The triangle below has an area of 75 units squared. Find the missing side.

Mathematics

1 answer:

Volgvan3 years ago

5 0

Answer:

x = 15 units

Step-by-step explanation:

Here, base of triangle = x units & height = 19 units

$Area( \triangle) = \frac{1}{2} \times base \times height \\ \\ 75 = \frac{1}{2} \times x \times 10 \\ \\ 75 = x \times 5 \\ \\ x = \frac{75}{5} \\ \\ \huge \purple{ \boxed{ x = 15 \: units}}$

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Read 2 more answers

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)

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