At a carnival, a particular game requires the player to spin a wheel. When a child plays, the game operator allows them to conti
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<h2>Hello!</h2>
The answer is:
The slant height is 13.43 m.
To solve the problem, we need to use the following equations to calculate the total surface area and the lateral surface area of right cone:
Where,
r, is the radius of the cone.
l, is the slant height of the cone.
We are given the following information:
So, calculating the area of the base(circle) in order to find the lateral surface area, we have:
Then, substituting the area of the base into the total surface area to calculate the surface area of the cone, we have:
Now, calculating the slant height, we have:
Substituting, we have:
Hence, we have that the slant height is 13.43 m.
Have a nice day!
Answer:
Step-by-step explanation:
Hello!
To test if boys are better in math classes than girls two random samples were taken:
Sample 1
X₁: score of a boy in calculus
n₁= 15
X[bar]₁= 82.3%
S₁= 5.6%
Sample 2
X₂: Score in the calculus of a girl
n₂= 12
X[bar]₂= 81.2%
S₂= 6.7%
To estimate per CI the difference between the mean percentage that boys obtained in calculus and the mean percentage that girls obtained in calculus, you need that both variables of interest come from normal populations.
To be able to use a pooled variance t-test you have to also assume that the population variances, although unknown, are equal.
Then you can calculate the interval as:
[(X[bar]_1-X[bar_2) ± *
]
[(82.3-81.2) ± 1.708* (6.11*]
[-2.94; 5.14]
Using a 90% confidence level you'd expect the interval [-2.94; 5.14] to contain the true value of the difference between the average percentage obtained in calculus by boys and the average percentage obtained in calculus by girls.
I hope this helps!