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algol [13]
3 years ago
10

A box contains five ping-pong balls, each with a number written on it. One ball has a one painted on it, one ball has a four, tw

o of the balls are labeled with a seven and one ball has an eight. The balls are picked from the box one at a time without replacement and placed in the order they are drawn, from left to right, to create a five-digit number. What is the probability that the five-digit number is a prime number greater than 5000
Mathematics
1 answer:
Temka [501]3 years ago
4 0

Answer:

0

Step-by-step explanation:

Numbers on balls:

1, 4, 7, 7, 8

Try to find the sum of all numbers:

1+4+7+7+8 = 27

According to the rule of 3, any number is dividable by 3 if the sum of it's individual is divided by 3.

27 is dividable by 3, therefore any combination will result a number with a factor of three.

Prime number is the number that is only dividable by 1 and itself. Therefore, any combination using those numbers are not prime number.

So the probability is 0

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Find the values of x for which the combined function h(x) = is undefined if f(x) = 5x + 1 and g(x) = x2 - 9.
Rama09 [41]
We need to know the definition of the "combined function" h(x).  I'm going to guess--by looking at answers--that the function is h(x)=\frac{f(x)}{g(x)} making it

h(x)=\frac{5x+1}{x^2-9}

This function is undefined wherever the denominator is equal to 0 (division by zero is undefined).  Factor the denominator.

h(x)=\frac{5x+1}{(x+3)(x-3)}

The two values of x that make the denominator 0 are 3 and -3, otherwise written x=\pm 3.
5 0
3 years ago
I need an answer quickly as im in lesson now
garri49 [273]
Object a:

perimeter is all the sides added together!
9+9=18
4.1+4.1= 8.2
18+8.2=36.2

object A’s perimeter is 36.2 CM
————————————————————
object b:
7.2+3+ 3.6= 13.8

object B’s perimeter is 13.8 CM

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hope this helped! xoxo
6 0
3 years ago
Kelly deposited $4,205 in an account for 3.5 years. She earned $662.29 in interest. What interest rate did the bank pay her?
mylen [45]

Answer:

r = 4.5%

Step-by-step explanation:

Formula:

I = Prt

r = I/(Pt)

Given:

I = 662.29

P = 4205

t = 3.5

Work:

r = I/(Pt)

r = 662.29/(4205 * 3.5)

r = 662.29/14717.5

r = 0.045

r = 4.5%

5 0
3 years ago
IS THIS CORRECT??????????
Alika [10]
The correct answers are the 3rd and 4th ones.
7 0
3 years ago
Read 2 more answers
Right triangle FHG is shown. The sine of angle F is 0.53. What is the cosine of Angle h ?
g100num [7]

<u>Given</u>:

Given that FGH is a right triangle. The sine of angle F is 0.53.

We need to determine the cosine of angle H.

<u>Cosine of angle H:</u>

Given that the sine of angle F is 0.53

This can be written as,

sin F=0.53

Applying the trigonometric ratio, we have;

\frac{HG}{FH}=0.53 ----- (1)

Now, we shall determine the value of cosine of angle H.

Let us apply the trigonometric ratio cos \ \theta=\frac{adj}{hyp}, we get;

cos \ H=\frac{HG}{FH} ----- (2)

Substituting the value from equation (1) in equation (2), we get;

cos \ H=0.53

Thus, the cosine of angle H is 0.53

6 0
3 years ago
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