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3 years ago

? - 20.8 = 41.06 Please help

Mathematics

1 answer:

nevsk [136]3 years ago

4 0

Answer:

61.86

Step-by-step explanation:

41.06+20.8= 61.86

61.86-20.8=41.06

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What is the sum of the geometric series in which a1 = −5, r = 3, and an = −405?

xxMikexx [17]

$a_1=-5;\ r=3;\ a_n=-405\\\\a_n=a_1r^{n-1}\\\\subtitute\\\\-5\cdot3^{n-1}=-405\ \ \ |divide\ both\ sides\ by\ (-5)\\\\3^{n-1}=81\\\\3^{n-1}=3^4\iff n-1=4\to n=5\\\\S_n=\dfrac{a_1(1-r^n)}{1-r}\\\\S_5=\dfrac{-5(1-3^5)}{1-3}=\dfrac{-5(1-243)}{-2}=\dfrac{5\cdot(-242)}{2}=5\cdot(-121)=-605\\\\\\Answer:\boxed{S_5=-605}$

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3 years ago

14:56

pentagon [3]

Answer:

$\dfrac{14}{56}=\dfrac{1}{4}$

Step-by-step explanation:

We need to find an expression that is equivalent to 14:56.

So,

$\dfrac{14}{56}=\dfrac{14}{14\times 4}\\\\=\dfrac{1}{4}$

So, the equivalent expression of the given expression is $\dfrac{1}{4}$ .

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3 years ago

Which sentence correctly describes a data set that follows a normal distribution with a standard deviation of 4 and a mean of 14

denis-greek [22]

Answer:

Option (c) is correct.

68% of the data points lie between 10 and 18.

Step-by-step explanation:

Given : a normal distribution with a standard deviation of 4 and a mean of 14

We have to choose the sentence that correctly describes a data set that follows a normal distribution with a standard deviation of 4 and a mean of 14.

Since, given 68% data.

We know mean of data lies in middle.

And standard deviation is distribute equally about the mean that is 50% of values less than the mean and 50% greater than the mean.

So, 68% of data lies

mean - standard deviation = 14 - 4 = 10

mean + standard deviation = 14 + 4 = 18

So, 68% of the data points lie between 10 and 18.

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3 years ago

Find the selling price of a karaoke machine with a 60.5% markup.

dlinn [17]

Answer:

$99.91

Step-by-step explanation:

If the markup is 60.5%, then the selling price would be 160.5% of the original price.

160.5%=1.605

$62.25*1.605=$99.91125

Since you can't have 0.00125 dollars, lets round to the nearest hundredth.

The selling price is $99.91

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2 years ago

What is tge vertex of f(x) = (x - 6) ^ 2 + 5

Alex777 [14]

Answer:

I beilive it is (6,5)

Step-by-step explanation:

-6 will make it go right and the five will move it up.

6 0

3 years ago