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Strike441 [17]
3 years ago
13

If p is inversely proportional to the square of q, and pis 24 when q is 11,

Mathematics
2 answers:
jonny [76]3 years ago
5 0

Answer:

p = 12 × 11²

Step-by-step explanation:

By question,

=> p ∝ 1/q²

=> p = k/q²

  • When p is 24 and q is 11

=> 24 = k/11²

=> k = 24 * 11²

  • When q is 2 ,

=> p = k/q²

=> p = 24*11²/2

=> p = 12 × 11²

alexandr402 [8]3 years ago
4 0

Answer:

726

Step-by-step explanation:

Here p = k / q², and 24 = k / 121, or k = 2904

Then p = 2904 / q²

If q = 2, p = 2904 /4 = 726

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According to a study conducted by an​ organization, the proportion of Americans who were afraid to fly in 2006 was 0.10. A rando
jeyben [28]

Answer:

Event is not unusual(p>0.05).

Step-by-step explanation:

Given that :

p=0.10\\\\n=1100\\\\x=121

#The sample proportion is calculated as:

\hat p=\frac{x}{n}\\\\=\frac{121}{1100}\\\\=0.1100

#Mathematically, the z-value is the value decreased by the mean then divided  the standard deviation :

z=\frac{\hat p- p}{\sqrt{\frac{p(1-p)}{n}}}\\\\\\\\=\frac{0.11-0.10}{\sqrt{\frac{0.10(1-0.10)}{1100}}}\\\\\\=1.1055

#We use the normal probability table to determine the corresponding probability;

P(X\geq 121)=P(Z>1.1055)\\\\=0.1314

Hence, the probaility is more than 0.05, thus the event not unusual  and thus  this is not necessarily evidence that the proportion of Americans who are afraid to fly has increased.

8 0
3 years ago
. A(0,8), B(6,5), C(-3,2)
Keith_Richards [23]

Answer:

a

Step-by-step explanation:

4 0
3 years ago
What is the sum of 10/12and 11/12? Make sure to show all work to receive full credit!
sergiy2304 [10]

Answer:

1\frac{3}{4}

Step-by-step explanation:

\frac{10}{12} +\frac{11}{12} \\\\\frac{21}{12} \\\\1\frac{9}{12} \\\\1\frac{3}{4}

7 0
3 years ago
What is the quotient?
Zepler [3.9K]

Answer:

= \dfrac{1}{5^{9}}

Step-by-step explanation:

When dividing values with exponents, we simply need to subtract the numerators exponent to the denominators exponent.

So we have:

\dfrac{5^{-6}}{5^{3} }

= 5^{-6 - 3}

= 5^{-9}

Now since we have a negative exponent, we can get the reciprocal of the value to make it positive.

= \dfrac{1}{5^{9}}

7 0
3 years ago
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zimovet [89]
That’s a good question. But I don’t know the answer
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