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victus00 [196]
3 years ago
14

Marianne collects coffee mugs from places she visits when she goes on vacation. She displays her 87 coffee mugs over her cabinet

s in her kitchen, including 8 mugs from Texas, 4 from Georgia, 4 from SC and 8 from California. If one of the coffee mugs accidentally falls to the ground and breaks, what is the probability that it is a California coffee mug?
A. 8/87
B. 4/87
C. 4/39
D. 1/13
Mathematics
1 answer:
lozanna [386]3 years ago
4 0
So the probability of it being California a
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A briefcase has a three- digit lock code that doesn't include zero as a digit. What is the probability that the lock code consis
storchak [24]

Answer:

1/21.

Step-by-step explanation:

There are 9 digits and the total number of permutations of 3 from 9 is 9P3

= 9!/6!  = 504.

There are 4 even digits so the number of permutations of 3 from these 4 is 4!  (4-3)!  = 4*3*2 = 24.

So the required probability =  24/504

= 1/21.

5 0
3 years ago
0.002 is 1/100of what decimal?
sp2606 [1]
Let, the decimal = x
It would be: x * 1/100 = 0.002
x = 0.002 * 100
x = 0.2

In short, Your Answer would be 0.2

Hope this helps!
6 0
3 years ago
A square has side length of 9 in. If the area is doubled, what happens to the side length?
Alika [10]

Answer:

The side length is multiplied by \sqrt{2}

Step-by-step explanation:

we know that

The area of the original square is equal to

A=9^{2}=81\ in^{2}

If the area is doubled

then

The area of the larger square is

A1=(2)81=162\ in^{2}

Remember that

If two figures are similar, then the ratio of its areas is equal to the scale factor squared

Let

z ----> the scale factor

x ----> the area of the larger square

y ---> the area of the original square

so

z^{2}=\frac{x}{y}

we have

x=162\ in\^{2}

y=81\ in\^{2}

z^{2}=\frac{162}{81}

z^{2}=2

z=\sqrt{2} ------> scale factor

therefore

The side length is multiplied by \sqrt{2}

7 0
2 years ago
Which is not equivalent to the rest 13/20 66% 195/300 0.6500
Ganezh [65]
Hey there! :)

Let's change all the fractions and percents to decimal.
_____________________________________________________________

When changing fractions to decimal, divide the numerator by the denominator
When changing percents to decimal, remove the % sign and move the decimal to places to the left.
_____________________________________________________________

13 ÷ 20 = 0.65
66% = 0.66
195 ÷ 300 = 0.65
0.6500 = 0.65
_____________________________________________________________

The answer is 66% because it is the only one that isn't equivalent to 0.65

Hope this helps :)
8 0
2 years ago
How to solve rational equations
VashaNatasha [74]

Answer:

A rational number is a number that can be represented a/b where a and b are integers and b is not equal to 0.

   Find the common denominator.

   Multiply everything by the common denominator.

   Simplify.

   Check the answer(s) to make sure there isn't an extraneous solution.

4 0
3 years ago
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