For 13. just add all the sides.
4 + 21 + 23 + 7 + 9 = 64
For 14. multiply width and height of both shapes then add them together.
1.7 x 5.2 = 3.74 ( rectangle area )
3.0 x 3.0 divided by 2 = 4.5 ( triangle area )
Add the two answers
3.74 + 4.5 = 8.24
Percent increase is:
Change/original * 100
(29975-24400)/24400
5575/24400= .228 * 100=
22.8%
Answer:
Option B. 3/4 > 2/3 is the correct answer.
Step-by-step explanation:
Lets look at the options one by one
A. 1/2 < 1/3
This inequality converts into 0.5<0.33 which is false.
B. 3/4 > 2/3
This simplifies to 0.75>0.666 which is true.
C. -1/4 < - 2/3
This converts to -0.25<-0.666 which makes the inequality false.
D. -1 > 3/4
This converts to -1>0.75 which makes the inequality false.
Hence,
Option B. 3/4 > 2/3 is the correct answer.
Answer:
Step-by-step explanation:
Hello!
The researcher developed a treatment to teach social skills to youth offenders. To test if the treatment is effective in increasing empathy compared to the standard treatment she randomly selected a group of 9 offenders and applied the new treatment and to another group of 9 randomly selected youth offenders, she applied the standard treatment. (Note: the data corresponds to two samples of 9 units each, so I've used those sizes to conduct the test)
At the end of the treatment, she administers BES to measure their empathy levels. Her claim is that the offenders that received the new treatment will have higher BES scores than those who received the standard treatment.
1) Using the records obtained for both groups, she intends to conduct an independent t-test to analyze her claim.
X₁: BES results of a youth offender treated with the new treatment.
X₂: BES results of a youth offender treated with the standard treatment.
H₀: μ₁ = μ₂
H₁: μ₁ ≠ μ₂
α:0.05
test statistic

p-value: 0.7517
The p-value is greater than the significance level so the decision is to not reject the null hypothesis. This means that at a 5% significance level you can conclude that there is no difference between the mean BES scores of the youth offenders treated with the new treatment and the mean BES score of the youth offenders treated with the standard treatment. The new treatment doesn't increase the levels of social empathy of the youth offenders.
I hope this helps
(Box plot in attachment)