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andreev551 [17]
3 years ago
11

what is the equation to seven less than the product of twice a number is greater than 5 more than the same number

Mathematics
2 answers:
postnew [5]3 years ago
7 0
<span>seven less than (-7) than the product of twice a number (2x) is greater than (>) five more than (+5) the same number (x)

2x-7>x+5
treat the > sign as an equals for now
2x-7=x+5
subtract x from both sides
x-7=5
add 7 to both sides
x=12
put the > sign back in
x>12</span>
amid [387]3 years ago
4 0
Let the number be  x.

Seven less than the product of twice a number :  2x  -  7.
Greater than                                                                  >
5 more than the same number                            :    x + 5

The equation  is:                                            2x - 7   >  x + 5.

That's the answer. But let us just go ahead and solve it.

2x - 7  >  x + 5.
2x - x >  5 + 7       
x  >  12.

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Step-by-step explanation:

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2 years ago
For bone density scores that are normally distributed with a mean of 0 and a standard deviation of​ 1, find the percentage of sc
gogolik [260]

Answer:

a) The percentage of bone density scores that are significantly high is 2.28%

b) The percentage of bone density scores that are significantly low is 2.28%

c) The percentage of bone density scores that are not significant is 95.44%

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

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a. significantly high​ (or at least 2 standard deviations above the​ mean).

This is 1 subtracted by the pvalue of Z = 2.

Z = 2 has a pvalue of 0.9772

1 - 0.9772 = 0.0228

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b. significantly low​ (or at least 2 standard deviations below the​ mean).

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Z = -2 has a pvalue of 0.0228

2.28% of scores are signicantly low.

c. not significant​ (or less than 2 standard deviations away from the​ mean).

pvalue of Z = 2 subtracted by the pvalue of Z = -2.

Z = 2 has a pvalue of 0.9772

Z = -2 has a pvalue of 0.0228

0.9772 - 0.0228 = 0.9544

95.44% of the scores are not significant

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