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2 years ago

One-half of a number has been increased by 12. The result is at least 28. If n represents the number, which of

Mathematics

2 answers:

Arturiano [62]2 years ago

3 0

Answer:

$\frac{1}{2} n + 12 \geq 28$

HOPE THIS HELPS!!!

Mamont248 [21]2 years ago

3 0

They Person above me is actually correct! Credit to them!

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Which one is linear

Daniel [21]

A because linear means straight line

5 0

3 years ago

Read 2 more answers

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

3 years ago

- A new rectangular lawn has a

disa [49]

The number of bags of grass seed that are needed to seed the new rectangular lawn is approximately 19 bags .

<h3>Perimeter of a rectangle</h3>

The perimeter of a rectangle is the sum of the whole sides of the rectangle.

Therefore,

perimeter of the rectangle = 298 ft

The width is 67 ft.

Hence

perimeter of rectangle = 2(l + w)

where

l = length
w = width

Therefore,

298 = 2 ( l + 67)

298 = 2l + 134

298 - 134 = 2l

164 = 2l

l = 164 / 2

l = 82 ft

Therefore,

area of the rectangle = 82 × 67 = 5494 ft²

285 ft² = 1 bag of grass seed

5494 ft² = ?

cross multiply

number of bag of grass seed to fill the new rectangular lawn = 5494 / 285

number of bag of grass seed to fill the new rectangular lawn = 19.2771929825

learn more on rectangle here: brainly.com/question/16878024

5 0

2 years ago

HELPPPP ME PLZZZZ!!!!!!

mihalych1998 [28]

<h3>Answers:</h3>

14. Each leg is $21\sqrt{2}$ units long.

15 (a). The longer leg is $7\sqrt{3}$ units long

15 (b). The hypotenuse is $14$ units long

=====================================================

Explanations:

For a 45 degree right triangle, aka 45-45-90 triangle, the hypotenuse is equal to sqrt(2) times the short leg. Algebraically we can say

$y = x\sqrt{2}$ where x is the leg and y is the hypotenuse

Let's solve for x

$y = x\sqrt{2}\\\\x\sqrt{2} = y\\\\x = \frac{y}{\sqrt{2}}\\\\x = \frac{y\sqrt{2}}{\sqrt{2}*\sqrt{2}} \ \text{rationalizing denominator}\\\\x = \frac{y\sqrt{2}}{2}\\\\$