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rodikova [14]
3 years ago
5

What is the image of the point (-6,-8) after a rotation of 90° counterclockwise about the origin? ​

Mathematics
1 answer:
k0ka [10]3 years ago
7 0

Answer:

(6,-8)

Step-by-step explanation:

By rotating the point (-6,-8) Counterclockwise you get the point (6,-8)

Hope it helps

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denis-greek [22]
When there is a minus before a parenthesis, you must change the sign of the number(s) inside the parenthesis.

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What is the are of ABC as shown in the accompanying diagram?
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3 years ago
Read 2 more answers
Consider a binomial experiment with n = 4 trials where the probability of success on a single trial is p = 0.25. (For each answe
telo118 [61]

Answer:

(a) \approx 0.32

(b) \approx 0.68

Step-by-step explanation:

It is given that a binomial experiment is carried out.

n = 4 trials

Probability of success, p = 0.25

We know that in a binomial experiment:

Probability of success + Probability of failure = 1

p + q = 1

So, q = 1 - 0.25 = 0.75

Probability of 'r' number of successes in 'n' trials of a binomial experiment is given as:

P(r=x) = _nC_x\times p^x(q)^{n-x}

(a) P(r = 0) = ?

Putting values of x = 0, p and q:

P(r=0) = _4C_0\times (0.25)^0\times (0.75)^{4-0}\\P(r=0) = 1\times 1\times (0.75)^{4}\\P(r=0) \approx 0.32

(b) Find P(r ≥ 1)  = ?

<em>Using complement rule:</em>

<em>P(r =0 ) + P(r ≥ 1)  = 1</em>

0.32 + P(r ≥ 1)  = 1

P(r ≥ 1)  = 1 - 0.32

P(r ≥ 1)  = 0.68

So, the answer are:

(a) \approx 0.32

(b) \approx 0.68

5 0
3 years ago
Sarah and her brother are 6 years apart. Right now, the ratio of their ages is 3:4. How old are both of them right now?
sammy [17]
<h3>Answer:</h3>

Sarah: 18

Brother: 24

<h3>Step-by-step explanation:</h3>

The difference in ratio units is 4-3 =1. The difference in years is 6, so 1 ratio unit stands for 6 years.

Multiplying by 6, we have ...

... Sarah : Brother = 3·6 : 4·6 = 18 : 24

Sarah is 18; her brother is 24.

4 0
4 years ago
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