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3 years ago

Cara and Jena, working together, can clean the house in 4

Mathematics

1 answer:

kirill115 [55]3 years ago

6 0

Answer:

$\frac{4}{3}$ hrs/house

Step-by-step explanation:

Rate is the amount of work done per unit of time;

Let Cara's rate = C

Let Jena's rate = J

C + J = 4 ------ i

Now;

Working alone:

Jena takes twice as long as Cara

J = 2C ---- i

How long does it take Cara to clean a house alone

C + J = 4

J = 2C

C + 2C = 4

3C = 4

C = $\frac{4}{3}$ hrs/house

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Find the probability that a randomly generated bit string of length 10 does not contain a 0 if bits are independent and if a 0 b

jeka94

Answer:

Step-by-step explanation:

From the given information; Let's assume that R should represent the set of all possible outcomes generated from a bit string of length 10 .

So; as each place is fitted with either 0 or 1

$\mathbf{|R|= 2^{10}}$

Similarly; the event E signifies the randomly generated bit string of length 10 does not contain a 0

Now;

if a 0 bit and a 1 bit are equally likely

The probability that a randomly generated bit string of length 10 does not contain a 0 if bits are independent and if a 0 bit and a 1 bit are equally likely is;

$\mathbf{P(E) = \dfrac{|E|}{|R|}}$

so ; if bits string should not contain a 0 and all other places should be occupied by 1; Then:

$\mathbf{{|E|}=1 }$ ; $\mathbf{|R|= 2^{10}}$

$\mathbf{P(E) = \dfrac{1}{2^{10}}}$

4 0

3 years ago

⚠URGENT!!!⚠ <br><br> solve for m.

Zinaida [17]

Answer:

Step-by-step explanation:

Remark

Read the following carefully.

There is a beautiful theorem that has to do with the endpoints of two angles sharing the same endpoints.

To be a little clearer, I hope, that makes < BAC = <BDC because both angles have B and C as their endpoints inside the circle. Make sure you understand that statement before moving on.

For this problem <BDC = <CAB = 33 degrees.

That means that ADC = 37 + 33 = 70

Solution

<ADC and CBA are opposite angles.

That means that they add to 180

From the above statement in the Remark section <ADC = 37 + 33 = 70 degrees <ABD + <DBC = <ABC = m + 71

<ABC + ADC = 180

m + 71 + 70 = 180 Combine

m + 141 = 180 Subtract 141 from both sides.

m+141-141= 180 - 141 Combine

m = 39

Answer: m = 39