Can Anyone Please HELP ME ITS DUE TOMORROW MORNING

Mathematics

1 answer:

almond37 [142]2 years ago

4 0

Answer:

Step-by-step explanation:

1/8 = 1/9 + x ...multiply by LCD of 72

9 = 8 + 72x

9 - 8 = 72x

1 = 72x

1/72 = x

1/8 = 1/10 + x....multiply by 40

5 = 4 + 40x

5 - 4 = 40x

1 = 40x

1/40 = x

1/8 = 1/11 + x....multiply by 88

11 = 8 + 88x

11 - 8 = 88x

3 = 88x

3/88 = x

can all unit fractions be made in more then 1 way like this ?

not to sure because that last one....because it has been that a unit fraction is the outcome of adding together 2 unit fractions...but that last one...3/88 is not a unit fraction

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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)

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