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DENIUS [597]
3 years ago
10

Magsis 2 years older than Vector. Which equation will

Mathematics
1 answer:
DaniilM [7]3 years ago
6 0

Answer:v-2=m

Step-by-step explanation:

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Find the acute angle formed by line 2y=x+1​
givi [52]

Answer:

26.57°

Step-by-step explanation:

2y = x + 1 \\ y =  \frac{1}{2} x + 1 \\ equating \: it \: with \\ y = mx + b \\ slope \: m =  \frac{1}{2}  \\  \because \:  \tan \theta = m \\  \therefore \: \tan \theta = \frac{1}{2}  = 0.5 \\ \therefore \:  \theta =  {tan}^{ - 1} (0.5) \\\therefore \:   \theta =  {tan}^{ - 1} ( \tan \: 26.565051177 \degree)  \:  \\  \\  \huge \red{ \boxed{\therefore \:   \theta = 26.57 \degree}}

6 0
3 years ago
The domain of the following relation: R: (3,5), (8,6), (2,1), (8,6) is
V125BC [204]
{1,5,6} this is your answer

5 0
4 years ago
It is known that the population variance equals 484. With a .95 probability, the sample size that needs to be taken if the desir
Ksju [112]

Answer:

We need a sample size of at least 75.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.95}{2} = 0.025

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.025 = 0.975, so z = 1.96

Now, we find the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

The standard deviation is the square root of the variance. So:

\sigma = \sqrt{484} = 22

With a .95 probability, the sample size that needs to be taken if the desired margin of error is 5 or less is

We need a sample size of at least n, in which n is found when M = 5. So

M = z*\frac{\sigma}{\sqrt{n}}

5 = 1.96*\frac{22}{\sqrt{n}}

5\sqrt{n} = 43.12

\sqrt{n} = \frac{43.12}{5}

\sqrt{n} = 8.624

(\sqrt{n})^{2} = (8.624)^{2}

n = 74.4

We need a sample size of at least 75.

6 0
4 years ago
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Margaret is playing a game with a standard deck of 52 cards which contains 4 jacks. The first player to select a jack gets to st
Lelechka [254]

Answer:

Step-by-step explanation:  The theoretical probability that Margaret, when choosing first, will choose a jack, is 1/13.

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5 0
3 years ago
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Which of the following graphs shows a pair of lines that represent the equations with a solution (−2, 5)?
telo118 [61]

Answer:

Substitution.

Step-by-step explanation:

x+y=2

y=-x+2

2x+(-x+2)=4

x=2

(2)+y=2

y=0

Solution: (2,0)

7 0
3 years ago
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