Is the following relation a function: {(3,2), (3,-2),(1,-4),(-1,2)}

What is the approximate side length of a game board with an area of 160 in.

timofeeve [1]

Answer:

13 in

Step-by-step explanation:

$\sqrt{a} =160$ ²

Perfect squares close to 160 include 144 and 169

12²=144

13²=169

Now that we can see 160 is closer to 169 rather than 144,

$\sqrt{160}$ ≈ 13 in

Hope this helps! :)

And if possible, please mark my answer brainliest so i can get to the next rank :(

7 0

3 years ago

Tomorrow than 4 times a number is -18

Law Incorporation [45]

Answer: -5

Step-by-step explanation:

im going to assume tomorrow means Two more.....

$2+4x=-18$

brilliant.

lets do opposite calculations to both sides. what is the opposite of 2? negative 2. so lets subtract 2 from both sides.

we get

$4x=-20$

ok so now we have 4 times x. what is the opposite of this? 4 DIVIDED BY x.

ok now lets do the same to the other side. what is negative 20 divided by 4?

$x=-5$

7 0

3 years ago

In recent years more people have been working past the age of 65. In 2005, 27% of people aged 65–69 worked. A recent report from

Taya2010 [7]

Answer:

a) The point estimate of the proportion of people aged 65–69 who are working is p=0.3 or 30%.

b) We can express this null and alternative hypothesis as:

$H_0: \pi=0.27\\H_1:\pi\neq0.27$

c) We conclude that there is not enough evidence that the proportion of people aged 65–69 who are working has increased from 2005.

Step-by-step explanation:

a) Develop a point estimate of the proportion of people aged 65–69 who are working

If we take into account the sample taken, the point estimate is

$p=\frac{180}{600} =0.3$

b) Set up a hypothesis test so that the rejection of h0 will allow you to conclude that theproportion of people aged 65–69 working has increased from 2005

To conclude some claim, we have to reject the null hypothesis. In this case, to claim that the proportion has changed and the mean is no longer 27%, we have to reject the null hypotesis that π=0.27.

We can express this null and alternative hypothesis as:

$H_0: \pi=0.27\\H_1:\pi\neq0.27$

c) Conduct your hypothesis test using α=0.05. What is your conclusion?

First we calculate the standard deviation, as we will need it to calculate the test statistic:

$\sigma=\sqrt{\frac{\pi(1-\pi)}{N} } =\sqrt{\frac{0.27(1-0.27)}{600} }=0.01812$