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Semenov [28]
3 years ago
15

Simplify : this problem

Mathematics
1 answer:
Nikitich [7]3 years ago
6 0
Answer:
\frac{(7r + 1)(7r - 1)}{7r}
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An investigator thinks that people under the age of forty have vocabularies that are different than those of people over sixty y
Kay [80]

Answer:

t=\frac{(14-20)-0}{\sqrt{\frac{5^2}{31}+\frac{6^2}{31}}}}=-4.28  

Now we can calculate the p value with the following probability:

p_v =2*P(t_{60}  

The p value is a very low value so then we have enough evidence to reject the null hypothesis and we can conclude that people under the age of forty have vocabularies that are different than those of people over sixty years of age.

Step-by-step explanation:

Information given

\bar X_{1}=14 represent the mean for sample 1 (younger)

\bar X_{2}=20 represent the mean for sample 2 (older)  

s_{1}=5 represent the sample standard deviation for 1  

s_{f}=6 represent the sample standard deviation for 2  

n_{1}=31 sample size for the group 2  

n_{2}=31 sample size for the group 2  

t would represent the statistic

System of hypothesis

We want to test if  that people under the age of forty have vocabularies that are different than those of people over sixty years of age, the system of hypothesis are:

Null hypothesis:\mu_{1}-\mu_{2}=0  

Alternative hypothesis:\mu_{1} - \mu_{2}\neq 0  

The statistic is given by:

t=\frac{(\bar X_{1}-\bar X_{2})-\Delta}{\sqrt{\frac{\sigma^2_{1}}{n_{1}}+\frac{\sigma^2_{2}}{n_{2}}}} (1)  

And the degrees of freedom are given by df=n_1 +n_2 -2=31+31-2=60  

Replacing the info given we got:

t=\frac{(14-20)-0}{\sqrt{\frac{5^2}{31}+\frac{6^2}{31}}}}=-4.28  

Now we can calculate the p value with the following probability:

p_v =2*P(t_{60}  

The p value is a very low value so then we have enough evidence to reject the null hypothesis and we can conclude that people under the age of forty have vocabularies that are different than those of people over sixty years of age.

6 0
3 years ago
Taylor baked a cake. Suppose she cut the cake into 8 equal size pieces and 6 people ate all the pieces. Explain how they could h
Karolina [17]
She could've cut the cake into 6 pieces so everyone could have an equal slice of cake or she could've cut it into 12 pieces and everyone could have 2 pieces each equally 

hope this helps :)
5 0
3 years ago
COULD YOU GUYS HELP ME WITH 6 AND 7 PLEASE
d1i1m1o1n [39]

Answer:

<em>Answer</em><em> </em><em>is</em><em> </em><em>given below with explanations</em><em>. </em>

Step-by-step explanation:

type \: 1 \: MSD \: s \: appropriate \: length  :  \\ vessels \: equal \: to \: or \: less \: than \:   \: 65 \:  \\ feet \: in \: length \\ option \: a) \: is \: the \: correct \: answer. \\ type \: 2 \: MSD \: s \: appropriate \: length   \\ vessels \: that \: are \: greater \: than \: 65 \:  \\ feet \: in \: length. \\ note  : Vessels 65 \: feet \:  or  less in length  \\ may use a Type I, II, or III MSD.  \\ Vessels more than 65 feet in length must \\  install a Type II or III MSD.

<em>HAVE </em><em>A NICE DAY</em><em>!</em>

<em>THANKS FOR GIVING ME THE OPPORTUNITY</em><em> </em><em>TO ANSWER YOUR QUESTION</em><em>.</em>

7 0
3 years ago
PLS HELP ME WITH ALL 4! (SHOW WORK!!) + LOTS OF POINTS!!
ICE Princess25 [194]
1:B, 2:A, 3:D, 4:A 
those are the answers
5 0
3 years ago
Lani's mother gave her and her two sisters $21 to spend at the movies. If each girl gets the same amount, how much do they each
kiruha [24]

each sister gets 21 dollars, so there are three sisters there fore 21*3 equals 63

3 0
3 years ago
Read 2 more answers
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