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Naddika [18.5K]
3 years ago
6

Answer the following questions CORRECTLY I will know if this is wrong. I WILL REPORT ANY INCORRECT ANSWERS!

Mathematics
2 answers:
Rufina [12.5K]3 years ago
7 0

The defenition of Normal distribution is that it is an arrangement of a specific data, set in which most values cluster in the middle of the range, and the rest taper off symmetrically.

Hitman42 [59]3 years ago
5 0

Answer by JKismyhusbandbae: Normal distribution is an arrangement of a data set in which most values cluster in the middle of the range and the rest taper off symmetrically.

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Math help!! This is really difficult​
Reptile [31]

Answer:

y = -3/2 x +13

Step-by-step explanation:

We want our line to be perpendicular to

y = 2/3 x -1

The slope of this line is 2/3   (since it is written in the form y = mx+b and m is the slope)

Perpendicular lines have negative reciprocal slopes

m = -(3/2)

The slope of our new line is -3/2

We can use point slope form of the equation

y-y1 - m (x-x1)

y - 7 = -3/2 (x-4)

Distribute

y-7 = -3/2x +6

Add 7 to each side

y-7+7 = -3/2 x +6+7

y = -3/2 x +13

4 0
3 years ago
Help for question 1 and 2​
AnnyKZ [126]

Answer:

<em>(1). </em>5^{4}<em> × </em>13^{7}<em> ; (2). 3 - 5x</em>

Step-by-step explanation:

1). [( - 5 )³ · ( - 5 )] ( 13^{-2} · 13^{9} ) = (-5)^{3+1} × (13)^{-2+9} = (-5)^{4} × 13^{7} = 5^{4} × 13^{7}

2). - 25x² ÷ 5x + 15x ÷ 5x = <em>3 - 5x</em>

4 0
2 years ago
Water is leaking out of a large barrel at a rate proportional to the square rooot of the depth of the water at that time. If the
sdas [7]

Answer:

It will take about 35.49 hours for the water to leak out of the barrel.

Step-by-step explanation:

Let y(t) be the depth of water in the barrel at time t,  where y is measured in inches and t in hours.

We know that water is leaking out of a large barrel at a rate proportional to the square root of the depth of the water at that time. We then have that

                                                 \frac{dy}{dt}=-k\sqrt{y}

where k is a constant of proportionality.

Separation of variables is a common method for solving differential equations. To solve the above differential equation you must:

Multiply by \frac{1}{\sqrt{y}}

\frac{1}{\sqrt{y}}\frac{dy}{dt}=-k

Multiply by dt

\frac{1}{\sqrt{y}}\cdot dy=-k\cdot dt

Take integral

\int \frac{1}{\sqrt{y}}\cdot dy=\int-k\cdot dt

Integrate

2\sqrt{y}=-kt+C

Isolate y

y(t)=(\frac{C}{2} -\frac{k}{2}t)^2

We know that the water level starts at 36, this means y(0)=36. We use this information to find the value of C.

36=(\frac{C}{2} -\frac{k}{2}(0))^2\\C=12

y(t)=(\frac{12}{2} -\frac{k}{2}t)^2\\\\y(t)=(6 -\frac{k}{2}t)^2

At t = 1, y = 34

34=(6 -\frac{k}{2}(1))^2\\k=12-2\sqrt{34}

So our formula for the depth of water in the barrel is

y(t)=(6 -\frac{12-2\sqrt{34}}{2}t)^2\\\\y(t)=\left(6-\left(6-\sqrt{34}\right)t\right)^2\\

To find the time, t, at which all the water leaks out of the barrel, we solve the equation

\left(6-\left(6-\sqrt{34}\right)t\right)^2=0\\\\t=3\left(6+\sqrt{34}\right)\approx 35.49

Thus, it will take about 35.49 hours for the water to leak out of the barrel.

5 0
3 years ago
A box has dimensions of 4.1 inches, 5.9 inches, and 7.2 inches. Estimate the volume of the solid.
Nadusha1986 [10]
Volume = length * width * height

Volume = 4.1 * 5.9 * 7.2 ≈ 4 * 6 * 7 = 168

Volume ≈ 168 in³

(C)
8 0
3 years ago
Read 2 more answers
What is the value of x
Rashid [163]

Answer:

it Is a variable..............

5 0
2 years ago
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