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xxMikexx [17]
3 years ago
9

What is the value of x? The polygons in each pair similar ( please help)

Mathematics
1 answer:
fomenos3 years ago
7 0
I think it’s 9. 40/8 is 5. 30/5 is 6
9-3 is 6
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A phone manufacturer wants to compete in the touch screen phone market. Management understands that the leading product has a le
frutty [35]

Answer:

a) Null hypothesis:\mu_{1} - \mu_{2} \leq 120

Alternative hypothesis:\mu_{1} - \mu_{2}>120

b) Calculate the statistic

We can replace in formula (1) the info given like this:

t=\frac{(485-340)-120}{\sqrt{\frac{55^2}{100}+\frac{30^2}{120}}}}=4.0689  

c) Critical value

The first step is calculate the degrees of freedom, on this case:

df=n_{1}+n_{2}-2=100+120-2=218

The significance level on this case is 0.05 or 5% so we need to find a quantile on the t distribution with 218 degrees of freedom that accumulates 0.95 of the area on the left and 0.05 of the area on the right tail and this value can be founded with the following excel code: "=T.INV(1-0.05,218)" and we got:

t_{crit}= 1.652

Conclusion

Since our calculated value is higher than the critical value we have enough evidence to reject the null hypothesis at 5% of significance and then we can conclude that the new product has a battery life more than two hours (120 minutes) longer than the leading product

Step-by-step explanation:

Data given and notation

\bar X_{1}= 8*60 +5 =485 represent the mean for the new sample

\bar X_{2}=5*60+40=340 represent the mean for the old sample

s_{1}=55 represent the sample standard deviation for the new sample

s_{2}=30 represent the sample standard deviation for the old sample

n_{1}=100 sample size selected for the new sample

n_{2}=120 sample size selected for the old sample

\alpha=0.05 represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

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

a) State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the new product has a battery life more than two hours longer than the leading product., the system of hypothesis would be:

Null hypothesis:\mu_{1} - \mu_{2} \leq 120

Alternative hypothesis:\mu_{1} - \mu_{2}>120

If we analyze the size for the samples both are higher than 30 but we don't know the population deviations so for this case is better apply a t test to compare means, and the statistic is given by:

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

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other".

b) Calculate the statistic

We can replace in formula (1) the info given like this:

t=\frac{(485-340)-120}{\sqrt{\frac{55^2}{100}+\frac{30^2}{120}}}}=4.0689  

c) Critical value

The first step is calculate the degrees of freedom, on this case:

df=n_{1}+n_{2}-2=100+120-2=218

The significance level on this case is 0.05 or 5% so we need to find a quantile on the t distribution with 218 degrees of freedom that accumulates 0.95 of the area on the left and 0.05 of the area on the right tail and this value can be founded with the following excel code: "=T.INV(1-0.05,218)" and we got:

t_{crit}= 1.652

Conclusion

Since our calculated value is higher than the critical value we have enough evidence to reject the null hypothesis at 5% of significance and then we can conclude that the new product has a battery life more than two hours (120 minutes) longer than the leading product

7 0
2 years ago
Barry and Leila decided to have a contest to find who could read more per week. Barry read for hours and Leila read for hours. H
natita [175]

Answer:

see i wanted to exit but it doesn'tlet me

Step-by-step explanation:

7 0
3 years ago
Find the total surface area of the following cone. Leave your answer in terms of Pi. 4cm 3cm
castortr0y [4]

The triangle formed from the height of the cone and the radius of its base is a special 3,4,5 triangle. The slant height is 5cm.

Recall that the area of a circle = pi*r^2

Substitute 3 in for r

Area = pi * (3)^2 = 9pi

SA = pi*r*l + B

Substitute our values into the equation

SA = pi * 3 * 5 + 9pi

SA = 15pi + 9pi

SA = 24pi cm^2

5 0
2 years ago
2. Karen was cutting out some fabric
solmaris [256]

Answer:

42 cm .

l hope it maybe helps

6 0
3 years ago
Read 2 more answers
Write the expression in standard form. -2(8m + 3)​
Artist 52 [7]

Answer:

-16m-6

Step-by-step explanation:

use distributive property, you get -16m-6

I hope this helped, and if my answer was right, please mark this as brainliest! Thank you!

4 0
3 years ago
Read 2 more answers
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