You do 50 divided by 10 and you get 5 and that's as far as you can get
Answer:
The probability that sample mean differ the true greater than 2.1 will be 2.8070 %
Step-by-step explanation:
Given:
Sample mean =46 dollars
standard deviation=8
n=53
To Find :
Probability that sample mean would differ from true mean by greater than 2.1
Solution;
<em>This sample distribution mean problem,</em>
so for that
calculate Z- value
Z=(sample mean - true mean)/(standard deviation/Sqrt(n))
Z=-2.1/(8/Sqrt(53))
Z=-2.1*Sqrt(53)/8
Z=-1.91102
Now for P(X≥2.1)=P(Z≥-1.91102)
Using Z-table,
For Z=-1.91
P(X>2.1)=0.02807
slope = 13
the slope of the tangent is f'( 4)
given f(x) = x² + 5x , then f'(x) = 2x + 5
and f'(4) = ( 2 × 4 ) + 5 = 13
Width = x
Length = x+18
Assuming the table is rectangular:
Area = x(x + 18)
Therefore:
x(x + 18) <span>≤ 175
x^2 + 18x </span><span>≤ 175
Using completing the square method:
x^2 + 18x + 81 </span><span>≤ 175 + 81
(x + 9)^2 </span><span>≤ 256
|x + 9| </span><span>≤ sqrt(256)
|x + 9| </span><span>≤ +-16
-16 </span>≤ x + 9 <span>≤ 16
</span>-16 - 9 ≤ x <span>≤ 16 - 9
</span>-25 ≤ x <span>≤ 7
</span><span>
But x > 0 (there are no negative measurements):
</span><span>
Therefore, the interval 0 < x </span><span>≤ 7 represents the possible widths.</span><span>
</span>
Answer:
<u>True Statements:</u>
"Kaylee's necklace can have 25 pieces of rotelle"
"Kaylee's necklace can have 10 macaroni noodles and 15 pieces of rotelle"
"Kaylee's necklace can have 1 macaroni noodle"
Step-by-step explanation:
First condition:
max pieces is 25
Checking the choices, we eliminate anyone having more than 25 pieces.
choice 1 - 26 piece NO
choice 2 - 25 piece OK
choice 3 - 25 piece OK
choice 4 - 25 piece OK
choice 5 - 1 piece OK
choice 6 - 25 piece OK
So we eliminate first choice. Now, 2nd condition is 15 macaroni or 50 rotelle, so that's 50/15 = 3.33 rotelle = 1 macaroni
We check each choice and convert macaroni to rotelle and make sure they are under 50
choice 2 - 25 rotelle, so OK
choice 3 - 10*3.33 + 15 = 48.3, under 50, so OK
choice 4 - 14*3.33 + 11 = 57.62, NOT OK
choice 5 - 1*3.33 = 3.33 rotelle OK
choice 6 - 16*3.33 + 9 = 62.28 rotelle , NOT OK
So finally, the statements that are TRUE are:
Choice 2, Choice 3, Choice 5