Answer:
Okay, So neither a spade nor a jack.
Total no. of cards in adeck =52
Number of spades =13
Total number of non-spades out of 52 cards =52−13=39
Number of jack out of 52 cards =4
Number of jack in each of three suits namely hearts, diamonds and clubs = 3
[Since, 1 jack is already included in the 13 spades so, here we will take number of jacks is 3 ]
Neither a spade nor a jack =39−3=36 cards in total.
Therefore, probability of getting ‘neither a spade nor a jack’=
NumberoffavorableoutcomesTotalnumberofpossibleoutcome
=(362)/(522)
=630/1326=105/221
Step-by-step explanation:
I hoped i helped i might have put to much but there u go!!
<h3> <u>Prime Factorization </u><u>method:</u></h3>
Given that √2 = 1.414
The value of (1/2)√(16200)
16200 can be written as
16200 = 2×8100
16200 = 2×2×4050
16200 = 2×2×2×2025
16200 = 2×2×2×5×405
16200 = 2×2×2×5×5×81
16200 = 2×2×2×5×5×3×27
16200 = 2×2×2×5×5×3×3×9
16200 = 2×2×2×5×5×3×3×3×3
√16200 = √(2×2×2×5×5×3×3×3×3)
√16200 = √2×(2×2)×(5×5)×(3×3)×(3×3)
√16200 = 2×5×3×3√2
√16200 = 90√2
Now,
(1/2)√16200
⇛(1/2)×90√2
⇛90√2/2
⇛45√2
⇛45×1.414
⇛63.63
<u>Answer:</u><u> </u><u>Hence</u><u>,</u> value of (1/2)√(16200) is 63.63
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Answer:
The x-coordinate of the solution to this system of equations is <u>1</u>.
Step-by-step explanation:
Given,
We have to find out the x-coordinate of the equation.
Solution,
Let 
Again let 
Now using elimination method we will solve the equations.
For this we will add equation 1 and equation 2 and get;
Now on dividing both side by '9' we get;
Hence The x-coordinate of the solution to this system of equations is <u>1</u>.
Answer:
D No. as there are only 12 bolts longer than 1inch.
Mr. Slivka needs 16 bolts of greater than 1 measure, and there are only 12.
Step-by-step explanation:
We cannot include 1 inch data as this is not over 1 inch like the 1inch 2/8 and 1inch 4/8 etc. the greater measures of over 1 inch count to 12.
We know they are greater as they do not have a negative sign next to the added fraction of 1 2/8 or 1 4/8.
Answer:
[A] 18
Explanation:
[I'm assuming you want us to find the measure of ∠ABC]
∠ABC is a right angle, meaning ∠ABD and ∠DBC added together must equal 90°
2x° + 3x° = 90
2x + 3x = 5x
5x = 90
5x / 5 = 90 / 5
x = 18
