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Allushta [10]
3 years ago
10

The statement​ the sum of x and 7​% of x is at least 30​"

Mathematics
1 answer:
tigry1 [53]3 years ago
5 0

Answer:

  x + 0.07x ≥ 30

Step-by-step explanation:

A sum is terms separated by a plus sign.

"Is at least" means "is greater than or equal to."

7% as a decimal fraction is 0.07.

"Of" means "times."

__

In consideration of the above, you have ...

  x  plus  7% of x  is at least  30

  x  +  0.07x  ≥  30 . . . . . using math symbols

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Suppose that IQ scores have a bell-shaped distribution with a mean of 95 and a standard deviation of 15. Using the empirical rul
professor190 [17]

Answer:

2.5% of IQ scores are no more than 65

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 95

Standard deviation = 15

Using the empirical rule, what percentage of IQ scores are no more than 65?

65 = 95 - 2*15

So 65 is two standard deviations below the mean.

By the Empirical Rule, 95% of the measures are within 2 standard deviation of the mean. Of those 5% which are not, 2.5% are more than 2 standard deviations above the mean and 2.5% are more than 2 standard deviations below the mean.

So 2.5% of IQ scores are no more than 65

3 0
3 years ago
Solve for x: 3 over 3 x plus 1 over quantity x plus 4 equals 10 over 7x .
harina [27]
  3              1                   10
------ + --------------- =  ----------
 3x          x +4                 7x

      1            1                 10
    ------ + ------------ =  ----------
      x          x +4               7x


       x + 4 + x           10               
   ------------------ =  ----------
       x(x +4)             7x

       2x + 4                10               
 ------------------ =  ----------
       x(x +4)                7x

    7x(2x + 4) = 10x(x+4)
  
  14x^2 + 28x = 10x^2 + 40x

  4x^2  - 12x = 0
  4x(x - 3) = 0
  4x = 0
    x = 0
 x - 3 = 0
      x = 3

answer x = 0 and x = 3




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An article bought for rupees 350 is sold at a profit of 20% find its selling price​
Mice21 [21]

Answer:

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Step-by-step explanation:

20 percent of 350 is 70, so adding that on will give us the price it is sold at for profit of 70 (20%).

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