Answer:
-27a³b⁶ + 8a⁹b¹²
Explanation:
Every term in the expression above every term is a perfect cube.
In the first term (-27a³b⁶), -27 is a perfect cube of -3 while the exponents of a and b are both divisible by three.
In the second term (8a⁹b¹²),8 is a perfect cube of 2 while the exponents of a and b are divisible by three.
If the index of a number is divisible by three to give a whole number, the result of finding the cube root is a whole number hence a perfect cube root.
The group that became inspired by the words of President John F. Kennedy are:
- The students who later formed the Peace Corps
<h3>When did President John F. Kennedy give the speech?</h3>
John F. Kennedy made a speech on March 1, 1961, that gave birth to the Peace Corps.
In that speech, he encouraged Americans to volunteer their services to developing countries and there was an enthusiastic response to this. The movement has continued to date.
Learn more about the Peace Corps here:
brainly.com/question/820751
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Answer:
The transitional period of human life which comes between childhood and adult stage is called adolescence. In this period everybody has to face some natural changes.
Adolescence is called the periodof strom and stress because as it is known as a changing period in which various changes occur in human life. so, as the adolescents are new to the various changes they are bit scared about the changes . similarly they also have various feelings live love, hatered, shyness etc. and sometime they may also go in depression. <em>so</em><em> </em><em>this</em><em> </em><em>period</em><em> </em><em>is</em><em> </em><em>known</em><em> </em><em>as</em><em> </em><em>period</em><em> </em><em>of</em><em> </em><em>stress</em><em> </em><em>and</em><em> </em><em>strom</em><em>.</em>
<em><u>hope</u></em><em><u> </u></em><em><u>it</u></em><em><u> </u></em><em><u>helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>
Answer:
0.456
0.324
Explanation:
The null and alternative hypothesis :
H0 : p = 0.40; HA :p < 0.40
Test statistic :
(Ph - P) / sqrt[(p*(1-p))/n]
Ph = X / n
X = 34 ; n = sample size = 80
Ph = 34 / 80 = 0.425
(0.425 - 0.4) / sqrt[(0.4(0.6)) / 80]
0.025 / sqrt(0.003)
0.025 / 0.0547722
Test statistic = 0.4564359
Test statistic = 0.456
Using the P-value from Zscore calculator :
Significance level of 95% ; one tailed
Z statistic value = 0.456
P value = 0.324195
= 0.324 ( 3 decimal places)