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Alenkasestr [34]
3 years ago
5

What is the total cost if the shirt cost $40 and 20% off

Mathematics
1 answer:
Eddi Din [679]3 years ago
7 0
You'd simply have to find 20% of $40. To find the percent of a number, you would change the percent into an actual decimal/number, and then multiply them both. So the percent would become 0.20.

40 × 0.20 = 8

So now you would subtract 8 from the cost of 40.

 40 - 8 = 32.

The shirt costs $32.
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Anita can clean a typical pool in 8 hours. Chao can clean a typical pool in 6 hours. How long should it take Anita and Chao work
Snezhnost [94]
This kind of problems requires to add the working velocities. The total velocity is the sum of the individual velocities.

Anita's velocity = 1 pool/8 hours
Chao's velocity = 1 pool/6 hours

Combined velocity 1/8 + 1/6 = (3 + 4)/24 = 7/24 pool/hour

Time = 1 pool / (7/24) pool/hour = 24/7 hour =3.43 hours
8 0
3 years ago
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
Rewrite the expression 10 to the -3 power
liberstina [14]

Answer: 0.001 or 1/1000

Since it is a negative exponent and -3 so it is in the thousandths, so 1/1000 or 0.001.

Have a good day! : )

6 0
3 years ago
Choose the function whose graph is given by:
Mekhanik [1.2K]

Answer: y= sin x+2

Step-by-step explanation:

5 0
2 years ago
For 4 weeks, William volunteered as a helper for swimming classes. The first week, he volunteered for 8 hours. He volunteered fo
tino4ka555 [31]

Answer:

He volunteered 10 hrs 15 min on average.

Step-by-step explanation:

The first week: 8 hrs

The second week: 12 hrs

The third week: 12 hrs

The fourth week: 9 hrs

8 + 12 + 12 + 9 = 41 hrs total

41 hours/4 weeks = 10.25 hrs (10 hrs 15 min)

5 0
3 years ago
Read 2 more answers
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