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MakcuM [25]
3 years ago
6

How do I solve for X if I have something like this?(x+2)(1-x)= -4

Mathematics
1 answer:
lakkis [162]3 years ago
3 0

(x+2)(1-x)=-4

subtract 2 from both sides: x(1-x)=2

simplify:x-2x=2

subtract: -x=2

switch the negatives

x=-2

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A certain company sends 35% of its overnight mail parcels via express delivery service 1 and the rest by express delivery servic
sineoko [7]

Answer:

55.32% probability that a late package was delivered by express delivery service 2

Step-by-step explanation:

Bayes Theorem:

Two events, A and B.

P(B|A) = \frac{P(B)*P(A|B)}{P(A)}

In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.

In this question:

Event A: Late delivery.

Event B: Service 2 was used.

A certain company sends 35% of its overnight mail parcels via express delivery service 1 and the rest by express delivery service 2.

100 - 35 = 65%.

So P(B) = 0.65

Service 2 has a record of 2.0% of packages being delivered late.

This means that P(A|B) = 0.02

Probability of a late delivery.

35% from service 1. Of those, 3% are late.

65% from service 2. Of those, 2% are late.

So

P(A) = 0.35*0.03 + 0.65*0.02 = 0.0235

What is the probability that a late package was delivered by express delivery service 2

P(B|A) = \frac{0.65*0.02}{0.0235} = 0.5532

55.32% probability that a late package was delivered by express delivery service 2

5 0
3 years ago
IM HOMESCHOOLED AND I NEED SOME HELP WITH THIS QUESTION. ANYONE PLEASE HELP. my teacher won’t help me :(
gtnhenbr [62]

Answer:

GI = 18;   GE = 12; IE = 6

Step-by-step explanation:

The key to the question is to realize or find out what a centroid is and what it does. You can solve this question by knowing three things.

  1. The centroid is the meeting point of the three medians ( a median is a line that connects the midpoint of the side opposite a given vertex).
  2. The centroid divides the median in a ratio of 2:1. The longest segment is from the vertex to the centroid.
  3. The shortest segment is from the centroid to the midpoint of the side opposite the given vertex.

Point two is what you have to focus on.

GE/EI = 2/1

GE = 12                        Given

Solution

GE / EI = 2/1                 Substitute for the given    

12 / EI = 2/1                  Cross multiply

2*EI = 12 * 1                  Simplify the right

2 * EI = 12                     Divide by 2      

EI = 12/2                        Divide

Part Two

GI = EI + GE

GI = 6 + 12

GI = 18  

EI = 6

4 0
3 years ago
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