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Aleks [24]
3 years ago
8

The length of a rectangle is 1 less than twice the width.

Mathematics
2 answers:
vladimir1956 [14]3 years ago
7 0

w-width\\2w-1-length\\w(2w-1)=2w^2-w-the\ area\\28\ ft^2-the\ area\\\\\text{The equation:}\\\\2w^2-w=28\qquad\text{subtract 28 from both sides}\\\\2w^2-w-28=0\\\\2w^2-8w+7w-28=0\\\\2w(w-4)+7(w-4)=0\\\\(w-4)(2w+7)=0\iff w-4=0\ \vee\ 2w+7=0\\\\w-4=0\qquad\text{add 4 to both sides}\\\boxed{w=4}\\\\2w+7=0\qquad\text{subtract 7 from both sides}\\2w=-7\qquad\text{divide both sides by 2}\\w=-3.5

Alex73 [517]3 years ago
3 0

Answer:

equation = 2w^2- w- 28 =0

length =7

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Jane is playing a game in which he spins a spinner with 6 equal-sized slices numbered 1 through 6. The spinner stops on a number
sleet_krkn [62]

Answer:

The expected value of playing the game is $0.75.

Step-by-step explanation:

The expected value of a random variable is the weighted average of the random variable.

The formula to compute the expected value of a random variable <em>X</em> is:

E(X)=\sum x\cdot P(X=x)

The random variable <em>X</em> in this case can be defined as the amount won in playing the game.

The probability distribution of <em>X</em> is as follows:

Number on spinner:   1           2           3          4           5              6

Amount earned (<em>X</em>):   $1        $4         $7        $10     -$8.75     -$8.75

Probability:                 1/6       1/6         1/6        1/6         1/6           1/6

Compute the expected value of <em>X</em> as follows:

E(X)=\sum x\cdot P(X=x)

         =(1\times \frac{1}{6})+(4\times \frac{1}{6})+(7\times \frac{1}{6})+(10\times \frac{1}{6})+(-8.75\times \frac{1}{6})+(-8.75\times \frac{1}{6})

         =\frac{1}{6}+\frac{4}{6}+\frac{7}{6}+\frac{10}{6}-\frac{8.75}{6}-\frac{8.75}{6}

         =\frac{1+4+7+10-8.75-8.75}{6}

         =0.75

Thus, the expected value of playing the game is $0.75.

5 0
3 years ago
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madreJ [45]
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3 years ago
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4 0
3 years ago
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krek1111 [17]

Answer:

No

Step-by-step explanation:

As the hypotenuse is not equal to base and perpendicular.

7 0
3 years ago
How many ounces are in 2 1/2 pounds .( 16 ounces =1 pound )
blsea [12.9K]
<span>How many ounces are in 2 1/2 pounds .( 16 ounces =1 pound )

Convert 2 1/2 to improper fraction 

1 = 2/2

2 1/2 = 5/2

Next, multiply 16 with 5/2

16 x 5 = 80

Divide 80 with 2

80/2 = 40

40 oz is your answer


hope this helps</span>
6 0
3 years ago
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