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elena-14-01-66 [18.8K]
2 years ago
5

5. Find the measures of the numbered angles.​6. Find the valuses of x and y.

Mathematics
1 answer:
DiKsa [7]2 years ago
3 0

Answer:

5)

<2 = 79°

<1 = 101°

<3 = 101°

6)

x = 5

y = 3

Step-by-step explanation:

5)

<2 = 79°

<1 = <3 = 180 - 79 = 101°

6)

4y - 6 = 2y

2y = 6

y = 3

2x + 4 = x + 9

x = 5

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<span>Solve the system

9x = 27-9y
20x=71-9y

Let's use the "elimination through addition/subtraction method.
Multiply the first equation by -1 so as to obtain +9y:

-9x = -27 + 9y
</span><span>20x=  71-   9y
--------------------

Add these 2 equations together:

</span>-9x = -27 + 9y
20x=  71-   9y
--------------------
<span> 11x = 44

Solve this for x:  x = 44/11 = 4.

Now find y by subst. 4 for x in either of the original equations.

Using the second equation:    </span><span> 

</span>20x=71-9y
20(4) = 71 - 9y
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Does the lateral area in a prism include the base?
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Read 2 more answers
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
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