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ella [17]
3 years ago
12

99g in the ratio 5:2:4

Mathematics
1 answer:
uranmaximum [27]3 years ago
4 0

Answer:

45:18:36

Step-by-step explanation:

99 = 5x +2x+4x\\99=11x\\x=9\\

substitute x back into 5x:2x:4x

Therefore, 99 in the ratio of 5:2:4...

45:18:36

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a man deposits 45 into an account the next day he makes 3 deposits of 20 $ each a week later he withdraws 105$
zheka24 [161]

Answer:

The amount available in account at last is $0  

Step-by-step explanation:

Given as :

The withdrawal amount from the account at the end = $105

The first deposit amount = $45

The next three deposit amount = $20 each

I.e The second deposit amount = 3 × $20

Or, The second deposit amount = $60

Let The amount available in account at last = $A

<u>Now, According to question</u>

The amount available in account at last = (first deposit amount  + second deposit amount) - withdrawal amount from the account at the end

i.e A = ($45 + $60) - $105

Or, A = $105 - $105

∴  A = $0

So, The amount available in account at last = A = $0

Hence, The amount available in account at last is $0   . Answer

8 0
3 years ago
The following probability distributions of job satisfaction scores for a sample of information systems (IS) senior executives an
Mashcka [7]

Answer:

Step-by-step explanation:

To calculate ;

1) the expected value of the job satisfaction score for senior executives ;

expected value = Summation (Px)

= 1 x 0.05 + 2 x 0.09 + 3 x 0.03 + 4 x 0.42 + 5 x 0.41

= 4.05

2) the expected value of the job satisfaction score for middle managers;

= 1 x 0.04 + 2 x 0.10 + 3 x 0.12 + 4 x 0.46 + 5 x 0.28

= 3.84

c) the variance of job satisfaction scores for executives and middle managers (to 2 decimals).

Executives ; Variance = Summation(PX^2 - Summation(PX)^2

i) For Executive Managers = 1 x 0.05 + 2^2 x 0.09 + 3^2 x 0.03 + 4^2 x 0.42 + 5^2 x 0.41 - 4.05^2 = 1.246 = 1.25

ii) for middle managers ; 1 x 0.04 + 2^2 x 0.10 + 3^2 x 0.12 + 4^2 x 0.46 + 5^2 x 0.28 - 3.84^2 = 1.134 = 1.13

d) the standard deviation of job satisfaction scores for both probability distributions (to 2 decimals). Executives, Middle managers;

For Executives = square root [ 1 x 0.05 + 2^2 x 0.09 + 3^2 x 0.03 + 4^2 x 0.42 + 5^2 x 0.41 - 4.05^2] = 1.12

For Middle Managers ; Square root [1 x 0.04 + 2^2 x 0.10 + 3^2 x 0.12 + 4^2 x 0.46 + 5^2 x 0.28 - 3.84^2 ] = 1.06

e) from the values gotten for the variance of both executive and middle managers, the variance of the former is more than that of the latter as such higher satisfaction with the executive managers.

5 0
3 years ago
Please find the least common denominator for4/5 2/3
Ghella [55]

Answer:

A denominator of 15

Step-by-step explanation:

3 and 5 both go into 15, 4/5 = 12/15 and 2/3=10/15

4 0
3 years ago
Read 2 more answers
Laura invests $2500 in one account and $1500 in an account paying 2 % higher interest. At the end of one year she had earned $11
Crank

Answer:

$2500 - 2%

$1500 - 4%

Step-by-step explanation:

Say the interest for the $2500 is x, so the interest for the $1500 is x+0.02.

As an equation, they would look like this:

2500x+1500(x+0.02)=110

Now solve

2500+1500x+30=110

4000x=80

x=0.02

That means the interest for the $2500 is 0.02, or 2%, and the interest for the $1500 is 0.04, or 4%.

6 0
3 years ago
A record store has 3,108 records evenly shared among 6 rows. How many records are in each row?
PilotLPTM [1.2K]

Answer:

518

i don't know if this needs much explaining.

3 0
2 years ago
Read 2 more answers
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