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4 years ago

What is the distance, rounded to the nearest tenth, between the points (2,-2) and (6, 3)? Enter the answer in the box.

Mathematics

2 answers:

Marina CMI [18]4 years ago

8 0

Answer:

d = 6.4

Step-by-step explanation:

We can use the distance formula

d =sqrt( ( y2-y1)^2 + ( x2-x1) ^2)

d =sqrt( (3 - -2)^2 + (6-2) ^2)

d =sqrt( (5)^2 + (4) ^2)

d =sqrt( 25 + 16)

d = sqrt( 41)

d =6.403124237

Rounded to the nearest tenth

d = 6.4

vovikov84 [41]4 years ago

6 0

Using the distance formula:

Distance = sqrt((x2-x1)^2 + (y2-y1)^2)

Distance = sqrt((6-2)^2 + ( 3- -2)^2)

Distance = sqrt(4^2 + 5^2)

Distance = sqrt(16+ 25)

Distance = sqrt(41)

Distance = 6.4

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As a follow-up to a report on gas consumption, a consumer group conducted a study of SUV owners to estimate the mean mileage f

kondor19780726 [428]

Answer:

The 95% confidence interval estimate for the mean highway mileage for SUVs is (18.29mpg, 20.91mpg).

Step-by-step explanation:

Our sample size is 96.

The first step to solve this problem is finding our degrees of freedom, that is, the sample size subtracted by 1. So

$df = 96-1 = 95$

Then, we need to subtract one by the confidence level $\alpha$ and divide by 2. So:

$\frac{1-0.95}{2} = \frac{0.05}{2} = 0.025$

Now, we need our answers from both steps above to find a value T in the t-distribution table. So, with 95 and 0.025 in the t-distribution table, we have $T = 1.9855$ .

Now, we find the standard deviation of the sample. This is the division of the standard deviation by the square root of the sample size. So

$s = \frac{5.6}{\sqrt{96}} = 0.57$

Now, we multiply T and s

$M = T*s = 1.9855*0.57 = 1.31$

For the lower end of the interval, we subtract the mean by M. So $19.6 - 1.31 = 18.29$

For the upper end of the interval, we add the mean to M. So $19.6 + 1.31 = 20.91$

The 95% confidence interval estimate for the mean highway mileage for SUVs is (18.29mpg, 20.91mpg).

8 0

4 years ago

What number belongs in the blank space below in the rececive formula??

Lina20 [59]

D
is the answer because 6 is lonely but on new equation 13 and 6 disspapeared so the added answer is 19 which is letter D.

3 0

3 years ago

Sort each description of data into the appropriate category.

Alex787 [66]

Answer:

Step-by-step explanation:

Qualitative:

Eye colour

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3 years ago

Read 2 more answers

If (2 − 3i) + (x + yi) = 6, what is x + yi?

Soloha48 [4]

(2 − 3i) + (x + yi) = 6

We add the left hand side

(2+x) + (-3+y)i = 6

6 can be written in a+ib

6 can be written as 6 + 0i

(2+x) + (-3+y)i = 6 +0i

Now we frame 2 equations

2 + x= 6

-3 + y =0

Solve the first equation

2 + x = 6

Subtract 2 from both sides

x = 4

solve the second equation

-3 + y =0

Add 3 on both sides

y= 3

So x+yi is 4+3i

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3 years ago

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