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4 years ago

Find the value of x and y.

Mathematics

2 answers:

Hunter-Best [27]4 years ago

7 0

2x + 7 = 3x - 7
3x - 2x = 7 + 7
x = 14

2x + 7 + 12y + 1 = 180
2(14) + 12y + 8 = 180
28 + 12y + 8 = 180
36 + 12y = 180
12y = 180 - 36 = 144
y = 144/12 = 12

x = 14, y = 12

tiny-mole [99]4 years ago

7 0

the answer is x=15, y=12

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3 years ago

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4 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 $\sqrt{Var}$

$SD = \sqrt{255.298}$

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$S.D = 15.98 (Approximated)$

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4 years ago

6th grade math help me, please :))

Gelneren [198K]

Answer:

$\sf a) \ 2.5\\b) \ 7.5$

Step-by-step explanation:

$\displaystyle \frac{250}{100}$

$\sf Express \ as \ a \ decimal.$

$=2.5$

$\sf Multiply \ 3\% \ with \ 250.$

$\displaystyle 250 \times \frac{3}{100}$

$\displaystyle \frac{750}{100}=7.5$

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3 years ago

Round 3184.5641 to the nearest hundred

Sonja [21]

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4 years ago