Arjun had some candy to give to his five

Rama09 [41]

Answer: x=15

Explanation: you can set 2x+100 = 5x+55 because they are corresponding interior angles.

Work:
2x+100 = 5x+55
2x+100-5x = 55
2x-5x = 55-100
-3x = -45
divide by -3 to cancel the negative and get x by itself
x = 15

Hope this helped! :)

5 0

3 years ago

Pls tell me least to greatest 4.5 and 3.9 and 4.258 and 3.75 and 4.256

Darya [45]

3.75, 3.9, 4.256, 4.258, 4.5

So how do you find out? It is really easy.

First you look the the number, we all know 3 is less then 4 so the 3s go first

Then you look the tenths, the choices are 3.75 and 3.9. The tenth 9 and 7, and we all know 7 is less then 9, so 3.75 is the first one, then 3.9.

Now let's look at the 4s. The choices are 4.5, 4.258, and 4.256. The tenths are 5, 2, and 2. 2 is less then 5 so they go before 4.5.

Then we look at the hundredth, the choices are 4.256 and 4.258. Since they have same hundreds, we look at the thousands. They are 6 and 8. 6 is less then 8 so 4.256 go before 4.258.

6 0

4 years ago

Whats the gratest common factor of 125 and 150

babunello [35]

Answer:

The GCF of 125 and 150 is 25.

8 0

3 years ago

Read 2 more answers

Identify the exponential function below. Which of the following is the equation for this graph??

Elena-2011 [213]

Using a graph tool
see the attached figure

<span>let's graph all the cases to verify the answer

case A) f(x)=(3</span><span>^x)-2

case B) </span>f(x)=(4^x)-2

case C) f(x)=4^(x-2)

case D) f(x)=4^(x-2) +2------> this is the solution

the answer is the option D

5 0

4 years ago

A poll was taken of 1000 residents in county. The residents sampled were asked whether they think their local government did a g

prohojiy [21]

Answer:

a) (0.72, 0.78)

Step-by-step explanation:

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

Description in words of the parameter p

$p$ represent the real population proportion of all residents in that county who think their local government did a good job

$\hat p$ represent the estimated proportion of all residents in that county who think their local government did a good job

n=1000 is the sample size required

$z_{\alpha/2}$ represent the critical value for the margin of error

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

Numerical estimate for p

In order to estimate a proportion we use this formula:

$\hat p =\frac{X}{n}$ where X represent the number of people with a characteristic and n the total sample size selected.

$\hat p=\frac{750}{1000}=0.75$ represent the estimated proportion of all residents in that county who think their local government did a good job

Confidence interval

The confidence interval for a proportion is given by this formula

$\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}$

For the 95% confidence interval the value of $\alpha=1-0.95=0.05$ and $\alpha/2=0.025$ , with that value we can find the quantile required for the interval in the normal standard distribution.

$z_{\alpha/2}=1.96$

And replacing into the confidence interval formula we got:

$0.750 - 1.96 \sqrt{\frac{0.75(1-0.75)}{1000}}=0.72$

$0.750 + 1.96 \sqrt{\frac{0.75(1-0.75)}{1000}}=0.78$

And the 95% confidence interval would be given (0.72;0.78).

We are confident at 95% that the true proportion of people who think their local government did a good job is between (0.72;0.78).

a) (0.72, 0.78)

3 0

3 years ago