A square pyramid has a base side length of 20.4cm and a height of 18.2cm which square pyramid is similar

Mathematics

1 answer:

Maksim231197 [3]2 years ago

7 0

Answer:

C) base side length = 30.6 cm, height = 27.3 cm

Step-by-step explanation:

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Find a counter example. The product of any integer and 2 is greater than 2

alexira [117]

Examples:

   3 x 2 = 6

   7 x 2 = 14

   Both are greater than 2 .

Counter examples:

      1 x 2 =   2

   -6 x 2 = -12

Not greater than 2 .

8 0

2 years ago

While conducting experiments, a marine biologist selects water depths from a uniformly distributed collection that vary between

aleksandr82 [10.1K]

Answer:

The probability that a randomly selected depth is between 2.25 m and 5.00 m is 0.55.

Step-by-step explanation:

Let the random variable X denote the water depths.

As the variable water depths is continuous variable, the random variable X follows a continuous Uniform distribution with parameters a = 2.00 m and b = 7.00 m.

The probability density function of X is:

$f_{X}(x)=\frac{1}{b-a};\ a$

Compute the probability that a randomly selected depth is between 2.25 m and 5.00 m as follows:

$P(2.25$

$=\frac{1}{5.00}\int\limits^{5.00}_{2.25} {1} \, dx\\\\=0.20\times [x]^{5.00}_{2.25} \\\\=0.20\times (5.00-2.25)\\\\=0.55$

Thus, the probability that a randomly selected depth is between 2.25 m and 5.00 m is 0.55.

6 0

2 years ago

Let f(x) be a func. satisfying f(-x)=f(x) for all real x.if f"(x) exist, find its value.

OverLord2011 [107]

Answer:

$f''(x)=f''(-x)$

Step-by-step explanation:

A function satisfying the equation $f(x)=f(-x)$ is said to be an even function. This denomination comes from the fact that the same relation is satisfied for functions of the form $x^{n}$ with $n$ even. Observe that if $f$ is twice differentiable we can derivate using the chaing rule as follows: