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valentina_108 [34]
3 years ago
11

The function f(x) has a vertical asymptote at x= [blank].

Mathematics
1 answer:
avanturin [10]3 years ago
3 0

Answer: x=3

Step-by-step explanation:

Given

The function f(x) has a vertical asymptote

From the graph, it is clear that at x=3, the function value approaches infinity

So, x=3 is the vertical asymptote of the function.

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1. The mean annual US household income is $72,641. Suppose that the standard deviation is $30,000. a. Find the probability that
valina [46]

Answer:

The answer is below

Step-by-step explanation:

The z score is used to determine by how many standard deviations the raw score is above or below the mean. The z score is given as:

z=\frac{x-\mu}{\sigma}\\\\where\ x=raw\ score,\mu=mean\ and\ \sigma=standard\ deviation \\\\For\ a\ sample\ size\ n: \\\\z=\frac{x-\mu}{\sigma/\sqrt{n} }

Given that μ = $72,641 and σ = $30,000.

a) x > $100000

z=\frac{100000-72641}{30000}=0.91

P(x > 100000) = P(z > 0.91) = 1 - 0.8186 = 0.1814

b) n = 5

x > $100000

z=\frac{100000-72641}{30000/\sqrt{5} }=2.04

P(x > 100000) = P(z > 2.04) = 1 - 0.9793 = 0.0207

c) n = 10

x > $100000

z=\frac{100000-72641}{30000/\sqrt{10} }=2.88

P(x > 100000) = P(z > 2.88) = 1 - 0.9980 = 0.002

4 0
3 years ago
The value of 9 in 456,790.
QveST [7]
The value of 9 there is 90 since it is in the tens place.
3 0
3 years ago
Karen's fish tank has 13 liters of water in it. She plans to add 4 liters per minute until the tank has at least 57 liters. What
guapka [62]

Answer:

Karen has to at least spend 11 minutes.

Step-by-step explanation:

This is because 57 - 13 = 44. 44 divided by 4 = 11. This means that in 11 minutes Karen will have a 57 liter tank. But she could keep going, but the least number of minutes would be 11 minutes, to get to 57 liters.

I hope this helps! Please mark me Brainliest if it did! Thank you and have a nice day!

4 0
3 years ago
Read 2 more answers
Write down the next three terms in each sequence -8,-11,-14,-17
lianna [129]
-20, -23, -26 (adding three)
8 0
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Consider the absolute value function f(x) = a[x]. Would the values of a produce a shrink or a stretch? So
Rom4ik [11]

Answer:

Shrink:

a=1/4

a=0.3

Stretch:

a=60

a=2.5

a=1.1

Step-by-step explanation:

7 0
3 years ago
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