Answer:
( x y -6)² = x² y² - 12 xy + 36
Step-by-step explanation:
<u><em>Explanation:-</em></u>
Given that the expression ( x y -6)²
Apply formula (a-b)² = a² -2ab + b²
( x y -6)² = (xy)² - 2 × xy× 6 + (6)²
= x² y² - 12 xy + 36
( x y -6)² = x² y² - 12 xy + 36
The value of x is 4. So 40000 mg= 40 g.
Step-by-step explanation:
The given is 40000mg = 10x g
Step:1
Take given equation as equation (1)
40000 mg= 10x g.................(1)
where, X is known value.
Step:2
Standard value for mg to g for the purpose of conversion of units,
1 milligram = 0.001 gram (or)
1 gram = 1000 milligram
Step:3
From the standard data values,
= 40000 mg
it converted mg to g by dividing 1000
=
g
= 40 g.......................(2)
Step:4
From the Equations (1) and (2),
40=10x
x=4
Result:
The value of x is 4. So, 40000mg = 40 g.
Answer:
So we reject the null hypothesis and accept the alternate hypothesis that rats learn slower with sound.
Step-by-step explanation:
In this data we have
Mean= u = 18
X= 38
Standard deviation = s= 6
1) We formulate the null and alternate hypothesis as
H0: u = 18 against Ha : u > 18 One tailed test .
2) The significance level alpha = ∝= 0.05 and Z alpha has a value ± 1.645 for one tailed test.
3)The test statistics used is
Z= X- u / s
z= 38-18/6= 3.333
4) The calculated value of z = 3.33 is greater than the z∝ = 1.645
5) So we reject the null hypothesis and accept the alternate hypothesis that rats learn slower with sound.
First we set the criteria for determining the true of value of the variable. That whether the rats learn in less or more than 18 trials.
Then we find the value of z for the given significance value given and the test about to be checked.
Then the test statistic is determined and calculated.
Then both value of z and z alpha re compared. If the test statistics falls in the rejection region reject the null hypothesis and conclude alternate hypothesis is true.
The figure shows that the calulated z value lies outside the given z values
Answer: 288
Workings : 16 x 12 =192 (for bottom rectangle bit) 12x 16 =192 then divide 192 by 2 =96 add them together and its 288