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o-na
17 days ago
8

A bag holds 11 beads. 7 are red, the rest are white. Two beads are taken at random from the bag. What is the probability that on

e bead of each colour is taken? You must show your working.
Got 2/4 marks for 14/55
Mathematics
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The accompanying data resulted from an experiment in which weld diameter x and shear strength y (in pounds) were determined for
Inessa [12570]

Answer:

y hat = 2114.20 + 18.96x

Step-by-step explanation:

Given the least squares regression model equation:

y hat = -959.00 + 8.60x

weld diameter x; shear strength y (in pounds)

1 lb = 0.4536 kg

To convert shear strength y to kilograms:

y is multiplied by 0.4536

(y hat × 0.4536) = -959.00 + 8.60x

Divide both sides by 0.4536

(y hat × 0.4536) / 0.4536= (-959.00 + 8.60x) / 0.4536

y hat = 2114.1975 + 18.959435x

y hat = 2114.20 + 18.96x

7 0
2 months ago
The current global human population is about 6.1 billion and is growing at an annual rate of 1.35 percent. If world population w
tester [12383]

Answer:

Step-by-step explanation:

The world population currently is rising at a yearly rate of 1.35 percent. The nature of the growth is exponential. We will use the exponential growth formula, expressed as

A = P(1 + r)^t

Where:

A indicates the population after t years.

t symbolizes the number of years.

P is the initial population count.

r signifies the growth rate.

<pFrom the given data,

P = 6.1 × 10^9

r = 1.35% = 1.35/100 = 0.0135

t = 1

Hence,

A = 6.1 × 10^9(1 + 0.0135)^1

A = 6.1 × 10^9(1.0135)^1

A = 6182350000

The total number of people added would be

6182350000 - 6100000000

= 82350000

3 0
4 months ago
A has the coordinates (–4, 3) and B has the coordinates (4, 4). If DO,1/2(x, y) is a dilation of △ABC, what is true about the im
lawyer [12517]
A dilation represents a transformation D_{o,k}(x,y), centered at point O with a scale factor of k, which cannot be zero. This transformation keeps O fixed while transforming any other point P into its image P'. Points O, P, and P' are collinear.

In a dilation of D_{o, \frac{1}{2} }(x,y), the scale factor \frac{1}{2} maps the original figure to its transformed image in such a way that the distances from O to points of the image are half the distances from O to the original figure. Consequently, the image's size is also half that of the original figure.

Thus, <span>If D_{o, \frac{1}{2} }(x,y) represents the dilation of △ABC, then the properties of the image △A'B'C'</span> are:

<span>AB is parallel to A'B'.

D_{o, \frac{1}{2} }(x,y)=( \frac{1}{2}x, \frac{1}{2}y)

The distance from A' to the origin is half that from A to the origin.</span>
3 0
3 months ago
Read 2 more answers
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