Answer:
45.27feet
Step-by-step explanation:
Given the height of the balloon (in feet) represented by the equation h=−16t2+28.7t+32.4, where t is the time (in seconds)
Note that the velocity of the balloon at maximum height is zero, hence;
v = dh/dt =0
-32t+28.7 = 0
-32t = -28.7
t = 28.7/32
t = 0.897secs
Get the maximum height
Recall that h=−16t²+28.7t+32.4
h = -16(0.897)²+28.7(0.897)+32.4
h= -12.87+25.74+32.4
h = 45.27feet
Hence the maximum height reached is 45.27feet
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132*42% = 55.44
132 - 55.44 = 76.56
So, the Millers paid $55.44 for gas and $76.56 for electricity.
Missing info:
Turkey Sizes:
<span>small - 2kg - 3.9kg </span>
<span>medium - 4kg - 5.4kg </span>
<span>large - 5.5kg - 7.2kg </span>
<span>extra large - 7.3kg - 9.2kg </span>
<span>Turkey Prices: </span>
<span>Small / Medium - £5.99 per kg </span>
<span>Large / Extra Large - £4.99 per kg
</span>
3/4 lb x 14 persons = (3*14)/4 = 42/4 = 10.5 lbs
1 lb = 450 grams
10.5 lbs * 450grams/lb = 4,725 grams
1 kg = 1000 grams
<span>4,725 grams * 1kg/1000 grams = 4725 kg / 1000 = 4.725 kg.
4.725 kg is under the Medium size of the Turkey.
Medium sized turkey costs </span>£<span>5.99 per kg.
4.725 kg * </span>£5.99 per kg = £<span>28.30
A turkey would cost </span> £<span>28.30 for 14 people.</span>
Using the normal distribution, it is found that 58.97% of students would be expected to score between 400 and 590.
<h3>Normal Probability Distribution</h3>
The z-score of a measure X of a normally distributed variable with mean 
and standard deviation 
is given by:
- The z-score measures how many standard deviations the measure is above or below the mean.
- Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
The mean and the standard deviation are given, respectively, by:
The proportion of students between 400 and 590 is the <u>p-value of Z when X = 590 subtracted by the p-value of Z when X = 400</u>, hence:
X = 590:
Z = 0.76
Z = 0.76 has a p-value of 0.7764.
X = 400:
Z = -0.89
Z = -0.89 has a p-value of 0.1867.
0.7764 - 0.1867 = 0.5897 = 58.97%.
58.97% of students would be expected to score between 400 and 590.
More can be learned about the normal distribution at brainly.com/question/27643290
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