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Maurinko [17]
3 years ago
11

Py+qy=−4y+8 solve for y

Mathematics
2 answers:
Ivenika [448]3 years ago
4 0
I'm not sure if this is right
py+qy=-4+8
y(p+q)=-4y+8
5y(p+q)=8
5y=8/p+q
photoshop1234 [79]3 years ago
3 0

Answer:

The value of the equation y is y=\frac{8}{(p+q+4)}.

Step-by-step explanation:

Consider the provided equation.

py+qy=-4y+8

We need to solve the equation for y.

Add 4y both the sides of the above equation.

py+qy+4y=-4y+4y+8

py+qy+4y=8

Take y common as shown.

y(p+q+4)=8

Now, divide the both the sides by p+q+4.

\frac{y(p+q+4)}{(p+q+4)}=\frac{8}{(p+q+4)}

y=\frac{8}{(p+q+4)}

Hence, the value of the equation y is y=\frac{8}{(p+q+4)}.

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Let the random variable X be equally likely to assume any of the values 1/14, 1/7, or 3/14. Determine the mean and variance of X
Dimas [21]

Answer:

1/7 ;

0.0034

Step-by-step explanation:

Given that:

X = 1/14, 1/7, 3/14

n = number of observations = 3

Since, probability of X is equally likely ;

P(X) = Σp(x) = 1 ; p(x) = 1/n = 1/3

The mean, m ;

Σx*p(x) = (1/3 * 1/14) + (1/3 * 1/7) + (1/3 * 3/14)

= 1/42 + 1/21 + 3/42

= (1 + 2 + 3) / 42

= 6 / 42

= 1/7

The variance :

Σx²*p(x) - m²

((1/3) * (1/14)^2) + ((1/3) * (1/7)^2) + ((1/3) * (3/14)^2) - (1/7)^2

= 0.0238095 - 0.0204081

= 0.0034014

= 0.0034

6 0
3 years ago
A patient is ordered 60 mg/kg/day of an antibiotic to be divided in 3 doses per day. The patient weighs 60 kg. How many mg of dr
Fudgin [204]

Answer:

3600 mg of drug per day.

\text{The amount of drug per dosage}=\text{1200 mg}

Step-by-step explanation:

We have been given that a patient is ordered 60 mg/kg/day of an antibiotic.

Since the weight of the patient is 60 kg, so the dosage of drug per day would be 60 mg times 60.

\text{The dosage of drug per day}=\frac{\text{60 mg}}{\text{ kg}}\times 60\text{ kg}

\text{The dosage of drug per day}=\text{60 mg}\times 60

\text{The dosage of drug per day}=\text{3600 mg}

Therefore, the patient should receive 3600 mg of drug per day.

Since the patient gets 3 doses per day, so dosage of drug per dosage would be amount of drug per day divided by 3.

\text{The amount of drug per dosage}=\frac{\text{3600 mg}}{3}

\text{The amount of drug per dosage}=\text{1200 mg}

Therefore, the amount of drug per dosage would be 1200 mg.

3 0
4 years ago
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REY [17]

Answer:

True

Step-by-step explanation:

Pretend you are playing a marble game. All the marbles are in a bowl. You notice there are more green than red and blue marbles so you will be most likely to get the green marble.

6 0
3 years ago
Simplify the expression below. -15r + 3(2s - 4r)
Sergio039 [100]
<span>-15r + 3(2s - 4r)
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5 0
3 years ago
The perimeter of a rectangular parking lot is 320 m.
Nezavi [6.7K]

Answer:

63 metres

Step-by-step explanation:

A rectangle has 4 sides

2 of these sides are the lengths

The other 2 sides are the width

If the length of one side is 97 metres, the other side length must also be 97 metres

The two lengths then add together (97 + 97) to become 194 metres

Now we can use this information to calculate the width

320 (the total perimeter) subtract 194 (The total length) = 126 metres

This means that 126 metres is the total width

Because there are two sides which add up to the total width we divide 126 by 2

This allows us to get the measurement of the width

126 divided by 2 = 63 metres

6 0
3 years ago
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