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3 years ago

WILL NAME BRAINLIEST

Mathematics

1 answer:

ehidna [41]3 years ago

7 0

Answer:

The answer for a different question is 5x

Step-by-step explanation:

DONT CHOOSE THIS. youll get wrong

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The position of an open-water swimmer is shown in the graph. The shortest route to the shoreline is one that is perpendicular to

Harman [31]

*attachment contains the omitted graph

Answer:

$y = -\frac{4}{3}x + 9$

Step-by-step explanation:

The equation that represents the path of the swimmer to the shoreline can be represented in the slope-intercept form, given as $y = mx + b$ .

Where,

Slope (m) = the negative reciprocal of the slope of the shoreline, since it is perpendicular to it = ??

y-intercept (b) = ??

Find the slope of the shoreline using, (0, 1) and (4, 4):

$m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{4 - 1}{4 - 0} = \frac{3}{4}$ .

Since the slope of the shoreline is ¾. The slope of the path of the swimmer would be the negative reciprocal of ¾.

The negative reciprocal of ¾ = -⁴/3.

The slope of the swimmer's path = -⁴/3.

Using the coordinate of the point of the swimmer (6, 1), and the slope of the path, we can find b, the y-intercept of the path.

Substitute x = 6, y = 1 and m = -⁴/3 into y = mx + b, to find b.

Thus:

1 = (-⁴/3)(6) + b

1 = -8 + b

Add 8 to both sides

1 + 8 = b

9 = b

b = 9

Substitute m = -⁴/3 and b = 9 into y = mx + b.

✅The equation that represents the path would be:

$y = -\frac{4}{3}x + 9$

8 0

3 years ago

6 glasses of orange juice has 360 calories what is the unit rate calories per glass?

lisabon 2012 [21]

Answer:

Step-by-step explanation:

in order to find the answer you have to divide 360 by 6 . each glass will end up having 60 calories

7 0

3 years ago

Consider the following sets of sample data: A: $30,500, $27,500, $31,200, $24,000, $27,100, $28,600, $39,100, $36,900, $35,000,

Alecsey [184]

Answer:

$CV=0.2$ ---- dataset 1

$CV = 7.2$ --- dataset 2

Step-by-step explanation:

Given

$A: 30500, 27500, 31200, 24000, 27100,28600, 39100, 36900, 35000, 21400, 37900, 27900, 18700,$ $33100$

$B: 4.29, 4.88, 4.34, 4.17, 4.52, 4.80, 3.28, 3.79, 4.84, 4.77, 3.11$

Required

The coefficient of variation of each

Dataset A

Calculate the mean

$\mu = \frac{\sum x}{n}$

$\mu = \frac{30500+ 27500+31200+24000+ 27100+28600+ 39100+ 36900+ 35000+ 21400+ 37900+ 27900+ 18700+33100}{14}$ $\mu = \frac{418900}{14}$

$\mu = 29921.43$

Next, calculate the standard deviation using:

$\sigma = \sqrt{\frac{\sum(x - \mu)^2}{n}}$

So, we have:

$\sigma= \sqrt{\frac{(30500 - 29921.43)^2 +.................+ (18700- 29921.43)^2 + (33100- 29921.43)^2}{13}}$

$\sigma= \sqrt{\frac{487723571.42857}{14}}$

$\sigma= \sqrt{34837397.959184}$

$\sigma= 5902.32$

So, the coefficient of variation is:

$CV=\frac{\sigma}{\mu}$

$CV=\frac{5902.32}{29921.43}$

$CV=0.2$ --- approximated

Dataset B

Calculate the mean

$\mu = \frac{\sum x}{n}$

$\mu = \frac{4.29+ 4.88+ 4.34+ 4.17+ 4.52+ 4.80+ 3.28+ 3.79+ 4.84+ 4.77+ 3.11}{11}$

$\mu = \frac{46.79}{11}$

$\mu = 4.25$

Next, calculate the standard deviation using:

$\sigma = \sqrt{\frac{\sum(x - \mu)^2}{n}}$

$\sigma = \sqrt{\frac{(4.29 - 4.25)^2 + (4.88- 4.25)^2 +.........+ (3.11- 4.25)^2}{11}}$

$\sigma = \sqrt{\frac{3.859}{11}}$

$\sigma = \sqrt{0.35081818181}$

$\sigma = 0.593$

So, the coefficient of variation is:

$CV=\frac{\sigma}{\mu}$

$CV = \frac{4.25}{0.5903}$

$CV = 7.2$ -- approximated

3 0

3 years ago

Which of the following statements correctly describes the items shown below?

ololo11 [35]

Answer:

What are the items

Step-by-step explanation:

5 0

3 years ago

Help me -2 (8 - e) = 2 - e

-BARSIC- [3]

Answer:

e = 6

Step-by-step explanation:

Step 1: Write equation

-2(8 - e) = 2 - e

Step 2: Solve for e

Distribute -2: -16 + 2e = 2 - e
Add e to both sides: -16 + 3e = 2
Add 16 to both sides: 3e = 18
Divide both sides by 3: e = 6

Step 3: Check

Plug in e to verify it's a solution.

-2(8 - 6) = 2 - 6

-2(2) = -4

-4 = -4

3 0

3 years ago