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3 years ago

Which rational number has the least value?

1 answer:

6 0

A rational number a/b is said to be in the lowest form or simplest form if a and b have no common factor other than 1. In other words, a rational number ab is said to be in the simplest form, if the HCF of a and b is 1, i.e., a and b are relatively prime.

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Jason had three more than four times the amount of money that Jeff has. Together they have $72. How much money does each person

adelina 88 [10]

Answer:

Jason has $58.20 and Jeff has $13.80.

Step-by-step explanation:

Let x represent the amount of money Jason has, and y represent the amount of money Jeff has.

We know that together they have $72. So, we can write the following equation:

$x+y=72$

We know that Jason has three more than four times the amount of money Jeff has. So:

$x=3+4y$

This is a system of equations. We can solve it by using substitution. Let's substitute the second equation into the first. This yields:

$(3+4y)+y=72$

Combine like terms:

$5y+3=72$

Subtract 3 from both sides:

$5y=69$

Divide both sides by 5:

$y=69/5=\$13.80$

So, Jeff has $13.80

We know that Jason has three more than four times the amount of money Jeff has.

Therefore, Jason has:

$x=13.8(4)+3$

Multiply and add:

$x=\$58.20$

So, Jason has $58.20 and Jeff has $13.80.

And we're done!

7 0

3 years ago

Suppose that administrators at a large urban high school want to gain a better understanding of the prevalence of bullying withi

RSB [31]

Answer: $(0.273,\ 0.783)$

Step-by-step explanation:

Given : Total number of students who are asked to complete a survey anonymously : n= 240

Number of students

The proportion report that they have experienced bullying =54

Then , the proportion that students have experienced bullying = $p=\dfrac{54}{240}=0.225$

Significance interval : $\alpha=1-0.95=0.05$

Critical value : $z_{\alpha/2}=1.96$

The confidence interval for the true proportion is given by :-

$p\pm z_{\alpha/2}\sqrt{\dfrac{p(1-p)}{n}}\\\\=0.225\pm (1.96)\sqrt{\dfrac{(0.225)(1-0.225)}{240}}\\\\\approx0.225\pm0.0528\\\\=(0.255-0.528,\ 0.255+0.528)\\\\=(0.273,\ 0.783)$