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Alecsey [184]
3 years ago
11

The formula for the sum of an infinite geometric series, S=a1/1-r, may be used to convert

Mathematics
2 answers:
schepotkina [342]3 years ago
7 0

Answer:

  D.  a1=23/100, r=1/100

Step-by-step explanation:

The repeating fraction can be written as the sum ...

0.\overline{23}=0.23+0.0023+0.000023+\dots

The first term is a1 = 0.23 = 23/100, and each successive term is shifted 2 decimal places to the right, so is multiplied by the common ratio r=1/100.

qwelly [4]3 years ago
6 0

Answer:

Step-by-step explanation:

Here, a1 = 0.23 and r = 0.01.  Thus, the sum of this infinite series will be

 a1          0.23          0.23

------- = ------------- = ----------- = 23/99.

1 - r      1 - 1/100      99/100

Check this by dividing 23 by 99 on a calculator.  Result:  0.23232323....

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3. The weights of apples in a shipment from Al's Orchards are normally distributed with a mean of 142 grams and a standard devia
Kamila [148]
The z scores corresponding to the mean weight of a rotten apple relative to the apples from either orchard are, respectively,

\dfrac{142-156}9\approx-1.56

\dfrac{165-156}{13}\approx0.69

The mean for the standard normal distribution is 0, which means that z scores closer to 0 represent data points that are more likely to occur. Therefore it's reasonable to believe that rotten apples occur more often in shipments from Zippy's.
3 0
3 years ago
Write an equation parallel to the line
Schach [20]
The easiest way to find a parallel equation is to write your equation in slope-intercept form. The general equation for slope-intercept form is y = mx + b, where m = the slope of the equation, b = the y intercept, and x and y are your variables.

You're given 5x + 10y = -4. 
1) Move 5x to the right side by subtracting 5x from both sides:
5x + 10y = -4
10y = -5x - 4

2) Divide both sides by 10 to get y by itself on the left. Simplify:
10y = -5x - 4\\
y = - \frac{5}{10} x -  \frac{4}{10} \\
y = - \frac{1}{2}  x -  \frac{2}{5}



<span>Remember that for parallel lines, the slope, m, is the same for both equations. You can make the y-intercept, b, whatever number you want.

When the equation is in slope-intercept form, </span>y = - \frac{1}{2} x - \frac{2}{5}, you can see that m =  - \frac{1}{2}. 

A parallel equation is in the form: 
y = - \frac{1}{2} x + b

Plug in anything you want for b. One example is: y = - \frac{1}{2} x + 3

-------

Answer: y = - \frac{1}{2} x + 3 (just one example)



7 0
3 years ago
Read 2 more answers
Round your answer to the nearest hundredth.
Natali5045456 [20]

Answer:

uh, I think it's 4.13

Step-by-step explanation:

5*sin(65)=4.13 now this seems a bit off but this was the only one that actually worked

5 0
2 years ago
How many pounds of candy worth 70 cents a pound must be mixed with 30 pounds of candy worth 90 cents a pound to produce a mixtur
Svet_ta [14]
<h3>Answer:</h3>

B) 10 pounds

<h3>Explanation:</h3>

Let x represent the amount of 70¢ candy to be added. The value of the mixture can be written as ...

... 90×30 + 70x = 85×(30+x) . . . . . where 30+x is the total weight of the mix

... 2700 +70x = 2550 +85x

... 150 = 15x . . . . . . add -70x-2550

... 10 = x . . . . . . . . . divide by the coefficient of x

10 pounds of candy at 70¢/lb must be added.

5 0
3 years ago
By how much does the dependent variable change in response to a change of 1 unit of the independent variable?
dalvyx [7]

Answer: C) 5

--------------

x = independent variable, y = dependent variable

Assuming this is a linear function, each increase of x by 2 leads to y going up by 10. So 10/2 = 5 is the unit increase each time x bumps up by 1.

-------------------

An alternative is to use the slope formula to get

m = (y2 - y1)/(x2 - x1)

m = (25 - 15)/(4 - 2)

m = 10/2 <--- this expression shows up again

m = 5 <---- leading to the same answer as before

So we see that the slope formula is a more drawn out method to finding the answer.

6 0
3 years ago
Read 2 more answers
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