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Simora [160]
3 years ago
6

If p is q and q is r which statement must be true

Mathematics
2 answers:
TiliK225 [7]3 years ago
8 0

Answer:p is r

Step-by-step explanation:

Lyrx [107]3 years ago
4 0

Answer: D

Step-by-step explanation:

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During a professional Field hockey game,every spectator placed his or her ticket sub into one of several containers,after the ga
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The sixteen people to March in the sportsmanship parade

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A sample refers to a smaller, manageable version of a larger group. It is a subset containing the characteristics of a larger  population. 

 A sample should represent the population as a whole and not reflect any bias toward a specific attribute.

Since the coach chose 16 people to March in the sportsmanship parade, the sample in this situation, The sixteen people to March in the sportsmanship parade is the sample

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Function g is a transformation of function f.
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2 years ago
What is the best next step in the construction of the perpendicular bisector <br> AB?
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3 years ago
Terri Vogel, an amateur motorcycle racer, averages 129.71 seconds per 2.5 mile lap (in a 7 lap race) with a standard deviation o
Vikki [24]

Answer:

(a) The percent of her laps that are completed in less than 130 seconds is 55%.

(b) The fastest 3% of her laps are under 125.42 seconds.

(c) The middle 80% of her laps are from <u>126.80</u> seconds to <u>132.63</u> seconds.

Step-by-step explanation:

The random variable <em>X</em> is defined as the number of seconds for a randomly selected lap.

The random variable <em>X </em>is normally distributed with mean, <em>μ</em> = 129.71 seconds and standard deviation, <em>σ</em> = 2.28 seconds.

Thus, X\sim N(129.71,\ 2.28^{2}).

(a)

Compute the probability that a lap is completes in less than 130 seconds as follows:

P(X

                   =P(Z

The percentage is, 0.55 × 100 = 55%.

Thus, the percent of her laps that are completed in less than 130 seconds is 55%.

(b)

Let <em>x</em> represents the 3rd percentile.

That is, P (X < x) = 0.03.

⇒ P (Z < z) = 0.03

The value of <em>z</em> for the above probability is:

<em>z</em> = -1.88

Compute the value of <em>x</em> as follows:

z=\frac{x-\mu}{\sigma}\\-1.88=\frac{x-129.71}{2.28}\\x=129.71-(1.88\times 2.28)\\x=125.4236\\x\approx 125.42

Thus, the fastest 3% of her laps are under 125.42 seconds.

(c)

Let <em>x</em>₁ and <em>x</em>₂ be the values between which the middle 80% of the distribution lie.

That is,

P(x_{1}

The value of <em>z</em> for the above probability is:

<em>z</em> = 1.28

Compute the values of <em>x</em>₁ and <em>x</em>₂ as follows:

-z=\frac{x_{1}-\mu}{\sigma}\\-1.28=\frac{x_{1}-129.71}{2.28}\\x_{1}=129.71-(1.28\times 2.28)\\x=126.7916\\x\approx 126.80               z=\frac{x_{2}-\mu}{\sigma}\\1.28=\frac{x_{2}-129.71}{2.28}\\x_{2}=129.71+(1.28\times 2.28)\\x=132.6284\\x\approx 132.63

Thus, the middle 80% of her laps are from <u>126.80</u> seconds to <u>132.63</u> seconds.

5 0
3 years ago
The distance on a map between two locations is 2.25 inches. If = 24 miles, what the actual distance between the two locations?
almond37 [142]
The answer would be C.

2.25 + 24 = 26.25 miles
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2 years ago
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