Hello!
These | | you are seeing means absolute value. Absolute value is the distance a number is from 0. For example, the absolute value of -3, or |-3|, would be 3 as -3 is 3 away from 0.
Therefore, we can look at these two operations. |-12|, and |8|
|-12| would equal 12, as -12 is 12 away from 0. |8| would equal 8, as 8 is 8 away from 0. 12 is greater than 8.
Therefore, your answer is the second choice, |-12|>|8|.
Hope this helps!
Answer:
The calculated χ² = <u> 0.842 </u> does not fall in the critical region χ² ≥ 5.99 so we accept the null hypothesis that all the proportions are equal and there is not enough evidence to doubt the supermarket's claim.
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Step-by-step explanation:
1) We set up our null and alternative hypothesis as
H0: p1= 5/18, p2= 4/18, p3= 9/18
against the claim
Ha: p1≠ 5, p2≠ 4, p3≠ 9
2) the significance level alpha is set at 0.05
3) the test statistic under H0 is
χ²= ∑ (O - E)²/ E where O is the observed and E is the expected frequency
which has an approximate chi square distribution with 2 d.f
4) Computations:
Observed Expected χ²= ∑ (O - E)²/ E
5 5.4 0.0296
4 5.4 0.3629
<u>9 7.2 0.45 </u>
<u>∑ 0.842 </u>
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5) The critical region is χ² ≥ χ² (0.05)2 = 5.99
6) Conclusion:
The calculated χ² = <u> 0.842 </u> does not fall in the critical region χ² ≥ 5.99 so we accept the null hypothesis that all the proportions are equal and there is not enough evidence to doubt the supermarket's claim.
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Answer:
y= -4 - 1x
Step-by-step explanation:
You would divide 12 and 3x by -3. 12 divided by -3 is -4. 3x divided by 3 would be negative 1, or -x. Therefore, the slope intercept form would be y = -4 - 1x.
Answer:
About 21.457 years
Step-by-step explanation:
You can solve this by setting up a simple equation.
log base 1.04 2.32=x
years
Hope this helps!
3/10x-3/5
=3/10x-6x/10x
=(3-6x)/10x