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2 years ago

Point T is at (–3, 7). What are the coordinates of point T' after Ry-axis ∘ Rx-axis?

Mathematics

1 answer:

dimaraw [331]2 years ago

6 0

Given:

The point is T(-3,7).

To find:

The image T' after $R_{y-axis}\circ R_{x-axis}$ .

Solution:

$R_{y-axis}\circ R_{x-axis}$ , it means reflection across x-axis is followed by reflection across y-axis.

If a point is reflected across the x-axis, then

$(x,y)\to (x,-y)$

$T(-3,7)\to T_1(-3,-7)$

Then point is reflected across the y-axis. So,

$(x,y)\to (-x,y)$

$T_1(-3,-7)\to T'(3,-7)$

Therefore, the coordinates of point T' are (3,-7).

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Nady [450]

Answer:

The scores in order from least likely to most likely is 8, 3, 4, and 5.

Step-by-step explanation:

1. Calculate the probability of the spinner adding up to 1, 2, 3, 4, .... 8

You will get:

2 (1/16)

3 (2/16)

4 (3/16)

5 (4/16)

6 (3/16)

7 (2/16)

8 (1/16)

2. Given the scores from the problem, the probability of each number is 3 (2/16), 4 (3/16), 5 (4/16), and 8 (1/16).

3. With this, we can determine the scores in order from least likely to most likely is 8, 3, 4, and 5.

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2 years ago

Manuel painted 0.75 of a rectangular banner green. After the paint dried, he painted 0.6 of the green area orange. What part of

NNADVOKAT [17]

Answer:

0.45 part of the banner is painted orange

Step-by-step explanation:

portion of rectangular banner painted green = 0.75

Portion of green painted part which is now painted orange = 0.60

Hence we can say that

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mathematically it is

0.6 * 0.75 = 0.45

Thus 0.45 part of banner is painted orange .

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2 years ago

The life, in years, of a certain type of electrical switch has an exponential distribution with an average life β=44. If 100 o

Bond [772]

Answer:

0.9999

Step-by-step explanation:

Let X be the random variable that measures the time that a switch will survive.

If X has an exponential distribution with an average life β=44, then the probability that a switch will survive less than n years is given by

$\bf P(X$

So, the probability that a switch fails in the first year is

$\bf P(X$

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$\bf P(Y=k)=\binom{100}{k}(0.02247)^k(1-0.02247)^{100-k}$

where

$\bf \binom{100}{k}$ equals combinations of 100 taken k at a time.

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2 years ago

Please help me answer this ASAP! The two-way table shows the number of ninth and tenth graders who prefer going to sporting even

Elis [28]

<h2>Answer</h2>

0.43

<h2>Explanation</h2>

Remember that $RelativeFrecuency=\frac{Frecuency}{SumOfAllFrecuencies}$

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