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3 years ago

THIS IS THE FOURTH TIME I'VE ASKED PLEASE ANSWER √(10 + 4 √(6)) not decimal form

Mathematics

1 answer:

nalin [4]3 years ago

5 0

Answer:

$\huge\boxed{\sqrt{10+4\sqrt6}=\sqrt6+2}$

Step-by-step explanation:

$\sqrt{10+4\sqrt6}=\sqrt{6+4+(2)(2)(\sqrt6)}=\sqrt{\underbrace{(\sqrt6)^2}_{=6}+(2)(2)(\sqrt6)+\underbrace{2^2}_{=4}}\\\\\text{use}\ (a+b)^2=a^2+2ab+b^2\\\\=\sqrt{(\sqrt6+2)^2}\\\\\text{use}\ \sqrt{a^2}=|a|\\\\=|\sqrt6+2|=\sqrt6+2$

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A landscaper needs 348 pounds of plant food. He has 114 pounds in his truck, and another 46 pound at his shop.

andrew-mc [135]

Answer:

$\frac{19}{12}\ pounds$

$1\frac{7}{12}\ pounds$

Step-by-step explanation:

<u><em>The correct question is </em></u>

A landscaper needs 3 4/8 pounds of plant food. He has 1 1/4 pounds in his truck, and another 4/6 pound at his shop. How many more pounds of plant food does the landscaper need?

Let

x ----> the additional pounds of plant food needed for the landscaper

we know that

The additional pounds of plant food needed for the landscaper plus the pounds in his truck plus the pounds in his shop must be equal to the total pounds of plant food needed

The linear equation that represent this problem is

$x+1\frac{1}{4}+\frac{4}{6}=3\frac{4}{8}$

Convert mixed number to an improper fractions

$1\frac{1}{4}=1+\frac{1}{4}=\frac{4*1+1}{4}=\frac{5}{4}$

$3\frac{4}{8}=3+\frac{4}{8}=\frac{3*8+4}{8}=\frac{28}{8}=\frac{14}{4}$

Substitute in the expression above

$x+\frac{5}{4}+\frac{4}{6}=\frac{14}{4}$

solve for x

Multiply by (4*6) both sides to remove the fractions

$24x+30+16=84$

Combine like terms left side

$24x+46=84$

subtract 46 both sides

$24x=84-46$

$24x=38$

Divide by 24 both sides

$x=\frac{38}{24}\ pounds$

simplify

$x=\frac{19}{12}\ pounds$

Convert to mixed number

$\frac{19}{12}\ pounds=\frac{12}{12}+\frac{7}{12}=1\frac{7}{12}\ pounds$

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4 years ago

Please answer quickly:

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3 years ago

A. Student study times. A class survey in a large class for first-year college students asked, "About how many hours do you stud

insens350 [35]

Answer:

A. 12.68 - 14.72 hours

B. Normal distribution.

Step-by-step explanation:

Part A

This question is using quantitative data. A 99% confidence interval means that you want to know the range where 99% of the population will be. To find this you have to convert the 99% CI into the z-score which is -2.58SD to + 2.58SD.

Note that the standard deviation(SD) is from the sample, not the population. We still need to find the standard deviation of the population. The formula is:

population SD = $\frac{o}{\sqrt[]{n} }$

Where the o= sample SD = 7.4

n= number of sample = 463

The calculation will be:

population SD = $\frac{o}{\sqrt[]{n} }$

population SD = $\frac{7.4}{\sqrt[]{463} }$ = 0.3951

The bottom limit will be:

Mean - SD * z-score= 13.7 - 0.3951*2.58 = 12.68 hours

The upper limit will be:

Mean + SD * z-score= 13.7 + 0.3951*2.58 =14.72 hours

The 99% CI range will be 12.68 - 14.72 hours

Part B

The table used to convert confidence interval into z-score depends on the distribution type of the data. Most data is classified as normal distributed, a data type that will concentrated at mean and spread equally from the mean. Normal distribution data will look like a bell which make it also called bell curve.

The question tells you that the data is normal distribution, but that doesn't mean every data is normally distributed. There are a lot of other data distribution type so we have to do some tests to know the normality of the data in real-life data.

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3 years ago

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xxTIMURxx [149]

Answer:

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Step-by-step explanation:

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3 years ago