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Jet001 [13]
3 years ago
8

Last summers, students who worked earned an average of $80 a week with a standard deviation of $12. What percentage of students

earned more that $104 per week?
Mathematics
1 answer:
Roman55 [17]3 years ago
5 0

Answer:

  • 2.28%

Step-by-step explanation:

<u>Given:</u>

  • μ = 80
  • σ = 12
  • x = 104

<u>Find z-score:</u>

  • z = (x - μ)/σ
  • z = (104 - 80)/12 = 2

Percent value corresponding to 2 as per z-table is 0.9772. This is corresponding to 97.72%.

<u>Percentage of students earned more than $104:</u>

  • 100 - 97.72 = 2.28
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Find the area of the shape below.
m_a_m_a [10]

Answer:

 A_{shape}=A_{triangle}+A_{square}\\\\A_{shape}=(\frac{bh}{2}+s^2)\ units^2

Step-by-step explanation:

I assume that it is a composed figure formed by a triangle and a square.Since you did not  give the dimensions of the triangle and the dimensions of the square, I will giveyou  a general explanation about how to solve this exercise.

The area of the shape will be the sum of the the area of the square and the area of the triangle.

Then, you need to remember that the area of a triangle can be calculated with the following formula:

A_{triangle}=\frac{bh}{2}

Where "b" is the base and "h" is the height.

And the area of a square can be found with this formula:

A_{square}=s^2

Where "s" is the length of any side of the square.

Therefore, the area of the shape will be

 A_{shape}=A_{triangle}+A_{square}\\\\A_{shape}=(\frac{bh}{2}+s^2)\ units^2

3 0
3 years ago
Help me please T^T<br><br> Solve for m.<br> m+1/3&lt;-2 1/4
tia_tia [17]

Answer:

answer is the second option  m<-2 7/12

Step-by-step explanation:

process:

convert -2 1/4 into an improper fraction

m+1/3 < -9/4

m <-9/4 -1/3

calculate the difference

m<-31/12

turn into a mixed fraction

7 0
2 years ago
One thousand raffle tickets are sold at $2 each. Six prizes will be awarded, one first prize worth $500, two second prizes worth
zvonat [6]
Oliver would have a 1/1000 chance of getting $500, a 2/1000 chance of earning $300, and a 3/1000 in earning $1000. He would have a 994/1000 chance of making no money back
8 0
3 years ago
Explain how the difference of a fraction or a rational number and its additive inverse is equal to zero.
Jobisdone [24]
This question is in reverse (in two ways): 

<span>1. The definition of an additive inverse of a number is precisely that which, when added to the number, will give a sum of zero. </span>

<span>The real problem, in certain fields, is usually to show that for all numbers in that field, there exists an additive inverse. </span>

<span>Therefore, if you tell me that you have a number, and its additive inverse, and you plan to add them together, then I can tell you in advance that the sum MUST be zero. </span>

<span>2. In your question, you use the word "difference", which does not work (unless the number is zero - 0 is an integer AND a rational number, and its additive inverse is -0 which is the same as 0 - the difference would be 0 - -0 = 0). </span>

<span>For example, given the number 3, and its additive inverse -3, if you add them, you get zero: </span>
<span>3 + (-3) = 0 </span>

<span>However, their "difference" will be 6 (or -6, depending which way you do the difference): </span>

<span>3 - (-3) = 6 </span>
<span>-3 - 3 = -6 </span>

<span>(because -3 is a number in the integers, then it has an additive inverse, also in the integers, of +3). </span>

<span>--- </span>

<span>A rational number is simply a number that can be expressed as the "ratio" of two integers. For example, the number 4/7 is the ratio of "four to seven". </span>

<span>It can be written as an endless decimal expansion </span>
<span>0.571428571428571428....(forever), but that does not change its nature, because it CAN be written as a ratio, it is "rational". </span>

<span>Integers are rational numbers as well (because you can always write 3/1, the ratio of 3 to 1, to express the integer we call "3") </span>

<span>The additive inverse of a rational number, written as a ratio, is found by simply flipping the sign of the numerator (top) </span>

<span>The additive inverse of 4/7 is -4/7 </span>

<span>and if you ADD those two numbers together, you get zero (as per the definition of "additive inverse") </span>

<span>(4/7) + (-4/7) = 0/7 = 0 </span>

<span>If you need to "prove" it, you begin by the existence of additive inverses in the integers. </span>
<span>ALL integers each have an additive inverse. </span>
<span>For example, the additive inverse of 4 is -4 </span>

<span>Next, show that this (in the integers) can be applied to the rationals in this manner: </span>

<span>(4/7) + (-4/7) = ? </span>
<span>common denominator, therefore you can factor out the denominator: </span>

<span>(4 + -4)/7 = ? </span>
<span>Inside the bracket is the sum of an integer with its additive inverse, therefore the sum is zero </span>
<span>(0)/7 = 0/7 = 0 </span>

<span>Since this is true for ALL integers, then it must also be true for ALL rational numbers.</span>
5 0
3 years ago
The train station clock runs too fast and gain 11 minutes every 3 days. How many minutes and seconds will it have gained at the
WARRIOR [948]
660sec in 3 days.
So 220sec per days
220•5= 1100
1100sec = 18min and 30 second.

Ans:
18min and 30 sec
5 0
3 years ago
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