All categories

3 years ago

Find (x,y) such that (8,2)(x,y) = (28,22)

Mathematics

1 answer:

liberstina [14]3 years ago

7 0

Answer:

(x,y) = (3.5, 11)

Step-by-step explanation:

(8,2)(x,y) = (28,22)

Dot product, so:

$(8,2)(x,y) = (8x,2y) = (28,22)$

Then

$8x = 28$

$x = \frac{28}{8} = 3.5$

And

$2y = 22$

$y = \frac{22}{2} = 11$

(x,y) = (3.5, 11)

You might be interested in

For each of the following binomial random variables, specify n and p. (a) A fair die is rolled 50 times. X = number of times a 5

Keith_Richards [23]

Answer:

a) $n = 50, p = \frac{1}{6}$

b) $n = 16, p = \frac{1}{100}$

c) $n = 26, p = 0.25, \mu = 6.5$

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinatios of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And $p$ is the probability of X happening.

(a) A fair die is rolled 50 times. X = number of times a 5 is rolled

The die is rolled 50 times, so $n = 50$ .

Each roll can have 6 outcomes. So the probability that 5 is rolled is $p = \frac{1}{6}$

(b) A company puts a game card in each box of cereal and 1/100 of them are winners. You buy sixteen boxes of cereal, and X = number of times you win.

You buy 16 boxes of cereal, so $n = 16$ .

1 of 100 are winners. So $p = \frac{1}{100}$ .

(c) Jack likes to play computer solitaire and wins about 25% of the time. X = number of games he wins out of his next 26 games.

He plays 26 games, so $n = 26$ .

He wins 25% of the time, so $p = 0.25$

We have that $\mu = np$ . So $\mu = 26*0.25 = 6.5$

6 0

3 years ago

What is the correct answer? Please provide an explanation.

ryzh [129]

Answer:

A 270° rotation about point B'

Step-by-step explanation:

Rotation is clockwise so you can see that the final transformation is a rotation 270° clockwise

4 0

4 years ago

Read 2 more answers

On 15th January, the temperature at place is 20°C. The temperature drops 3 ° each day for 10 days. What is the temperature after

Lady bird [3.3K]

Answer:

3⁰ peach day means 3×10=30+20=50⁰C

7 0

3 years ago

What is the area of this figure? Nearest tenth. Use 3.14 for pi if needed.

stira [4]

Answer:

"I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides"

Step-by-step explanation:

4 0

3 years ago

1. Kelsey has $20 and is saving $6 per week, Janelle has $150 and is spending S4 per week. When will they

denis23 [38]

You have this man keep doing what u doing

3 0

2 years ago