This a 2 part question. F(x) is the graph shown.

Write three equivalent ratios for 5/45 and 3/5

Tatiana [17]

(Sorry if I'm wrong just taking a shot at it)
For 5/45... 2.5/22.5, 10/90, 20/180. ^
For 3/5... 6/10, 12/20, 24/40 ^

3 0

3 years ago

Been stuck on this one for a while will give brainiest plus this question is worth 20 points im desperate

bulgar [2K]

Answer:

the scale factor is 25, 3000/125 scaled down,

Step-by-step explanation:

you can also explain this with a 25:1 ratio, 25 inches from the original scaled to 1 inch for the photo copy.

7 0

3 years ago

17. Critique Reasoning Lisa used a number line to model 2(3). Does her number line make sense? Explain why or why not. 8-7-6-5-4

timama [110]

Reasoning Criticism Lisa modeled 2 with a number line (3). Her logical number line is -6.

<h3>What is meant by number line?</h3>

A number line is a graphical representation of numbers on a straight line. A number line has numbers that are sequentially placed at equal distances along its length.

It can be extended in any direction indefinitely and is usually represented horizontally. A number line is a horizontal line with mathematical increments spaced evenly.

The numbers on the line will determine how to answer the number on the line. The number's use is determined by the question that goes with it, such as plotting a point.

The number line is a straight line with divisions at equal intervals, similar to a scale.

Therefore, Reasoning Criticism Lisa modeled 2 with a number line (3). Her logical number line is -6.

To learn more about number line, refer to:

brainly.com/question/24644930

#SPJ1

8 0

1 year ago

Simplify the fraction to lowest terms, and enter your answer below as a fraction using the slash mark ( / ) as the fraction bar.

vlabodo [156]

Oh Fractions are always fun to do. The answer should be 11/16

3 0

3 years ago

The number of events is 29, the number of trials is 298, the claimed population proportion is 0.10, and the significance leve

Nina [5.8K]

Answer:

$z=\frac{0.0973 -0.1}{\sqrt{\frac{0.1(1-0.1)}{298}}}=-0.155$

$p_v =2*P(Z$

And we can use excel to find the p value like this: "=2*NORM.DIST(-0.155;0;1;TRUE)"

So the p value obtained was a very high value and using the significance level given $\alpha=0.05$ we have $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the proportion of interest is not significantly different from 0.1 .

Step-by-step explanation:

1) Data given and notation

n=298 represent the random sample taken

X=29 represent the events claimed

$\hat p=\frac{29}{298}=0.0973$ estimated proportion

$p_o=0.1$ 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)

2) Concepts and formulas to use

We need to conduct a hypothesis in order to test the claim that the proportion is 0.1 or no.:

Null hypothesis: $p=0.1$

Alternative hypothesis: $p \neq 0.1$

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 $p_o$ .

3) Calculate the statistic

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

$z=\frac{0.0973 -0.1}{\sqrt{\frac{0.1(1-0.1)}{298}}}=-0.155$

4) 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 next step would be calculate the p value for this test.

Since is a bilateral test the p value would be:

$p_v =2*P(Z$

And we can use excel to find the p value like this: "=2*NORM.DIST(-0.155;0;1;TRUE)"

So the p value obtained was a very high value and using the significance level given $\alpha=0.05$ we have $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the proportion of interest is not significantly different from 0.1 .

We can do the test also in R with the following code:

> prop.test(29,298,p=0.1,alternative = c("two.sided"),conf.level = 1-0.05,correct = FALSE)

7 0

3 years ago