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viva [34]
3 years ago
11

Someone answer urgent and if so I will mark brainliest

Mathematics
1 answer:
grin007 [14]3 years ago
7 0

Answer:

(x, y) is transformed into (y, -x)

This is the last option (option I) in the list of possible answers.

Step-by-step explanation:

Notice the transformation in the point you picked: (-6,4), which from this coordinates change into the point (4,6) after the rotation about the origin.

Notice that the value "4" which was the original "y" value of the point, now became the "x" value for the transformed point.

So so far we have:  (..., y) transformed into  (y, ...)

now,notice that the value "-6" which was the original x=value for the point, after the transformation appeared in the new "y" position, and with the signed reversed (from -6 into +6), so it became the new x value but with opposite sign.

Then we can complete how the transformation can be represented:

(x, y) is transformed into (y, -x)

This is the last option (option I) in the list of possible answers.

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Solve for x and y:<br>x = <br>y = ​
ICE Princess25 [194]

Answer:

x = 15

y = 21

Step-by-step explanation:

*triangle sum theorem*

(6x - 11)° + (81)° + (x + 5)° = 180°

(7x - 6)° + (81)° = 180°

(7x)° + (75)° = 180°

(7x)° = (105)°

x = 15

________________

*vertical angle theorem* *triangle sum theorem*

(6x - 11)° + (4y - 18)° + (y + 14)° = 180°

^

|

15

(79°) + (4y + y) + (14 - 18)°

_________________________

(79)° + (5y - 4)° = 180°

(5y)° + (75)° = 180°

(5y)° = 105°

y = 21

5 0
2 years ago
The sum of these fractions is between which two whole numbers?
kherson [118]
3 4/6 + 1 3/6 = 4 7/6 = 5 1/7
Therefore the answer is B. the sum is between 5 and 6

Hope that helps
4 0
3 years ago
Read 2 more answers
A manufacturer of Christmas light bulbs knows that 10% of these bulbs are defective. It is known that light bulbs are defective
Inessa05 [86]

Answer:

(a) P(X \leq 20) = 0.9319

(b) Expected number of defective light bulbs = 15

Step-by-step explanation:

We are given that a manufacturer of Christmas light bulbs knows that 10% of these bulbs are defective. It is known that light bulbs are defective independently. A box of 150 bulbs is selected at random.

Firstly, the above situation can be represented through binomial distribution, i.e.;

P(X=r) = \binom{n}{r} p^{r} (1-p)^{2} ;x=0,1,2,3,....

where, n = number of samples taken = 150

            r = number of success

           p = probability of success which in our question is % of bulbs that

                  are defective, i.e. 10%

<em>Now, we can't calculate the required probability using binomial distribution because here n is very large(n > 30), so we will convert this distribution into normal distribution using continuity correction.</em>

So, Let X = No. of defective bulbs in a box

<u>Mean of X</u>, \mu = n \times p = 150 \times 0.10 = 15

<u>Standard deviation of X</u>, \sigma = \sqrt{np(1-p)} = \sqrt{150 \times 0.10 \times (1-0.10)} = 3.7

So, X ~ N(\mu = 15, \sigma^{2} = 3.7^{2})

Now, the z score probability distribution is given by;

                Z = \frac{X-\mu}{\sigma} ~ N(0,1)

(a) Probability that this box will contain at most 20 defective light bulbs is given by = P(X \leq 20) = P(X < 20.5)  ---- using continuity correction

    P(X < 20.5) = P( \frac{X-\mu}{\sigma} < \frac{20.5-15}{3.7} ) = P(Z < 1.49) = 0.9319

(b) Expected number of defective light bulbs found in such boxes, on average is given by = E(X) = n \times p = 150 \times 0.10 = 15.

                                           

5 0
3 years ago
Are the speeds 30 miles per 3 hours and 10 miles per hour the same? <br><br> I need help :( ↑
statuscvo [17]

Answer:

Yes they are the same

Step-by-step explanation:

So we have 10mph, If you stay at that speed for another 2 hours you will reach 30 miles. If you still don't understand please don't hesitate to ask for help.

5 0
2 years ago
Read 2 more answers
What is the value of x to the nearest tenth?
lord [1]

check the picture below.


so x = b + b = √(180) + √(180).

4 0
3 years ago
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