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matrenka [14]
3 years ago
10

A sample size of 500 is sufficiently large enough to conclude that the sampling distribution of the sample proportions is a norm

al distribution, when the estimate of the population proportion is .995.
Mathematics
1 answer:
Paha777 [63]3 years ago
7 0

In a statistical test, the null hypothesis to be made is that the sample proportions do not have any significant differences, which means an equal distribution. This is only rejected when the estimate is equal or less than 0.95. But since in this case it is >0.95, so therefore the null hypothesis is not rejected. Therefore:

<span>False</span>

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The gravitational force exerted by the planet Earth on a unit mass at a distance r from the center of the planet is:
jolli1 [7]

Answer:

Yes, F is a continuous function of r

Step-by-step explanation:

We are given that

When r<R

F(r)=\frac{GMr}{R^3}

r\geq R

F(r)=\frac{GM}{r^2}

Where M=Mass of the earth

R=Radius of earth

G=Gravitational constant

We have to find the function is continuous of r or not.

LHL

\lim_{r\rightarrow R-}\frac{GMr}{R^3}=\frac{GMR}{R^3}=\frac{GM}{R^2}

RHL

\lim_{r\rightarrow R+}\frac{GM}{R^2}=\frac{GM}{R^2}

F(R)=\frac{GM}{R^2}

When a function is continuous at x=a

Then, LHL=RHL=f(a)

RHL==LHL=F(R)

Hence, the function is continuous of r.

8 0
3 years ago
Which of the following is true given that -4 &gt; -9?
xxMikexx [17]

Answer:

A. -4 is to the right of -9 on a horizontal number line.

Step-by-step explanation:

The order in a number line is:

-9 , -8 , -7 , -6 , -5 , -4 , -3 , -2 , -1 , 0 , 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9

As shown above, -4 is to the right of -9 on the horizontal number line.

4 0
3 years ago
A pill contains 1,257 mg of an active ingredient. How many grams is that?
zhannawk [14.2K]

1.257 gram

Hope thus helped!

3 0
3 years ago
Tyrone has 16 model airplanes on his shelf. He has 4 times as many model airplanes as model trains. How many model trains does T
dexar [7]

Step-by-step explanation:

4m =16

divide both sides by 4

m = 4

he has 4 model trains

7 0
3 years ago
If f(1) = 2 – 2 anid 9(37)<br> and g(x) = x2 – 9, what is the domain of g(x) = f(x)?
lana66690 [7]

Answer:

B

Step-by-step explanation:

Let divide g(x) by f(x)

\frac{ {x}^{2} - 9 }{2 - x {}^{ \frac{1}{2} } }

The domain of a rational function cannot equal zero so let set the bottom function to zero.

2 - x {}^{ \frac{1}{2} }  = 0

x  {}^{ \frac{1}{2} }  = 2

Square both sides

x = 4

Also we can simplify the bottom denomiator into a square root function

2 -  \sqrt{x}

The domain of a square root function is all real number greater than or equal to zero because a square root of a negative number isn't graphable.

So we must find a answer that

  • Disincludes 4 from the interval
  • Doesnt range in the negative number or infinity)
  • Range out in positve infinity
  • The answer to that is B

8 0
3 years ago
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