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ddd [48]
4 years ago
11

Choose the ratio below that is equivalent to 3:5A. 5:3B. 9:15C. 9:5D. 8:4

Mathematics
1 answer:
n200080 [17]4 years ago
4 0
Hi there! Just by looking at the choices, we can eliminate C and D, because those answers don’t make sense and they don’t flow together. 3:5 is equivalent to those like 6:10, 9:15, 12:20, and so on. You can basically add 3 and 5 in order to get the next ratios. The only ratio that works in this problem is B. The answer is B: 9:15.
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Answer:

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Step-by-step explanation:

Given that :

Sample size (n) = 20

p = 0.6

q = 1 - p = 1 - 0.6 = 0.4

.using normal approximation :

Mean = np

Mean (m) = 20 * 0.6 = 12

Standard deviation (s) = √npq

s = √(20 * 0.6 * 0.4) = 2.1908902

Probability of 10 or more lines in use :

p(x ≥ 10)

Applying for correction:

p(x ≥ 10 - 0.5) = p(x ≥ 9.5)

Using the z formula :

Z = (x - m) / s

Z = (9.5 - 12) / 2.1908902

Z = - 1.141

p(Z > - 1.141) = 0.87307 (Z probability calculator)

p(Z > - 1.141) = 0.873

Using the binomial distribution :

P(x = x) = nCx * p^x * (1 - p)^(n-x)

p(x ≥ 10) = p(x = 10) + p(x = 11) +.... + p(x = 20)

Using calculator :

p(x ≥ 10) = 0.87247

= 0.873

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3 years ago
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Step-by-step explanation:

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7 0
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Answer:

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7 0
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Temka [501]

Answer:

cos(-\theta) = -0.73

Step-by-step explanation:

It is given that:

sin(\theta -\dfrac{\pi}{2}) = 0.73

<u>Formula to be used:</u>

1.\ sin(-x) = -sinx\\2.\ sin(\dfrac{\pi}{2}-x) = cosx\\3.\ cos(-x) = cosx

Using Formula (1) written above:

\Rightarrow sin (\theta - \dfrac{\pi}{2})=sin(-(\dfrac{\pi}{2}-\theta ))\\\Rightarrow -sin(\dfrac{\pi}{2}-\theta)

Now, using Formula (2) written above:

\Rightarrow -sin(\dfrac{\pi}{2}-\theta) = -cos \theta

So, we can say that:

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We have to find the value of cos(-\theta).

Using Formula (3) written above:

cos(-\theta) = cos\theta

So, ultimately we need to find the value of cos\theta

Using equation (1):

-cos\theta = 0.73\\\Rightarrow cos\theta = -0.73

So, the answer is cos(-\theta) = -0.73.

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3 years ago
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