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Find the quotient of 3/5 and 2/3

vaieri [72.5K]

Answer:

The quotient of 3/5 and 2/3 is 9/10 in fraction and 0.9 in decimal.

4 0

3 years ago

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Professor Jennings claims that only 35% of the students at Flora College work while attending school. Dean Renata thinks that th

lisov135 [29]

Answer:

$z=\frac{0.462 -0.35}{\sqrt{\frac{0.35(1-0.35)}{78}}}=2.074$

Now we can calculate the p value with this probability:

$p_v =P(z>2.074)=0.019$

If we use a significance level os 0.05 we see that the p value is lower than the significance level so then we can conclude that the true proportion of students with jobs is higher than 0.35 for this case. If we decrease the significance level to 1% the result changes otherwise not.

Step-by-step explanation:

Information given

n=78 represent the random sample taken

X=36 represent the students with jobs

$\hat p=\frac{36}{78}=0.462$ estimated proportion of students with jobs

$p_o=0.35$ is the value that we want to test

z would represent the statistic

$p_v$ represent the p value

Hypothesis to test

We want to test if the proportion of students with jobs is higher than 0.35, the system of hypothesis are:

Null hypothesis: $p \leq 0.35$

Alternative hypothesis: $p > 0.35$

The statistic is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

Replacing the info we got:

$z=\frac{0.462 -0.35}{\sqrt{\frac{0.35(1-0.35)}{78}}}=2.074$

Now we can calculate the p value with this probability:

$p_v =P(z>2.074)=0.019$

If we use a significance level os 0.05 we see that the p value is lower than the significance level so then we can conclude that the true proportion of students with jobs is higher than 0.35 for this case. If we decrease the significance level to 1% the result changes otherwise not.

5 0

4 years ago

How do I find 45% of 320 by multiplying?

Juliette [100K]

1. We assume, that the number 320 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for. 
3. If 320 is 100%, so we can write it down as 320=100%. 
4. We know, that x is 45% of the output value, so we can write it down as x=45%. 
5. Now we have two simple equations:
1) 320=100%
2) x=45%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
320/x=100%/45%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 45% of 320

320/x=100/45
(320/x)*x=(100/45)*x - we multiply both sides of the equation by x
320=2.22222222222*x - we divide both sides of the equation by (2.22222222222) to get x
320/2.22222222222=x 
144=x 
x=144

now we have: 
45% of 320=144

7 0

3 years ago

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Consider the recorded transactions below.E M1. Accounts Recendh...-..._._____. 8.400Service Revenue......-...______. 8.4002. Sup

amm1812

Answer:

answer is present in the attachment

Step-by-step explanation:

you have misquoted the amounts for the opening balances of Supplies and Deferred Revenue. I checked the internet for the right amounts and those are $400 for Supplies and $300 for Deferred Revenue. I have attached a picture to answer your question. Please find the attachment with the name "Answer".

However, I have also solved the question with the amounts that you provided and have attached a picture for it with the name "Answer 2".

3 0

3 years ago

Greetings. As a beginner, I'm struggling a bit to learn calculus. May I know what is the derivative of x to the power 4 step by

elena-14-01-66 [18.8K]

If you're just starting calculus, perhaps you're asking about using the definition of the derivative to differentiate $x^4$ .

We have

$\dfrac{d}{dx} x^4 = \displaystyle \lim_{h\to0} \frac{(x+h)^4 - x^4}h$

Expand the numerator using the binomial theorem, then simplify and compute the limit.

$\dfrac{d}{dx} x^4 = \displaystyle \lim_{h\to0} \frac{(x^4+4hx^3 + 6h^2x^2 + 4h^3x + h^4) - x^4}h \\\\ ~~~~~~~~ = \lim_{h\to0} \frac{4hx^3 + 6h^2x^2 + 4h^3x + h^4}h \\\\ ~~~~~~~~ = \lim_{h\to0} (4x^3 + 6hx^2 + 4h^2x + h^3) = \boxed{4x^3}$

In general, the derivative of a power function $f(x) = x^n$ is $\frac{df}{dx} = nx^{n-1}$ . (This is the aptly-named "power rule" for differentiation.)

3 0

2 years ago