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3 years ago

What are the correct answers?

Mathematics

1 answer:

Delvig [45]3 years ago

8 0

1. y= -x - 15
2. y= -4x + 1/2
3. y= 2x + 1
4. y= 2/3x + 3
5. y= -1/2x - 4
6. y= -3x + 13

Glad I could help

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Provide reasons for the statements.<br>(Thank you!)

Readme [11.4K]

Answer:

That's great for you. I hope u got your answers

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3 years ago

The table giver you 4 tree's and I forget what the rest said so I am just lazy and took a sreenshot.

ser-zykov [4K]

<h2>Answer:</h2>

The Maple tree.

<h2>Step-by-step explanation:</h2>

The Sycamore is 15 and 2/3 feet tall, which is 15.667 feet.

The Oak is 14 and 3/4 feet tall, which is 14.75 feet.

The Maple is 15 and 3/4 feet tall, which is 15.75 feet.

The Birch is given as 15.72 feet.

Out of these, the tallest is the Maple, which is at 15.75 feet.

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2 years ago

Is (-3,0)a solution to the equation 2x+6y=-6?

sineoko [7]

Answer:

Yes

Step-by-step explanation:

x , y

(-3 , 0)

plug in the numbers

2(-3) + 6(0) = -6

-6 = -6

4 0

3 years ago

A coin is thrown independently 10 times to test the hypothesis that the probability of heads is 0.5 versus the alternative that

mafiozo [28]

Answer:

(a) The significance level of the test is 0.002.

(b) The power of the test is 0.3487.

Step-by-step explanation:

We are given that a coin is thrown independently 10 times to test the hypothesis that the probability of heads is 0.5 versus the alternative that the probability is not 0.5.

The test rejects the null hypothesis if either 0 or 10 heads are observed.

Let p = <u><em>probability of obtaining head.</em></u>

So, Null Hypothesis, $H_0$ : p = 0.5

Alternate Hypothesis, $H_A$ : p $\neq$ 0.5

(a) The significance level of the test which is represented by $\alpha$ is the probability of Type I error.

Type I error states the probability of rejecting the null hypothesis given the fact that the null hypothesis is true.

Here, the probability of rejecting the null hypothesis means we obtain the probability of observing either 0 or 10 heads, that is;

P(Type I error) = $\alpha$

P(X = 0/ $H_0$ is true) + P(X = 10/ $H_0$ is true) = $\alpha$

Also, the event of obtaining heads when a coin is thrown 10 times can be considered as a binomial experiment.

So, X ~ Binom(n = 10, p = 0.5)

P(X = 0/ $H_0$ is true) + P(X = 10/ $H_0$ is true) = $\alpha$

$\binom{10}{0}\times 0.5^{0} \times (1-0.5)^{10-0} +\binom{10}{10}\times 0.5^{10} \times (1-0.5)^{10-10}$ = $\alpha$

$(1\times 1\times 0.5^{10}) +(1 \times 0.5^{10} \times 0.5^{0})$ = $\alpha$

$\alpha$ = 0.0019

So, the significance level of the test is 0.002.

(b) It is stated that the probability of heads is 0.1, and we have to find the power of the test.

Here the Type II error is used which states the probability of accepting the null hypothesis given the fact that the null hypothesis is false.

Also, the power of the test is represented by (1 - $\beta$ ).

So, here, X ~ Binom(n = 10, p = 0.1)

$1-\beta$ = P(X = 0/ $H_0$ is true) + P(X = 10/ $H_0$ is true)

$1-\beta$ = $\binom{10}{0}\times 0.1^{0} \times (1-0.1)^{10-0} +\binom{10}{10}\times 0.1^{10} \times (1-0.1)^{10-10}$

$1-\beta$ = $(1\times 1\times 0.9^{10}) +(1 \times 0.1^{10} \times 0.9^{0})$

$1-\beta$ = 0.3487

Hence, the power of the test is 0.3487.

3 0

3 years ago

What happens when there is a low camber?

ra1l [238]

I really sorry I have to do this I'm in a test I need help

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3 years ago