Answer:
And if we solve for a we got
And the limits for this case are: (214.4; 295.4)
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the annual precipitation of a population, and for this case we know the distribution for X is given by:
Where 
and 
The confidence level is 95.44 and the signficance is 
and the value of 
. And the critical value for this case is 
Using this condition we can find the limits
And if we solve for a we got
And the limits for this case are: (214.4; 295.4)
Answer: She bought 6 $5 magazines and 5 $4 magazines
Step-by-step explanation:
It'd be 9.096491 hope that helps.
Answer:
16 in × 20 in
Step-by-step explanation:
- Finding the % of the picture that can fit in 16×20 frame
Area of picture= length by width
=4*6=24 in²
Area of frame=Length by width
=16*20=320 in²
% of the picture in the frame will be
(24/320) * 100% =7.5%
2. Finding the % of the picture that can fit in 18 × 24 frame
Area of picture=24 in²
Area of frame =Length by width
=18*24=432 in²
% of the picture in the frame will be;
(24/432)*100%=5.6%
The frame 16 by 20 in will keep 7.5% of the original picture
The frame 18 by 24 in will keep 5.6% of the original picture
Hence you should use the frame of 16 by 20 in because it will keep more of the original picture.
Answer:
The height of the triangle is 
cm.
Step-by-step explanation:
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The formula for solving the area of a triangle is 
where 
stands for base and 
stands for height.
Let's substitute 30 
for the area and 10 for the base.
-------------------->>>>
Now, let's solve to find the height.
Multiply 
times 
Divide both sides by 5.
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Hope this is helpful.
