Figure on top is 8 times 9 (to find volume)
the figure on top has a volume of 72 cm<span>^3
the volume of the lower figure:
3 times 9 times 5 = 135 cm</span><span>^3
72+135=207 cm</span><span>^3
the volume of both figures is 207 cm</span><span>^3</span>
Answer:
x=70
Step-by-step explanation:
x/10=7
First you need to get the x by itself, so you should do the opposite of what is happening to the x.
In this case the x is being divided so you would need to multiply.
So multiply the x by 10 and this gets it by itself.
But you have to do to one side what you do to the other.
So multiply the other side by 10 as well!
This equals x=70
To show work on both sides, show the multiplication of both sides by 10
Answer:
Step-by-step explanation:
Parameterize the ellipse as (acos∙,bsin∙). Take points P:=(acosp,bsinp) and Q:=(acosq,bsinq) on the ellipse, with midpoint M:=(P+Q)/2.
If |PQ|=2k, then
a2(cosp−cosq)2+b2(sinp−sinq)2=4k2
The coordinates of M are
xy==a2(cosp+cosq)b2(sinp+sinq)
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 .]
