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vova2212 [387]
3 years ago
7

steven wants to buy a $565 bicycle. Steven has no money saved, but will be able to deposit $30 into a savings account each Frida

y. How ever, before Steven can buy the bike, he has to pay back his sister $65 that he owes her. For how many weeks will Steven need to deposit money into his savings account before he can pay his sister back and buy the bike?
Mathematics
1 answer:
strojnjashka [21]3 years ago
5 0
He will need to deposit the money for 20 weeks
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Lines k and l are parallel and the measure of angle ABC is 22 degrees. Find the measure of the other angles.
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Option B, 22

Step-by-step explanation:

Alternate interior angles are same

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Using scientific notation, what is the solution to (2.82 * 104) * (3.1 * 103)?
MArishka [77]

Answer: Choice A) 8.742 * 10^7

=====================================

Work Shown:

(a * 10^b) \times (c * 10^d) = a*c*10^{b+d}\\\\(2.82 * 10^4) \times (3.1 * 10^3) = 2.82*3.1*10^{4+3}\\\\(2.82 * 10^4) \times (3.1 * 10^3) = 8.742*10^{7}\\\\

Extra info:

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2 years ago
Calculate the sample standard deviation of data from Question 1<br> 76,45,64,80,92
mash [69]

Answer:

S.D = 15.98

Step-by-step explanation:

Given: 76,45,64,80,92

Required: Determine the standard deviation

We start by calculating the mean

Mean = \frac {\sum x}{n}

Where x-> 76,45,64,80,92 and n = 5

Mean = \frac {76+45+64+80+92}{5}

Mean = \frac{357}{5}

Mean = 71.4

Subtract Mean (71.4) from each of the given data

76 - 71.4 = 4.6\\45 - 71.4 = -26.5\\64 - 71.4 = -7.4\\80 - 71.4 = 8.6\\92 - 71.4 = 20.6

Determine the absolute value of the above result

|4.6| = 4.6\\|-26.5| = 26.5\\|-7.4| = 7.4\\|8.6| = 8.6\\|20.6| = 20.6

Square Individual Result

4.6^2 = 21.16 \\26.5^2 = 702.25\\7.4^2 = 54.76\\8.6^2 = 73.96\\20.6^2 = 424.36

Calculate the mean of the above result to give the variance

Mean = \frac {\sum x}{n}

Mean = \frac{21.16 + 702.25 + 54.76 + 73.96 + 424.36}{5}\\Mean = \frac{1276.49}{5}\\Mean = 255.298

Hence, Variance = 255.298

Standard Deviation is calculated by \sqrt{Var}

SD = \sqrt{255.298}

S.D = 15.9780474402

S.D = 15.98 (Approximated)

6 0
3 years ago
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