All categories

3 years ago

Two bags contain coloured cubes.

Mathematics

1 answer:

spayn [35]3 years ago

8 0

Answer:

equal

Step-by-step explanation:

Bag 1 has 3 red cubes and 1 blue cube. = 4 cubes

Bag 2 has 3 green cubes, 1 yellow cube, and 1 red cube.= 5 cubes

P ( red bag 1) = red /total = 3/4

P (yellow bag 2) = yellow /total = 1/5

P(red bag1 , yellow bag2) = 3/4* 1/5 = 3/20

P ( blue bag 1) =blue /total =1/4

P (green bag 2) = green /total = 3/5

P(blue bag1 , green bag2) = 1/4* 3/5 = 3/20

The probabilities are equal

You might be interested in

A supervisor finds the mean number of miles that the employees in a department live from work. Which mileage is within a z-score

Vikentia [17]

The z-score tells you how many standard deviations from the mean.

1.5 * 3.6 = 5.4 miles 

So anything within 5.4 miles of the average (29). 

The range would be: 
29 - 5.4 = 23.6 
to: 
29 + 5.4 = 34.4 

23.6 ≤ x ≤ 34.4 

Answer: 
B) 24 miles

7 0

3 years ago

Read 2 more answers

Please help with this Khan Question :)

astraxan [27]

Answer:

the answer is A

Step-by-step explanation:

4 0

2 years ago

The heat developed in an electric wire varies jointly as the wires resistance, the time the current flows, & the square of t

never [62]

Answer:

4 ohms

Step-by-step explanation:

The question is "In two minutes a current of 5 amps develops 1,200 heat units in a wire of 8 ohms resistance. What resistance does a similar wire have, which develops 6,000 heat units with a current of 10 amps in 5 minutes?"

Current, I₁ = 5 A

Heat, Q₁ = 1200 units

Resistance, R₁ = 8 ohms

Time, t₁ = 2 min = 120 s

New heat, Q₂ = 6000 units

Current, I₂ = 10 A

New time, t₂ = 5 min = 300 s

We need to find the new resistance.

Heat developed is given by :

$Q=I^2Rt$

$\dfrac{Q_1}{I_1^2R_1t_1}=\dfrac{Q_2}{I_2^2R_2t_2}\\\\R_2=\dfrac{Q_2\times I_1^2R_1t_1}{Q_1I_2^2t_2}\\\\R_2=\dfrac{6000\times 5^2\times 8\times 120}{1200\times 10^2\times 300}\\\\=4\ \Omega$

So, the new resistance is 4 ohms.

5 0

2 years ago

A Pentagon is transformed according to the rule R0, 180°. Which is another way to state the transformation?

postnew [5]

The another way to state the transformation would be $(x,y)>(-x,-y)$

Solution:

Rotation about the origin at $180^\circ$ : $R_{180^\circ}A \rightarrow O = R_{180^\circ} (x, y) \rightarrow (-x,-y)$

The term R0 means that the rotation is about the origin point. Therefore, (R0,180) means that we are rotating the figure to $180^\circ$ about the origin.

So, the transformation of the general point (x,y) would be (-x,-y) when it is rotated about the origin by an angle of $180^\circ$ .

Hence according to the representation, the expression would be $(x, y) \rightarrow (-x, -y)$ .

8 0

3 years ago

Read 2 more answers

Over a 10 year period, an original principal of $4500 accumulated to $6925 in an account in which interest was compounded semian

forsale [732]

Answer:

Determine the effective annual rate of interest (rounded to 2 decimal places)

% anual 4,36%

Step-by-step explanation:

Monthly % anual % semiannualy N Monthly Exponentiation VF

4500 4,36% 2,18% 20 4500 1,54 6.925,41

8 0

3 years ago