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Andrew [12]
4 years ago
11

What is 3/5 divided by 4/7 divided by 9/10

Mathematics
2 answers:
Vanyuwa [196]4 years ago
4 0
0.00023809523this is 3/5 divided by 4/7 divided by 9/10 in a calculator.

andreyandreev [35.5K]4 years ago
3 0
Hi there! To divide fractions, all you have to do is keep the first fraction, change the division into multiplication, and flip the second fraction over. 3/5 * 7/4 is 21/20. Now, we have to divide again. Repeat the steps. 21/20 * 10/9 is 210/180 or 1 1/6 in mixed number form. There. The quotient for that problem is 1 1/6.
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yanalaym [24]

Answer:lol

Step-by-step explanation:

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7 0
3 years ago
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A dinner bill of 13.37 had 6% added to that total. What was the amount of the tax
yanalaym [24]
All you need to do is multiply 13.37 by the 6% and then Again by 7%.

It would be 13.37 • 1.06 ( The One makes an Increasing Function) Which Equals 14.17. Now Multiply the 14.17 by 1.07 and you'd get 15.16.

If you are just looking for the 6% it would equal 14.17 - 13.37 = 0.80.

That makes the Tax .80 Cents
7 0
4 years ago
US consumers are increasingly using debit cards as a substitute for cash and checks. From a sample of 100 consumers, the average
scoray [572]

Answer:

A. Margin of error = 128.79

B. The 99% confidence interval for the population mean is (7661.21, 7918.79).

Step-by-step explanation:

We have to calculate a 99% confidence interval for the mean.

The population standard deviation is know and is σ=500.

The sample mean is M=7790.

The sample size is N=100.

As σ is known, the standard error of the mean (σM) is calculated as:

\sigma_M=\dfrac{\sigma}{\sqrt{N}}=\dfrac{500}{\sqrt{100}}=\dfrac{500}{10}=50

The z-value for a 99% confidence interval is z=2.576.

The margin of error (MOE) can be calculated as:

MOE=z\cdot \sigma_M=2.576 \cdot 50=128.79

Then, the lower and upper bounds of the confidence interval are:

LL=M-t \cdot s_M = 7790-128.79=7661.21\\\\UL=M+t \cdot s_M = 7790+128.79=7918.79

The 99% confidence interval for the population mean is (7661.21, 7918.79).

8 0
3 years ago
Mean and Standard Deviation of Senior Citizens In the 2010 US Census, we learn that of all people in the US are senior citizens.
cluponka [151]

Answer:

The mean of X is 1.17.

The standard deviation of X is 1.009.

Step-by-step explanation:

<em>The question is incomplete: 1ean and Standard Deviation of Senior Citizens In the 2010 US Census, we learn that of all people in the US </em><em>13% </em><em>are senior citizens. Let the random variable X represent the number of senior citizens in a random sample of 9 people. Find the mean and standard deviation of this random variable. Enter the exact answer for the mean, and round your answer for the standard deviation to three decimal places.</em>

<em />

This variable X can be modeled as a binomial random variable, with n=9 and p=0.13.

The mean of X is:

\mu=np=9*0.13=1.17

The standard deviation of X is:

\sigma=\sqrt{npq}=\sqrt{9*0.13*0.87}=\sqrt{1.0179}=1.009

3 0
3 years ago
F(x)=3x 2 +9f, left parenthesis, x, right parenthesis, equals, 3, x, squared, plus, 9 and g(x)=\dfrac{1}{3}x^2-9g(x)= 3 1 ​ x 2
34kurt

Answer:

f(g(x)) = \frac{1}{3}x^4 - 18x^2 + 252

g(f(x)) = 3x^4 + 18x^2 + 18

<em>f(x) and g(x) and not inverse functions</em>

Step-by-step explanation:

Given

f(x) = 3x^2 + 9

g(x) = \dfrac{1}{3}x^2 - 9

Required

Determine f(g(x))

Determine g(f(x))

Determine if both functions are inverse:

Calculating f(g(x))

f(x) = 3x^2 + 9

f(g(x)) = 3(\frac{1}{3}x^2 - 9)^2 + 9

f(g(x)) = 3(\frac{1}{3}x^2 - 9)(\frac{1}{3}x^2 - 9) + 9

Expand Brackets

f(g(x)) = (x^2 - 27)(\frac{1}{3}x^2 - 9) + 9

f(g(x)) = x^2(\frac{1}{3}x^2 - 9) - 27(\frac{1}{3}x^2 - 9) + 9

f(g(x)) = \frac{1}{3}x^4 - 9x^2 - 9x^2 + 243 + 9

f(g(x)) = \frac{1}{3}x^4 - 18x^2 + 252

Calculating g(f(x))

g(x) = \dfrac{1}{3}x^2 - 9

g(f(x)) = \frac{1}{3}(3x^2 + 9)^2 - 9

g(f(x)) = \frac{1}{3}(3x^2 + 9)(3x^2 + 9) - 9

g(f(x)) = (x^2 + 3)(3x^2 + 9) - 9

Expand Brackets

g(f(x)) = x^2(3x^2 + 9) + 3(3x^2 + 9) - 9

g(f(x)) = 3x^4 + 9x^2 + 9x^2 + 27 - 9

g(f(x)) = 3x^4 + 18x^2 + 18

Checking for inverse functions

f(x) = 3x^2 + 9

Represent f(x) with y

y = 3x^2 + 9

Swap positions of x and y

x = 3y^2 + 9

Subtract 9 from both sides

x - 9 = 3y^2 + 9 - 9

x - 9 = 3y^2

3y^2 = x - 9

Divide through by 3

\frac{3y^2}{3} = \frac{x}{3} - \frac{9}{3}

y^2 = \frac{x}{3} - 3

Take square root of both sides

\sqrt{y^2} = \sqrt{\frac{x}{3} - 3}

y = \sqrt{\frac{x}{3} - 3}

Represent y with g(x)

g(x) = \sqrt{\frac{x}{3} - 3}

Note that the resulting value of g(x) is not the same as g(x) = \dfrac{1}{3}x^2 - 9

<em>Hence, f(x) and g(x) and not inverse functions</em>

4 0
3 years ago
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