What is the exact answer to 30,321 divided by 46?

Answers

Answer 1
Answer: The exact answer is 659.1521
Answer 2
Answer: 30,321÷46=659.152173913

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Based on a Comcast​ survey, there is a 0.8 probability that a randomly selected adult will watch​ prime-time TV​ live, instead of​ online, on​ DVR, etc. Assume that seven adults are randomly selected. Find the probability that fewer than three of the selected adults watch​ prime-time live.

Answers

Answer: Our required probability is 0.004672.

Step-by-step explanation:

Since we have given that

Number of adults = 7

Probability of getting adult will watch prime time TV live = 0.8

We need to find the probability that fewer than 3 of the selected adults watch prime time live.

We will use "Binomial Distribution":

here, n = 7

p = 0.8

So, P(X<3)=P(X=0)+P(X=1)+P(X=2)

So, it becomes,

P(X=0)=(1-0.8)^7=0.2^7=0.0000128

P(X=1)=^7C_1(0.8)(0.2)^6=0.0003584\n\nP(X=2)=^7C_2(0.8)^2(0.2)^5=0.0043

So, probability that fewer than 3 of the selected adult watch prime time live is given by

0.0000128+0.0003584+0.0043=0.004672

Hence, our required probability is 0.004672.

Final answer:

This problem relates to the binomial distribution and requires us to find the sum of binomial probabilities for 0, 1, and 2 successes (adults watching live TV) out of seven trials (the seven randomly selected adults).

Explanation:

This question is utilizing the concept of binomial distribution. The probability of a randomly selected adult watching prime-time TV live is 0.8. We want to find the probability that fewer than 3 out of 7 randomly selected adults watch prime-time live.

We find this by adding up the probabilities for 0, 1, and 2 adults watching live TV using the binomial distribution formula: P(X=k) = C(n, k) * (p^k) * ((1-p)^(n-k)), where C(n, k) denotes the number of combinations of n items taken k at a time, p is the probability of success, and n is the number of trials.

We get:

  • P(X=0) = C(7, 0) * (0.8^0) * ((1-0.8)^(7-0))
  • P(X=1) = C(7, 1) * (0.8^1) * ((1-0.8)^(7-1))
  • P(X=2) = C(7, 2) * (0.8^2) * ((1-0.8)^(7-2))

Adding these up will give the total probability that fewer than three adults out of seven watch prime-time live.

Learn more about Binomial Distribution here:

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Prove the trigonometric identity
(tan x + cot x)/(csc x * cos x) = sec^2 x​

Answers

Answer:

(\tan x + \cot x)/(\csc x \cos x)=\sec^2 x

\boxed{((\sin x)/(\cos x) + (\cos x)/(\sin x))/((1)/(\sin x) \cdot \cos x)}=\sec^2 x

\boxed{((\sin^2 x)/(\sin x\cos x) + (\cos^2 x)/(\sin x \cos x))/((\cos x)/(\sin x))}=\sec^2 x

\boxed{((\sin^2 x+\cos^2 x)/(\sin x\cos x))/((\cos x)/(\sin x))}=\sec^2 x

\boxed{((1)/(\sin x\cos x))/((\cos x)/(\sin x))}=\sec^2 x

\boxed{(1)/(\sin x\cos x) \cdot (\sin x)/(\cos x)}=\sec^2 x

(1)/(\cos^2x)=\sec^2x

\sec^2x=\sec^2x

Step-by-step explanation:

Given trigonometric identity:

(\tan x + \cot x)/(\csc x \cos x)=\sec^2 x

\textsf{Use the identities\;\;$\tan x = (\sin x)/(\cos x)$\;,\;$\cot x=(\cos x)/(\sin x)$\;\;and\;\;$\csc x=(1)/(\sin x)$}:

\boxed{((\sin x)/(\cos x) + (\cos x)/(\sin x))/((1)/(\sin x) \cdot \cos x)}=\sec^2 x

Simplify the denominator and make the fractions in the numerator like fractions:

\boxed{((\sin^2 x)/(\sin x\cos x) + (\cos^2 x)/(\sin x \cos x))/((\cos x)/(\sin x))}=\sec^2 x

\textsf{Apply\;the\;fraction\;rule\;\;$(a)/(b)+(c)/(b)=(a+c)/(b)$\;to\;the\;numerator}:

\boxed{((\sin^2 x+\cos^2 x)/(\sin x\cos x))/((\cos x)/(\sin x))}=\sec^2 x

\textsf{Use\;the\;identity\;\;$\sin^2x+\cos^2x=1$}:

\boxed{((1)/(\sin x\cos x))/((\cos x)/(\sin x))}=\sec^2 x

\textsf{Apply\;the\;fraction\;rule\;\;$(a)/((b)/(c))=a \cdot (c)/(b)$}:

\boxed{(1)/(\sin x\cos x) \cdot (\sin x)/(\cos x)}=\sec^2 x

Cancel the common factor sin x, and apply the exponent rule aa = a² to the denominator:

(1)/(\cos^2x)=\sec^2x

\textsf{Use the identity\;\;$(1)/(\cos x)=\sec x$}:

\sec^2x=\sec^2x

Answer:

The proof of the trigonometric identity:

We can start by expanding the numerator and denominator. In the numerator, we can use the trigonometric identities tan x = sin x / cos x and cot x = cos x / sin x.

In the denominator, we can use the trigonometric identity csc x = 1 / sin x. This gives us:

((tan x + cot x))/((csc x * cos x) ) = (((sin x )/( cos x)) + ((cos x )/(sin x)))/(((1)/( sin x)) * cos x)

`We can then cancel the sin x terms in the numerator and denominator. This gives us:

((tan x + cot x))/((csc x * cos x) ) = (1 + 1)/(((1 )/(sin x)) * cos x)

We can then multiply the numerator and denominator by sin x. This gives us:

((tan x + cot x))/((csc x * cos x) ) = (sin x + sin x)/((1 )/(cos x))

We can then simplify the expression. This gives us:

((tan x + cot x))/((csc x * cos x) ) = (2sin x)/((1 )/(cos x)) = (2sin x)/(cos x) = 2tan x

Finally, we can use the trigonometric identity tan^2 x = sec^2 x - 1 to get:

2tan x =( 2tan^2 x )/( (sec^2 x - 1))

This gives us the following identity:

((tan x + cot x))/((csc x * cos x) ) = sec^2 x

This completes the proof of the trigonometric identity.

How many ways are there to add four positive odd numbers to get a sum of 22?

Answers

there are 18 ways to add four positive numbers to get 22

Which of the following correctly displays 1/2 r - t

Answers

I dont have an answer but these are the choices for this question

Answer:

Where is the following for the answers

9. Standardized Test Practice Vanessa needs of a lengthof board to build a birdhouse. If she has 6 boards, how many
birdhouses can she make?
B 6
A 33
C 10
D 18

Answers

the answe is D... if it’s not i’m really sorry

The volume of a rectangular prism is 50 5/8 cubic inches.The dimensions are given below.

What is the missing value in the table?

--------------------------------------------------------------

Length Width Height

5 in. 214 in.

--------------------------------------------------------------

A) 79in.

B) 412in.

C) 134in.

D) 1018in.

Answers

mcyt mcyt mcyt mcyt mcyt

Final answer:

The missing value in the dimensions of a rectangular prism having a volume of 50 5/8 cubic inches, length 5 inches, and width 214 inches, is found by dividing the volume by the product of length and width. On calculating, it is found to be approximately 1/7 inches.

Explanation:

The volume of a rectangular prism is found by multiplying the length, width, and height together. Here, you are given the total volume (50 5/8 cubic inches) and two of the dimensions (length is 5 inches and width is 214 inches). Therefore, the missing value is the height. To find this, you should divide the total volume by the length and the width.

So, Height = Volume / (Length x Width) = (50 5/8) / (5 x 214) = 81/ 14, which gives approximately 1/7 inches. Hence, none of the options (A, B, C, D) is correct.

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