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ss7ja [257]
3 years ago
8

Find the nth term of this sequence 3 , 8 . 15 . 24 , 35

Mathematics
1 answer:
Hitman42 [59]3 years ago
7 0
I’m guessing those were all meant to be commas
The pattern is adding 5,7,9,11,13,15,17,19,21

35+13= 47 47+15=62 62+17=79 79+19=98 98+21= 119

So therefore the next numbers will be
47, 62, 79, 98, 119

Final answer is that the 9th term will be 119
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Let n1equals50​, Upper X 1equals30​, n2equals50​, and Upper X 2equals10. Complete parts​ (a) and​ (b) below. a. At the 0.05 leve
Viefleur [7K]

Answer:

Null hypothesis:p_{1} = p_{2}  

Alternative hypothesis:p_{1} \neq p_{2}  

z=\frac{0.6-0.2}{\sqrt{0.4(1-0.4)(\frac{1}{50}+\frac{1}{50})}}=4.082    

p_v =2*P(Z>4.082)=4.46x10^{-5}  

So the p value is a very low value and using any significance level for example \alpha=0.05 always p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can say the the proportion 1 is significantly different from proportion 2.

Step-by-step explanation:

1) Data given and notation  

X_{1}=30 represent the number of people with a characteristic in 1

X_{2}=10 represent the number of people with a characteristic in 2

n_{1}=50 sample of 1 selected  

n_{2}=50 sample of 2 selected  

p_{1}=\frac{30}{50}=0.6 represent the proportion of people with a characteristic in 1

p_{2}=\frac{10}{50}=0.2 represent the proportion of people with a characteristic in 2

z would represent the statistic (variable of interest)  

p_v represent the value for the test (variable of interest)  

2) Concepts and formulas to use  

We need to conduct a hypothesis in order to check if the proportion 1 is different from proportion 2 , the system of hypothesis would be:  

Null hypothesis:p_{1} = p_{2}  

Alternative hypothesis:p_{1} \neq p_{2}  

We need to apply a z test to compare proportions, and the statistic is given by:  

z=\frac{p_{1}-p_{2}}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{1}}+\frac{1}{n_{2}})}}   (1)  

Where \hat p=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{30+10}{50+50}=0.4  

3) Calculate the statistic  

Replacing in formula (1) the values obtained we got this:  

z=\frac{0.6-0.2}{\sqrt{0.4(1-0.4)(\frac{1}{50}+\frac{1}{50})}}=4.082    

4) Statistical decision

For this case we don't have a significance level provided \alpha, but we can calculate the p value for this test.    

Since is a two sided test the p value would be:  

p_v =2*P(Z>4.082)=4.46x10^{-5}  

So the p value is a very low value and using any significance level for example \alpha=0.05 always p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can say the the proportion 1 is significantly different from proportion 2.  

3 0
3 years ago
Solve the systems of equations through elimination, show work<br> 3+2x-y=0<br> -3-7y=10x
Wittaler [7]

Answer: x=-1 y=1

Step-by-step explanation:

solve y in 3+2x-y=0

y=3+2x

sub y=3+2x into -3 -7y=10x

-14x- 24= 10x

solve x in -14x-24=10x

x= -1

sub x= -1 into y =3+2x

y=1

so therefore x= -1 and y=1

7 0
2 years ago
The pH level of a solution measures how acidic or basic the solution is. Values between 0 and 7 are considered acidic while valu
Furkat [3]

Answer:

  about 2.47

Step-by-step explanation:

Your calculator will tell you ...

  -\log{(3.4\times 10^{-3})}\approx 2.4685\approx\bf{2.47}

4 0
3 years ago
Can someone help please!!!!!
a_sh-v [17]
Your answer is A. Jake paid $49,869 for the cabin
6 0
3 years ago
Read 2 more answers
Help me plz these are my last points and my las try the answer i did said its wrong
irga5000 [103]

Answer:

b=8h, not 8/h

tell me if it help

4 0
2 years ago
Read 2 more answers
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