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s344n2d4d5 [400]
3 years ago
14

Sarah cannot completely remember her four-digit ATM pin number. She does remember the first two digits, and she knows that each

of the last two digits is greater than 5. The ATM will allow her three tries before it blocks further access. If she randomly guesses the last two digits, what is the probability she will get access to her account
Mathematics
1 answer:
OLga [1]3 years ago
4 0

Answer:

3/16 or 0.1875

Step-by-step explanation:

Since she remembers the first two digits, she only has to guess the last two digits. If both digits are greater than 5, there are 4 possible alternatives for each digit (6, 7, 8 or 9).

In three tries, the probability that she will get it right is:

P=\frac{3}{4*4}\\P=\frac{3}{16}=0.1875

The probability she will get access to her account is 3/16 or 0.1875.

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10 x 10 - 4 divided by 7
TEA [102]

Answer:

13.7142857143

Step-by-step explanation:

If you need to round then do so, or i will comment the rounded version if needed.

3 0
3 years ago
The length of a rectangle is 4x + 5 and the width is 8x - 4. what is the perimtleter?
Luda [366]
Hi there!

Since the formula for finding the perimeter of a rectangle is length×2 + width × 2, we can follow this rule.

2 (4x + 5) + 2 (8x - 4)
= 8x + 10 + 16x - 8
= 24x + 2

So, the perimeter is 24x + 2.

Hope this helps!
5 0
3 years ago
Kelly is three years younger than her sister. The sum of their ages is 34 years. How old is Kelly and how old is her sister?
Kazeer [188]

Answer:

Kelly is 20

Her sister is 14

Step-by-step explanation:

34 ÷ 2 = 17 (average)

17 + 3 = <u>20</u>

17 - 3 = <u>14</u>

4 0
3 years ago
Which is the equation of the parabola?
dimaraw [331]

Answer: y = one sixteenth(x − 4)^2 + 2

Step-by-step explanation:

If the parabola is written as:

y = a*x^2 + b*x + c

then if the graph opens up, then a must be positive, so we can discard the third and fourth options, we remain with:

y = 1/6*(x - 4)^2 + 2 = 1/6x^2 - (8/6)*x + (16/6 + 2)

y =  1/6*(x + 4)^2 - 2  =  1/6x^2 + (8/6)*x + (16/6 - 2)

the vertex (4, 2)

then

x = -b/2a = 4.

this means that a and b must be of different sign, then the only correct option can be:

y = 1/6*(x - 4)^2 + 2 = 1/6x^2 - (8/6)*x + (16/6 + 2)

where:

x-vertex  = (8/6)/(2/6) = 4 as we wanted.

when we evaluate this function in x = 4 we get

y = 1/6*( 4 - 4)^2 + 2 = 2.

So the correct option must be: y = one sixteenth(x − 4)2 + 2

6 0
3 years ago
What percent of 80 is 34
Yuri [45]
To find the percentage, you can multiply (34/80) by (100/1) to obtain the percentage. (This applies for all fractions)

In this case, you will get 3400/80 = 42.5%

Hope this helps!
7 0
3 years ago
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