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Ostrovityanka [42]
3 years ago
7

If y = x + 5 and y = 11, then x = what?

Mathematics
2 answers:
Anestetic [448]3 years ago
5 0

Answer:

6

Step-by-step explanation:

Solnce55 [7]3 years ago
4 0

Answer:

x=6

Step-by-step explanation:

y(11)= x + 5

-5          -5

6= x  or x = 6

Hope this helps!!

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A square matrix A is said to be idempotent iff A2 = A. (i) Show that if A is idempotent, then so is I − A. (ii) Show that if A i
muminat

Answer:

Step-by-step explanation:

Given that A is a square matrix and A is idempotent

A^2 = A

Consider I-A

i) (I-A)^2 = (I-A).(I-A)\\= I^2 -2A.I+A^2\\= I-2A+A\\=I-A

It follows that I-A is also idempotent

ii) Consider the matrix 2A-I

(2A-I).(2A-I)=\\4A^2-4AI+I^2\\= 4A-4A+I\\=I

So it follows that 2A-I matrix is its own inverse.

7 0
3 years ago
Seventy percent of all vehicles examined at a certain emissions inspection station pass the inspection. Assuming that successive
LenaWriter [7]

Answer:

(a) The probability that all the next three vehicles inspected pass the inspection is 0.343.

(b) The probability that at least 1 of the next three vehicles inspected fail is 0.657.

(c) The probability that exactly 1 of the next three vehicles passes is 0.189.

(d) The probability that at most 1 of the next three vehicles passes is 0.216.

(e) The probability that all 3 vehicle passes given that at least 1 vehicle passes is 0.3525.

Step-by-step explanation:

Let <em>X</em> = number of vehicles that pass the inspection.

The probability of the random variable <em>X</em> is <em>P (X) = 0.70</em>.

(a)

Compute the probability that all the next three vehicles inspected pass the inspection as follows:

P (All 3 vehicles pass) = [P (X)]³

                                    =(0.70)^{3}\\=0.343

Thus, the probability that all the next three vehicles inspected pass the inspection is 0.343.

(b)

Compute the probability that at least 1 of the next three vehicles inspected fail as follows:

P (At least 1 of 3 fails) = 1 - P (All 3 vehicles pass)

                                   =1-0.343\\=0.657

Thus, the probability that at least 1 of the next three vehicles inspected fail is 0.657.

(c)

Compute the probability that exactly 1 of the next three vehicles passes as follows:

P (Exactly one) = P (1st vehicle or 2nd vehicle or 3 vehicle)

                         = P (Only 1st vehicle passes) + P (Only 2nd vehicle passes)

                              + P (Only 3rd vehicle passes)

                       =(0.70\times0.30\times0.30) + (0.30\times0.70\times0.30)+(0.30\times0.30\times0.70)\\=0.189

Thus, the probability that exactly 1 of the next three vehicles passes is 0.189.

(d)

Compute the probability that at most 1 of the next three vehicles passes as follows:

P (At most 1 vehicle passes) = P (Exactly 1 vehicles passes)

                                                       + P (0 vehicles passes)

                                              =0.189+(0.30\times0.30\times0.30)\\=0.216

Thus, the probability that at most 1 of the next three vehicles passes is 0.216.

(e)

Let <em>X</em> = all 3 vehicle passes and <em>Y</em> = at least 1 vehicle passes.

Compute the conditional probability that all 3 vehicle passes given that at least 1 vehicle passes as follows:

P(X|Y)=\frac{P(X\cap Y)}{P(Y)} =\frac{P(X)}{P(Y)} =\frac{(0.70)^{3}}{[1-(0.30)^{3}]} =0.3525

Thus, the probability that all 3 vehicle passes given that at least 1 vehicle passes is 0.3525.

7 0
3 years ago
1. To go bowling, it costs $2.00 to rent shoes and $3.50 per game. The function t(x) = 3.5x + 2 is used to find the total cost,
borishaifa [10]

Answer:

a. $5.5      b. $19.5

Step-by-step explanation:

t(x)=3.5x+2

x = amount of games

a. t(1)=3.5(1)+2

t(1)=3.5+2

t(1)=5.5

b. t(5)=3.5(5)+2

t(5)=17.5+2

t(5)=19.5

4 0
3 years ago
Jeffery and carrie deposit 800.00 into an savings account which earns 4%interest compounded quarterly they want to use the money
tekilochka [14]

Answer:

  • 866.29

Step-by-step explanation:

  • Deposit = 800
  • Interest rate = 4% compounded quarterly
  • Time = 2 years

<u>Number of compounds:</u>

  • 2 / 1/4 = 8

<u>Saving amount at the end of 2 years:</u>

  • 800*(1 + 0.04/4)^8 = 866.29
3 0
3 years ago
C=5/9(F-32) solving for f
Nina [5.8K]
Solve for f
by simplifying both sides of the equation, then isolating the variable.
f=32+9c / 5
5 0
3 years ago
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