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Alexandra [31]
3 years ago
6

A locker combination contains four digits. Each digit can be from 0 through 9. What is the probability that a 4-digit combinatio

n chosen at random is made up of 4 digits that are all greater than 6 if each digit can be repeated? 1. Find the total number of possible outcomes. 1. (10)(10)(10)(10) 2. Find the number of favorable outcomes. 2. (3)(3)(3)(3) 3. Use the formula 3. P (event) = Number of favorable outcomes Number of possible outcomes
Mathematics
2 answers:
Shalnov [3]3 years ago
8 0

Answer:

The answer is 81/10.000 one Edge

Step-by-step explanation:

Did the test :)

Hope this helps!!!

konstantin123 [22]3 years ago
4 0

Answer:  .81%

<u>Step-by-step explanation:</u>

Since each digit has to be greater than 6, that leaves only 7, 8, & 9 as successful digits.

Probability = \dfrac{successful}{total\ possible}=\dfrac{3\times 3\times 3\times 3}{10\times 10\times 10\times 10}=\dfrac{81}{10,000}=.0081=.81\%

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Find the value of y.​
Bess [88]

Answer:

=6√3 the third option.

Step-by-step explanation:

We can use the Pythagoras theorem to find the value of y. We need two equations that include y.

a²+b²=c²

c=9+3=12

x²+y²=12²

x²=144 - y².........i (This is the first equation)

We can also express it in another way but let us find the perpendicular dropped to c.

perpendicular²= x²-3²=x²-9 according to the Pythagoras theorem.

y²=(x²-9)+9²

y²=x²+72

x²=y²-72....ii( this is the second equation

Let us equate the two.

y²-72=144-y²

2y²=144+72

2y²=216

y²=108

y=√108

In Surd form √108=√(36×3)=6√3

y=6√3

8 0
3 years ago
Find the area of the region bounded by the line y=3x-6 and line y=-2x+8.
Vikentia [17]

Answer:

A = 12/5 units

Step-by-step explanation:

USING ALGEBRA:

We can find the intersection point between these two lines;

y = 3x - 6

y = -2x + 8

Set these two equations equal to each other.

3x - 6 = -2x + 8

Add 2x to both sides of the equation.

5x - 6 = 8

Add 6 to both sides of the equation.

5x = 14

Divide both sides of the equation by 5.

x = 14/5  

Find the y-value where these points intersect by plugging this x-value back into either equation.

y = 3(14/5) - 6

Multiply and simplify.

y = 42/5 - 6

Multiply 6 by (5/5) to get common denominators.

y = 42/5 - 30/5  

Subtract and simplify.

y = 12/5

These two lines intersect at the point 12/5. This is the height of the triangle formed by these two lines and the x-axis.

Now let's find the roots of these equations (where they touch the x-axis) so we can determine the base of the triangle.

Set both equations equal to 0.

(I) 0 = 3x - 6  

Add 6 both sides of the equation.

6 = 3x

Divide both sides of the equation by 3.

x = 2  

Set the second equation equal to 0.

(II) 0 = -2x + 8

Add 2x to both sides of the equation.

2x = 8

Divide both sides of the equation by 2.

x = 4

The base of the triangle is from (2,0) to (4,0), making it a length of 2 units.

The height of the triangle is 12/5 units.

Formula for the Area of a Triangle:

A = 1/2bh

Substitute 2 for b and 14/5 for h.

A = (1/2) · (2) · (12/5)

Multiply and simplify.

A = 12/5

The area of the region bounded by the lines y = 3x - 6 and y = -2x + 8 between the x-axis is 12/5 units.

3 0
2 years ago
Lori buys a $400 certificate deposit that earns 1.8% interest compounded monthly how much will a cd be worth in six years
Firlakuza [10]

Answer:

$1445.11

Step-by-step explanation:

The formula to use would be:

F=P(1+r)^t

Where

F is the future amount (what we want to find)

P is the present (principal) amount (this is 400)

r is the rate of interest, monthly (1.8% or 0.018)

t is the time in months (6 years = 6 * 12 = 72)

Now substituting, we get:

F=P(1+r)^t\\F=400(1+0.018)^{72}\\F = 400(1.018)^{72}\\F=1445.11

After 6 years, the CD will be worth $1445.11

8 0
3 years ago
What is the length of the apothem of a regular hexagon with 10-cm sides?
vodka [1.7K]

Answer:

The length of apothem of given hexagon is 8.66 cm

Step-by-step explanation:

Apothem of a polygon is given by:

apothem = \frac{s}{2\ tan\ (\frac{180}{n})}

Here

s is length of side

tan is trigonometric function

and n denotes number of sides

Given that the polygon is a hexagon

s = 10cm\\n = 6

Putting the values in the formula

apothem = \frac{10}{2\ tan\ (\frac{180}{6})}\\= \frac{10}{2\ tan\ 30}\\=\frac{10}{2 * 0.5773}\\=\frac{10}{1.1546}\\=8.6610\\Rounding\ off\ to\ nearest\ hundredth\\= 8.66\ cm

Hence,

The length of apothem of given hexagon is 8.66 cm

6 0
3 years ago
Please help with these ones okay
bija089 [108]

Answer:

D, I don't know, and 1 + 3

Step-by-step explanation:

D I'm not 100% sure on, 2 I have no clue, and the third is just swapping the signs because you are flipping over the axis. I hope I could help you!

6 0
3 years ago
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