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Free_Kalibri [48]
3 years ago
7

Five times the difference between a number and four is greater than the quotient of four times the number and six. Find the smal

lest integer that will satisfy the inequality
Mathematics
2 answers:
JulijaS [17]3 years ago
8 0
x-\ number\\\\\
5(x-4)>\frac{4x}{6}\ \ \ | multiply\ by\ 6\\\\
30(x-4)>4x\\\\
30x-120>4x\ \ \ \ | subtract\ 4x\\\\
26x-120>0\ \ \ | add\ 120\\\\
26x>120\ \ \  | divide\ by\ 26\\\\
x>\frac{120}{26}\\\\
x>4\frac{8}{13}
Ray Of Light [21]3 years ago
7 0
5 times (5 times) the differnce (-) a number(x) and 4(4) is greater than (>) the quotient (/) 4 times the nmber (4x) and 6 (6)

5(x-4)>4x/6
5x-20>4x/6
treat > as an equals for nnow
multiply both sides by 6
30x-120>4x
divide both sides by 2
15x-60>2x
add 60 to both sides
15x>2x+60
subtract 2x from both sides
13x>60
divide both sdie sby 13
x>60/13
the smalles tnumber is the next number bigger then 60/13
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Answer:

$65,351+/-$3,661.73

= ( $61,689.27, $69,012.73)

Therefore, the 90% confidence interval (a,b) = ( $61,689.27, $69,012.73)

Step-by-step explanation:

Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.

The confidence interval of a statistical data can be written as.

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Given that;

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Standard deviation r = $7,711

Number of samples n = 12

Confidence interval = 90%

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Substituting the values we have;

$65,351+/-1.645($7,711/√12)

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$65,351+/-$3661.727168905

$65,351+/-$3,661.73

= ( $61,689.27, $69,012.73)

Therefore, the 90% confidence interval (a,b) = ( $61,689.27, $69,012.73)

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