Answer: c. z = 1.35; Reject the null hypothesis
Step-by-step explanation:
Let
be the average life expectancy of its batteries.
As per given , we have
Null hypothesis : 
Alternative hypothesis : 
Since
is right-tailed and population standard deviation is also known, so we perform right-tailed z-test.
Test statistic : 
where, n= sample size
= sample mean
= Population mean
=population standard deviation
For
, we have

Critical one-tailed test value for 0.10 significance level :

Decision : Since critical z value (1.28) < test statistic (1.35), so we reject the null hypothesis .
[When critical value is less than the test statistic value , we reject the null hypothesis .]
Can you repost this with the picture
The value of the differential with respect to x is -xy/x²+ay
<h3>Implicit differentiation</h3>
Given the following function
x²y +ay² = b
We are to differentiate implicitly with respect to x
x²dy/dx + 2xy + 2aydy/dx = 0
(2x²+2ay)dy/dx = -2xy
dy/dx = -xy/x²+ay
Hence the value of the differential with respect to x is -xy/x²+ay
Learn more on implicit differentiation here: brainly.com/question/25081524
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(2x+4)+(4x+2)+(2x-1)=180
8x+5=180°
8x=180-5
8x=175
X=21.875
A= 2(21.875)+4=47.75
B=4(21.875)+2 =89.5
C=2(21.875)-1=42.75
Answer:
The value of the equation
.
Step-by-step explanation:
Consider the provided equation.

We need to solve the provided equation for y.
Subtract 3x from both side.


Divide both sides by 7.


Hence, the value of the equation is
.