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barxatty [35]
3 years ago
12

What is the opposite of 12.1

Mathematics
2 answers:
nikklg [1K]3 years ago
8 0
The opposite of 12.1 is 12.2
katen-ka-za [31]3 years ago
6 0

Answer:

12.2 is not the answer its -12.1

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A research team at Cornell University conducted a study showing that approximately 10% of all businessmen who wear ties wear the
LenKa [72]

Answer:

a) The probability that at least 5 ties are too tight is P=0.0432.

b) The probability that at most 12 ties are too tight is P=1.

Step-by-step explanation:

In this problem, we could represent the proabilities of this events with the Binomial distirbution, with parameter p=0.1 and sample size n=20.

a) We can express the probability that at least 5 ties are too tight as:

P(x\geq5)=1-\sum\limits^4_{k=0} {\frac{n!}{k!(n-k)!} p^k(1-p)^{n-k}}\\\\P(x\geq5)=1-(0.1216+0.2702+0.2852+0.1901+0.0898)\\\\P(x\geq5)=1-0.9568=0.0432

The probability that at least 5 ties are too tight is P=0.0432.

a) We can express the probability that at most 12 ties are too tight as:

P(x\leq 12)=\sum\limits^{12}_{k=0} {\frac{n!}{k!(n-k)!} p^k(1-p)^{n-k}}\\\\P(x\leq 12)=0.1216+0.2702+0.2852+0.1901+0.0898+0.0319+0.0089+0.0020+0.0004+0.0001+0.0000+0.0000+0.0000\\\\P(x\leq 12)=1

The probability that at most 12 ties are too tight is P=1.

5 0
3 years ago
In parallelogram ABCD, the length of BC=3x-1, CD=2x, and AD=x+5. Find the perimeter of ABCD
yarga [219]

Answer:

Step-by-step explanation:

BC=AD

3x-1=x+5

3x-x=5+1

2x=6

x=3

BC=3×3-1=8

CD=2x=2×3=6

perimeter=2(8+6)=2(14)=28

6 0
3 years ago
If a 3,500 investment earns 120 over 3 years, what is the annual rate?
Katarina [22]

Answer:

The annual rate of interest is 2 %

Step-by-step explanation:

Given as :

The investment amount = $ 3,500

The Interest earn on investment = $ 210

The time period = 3  years

Let The annual interest rate = R

From simple interest method :

Simple Interest =  

Or, 210 × 100 = 3500 × R × 3

Or, R =  

Or, R =  

HOPE THIS HELPED!!

5 0
3 years ago
Train A leaves Westtown and travels at 50 mph toward Smithville, 330 miles away. At the same time, Train B leaves Smithville and
lianna [129]
The answer to this question is that the trains will meet after 3 hours. We can work this out by considering that is the closing speed of the two trains is (50+60=)110 miles per hour, then this must mean that the combined distance that the trains need to travel before they meet is 330 miles. If the time that is taken to travel 330 miles at 110 miles per hour, then you simply need to divide 330/110 to find your answer - 3 hours.
7 0
3 years ago
Read 2 more answers
If an object is rotated clockwise 130° around a center and then counterclockwise 75° around the same center, what is the angle b
Keith_Richards [23]
That would be 130 - 75  = 55 degrees answer
6 0
3 years ago
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