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Sati [7]
3 years ago
11

A bag contains 100 apples, 100 bananas, 100 oranges, and 100 pears. If I pick one piece of fruit out of the bag every minute, ho

w long will it be before I am assured of having picked at least a dozen pieces of fruit of the same kind?
Mathematics
1 answer:
k0ka [10]3 years ago
5 0

Answer:

required time is here 45 minutes

Step-by-step explanation:

given data

apples = 100

bananas = 100

oranges = 100

pears = 100

solution

we have here 4 different kind of fruit

so that it is possible for each kind of fruit is

each kind of fruit is = 4 × 11  = 44

so each kind contain 11  fruit

as that 45th fruit make a dozen

now 1 fruit is pick every minute

'so we take here 45 minute to pick up 45 fruit

so that required time is here 45 minutes

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What is an equation of the line that is parallel to y=3x-8 and passes through the point, (4,-5)
VladimirAG [237]

Answer:

y= 3x-17

Step-by-step explanation:

When finding a parallel equation to y=mx+b, mx will always stay the same. So we have to find b.

In order to do this you plug the parallel lines passing point into the equation.

-5(y) goes into the y's spot. 4(x) goes into the x's spot.

-5 = 3 x 4 + b

-5 = 12 + b

-5 - 12 = 12 - 12 + b

-17 = b

y=3x-17

5 0
2 years ago
2x / 2x is equals to?​
Bond [772]
It’s equal to 1

2x divide by 2x = 1
— —
2x divide by 2x 1

which equals to 1
5 0
3 years ago
Alton had $725 for Medicare, $3000 for state income tax, and $3100 for
ella [17]

Answer:

\$6825

Step-by-step explanation:

Amount deducted for Medicare = $725

Amount deducted for state income tax = $3000

Amount deducted for Social security = $3100

To find: Total amount deducted from Alton's pay for FICA last year

Solution:

Total amount deducted from Alton's pay for FICA last year = Amount deducted for Medicare + Amount deducted for state income tax + Amount deducted for Social security   = 725+3000+3100

On adding 725 and 3000, we get 725+3000=3725

On adding 3725 and 3100, we get 3725+3100=6825

So, amount deducted = \$6825

7 0
3 years ago
Read 2 more answers
A bag contains tiles with the letters p-r-o-b-a-b-i-l-i-t-y. tyler chooses a tile without looking and doesn’t replace it. he cho
egoroff_w [7]
Sample space = {p, r, o, b, a, b, i, l, I, t, y} = 11 possible outcomes
1sr event: drawing an I ( there are 2 I); P(1st I) = 2/11
2nd event drawing also an i: This is a conditional probability, since one I has already been selected the remaining number of I is now 1, but also the sample space from previously 11 outcome has now 10 outcomes (one letter selected and not replaced)
2nd event : P(also one I) = 1/10
P(selecting one I AND another I) is 2/11 x 1/10

P(selecting one I AND another I) =2/110 = 0.018
5 0
3 years ago
Use the surface integral in​ Stokes' Theorem to calculate the circulation of the field Bold Upper F equals x squared Bold i plus
Alinara [238K]

Answer:

The circulation of the field f(x) over curve C is Zero

Step-by-step explanation:

The function f(x)=(x^{2},4x,z^{2}) and curve C is ellipse of equation

16x^{2} + 4y^{2} = 3

Theory: Stokes Theorem is given by:

I= \int \int\limits {{Curl f\cdot \hat{N }} \, dx

Where, Curl f(x) = \left[\begin{array}{ccc}\hat{i}&\hat{j}&\hat{k}\\\frac{∂}{∂x} &\frac{∂}{∂y} &\frac{∂}{∂z} \\F1&F2&F3\end{array}\right]

Also, f(x) = (F1,F2,F3)

\hat{N} = grad(g(x))

Using Stokes Theorem,

Surface is given by g(x) = 16x^{2} + 4y^{2} - 3

Therefore, tex]\hat{N} = grad(g(x))[/tex]

\hat{N} = grad(16x^{2} + 4y^{2} - 3)

\hat{N} = (32x,8y,0)

Now,  f(x)=(x^{2},4x,z^{2})

Curl f(x) = \left[\begin{array}{ccc}\hat{i}&\hat{j}&\hat{k}\\\frac{∂}{∂x} &\frac{∂}{∂y} &\frac{∂}{∂z} \\F1&F2&F3\end{array}\right]

Curl f(x) = \left[\begin{array}{ccc}\hat{i}&\hat{j}&\hat{k}\\\frac{∂}{∂x} &\frac{∂}{∂y} &\frac{∂}{∂z} \\x^{2}&4x&z^{2}\end{array}\right]

Curl f(x) = (0,0,4)

Putting all values in Stokes Theorem,

I= \int \int\limits {Curl f\cdot \hat{N} } \, dx

I= \int \int\limits {(0,0,4)\cdot(32x,8y,0)} \, dx

I= \int \int\limits {(0,0,4)\cdot(32x,8y,0)} \, dx

I=0

Thus, The circulation of the field f(x) over curve C is Zero

3 0
3 years ago
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