Answer:
range {3, 5, 6, 7 }
Step-by-step explanation:
to find the range substitute each value of x from the domain into f(x)
f(- 3) = -(- 3) + 4 = 3 + 4 = 7
f(- 2) = - (- 2 + 4 = 2 + 4 = 6
f(- 1) = - (- 1) + 4 = 1 + 4 = 5
f(1) = - 1 + 4 = 3
range y ∈ { 3, 5, 6, 7 }
The five types of infinitives are full infinitives, bare infinitives, split infinitives, continuous infinitives , and perfect continuous infinitive.
Explanation:
Types of infinitives:
Five types of infinitives are as follow:
- Full infinitives : Add 'to' Infront of the verb to complete the the situation.
- Bare infinitives: here " to" get omitted from the sentence.
- Split infinitives : Here adjectives slides between infinitives marker.
To hear : full infinitives changes to split infinitives : to slowly hear.
- Continuous infinitives: Action going for certain period of required time.
Example : to be missing
- Perfect continuous infinitives: prior to a time :
Example : to have seen
Therefore, there are are five types of infinitives .
Learn more about infinitives here
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Answer:
9.2
Step-by-step explanation:
You want the distance between A(2, 0) and B(0, 9).
<h3>Distance</h3>
The distance formula is based on the Pythagorean theorem. It tells you the distance between (x1, y1) and (x2, y2) is ...
d = √((x2 -x1)² +(y2 -y1)²)
For the given points, this becomes ...
d = √((0 -2)² +(9 -0)²) = √(4+81) = √85
d ≈ 9.2
The distance between A and B is about 9.2 units.
Answer:
Step-by-step explanation:
<u>Given points:</u>
- A(-1, -9) and M(0.5, -2.5)
Let the coordinates of B are (x, y)
<u>Use midpoint formula to determine the point B:</u>
- 0.5 = (- 1 + x)/2 ⇒ 1 = -1 + x ⇒ x = 1 + 1 = 2
- -2.5 = (-9 + y)/2 ⇒ -5 = -9 + y ⇒ y = -5 + 9 = 4
Answer:
Therefore, the probability that at least half of them need to wait more than 10 minutes is <em>0.0031</em>.
Step-by-step explanation:
The formula for the probability of an exponential distribution is:
P(x < b) = 1 - e^(b/3)
Using the complement rule, we can determine the probability of a customer having to wait more than 10 minutes, by:
p = P(x > 10)
= 1 - P(x < 10)
= 1 - (1 - e^(-10/10) )
= e⁻¹
= 0.3679
The z-score is the difference in sample size and the population mean, divided by the standard deviation:
z = (p' - p) / √[p(1 - p) / n]
= (0.5 - 0.3679) / √[0.3679(1 - 0.3679) / 100)]
= 2.7393
Therefore, using the probability table, you find that the corresponding probability is:
P(p' ≥ 0.5) = P(z > 2.7393)
<em>P(p' ≥ 0.5) = 0.0031</em>
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Therefore, the probability that at least half of them need to wait more than 10 minutes is <em>0.0031</em>.
