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iogann1982 [59]
3 years ago
15

Which linear function represents the table?

Mathematics
1 answer:
erica [24]3 years ago
8 0
The answer is d) -2x-7
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Part A: Write an algebraic expression for 6 more than 7 times a number. (5 points)
Harlamova29_29 [7]
Part A: 7n+6
Part B: By verbal do you mean like Three times N plus Eight ?
Comment on this answer and i can tell you

3 0
3 years ago
Read 2 more answers
A new security system needs to be evaluated in the airport. The probability of a person being a security hazard is 4%. At the ch
ivolga24 [154]

Answer:

(a) 0.9412

(b) 0.9996 ≈ 1

Step-by-step explanation:

Denote the events a follows:

P = a person passes the security system

H = a person is a security hazard

Given:

P (H) = 0.04,\ P(P^{c}|H^{c})=0.02\ and\ P(P|H)=0.01

Then,

P(H^{c})=1-P(H)=1-0.04=0.96\\P(P|H^{c})=1-P(P|H)=1-0.02=0.98\\

(a)

Compute the probability that a person passes the security system using the total probability rule as follows:

The total probability rule states that: P(A)=P(A|B)P(B)+P(A|B^{c})P(B^{c})

The value of P (P) is:

P(P)=P(P|H)P(H)+P(P|H^{c})P(H^{c})\\=(0.01\times0.04)+(0.98\times0.96)\\=0.9412

Thus, the probability that a person passes the security system is 0.9412.

(b)

Compute the probability that a person who passes through the system is without any security problems as follows:

P(H^{c}|P)=\frac{P(P|H^{c})P(H^{c})}{P(P)} \\=\frac{0.98\times0.96}{0.9412} \\=0.9996\\\approx1

Thus, the probability that a person who passes through the system is without any security problems is approximately 1.

7 0
3 years ago
12c + 12 (3/4c) + 12 (1/2c) shows the total cost for buying 3 phones that each cost c dollars per month for 12 months.
alisha [4.7K]

Answer:

c(12 + 9 + 6)

12(2.25c)

Step-by-step explanation:

12c + 12 (3/4c) + 12 (1/2c)

12(1c) + 12(3/4c) + 12 (1/2c)

12(c + 3/4c + 1/2c)

12(2 1/4c)

12(2.25c)

Or

12c + 12 (3/4c) + 12 (1/2c)

12c + 9c + 6c

c(12 + 9 + 6)

6 0
3 years ago
A passenger train and a freight train leave San Jose at 3PM, traveling in the same direction. The passenger train is going three
Liono4ka [1.6K]

Let's say that the speed of the freight train is x and the one of the passenger train is 3x.

x MPH means every hour the freight train covers x miles., which means in 3h it will have covered 3 times as much: 3x mi.

Following the same logic, 3x MPH means every hour the passenger train covers 3x miles, meaning after 3h it will have covered 3 times as much as well: 9x mi.

Now, having expressed those distances and speeds algebraically, we find the difference between the two distances covered after 3h, knowing it will be equal to 240:

9x-3x=6x\\6x=240\\x=240/6\\x=40

Knowing this, we can surely affirm that the freight train is travelling at 40MPH and the passenger train is travelling three times as fast, 120MPH.

5 0
3 years ago
Please help like now
garik1379 [7]

Answer:

12f + 49g

Step-by-step explanation:

   

     12f -7g(-7)

    12f + 49g

7 0
3 years ago
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