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Likurg_2 [28]
3 years ago
8

Help!!!! fast!!!!!!!!!!!​

Mathematics
2 answers:
Oksana_A [137]3 years ago
8 0

The answer would be C

Olenka [21]3 years ago
7 0

Answer:

3,150 cm^2

Step-by-step explanation:

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A certain company sends 40% of its overnight mail parcels by means of express mail service A1. Of these parcels, 4% arrive after
Harrizon [31]

Answer:

(a) The probability that a randomly selected parcel arrived late is 0.026.

(b) The probability that a parcel was late was being shipped through the overnight mail service A₁ is 0.615.

(c) The probability that a parcel was late was being shipped through the overnight mail service A₂ is 0.192.

(d) The probability that a parcel was late was being shipped through the overnight mail service A₃ is 0.192.

Step-by-step explanation:

Consider the tree diagram below.

(a)

The law of total probability sates that: P(A)=P(A|B)P(B)+P(A|B')P(B')

Use the law of total probability to determine the probability of a parcel being late.

P(L)=P(L|A_{1})P(A_{1})+P(L|A_{2})P(A_{2})+P(L|A_{3})P(A_{3})\\=(0.04\times0.40)+(0.01\times0.50)+(0.05\times0.10)\\=0.026

Thus, the probability that a randomly selected parcel arrived late is 0.026.

(b)

The conditional probability of an event A provided that another event B has already occurred is:

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

Compute the probability that a parcel was late was being shipped through the overnight mail service A₁ as follows:

P(A_{1}|L)=\frac{P(L|A_{1})P(A_{1})}{P(L)} \\=\frac{0.04\times 0.40}{0.026} \\=0.615

Thus, the probability that a parcel was late was being shipped through the overnight mail service A₁ is 0.615.

(c)

Compute the probability that a parcel was late was being shipped through the overnight mail service A₂ as follows:

P(A_{2}|L)=\frac{P(L|A_{2})P(A_{2})}{P(L)} \\=\frac{0.01\times 0.50}{0.026} \\=0.192

Thus, the probability that a parcel was late was being shipped through the overnight mail service A₂ is 0.192.

(d)

Compute the probability that a parcel was late was being shipped through the overnight mail service A₂ as follows:

P(A_{3}|L)=\frac{P(L|A_{3})P(A_{3})}{P(L)} \\=\frac{0.05\times 0.10}{0.026} \\=0.192

Thus, the probability that a parcel was late was being shipped through the overnight mail service A₃ is 0.192.

4 0
3 years ago
Your job at in chemical plant needs a 15% acid solution immediately
Naddik [55]

Answer:

Step-by-step explanation:j

6 0
3 years ago
Please help, love you
ExtremeBDS [4]

Answer:

162

Step-by-step explanation:

Note that you can split the given shape into a triangle and a rectangle.

Area of rectangle = base x height

base = 12

height = 9

Plug in the corresponding numbers into the corresponding variables:

Area of rectangle = 12 x 9

                             = 108

Area of triangle = (base x height)/2

base = 12

height = 9

Area of triangle = (12 x 9)/2

                          = (108)/2

                          = 54

Next, add the two areas together to get the full area:

108 + 54 = 162

162 is your answer.

~

5 0
2 years ago
Translate this phrase into an algebraic expression 23 more than twice a number use the variable n to represent the unknown numbe
Anna71 [15]

In general, 23 more than a number is written as

x+23

In our case, x is 'twice a number'; thus,

x=2*n=2n

Finally, the whole expression is

2n+23<h2>The answer is 2n+23</h2>

5 0
1 year ago
Venita is factoring the expression 32ab-8b. She determines the GCF and writes the factored expression as 8b(4a-0). Which best de
Nimfa-mama [501]
Let's go through the steps of factoring that Venita should take.

1.) Find the greatest common factor (GCF). We only have two terms, so that makes it pretty easy.
32 = 1, 2, 4, 8, 16, 32
8 = 1, 2, 4, 8
The greatest common factor of 32 and 8 is 8. We can also factor out a <em>b</em> since that term appears in each part of the original expression. The GCF and variable should go on the outside of the parentheses.
8b(       )

2.) Now let's figure out what should go in the middle of the parentheses. To do this, use the original expression and divide each term. This is written in the parentheses. 

32ab ÷ 8b = 4a
8b ÷ 8b = 1

This would then result in the factored expression 8b(4a - 1). You can always check this by using the distributive property. Distribute 8b out to both expressions:
8b x 4a = 32ab
8b x 1 = 8b
32ab - 8b is the expression she started with, so your factored expression works!

Now that we went through the steps to solve the factored expression, let's check her answer. The only difference between Venita's and ours is that she has 0 as the second term while we have a 1. It seems that she had subtracted the GCF from the second term instead of dividing.
6 0
3 years ago
Read 2 more answers
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