MATHEMATICS HIGH SCHOOL

A student identification card consistsof 5 digits selected from 10 possible
digits from 0 to 9. Digits cannot be
repeated. Find the probability that
randomly generated card has the
exact number 94213.

Answers

Answer 1
Answer:

Answer:

(1)/(30240)

Step-by-step explanation:

Given

ID Card of 5 digits

Possibly Digits = {0,1...,9}

Required

Probability that a card has exact number 94213

First, we have o determine the total possible number of ID card numbers

Let the card number be represented by ABCDE

Given that repetition of digits is not allowed;

A can be any of 10 digits

B can any of the remaining 9 digits

C can be any of the remaining 8 digits

D can be any of the remaining 7 digits

E can be any of the remaining 6 digits

Total number of cards = 10 * 9 *8 * 7 * 6

Total = 30240

Provided that the card number is generated at random; each card number has the same probability of (1)/(30240)

Hence, the probability of having 94213 is (1)/(30240)

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A colony of bacteria is growing exponentially according to the function below, where t is in hours. What will the approximate number of bacteria be after 6 hours?

Answers

the approximate number of bacteria be after 6 hours will be 400
B(t) = (4)(e^(0.8t))

Answer:

486

Step-by-step explanation:

Just answered it

Someone help me with my homework

Answers

Answer:

C

Step-by-step explanation:

The answer is C both the cube and rectangular prisms have 12 edges. We can tell the first two are wrong because both have 6 sides. We can tell the last one is wrong by counting. Both shapes have over 6 edges.

Answer:

Each shape has 12 edges

Step-by-step explanation:

Counting the faces, each shape has 6 faces, which rules out choices a and b

Counting edges (NOT corners), each shape has 12 edges, which rules out choice d.

Evaluate |x + y|, for x = 8 and y = -15.

Answers

First, we substitute the numbers to the corresponding variables.

|(8) + (-15)|

And we change the plus sign since we’re just basically subtracting.

|8 - 15|

|-7|

Now to do absolute values, we must remember that it will always equal a positive unless there is a negative sign outside of the | |.

So the final answer will be 7.

The perimeter of a rectangular painting is 318 cm.If the length of the painting is 95 cm, what is its width?

Answers

Answer:

64 cm

Step-by-step explanation:

In a rectangle, two sides opposite each other would be equal to 95. (5 plus 95 is 190. 318 minus 190 is 128. 128 divided by 2 is 64. 64+64+95+95=318.
The length of the rectangle is 64

In ΔOPQ, p = 180 inches, q = 120 inches and ∠O=171°. Find the length of o, to the nearest inch.

Answers

Given:

In ΔOPQ, p = 180 inches, q = 120 inches and ∠O=171°.

To find:

The length of o, to the nearest inch.

Solution:

According to cosine formula,

a^2=b^2+c^2-2bc\cos A

Using cosine formula in ΔOPQ, we get

o^2=p^2+q^2-2pq\cos O

On substituting the values, we get

o^2=(180)^2+(120)^2-2(180)(120)\cos (171^\circ)

o^2=32400+14400-43200(-0.9877)

o^2=46800+42668.64

o^2=89468.64

Taking square root on both sides.

o=√(89468.64)

o=299.113

o\approx 299

Therefore, the length of o is about 299 inches.

Answer:299

Step-by-step explanation:

For wich values of x does 2x^2+10x

Answers

2x^2 + 10x doesn't do anything, unless it's equal to something.

All you've got so far is a number.  We can't even tell what it is
until we know what number 'x' is.

Is there another little part of the question that you didn't copy ?
Factor out at 2 so 2(x+5)(x+0)
Set them equal to 0 so
2=0 that's not a solution
X+5=0 so x=-5 that works
And the last one x=-0 well negative 0 doesn't exist so the only value that works is -5
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