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Furkat [3]
4 years ago
7

a local college student will be randomly selected to attend a leadership conference in washington D.C. There are 2020 lacal coll

ege students of which 40% are male 480 of the college students are gradruate students and half of the gradruate students are female. Which of the following best represents the probrability that the selected college student will be a male student or a gradruate student?
Mathematics
1 answer:
inessss [21]4 years ago
5 0
Graduated : 480 among which 240 are (F and graduated) and 240 are (Male and graduated) 
<span>40% of 2020 are Male : 808 ==> (Male and non graduated) : 808 - 240 = 568</span>
<span>therefore : </span>
<span>Male or Graduated = (Male and non graduated) + Graduated (M or F) </span>
<span>= 568 + 480 </span>
<span>= 1048</span>
<span>and therefore : </span>
<span>1048/2020 = 51.88%</span>
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If one line has a slope of 2/3, then the slope of a line parallel to it would be?
ipn [44]

-3/2

perpendicular slopes are those that are opposite sign and reciprocal of the original given slope

8 0
3 years ago
Multiply? I don't know how to do this o.o<br><br> (X+4√2) (x-4√2) (x-3i)
Korolek [52]

Answer:

x^{3} -(3i) \; x^{2} -32x + 96 i.

Step-by-step explanation:

Notice that the first two factors are in the form (x-a)(x+a), which is equal to (x^{2} - a^{2}). Start by combining and expanding these two factors:

Let a = 4\sqrt{2}.

a^{2} = 16 \times 2 = 32.

(x + a) (x - a) = x^{2} - a^{2} = x^{2} -32.

This expression can now be expressed as (x^{2} - 32)(x - 3i). i stands the unit imaginary number, where i^{2} = -1. Unless i is raised to a certain power other than 1, it can be treated just like a constant.

Expand this expression using FOIL:

\begin{aligned}&(x^{2} - 32)(x - 3i)\\=&\underbrace{x^{2}\cdot x}_{\verb!F!} +\underbrace{(x^{2})(-3i)}_{\verb!O!} + \underbrace{(-32)x}_{\verb!I!} + \underbrace{(-32)(-3i)}_{\verb!L!}\\=& x^{3} -(3i)x^{2}-32x + 96i \end{aligned}.

6 0
3 years ago
Classify the following data. Indicate whether the data is qualitative or quantitative, indicate whether the data is discrete, co
dybincka [34]

Answer:

The data is quantitative

Data is discrete

The highest level is Ordinal

Step-by-step explanation:

Data is of quantitative type when it allows us to measure, in a numerical and objective way, the differences  between different observations. Eventhough the supervisor uses words ( fair, poor etc) he can assign numerical values and measure differences between observations that has sense. Qualitative data refers to opinions, stories, interviews, images or data that cannot be interpreted numerically and has subjective interpretations depending in researcher.

Data is discrete because the variable measured: evaluation rating, can only takes certain specific values (1 to 5) A continuous variable, such as height can take many values in a ratio or real line,

Nominal data refers to variables that takes two possible values - the presence and absence of a characteristic, like being or not being a minor. Ordinal variables are variable which are discrete but the value of the variable allows to classify data in a specific order. This is the case of the rating scale. Interval variables are are ones that have specific low levels and high levels like age ranges.

8 0
3 years ago
1 inch : 12feet. if the actual width of the tent is 36 feet how wide is the tent.​
Murljashka [212]

Answer:

If the actual width is 36 feet, then the tent is 3 inches wide in scale.

Step-by-step explanation:

Let x be the width in inches.

The scale is: 1 inch : 12feet. The scale can be represented as inches to feet ratio and then equivalent ratios will be used

This can be expressed as fraction as 1/12

The equivalent ratios are:

\frac{1}{12} = \frac{x}{36}\\\frac{36}{12} = x\\x = 3

Hence,

If the actual width is 36 feet, then the tent is 3 inches wide in scale.

7 0
3 years ago
Factorise x2 + 13x + 42
kirill [66]

Answer:

you can use the formula "<em>Cross method" </em>  in which the last number of the equation is the sum of 2 number multiplication that also sums the 2nd num of the equation.

so it becomes

(x +6)(x +7)

WHY?

Bcs when u multiply 6 x 7 = 42 ( the last number of the equation)

      when u sum 6 + 7 = 13 ( the 2nd number of the equation)

Hope this helps :)

8 0
3 years ago
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