X = ?? <br> a) 1<br> b) 3<br> c) 7

Find the reciprocal of 19/13

mariarad [96]

Answer:

13/19

Step-by-step explanation:

To find the reciprocal, flip the number.

The reciprocal of 19/13 is 13/19

~

7 0

2 years ago

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The nature center has a fish tank

ANEK [815]

Answer:

288 small fish.

Step-by-step explanation:

The first thing is to calculate the volume of the prism, which would be the area of the base (length by width) and that by the height, that is:

a = l * w * h

l = 6

w = 4

h = 4

Replacing

a = 6 * 4 * 4

a = 96 cubic feet

they tell us that per cubic foot there is room for 3 small fish, therefore:

96 * 3 = 288

Which means that there are 288 small fish.

4 0

2 years ago

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Which choice is equivalent to the product below for acceptable values of x

victus00 [196]

the answer would be A.

7x × X gives you 7x^2

7x × 2 gives you 14 X

so the answer is the square root of 7x^2 + 14 X

5 0

2 years ago

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Find FG<br> FGH= 49<br> GH=31

Luba_88 [7]

Answer:

Step-by-step explanation:

From the given diagram;

FGH = 49

GH = 31

Using the expression to get FG;

FG + GH = FGH

FG + 31 = 49

FG = 49-31

FG = 18

Hence the measure of FG is 18

4 0

2 years ago

In a binomial distribution, n = 8 and π=0.36. Find the probabilities of the following events. (Round your answers to 4 decimal p

skelet666 [1.2K]

Answer:

$\mathbf{P(X=5) =0.0888}$

P(x ≤ 5 ) = 0.9707

P ( x ≥ 6) = 0.0293

Step-by-step explanation:

The probability of a binomial mass distribution can be expressed with the formula:

$\mathtt{P(X=x) =(^{n}_{x} ) \ \pi^x \ (1-\pi)^{n-x}}$

$\mathtt{P(X=x) =(\dfrac{n!}{x!(n-x)!} ) \ \pi^x \ (1-\pi)^{n-x}}$

where;

n = 8 and π = 0.36

For x = 5

The probability $\mathtt{P(X=5) =(\dfrac{8!}{5!(8-5)!} ) \ 0.36^5 \ (1-0.36)^{8-5}}$

$\mathtt{P(X=5) =(\dfrac{8!}{5!(3)!} ) \ 0.36^5 \ (0.64)^{3}}$

$\mathtt{P(X=5) =(\dfrac{8 \times 7 \times 6 \times 5!}{5!(3)!} ) \times \ 0.0060466 \ \times 0.262144}$

$\mathtt{P(X=5) =(\dfrac{8 \times 7 \times 6 }{3 \times 2 \times 1} ) \times \ 0.0060466 \ \times 0.262144}$

$\mathtt{P(X=5) =({8 \times 7 } ) \times \ 0.0060466 \ \times 0.262144}$

$\mathtt{P(X=5) =0.0887645}$

$\mathbf{P(X=5) =0.0888}$ to 4 decimal places

b. x ≤ 5

The probability of P ( x ≤ 5) $\mathtt{P(x \leq 5) = P(x = 0)+ P(x = 1)+ P(x = 2)+ P(x = 3)+ P(x = 4)+ P(x = 5})$

${P(x \leq 5) = ( \dfrac{8!}{0!(8!)} \times (0.36)^0 \times (1-0.36)^8 \ ) + \dfrac{8!}{1!(7!)} \times (0.36)^1 \times (1-0.36)^7 \ +$ $\dfrac{8!}{2!(6!)} \times (0.36)^2 \times (1-0.36)^6 \ + \dfrac{8!}{3!(5!)} \times (0.36)^3 \times (1-0.36)^5 + \dfrac{8!}{4!(4!)} \times (0.36)^4 \times (1-0.36)^4 \ + \dfrac{8!}{5!(3!)} \times (0.36)^5 \times (1-0.36)^3 \ )$

P(x ≤ 5 ) = 0.0281+0.1267+0.2494+0.2805+0.1972+0.0888

P(x ≤ 5 ) = 0.9707

c. x ≥ 6

The probability of P ( x ≥ 6) = 1 - P( x ≤ 5 )

P ( x ≥ 6) = 1 - 0.9707

P ( x ≥ 6) = 0.0293

4 0

2 years ago

X = ?? a) 1 b) 3 c) 7