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3 years ago

In the data set below, which of these points is most likely and outlier?

Mathematics

1 answer:

shusha [124]3 years ago

5 0

<h2>Answer:</h2>

Option: D is the correct answer.

D. (2,54)

<h2>Step-by-step explanation:</h2>

We know that an outlier of a data set is the value that stands out of the rest of the data point i.e. either it is a too high value or a too low value as compared to other data points.

Here we are given a set of data points as:

(2,54)

(4,7)

(6, 9)

(8,12)

(10,15)

Hence, we see that the output values i.e. 7 in (4,7) ; 9 in (6,9) ; 12 in (8,12) and 15 in (10,15) are closely related.

Hence, the data point that is an outlier is:

(2,54)

(As 54 is a much high value as compared to other)

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ABCD is rectangle on a coordinate grid with side AB parallel to side CD. Side BC is perpendicular to AB. The slip of AB is 3/4.

dybincka [34]

The slope of BC is $\frac{-4}{3}$

Step-by-step explanation:

Let us revise some notes about slopes of lines

If two lines are parallel, then their slopes are equal
If to lines are perpendicular, then the product of their slopes is -1, that means if the slope of one is m, then the slope of the other is $\frac{-1}{m}$

∵ ABCD is a rectangle

∵ AB // CD

∴ The slope of AB = the slope of CD

∵ BC ⊥ AB

∴ The slope of BC × the slope of AB = -1

∵ The slope of AB = $\frac{3}{4}$

- To find the slope of BC reciprocal the slope of AB and reverse its sign

∴ The slope of BC = $\frac{-4}{3}$

The slope of BC is $\frac{-4}{3}$

Learn more:

You can learn more about the slope in brainly.com/question/9801816

#LearnwithBrainly

6 0

3 years ago

A tank contains 3,000 L of brine with 15 kg of dissolved salt. Pure water enters the tank at a rate of 30 L/min. The solution is

Shalnov [3]

Answer:

Step-by-step explanation:

Volume of tank is 3000L.

Mass of salt is 15kg

Input rate of water is 30L/min

dV/dt=30L/min

Let y(t) be the amount of salt at any time

Then,

dy/dt = input rate - output rate.

The input rate is zero since only water is added and not salt solution

Now, output rate.

Concentrate on of the salt in the tank at any time (t) is given as

Since it holds initially holds 3000L of brine then the mass to volume rate is y(t)/3000

dy/dt= dV/dt × dM/dV

dy/dt=30×y/3000

dy/dt=y/100

Applying variable separation to solve the ODE

1/y dy=0.01dt

Integrate both side

∫ 1/y dy = ∫ 0.01dt

In(y)= 0.01t + A, .A is constant

Take exponential of both side

y=exp(0.01t+A)

y=exp(0.01t)exp(A)

exp(A) is another constant let say C

y(t)=Cexp(0.01t)

The initial condition given

At t=0 y=15kg

15=Cexp(0)

Therefore, C=15

Then, the solution becomes

y(t) = 15exp(0.01t)

At any time that is the mass.

5 0

2 years ago

HELP NEED NOW, WILL GIVE BRAINLIEST: The difference of measures between the arcs subtended by chord AB is 160°. Line l is tangen

omeli [17]

Answer:

50°

Step-by-step explanation:

As usual, the diagram is not drawn to scale.

The chord divides the circle into two arcs that have a sum of 360°. If we let "a" represent the measure of the smaller arc, then we have ...

a + (a+160°) = 360°

2a = 200° . . . . . . . . . . . subtract 160°

a = 100°

The measure of the angle at A is 1/2 the measure of the subtended arc:

acute ∠A = a/2 = (1/2)·100° = 50°

_____

<em>Comment on this geometry</em>

Consider a different inscribed angle, one with vertex V on the circle and subtending the same short arc subtended by chord AB. Then you know that the angle at V is half the measure of arc AB. This is still true as point V approaches (and becomes) point A on the circle. When V becomes A, segment VA becomes tangent line <em>l</em>, and you have the geometry shown here.

4 0

2 years ago

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Rama09 [41]

Answer:

Step-by-step explanation:

8 0

3 years ago

What is sum of -3x^2 - 7x + 9 and - 5x^2 + 6x - 4

valkas [14]

-8x2-x +5 hope this helps

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2 years ago