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sergeinik [125]
3 years ago
8

What is a solution to x ≥ 20

Mathematics
1 answer:
Triss [41]3 years ago
4 0

Answer:

Step-by-step explanation:

Any number equal to or greater than 20 is a solution.  22 would be a solution.

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A motorboat that travels with a speed of 20 km/hour in still water has traveled 20 km against the current and 180 km with the cu
Gala2k [10]
Recall your d = rt.  distance = rate * time.

let's say the speed of the current is "c".

keeping in mind that, when the boat is going against the current, the boat is not really going at 2kmh, but instead at " 20 - c ", because the current is subtracting speed from it.

Likewise when is going with the current, is going at a speed of " 20 + c ".

if the boat took say "t" hours on the way over, on the way back it took the slack from the whole 8 hours and "t", namely it took " 8 - t " hours.

\bf \begin{array}{lccclll}
&\stackrel{km}{distance}&\stackrel{kmh}{rate}&\stackrel{hours}{time}\\
&------&------&------\\
\textit{against the current}&20&20-c&t\\
\textit{with the current}&180&20+c&8-t
\end{array}
\\\\\\
\begin{cases}
20=(20-c)(t)\implies \frac{20}{20-c}=t\\
180=(20+c)(8-\stackrel{\downarrow }{t})\\
--------------\\
180=(20+c)\left( 8- \stackrel{\downarrow }{\frac{20}{20-c}}\right)
\end{cases}
\\\\\\
180=(20+c)\left( \cfrac{(160-8c)-20}{20-c} \right)

\bf 180=(20+c)\left( \cfrac{140-8c}{20-c} \right)\implies 180(20-c)=(20+c)(140-8c)
\\\\\\
3600c-180c=2800-160c+140c-8c^2
\\\\\\
3600c-180c=2800-20c-8c^2
\\\\\\
3600c-180c-2800+20c+8c^2=0\implies 8c^2-160c+800=0
\\\\\\
c^2-20c+100=0\implies (c-10)(c-10)=0\implies \boxed{c=10}
8 0
3 years ago
Suppose all left-handed people are excluded from a sample. What is this an example of?
Gala2k [10]

The proportion of left-handed people in the general population is about 0.1. Suppose a random sample of 225 people is observed.

1. What is the sampling distribution of the sample proportion (p-hat)? In other words, what can we say about the behavior of the different possible values of the sample proportion that we can get when we take such a sample?

(Note: normal approximation is valid because .1(225) = 22.5 and .9(225) = 202.5 are both more than 10.)

2. Since the sample proportion has a normal distribution, its values follow the Standard Deviation Rule. What interval is almost certain (probability .997) to contain the sample proportion of left-handed people?

3. In a sample of 225 people, would it be unusual to find that 40 people in the sample are left-handed?

4. Find the approximate probability of at least 27 in 225 (proportion .12) being left-handed. In other words, what is P(p-hat ? 0.12)?

Guidance: Note that 0.12 is exactly 1 standard deviation (0.02) above the mean (0.1). Now use the Standard Deviation Rule.

3 0
4 years ago
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Marizza181 [45]
A 30 use a protracter
8 0
3 years ago
A number is considered "blue" if the sum of its digits is equal to the product of its digits. Which of the following
Lena [83]

Answer:

gcfcfud g fhhfhchgdjchfhfhgfhhufxyvhcj v hxhcnchchdfhvhdnfjc

7 0
3 years ago
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If (-3) to the exponent of -5 = 1/x , what is the value of x? -243 -1/243 1/243 243
Leni [432]

Use the rule that x^(-k) = 1/(x^k) to get

(-3)^(-5) = 1/(  (-3)^5 ) = 1/( -243 )

Comparing 1/( -243 ) with the form 1/x, we see that x = -243

<h3>Answer:  -243</h3>

7 0
4 years ago
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