X-2 supra x+3=2 supra 3

Mathematics

1 answer:

algol133 years ago

8 0

1/4/2=3/2/x
1/4:2=3/2;x
1/4*1/2=3/2*1/x
1/8=3/2x
2x=8*3
x=24:2
x=12

You might be interested in

Solve for x 6x + 3 - 1/2 x = -2x +5

UkoKoshka [18]

First, group the x values together (on one side) and the other values on the other.

6x + 3 - 1/2 x = -2x +5
6x - 1/2 x + 2x = 5 - 3

Now solve!

7 and 1/2 x = 2
x = 8

Hope this helps!

6 0

3 years ago

The length of human pregnancies from conception to birth follows a distribution with mean 266 days and standard deviation 15 day

Katena32 [7]

Answer:

a) 81.5%

b) 95%

c) 75%

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 266 days

Standard Deviation, σ = 15 days

We are given that the distribution of length of human pregnancies is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

a) P(between 236 and 281 days)

$P(236 \leq x \leq 281)\\\\= P(\displaystyle\frac{236 - 266}{15} \leq z \leq \displaystyle\frac{281-266}{15})\\\\= P(-2 \leq z \leq 1)\\\\= P(z \leq 1) - P(z < -2)\\= 0.838 - 0.023 = 0.815 = 81.5\%$

b) a) P(last between 236 and 296)

$P(236 \leq x \leq 281)\\\\= P(\displaystyle\frac{236 - 266}{15} \leq z \leq \displaystyle\frac{296-266}{15})\\\\= P(-2 \leq z \leq 2)\\\\= P(z \leq 2) - P(z < -2)\\= 0.973 - 0.023 = 0.95 = 95\%$