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iren2701 [21]
3 years ago
8

If 20 were added to each of the vlaues in a data set that originally had a standard deviation of 8, the standard deviation of th

e resulting data would be 28
Mathematics
1 answer:
Nitella [24]3 years ago
3 0

Answer:

False (I assume it's a true/false question)

Step-by-step explanation:

Standard deviation measures how spread out the data is.  If you add 8 to all the data values, the distribution of data moves to the right (on a graph) 8 units. The shifted data are no more and no less spread out than before.  The standard deviation does not change.

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The diagram shows the cross-section of a wall of a cinema. It has to be painted. Work out the area that needs to be painted.
mestny [16]

Answer:

Area = 370 m²

Cost to paint = £105

Step-by-step explanation:

Area of the wall of a cinema hall = Area of a trapezoid (1)+ Area of a rectangle (2) + Area of a trapezoid (3)

Area of a trapezoid = \frac{1}{2}(b_1+b_2)h

where b_1 and b_2 are the parallel sides and h is the distance between these sides.

Area of trapezoid (1) = \frac{1}{2}(11+12)\times 6

                                  = 69 m²

Area of the rectangle (2) = Length × Width

                                         = 12 × 15

                                         = 180 m²

Area of the trapezoid (3) = \frac{1}{2}(12+10)\times 11

                                         = 121 m²

Now area of the wall = 69 + 180 + 121

                                   = 370 m²

One tin covers the area = 25 m²

Number of tins required to paint the wall = \frac{\text{Total area}}{\text{Area covered by one tin}}

= \frac{370}{25}

= 14.8

Therefore, number of tins to be purchased = 15

Cost to paint the complete wall = 15 × £7

                                                       = £105

8 0
3 years ago
Find the equation of the line that passes through the points (2, 2) and (-4, -1).
Reil [10]
The answer is c. if you plug in the numbers for x you get the correct numbers for y
6 0
3 years ago
Read 2 more answers
HELP ASAP PLEASE!!
Korolek [52]

Answer:

you can check on a website called "desmos graphing."

3 0
2 years ago
2 ft
sdas [7]

Answer:

88/7 ft = 12.6 ft (nearest tenth)

Step-by-step explanation:

Circumference of a circle = 2\pir

<u>Radius of inner circle</u>

Given:

  • circumference of inner circle = 22ft
  • \pi = 22/7

⇒ 22 = 2 x (22/7) x r

⇒ r = 3.5

So the radius of the inner circle is 3.5 ft

<u>Radius of outer circle</u>

If the distance between the inner circle and the outer circle is 2 ft, then the radius of the outer circle = 3.5 + 2 = 5.5

<u>Circumference of outer circle</u>

Therefore, circumference of outer circle:

=  2 x (22/7) x 5.5

= 242/7 ft

<u>Difference between circumferences</u>

Difference = outer circle circumference - inner circle circumference

                  = 242/7 - 22

                  = 88/7 ft

                  = 12.6 ft (nearest tenth)

4 0
2 years ago
one third of the sum of two angles is 60 degree and one quarter of their difference is 28 degree. find the two angles
vlabodo [156]
1/3(a + b) = 60
a + b = 60 * 3 = 180

1/4(a - b) = 28
a - b = 28 * 4 = 112

a + b = 180
a - b = 112
---------------add
2a = 292
a = 292/2
a = 146

a + b = 180
146 + b = 180
b = 180 - 146
b = 34

so ur 2 angles are : 146 and 34
7 0
3 years ago
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