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nevsk [136]
2 years ago
15

Kevin is running a marathon. His time comes to 26 miles in 2 2/3 hours. What is his speed in miles per hour?

Mathematics
1 answer:
xz_007 [3.2K]2 years ago
3 0
X= mph
26 miles
2 2/3 hours

convert 2 2/3 into a fraction
2 2/3 =8/3

x = 26 / (8/3)
x = 9.75 miles per hour
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If 35+(16x-8)+(2x+9)=180 what does x equal
Mnenie [13.5K]

Answer:

x = 8

Step-by-step explanation:

combine like terms:

18x + 36 = 180

18x = 180-36

18x = 144

x = 144/18

x = 8

3 0
3 years ago
In a binomial experiment with 45 trials, the probability of more than 25 success can be approximated by What is the probability
Pani-rosa [81]

Answer:

0.6 is the probability of success of a single trial of the experiment

Complete Problem Statement:

In a binomial experiment with 45 trials, the probability of more than 25 successes can be approximated by P(Z>\frac{(25-27)}{3.29})

What is the probability of success of a single trial of this experiment?

Options:

  • 0.07
  • 0.56
  • 0.79
  • 0.6

Step-by-step explanation:

So to solve this, we need to use the binomial distribution. When using an approximation of a binomially distributed variable through normal distribution , we get:

\mu =\frac{np}{\sigma}=\sqrt{np(1-p)}

now,

Z=\frac{X-\mu}{\sigma}

so,

by comparing with P(Z>\frac{(25-27)}{3.29}), we get:

μ=np=27

\sigma=\sqrt{np(1-p)} =3.29

put np=27

we get:

\sigma=\sqrt{27(1-p)} =3.29

take square on both sides:

10.8241=27-27p

27p=27-10.8241

p=0.6

Which is the probability of success of a single trial of the experiment

5 0
3 years ago
What is the 8th term of 6,2,2/3
devlian [24]

Answer:

2/729

Step-by-step explanation:

I think that is the answer I hope it helps

3 0
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Which term does not describe a square?
forsale [732]

Answer: a

Step-by-step explanation:

7 0
3 years ago
An oblique cylinder has a radius of 10 meters and a volume of 2,500 cubic meters. Use Cavalieri’s Principle to solve for the hei
shusha [124]
The idea of the Cavalieri's Principle states that even if the cylinder is oblique, so long as the planes in the figure are parallel, the equation would still be equal to,
                               V = Bh = πr²h
Substituting,
                               2,500 = π(10 m)²h
                                     h = 7.95 m
The answer should be 5 meters. 









4 0
3 years ago
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