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Sergio [31]
2 years ago
5

Find the component form for vector AB given the initial point A (1, 7, -9) and terminal point B (-2, 18, 4).

Mathematics
1 answer:
Tanzania [10]2 years ago
5 0

To find each of the components of AB we can find the different between the components on the terminal and initial points, doing that, we find:

AB = (-2 - 1, 18 -7, 4 - (-9)) = (-3, 11, 13).

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Write an addition sentence that helps you solve 15-9.​
Lemur [1.5K]

Answer:

I have 15 cookies and my brother ate 9 now I have 6 cookies.

8 0
2 years ago
A company establishes a fund of 120 from which it wants to pay an amount,C, to any of its 20 employees who achieve a high-perfor
Leno4ka [110]

Answer:

C=120/2=60

Step by step Explanation'

To solve this problem, we will need to apply trial-and-error calculation with the binomial distribution, even though it appears like Central Limit Theorem but it's not.

For us to know the value of C , we will look for a minimum integer such that having 'n' number of high performance level of employee has the probability below 0.01.

Determine the maximum value of C, then the maximum value that C can have is 120/n

Let us represent X as the number of employees with high performance with a binomial distribution of

P =0.02( since the percentage of chance of achieving a high performance level is 2%)

n = 20 ( number of employees who achieve a high performance level)

The probability of X= 0 can be calculated

P( X= 0) = 0.98^n

P(X=0)=0.98^20

P(X=0)=0.668

P(X=1)=0.02*20*0.98^19

P(X=1)=0.272

P(X=2)=0.02^2*20*0.98^18

P(X=2)=0.053

Summation of P( X= 0)+ P( X= 1)+P( X= 2) will give us the value of 0.993 which is greater than 0.99( 1% that the fund will be inadequate to cover all payments for high performance.)

BUT the summation of P( X= 0)+ P( X= 1) will give the value of 0.94 which doesn't exceed the 0.99 value,

Therefore, the minimum value of integer in such a way that P(X >2) is less than 0.01 have n= 2

then the maximum value that C can have is 120/n

C=120/2=60

7 0
3 years ago
You offer senior citizens a 20% discount on their tune-ups at your gas station. Assuming that an average of 50 senior citizens g
GREYUIT [131]
X over 49.5 and 20 over 100 then you cross multiply and you get 100x is equal to 990 you divide 100x and 990 both by 100 and get x and 9.9 then you have 50 seniors a month that you give the discount to so you multiply 9.9 by 50 and get 495 so the total discount you give on an average monthly basis is $495.00 Hope this helped
7 0
3 years ago
25 points plz help what would it mean if the interquartile range was very small and if it was very large
zzz [600]

Answer:

I'll explain below

Step-by-step explanation:

Itmf it were to be large and small at the same time, it should be 0.

It can't be large and small at the same time.

If u want to study more about this, ask me through the comments.

I hope this helps u.

7 0
2 years ago
Local hamburger market are (as percentages of all hamburgers sold): 23 percent, 22 percent, 18 percent, 12 percent, 11 percent,
Tamiku [17]
The top 4 firms have (23 +22 +18 +12)% = 75% of the market.

The 4-firm concentration ratio is 0.75 or 75%.
3 0
3 years ago
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