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Free_Kalibri [48]
3 years ago
5

Express the series using sigma notation. 10 + 50 + 250 + 1250.

Mathematics
1 answer:
miskamm [114]3 years ago
8 0
Each next term is being multiplied by 5. Assuming there are only 4 terms to the sum, you have

10+50+250+1250=10\times5^0+10\times5^1+10\times5^2+10\times5^3=\displaystyle\sum_{i=0}^310\times5^i
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Xy - 11 = 5 show the direct variation expalin your reasoning
Vedmedyk [2.9K]
Hey there, Lets solve this one by one 

Firstly, a<span>dd </span>11<span> to both sides 

</span>xy=5+11 
<span>
Now, </span><span>Simplify </span><span>5+11</span><span> to </span><span>16 

</span>xy=16 
<span>
Finally, d</span><span>ivide both sides by variable </span><span>y 

</span>x = 16 /y<span>
</span>
5 0
3 years ago
A study of the career paths of hotel general managers sent questionnaires to an SRS of 160 hotels belonging to major U.S. hotel
otez555 [7]

Answer:

(10.78483, 12.61517)

Step-by-step explanation:

It is given that the genera mangers of few hotels were sent some questionnaires for conducting a study for the career paths in the major hotel chains of the United States.

Number of hotels = 160

Number of response received = 103

The average number of years these general mangers was in their current hotels, $\bar x$ = 11.7 years

Confidence Interval, CI = 0.99

Therefore,

a = 0.01, |Z(0.005)|  (from standard normal table)

∴ 99% of CI =  $\bar x \pm Z \times \frac{s}{\sqrt n}$

                   $= 11.7 \pm 2.58 \times \frac{3.6}{\sqrt {103}}$

                    $(10.78483, 12.61517)$

3 0
3 years ago
List the integers that satisfy both these inequalities, 2x+9 -12
Flura [38]

Answer:

x < -10.5

Step-by-step explanation:

list the integers that satisfy both these inequalities, 2x+9 <-12

Subtract 9 from  both sides;

2x +9 - 9 < -12-9

2x < -21

x < -21/2

x < -10.5

<em>Hence all the integers are values of x less than 10.5</em>

<em></em>

4 0
3 years ago
The sample variance of hourly wages was 10. what is the sample standard deviation?
lapo4ka [179]
<span>Standard deviation is defined as the quantity which expresses by how much the members of a group is different from the mean value for the group.
</span>
The sample standard deviation with a <span>sample variance of hourly wages 10 will be $3.16.

Explanation:

</span><span>The standard deviation is the square root of the variance.
Therefore,
The square root of 10 dollars can be calculated as:

 </span>√10 = $3.16
8 0
3 years ago
If a kitten eats 1/4 cup of food and it’s mom eats 6 times as much food as the kitten how much food did the mom eat?
mariarad [96]

Answer:

The mom ate a cup and a half of food


Step-by-step explanation:


6 0
3 years ago
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