Solving proportions Solve for k. 10 3 k 9 k
2 answers:
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Answer:
Hypothesis Test states that we will accept null hypothesis.
Step-by-step explanation:
We are given that an engineer is comparing voltages for two types of batteries (K and Q).
where, = true mean voltage for type K batteries.
= true mean voltage for type Q batteries.
So, Null Hypothesis, :
{mean voltage for these two types of
batteries is same}
Alternate Hypothesis, :
{mean voltage for these two types of
batteries is different]
<em>The test statistics we use here will be :</em>
follows
where, = 8.54 and
= 8.69
= 0.225 and
= 0.725
= 37 and
= 58
= 0.585 Here, we use t test statistics because we know nothing about population standard deviations.
Test statistics = follows
= -1.219
<em>At 0.1 or 10% level of significance t table gives a critical value between (-1.671,-1.658) to (1.671,1.658) at 93 degree of freedom. Since our test statistics is more than the critical table value of t as -1.219 > (-1.671,-1.658) so we have insufficient evidence to reject null hypothesis.</em>
Therefore, we conclude that mean voltage for these two types of batteries is same.
Answer:
x = √2 + 2, -√2 + 2
Step-by-step explanation:
y = -2(x-2)² + 4
-2(x-2)² + 4 = 0 --- replace y with 0
-2(x - 2)² = -4 --- subtract 4 from both sides
(x - 2)² = --- divide both sides by -2
(x - 2)² = 2 --- simplify
x - 2 = +-√2 --- square root both sides
x - 2 = √2 --- split into 2 equations
x - 2 = -√2
x = √2 + 2 --- solve first equation
x = -√2 + 2 --- solve second equation
x = √2 + 2, -√2 + 2