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2 years ago

) Round (3/4) to the nearest 1/2. 3 4 Oa.) 0 Ob.) 1/2 OC.) 1 Save

Mathematics

1 answer:

cestrela7 [59]2 years ago

4 0

Answer:

Step-by-step explanation:

if we are equidistant and in the upper part of a whole number, we round up. if in the lower part of a whole number, we round down.

so,

3/4 gets rounded up to 1 as the nearest 1/2 (as 1 = 2/2).

1/4 would get rounded down to 0 as the nearest 1/2 (as 0 = 0/2).

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Line j has an equation of y - 8 = -2/3(x+5). Line K is perpendicular to line j and passes + through (-6, -2). What is the equati

riadik2000 [5.3K]

Answer:

y = $\frac{3}{2}$ x + 7

Step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

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y - 8 = - $\frac{2}{3}$ (x + 5) ← is in point- slope form

with m = - $\frac{2}{3}$

given a line with slope m then the slope of a line perpendicular to it is

$m_{perpendicular}$ = - $\frac{1}{m}$ = - $\frac{1}{-\frac{2}{3} }$ = $\frac{3}{2}$

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There are 2504 computer science students at a school. Of these, 1876 have taken a course in Java, 999 have taken a course in Lin

Y_Kistochka [10]

Answer:

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Step-by-step explanation:

As per the given data of the question:

Total number of students = 2504

Number of students in Java (J) = 1876

Number of students in Linux (L) = 999

Number of students in C = 345

J∩L = 876

L∩C = 231

C∩J = 290

L∩J∩C = 189

Now according to Venn-diagram as drawn below:

Number of students haven taken courses in Java and Linux both only

= J∩L - L∩J∩C

= 876 - 189

= 687

Number of students haven taken courses in Java and C both only

= C∩J - L∩J∩C

= 290 - 189

= 101

Number of students haven taken courses in C and Linux both only

= L∩C - L∩J∩C

= 231 - 189

= 42

Therefore,

Number of students only in Java = 1876 - 687 - 189 - 101 = 899

Number of students only in Linux = 999 - 687 - 189 - 42 = 81

Number of students only in C = 345 - 42 - 189 - 101 = 13

So,

Number of students who have not taken a course in any of these three subjects

= 2504 - 899 - 81 - 13 - 687 - 189 -101 - 42

= 492

Hence, the students who have not taken a course in any of these three subjects = 492.

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