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3 years ago

14

The data set represents the number of snails that each person counted on a walk after a rainstorm. 12, 13, 22, 16, 6, 10, 13, 14

, 12
The outlier of the data set is what?

2 answers:

Pachacha [2.7K]3 years ago

8 0

The outlier of the data set is 22

hope this helps!!

shtirl [24]3 years ago

5 0

22 is the outlier of the set.<span />

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You are a lifeguard and spot a drowning child 60 meters along the shore and 40 meters from the shore to the child. You run along

sukhopar [10]

Answer:

The lifeguard should run across the shore a distance of 48.074 m before jumpng into the water in order to minimize the time to reach the child.

Step-by-step explanation:

This is a problem of optimization.

We have to minimize the time it takes for the lifeguard to reach the child.

The time can be calculated by dividing the distance by the speed for each section.

The distance in the shore and in the water depends on when the lifeguard gets in the water. We use the variable x to model this, as seen in the picture attached.

Then, the distance in the shore is d_b=x and the distance swimming can be calculated using the Pithagorean theorem:

$d_s^2=(60-x)^2+40^2=60^2-120x+x^2+40^2=x^2-120x+5200\\\\d_s=\sqrt{x^2-120x+5200}$

Then, the time (speed divided by distance) is:

$t=d_b/v_b+d_s/v_s\\\\t=x/4+\sqrt{x^2-120x+5200}/1.1$

To optimize this function we have to derive and equal to zero:

$\dfrac{dt}{dx}=\dfrac{1}{4}+\dfrac{1}{1.1}(\dfrac{1}{2})\dfrac{2x-120}{\sqrt{x^2-120x+5200}} \\\\\\\dfrac{dt}{dx}=\dfrac{1}{4} +\dfrac{1}{1.1} \dfrac{x-60}{\sqrt{x^2-120x+5200}} =0\\\\\\ \dfrac{x-60}{\sqrt{x^2-120x+5200}} =\dfrac{1.1}{4}=\dfrac{2}{7}\\\\\\ x-60=\dfrac{2}{7}\sqrt{x^2-120x+5200}\\\\\\(x-60)^2=\dfrac{2^2}{7^2}(x^2-120x+5200)\\\\\\(x-60)^2=\dfrac{4}{49}[(x-60)^2+40^2]\\\\\\(1-4/49)(x-60)^2=4*40^2/49=6400/49\\\\(45/49)(x-60)^2=6400/49\\\\45(x-60)^2=6400\\\\$

$x$

As $d_b=x$ , the lifeguard should run across the shore a distance of 48.074 m before jumpng into the water in order to minimize the time to reach the child.

7 0

3 years ago

L(t) models the length of each day (in minutes) in Manila, Philippines tt days after the spring equinox. Here, t is entered in r

SVETLANKA909090 [29]

Answer:

Given that:

$L(t) = 52\sin(\frac{2 \pi t}{365})+728$

where

L(t) represents the length of each day(in minutes) and t represents the number of days.

Substitute the value of L(t) = 750 minutes we get;

$750= 52\sin(\frac{2 \pi t}{365})+728$

Subtract 728 from both sides we get;

$22= 52\sin(\frac{2 \pi t}{365})$

Divide both sides by 52 we get;

$0.42307692352= \sin(\frac{2 \pi t}{365})$

or

$\frac{2 \pi t}{365} = \sin^{-1} (0.42307692352)$

Simplify:

$\frac{2 \pi t}{365} =0.43683845$

or

$t = \frac{365 \times 0.43683854}{2 \times \pi} = \frac{365 \times 0.43683854}{2 \times 3.14}$

Simplify:

$t \approx 25$ days

Therefore, the first day after the spring equinox that the day length is 750 minutes, is 25 days

4 0

3 years ago

Read 2 more answers

I need help (–

ExtremeBDS [4]

Answer:

69

Step-by-step explanation:

5(

–

q+6)=

–

20

5q–30=

–

20

Add -5 to both sides

Subtract -5 from both sides

Multiply both sides by -5

Divide both sides by -5

Apply the distributive property

5q=

Add 30 to both sides

q=

Divide both sides by 5 would be 69

6 0

2 years ago

224percent as a fraction or mixed number in simplest form

Murrr4er [49]

Answer:

2 6/25

Step-by-step explanation:

7 0

3 years ago

1) write a system on equations with the solution (2, -3). Work the problem out using the substitution method

solmaris [256]

The system of the equations that have the solution of (2, -3) are given below.

3x + 2y = 0 and 3y = 2x - 13

<h3>What is the linear system?</h3>

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

Write a system of equations with the solution (2, -3).

From a single point, an infinite number of lines pass through this point.

Let one line is passing through the origin. Then the equation of the line will be

$\rm y = \dfrac{-3}{2} (x)\\\\y = -1.5x$

And the other line is perpendicular to the line which is passing through the origin and a point (2, -3).

$\rm y = \dfrac{2}{3} x + c$

Then this line also passes through a point (2, -3). Then the value of c will be

$\rm -3 = \dfrac{2}{3} \times 2 + c\\\\c \ \ = -13$

Then the equation of the line will be

3y = 2x -13

More about the linear system link is given below.

brainly.com/question/20379472

#SPJ4

8 0

1 year ago