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Oksana_A [137]
4 years ago
11

Six is less than or equal to the sum of 4 and -2x

Mathematics
1 answer:
lukranit [14]4 years ago
3 0
6 ≤ 4 + (-2x)
6 (-4) ≤ 4 - 2x - 4
4 and 4 cancels out
2 ≤ -2x

-1≥x


When you divide by a negative number, the inequality sign turns to the other side.



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For the following hypothesis test, H0: μ ≥ 150Ha: μ < 150​the test statistic a. must be positive. b. must be negative. c. can
Virty [35]

Answer:

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}} (1)      

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

And since we are conducting a lower unilateral lest  then we expected that the value for the statistic would be negative. And the correct answer would be:

b. must be negative

Step-by-step explanation:

Data given and notation      

\bar X represent the sample mean    

s represent the standard deviation for the sample      

n sample size      

\mu_o =150 represent the value that we want to test    

\alpha represent the significance level for the hypothesis test.    

t would represent the statistic (variable of interest)      

p_v represent the p value for the test (variable of interest)  

State the null and alternative hypotheses.      

We need to conduct a hypothesis in order to determine if the mean is lower than 150, the system of hypothesis would be:      

Null hypothesis:\mu \geq 150      

Alternative hypothesis:\mu < 150      

We don't know the population deviation, so for this case is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:      

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}} (1)      

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

And since we are conducting a lower unilateral lest  then we expected that the value for the statistic would be negative. And the correct answer would be:

b. must be negative

7 0
4 years ago
PLEASE HELP FAST!
Flura [38]
2² · 3³ · 5 · 7
Is the answer and the lowest common multiple is 1260.

Hope this helps :)
6 0
4 years ago
PLEASE HELP I believe you have to use substitution or elimination to solve the problem.
zepelin [54]

<u>Answer:</u>

Amount collected in 2012 = 3.49

and in 2013 = 3.35

<u>Explanation:</u>

Let x be the baggage fees collected in 2013 and

y be the baggage fees collected by airlines in 2012

From the given question we can obtain two equations as follows:

x + y = 6.84 $   - eq 1

and

y = 0.14 + x

as fees in 2012 exceeds that in 2013 by 0.14$

Now, solving these two equations by substitution,

we substitute  y = 0.14 + x in eq 1

and solve for x,

which gives us x = 3.35 and

substituting this value in eq 1

we get y = 3.49

6 0
3 years ago
What is the quotient of [picture below]?
Effectus [21]

Answer:

Step-by-step explanation:

7 0
3 years ago
Please help me. <br> I don’t understand
mestny [16]

Answer:

x = c. 12

Step-by-step explanation:

As it is said that the triangles are similar so

\frac{x}{9} =  \frac{6 + 2}{6}

\frac{x}{9}  =  \frac{8}{6}

Now cross multiply

6x = 72

x = 72 / 6

Therefore x = 12

Hope it will help :)

3 0
3 years ago
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