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1 answer:

5 0

Let sin⁻¹( $\frac{ \sqrt{3} }{2}$ ) = x
Therefore, sin(x) = $\frac{ \sqrt{3} }{2}$
x should lie in first quadrant because √3 and 2 both are positive.

Therefore, sin(x) = 60° = π/3

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Suppose that in a large metropolitan area, 84% of all households have cable tv. Suppose you are interested in selecting a group

Firdavs [7]

Answer:

0.05606

Step-by-step explanation:

This is a binomial probability distribution problem.

84% of all households have cable TV, thus;

p = 0.84

There are six households from this area, thus; n = 6

Formula for this binomial distribution is;

P(X) = C(n, x) × p^(x) × (1 - p)^(n - x)

We want to find the proportion of groups where at most three of the households have cable TV.

Thus, it's is;

P(X ≤ 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)

P(X = 0) = C(6, 0) × 0.84^(0) × (1 - 0.84)^(6 - 0) = 0.00001678

P(X = 1) = C(6, 1) × 0.84^(1) × (1 - 0.84)^(6 - 1) = 0.000528

P(X = 2) = C(6, 2) × 0.84^(2) × (1 - 0.84)^(6 - 2) = 0.006963

P(X = 3) = C(6, 3) × 0.84^(3) × (1 - 0.84)^(6 - 3) = 0.04855

Thus;

P(X ≤ 3) = 0.00001678 + 0.000528 + 0.006963 + 0.04855 = 0.05606

5 0

3 years ago

Solve.

baherus [9]

The correct answer is: [C]: " 5 " .
__________________________________________________________
→ " a = 5 " .
__________________________________________________________
Explanation:
__________________________________________________________

Given: " a + 1 − 2 = 4 " ; Solve for "a" ;

4 + 2 = 6 ;

6 − 1 = 5 ; → a = 5 ;

To check our work:

5 + 1 − 2 = ? 4 ?? ;

5 + 1 = 6 ;

6 − 2 = 4. Yes!

So the answer is: [C]: " 5 ".
_________________________________________________________
→ " a = 5 " .
_________________________________________________________

4 0

3 years ago

What is the value of w? A.) 7 B.) 3.5 C.) 7 square root of 3 D.) 14

sammy [17]

D. 14

LL = 1/2 * Hsqrt3
7sqrt3 = 1/2 * ysqrt3
24.25 = ysqrt3
24.25/sqrt3 = y
y = 14

4 0

3 years ago

Read 2 more answers

The dot plot shows the number of magazines sold determine the median of the date set

marta [7]

To find median you set up the number least to greasiest and then cross each one out one side at a time until you get to the middle

8 0