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navik [9.2K]
3 years ago
7

Which graph appears to show a normal distribution ?

Mathematics
1 answer:
ra1l [238]3 years ago
7 0

Look at the picture.

It are the examples of a normal distribution.

Answer: B.

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Find the midpoint (6,3) and (14,9)
scoray [572]

Answer:

(10,6)

Step-by-step explanation:

The equation you would use to solve this is (x1+x2/2 , y1+y2/2) so when you plug in the numbers you get this (6+14/2 , 3+9/2) which eventually simplifies into (10, 6)

3 0
3 years ago
Suppose that a large mixing tank initially holds 100 gallons of water in which 50 pounds of salt have been dissolved. Another br
Serggg [28]

Answer:

dA/dt = 12 - 2A/(100 + t)

Step-by-step explanation:

The differential equation of this problem is;

dA/dt = R_in - R_out

Where;

R_in is the rate at which salt enters

R_out is the rate at which salt exits

R_in = (concentration of salt in inflow) × (input rate of brine)

We are given;

Concentration of salt in inflow = 4 lb/gal

Input rate of brine = 3 gal/min

Thus;

R_in = 4 × 3 = 12 lb/min

Due to the fact that solution is pumped out at a slower rate, thus it is accumulating at the rate of (3 - 2)gal/min = 1 gal/min

So, after t minutes, there will be (100 + t) gallons in the tank

Therefore;

R_out = (concentration of salt in outflow) × (output rate of brine)

R_out = [A(t)/(100 + t)]lb/gal × 2 gal/min

R_out = 2A(t)/(100 + t) lb/min

So, we substitute the values of R_in and R_out into the Differential equation to get;

dA/dt = 12 - 2A(t)/(100 + t)

Since we are to use A foe A(t), thus the Differential equation is now;

dA/dt = 12 - 2A/(100 + t)

5 0
3 years ago
Solve for z, wz-4/ 5z
saw5 [17]

x=\dfrac{wz-4}{5z}\\\\5xz=wz-4\\\\5xz-wz=-4\\\\z(5x-w)=-4\\\\z=-\dfrac{4}{5x-w}

7 0
3 years ago
Factor: 9x^2 + 15x.
slega [8]

Answer:

3(3x^2 + 5)

Step-by-step explanation:

step 1: find out the greatest common factor (GCF) of the number 9 and 15

ex: 9x^2 + 15x   (3 * 3x^2 + 3 * 5)

step 2: factor out the common term 3

ex: 3 * 3x^2 + 3 * 5   (3 * 3x^2 + 5)

step 3: simplify the equation

3 * 3x^2 + 5   [3(3x^2 + 5)]

6 0
2 years ago
-34 + 52 + -18 (Intergers!!)
enyata [817]
We need to follow PEMDAS

We have to do the addition and subtraction from left to right.

Rearrange the terms

52 - 18 - 34

52 -1(18+34)

52 -1(52)

52 - 52

0



So, at the end, your final answer is 0.
3 0
3 years ago
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