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xeze [42]
3 years ago
10

Write an algebraic expression that models the situation.

Mathematics
2 answers:
juin [17]3 years ago
4 0

Answer:

y= 126 - 11w

Step-by-step explanation:

NISA [10]3 years ago
3 0

Your answer is y= 126 - 11w

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29

Step-by-step explanation:

Use definition of conditional probability:

P(A|B)=\dfrac{P(A\cap B)}{P(B)},

where

A = the student is a freshman,

B = the student is a male

From the table,

P(B)=\dfrac{4+6+2+2}{4+6+2+2+3+4+6+3}=\dfrac{14}{30}=\dfrac{7}{15}\\ \\P(A\cap B)=\dfrac{4}{4+6+2+2+3+4+6+3}=\dfrac{4}{30}=\dfrac{2}{15}

So,

P(A|B)=\dfrac{\frac{2}{15}}{\frac{7}{15}}=\dfrac{2}{7}\approx 0.29=29\%

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3 years ago
What is the solution of 5y + 1=31
gayaneshka [121]

Answer:

y=6

Step-by-step explanation:

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4 0
2 years ago
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I SHALL REWARD THEE WITH BRAINLIEST Change -2Y - 2X = -6 to the slope intercept form of the equation of a line (I NEED EXPLANATI
DaniilM [7]

Answer:

y = -x + 3    

Step-by-step explanation:

First of all, you need to memorize several forms of the equation of a straight line.  Here you have -2y - 2x = -6 in "standard form" and want the equivalent equation in "slope intercept form," y = mx + b.

To get this, solve the first equation for y by dividing all three terms by -2:

y + x = 3.

Then solve this result for y:

y = -x + 3    

This is the desired equation in slope-intercept form.

8 0
2 years ago
The riding stables just received an unexpected rush of registrations for the next horse show, and quickly needs to create some a
liraira [26]

Answer:

Maximum added area will be 60,000 ft²

Each paddock measure 200 ft by 150 ft, and the paddocks share a 200-ft long side.

Step-by-step explanation:

Consider the provided information.

There is sufficient funding to rent 1200 feet of temporary chain-link fencing.

The plan is to form two paddocks with one shared fence running down the middle.

The total length of fencing is 1200 feet that is same as the total perimeter including that shared line down the middle.

Therefore, the perimeter is

P = 1200 = 2L + 3w

Solve for L

1200-3w = 2L

L=600-\frac{3w}{2}

As we know the area of rectangle is A=L×W

Substitute the value of L in above formula.

A=(600-\frac{3w}{2})\times w\\A=600w-\frac{3w^2}{2}

A=-\frac{3w^2}{2}+600w

The above equation makes a downward parabola.

In order to find the maximum, find the vertex of parabola as shown:

W=\frac{-b}{2a}=\frac{600}{2\times\frac{3}{2}}=200

Hence, the width should be 200 ft in order to get maximum area,

Therefore, the length will be:

1200 = 2L + 3(200)

L=300

Now substitute the value of L and W in area formula.

A=300×200=60,000

Hence, maximum added area will be 60,000 ft²

Hence, the length should be 300 ft, and each paddock should then be 150 feet long.

Each paddock measure 200 ft by 150 ft, and the paddocks share a 200-ft long side.

5 0
3 years ago
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