Factor:<br> 25y + 27x<br> Plz help

5x + 4y = 20 on a graph

Yakvenalex [24]

Answer:

5x + 4y = 20 on a graph

Step-by-step explanation:

3 0

3 years ago

20x^2-30=4x solve for x

ankoles [38]

Answer:

x=1.3288 or -1.1288

Step-by-step explanation:

Given $20x^{2}-30=4x$

Subtract 4x from both sides

$20x^{2}-4x-30=0$

Since we can factor out 2 from whole equation, let's factor out 2.

$2(10x^{2}-2x-15)=0$

Divide with 2 on both sides

$10x^{2}-2x-15=0$

We got the quadratic equation, we can solve for x using quadratic formula.

$x=\frac{-b\pm\sqrt{b^{2}-4ac} } {2a}$

$x=\frac{2\pm\sqrt{2^{2}-4X10X(-15)} } {2X10}$

$x=\frac{2\pm\sqrt{604} }{20}$

$x=\frac{2\pm2\sqrt{151}}{20}$

$x=1.3288or-1.1288$

8 0

3 years ago

Read 2 more answers

The ratio can depict a part of a whole, or less than 100%. The ratio can also depict more than

charle [14.2K]

Answer:

100% =200

divide both by 100 to find 1%

1%= 2

multiply by 5 to find 5%

5%=10

200=100%

divide both by 200 to find 1

1=0.5%

multiply both by 150 to find percentage

150=75%

3 0

3 years ago

Reduce To Simplest Form.<br><br>-1/4 - (-3/5) =

mihalych1998 [28]

Answer:

Step-by-step explanation:

-1/4 - (-3/5) =

-1/4 + 3/5 =

-5/20 + 12/20 =

7/20 <==

6 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.