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Pani-rosa [81]
3 years ago
13

Nabuko practices the violin at least 12 hours per week. She practices for three-fourths of an hour each session. If Nabuko has a

lready practiced 3 hours in one week, how many sessions remain to meet or exceed her weekly practice goal?
Mathematics
1 answer:
malfutka [58]3 years ago
3 0
Let x be the number of sessions. Then
3/4x ≥ 12
3/4x + 3 ≥ 12
3/4x ≥ 9
x ≥ (9 x 4)/3 = 12

Therefore, 12 sessions remain to meet or exceed her weekly practice goal.
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Jenna has bought a new hybrid car. Each week for a period of seven weeks, she has noted the fuel efficiency (in miles per gallon
Leviafan [203]

Answer: 0.82 miles per gallon

Step-by-step explanation:

Given : Jenna has bought a new hybrid car. Each week for a period of seven weeks, she has noted the fuel efficiency (x) (in miles per gallon) of her car.

The results are :45 44 43 44 45 44 43

The formula to find the standard deviation is given by :-

\sigma=\sqrt{\dfrac{\sum_{i=1}^n(x_i-\overline{x})^2}{n-1}}

First we find mean of the given data ,

\overline{x}=\dfrac{\sum^n_{i=1}x_i}{n}\\\\=\dfrac{45+44+43+44+45+44+43}{7}=\dfrac{308}{7}=44

Now,

{\sum_{i=1}^n(x_i-\overline{x})^2=(1)^2+(0)^2+(-1)^2+(0)^2+(1)^2+(0)^2+(-1)^2

=1+1+1+1=4

Now,  standard deviation of the above results will be :-

\sigma=\sqrt{\dfrac{4}{7-1}}\\\\=\sqrt{\dfrac{4}{6}}\\\\=\dfrac{2}{\sqrt{3}}=0.816496580928\approx0.82

Hence, the standard deviation of these results = 0.82 miles per gallon

8 0
4 years ago
Solve the system of equations.<br><br>x=y−9<br><br><br>8x−y=0<br><br><br>X=?<br><br>Y=?
Nataly [62]

Answer:

X = 9/7

Y = 72/7

Step-by-step explanation:

You need to subtract equation 1 by equation 2 to get rid of y. Then substitute your answer to find y.

3 0
3 years ago
Will give brainliest no files will report.
Alexandra [31]

Answer:

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
3 tons 600 pounds = ? Pounds
vovangra [49]
1 ton= 2,000 pounds

STEP 1:
Multiply number of tons by 2,000 pounds

= 3 tons * 2,000 lbs/ton
= 6,000 lbs


STEP 2:
Add the extra pounds given (600 pounds) to calculated pounds in step 1

= 6,000 lbs + 600 lbs
= 6,600 pounds


ANSWER: 3 tons 600 pounds is equal to 6,600 pounds.

Hope this helps! :)


6 0
3 years ago
​(a) The additive inverse of negative two thirds
LekaFEV [45]
A) The answer to the question is 2/3

b) the answer to the question is 2/3
6 0
4 years ago
Read 2 more answers
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