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natta225 [31]
2 years ago
7

You've decided to take 3 steps and randomly choose left or right as the direction each time.

Mathematics
2 answers:
Montano1993 [528]2 years ago
8 0

Answer:

i would say b

Step-by-step explanation:

Alona [7]2 years ago
8 0

Answer:

Both A and B

Step-by-step explanation:

There are 222 possible outcomes for each step, so there should be 2\times2\times2=82×2×2=82, times, 2, times, 2, equals, 8 outcomes in a useful table.

Hint #22 / 3

In a useful table, no two outcomes should be exactly the same.

Hint #33 / 3

These tables are organized differently, but they both list all 888 possible outcomes.

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Lupe's dog is 10 inches taller than Sarah's dog.The. Variable s stands for the height of Sarah's dog.Whixh expression stands for
emmainna [20.7K]
The answer is C) s+10 because Lupe's dog is 10 inches taller than Sarah's dog; therefore, all you have to do is add 10 inches to the height of Sarah's dog.
8 0
2 years ago
John is 4 years older than Becky, and John’s and Becky’s combined ages is 58. How old are Becky and John?A. Becky is 26; John is
Levart [38]

Answer:

Answer C: Becky is 27; John is 31

Step-by-step explanation:

1. John is 4 years older than Becky--27(Becky's age)+ 4=31(John's age)

2. Sum of their ages is 58--27(Becky's age)+31(John's age)=58

So, the correct answer is Answer C.

3 0
2 years ago
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Megan consumed 3.5 gallons of water in one day. How many milliliters are equal to 3.5 gallons, if 1 liter = 1,000 milliliters an
baherus [9]

1 gallon = 3.785 liters

 3.5 * 3.785 = 13.2475 total liters

1 liter = 1000 milliliters

13.2475 * 1000 = 13,247.5 milliliters

 Answer is B

3 0
2 years ago
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A sumo wrestling ring is circular and has a circumference of 4.6\pi \text{ meters}4.6π meters4, point, 6, pi, start text, space,
frez [133]

Answer:

The area of the sumo wrestling ring is 5.29 \pi

Step-by-step explanation:

The circumference of the circular sumo wrestling ring is 4.6\pi, that means its radius r is:

2\pi r=4.6\pi

r=\frac{4.6}{2} =\boxed{2.3\:meters.}

Now once we have the radius r of the sumo wrestling ring we can find its area A by the following formula:

A=\pi r^2

Putting in the value of r=2.3\:meters we get:

A=\pi (2.3m)^2=\boxed{5.29\pi\:\:m^2}

Therefore the area of the sumo wrestling ring is {5.29\pi\:\:m^2

3 0
2 years ago
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The inside diameter of a randomly selected piston ring is a random variable with mean value 13 cm and standard deviation 0.08 cm
sweet-ann [11.9K]

Answer:

a) P(12.99 ≤ X ≤ 13.01) = 0.3840

b) P(X ≥ 13.01) = 0.3075

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the cental limit theorem.

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

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

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this problem, we have that:

\mu = 13, \sigma = 0.08

(a) Calculate P(12.99 ≤ X ≤ 13.01) when n = 16.

Here we have n = 16, s = \frac{0.08}{\sqrt{16}} = 0.02

This probability is the pvalue of Z when X = 13.01 subtracted by the pvalue of Z when X = 12.99.

X = 13.01

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

By the Central Limit Theorem

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

Z = \frac{13.01 - 13}{0.02}

Z = 0.5

Z = 0.5 has a pvalue of 0.6915

X = 12.99

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

Z = \frac{12.99 - 13}{0.02}

Z = -0.5

Z = -0.5 has a pvalue of 0.3075

0.6915 - 0.3075 = 0.3840

P(12.99 ≤ X ≤ 13.01) = 0.3840

(b) How likely is it that the sample mean diameter exceeds 13.01 when n = 25?

P(X ≥ 13.01) =

This is 1 subtracted by the pvalue of Z when X = 13.01. So

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

Z = \frac{13.01 - 13}{0.02}

Z = 0.5

Z = 0.5 has a pvalue of 0.6915

1 - 0.6915 = 0.3075

P(X ≥ 13.01) = 0.3075

7 0
2 years ago
Read 2 more answers
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