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3 years ago

Two buses leave a station at the same time and travel in opposite directions. One bus travels

Mathematics

1 answer:

natima [27]3 years ago

4 0

Answer:

63 miles per hour

54 miles per hour

Step-by-step explanation:

Let the two buses be represented as bus A and bus B.

bus A and bus B leave a station at the same time and travel in opposite directions.

Let the speed of bus A be A miles per hour.

Let the speed of bus B be B miles per hour.

One bus travels 9 miles/hour slower than the other.

Let bus A be the faster bus.

This means that the speed of bus B is B = A - 9

If the two buses are 585 miles apart after 5hours, this means that after 5hours, the total distance travelled by bus A and bus B is 585 miles.

Distance travelled by bus A in 5 hours = speed × time = 5A

Distance travelled by bus B in 5 hours = speed × time = 5B

5A + 5B = 585 - - - - - -1

Substituting B = A - 9 in equation 1

5A + 5(A - 9) = 585

5A + 5A - 45 = 585

10A = 585 + 45 = 630

A = 630/10 = 63 miles per hour

B = A - 9 = 63 - 9 = 54 miles per hour

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natta225 [31]

Answer:

The probability that there will be repair exactly 3 toaster is 0.0574.

Step-by-step explanation:

Binomial Distribution:

A discrete random variable X having the set {0,1,2,3......,n} as the spectrum, is said have a binomial distribution with parameter n= number of trials and p=probability of number of success on an individual trial, if the p.m.f (probability mass function) of X given by,

$P(X=x)=C(n,x)p^x(1-p)^{n-x}$ x=0,1,2,......,n

=0 elsewhere

where 0<p<1 and n is a positive integer.

Total number of toaster in cartons(n) = 10.

Probability of number of success on an individual trial p= 10% = 0.10

$\therefore P(X=3)= C(10,3)(0.10)^3(1-0.10)^{10-3}$

$=\frac{10!}{3!(10-3)!}(0.10)^3)(0.90)^7$

=0.0574

The probability that there will be repair exactly 3 toaster is 0.0574.

6 0

3 years ago

On Monday, Jayla raised $30 and Carlos raised $50.

gayaneshka [121]

Answer:

84 days

Step-by-step explanation:

You would use the LCM to solve this.

12 and 7 don't share any common factors other than 1,

so you would multiply 12 x 7, which gets you 84.

After 84 days they would have raised the same amount.

8 0

3 years ago

What’s is the factor?<br> 125 +27y^3

11111nata11111 [884]

Answer:

$(3y+5)(9y^{2} -15y+25)$

Step-by-step explanation:

4 0

3 years ago

Use logarithmic differentiation to find the derivative with respect to x of the function y= (sin x)^lnx

Helga [31]

Logarithmic differentiation means tAke logarithm of both sides to make the function easier to find the derivative.

y = (sinx)^lnx

ln(y) = ln((sinx)^lnx)

power rule logarithm

ln(y) = ln(x) ln(sinx)

Take derivative

y'/y = ln(sinx)(1/x) + ln(x) cosx/sinx

multiply both sides by y

y' = y( ln(sinx)/x + ln(x)cotx )

remember y = (sinx)^lnx
sub this in for y

y' = (ln(sinx)/x + ln(x)cotx)(sinx)^lnx

4 0

3 years ago

The product of 576 and 684 is irrational or rational

umka2103 [35]

Answer: rational

Step-by-step explanation:

Definitely rational because 576 and 684 are both natural numbers

6 0

3 years ago

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