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crimeas [40]
3 years ago
10

What is the value of x 10= 3x - 6 X=

Mathematics
2 answers:
vlada-n [284]3 years ago
4 0
Add 6 to both sides of the equation
simply/ 16=3x
divide both sides by 3
x = 16/3
Masja [62]3 years ago
3 0

Answer:

x= \frac{16}{3}

Step-by-step explanation: Can i get brain plz!

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The average THC content of marijuana sold on the street is 9.3%. Suppose the THC content is normally distributed with standard d
velikii [3]

Answer:

a) X \sim N(9.3,1)  

b) P(X>9.2)=P(\frac{X-\mu}{\sigma}>\frac{9.2-\mu}{\sigma})=P(Z>\frac{9.2-9.3}{1})=1-P(Z

c) The value of height that separates the bottom 75% of data from the top 25% is 9.9745.  

Step-by-step explanation:

1) Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

2) Part a

Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:

X \sim N(9.3,1)  

Where \mu=9.3 and \sigma=1

3) Part b

We are interested on this probability

P(X>9.2)

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

P(X>9.2)=P(\frac{X-\mu}{\sigma}>\frac{9.2-\mu}{\sigma})=P(Z>\frac{9.2-9.3}{1})=1-P(Z

4) Part c

For this part we want to find a value a, such that we satisfy this condition:

P(X>a)=0.25   (a)

P(X   (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.  

As we can see on the figure attached the z value that satisfy the condition with 0.75 of the area on the left and 0.25 of the area on the right it's z=0.6745. On this case P(Z<0.6745)=0.75 and P(z>0.6745)=0.25

If we use condition (b) from previous we have this:

P(X  

P(Z

But we know which value of z satisfy the previous equation so then we can do this:

z=0.6745

And if we solve for a we got

a=9.3 +1*0.6745=9.9745

So the value of height that separates the bottom 75% of data from the top 25% is 9.9745.  

8 0
3 years ago
What is the slope of the line passing through (1, 2) and (3, 3)?
enot [183]

Answer:

Slope is 1/2

Step-by-step explanation:

Using the slope formula y₂-y₁/x₂-x₁

(x₁,y₁) and (x₂,y₂) → (1,2) and (3,3)

So...

3-2=1

3-1=2

1/2

8 0
3 years ago
How do combine like terms 3x plus 3y minus 5x minus y?
miskamm [114]

3x+3y-5x-y

(3x-5x) +(3y-y)

(3-5)x + (3-1)y

-2x+2y

4 0
3 years ago
X + 6y = 2 4x - 3y = 10 Pick the first step to solving this system of equations using the addition method.
podryga [215]
<span>This one is the correct answer----->Multiply the bottom equation by 2 thus eliminating the y variable when the equations are added together.

</span><span>X + 6y = 2 ....top
</span><span>4x - 3y = 10...bottom

if we multiply the bottom equation by 2 .......... =>  8x - 6y = 20
if we add it to the top one..........>(8+1)x +(6-6)y = (20+2)
then we solve for x =>   x = 22/9 

then with the top equation, we solve for y == >  y = -2/27</span>
4 0
3 years ago
Plzz help me out look at the pic
Nookie1986 [14]

Answer:

(B) 10

Step-by-step explanation:

Rate of change is basically slope

So the slope here is 10/1 so the rate of change is 10

6 0
3 years ago
Read 2 more answers
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