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Rashid [163]
3 years ago
14

ΔDEF with vertices D(2, 5), E(6, 4), and F(3, 3), is reflected across the line y=x. A student determined one of the vertices on

the image to be (2, –5). Evaluate the student’s answer.
A. The student performed the reflection correctly.
B. The student incorrectly reflected across over the x-axis.
C. The student incorrectly reflected across the y-axis.
D. The student incorrectly reflected across the line y = –x.

Please select the best answer from the choices provided

ANSWER:  B. The student incorrectly reflected across over the x-axis.
Mathematics
1 answer:
antoniya [11.8K]3 years ago
7 0
The answer would be D
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A box in a supply room contains 24 compact fluorescent lightbulbs, of which 8 are rated 13-watt, 9 are rated 18-watt, and 7 are
Marrrta [24]

Answer:

a) There is 17.64% probability that exactly two of the selected bulbs are rated 23-watt.

b) There is a 8.65% probability that all three of the bulbs have the same rating.

c) There is a 12.45% probability that one bulb of each type is selected.

Step-by-step explanation:

There are 24 compact fluorescent lightbulbs in the box, of which:

8 are rated 13-watt

9 are rated 18-watt

7 are rated 23-watt

(a) What is the probability that exactly two of the selected bulbs are rated 23-watt?

There are 7 rated 23-watt among 23. There are no replacements(so the denominators in the multiplication decrease). Then can be chosen in different orders, so we have to permutate.

It is a permutation of 3(bulbs selected) with 2(23-watt) and 1(13 or 18 watt) repetitions. So

P = p^{3}_{2,1}*\frac{7}{24}*\frac{6}{23}*\frac{17}{22} = \frac{3!}{2!1!}*\frac{7}{24}*\frac{6}{23}*\frac{17}{22} = 3*\frac{7}{24}*\frac{6}{23}*\frac{17}{22} = 0.1764

There is 17.64% probability that exactly two of the selected bulbs are rated 23-watt.

(b) What is the probability that all three of the bulbs have the same rating?

P = P_{1} + P_{2} + P_{3}

P_{1} is the probability that all three of them are 13-watt. So:

P_{1} = \frac{8}{24}*\frac{7}{23}*\frac{6}{22} = 0.0277

P_{2} is the probability that all three of them are 18-watt. So:

P_{2} = \frac{9}{24}*\frac{8}{23}*\frac{7}{22} = 0.0415

P_{3} is the probability that all three of them are 23-watt. So:

P_{3} = \frac{7}{24}*\frac{6}{23}*\frac{5}{22} = 0.0173

P = P_{1} + P_{2} + P_{3} = 0.0277 + 0.0415 + 0.0173 = 0.0865

There is a 8.65% probability that all three of the bulbs have the same rating.

(c) What is the probability that one bulb of each type is selected?

We have to permutate, permutation of 3(bulbs), with (1,1,1) repetitions(one for each type). So

P = p^{3}_{1,1,1}*\frac{8}{24}*\frac{9}{23}*\frac{7}{22} = 3**\frac{8}{24}*\frac{9}{23}*\frac{7}{22} = 0.1245

There is a 12.45% probability that one bulb of each type is selected.

3 0
3 years ago
Nick, Paul and krutika share £80 in a ratio 1:1:2 how much money does each person get
Westkost [7]

Answer:

£20

Step-by-step explanation:

First you add 1 ,1 ,2 which =4

Next you divide 80 by 4 which give you the answer 20.

3 0
3 years ago
Sid starts with savings of £13
vfiekz [6]

Answer:

after 6 weeks

Step-by-step explanation:

Sid and Tim starts saving each week.

Sid starts his savings with initial amount of £13.00

Tim starts his saving with initial amount of £00.00

Each week from now Sid will save = £3.50

Tim will save each week = £3.00

Let's assume after 'x' weeks the amount of Sid would be = £ (13 + 3.50x)

and the amount of Tim's saving after x weeks = £ (3x)

The ratio of their savings in x weeks would be = 17 : 9

Now the expression we get,

(13 + 3.50x) : (3x) = 17 : 9

\frac{13+3.50x}{3x}=\frac{17}{9}

9(13 + 3.50x) = 17(3x)

117 + 31.5x = 51x

117 = 51x - 31.5x

117 = 19.5x

x=\frac{117}{19.5}

x = 6

After 6 weeks the savings of Tim and Sid would be in the ratio of 17 : 9.

5 0
3 years ago
Olivia deposited $2,136.70 into a saving account with an interest rate of 2.7% compounded quarterly. About how long will it take
mariarad [96]

Answer:

23.3 years

Step-by-step explanation:

4000 = 2136.7(1 + .027/4)^(4t)

4000 / 2136.7 = 1.00675^4t

ln (4000 / 2136.7) / ln 1.00675^4 = t

23.301690290541729158877031400229 = t

23.3 years

4 0
3 years ago
Read 2 more answers
Please help ASAP!!!!!!!!!!!!
Rom4ik [11]
V = sqrt 64h

H = 76

V = sqrt * 64(76)


Answer:  V = 69.74 ft/sec






Hope that helps!!!!
4 0
3 years ago
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