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2 years ago

Triangle ABC is similar to triangle DEF.

Mathematics

1 answer:

aleksandrvk [35]2 years ago

6 0

Answer:

C) 4/3 = DE/9

Step-by-step explanation:

I don't have much time to explain, so just trust me on this. :)

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A text font fits 12 characters per inch using the same font how many catchers can be expected per yard of text

rodikova [14]

Answer:

432 characters

Step-by-step explanation:

There are 3 feet in a yard which means there are 36 inches in a yard since one foot is equal to 12 inches. Each inch contains 12 characters so you would multiply 36 by 12 to get 432.

7 0

2 years ago

The distance Train A travels is represented by y=70x, where y is the distance in kilometers and x is the time in hours. What is

s344n2d4d5 [400]

Answer:

the unit rate is 70 miles per 1 hour

Step-by-step explanation:

7 0

2 years ago

The tree in your friend's yard casts a shadow that is 27 feet long. Your friend is 5 feet tall and casts a shadow that is 4.5 fe

LuckyWell [14K]

Th=Ukn
Ts=27
Fh=5
Fs=4.5
x/27=5/4.5
x=30
The tree is 30 feet tall.

7 0

2 years ago

Read 2 more answers

Michael canned 4,713 quarts of blueberries over the summer. By the end of the year he had used 1/3 of what he had canned. How ma

aleksandr82 [10.1K]

Answer:

he used 1,571

Step-by-step explanation:

if you divide 4,713 by 3, you get 1,571 and that amount is equal to just 1/3 of the amount.

3 0

2 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

2 years ago