The true speed and direction of the football thrown by the quarterback is 30.185 mph and 9⁰ respectively.
<h3>
Relative velocity of the football</h3>
The true speed and direction of the football is determined by applying the concept of relative velocity.
Vr/w = Vb - Vw
where;
- Vr/w is the velocity of the football with respect to the wind
- Vb is the velocity of the football
- Vw is the velocity of the wind
Vr/w = 41 mph - 11 mph = 30 mph
The direction speed can be determined by sketching a triangle
Direction of the speed, θ = (360 - 339) - (180 - 168)
θ = 21 - 12 = 9⁰
<h3>Resultant speed;</h3>
R² = 41² + 11² - 2(41 x 11 x cos9)
R² = 911.105
R = √911.105
R = 30.185 mph
Thus, the true speed and direction of the football thrown by the quarterback is 30.185 mph and 9⁰ respectively.
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The best and most correct answer among the choices provided by your question is the fourth choice or letter D. The probability is 4/5.
<span>P ( canadian)= 3/15 = 1/5
On the other hand, P (not canadian) = 1 - 1/5 = 4/5</span>
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Answer:
Step-by-step explanation:
The prices of quoted of auto repairs are as listed below;
$139, $150, $345, $99, $167, $155, $140, $200.
For her to check whether there is an outlier in the data, she needs to find the mean of the set of data. An outlier is a value in a set of a data that varies considerably from other data in a dataset. It may be larger or smaller than other set of datas. An outlier can affect the decision of a set of data to be analysed if nor taken care of.
From the data, the possible outliers are $99 and $345
Mean of the data = sum of all the prices/sample size
xbar = \sum Xi / N
Xi are individual datas
\sum Xi = $139+$150+$345+$99+$167+$155+$140+$200+$160
\sumXi = $1555
Sample size = 9
Mean = $1555/9
Mean = $172.78
Hence the value that would best represent the central tendency is $177.78
Answer:
S=16×2
S=32
................................
What we know:
3.14 pi
radius: 7in.
Result units: in^3, this is the results of in used for radius; no conversion needed
Formula volume of a sphere: (4/3)* pi * r^3
(4/3)(3.14)(7)(7)(7)
(4/3)(3.14)(343)
(4/3)(1077.02)
(1.3)(1077.02) \\repeated 3 infinite
1436.026666\\repeated 6inf
The volume of the sphere is about 1436.0266 in^3
