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Nady [450]
2 years ago
12

A social security number consists of nine digits in a particular​ order, and repetition of digits is allowed. after seeing the l

ast four digits printed on a​ receipt, if you randomly select the other​ digits, what is the probability of getting the correct social security number of the person who was given the​ receipt?
what is the formula?
Mathematics
1 answer:
OleMash [197]2 years ago
6 0
You have to guess the first 5 digits.

You can calcualte the number of possible numbers that exist with 5 digits.

The first digit cannot be 0, it can be any from 1 to 9, so those are 9 diferent digits.

For the second, third, fourth and fifth digits there are 10 diferent posibilities for each: 0 through 9.

Then, there are 9*10*10*10*10 = 90,000 different possible social security numbers once the last four digits are known.

And the probability to get the correct social security number of the person is 1 /90,000 = 0,000011.
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Stan's cookie recipe makes 242424 cookies and calls for exactly 384384384 sprinkles. He is wondering how many sprinkles (p)(p)le
arlik [135]
If these numbers are correct:

For every 242,424 cookies he needs 384,384,384 sprinkles. So how many sprinkles does he need for 606,060 cookies?

242,424/384,384,384 = 606,060/x

384,384,384 * 606,060 = 242,424 * x

232,959,999,767,040 = 242,424 * x

960,960,960 = x
7 0
2 years ago
Which congruence theorem can be used to prove △BDA ≅ △DBC? Triangles B D A and D B C share side D B. Angles C B D and A D B are
Tomtit [17]

Answer:

A. Hypotenuse-leg (HL) congruence.

HL, when you have 2 right triangles and their hypotenuses are congruent you are able to say HL

Step-by-step explanation:

We know that the hypotenuse-leg theorem states that if the hypotenuse and one leg of a right triangle are congruent to hypotenuse and corresponding leg of another right triangle, then the triangles are congruent.  

hypotenuse(AB) of △BDA equals to hypotenuse (CD) of △DBC.  

BDA and DBC share a common side DB.

Using Pythagorean theorem we will get,

CD^{2}=DB^{2}+BC^{2}...(1)  \\\\AB^{2}=DB^{2}+AD^{2}...(2)

We have been given that CD=AB, Upon using this information we will get,

DB^{2}+BC^{2}=DB^{2}+AD^{2}

Upon subtracting DB^{2} from both sides of our equation we will get,

BC^{2}=AD^{2}\\\\BC=AD

<h3>Therefore, by HL congruence △BDA ≅ △DBC.</h3>
6 0
2 years ago
Read 2 more answers
Chevy has some yarn that he wants to use to make hats and scarves. Each hat uses 0.2 kilograms of yarn a
professor190 [17]

Answer:

h + s = 15

2h + s = 20

Step-by-step explanation:

Let the number of hats Chevy made = h

Let the number of scarves made by Chevy = s

From the statement of the question, " Chevy made a total number of 15 items"

Equation will be  h + s = 15

Amount of yarn used to make one hat = 0.2 kilograms

So amount of yarn used to make "h"hats = 0.2h kilograms

Similarly Amount of yarn used to make one scarf = 0.1 kilograms

So amount of yarn used to make "h" scarves = 0.1s kilograms

Another statement states " Chevy wants to use 2 kilograms of yarn to make these items".

Equation for this statement will be,

0.2h + 0.1s = 2

OR 2h + s = 20 [By multiplying the equation by 10]

Therefore, system of the equations will be

h + s = 15

2h + s = 20

8 0
2 years ago
On circle OOO below, the measure of \stackrel{\LARGE{\frown}}{FJ} FJ ⌢ F, J, start superscript, \frown, end superscript is 84^\c
lianna [129]

Answer:

100°

Step-by-step explanation:

The angle between chords is the average of the intersected arc angles.

∠FKJ = ½ (84° + 76°)

∠FKJ = 80°

∠HKJ is supplementary to ∠FKJ.

∠HKJ = 180° − 80°

∠HKJ = 100°

7 0
2 years ago
Transversal t cuts parallel lines a and b as shown in the diagram. Which equation is necessarily true?. a) m&lt;1=m&lt;2. b)m&lt
e-lub [12.9K]
M<1≠m<2
m<4≠m<6
m<3 + m<5 = 180° ≠ 90°
m<7≠m<8
Answer:
none of them.
7 0
2 years ago
Read 2 more answers
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