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zaharov [31]
3 years ago
12

Seats for Mathematics, Physics and Biology in a school are in the ratio 5 : 7 : 8. There is a proposal to increase these seats b

y 40%, 50% and 75% respectively. What will be the ratio of increased seats?
​
Mathematics
1 answer:
Minchanka [31]3 years ago
3 0
The new ratio will be
(5*1.4) : (7*1.5) : (8*1.75)
Or 7 : 10.5 : 14
To make them all whole numbers multiply them by 2 (because there is .5 after the 10)

Result: 14 : 21 : 28
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What is the solution of -3x + 7 = -2 ?
motikmotik

Answer:

X= -3

Step-by-step explanation:

Subtract 7 from both sides of the equation

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Divide both sides of the equation by the same term

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Find the scale factor of the dilation. Then tell whether the dilation is a reduction or and enlargement...
faltersainse [42]
Scale factor is 1/3
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5 0
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The probability distribution of the amount of memory X (GB) in a purchased flash drive is given below. x 1 2 4 8 16 p(x) .05 .10
Rama09 [41]

Answer:

a) E(X) = 6.45

b) E(X^{2} )= 57.25

c) V(X) = 15.648

d) E(3X + 2) = 21.35

e) E(3X^{2} +2) = 173.75

f) V(3X+2) = 140.832

g) E(X+1) = 7.45

h) V(X+1) = 15.648

Step-by-step explanation:

a) E(X) = \sum xP(x)

E(X) = (1*0.05) + (2*0.10) + (4*0.35) + (8*0.40) + (16*0.10)\\E(X) = 6.45

b)

E(X^{2} ) = (1^{2} *0.05) + (2^{2} *0.10) + (4^{2} *0.35) + (8^{2} *0.40) + (16^{2} *0.10)\\  E(X^{2} )= 57.25

c)

V(X) = E(X^{2} ) - (E(X))^{2} \\V(X) = 57.25 - 6.45^{2} \\V(X) = 15.648

d)

E(3X+2) = 3E(X) + 2\\E(3X+2) = (3*6.45) + 2 \\E(3X+2) = 21.35

e)

E(3X^{2} +2) = 3E(X^{2} ) + 2\\E(3X^{2} +2) = (3*57.25) + 2 \\E(3X^{2} +2) = 173.75

f)

V(3X+2) = 3^{2} V(X)\\V(3X+2) = 9*15.648\\V(3X+2) = 140.832

g)

E(X+1) = E(X) + 1\\E(X+1) = 6.45 + 1\\E(X+1) =7.45

h)

V(X+1) = 1^{2} V(X)\\V(X+1) = 15.648

6 0
3 years ago
To obtain the area of a sector, what fraction is multiplied by the area of a circle (A = πr2)?
romanna [79]
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A_1=\dfrac{\alpha}{2\pi} \cdot A=\dfrac{\alpha}{2\pi} \cdot \pi r^2= \dfrac{r^2\alpha}{2}.

6 0
3 years ago
Cody wants to attend the fall festival at school. The price of admission to the festival is $5.50 and each game cost an addition
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5 0
2 years ago
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