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Yakvenalex [24]
3 years ago
9

Two years ago, Mr Singh was 7 times as old as his son. In 3 years' time, he will be 4 times as old as his son. Find Mr Singh's p

resent age.​
Mathematics
2 answers:
Reptile [31]3 years ago
7 0
Me Singh is currently 37 I think and I hope
Anna007 [38]3 years ago
6 0

Answer:

37 years old.

Step-by-step explanation:

2 years ago

Singh-  7s

Son- s

3 years in the future(so 5 years forward)

Singh- 7s+5

Son- s+5

7s+5 = 4(s+5)

7s+5 = 4s+20

3s = 15

s=5

2 years ago the son was 5 so Mr. Singh was 35

Now Mr. Singh is 37

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What is the wquation of a circle with center (-2.3) and radius 4
yanalaym [24]
The equation of any circle is

(x - a)^2 + (y - b)^2 = radius^2 where our center is (a, b)

Therefore, our equation is as follows.

(x + 2)^2 + (y - 3)^2 = 16
5 0
3 years ago
According to the American Lung Association, 7% of the population has lung disease. Of those having lung disease, 90% are smokers
postnew [5]

Answer:

Probability that a smoker has lung disease = 0.2132

Step-by-step explanation:

Let L = event that % of population having lung disease, P(L) = 0.07

So,% of population not having lung disease, P(L') = 1 - P(L) = 1 - 0.07 = 0.93

S = event that person is smoker

% of population that are smokers given they are having lung disease, P(S/L) = 0.90

% of population that are smokers given they are not having lung disease, P(S/L') = 0.25

We know that, conditional probability formula is given by;

                        P(S/L) = \frac{P(S\bigcap L)}{P(L)}  

                        P(S\bigcap L) = P(S/L) * P(L)

                                      = 0.90 * 0.07 = 0.063

So,  P(S\bigcap L) = 0.063 .

Now, probability that a smoker has lung disease is given by = P(L/S)

      P(L/S) = \frac{P(S\bigcap L)}{P(S)}

P(S) = P(S/L) * P(L) + P(S/L') * P(L')

       = 0.90 * 0.07 + 0.25 * 0.93 = 0.2955

Therefore, P(L/S) = \frac{0.063}{0.2955} = 0.2132

Hence, probability that a smoker has lung disease is 0.2132 .

7 0
3 years ago
Find the amount of each payment to be made into a sinking fund which earns 9​% compounded quarterly and produces ​$43 comma 000
Solnce55 [7]

Answer:

$2647.18

Step-by-step explanation:

Formula : A[\frac{1+(\frac{r}{n})^{n}-1 }{(\frac{r}{n} )}]

Future value = $43,000

r = rate of interest = 9% = 0.09

t = 3.5 years (compounded quarterly)

n = number of compounding (3.5 × 4) = 14

Now put the values into formula :

43000 = A[\frac{1+(\frac{0.09}{4})^{14}-1 }{(\frac{0.09}{4} )}]

43000=A(\frac{(1+0.0225)^{14}-1}{\frac{0.09}{4}})

43000=A(\frac{(1.0225)^{14}-1}{0.0225})

43000=A(\frac{0.365483427}{0.0225})

43,000 = A(16.243708)

A = \frac{43000}{16.243708}

A = $2,647.17883 ≈ $2647.18

5 0
3 years ago
Y=-4x-7 in standard form
Lapatulllka [165]
<span>Y=-4x-7 in standard form is,</span> y + 4 * x + 7 = 0

6 0
3 years ago
Solve the equation please!
yKpoI14uk [10]

Answer:

z=-60

Step-by-step explanation:

1/6z=-10

z=-10×6

z=-60

6 0
3 years ago
Read 2 more answers
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