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marin [14]
2 years ago
11

Express it in slope form

Mathematics
1 answer:
k0ka [10]2 years ago
4 0
Y=Mx+b is slop intercept form the slope of the line is 1/4 and b is the y intercept which the line crosses over at -3 so it would be Y=1/4x-3
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Three men and seven women are waiting to be interviewed for jobs. If they are all selected in random​ order, find the probabilit
sammy [17]

Answer:

1/50

Step-by-step explanation:

Given that:

  • Three men: 3
  • Seven women = 7
  • Total number of people: 7+3 =10

We need to find the probability that no man will be interviewed until at least two women have been interviewed. So there are two possible probabilities are:

1. One man and two women => P(1 man and 2 women) = 3/10*2/9 = 1/15

2. Three women => P(3 women) = 3/10

Hence, the probability in this situation is: 1/15*3/10 = 1/50

8 0
2 years ago
Mary mixes white paint in the ration 2:3
topjm [15]
11 more liters because then the ratio would be 2:14 which is equal to 1:7
8 0
3 years ago
Find, correct to the nearest degree, the three angles of the triangle with the given vertices. A(1, 0, −1), B(4, −3, 0), C(1
zavuch27 [327]

Answer:

Angle at vertex  A : 59.2° B: 61.7° C : 59.1°

Step-by-step explanation:

1. First find the length of the vectors  

AB = B-A = (4-1, 3-0, 0-1) = (3, 3, -1)

AC = C-A = (1-1, 4-0, 3-1) = (0, 4, 2)

BC = C-B = (1-4, 4-3, 3-0) = (-3, 1, 3)

2. Find magnitude of the vectors

|AB| = √(3^2+3^2+〖(-1)〗^2 )=√19  

|AC| = √(0^2+4^2+2^2 )=2√5

|BC| = √(〖(-3)〗^2+1^2+3^2 )=√19

3. Find the angles between them

cos θ = (a.b)/(|a||b|) -----> θ = arc cos ((a.b)/(|a||b|))

AB, AC : θ =arc cos (AB.AC)/(|AB||AC|) = arc cos ( (3.0+3.4+ -1.2)/(√19  x 2√5)=  10/(2√95) ) =59.136, which is approximately 59.14°

AB, BC : θ =arc cos (AB.BC)/(|AB||BC|) = arc cos( (3.-3+3.1+ -1.3)/(√19  x √19)=  (-9)/19 ) = 118.27°

Because of the direction of BC is pointing relative to AB this is the angle outside the triangle, and we should find the supplementary angle.

180-118.27 = 61.73°

If we used –(BC) = CB in the formula (just negate the numerator) we would have gotten the correct angle on first try.

The 3rd angle should be what’s left after subtracting from 180°;

180-61.73-59.14 = 59.13 °

You can confirm using the formula again :

AC, BC : θ =arc cos (AC.BC)/(|AC||BC|) = arc cos( (0.-3+4.1+ 2.3)/(√19  x 2√5)=  10/(2√95) = 59.13°

Rounding everything up so they add up to 180 degrees we have Angle at vertex  A : 59.2° B: 61.7° C : 59.1°

7 0
3 years ago
100 yd equals how many in
horrorfan [7]

100 yd * 3ft/1 yd * 12 in /1ft

100*3*12 in

3600 in

8 0
2 years ago
5/10 reduced to its lowest fraction
icang [17]

5/10 in the lowest fraction is 1/5

The decimal form is 0.5 if you need it

You should use the website Math wa* it helps you will a lot with math only but if you have to pay to see how the computer shows it work and steps to the answer but the answer is free just put the question and you get the answer. It is never wrong I've been using it for 4 years.

*=y so, the * is y at the end of the word

5 0
2 years ago
Read 2 more answers
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