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katovenus [111]
3 years ago
5

9 divided by blank equals 5/9 what is the blank?

Mathematics
1 answer:
My name is Ann [436]3 years ago
5 0

Answer:

16.2

Step-by-step explanation:

Let x be the blank.

Therefore, \frac{9}{x} = \frac{5}{9}

By cross-multiplying 9 by 9 and x by 5, we get

5x = 81

Therefore,

x = \frac{81}{5} = 16.2

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bazaltina [42]
314.159 and 5 radius r
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3 years ago
Read 2 more answers
One number is nine more than a second number. Four times the first is 6 less than 2 times the second. Find the numbers.
Masteriza [31]

9514 1404 393

Answer:

  -12, -21

Step-by-step explanation:

Let x represent the first number. Then the second is x-9. The other relation is ...

  4x = 2(x-9) -6

  2x = -24 . . . . . subtract 2x, simplify

  x = -12

  x-9 = -21

The first number is -12; the second number is -21.

6 0
3 years ago
Suppose that a standardized biology exam has a mean score of 80% correct, with a standard deviation of 3. The school administrat
NemiM [27]

Answer:

The 99% confidence interval is between 62.36%(lower bound) and 89.64%(upper bound).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

A sample of 65 students from the freshmen class is used and a mean score of 76% correct is obtained.

This means that n = 65, \pi = 0.76

99% confidence level

So \alpha = 0.005, z is the value of Z that has a pvalue of 1 - \frac{0.005}{2} = 0.995, so Z = 2.575.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.76 - 2.575\sqrt{\frac{0.76*0.24}{65}} = 0.6236

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.76 + 2.575\sqrt{\frac{0.76*0.24}{65}} = 0.8964

0.6236*100 = 62.36%

0.8964*100 = 89.64%

The 99% confidence interval is between 62.36%(lower bound) and 89.64%(upper bound).

6 0
3 years ago
How do i expand 4(3x 5)?
Sloan [31]
4(3x 5) multiply everything by 4 12x+20
3 0
3 years ago
For this problem what I did was that I multiplied 100 x 34 = 3,400 and subtracted that answer with 5,086. The answer I got was 1
inessss [21]

Answer:

The answer rounded to the nearest whole number is 1729

Step-by-step explanation:

Set it up like this:  Percent in fraction form = x over total

So:  34/100  = x/5086

You then multiply:   34 x 5086 = 172924

Then divided that number by 100:   172924 divided by 100 = 1729.24

Then round the number to the nearest whole number:   1729

Hope this helps good luck!

3 0
3 years ago
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