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3 years ago

Write in simple radical form:

Mathematics

1 answer:

WARRIOR [948]3 years ago

7 0

Answer:

The answer to your question is $\frac{2}{3}$

Step-by-step explanation:

Here, there is a difference of squares, so just solve it and simplify

$( 1 + \frac{1}{\sqrt{3} } ) (1 - \frac{1}{\sqrt{3} } )$

Multiply the binomials

= 1 - $\frac{1}{3}$

Simplify

= $\frac{3 - 1}{3}$

= $\frac{2}{3}$

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In a study of 250 adults, the mean heart rate was 70 beats per minute. Assume the population of heart rates is known to be appro

klasskru [66]

This is a good question!

The steps are like follows:

Form the confidence level (99%), we calculate the "alpha" value
alpha=1-(99/100)=0.01

Now, calculate the critical probability (p-start)
p*=1-(alpha/2)=1-(0.01/2)=0.995

z-score could be calculated from p*,,,
z-score=2.57583
(http://www.socscistatistics.com/tests/ztest/zscorecalculator.aspx)

Now, calculate the Margin of Error:
standard deviation = s
number of adults = n

ME=(z*s)/(sqrt n)=(2.57583*12)/(sqrt 250) = 1.955

The confidence interval = mean +or- ME
= 70+1.955 or 70-1.955

So that we can conclude that the 99% confidence interval for the mean beats per minute is 68.045 and 71.955

I hope you got the idea!

If you still need help, just let me know!

4 0

3 years ago

Jamie takes at random a counter from the bag and records the colour. Red : blue : green = 1:3:7 Jamie does this a number of time

Sonbull [250]

Answer: There are 249 times Jamie takes a counter from the bag.

Explanation:

Since we have given that

Ratio of colour of red to blue to green is 1:3:7.

Number of blue counters = 68

Let the total number of times Jamie does from the bag be x.

So, According to question,

$\frac{3}{11}\times x=68\\\\x=\frac{11}{3}\times 68\\\\x=249.33\\\\=249\ approx.$

Hence, there are 249 times Jamie takes a counter from the bag.

8 0

3 years ago

James works in a flower shop.He will put 36 tulips in vases for a wedding.He must use the same number of tulips in each vase.The

katrin [286]

Start with the largest possible of 9 per vase. 36 by 9 is 4 vases. The next highest possible is 6 per vase, 36 by 6 is 6 vases.etc.

6 0

3 years ago

How many times greater is The total area of Russia than the total area of Finland? Finland total area is 3.4 x 10 to the 5th pow

Luden [163]

Answer:

The answer to your question is Russia is 50 times greater than Finland.

Step-by-step explanation:

Data

Finland area = 3.4 x 10⁵ km²

Russia area = 1.7 x 10⁷ km²

Proportion = ?

Process

1.- Just divide the Russia's area by the Finland's area.

Proportion = $\frac{Finland's area}{Russia's area}$

Proportion = $\frac{1.7 x 10^{7} }{3.4 x 10^{5} }$

Porportion = 50

6 0

3 years ago

5x+6y=7 need to find the slope intercept and standard form

Oksi-84 [34.3K]

The problem is already in standard form but to get it into slope intercept form you rewrite the equation so it looks like
6y=-5x+7 divide all by 6
y=-5/6x+7/6
slope being -5/6 and b being 7/6

7 0

3 years ago