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kkurt [141]
3 years ago
13

Here is a list of numbers.

Mathematics
1 answer:
frutty [35]3 years ago
7 0

Answer:

(a): -21 and 12.

(b): -45 and -16

(c): 3.

Step-by-step explanation:

(a): -21 + 12 = -9.

(b): -45 - -16 = 29.

(c): -45 + -21 + -16 + 12 + 33 + 40 = 3.

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Awarding road contracts. A state Department of Transportation (DOT) recently claimed that each of five bidders received equal co
Sveta_85 [38]

Answer:

a) Hence, the probability of this event occurring if, in fact, the DOT's claim is true

= 3/10 = 0.3

Step-by-step explanation:

a) The concept applied here is combinatorics ; nCr = n!/(n - r)!r!

we are told that out of 5bidders, Three of the bidders were large construction conglomerates

and two were small specialty contractors.

selecting two recipients with tree of the bidders were large construction conglomerates 3C2

= 3!/(3-2)!2!

= 3

Similarly, selecting the two small casualty contractor from the total of 5bidders = 5C2

= 5!/(5-2)!2!

= 10

Hence, the probability of this event occurring if, in fact, the DOT's claim is true

= 3/10 = 0.3

b) if DOTs claim is not true ( probability of failure) = 1 - 0.3

= 0.7 , this value implies that the probability 0.3 is largely compatible and a compliment of the 0.7 and as such it is consistent with the DOTs claim that the selection was random.

7 0
3 years ago
A girl makes 12 foul shots for every 8 that she misses.How many shots did she make if she shot 125 foul shots
schepotkina [342]

\frac{12}{20}  =  \frac{x}{125}  \\ 20x = 1500 \\  \\ x = 75
6 0
4 years ago
Read 2 more answers
Find the slope of the line through the given pair of points.<br> (0,16), (11,6)
Lelechka [254]

Answer:

m = -\frac{10}{11}

5 0
3 years ago
Read 2 more answers
Help me with this question plz?
wel
Volume of cylinder = πr²h = π x 4² x 6 = 96π

volume of cone = 1/3πR²H = 1/3π x 8² x 12 = 256π

You can see that volume of cone is more than twice of volume of cylinder. So she is not correct
8 0
4 years ago
Which expressions are equivalent to 6 (–x) 2x (–7) 2x? Check all that apply. X x 6 – 7 x 2x 2 x 3 – x 2x – 4 2x x – 1 x 1.
qaws [65]

Equivalent expression is the expression which is equal to the original equation but the way of representation is different. The equivalent expression of the given expression are,

x+x+6-7+x

3-x+2x-4+2x=3x-1

Given information

The given expression in the problem is,

6+(-x)+2x+(-7)+2x

<h3>Equivalent expression</h3>

Equivalent expression is the expression which is equal to the original equation but the way of representation is different.

The given equation is,

6+(-x)+2x+(-7)+2x

As the product of the negative and positive is negative. Thus solve the equation by opening the bracket.

6+(-x)+2x+(-7)+2x=6-x+2x-7+2x\\&#10;6+(-x)+2x+(-7)+2x=-x+2x+2x+6-7\\&#10;6+(-x)+2x+(-7)+2x=3x-1

Check all the option,

  • 1) The expression given in the option 1 is,

x+x+6-7+x

Solve it further,

x+x+6-7+x=x+x+x+6-7\\&#10;x+x+6-7+x=3x-1\\

The result is equal to the result of the given expression. Thus the expression of the option 1 is equivalent to the expression given in the problem.

  • 2) The expression given in the option 2 is,

2x+2+x

Solve it further,

2x+2+x=2x+x+2\\2x+2+x=3x+2

The result is not equal to the result of the given expression. Thus the expression of the option 2 is not equivalent to the expression given in the problem.

  • 3) The expression given in the option 3 is,

3-x+2x-4+2x

Solve it further,

3-x+2x-4+2x=3x-1

The result is equal to the result of the given expression. Thus the expression of the option 3 is equivalent to the expression given in the problem.

  • 4) The expression given in the option 4 is,

x-1

The expression of the option 4 is not equivalent to the expression given in the problem.

  • 5) The expression given in the option 4 is,

x+1

The expression of the option 5 is not equivalent to the expression given in the problem.

Hence the equivalent expression of the given expression are,

x+x+6-7+x

3-x+2x-4+2x=3x-1

Learn more about the equivalent expression here;

brainly.com/question/10628562

7 0
2 years ago
Read 2 more answers
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