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JulsSmile [24]
3 years ago
11

14/x+3-1=5/x+1 solve for x

Mathematics
1 answer:
Ierofanga [76]3 years ago
7 0
The correct answer is: X=9
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our buses carrying 140 high school students arrive to Montreal. The buses carry, respectively, 31, 43, 27, and 39 students. One
Vinvika [58]

Answer:

V(X)= 39.10

V(Y)= 40

Step-by-step explanation:

Given that

Total number of student = 140

Bus A - 31

Bus B- 43

Bus C- 27

Bus D- 39

The probability that a student was on the bus is proportional to the number of student. Eg 31/140 in bus A, 43/140 on bus B, ...

E(X) = (31*31/140) + (43*43/140)  + (27*27/140) + (39*39/140)

=  35.5

Var(X) =(31-35.5)^2 \times \dfrac{31}{140}+(43-35.5)^2 \times \dfrac{43}{140}+(39-35.5)^2 \times \dfrac{39}{140}+(27-35.5)^2 \times \dfrac{27}{140}

V(X)= 39.10

The bus driver have  1/4 probability on being on any of the buses.

E(Y) = 140/4 = 35

Var(Y)=\dfrac{(35-31)^2+(35-43)^2+(35-27)^2+(35-39)^2}{4}

V(Y)= 40

7 0
3 years ago
PLSSSSSSS HELPPPPPppppp
icang [17]

Answer:

20 units

Step-by-step explanation:

The polygon has 4 vertices as indicated by the 4 coordinate points given.

(3, 1) and (8, 1) is a horizontal side of length 8 - 3 = 5

Similarly

(3, 6) and (8, 6) is the opposite horizontal side of length 8 - 3 = 5

Points (3, 1) and (3, 6) is a vertical side of length 6 - 1 = 5

(8, 1) and (8, 6) is the opposite side of length 6 - 1 = 5

The polygon is therefore a square of side 5 units.

Perimeter = 4 × 5 = 20 units

5 0
3 years ago
The height of a triangle is 4 feet more than 3 times the base. If the area is 112 ft find the base and height of the triangle
Finger [1]

Answer:

base = 8 ft\\height =28 ft\\

Step-by-step explanation:

let base be x ft. then the height is 3x+4

Area=\frac{1}{2} \times x  \times (3x+4)=112\\3x^{2} +4x=224\\3x^{2} +4x-224=0\\x=8, x=-9.33 (no sol. as length can not be negative)\\ x=8\\base = 8 ft\\height =3(8)+4=28 ft\\

6 0
3 years ago
Read 2 more answers
Company A operates stores under multiple banners in 36 states in the U.S. a. How many states do not have a store operated by Com
Airida [17]

There are 50 States so if the no. of states in which company A operates is 36 then the no. of states it does operate = 50 - 36 = <em><u>14</u></em>

14/50 = 7/25 states does not have a store operated by company A

7 0
3 years ago
The probability that an automobile being filled with gasoline also needs an
bogdanovich [222]

P(B | A) = probability of B given A

P(B | A) = P(B and A) / P(A)

thus

P(new oil filter | oil change) = P(both) / P(oil change)

= 0.14 / 0.25

(b) = 0.14 / 0.4

3 0
3 years ago
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