If x is an odd number, write an expression for the odd number that directly follows x

Mathematics

1 answer:

il63 [147K]4 years ago

4 0

The answer is: " (x + 2) " .
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Determine whether one figure is a dilation of the other.

Alika [10]

The answer is no.

A dilation is when a shape is scaled up or down to create a similar shape. The only thing that changes is the lengths of the sides. The angles will stay the same.

In this case, the original has angles 54, 29, and 97.

After the transformation the triangle has the angles 29, 59, and 92.

5 0

3 years ago

The water content of soil from a borrow site is normally distributed with a mean of 14% and a standard deviation of 2.5%. What i

Vladimir [108]

Answer:

0.424 is the probability that a sample taken from the site will have a water content above 16% or below 12%.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 14%

Standard Deviation, σ = 2.5%

We are given that the distribution of water content of soil is a bell shaped distribution that is a normal distribution.

Formula:

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

P(water content above 16% or below 12%)

= 1 - P(water content between 12% and 16%)

$=1 - P(12 \leq x \leq 16) =1 - P(\displaystyle\frac{12 - 14}{2.5} \leq z \leq \displaystyle\frac{16-14}{2.5})\\\\=1 - (P(-0.8 \leq z \leq 0.8))\\\\=1 -(P(z \leq 0.8) - P(z < -0.8))\\=1-( 0.788 -0.212) = 0.424 = 42.4\%$