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2 years ago

600 can be written as 2a x b x cd where a,b,c and d are all prime numbers find the values of a, b, c and d

1 answer:

mihalych1998 [28]2 years ago

4 0

The prime factorisation of 600 is given by

$600 = 2 \times 2 \times 2 \times 3 \times 5 \times 5 = 2^3 \times 3 \times 5^2$

Therefore, a = 3, b = 3, c = 5 and d = 2.

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Two boys play basketball in the following way. They take turns shooting and stop when a basket is made. Player A goes first with

Softa [21]

Answer:

P(A) = p1 (1 − q1q2)

Step-by-step explanation:

Let A = player A wins,

then P(A) = p1 + (1 − p1)(1 − p2)P(A)

⇒ P(A) = p1 (1 − q1q2)

6 0

1 year ago

We are told that the two players, taken together, scored a total of 49 points. What is the probability that player A scored firs

mario62 [17]

Answer:

1/2 or 50% probability

Step-by-step explanation:

There are just two players, player A and player B. Since it is between this two players, for player A to score first we would have:

AB where player A is the first player to score, we wouldn't have BA since player would not be the first here

Probability = number of favorable outcomes/total number of outcomes

Therefore probability of A being the first player = number of A/total number of players

=1/2 = 0.50

There is therefore a 50% chance of A being the first player

7 0

1 year ago

A fence is guarding off a vegetable garden in the form of a rectangle. It has one side that is 10m greater than the other side.

DanielleElmas [232]

Answer:

The length of the fence needed to surround this garden is 188 meters.

Step-by-step explanation:

Given : A fence is guarding off a vegetable garden in the form of a rectangle. It has one side that is 10 m greater than the other side.

To find : The length of the fence needed to surround this garden if the area of the vegetable garden is 2184 m² ?

Solution :

Let the one side of rectangle be 'x'.

Then the other side is 'x+10'.

The area of the rectangle is 2184 m²,

i.e. $x(x+10)=2184$

$x^2+10x-2184=0$

Solve by middle term split,

$x^2+52x-42x-2184=0$

$x(x+52)-42(x+52)=0$

$(x+52)(x-42)=0$

$x=-52,42$

Reject negative value,

The side of the rectangle is 42 m.

The other side is 42+10=52 m

The perimeter of the rectangle is $P=2(l+b)$

$P=2(42+52)$

$P=2(94)$

$P=188$

Therefore, the length of the fence needed to surround this garden is 188 meter.

5 0

1 year ago

Select the correct answer.

Maslowich

Answer:

x is the correct answer

4 0

2 years ago

To buy a computer, Raquel borrowed $3,000 at 9%

kumpel [21]

Answer:

$4080

Step-by-step explanation:

We have the amount she will pay back, but first, we need to find the Interest accrued.

Simple Interest is given as:

$I = \frac{P * R * T }{100}$

where P = principal

R = rate

T = time taken (in years)

Therefore, the interest on $3,000 at 9% simple interest for 4 years is:

$I = \frac{3000 * 9 * 4}{100}$

I = $1080

Therefore, the amount she will pay back is:

$3000 + $1080 = $4080

6 0

1 year ago