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Vsevolod [243]
3 years ago
9

A sum of money is to shared among Betty, Luke and John in the ratio 4 : 7 : 9. If Luke's share amounts to $1295, calculate the t

otal sum of money to be shared.​
Mathematics
2 answers:
zepelin [54]3 years ago
8 0

Answer:

$3,700

Step-by-step explanation:

1,295/7=185

185x4=740

185x9=1,665

740+1,295+1,665=3,700

Hope this helps! :)

AlekseyPX3 years ago
6 0

Answer:

3,700

Step-by-step explanation:

hope this helps alot

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The average smoker typically pays 15% higher life insurance costs than the average non-smoker. If the monthly cost to a non-smok
algol13

Answer:

$575 per month

Step-by-step explanation:

$500 x 15% = $75

(15% of 500 = $75)

therefore

500 + 75 = $575 a non smoker must pay for insurance

6 0
3 years ago
The lengths of pregnancies are normally distributed with a mean of 268 days and a standard deviation of 15 days. If 64 women are
shtirl [24]

Answer:

0.3569 is the probability that they have a mean pregnancy between 266 days and 268 days.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ =  268 days

Standard Deviation, σ =  15 days

We are given that the distribution of lengths of pregnancies is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

Standard error due to sampling =

\displaystyle\frac{\sigma}{\sqrt{n}} = \frac{15}{\sqrt{64}} = \frac{15}{8}

P(pregnancy between 266 days and 268 days)

P(266 \leq x \leq 268) = P(\displaystyle\frac{266 - 268}{\frac{15}{8}} \leq z \leq \displaystyle\frac{268-268}{\frac{15}{8}}) = P(-1.0667 \leq z \leq 0)\\\\= P(z \leq 0) - P(z < -1.067)\\= 0.5000 - 0.1431 = 0.3569 = 35.69\%

P(266 \leq x \leq 268) = 35.69\%

6 0
3 years ago
the average annual income, /, in dollars, of a lawyer with an age of x years is modeled with with the following function: I=-425
krek1111 [17]

Answer:

26 years of age.

Step-by-step explanation:

The average annual income, I, in dollars, of a lawyer with an age of x years is modeled with with the following function:

I = - 425x² + 45500x - 650000 .......... (1)

If the average annual income of the lawyer at the age of x years is $250000, then from the equation (1) we can write

- 425x² + 45500x - 650000 = 250000

⇒ - 425x² + 45500x - 900000 = 0

⇒ - 17x² + 1820x - 36000 = 0

Now, using the quadratic formula,

x = \frac{- 1820 \pm \sqrt{(1820)^{2} - 4(-17)(- 36000) } }{2(- 17)} = \frac{-1820 + 929.73}{- 34} = 26 years (Approximate)

{We have neglected the other root as we need the youngest age}(Answer)

4 0
4 years ago
If p is true and ~ q is false, then p ~ q is always, sometimes, never false.
Paha777 [63]

Answer:

never

Step-by-step explanation:

The expression: ~q means "not q"

If ~q is false, then q is true

The expression:

If p is true and ~q is false

is equivalent to:

If p is true and q is true

then:

If p is true and q is true, then p -> q is <u>never</u> false (or is always true, see table attached). Or:

If p is true and ~q is false, then p -> ~q is <u>never</u> false.

7 0
3 years ago
Find 142.1% of 469.6. Round to the nearest thousandth.
Yuri [45]
667.302 would be the correct answer, I did it in a calculator
3 0
3 years ago
Read 2 more answers
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