9÷1000000000000000000000000000000000

Help me find three different ratios that are equivalent to 3:11!! I need a explanation too!

SVEN [57.7K]

You can do
3 * 2 and 11 * 2 which would be 6:22 and is still equal to the ratio 3:11. Your explanation can be the when divided by 2 or the number you multiplied by, you would get the original ratio
Examples:
6:22
9:33
12:44

8 0

2 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

Which choice is equal to the fraction below? 8/9 A. 0.888888.... B. 0.8 C. 0.888

77julia77 [94]

Answer:

8/9 becauseits a fraction

3 0

3 years ago

A dog buried 18 bones in his backyard. On Monday, he dug up 1/2 of his bones. On Tuesday, he dug up another 1/3 of his bones. Ho

Korolek [52]

Answer:

3

Step-by-step explanation:

A dog buried 18 bones

On Monday he dug up 1/2 of the bones

On Tuesday he dug up 1/3 of the bones

= 1/2 × 18

= 9

= 1/3×18

= 6

Therefore the remaining bones still buried in the ground can be calculated as follows

= 9+6

= 15

= 18-15

= 3

Hence 3 bones are still buried in the ground

5 0

3 years ago

Match each equation to the line of best fit that it models.

egoroff_w [7]

By applying concepts of linear functions, the graphs are related to the following expressions:

(4/7) · x + 2
x + 2
(1/7) · x + 2
- (1/7) · x + 2
- x + 2

<h3>How to match a line with a given linear function</h3>

Graphically speaking, lines are described by linear functions, a kind of polynomials of grade 1, whose standard form is presented below:

y = m · x + b (1)

Where:

x - Independent variable
y - Dependent variable
m - Slope
b - Intercept

Please notice that the slope is represented graphically by the change in the y-variable divided by the change in the x-variable and the intercept is the location where the line passes through the y-axis. Hence, the resulting expressions are shown in this order:

(4/7) · x + 2
x + 2
(1/7) · x + 2
- (1/7) · x + 2
- x + 2

To learn more on linear functions: brainly.com/question/9330192

#SPJ1

6 0

2 years ago