Answer:
x =1/625 or 0.0016
Step-by-step explanation:
i am smart
Answer:
5^1
Step-by-step explanation:
(law of indices - fractional powers)
after converting all the numbers to this form:

combine using law of indices:
5^(2/3+1/2-1/6) = 5^1
Answer:
See below
Step-by-step explanation:
<u>Given</u><u> </u><u>:</u><u>-</u><u> </u>
<u>To </u><u>Prove</u><u> </u><u>:</u><u>-</u><u> </u>
<u>Proof</u><u> </u><u>:</u><u>-</u><u> </u>
Here we are required to prove that ,
And here it's given that , y || z . Therefore ,
- ∠3 = ∠6 ( alternate interior angles )
- ∠1 = ∠5 ( alternate interior angles )
Now we know that the measure of a straight line is 180°. Therefore ,
Hence Proved !
Answer:
Step-by-step explanation:
See attached worksheet
Answer:
With regard to intelligence scores, at 95% confidence level, there is significant evidence to conclude that violent offenders are less intelligent than property offenders
Step-by-step explanation:
H_a: Violent offenders are less intelligent than property offenders
H_o: Violent offenders and property offenders do not differ significantly with regard to intelligence scores
Test statistic can be found using the formula
z=
where
- X is the mean IQ score of property offenders (96)
- Y is the mean IQ score of violent offenders (88)
- s(x) is the sample standard deviation of property offenders (8.5)
- s(y) is the sample standard deviation of violent offenders (7.5)
- N(x) is the sample size for property offenders (225)
- N(y) is the sample size for violent offenders (200)
then z=
≈10.3
One tail p-value of the test statistic is < 0.00001
Since p-value<0.05 (significance level) we reject the null hypothesis.