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3 years ago

What will be the cost for carpeting a room of length 9ft and breadth 6ft ar the rate rs125 per suqare ft ? find it

Mathematics

1 answer:

SCORPION-xisa [38]3 years ago

3 0

Answer:

6750

Step-by-step explanation:

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Suppose that 7 female and 5 male applicants have been successfully screened for 5 positions. If the 5 positions are filled at ra

katen-ka-za [31]

Answer:

(a) 350

(b) 175

(d) 196

Step-by-step explanation:

Number of females = 7

Number of males = 5

Total ways of selecting r items from n items is

$^nC_r=\dfrac{n!}{r!(n-r)!}$

(a)

Total ways of selecting 3 females and 2 males.

$\text{Total ways}=^7C_3\times ^5C_2$

$\text{Total ways}=\dfrac{7!}{3!(7-3)!}\times \dfrac{5!}{2!(5-2)!}$

$\text{Total ways}=35\times 10$

$\text{Total ways}=350$

(b)

Total ways of selecting 4 females and 1 male.

$\text{Total ways}=^7C_4\times ^5C_1$

$\text{Total ways}=32\times 5$

$\text{Total ways}=175$

(c)

Total ways of selecting 5 females.

$\text{Total ways}=^7C_5\times ^5C_0$

$\text{Total ways}=21\times 1$

$\text{Total ways}=21$

(d)

Total ways of selecting at least 4 females.

Total ways = 4 females + 5 females

$\text{Total ways}=175+21$

$\text{Total ways}=196$

6 0

3 years ago

The Hawks are starting a babysitting business. They charge an initial deposit of $25 and a rate of $4 an hour. A linear model is

Sauron [17]

What’s the question so I can answer it.

7 0

3 years ago

Determine the time necessary for P dollars to double when it is invested at interest rate r compounded annually, monthly, daily,

kipiarov [429]

9514 1404 393

Answer:

annually: 9.01 years
monthly: 8.69 years
daily: 8.67 years
continuously: 8.66 years

Step-by-step explanation:

For interest compounded in discrete intervals, the formula is ...

A = P(1 +r/n)^(nt)

We want to find t for P=1 and A=2, so we have ...

2 = (1 +r/n)^(nt)

ln(2) = nt·ln(1+r/n)

t = ln(2)/(n·ln(1+r/n))

A table of values for r=0.08 is attached.

For continuous compounding, the formula is ...

A = Pe^(rt)

t = ln(A/P)/r = ln(2)/0.08 ≈ 8.66434 . . . . years

annually: 9.01 years
monthly: 8.69 years
daily: 8.67 years
continuously: 8.66 years

5 0

2 years ago

If terrance ran 12mph and jesse ran 8mph how long will it take them to run 50 miles

Sholpan [36]

Answer:

Terrance would take 4.2666 hours, Jesse would take 6.25 hours

Step-by-step explanation:

1h/12m per hour x 50m/1h is also 50m/12m per hour = 4.266 hours (round number)

1h/8m per hour is also 50m/8m per hour = 6.25 hours (round number)

6 0

3 years ago

Which is an equivalent expression for 21a+35?

ki77a [65]

Answer:

7(3a + 5)

Step-by-step explanation:

Rewrite 21 as 7 · 3

Rewrite 35 as 7 · 5

Therefore,

⇒ 21a + 35 = 7 · 3a + 7 · 5

Factor out common term 7:

⇒ 7 · 3a + 7 · 5 = 7(3a + 5)

5 0

2 years ago