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jarptica [38.1K]
3 years ago
5

Do i need to reverse the inequality symbol when i add the same positive number to or subtract the same positive number from both

sides of an inequality?
Mathematics
1 answer:
stira [4]3 years ago
6 0
No, You only reverse the inequality symbol when you divide by a negative number.
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use a compass to draw a circle and cut it out fold the circle three times as shown to get equal wedges unfold and shade one half
astra-53 [7]

Answer:

subject?

Step-by-step explanation:

5 0
3 years ago
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
The perimeter of a rectangular garden is 338 m.
Natasha_Volkova [10]

Answer:

l=95

Step-by-step explanation:

Perimeter is all the sides add up. So the equation if you know two of the sides, it should be: 338=(2*74)+(2*l)

5 0
3 years ago
Read 2 more answers
Write an equation in slope intercept form of a line with a slope of -3 that passes through the point (-5,4)
kap26 [50]

Answer:

y = -3x + 19

Step-by-step explanation:

Once you start graphing for this equation you will see that -5,4 is one of the points.

8 0
2 years ago
Evaluate each function at the given value <br> f(n) = n ^ 4 + 5n ^ 3 + 2n ^ 2 - 5n + 13 at n = - 2
DedPeter [7]

Answer:

  • 7

Step-by-step explanation:

<h3>Given</h3>
  • f(n) = n ^ 4 + 5n ^ 3 + 2n ^ 2 - 5n + 13
<h3>To find </h3>
  • f(-2)
<h3>Solution</h3>

<u>Substituting n with -2</u>

  • f(-2) =
  • (-2)^4 + 5(-2)^3 + 2(-2)^2 - 5(-2) + 13 =
  • 16 - 40 + 8 + 10 + 13 =
  • 7
3 0
3 years ago
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