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LenaWriter [7]
3 years ago
7

The equation y=4x+4 estimates the number of U.S. households, in millions, expected to install devices that receive and manage br

oadband TV and Internet content to the home, where x is the number of years after 2005. For what years will there be at least 40 million homes with these devices? Write your answer as an inequality involving x.
Mathematics
1 answer:
Pepsi [2]3 years ago
7 0

Answer:

X ≥9 years after 2009.

Step-by-step explanation:

Y=4x+4

Y-4=4x

X=(Y-4)/4

Y=number of U.S. households, in millions.

Y≥40

Y-4≥36

(Y-4)/4≥9

So, X≥9.

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An engineer designed a valve that will regulate water pressure on an automobile engine. The engineer designed the valve such tha
natita [175]

Answer:

Step-by-step explanation:

Given that:

Population Mean = 7.1

sample size = 24

Sample mean = 7.3

Standard deviation = 1.0

Level of significance = 0.025

The null hypothesis:

H_o: \mu = 7.1

The alternative hypothesis:

H_a: \mu > 7.1

This test is right-tailed.

degree \ of \  freedom=  n - 1 \\ \\ degree \  of \  freedom  =  24 - 1 \\ \\ degree \ of \  freedom   = 23

Rejection region: at ∝ = 0.025 and df of 23, the critical value of the right-tailed test t_c = 2.069

The test statistics can be computed as:

t = \dfrac{ \hat X - \mu_o}{\dfrac{s}{\sqrt{n}}}

t = \dfrac{ 7.3-7.1}{\dfrac{1}{\sqrt{24}}}

t = \dfrac{0.2}{0.204}

t = 0.980

Decision rule:

Since the calculated value of t is lesser than, i.e t = 0.980 < t_c = 2.069, then we do not reject the null hypothesis.

Conclusion:

We conclude that there is insufficient evidence to claim that the population mean is greater than 7.1 at 0.025 level of significance.

6 0
3 years ago
How many vertical asymptotes exist for this function?
marin [14]
Remember that to find the vertical asymptotes of rational functions, we just need to set the denominator equal to zero and solve for the variable, in this case x, so lets do it:
(x-4)(x+1)=0
x=4,x=-1

As you can see, our rational functions has 2 vertical asymptotes: x=4 and x=-1
5 0
3 years ago
What is 8.24+3.4 i need the aanswer please
kirill115 [55]

Answer:

11.64

Step-by-step explanation:

8.24+3.4=11.64

6 0
3 years ago
Read 2 more answers
The heart beats 103680 per year, how many heart beats per minute?
kompoz [17]

Answer:

Step-by-step explanation:

60 sec= 1 min

60min=1hour

24hours=1day

7days=1week

52 weeks =1 year

24x7= 168hours in a week

168hours x 52 =8736 hours in a year

8736x60=524160mins

524160mins=  1 year

the heart beats 103680 in a year

the heart will beat 524160/103680=5.05555555556 in a minute

6 0
3 years ago
The expression (3r+5)(2r-6) is equivalent to ?
Sholpan [36]
Is the answer 5r-1? I'm not sure tho sorry if it's wrong!
5 0
3 years ago
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