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bazaltina [42]
3 years ago
7

There is a lock with 5 buttons numbered from 1 to 5. The combination that opens this lock can be set to any sequence of buttons

with the length between 1 and √43, inclusive. The order in which the buttons are pressed does not matter. How many ways can the lock combination be set?
Mathematics
1 answer:
Fittoniya [83]3 years ago
7 0

Answer:

Answer Counterclockwise rotation about the origin by 180 degrees followed by reflection about the y-axis explanation the given figure has vertices p(1,2),q(2,1),r(3,2),s(3,3)recall that for counterclockwise rotation about the origin, (x,y)\rightarrow (-x,-y)when we rotate figure pqrs counterclockwise through an angle of 180° about the origin, the coordinates will become p1( - 1, - 2),q1( - 2, - 1),r1( - 3, - 2),s1( - 3, - 3)next, we reflect in the y-axis by negating the x-coordinates of the resulting figure to obtain,p'(1, - 2),q'(2, - 1),r'(3, - 2),s'(3, - 3)

Step-by-step explanation:

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a closed cardboard box is a cuboid with a base of 63cm by 25cm.the box is 30 cm heigh, calculate the total surface area of the b
andrew11 [14]

Answer:

8430cm²

Step-by-step explanation:

=2(63 x 30) + 2(25 x 30) + 2(63 x 25)

= 3780 + 1500 + 3150

= 8430 cm²

7 0
3 years ago
HELP MEEEEEEEEEEEEEEEEEEEEE PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
kap26 [50]

<u>Part a</u>

Setting x=6, y=7.9(1.02)^6 \approx \boxed{8.9}

<u>Part b</u>

Setting x=14, y=7.9(1.02)^{14} \approx \boxed{10.4}

7 0
1 year ago
The diameters of ball bearings are distributed normally. The mean diameter is 107 millimeters and the population standard deviat
tensa zangetsu [6.8K]

Answer:

0.6710

Step-by-step explanation:

The diameters of ball bearings are distributed normally. The mean diameter is 107 millimeters and the population standard deviation is 5 millimeters.

Find the probability that the diameter of a selected bearing is between 104 and 115 millimeters. Round your answer to four decimal places.

We solve using z score formula

z = (x-μ)/σ, where

x is the raw score

μ is the population mean = 107 mm

σ is the population standard deviation = 5 mm

For x = 104 mm

z = 104 - 107/5

z = -0.6

Probability value from Z-Table:

P(x = 104) = 0.27425

For x = 115 mm

z = 115 - 107/5

z = 1.6

Probability value from Z-Table:

P(x = 115) = 0.9452

The probability that the diameter of a selected bearing is between 104 and 115 millimeters is calculated as:

P(x = 115) - P(x = 104)

0.9452 - 0.27425

= 0.67095

Approximately = 0.6710

8 0
3 years ago
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
nikitadnepr [17]

Answer:

The answer should be 45

Step-by-step explanation:

To get the whole are you would have to multiply the lenght with the Width and then take that answer and multiply it with the height

<u>BUT</u>

because you want the surface area, it would be just the lenght and width

15x3=45

so 45 is your answer.

7 0
3 years ago
Which graph represents —3x+ 5y &lt; 15?
Svetllana [295]
The top graph
hope this help
8 0
3 years ago
Read 2 more answers
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