Answer:
Step-by-step explanation:
Given that:
Batting average = 0.25 after 160 times at bat;
Batting Average = Number of hits / number of times at bat
0.25 = number of hits / 160
Number of hits = 0.25 * 160 = 40
He want batting average to improve to 0.333 ; if he makes hit the next x times at bat ; number of hits is needed to improve batting average
Hence,
New average = number of hits / number of times at bat
0.333 = (number of hits + x) / (160 + x)
0.333 = (40 + x) / (160 + x)
Typically, the equation of a circle is given like this: (x-h)^2 + (y-k)^2 = r^2, where r is the radius of the circle and the point (h,k) is the center. To find the value k, you need to put the first equation you have into this form. Standard form requires that you only have the1 y variable, as seen in the parentheses, so you first need to complete the square.
x^2 + y^2 - 2y = 11
x^2 + y^2 - 2y +1 = 11 + 1
x^2 + (y - 1)^2 = 12
And that puts the equation in standard form. k = 1.
Answer: 90% confidence interval would be 
Step-by-step explanation:
Since we have given that
n₁ = 50
Number of metal tagged penguins survived = 10
So, 
n₂ = 50
Number of electronic tagged penguins = 18
So, 
So, at 90% confidence interval, z = 1.28
So, interval would be
Hence, 90% confidence interval would be
Amanda needs to pay 1440 cedis for purchasing 8 cakes on discounted price.
<h3>
What is Cost Price?</h3>
Cost price is the amount we pay to buy an item at which it is available.
Here,
Selling price of a cake = 200 cedis
Discount because of sale = 10% on each unit.
(Only if 4 cakes purchased at a time)
Amanda purchased 8 cakes
So, Amanda need to pay only 90 percent of the total amount.
Total cost price of 8 cakes for Amanda = (200 X 90%) X 8
= 180 X 8
= 1440
Thus, Amanda needs to pay 1440 cedis for purchasing 8 cakes on discounted price.
Learn more about Cost Price from:
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Answer:
the answer would be 2x^2-4x
