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ehidna [41]
1 year ago
13

What is the solution to the inequality 2x<20

Mathematics
1 answer:
Keith_Richards [23]1 year ago
8 0

The given expression is

2x

We just have to divide by 2

\begin{gathered} \frac{2x}{2}<h2>Hence, the solution is all real numbers less than 10.</h2>
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It is believed that Lake Tahoe Community College (LTCC) Intermediate Algebra students get less than seven hours of sleep per nig
Kitty [74]

Answer: No , at 0.05 level of significance , we have sufficient evidence to reject the claim that LTCC Intermediate Algebra students get less than seven hours of sleep per night, on average.

Step-by-step explanation:

Let \mu denotes the average hours of sleep per night.

As per given , we have

H_0:\mu=7\\H_a:\mu

, since H_a is left-tailed and population standard deviation is unknown, so the test is a left-tailed t -test.

Also , it is given that ,

Sample size : n= 22

Sample mean : \overline{x}=7.24

Sample  standard deviation : s= 1.93

Test statistic : t=\dfrac{\overline{x}-\mu}{\dfrac{s}{\sqrt{n}}}

i.e.  t=\dfrac{7.24-7}{\dfrac{1.93}{\sqrt{22}}}\approx0.58

For significance level \alpha=0.05 and degree of freedom 21 (df=n-1),

Critical t-value for left-tailed test= t_{\alpha, df}=t_{0.05,21}=- 1.7207

Decision : Since the test statistic value (0.58) > critical value  1.7207, it means we are failed to reject the null hypothesis .

[Note : When |t_{cal}|>|t_{cri}|, then we accept the null hypothesis.]

Conclusion: We have sufficient evidence to reject the claim that LTCC Intermediate Algebra students get less than seven hours of sleep per night, on average.

6 0
3 years ago
Can someone please help me I really need help please please help me
Len [333]

Answer:

p= -3d-6

Step-by-step explanation:

I think this is right because he's eating 3 pieces each day after which would be -3d and d represents the amount of days, and the -6 represents the 6 pieces of candy he ate on his birthday. Hope this helps!

8 0
3 years ago
Read 2 more answers
C÷2 when c=26<br> help me, please
Jobisdone [24]

Answer:

the answer would be 13

Step-by-step explanation:

26/2=13

3 0
3 years ago
Read 2 more answers
the number of years that brad has been on the soccer team is 2 less than 5 times the number of years that Scott has.in total,the
Alexeev081 [22]
Assume the following:

Brad has been in the soccer team for b years.

Scot has been in the soccer team for s years.


"The number of years that brad has been on the soccer team is 2 less than 5 times the number of years that Scott has"

means: b=5s-2


"in total,the boys have been on the soccer team for 10 years."

means: b+s=10


so we have the equations:

i) 
b=5s-2

ii) 
b+s=10


substitute b in ii) with 5s-2, as they are equal, from i

(5s-2)+s=10

5s-2+s=10

6s=12

s=2, 


then , from b+s=10, b=8


Answer: Brad has been in the team for 8 years.
7 0
3 years ago
I need to know the answers
Lelu [443]
Really dude I don't even no that but maybe someone else
5 0
3 years ago
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