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meriva
3 years ago
13

How to solve this equation 6x+3=2x+8

Mathematics
1 answer:
MatroZZZ [7]3 years ago
4 0
You Must Solve For The Value Of X To Make The Equation True. 
So, There Are Two Ways We Could Try This:
Guess And Check
Or
Solve

I Am Going To Show You How To Solve This Because That Is What You Need To Know. So, We First Need To Look At It.

6x + 3 = 2x + 8

So, we need to subtract 3 from the right side's 8 to begin.
The equation becomes:

6x = 2x + 5

Now, We Need To Simplify The 2x. Subtract 2x from 6x. 
The Equation Becomes:

4x = 5

Now, Divide.

4x/4 = 1x = X

So,

X = 5/4

5/4 = 1 and 1/4

So

X = 1 ¼ 


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Glaucoma is a disease of the eye that is manifested by high intraocular pressure. The distribution of intraocular pressure in th
lana [24]

Answer:

(a) 9.18% of people have an intraocular pressure lower than 12 mm Hg.

(b) 80% of adults in the general population have an intraocular pressure that is greater than 13.47 mm Hg.

Step-by-step explanation:

We are given that the distribution of intraocular pressure in the general population is approximately normal with mean 16 mm Hg and standard deviation 3 mm Hg.

Let X = <u><em>intraocular pressure in the general population</em></u>

So, X ~ Normal(\mu=16,\sigma^{2} = 3^{2})

The z score probability distribution for normal distribution is given by;

                             Z  =  \frac{ X-\mu}{\sigma } }  ~ N(0,1)

where, \mu = population mean = 16 mm Hg

           \sigma = standard deviation = 3 mm Hg

(a) Percentage of people have an intraocular pressure lower than 12 mm Hg is given by = P(X < 12 mm Hg)

       P(X < 12) = P( \frac{ X-\mu}{\sigma } } < \frac{ 12-16}{3 } } ) = P(Z < -1.33) = 1 - P(Z \leq 1.33)

                                                   = 1 - 0.9082 = <u>0.0918</u> or 9.18%

The above probability is calculated by looking at the value of x = 1.33 in the z table which has an area of 0.9082.

(b) We have to find that 80% of adults in the general population have an intraocular pressure that is greater than how many mm Hg, that means;

        P(X > x) = 0.80      {where x is the required intraocular pressure}

        P( \frac{ X-\mu}{\sigma } } > \frac{ x-16}{3 } } ) = 0.80

        P(Z > \frac{ x-16}{3 } } ) = 0.80

Now, in the z table the critical value of z which represents the top 80% of the area is given as -0.842, that is;

                           \frac{ x-16}{3 } } = -0.842

                           x -16 = -0.842 \times 3

                           x = 16 - 2.53 = <u>13.47</u> mm Hg

Therefore, 80% of adults in the general population have an intraocular pressure that is greater than 13.47 mm Hg.

8 0
3 years ago
For the following figure, complete the statement for the specified points. Points R, T, B, and C are _____.
kipiarov [429]

Hey there,

The correct answer is: Both collinear and coplanar

:)

7 0
3 years ago
Look at the Screenshot
Genrish500 [490]

The value for m is -5

Putting the x⁵ on the denominator is just a way to get rid of the negative exponent.

4 0
2 years ago
I don’t get it I need help solving this math problem I
harkovskaia [24]

Answer:

Step-by-step explanation:

you know the total angle is 180° from A to D

and you know that ∠BEC is 90°

also you are told that ∠CED is 18°

and that ∠AEB is 4x°

so just put that all together

180=90 + 18 +4x

now solve for X

180-90-18=4x

72=4x

18 = x

so now you know X

now solve ∠AEB

4(18) = 72°

∠AEB= 72°

:)

6 0
3 years ago
What 3/4 x 5/8 in fraction
astra-53 [7]

Answer: Hi! 15/32, I think!

3 0
3 years ago
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