1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Crazy boy [7]
2 years ago
6

Which compound inequality is equivalent to the absolute value inequality |bl> 6?

Mathematics
1 answer:
dimulka [17.4K]2 years ago
8 0

Answer:

b > -6 or b < 6

Step-by-step explanation:

The absolute value operator always returns a positive number, with |b| = b if b > 0, and |b| = -b if b 0. With this in mind, consider the following inequality:

  • |b| > 6

Because of the absolute value operator, this is valid for b values larger than 6 and less than -6. As a result, the compound inequality that this circumstance illustrates is:

  • b< -6 or b > 6
You might be interested in
Find the volume.<br> 15 points
Anton [14]

Answer:

the volume is 196

Step-by-step explanation:

17x8=136

6x10=60

136+60=196

3 0
4 years ago
An investigator thinks that people under the age of forty have vocabularies that are different than those of people over sixty y
Kay [80]

Answer:

t=\frac{(14-20)-0}{\sqrt{\frac{5^2}{31}+\frac{6^2}{31}}}}=-4.28  

Now we can calculate the p value with the following probability:

p_v =2*P(t_{60}  

The p value is a very low value so then we have enough evidence to reject the null hypothesis and we can conclude that people under the age of forty have vocabularies that are different than those of people over sixty years of age.

Step-by-step explanation:

Information given

\bar X_{1}=14 represent the mean for sample 1 (younger)

\bar X_{2}=20 represent the mean for sample 2 (older)  

s_{1}=5 represent the sample standard deviation for 1  

s_{f}=6 represent the sample standard deviation for 2  

n_{1}=31 sample size for the group 2  

n_{2}=31 sample size for the group 2  

t would represent the statistic

System of hypothesis

We want to test if  that people under the age of forty have vocabularies that are different than those of people over sixty years of age, the system of hypothesis are:

Null hypothesis:\mu_{1}-\mu_{2}=0  

Alternative hypothesis:\mu_{1} - \mu_{2}\neq 0  

The statistic is given by:

t=\frac{(\bar X_{1}-\bar X_{2})-\Delta}{\sqrt{\frac{\sigma^2_{1}}{n_{1}}+\frac{\sigma^2_{2}}{n_{2}}}} (1)  

And the degrees of freedom are given by df=n_1 +n_2 -2=31+31-2=60  

Replacing the info given we got:

t=\frac{(14-20)-0}{\sqrt{\frac{5^2}{31}+\frac{6^2}{31}}}}=-4.28  

Now we can calculate the p value with the following probability:

p_v =2*P(t_{60}  

The p value is a very low value so then we have enough evidence to reject the null hypothesis and we can conclude that people under the age of forty have vocabularies that are different than those of people over sixty years of age.

6 0
3 years ago
Given f(x) = -x - 3, find f(-6)
sweet-ann [11.9K]

Answer:

plug in -6

-(-6) - 3

the 6 turns into a positive

subtract 3 from 6

= 3

3 0
3 years ago
Gavin’s unpaid credit card balance is $2103.23. His APR is 14.4%.
insens350 [35]

Answer:

b

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
How many times does six go into thirty five
aalyn [17]

Answer:

5.83

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Other questions:
  • The point-slope form of the equation of a line that passes through points (8, 4) and (0, 2) is y – 4 = (x – 8). What is the slop
    9·2 answers
  • in 2010, there were 40 fish in a pond. one year later, the number of fish decreased by 30%. how many fish we're in the pond in 2
    5·1 answer
  • Thank you!!!!!!!!!!!!
    8·1 answer
  • Determine the intercepts of the line.<br><br>8x−5y=−11<br><br>​
    14·1 answer
  • 6 divided by 3 + 4* 2
    12·2 answers
  • Please help me answer c
    8·1 answer
  • What is the value of x4+0.5y3when x=2 and y=4?
    10·1 answer
  • A survey found that 30% of teenagers don’t wear a seatbelt. If five teenagers are selected at random, find the probability that
    15·1 answer
  • . Suppose that the times required for a cable company to fix cable problems in its customers' homes are uniformly distributed be
    13·1 answer
  • Is shape A congruent to shape 82BA
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!