Answer:
98.01% probability of getting 5 clean sheets
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this problem, the order that the sheets are chosen is not important, so we use the combinations formula to solve this problem.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
0.4% of the sheets contain spots
Of 500, that is 0.004*500 = 2.
What is the probability of getting 5 clean sheets although 0.4% of the sheets contain spots?
Desired outcomes
2 are defective, so 5 sheets from a set of 500 - 2 = 498.
Total outcomes
5 sheets from a set of 500.
Probability:
98.01% probability of getting 5 clean sheets
The complete questions is:
The ice cream shop needs 5 pounds of strawberries for every gallon of strawberry ice cream. the shop chooses to produce 4 gallons of chocolate ice cream. how many pounds of strawberries should the shop purchase?
Pounds of strawberry ice cream needed to be bought by the shop exists 20 pounds.
<h3>How many gallons of strawberry ice cream can the shop efficiently produce?</h3>
The ice cream shop requires 5 pounds of strawberries for every gallon of strawberry ice cream and the shop chooses to make 4 gallons of ice cream,
Quantity of chocolate ice cream created in the shop = 4 gallons
Quantity of strawberries needed for each gallon of ice cream = 5 pounds
Pounds of strawberries needed to be bought by the shop = Quantity of chocolate ice cream created by the shop 
Quantity of strawberries needed for each gallon of ice cream
= 20 pounds.
Pounds of strawberries needed to be bought by the shop exists 20 pounds.
To learn more about the word problem refer to:
brainly.com/question/12333642
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Answerhold on I got you
Step-by-step explanation:
We know that
Triangle Inequality Theorem establishes that the sum of the lengths of any two sides of a triangle<span> is greater than the length of the third side
</span>so
case <span>A. 5M, 11M, 7M
5+11 > 7----> ok
11+7 > 5 ---> ok
5+7 > 11----> ok
case </span><span>B.10 m, 4 m, 5 m
5+4 > 10-----> is not ok
case </span><span>C.8 m, 4 m, 4 m
4+4 > 8----> is not ok
case </span><span>D.6 m,11 m, 5 m
6+5 > 11-----> is not ok
the answer is
</span><span>A. 5M, 11M, 7M</span>
Answer:
-1,3i,-3i
Step-by-step explanation:
X^3+x^2=-9x-9
x^3+x^2+9x+9=0
x^2(x+1)+9(x+1)=0 factorize by taking x+1 common factor
(x+1)(x^2+9)=0
x+1=0 then x=-1
(x^2+9)=0 then x=+ 0r - 3i
