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Softa [21]
3 years ago
5

The volume of a cube depends on the length of its sides. This can be written in function notation as v(s). What is the best inte

rpretation of v(2) = 8?
A. A cube with a volume of 2 cubic feet has side lengths of 8 feet.
B. 2 of these cubes will have a total volume of 8 cubic feet.
C. 2 sides of the cube have a total length of 8 feet.
D. A cube with side lengths of 2 feet has a volume of 8 cubic feet.
Mathematics
2 answers:
k0ka [10]3 years ago
6 0
I believe the correct answer from the choices listed above is option D. The best interpretation of the function given as v(2) = 8 would be that a cube with side lengths of 2 feet has a volume of 8 cubic feet. Hope this answers the question. Have a nice day.
stellarik [79]3 years ago
5 0

Let

s--------> the length side of the cube

we know that

the volume of the cube is equal to

V(s)= s^{3}

if the length side s is equal to 2\ feet

then

s=2\ feet

and the volume is equal to

V(2)= 2^{3}

V(2)= 8\ feet^{3}

therefore

<u>the answer is the option</u>

D. A cube with side lengths of 2 feet has a volume of 8 cubic feet.

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Fynjy0 [20]

Step-by-step explanation:

Given that,

a)

X ~ Bernoulli (p_x) and Y ~ Bernoulli (y_x)

X + Y = Z

The possible value for Z are Z = 0 when X = 0 and Y = 0

and Z = 1 when X = 0 and Y = 1 or when X = 1 and Y = 0

If X and Y can not be both equal to 1 , then the probability mass function of the random variable Z takes on the value of 0 for any value of Z other than 0 and 1,

Therefore Z is a Bernoulli random variable

b)

If X and Y can not be both equal to  1

then,

p_z = P(X=1 or Y=1)\\

p_z = P(X=1)+P(Y=1)-P(=1 and Y =1)

p_z = P(x=1)+P(Y=1)\\\\p_z=p_x+p_y

c)

If both X = 1 and Y = 1 then Z = 2

The possible values of the random variable Z are 0, 1 and 2.

since a  Bernoulli variable should be take on only values 0 and 1 the random variable Z does not have Bernoulli distribution

7 0
3 years ago
Which of the following is not equal to sin⁡(-230°)?
xenn [34]

From trigonometry we know that:

if sin(\theta)=sin(\alpha)

then, \theta=n\pi+(-1)^n\alpha (where n is an integer)

This can be rewritten in degrees as:

\theta=n(180^{\circ})+(-1)^n\alpha.............(Equation 1)

Now, in our case, \alpha=-230^{\circ}

Therefore, (Equation 1) can be written as:

\theta=n(180^{\circ})+(-1)^n(-230^{\circ})..........(Equation 2)

Now, to find the correct options all that we have to do is replace n by relevant integers and find the values of \theta that match.

For n=2, (Equation 2) gives us: \theta=2\times 180^{\circ}+(-1)^2(-230^{\circ})=360^{\circ}-230^{\circ}=130^{\circ}.

Thus, sin(230^{\circ})=sin(130^{\circ})

Now, we know that: -sin(-50^{\circ})=sin(50^{\circ})

Let n=-1, then:

\theta=(-1)\times 180^{\circ}+(-1)^{-1}(-230^{\circ})=-180^{\circ}+230^{\circ}=50^{\circ}

Thus, sin(-230^{\circ})=-sin(-50^{\circ})

Likewise, sin(-230^{\circ})=sin(50^{\circ})

Only the last option sin(-50^{\circ}) will never match sin(-230^{\circ}) because no integral value of n will ever give \theta=-50^{\circ}

Thus the last option is the correct option.

3 0
3 years ago
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ki77a [65]
The answer :9.1×10 ^3

3 0
3 years ago
In sunlight, a vertical yardstick casts a 1 ft shadow at the same time that a nearby tree casts a 15 ft shadow. How tall is the
kati45 [8]

Answer: A) 45 ft

Step-by-step

The yardstick is 3ft tall since 1 yard = 3ft. It is 3 times as tall as its shadow. The tree has a 15ft long shadow. The tree should also be 3 times as tall as its shadow. The tree is 15*3ft tall, so it is 45ft tall. I attached an image of the diagram I made.

4 0
3 years ago
A manager records the repair cost for 4 randomly selected TVs. A sample mean of $88.46 and standard deviation of $17.20 are subs
timurjin [86]

Answer:

NO WAY ITS INSANE

Step-by-step explanation:

5 0
3 years ago
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