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4 years ago

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Mathematics

1 answer:

Llana [10]4 years ago

6 0

The answer to letter A is 16. The range is the difference between the greatest and smallest number

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If M(x, y) is the midpoint of AB with A(3, 5) and B(-4, 8), then which Quadrant is M located in? (Points : 1) Quadrant I Quadran

Alex Ar [27]

M is located in Quadrant II, the line BD has a midpoint located in Quadrant II, AD has a midpoint at the origin.

8 0

4 years ago

A simple random sample of 20 days in which Parsnip ate seeds was selected, and the mean amount of time it took him to eat the se

bearhunter [10]

Answer:

$(14.5-13.9) -1.69 \sqrt{\frac{3.98^2}{20}+ \frac{4.03^2}{17}} = -1.63$

$(14.5-13.9) +1.69 \sqrt{\frac{3.98^2}{20}+ \frac{4.03^2}{17}} = 2.83$

And the confidence interval for this case $-1.63 \leq \mu_1 -\mu_2 \leq 2.83$

Step-by-step explanation:

We know the following info from the problem

$\bar X_1 = 14.5$ sample mean for the group 1

$s_1 = 3.98$ the standard deviation for the group 1

$n_1= 20$ the sample size for group 1

$\bar X_2 = 13.9$ sample mean for the group 2

$s_1 = 4.03$ the standard deviation for the group 2

$n_2= 17$ the sample size for group 2

We have all the conditions satisifed since we have random samples.

We want to construct a confidence interval for the true difference of means and the correct formula for this case is:

$(\bar X_1 -\bar X_2) \pm t_{\alpha/2}\sqrt{\frac{s^2_1}{n_1} +\frac{s^2_2}{n_2}}$

The degrees of freedom are given :

$df = n_1 +n_2- 2 = 20+17-2=35$

The confidence level is 0.9 or 90% and the significance level is $\alpha=1-0.9=0.1$ and $\alpha/2 = 0.05$ and the critical value for this case is:

$t_{\alpha/2} = 1.69$

And replacing the info given we got:

$(14.5-13.9) -1.69 \sqrt{\frac{3.98^2}{20}+ \frac{4.03^2}{17}} = -1.63$

$(14.5-13.9) +1.69 \sqrt{\frac{3.98^2}{20}+ \frac{4.03^2}{17}} = 2.83$

And the confidence interval for this case $-1.63 \leq \mu_1 -\mu_2 \leq 2.83$

5 0

3 years ago

Dionte needs to make at least $140 over winter break to pay back his parents. If he makes $15 per sidewalk that he shovels for,

lbvjy [14]

15 dollars from 1 sidewalk

140 dollars from ? sidewalks

140/15 =9.333(bar)

Dionte needs to shovel 10 sidewalks

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3 years ago

Tim's phone service charges $24.39 plus an additional $0.24 for each text message sent per month. If Tim's phone bill was $30.39

alex41 [277]

The answer is D - $0.24x + $24.39 = $30.39

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4 years ago

Tommy has a pet monkey. Every day, his monkey eats 4 apples in the morning. The monkey also eats two bananas for every banana th

Licemer1 [7]

Answer:

Step-by-step explanation:

Let x represent the number of bananas that Tommy eats.

Let y represent the total number of pieces of fruit that the monkey eats.

Every day, his monkey eats 4 apples in the morning. The monkey also eats two bananas for every banana that tommy eats. This means that the number of bananas that the monkey eats is 2x. The expression for the total number of fruits eaten by the monkey becomes

y = 2x + 4

4 0

3 years ago

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