How do you solve ∣∣x∣∣-8 < -4

Answers

Answer 1

Answer: $||x||-8 < -4\n|x|< 4\nx<4 \wedge x>-4\nx\in(-4,4)$

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Let $ A $ and $ B $ be events with $ P(A)=1 / 3 $ and $ P(B)=2 / 3 $. Let $ N $ be the number of events from among $ A $ and $ B $ that occur. (For instance, if $ A $ occurs but $ B $ does not, then $ N=1 $.) Suppose that the occurrence of events in $ A $ and $ B $ are independent. Find, for example, the probability that no events occur.

Answers

Answer:

( 2/9 )

Step-by-step explanation:

Okay, so since the events A and B are independent, the probability that both of them do not occur is the product of their individual probabilities of not occurring.

The probability of event A not occurring, denoted as ( P(A') ), is equal to 1 minus the probability of A occurring. Similarly, the probability of event B not occurring, denoted as ( P(B') ), is equal to 1 minus the probability of B occurring.

So, ( P(A') = 1 - P(A) = 1 - 1/3 = 2/3 ) and ( P(B') = 1 - P(B) = 1 - 2/3 = 1/3 ).

Since A and B are independent, the probability that both A and B do not occur is simply the product of their individual probabilities of not occurring:

[ P(N = 0) = P(A' cap B') = P(A')P(B') = (2/3) times (1/3) = 2/9 ]

So, the probability that no events occur is ( 2/9 ).

Hope this helps! :)

Which is a recursive formula for the sequence 99.4, 0, –99.4, –198.8, where f(1) = 99.4?

Answers

f(x)= -99.4x + 198.8

f(1) = -99.4*1 + 198.8 = 99.4

f(2) = -99.4*2 + 198.8 = 0

f(3) = -99.4*3 + 198.8 = -99.4

f(4) = -99.4*4 + 198.8 = -198.8

Answer:

Which is a recursive formula for the sequence 99.4, 0, –99.4, –198.8, where f(1) = 99.4?

The answer will be : f(n + 1) = f(n) – 99.4, n ≥ 1

The health care Jimmy’s employer offers is a fee-for-service plan in which Jimmy and his family must pay for $12,500 in health related services in a calendar year before the insurance company begins to pay. Jimmy and his family have several health related issues that demand $685.00 each month. If one of Jimmy’s children were to become seriously injured at the end of the year, how much more would Jimmy and his family need to pay before the insurance company begins to assume responsibility?a.
$984.58
b.
$4,280.00
c.
$11,815.00
d.
$14,417.92

Answers

The answer is Letter B - $4,280.00.

Total the amount they could incur because of health issues in a year then deduct it from 12,500.

= 685 x 12 months
= 8,220; they incur $8,220 for their health related issues in a year

= 12,500 - 8,220
= 4,280; amount they need to pay before the insurance company assumes responsibility.

What is the ratio of beaks to wings in a flock of birds

Answers

Answer:

The ratio of beaks to wings in a flock of birds is 1:2.

Step-by-step explanation:

Consider the provided information.

Beaks are the hand and pointed structure that sticks out from a bird's face.

The number of beaks of a bird is one and the number of wings is two.

We need to find the ratio of beaks to wings in a flock of birds

$(beaks)/(wings) =(1)/(2)$

Thus the ratio of beaks to wings in a flock of birds is 1:2.

This shows that there's one beak for each pair of wings.

the ratio of beaks to wings in a flock of birds is 1:2

You have 1 case of soap bars and there are 150 bars in a case. You use 300 bars of soap per day. How many cases do you need to order to have enough for 7 days?* 11 12 13 14

Answers

You first multiply 7*150 and that is 2100 bars of soaps you need to last 7 days. If there is 150 bars in each case you divide 2100 by 150 and you get 14?. You are using 14 cases for 7 day.

Calculate the discriminant.

x2 + 2x – 2 = 0

Answers

$x^2 + 2x - 2 = 0 \n \n a=1 , \ b=2 , \ c= -2\n \n \Delta = b^(2)-4ac = 2^(2)-4*1* (-2)= 4+8=12 \n \n√(\Delta )=\1{12}= √(4*3)=2√(3)\n \nx_(1)=(-b-√(\Delta ))/(2a) =(-2-2√(3))/(2)=(2(-1-√(3)))/(2) =-1-√(3) \n \nx_(2)=(-b+√(\Delta ))/(2a) =(-2+2√(3))/(2)=(2(-1+√(3)))/(2) =-1+√(3)$

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