What is the measure of ZBAQ 1 B 84 0 x 140

The perimeter of the triangular park on the right is 16x-6. What is the missing length? The bottom side length is 5x+4 and the r

Romashka-Z-Leto [24]

Answer:

$(9x-5)\ units$

Step-by-step explanation:

The picture of the question in the attached figure

we know that

The perimeter of a triangle is the sum of the length of their three sides

so

$P=a+b+c$

where

a,b,c are the length sides of the triangle

In this problem we have

$P=(16x-6)\ units\\a=(2x-5)\ units\\b=(5x+4)\ units$

substitute and solve for the missing length

$(16x-6)=(2x-5)+(5x+4)+c\\c=(16x-6)-(2x-5)-(5x+4)\\c=(9x-5)\ units$

3 0

3 years ago

Grasshoppers are distributed at random in a large field according to a Poisson process with parameter a 5 2 per square yard. How

HACTEHA [7]

In this question, the Poisson distribution is used.

Poisson distribution:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given interval.

Parameter of 5.2 per square yard:

This means that $\mu = 5.2r$ , in which r is the radius.

How large should the radius R of a circular sampling region be taken so that the probability of finding at least one in the region equals 0.99?

We want:

$P(X \geq 1) = 1 - P(X = 0) = 0.99$

Thus:

$P(X = 0) = 1 - 0.99 = 0.01$

We have that:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 0) = \frac{e^{-5.2r}*(5.2r)^{0}}{(0)!} = e^{-5.2r}$

Then

$e^{-5.2r} = 0.01$

$\ln{e^{-5.2r}} = \ln{0.01}$

$-5.2r = \ln{0.01}$

$r = -\frac{\ln{0.01}}{5.2}$

$r = 0.89$

Thus, the radius should be of at least 0.89.

Another example of a Poisson distribution is found at brainly.com/question/24098004

3 0

3 years ago

The volume of a rectangular prism that has a length of 3 units, a width of 6 units, and a height of 4 units is found by V=LWH=(3

Wittaler [7]

This is the concept of volume of solid materials. Volume is of a rectangular prism is given by:
volume=length*width*height
length=6 units
width=3 units
height=4 units
thus;
volume=6*3*4=72 cubic units

8 0

2 years ago

the curved surface of a cylindrical surface is 704 cm square calculate the height when the radius is 8cm

AlexFokin [52]

Answer:

CSA of cylinder = 704cm²

We know that

CSA of cylinder = 2πrh

or 2πrh = 704

or, 2*22/7 *8 *h = 704 ( since r=8cm)

or, 352h = 704*7

or, h = 4928/352 = 14cm

7 0

3 years ago

1. Identify the pair of fractions equivalent to 25/45 *

stepladder [879]

Answer:

Hope this helps! Brainliest please

Step-by-step explanation:

1. Divide both by 5, so the correct answer would be 5/9, and then multiply both by 3, so the correct answer would be 75/135. The answer is 5/9,75/135

2. 4 and 2/7 because 7 *4=28. That leaves 2 sevenths over.

3. Divide both by 9. Your answer is 3/4

6 0

3 years ago