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Ira Lisetskai [31]
3 years ago
11

Jason is 19 years older than his sister ann. in 14 years he will be twice as old as ann. how old are they now?

Mathematics
2 answers:
yaroslaw [1]3 years ago
3 0
Jason will be 33 years and his sister 16.5 years.
vaieri [72.5K]3 years ago
3 0
Sis will be 14 while brother is 33
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1 --  I
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3 years ago
Determine what type of observational study is described. Explain. Vitamin D is important for the metabolism of calcium and expos
ICE Princess25 [194]

Answer:

thats too long to read but good luck!

Step-by-step explanation:

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
If a,b and c are numbers such that a:b:c = 2:3:5 and b= 30 then, find the sum of a+b+c ?​
ladessa [460]

Answer:

100

Step-by-step explanation:

2:3:5

20:30:50

20 + 30 + 50 = 50 + 50 = 100

3 0
3 years ago
The energy output from a chemical reaction is dependent on the amount of chemicals used.The table shows this relationship.What i
telo118 [61]

Answer:

D

Step-by-step explanation:

You can see from the table that  joules out = 4x moles in

for 32 moles       32 * 4 = 128 joules

6 0
2 years ago
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