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Lostsunrise [7]
4 years ago
5

Tony plans to purchase a jacket that costs p dollars. In a week the jacket will go on sale for 30% off. Tony writes althea follo

wing expression to calculate the cost of the jacket after the discount:
p - .30p

Now which of the following is equivalent?

1.30p
1.70p
2p - .30
.70p
p (1 - .30)
Mathematics
1 answer:
lana [24]4 years ago
5 0

Answer:

.70p  

p(1-.30)

Step-by-step explanation:

Tony plans to purchase a jacket that costs p dollars. In a week the jacket will go on sale for 30% off.

Tony writes althea following expression

p - .30p

Here P  or 1P  are same

So expression becomes 1p - 0.30p

Both are like terms

so we can subtract it

1p - 0.30p = 0.70p

Also we can write 1p - 0.30p  as  p(1-0.30)

We can take out p that is in common

Equivalent expression is .70p  and p(1-.30)

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A kayaker can paddle 12 mi in 2 h moving with the river current. Paddling at the same pace, the trip back against takes 4 h. Ass
Firdavs [7]
Downstream DATA:
distance = 12 miles 
time = 2 hours 
rate = 12/2 = 6 mph
----------------
Upstream DATA:
distance = 12 miles 
time = 4 hrs 
rate = 12/4 = 3 mph
----
Equations:
Downstream: b + c = 6
Upstream::: b - c = 3
------
Add to get:
2b = 9
b = 4.5 mph (speed of the boat in still water.)
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Solve for "c":
b + c = 6
4.5 + c = 6
c = 1.5 mph (speed of the current)
The answer is 1.5 mph
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Which of the following best describes how muckrakers brought about reform in the Progressive Era?
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Answer:

B

Step-by-step explanation:

Both A and B are similar but the difference is that muckrakers did not present facts to encourage more investigation, they presented facts to make a change. There are many examples but one major one is Upton Sinclair and his book "The Jungle". It exposed the meat industry and how corrupted it was. This led to many changes such as new food safety laws.

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According to a certain golf​ association, the weight of the golf ball shall not be greater than 1.620 ounces​ (45.93 grams). The
evablogger [386]

Missing Part of Question

d. Refer to part c . If x has a binomial distribution, then so does the number, y , of balls in the sample that meet the USGA’s minimum diameter. [ Note: x + y = 60 ] Describe the distribution of y . In particular, what are p, q , and n ? Also, find E(y) and the standard deviation of y .

Answer:

c. Mean = 12

Standard Deviation = 3.098

d.

n = 60

p = 0.8

q = 0.2

Mean = 48

Standard Deviation = 3.098

Step-by-step explanation:

You've answered a and b part of the question, already.

See extracts below

------------------- Answered to Question a and b begins here

"a. What assumptions must be made in order to use the binomial probability distribution to calculate the probability that a particular kind of golf ball will be removed?

A. The experiment consists of n identical trials. There are only two possible outcomes on each trial. The probability of success can change from trial to trial. The trials are dependent.

B. The experiment consists of n identical trials. There are only two possible outcomes on each trial. The probability of success remains the same from trial to trial. The trials are independent.

C. The experiment consists of n identical trials. The number of outcomes can vary. The probability of success can change. The trials are independent.

b. What information must be known in order to use the binomial probability distribution to calculate the probability that a particular kind of golf ball will be removed?

A. The percentage of that kind of golf ball that meets all the requirements

B. The percentage of that kind of golf ball that meets the size requirements

C. The percentage of that kind of golf ball that meets the velocity requirements

D. The percentage of that kind of golf ball that fails to meet both size and velocity requirements

--------------------------- Answer to Question a and b stops here

I'll continue from c and then proceed to d..

c.

Mean is calculated by np

where n = number of observation i.e. sample size = 5 dozens = 5 * 12 = 60

p = probability of success = 20% = 0.2

Mean, E(x) = 0.2 * 60 = 12

Standard Deviation is calculated by the SquareRoot of the products of mean by q (

Standard Deviation = √npq

Where q = 1 - p

q = 1 - 0.2

q = 0.8

Standard Deviation = √(12)(0.8)

Standard Deviation = √9.6

Standard Deviation = 3.098386676965933

Standard Deviation = 3.098 ----- Approximated

d.

From (c) above,

x represents the number of balls that didn't meet USGA minimum diameter

And y represents the number of balls that meet USGA minimum diameter

In total, there are 5 dozen balls

So, x + y = 5 * 12

x + y = 60

So, n = x + y = 60

p, the probability of success of y is the complement of the probability of success of x.

i.e. p of y = 1 - 0.2

p = 0.8

q = 1 - 0.8 = 0.2

Mean is calculated as

E(Y) = np = 60 * 0.8 = 48

Standard Deviation = √npq

Standard Deviation = √(60 * 0.8 * 0.2)

Standard Deviation = √9.6

Standard Deviation = 3.098386676965933

Standard Deviation = 3.098 ----- Approximated

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==> True.

<em>From</em><em> </em><em>the</em><em> </em><em>first</em><em> </em><em>equat</em><em>ion</em><em>,</em><em> </em><em>6</em><em>x</em><em>-</em><em>y</em><em>=</em><em>7</em>

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