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4 years ago

Major help and if you can, please explain how you got your answer

Mathematics

1 answer:

hjlf4 years ago

8 0

The correct answer is: [A]: " 384 in² " .
_______________________________________________________

Explanation:
______________________________________________________
The formula for the surface area of a cube is:
______________________________________________________

→ A = 6a² ;
______________________________________________________ → in which:
______________________________________________________
  A = surface area of the cube— for which we shall solve ;
(in "square units" ; or, " in² " ; in our case) ;

a = side length = " 8 in " (given);

→ Note: A cube has all equal side lengths.

→ The "6" in the formula accounts for "6 sides" of a cube.

_______________________________________________________

→ To solve for the surface area of the cube; plug in our known value(s);
& solve; as follows:
_______________________________________________________
  → A = 6 a² ;

= 6 * (8 in)² ;

= 6 * 8² * in² ;

= 6 * 8 * 8 * in² ;

= 48 * 8 * in² ;

= 384 in² ;
_______________________________________________________
The answer is: " 384 in² " ;

→ which is: Answer choice: [A]: " 384 in² " .
_______________________________________________________

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OleMash [197]

Answer:

a) P=0.2861

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c) P=0.3815

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Step-by-step explanation:

The question is incomplete:

Among the N=16 students taking a graduate statistics class, A=10 are master students and the other N-A=6 are doctorial students. A random sample of n=5 students is going to be selected to work on a class project. Use X to denote the number of master students in the sample. Keep at least 4 decimal digits if the result has more decimal digits.

a) The probability that exactly 4 master students are in the sample is closest to?

b) The probability that all 5 students in the sample are master students is closest to?

c) The probability that at least 4 students in the sample are master students is closest to?

d) The probability that at most 3 students in the sample are master students is closest to?

We use a binomial distribution with n=5, with p=10/16=0.625 (proportion of master students).

$P(k=4)=\binom{5}{4}p^4q^1=5*0.625^4*0.375=5*0.1526*0.3750\\\\P(k=4)=0.2861$

$P(k=5)=\binom{5}{5}p^5q^0=1*0.625^5*1=\\\\P(k=4)=0.0954$

$P(k\geq4)=P(k=4)+P(k=5)=0.2861+0.0954=0.3815$

$P(k\leq3)=1-P(x\geq4)=1-0.3815=0.6185$

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4 years ago

So for this question would it be 1?

Nutka1998 [239]

Yes it would be one because anything with the 0 on the upper corner is 1

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3 years ago

A cylinder with base area 25 pi cm squared and height 3 cm more than the radius

Alina [70]

The correct question is
Find the volume of a cylinder with base area 25 pi cm squared and height 3 cm more than the radius

we know that
[the volume of a cylinder]=[area of the base]*[height]
[area of the base]=25pi cm²
[area of the base]=pi*r²--------> r²=[area of the base]/pi----> r²=25pi/pi
r²=25--------> r=5 cm

the height is 3 cm more than the radius
so
height=3+5-----> height=8 cm

[the volume of a cylinder]=[25pi]*[8]------> 200pi cm³

the answer is
200pi cm³

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