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2 years ago

X^2-10x = −16 solution??

Mathematics

2 answers:

Maru [420]2 years ago

6 0

X^2-10x+16= 0
(x-8)(x-2)=0
x = 8 or 2

adoni [48]2 years ago

6 0

X^2-10x=-16
x^2-2x-8x+16=0
x(x-2)-8(x-2)=0
(x-2)(x-8)
x=2,8

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How is the following data being misrepresented- misusing axes

Yuri [45]

The way the data is misrepresented using axes is that the point of intersection of the x and y axes is supposed to be (0, 0) and not (0, 1600)

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Now, from the given histogram, he has represented the histogram wrongly because at the point of intersection of the x and y axes, that point is supposed to be the origin which will be a coordinate (0, 0).

However, in this case the coordinate is 0, 1600 which is misleading because the y value should be 0.

Read more about Histograms at; brainly.com/question/25983327

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2 years ago

In a recent poll of 3011 adults, 73% said that they use the Internet. A newspaper claims that more than 75% of adults use the In

OverLord2011 [107]

Answer:

$z=\frac{0.73 -0.75}{\sqrt{\frac{0.75(1-0.75)}{3011}}}=-2.534$

$p_v =P(z$

So the p value obtained was a very low value and using the significance level given $\alpha=0.05$ we have $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis.

So then the best option woudl be:

0.0057; reject the null hypothesis

Step-by-step explanation:

Data given and notation

n=2011 represent the random sample taken

$\hat p==0.73$ estimated proportion of adults who use the Internet

$p_o=0.75$ is the value that we want to test

$\alpha=0.05$ represent the significance level

Confidence=95% or 0.95

z would represent the statistic (variable of interest)

$p_v$ represent the p value (variable of interest)

Concepts and formulas to use

We need to conduct a hypothesis in order to test the claim that the true proportion is higher than 0.75.:

Null hypothesis: $p\geq 0.75$

Alternative hypothesis: $p < 0.75$

When we conduct a proportion test we need to use the z statistic, and the is given by:

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

The One-Sample Proportion Test is used to assess whether a population proportion $\hat p$ is significantly different from a hypothesized value $p_o$ .

Calculate the statistic

Since we have all the info requires we can replace in formula (1) like this:

$z=\frac{0.73 -0.75}{\sqrt{\frac{0.75(1-0.75)}{3011}}}=-2.534$

Statistical decision

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.

The significance level provided $\alpha=0.05$ . The next step would be calculate the p value for this test.

Since is a left tailed test the p value would be:

$p_v =P(z$

So the p value obtained was a very low value and using the significance level given $\alpha=0.05$ we have $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis.

So then the best option woudl be:

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3 years ago

Which algebaic expression represents 5 less than twice x

Delvig [45]

Hello there!

Your algebraic expression would be:

2x - 5 , five less than a number (x) twice.

Hope this helps!

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3 years ago