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m_a_m_a [10]
2 years ago
6

Solve: -3x = 15 you can get the brainiest

Mathematics
1 answer:
kaheart [24]2 years ago
4 0
If you times -3 by -5 the negatives cancel eachother and therefore you get 15.
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The total claim amount for a health insurance policy follows a distribution with density function 1 ( /1000) ( ) 1000 x fx e− =
gizmo_the_mogwai [7]

Answer:

the approximate probability that the insurance company will have claims exceeding the premiums collected is \mathbf{P(X>1100n) = 0.158655}

Step-by-step explanation:

The probability of the density function of the total claim amount for the health insurance policy  is given as :

f_x(x)  = \dfrac{1}{1000}e^{\frac{-x}{1000}}, \ x> 0

Thus, the expected  total claim amount \mu =  1000

The variance of the total claim amount \sigma ^2  = 1000^2

However; the premium for the policy is set at the expected total claim amount plus 100. i.e (1000+100) = 1100

To determine the approximate probability that the insurance company will have claims exceeding the premiums collected if 100 policies are sold; we have :

P(X > 1100 n )

where n = numbers of premium sold

P (X> 1100n) = P (\dfrac{X - n \mu}{\sqrt{n \sigma ^2 }}> \dfrac{1100n - n \mu }{\sqrt{n \sigma^2}})

P(X>1100n) = P(Z> \dfrac{\sqrt{n}(1100-1000}{1000})

P(X>1100n) = P(Z> \dfrac{10*100}{1000})

P(X>1100n) = P(Z> 1) \\ \\ P(X>1100n) = 1-P ( Z \leq 1) \\ \\ P(X>1100n) =1- 0.841345

\mathbf{P(X>1100n) = 0.158655}

Therefore: the approximate probability that the insurance company will have claims exceeding the premiums collected is \mathbf{P(X>1100n) = 0.158655}

4 0
2 years ago
Substitute x = 5 into the expression (-2)x + 6. Do you get -4? Substitute x = -1 into the expression (-2)x + 6. Do you get - 4 W
8090 [49]

Answer:The first method, by substituting  5 into the expression   (-2)x + 6 gives the coreect answer of   -4

Step-by-step explanation:

Ist method

Substituting  x = 5 into the expression   (-2)x + 6,  we have

 (-2) 5 + 6,

=-10 + 6

=-4

2nd method

Substitute x = -1 into the expression (-2)x + 6,we have

(-2)(-1) + 6

2  +6=10

The first method, by substituting  5 into the expression   (-2)x + 6 gives the coreect answer of   -4

7 0
2 years ago
What is the value of 4 + 5x when x = 3?
Schach [20]

Answer:

19

Step-by-step explanation:

5 times 3 is 14 plus 4 is 19

6 0
3 years ago
Read 2 more answers
Which of these is equivalent to -x &lt; 8?:<br> x &lt; 8<br> x &lt; -8<br> x &gt; 8<br> x &gt; -8
adell [148]

Answer:

x>-8

Step-by-step explanation:

multiply both sides with -1

6 0
3 years ago
Read 2 more answers
A skateboard that sells for $65 is on sale for 15% off. Find the sale price. 16.25 Correct Answer: Great job! Question 3 (multip
bezimeni [28]
So you can multiply 65 by 15% or .15 and get 9.75

Subtract that from 65 and get $55.25 as the sales price
5 0
3 years ago
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