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2 years ago

A jogging trail measures 252 feet from start to finish. Cheryl ran the trail 2 times.

Mathematics

2 answers:

OleMash [197]2 years ago

6 0

The correct answer is 168

sergiy2304 [10]2 years ago

5 0

Cheryl ran the trail twice, so:

252 x 2 = 504

She ran 504 feet. Now convert 504 feet to yards:

3 feet : 1 yard
504 feet : ? yards

Answer: 168 yards
Hope it helped :)

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1 year ago

Assume the random variable x has a binomial distribution with the given probability of obtaining a success. Find the following.

borishaifa [10]

Answer:

P(x > 10) = 0.6981.

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

In this question:

$n = 14, p = 0.8$

P(x>10)

$P(x > 10) = P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14)$

In which

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 11) = C_{14,11}.(0.8)^{11}.(0.2)^{3} = 0.2501$

$P(X = 12) = C_{14,12}.(0.8)^{12}.(0.2)^{2} = 0.2501$

$P(X = 13) = C_{14,13}.(0.8)^{13}.(0.2)^{1} = 0.1539$

$P(X = 14) = C_{14,14}.(0.8)^{14}.(0.2)^{0} = 0.0440$

$P(x > 10) = P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14) = 0.2501 + 0.2501 + 0.1539 + 0.0440 = 0.6981$

So P(x > 10) = 0.6981.

8 0

2 years ago

2) Two big bags of sugar plus one small bag of flour add up to a total of 12 kg.

alisha [4.7K]

Answer:

It's just a simultaneous equation

Step-by-step explanation:

Let a big bag of sugar = x

Let a small bag of flour = y

x+x+y = 12kg

2x+y = 12kg ... 1

x-y = 2kg ... 2

Add 1 and 2

2x+y = 12

x -y = 2

3x = 14

x = 14/3 = 4.66

Substitute value of x into 1

2(4.66)+y = 12

9.333 + y = 12

12 - 9.333= 12

y = 2.66

Hope you understand it

And I hope my answer was of help to you.

3 0

2 years ago