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Harrizon [31]
3 years ago
8

What is the range of the function?

Mathematics
1 answer:
Brums [2.3K]3 years ago
3 0

Answer:

less than or equal to 4

Step-by-step explanation:

all real numbers less than or equal to 4  

usually is 1 or 2 it is never 0 or negative.

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121 bricks in 16.5 minutes 22 brings in m minutes
Westkost [7]
Use a proportion.

121/16.5 = 22/m

121m = 16.5 * 22

11m = 16.5 * 2

11m = 33

m = 3

3 minutes.
4 0
3 years ago
Help easy math question!!!
bogdanovich [222]

Answer:

The length of the third side of the triangle is 30.

Step-by-step explanation:

Here is the formula for the Pythagorean Theorem:

a^{2} + b^{2} = c^{2}

The hypotenuse, based on the problem, is 50. Anyways, let's get back to calculating!

We need to multiply 40 times 40 and 50 times 50.

40 times 40, or 40 squared, equals to 1600.

50 times 50, or 50 squared, equals to 2500.

c^{2} - b^{2}  = a^{2}

Now, let's subtract. 2500 - 1600 = 900. We need to find the square root of 900--which is 30, because 30 times 30, or 30 squared, equals to 900.

8 0
3 years ago
Suppose the number of insect fragments in a chocolate bar follows a Poisson process with the expected number of fragments in a 2
leonid [27]

Answer:

a)The expected number of insect fragments in 1/4 of a 200-gram chocolate bar is 2.55

b)0.6004

c)19.607

Step-by-step explanation:

Let X denotes the number of fragments in 200 gm chocolate bar with expected number of fragments 10.2

X ~ Poisson(A) where \lambda = \frac{10.2}{200} = 0.051

a)We are supposed to find the expected number of insect fragments in 1/4 of a 200-gram chocolate bar

\frac{1}{4} \times 200 = 50

50 grams of bar contains expected fragments = \lambda x = 0.051 \times 50=2.55

So, the expected number of insect fragments in 1/4 of a 200-gram chocolate bar is 2.55

b) Now we are supposed to find the probability that you have to eat more than 10 grams of chocolate bar before ending your first fragment

Let X denotes the number of grams to be eaten before another fragment is detected.

P(X>10)= e^{-\lambda \times x}= e^{-0.051 \times 10}= e^{-0.51}=0.6004

c)The expected number of grams to be eaten before encountering the first fragments :

E(X)=\frac{1}{\lambda}=\frac{1}{0.051}=19.607 grams

7 0
3 years ago
Austin is on his way home in his car. His drive is 30 miles long. He has finished five-sixths of the drive so far. How far has h
drek231 [11]
30 miles is two-thirds of x (where x is the total distance) 


<span>30 = (2/3)*x </span>


<span>30*3 = 2x 
</span><span><span>90 = 2x 


90/2 = x 


45 = x 


x = 45 


The total length of his drive is 45 miles</span><span>
</span></span>
6 0
3 years ago
The perimeter of a square is directly proportional to the length of a side, and its area is directly proportional to the square
Katyanochek1 [597]

The area will be multiplied by the square of 5, which is 25.

7 0
3 years ago
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