.74 1.65 1.78 1.71 2.29 1.82 2.
yKpoI14uk [10]

Answer:

Step-by-step explanation:

a) Mean means the average we add all the values in data and divide it by the total number

Mean= 0.9+1.42+1.3+1.55+1.63+1.32+1.35+1.47+1.95+1.66+1.96+1.47+1.92+1.35+1.05+1.8<u>5+1.74+1.65+1.78+1.71+2.29+1.82+2.06+2.14+1.27                                                   </u>

                                                              25

Mean= <u>40.61</u>

             25

Mean= 1.624

Place the values in correct order starting from least

0.9,1.05,1.27,1.30,1.32,1.35,1.35,1.42,1.47,1.47,1.55,1.63,1.65,1.66,1.71,1.74,1.78,1.82,1.85,1.92,1.95,1.96,2.06,2.14,2.29

Median = 1.65 ( this is the middle value odf the data given)

Mode = 1.35 and 1.47

Variance =

in order to find the variance we subtract each data value with mean and square it and then divide all with the total sample size

σ2 = (0.9-1.624)²+ (1.42-1.624)²+(1.3-1.624)²+(1.55-1.624)²+(1.63-1.624)²+(1.32-1.624)²+(1.35-1.624)²+(1.47-1.624)²+(1.95-1.624)²+(1.66-1.624)²+(1.96-1.624)²+(1.47-1.624)²+(1.92-1.624)²+(1.35-1.624)²+(1.05-1.624)²+(1.85-1.624)²+(1.74-1.624)²+(1.65-1.624)²+(1.78-1.624)²+(1.71-1.624)²+(2.29-1.624)²+(1.82-<u>1.624)²+(2.06-1.624)²+(2.14-1.624)²+(1.27-1.624)²                                             </u>

                                         25

σ2=<u> 2.764</u>

         25

σ2 = 0.1105

Standard Deviation = √σ2

σ -= √0.1105

σ = 0.332

Coefficient of variance = Here we divide standard deviation by mean and multiply by 100

Coefficient of Variance = (0.332÷ 1.624) × 100

Coefficient of Variance = 20.47

b)

7 0
3 years ago
Can someone help please ASAP
Paul [167]

Answer:

4

Step-by-step explanation:

2 · 4 = 8

8 + 4 = 12

the value of x is 4

3 0
3 years ago
Show that the series is convergent by the alternating series test, and find the number of terms necessary to estimate the sum of
Murljashka [212]

Answer:

6 terms

Step-by-step explanation:

2 − 2/4 + 2/9 − 2/16 + ...

∑ (-1)ⁿ⁺¹ 2 / n²

Applying alternating series test:

lim(n→∞) 2/n² = 0

2/(n+1)² < 2/n², so the series is decreasing.

Therefore, the series converges.

2/(n+1)² < 0.05

(n+1)²/2 > 20

(n+1)² > 40

n+1 > 6.32

n > 5.32

n = 6

7 0
3 years ago
A tube is being stretched while maintaining its cylindrical shape. The height is increasing at the rate of 2 millimeters per sec
hoa [83]

Answer:

V = πr²h

S=2πrh

h= 2/3 millimeters

new height= 8/3 millimeters

S= 8π  millimeters square

New surface area = 32π  millimeters square

Step-by-step explanation:

The volume of the cylinder is given by V = πr²h   where r is the radius and h is the height.

The surface area of the cylinder is given by  S= 2πrh + 2πr²

Where πr² gives the area of the base and 2πr² gives the area of the top and bottom surfaces. The surface area S of a cylinder, not including the top and bottom of the cylinder, is therefore S=2πrh.

V = πr²h

96π= π (6*6) (h+2)

96 = 36 (h+2)

96/36= h+2

h= 96/36-2

h= 96-72/36

h= 24/36

h= 4/6

h= 2/3 millimeters

New height

h + 2= 2/3 + 2

= 2+6/3= 8/3 millimeters

Now S =2πrh

S = 2π(6) (2/3)

S= 8π  millimeters square

New Surface area

S = 2π(6) (8/3)

S= 32π  millimeters square

6 0
3 years ago
What is the area of the figure? Please help!
makvit [3.9K]
First brake the figure into 3 rectangles . One across and 2 going up and down . Then solve for the small figures and add up all the areas together . Hope this helps . 
8 0
3 years ago
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