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2 years ago

A right triangle has one side that is 6 inches

Mathematics

1 answer:

ASHA 777 [7]2 years ago

8 0

Answer:

31.4 inches

Step-by-step explanation:

36+144 = 180

sqrt(180) = 13.41

6 + 12 + 13.4

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The Johnson family is trying to conserve energy by having lights on in the house no more than 105 minutes a day. If they have al

bagirrra123 [75]

Answer:

Step-by-step explanation:

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3 years ago

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The International Air Transport Association surveys business travelers to develop quality ratings for transatlantic gateway airp

yKpoI14uk [10]

Answer:

Confidence Interval in 95% confidence level for the quality rating is (6.06,7.46)

Step-by-step explanation:

Confidence Interval can be calculated using the formula M±ME where

M is the mean of the sample
ME is the margin of error in a given confidence level

Using the sample obtained from 50 business travelers we get

Mean of the sample is 6.76
standard deviation of the sample is 2.526

Margin of error (ME) around the mean using the formula

ME= $\frac{z*s}{\sqrt{N} }$ where

z is the corresponding statistic in 95% confidence level (1.96)

s is the standard deviation of the sample (2.526)

N is the sample size (50)

Using the numbers in the formula we get:

ME= $\frac{1.96*2.526}{\sqrt{50} }$ ≈ 0.70

Then the confidence interval becomes 6.76±0.70

6 0

3 years ago

A real estate agent has 19 properties that she shows. She feels that there is a 30% chance of selling any one property during a

netineya [11]

Answer:

$P(X \geq 5)=1-P(X$

We can find the individual probabilities:

$P(X=0)=(19C0)(0.3)^0 (1-0.3)^{19-0}=0.00114$

$P(X=1)=(19C1)(0.3)^1 (1-0.3)^{19-1}=0.0092$

$P(X=2)=(19C2)(0.3)^2 (1-0.3)^{19-2}=0.0358$

$P(X=3)=(19C3)(0.3)^3 (1-0.3)^{19-3}=0.0869$

$P(X=4)=(19C4)(0.3)^4 (1-0.3)^{19-4}=0.1491$

And replacing we got:

$P(X \geq 5) = 1-[0.00114+0.009282+0.0358+0.0869+0.149]= 0.7178$

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=19, p=0.3)$