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Zielflug [23.3K]
3 years ago
12

In the year 2000 the number of hazardous waste sites in state x was 8 less than twice the number of hazardous waste sites in sta

te Y. Suppose there were 34 such sites in state x. Write and solve an equation to find the number of hazardous waste sites in state y, n, in the year 2000
Mathematics
1 answer:
kozerog [31]3 years ago
7 0

Answer:

In the year 2000 the number of hazardous waste sites in state y was 21

Step-by-step explanation:

Let

x ----> the number of hazardous waste sites in state x in the year 2000

y ----> the number of hazardous waste sites in state y in the year 2000

we know that

x=2y-8 ----> equation A

x=34 ----> equation B

Solve the system of equations by substitution

Substitute equation B in equation A

34=2y-8

Solve for y

Adds 8 both sides

34+8=2y

42=2y

Divide by 2 both sides

y=21

therefore

In the year 2000 the number of hazardous waste sites in state y was 21

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A card is picked from a standard deck of 52 cards. Determine the odds against and the odds in favor of selecting a red face card
timama [110]
<h3>The probability of picking a red face card from the deck  is (\frac{3}{26} )</h3><h3>The probability of NOT picking a red face card from the deck  is (\frac{23}{26} )</h3>

Step-by-step explanation:

The total number of cards in the deck  = 52

The total number of red( Diamond + Hearts)  face cards in the given deck

= 2 Red Queens +  2 Red jacks + 2 Red kings  = 6 cards

Let E : Event of picking a red face card from the deck

Now , P( any event)  = \frac{\textrm{The number of favorable observations}}{\textrm{Total number of observations}}

So, here P(Picking a red face card)  = \frac{\textrm{The number of red face cards}}{\textrm{Total number of cards}} =  (\frac{6}{52} ) = (\frac{3}{26})

Hence, the probability of picking a red face card from the deck  is (\frac{3}{26} )

Now, as we know P (any event NOT A)  = 1 - P(any event A)

So, P(NOT Picking a red face card) = 1 - P(Picking a red face card)

= 1 - (\frac{3}{26} ) = \frac{26-3}{26}  = (\frac{23}{26})

Hence,  the probability of NOT picking a red face card from the deck  is (\frac{23}{26} )

8 0
3 years ago
Determine the median of the data. 2, 3, 3, 4, 5, 7, 9
satela [25.4K]
The median is 4 because 2 x’s out 9, 3 x’s out 7, 3 x’s out 5, and 4 is the only remaining number.
3 0
3 years ago
Read 2 more answers
Solve the sum of two numbers is 23. one number is one less than twice the other. find the two numbers
morpeh [17]
Let the two numbers be x and y.

Given,

x + y = 23

x = 23 - y

Also given,

y = 2x - 1

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Hence, the two numbers are 15 and 8.
3 0
3 years ago
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What are the zeros of the function below? F(x)= (x-1)(x+1)/6(x-4)(x+7)
Lisa [10]

Answer:

+1 and -1

Step-by-step explanation:

The function in this problem is:

f(x)=\frac{(x-1)(x+1)}{6(x-4)(x+7)}

First of all, we have to define the domain of the function, which is the set of values of x for which the function is defined.

In order to find the domain, we have to require that the denominator is different from zero, so

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Now we can solve the problem and find the zeros of the function. The zeros can be found by requiring that the numerator is equal to zero, so:

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This is verified if either one of the two factors is equal to zero, therefore:

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and

x+1 = 0\\\rightarrow x=-1

We see that both values are part of the domain, so they are acceptable values: so the zeros of the function are +1 and -1.

7 0
3 years ago
Pastor Jeffers has a box of 600 gospel tracts. The youth group plans to canvass the neighborhood around the church. The High sch
krok68 [10]

Answer:

youth grounp handed out 486 and high school handed out 121.5 or 122

Step-by-step explanation:

Subtract 114 from 600 to get 486. Then divide the 486 by 4 to get 121.5.

4 0
3 years ago
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