Answer:
Step-by-step explanation:
7- 4!= 4*3*2*1=24
8- 10C3 = 10!/(3!*(10!-3!) = 120
9- 7 P3 =7!/(7-3)! = 210
Answer:
The surface area of square pyramid is 953.64 cm² .
Step-by-step explanation:
Given as for a square pyramid :
The height of pyramid = l = 15 cm
The base of square pyramid = x = 18 cm
Now,
The surface area of square Pyramid = 
or , The surface area of square Pyramid = 
Or, The surface area of square Pyramid = 
Or, The surface area of square Pyramid = 324 + 36 × 
or, The surface area of square Pyramid = 324 + 36 × 17.49
Or , The surface area of square Pyramid = 324 + 629.64 = 953.64 cm²
Hence The surface area of square pyramid is 953.64 cm² . Answer
Answer:
3x^2 + 3 --> 6, 15, 30, 51
2x^2 - 1 --> 1, 7, 17, 31
x^2 + 2 --> 3, 6, 11, 18
Step-by-step explanation:
Let's start with the first equation; 3x^2 + 3
Substitute 1 (the first digit in a sequence) for x.
3(1^2) + 3
3(1) + 3
3 + 3 = <u>6</u>
3(2^2) + 3 Then the second digit.
3(4) + 3
12 + 3 = <u>15</u>
Since the two numbers we have so far are 6 and 15, there is only one sequence this could match. 6, 15, 30, 51.
2(1^2) - 1
2(1) - 1
2 - 1 = <u>1</u>
This equation represents 1, 7, 17, 31.
These same steps apply to the other equation as well.
1^2 + 2, then 2^2 + 2, then 2^2 + 2, and so on. (But we don't need to do extra work to figure that out.)
Answer:
Mean: 61
Mode: None
Median: 70
Range: 24-99 = 75
Step-by-step explanation:
There is no mode since not one variable repeats.
How to find the mean: Add all the numbers then divide how many there are in this case there are 7.
Median is the number in the middle once put from greatest to largest and the range is min and max
Answer
Nigel need to work more than 20 hrs.
Step-by-step explanation:
Find the number of hours Nigel have to work
Let x be the number of hours
We know that Nigel earns 7.50$ per hour and hw need at least 150$
7.50x>150
7.50x / 7.50>150 / 7.50
x>20hrs
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