Mr. Leonard gets £ 45.84375 as discount
<em><u>Solution:</u></em>
The oil tank can take up to 1200 liters of oil
There are already 450 liters of oil in the tank
The remaining oil which is to be added is given by :
Remaining oil = 1200 - 450 = 750 liters
The price of oil is 81.5 p per liter
<em><u>Then calculate the total price of 750 L of oil:</u></em>
Thus total price is 61125 p
Mr Leonard gets a 7.5% discount on the price of the oil
Therefore,
Discount amount = 7.5 % of 61125
Thus he gets 4584.375 p
We convert p to £
1 p = 0.01£
4584.375 x 0.01 = £ 45.84375
Thus he gets £ 45.84375 as discount
S+g=316 "s"=strawberry "g"=grape
g=52+s
plug in for "g" to find "s"
s+(52+s)=316
2s+52=316
2s=316-52
2s=264
s=264/2
s=132
find "g"
g=52+132
g=184
Answer:
The probability that the average score of the 49 golfers exceeded 62 is 0.3897
Step-by-step explanation:
The average score of all golfers for a particular course has a mean of 61 and a standard deviation of 3.5
We are supposed to find he probability that the average score of the 49 golfers exceeded 62.
Formula : 
Refer the z table for p value
p value = 0.6103
P(x>62)=1-P(x<62)=1-0.6103=0.3897
Hence the probability that the average score of the 49 golfers exceeded 62 is 0.3897
<span>Highest point = 1406.25
Number of seconds = 9.375
We've been given the quadratic equation y = -16t^2 + 300t which describes a parabola. Since a parabola is a symmetric curve, the highest value will have a t value midway between its roots. So using the quadratic formula with A = -16, B = 300, C = 0. We get the roots of t = 0, and t = 18.75. The midpoint will be (0 + 18.75)/2 = 9.375
So let's calculate the height at t = 9.375.
y = -16t^2 + 300t
y = -16(9.375)^2 + 300(9.375)
y = -16(87.890625) + 300(9.375)
y = -1406.25 + 2812.5
y = 1406.25
So the highest point will be 1406.25 after 9.375 seconds.
Let's verify that. I'll use the value of (9.375 + e) for the time and substitute that into the height equation and see what I get.'
y = -16t^2 + 300t
y = -16(9.375 + e)^2 + 300(9.375 + e)
y = -16(87.890625 + 18.75e + e^2) + 300(9.375 + e)
y = -1406.25 - 300e - 16e^2 + 2812.5 + 300e
y = 1406.25 - 16e^2
Notice that the only term with e is -16e^2. Any non-zero value for e will cause that term to be negative and reduce the total value of the equation. Therefore any time value other than 9.375 will result in a lower height of the cannon ball. So 9.375 is the correct time and 1406.25 is the correct height.</span>
