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3 years ago

Reduce the ratio 12:9

Mathematics

1 answer:

Triss [41]3 years ago

5 0

12:9 reduced is 4:3 and if you divide 4:3 it also reduces to 1 1/3

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3 years ago

<) Madison is organizing a 10K race. She is ordering cases of bottled water for the runners.

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Answer:

b= 20 • c

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3 years ago

A factor in determining the usefulness of an examination as a measure of demonstrated ability is the amount of spread that occur

GarryVolchara [31]

Answer:

Step-by-step explanation:

From the information given :

The null hypothesis $H_o : \sigma = 60$

The alternative hypothesis $Ha : \sigma \neq 60$

Given that:

the sample size n = 21

sample standard deviation s = 68

population standard deviation σ = 60

a) The level of significance $\alpha =0.01$

b) The chi-square statistics can be calculated as:

$\bar X = \dfrac{(n-1)s^2}{\sigma^2}$

$\bar X = \dfrac{(21-1)68^2}{60^2}$

$\bar X = \dfrac{(20)4624}{3600}$

$\bar X = 25.69$

The degree of freedom is :

= n - 1

= 21 - 1

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3 years ago

Twice the sum of a number and negative nine

Mice21 [21]

2(x+-9)
2(x-9)
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3 years ago

Segment AB is being dilated with the center at the origin. The image of A, point A" has coordinates of (3.2, 6.4). What is the s

insens350 [35]

Answer: The correct option is

(A) The scale factor is 0.8 and the coordinates of point B" are (–3.2, –4.8).

Step-by-step explanation: Given that the segment AB is being dilated to A''B'' with the center at the origin. The image of A, point A" has coordinates of (3.2, 6.4).

We are to find the scale factor of the dilation and the co-ordinates of the point B''.

From the given graph, we note that

the co-ordinates of point A are (4, 8).

Now, If S is the scale factor of dilation, then we must have

$S\times (4,8)=(3.2,6.4)\\\\\Rightarrow (4S,8S)=(3.2,6.4)\\\\\Rightarrow S=\dfrac{3.2}{4}=\dfrac{6.4}{8}=0.8.$

So, the scale factor is 0.8.

Now, the co-ordinates of point B are (-4, -6). So, the co-ordinates of B'' will be

$(-4\times 0.8,-6\times 0.8)=(-3.2,-4.8).$

Thus, the correct option is

(A) The scale factor is 0.8 and the coordinates of point B" are (–3.2, –4.8).

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4 years ago

Read 2 more answers