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astra-53 [7]
3 years ago
13

What is the value of the expression 10 + (6÷3)

Mathematics
2 answers:
Len [333]3 years ago
7 0

Answer:12

Step-by-step explanation: D o the prentices 6 divided by 3 u get 2 10 + 2 =12 and that is you answer

pychu [463]3 years ago
3 0

Answer:

The Exact Value of the expression 10 + (6÷3) is 12

Step-by-step explanation:

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The general form of an parabola is 4y2+40y+3x+103=0. What is the standard form of the parabola?
Troyanec [42]

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Answer:

  x = -4/3y² -40/3y -103/3

  x = -4/3(y +5)² -1

Step-by-step explanation:

Solve for x.

  x = (4y² +40y +103)/(-3)

  x = -4/3y² -40/3y -103/3 . . . . 'standard form' in the US

__

Taking our clues from the graph*, we can write the vertex form equation as ...

  x = -4/3(y +5)² -1 . . . . . . 'standard form' in other places

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* The vertex is (-1, -5), so for some leading coefficient, the equation will be ...

  x = a(y -(-5))² +(-1) = a(y +5)² -1

The value of 'a' is the scale factor. Here, that is the difference between the parabola value (x = -2 1/3) and the vertex value (x = -1) one unit away from the vertex.

6 0
3 years ago
General Hospital has noted that they admit an average of 9 patients per hour.
serious [3.7K]

Answer:

(a) The probability that during the next hour less than 3 patients will be admitted is 0.00623.

(b) The probability that during the next two hours exactly 8 patients will be admitted is 0.00416.

Step-by-step explanation:

<u>The complete question is:</u> General Hospital has noted that they admit an average of 8 patients per hour.

(a) What is the probability that during the next hour less than 3 patients will be admitted?

(b) What is the probability that during the next two hours exactly 8 patients will be admitted?

The above situation can be represented through Poisson distribution as it includes the arrival rate of the pattern. So, the probability distribution of the Poisson distribution is given by;

P(X = x) = \frac{e^{-\lambda} \times \lambda^{x} }{x!} ; x = 0,1,2,......

Here X = Number of patients admitted in the hospital

         \lambda = arrival rate of patients per hour = 9 patients

So, X ~ Poisson(\lambda = 9)

(a) The probability that during the next hour less than 3 patients will be admitted is given by = P(X < 3)

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

                  = \frac{e^{-9} \times 9^{0} }{0!} + \frac{e^{-9} \times 9^{1} }{1!} + \frac{e^{-9} \times 9^{2} }{2!}

                  = e^{-9}  +(e^{-9} \times 9)+ \frac{e^{-9} \times 81}{2}

                  = <u>0.00623</u>

(b) Here, \lambda = 9 \times 2 = 18 because we have to find the probability for the next two hours and we are given in the question of per hour.

So, X ~ Poisson(\lambda = 18)

Now, the probability that during the next two hours exactly 8 patients will be admitted is given by = P(X = 8)

    P(X = 8) =  \frac{e^{-18} \times 18^{8} }{8!}

                  = <u>0.00416</u>

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Which of the following is a solution of 4x2 = − 9x − 4?
Arte-miy333 [17]

Step-by-step explanation:

4x2=−9x−4

Step 1: Subtract -9x-4 from both sides.

4x2−(−9x−4)=−9x−4−(−9x−4)

4x2+9x+4=0

For this equation: a=4, b=9, c=4

4x2+9x+4=0

Step 2: Use quadratic formula with a=4, b=9, c=4.

x=

−b±√b2−4ac

2a

x=

−(9)±√(9)2−4(4)(4)

2(4)

x=

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x=

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1

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√17 or x=

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