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3 years ago

Determine the solutions to the following systems of linear equations

Mathematics

1 answer:

Afina-wow [57]3 years ago

8 0

Answer: 5: (-2, -1) 6: (0,2)

Step-by-step explanation:

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Help ASAP!!! A cayenne pepper stalk produces 4 peppers without adding fertilizer. The agriculture department establishes that th

LiRa [457]

1. For every ounce of fertilizer 2.5 more pepper pods can be expected.

2. When no fertilizer is added, 4 pepper pods can be expected.

3. 8 pepper pods. Plug in 1.6 for X: y=2.5(1.6)+4=8

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3 years ago

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An acute triangle is always isosceles

devlian [24]

Answer:

No.

Step-by-step explanation:

isosceles triangles are not always acute. An isosceles triangle has two of its sides and internal angles being equal.

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3 years ago

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Shyniyah has $15. For every hour she works, she will earn $8 more. How many hours will she have to work to earn at least $200? G

Dimas [21]

just multiply 8 until you make it to 200 or the closest around 200

8 x 25 = 200

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4 years ago

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Write a recursive rule for the sequence. 7, 6, 13, 19, 32, ...

allsm [11]

Answer:

recursive rule for the given sequence:

$a_n = a_{n-1}+a_{n-2}$ for n > 2

Step-by-step explanation:

Given the sequence:

7, 6, 13, 19, 32, ......

then;

First term $(a_{1})$ = 7

Second term $(a_{2})$ =6

third term $(a_{3})$ = 13 and so on..

You can see that:

$a_3 = a_1+a_2 = 6+7 = 13$

similarly for:

$a_4 = a_2+a_3 = 6+13 = 19$ and so on..

The recursive rule for this sequence is:

$a_n = a_{n-1}+a_{n-2}$ for n > 2

6 0

3 years ago

What is the formula for a confidence interval?

ikadub [295]

Answer:

a) The formula is given by mean $\pm$ the margin of error. Where the margin of error is the product between the critical value from the normal standard distribution at the confidence level selected and the standard deviation for the sample mean.

b) $\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

If the distribution for X is normal or if the sample size is large enough we know that the distribution for the sample mean $\bar X$ is given by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

Part a

The formula is given by mean $\pm$ the margin of error. Where the margin of error is the product between the critical value from the normal standard distribution at the confidence level selected and the standard deviation for the sample mean.

Part b

The confidence interval for the mean is given by the following formula:

$\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$

5 0

4 years ago