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3 years ago

Line segments that have the same length, or angles that have the same measure are?

Mathematics

1 answer:

almond37 [142]3 years ago

5 0

Answer:

equal or otherwise called congruent

Step-by-step explanation:

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

motikmotik

Answer:

The 95% confidence interval for the population mean rating is (5.73, 6.95).

Step-by-step explanation:

We start by calculating the mean and standard deviation of the sample:

$M=\dfrac{1}{n}\sum_{i=1}^n\,x_i\\\\\\M=\dfrac{1}{50}(6+4+6+. . .+6)\\\\\\M=\dfrac{317}{50}\\\\\\M=6.34\\\\\\s=\sqrt{\dfrac{1}{n-1}\sum_{i=1}^n\,(x_i-M)^2}\\\\\\s=\sqrt{\dfrac{1}{49}((6-6.34)^2+(4-6.34)^2+(6-6.34)^2+. . . +(6-6.34)^2)}\\\\\\s=\sqrt{\dfrac{229.22}{49}}\\\\\\s=\sqrt{4.68}=2.16\\\\\\$

We have to calculate a 95% confidence interval for the mean.

The population standard deviation is not known, so we have to estimate it from the sample standard deviation and use a t-students distribution to calculate the critical value.

The sample mean is M=6.34.

The sample size is N=50.

When σ is not known, s divided by the square root of N is used as an estimate of σM:

$s_M=\dfrac{s}{\sqrt{N}}=\dfrac{2.16}{\sqrt{50}}=\dfrac{2.16}{7.071}=0.305$

The degrees of freedom for this sample size are:

$df=n-1=50-1=49$

The t-value for a 95% confidence interval and 49 degrees of freedom is t=2.01.

The margin of error (MOE) can be calculated as:

$MOE=t\cdot s_M=2.01 \cdot 0.305=0.61$

Then, the lower and upper bounds of the confidence interval are:

$LL=M-t \cdot s_M = 6.34-0.61=5.73\\\\UL=M+t \cdot s_M = 6.34+0.61=6.95$

The 95% confidence interval for the mean is (5.73, 6.95).

4 0

3 years ago

Help Me | It says: Multiply by the ones. Regroup if needed. Then It says: 2x6 ones = ? Ones or ? Ten and ? Ones | 2x4 tens = ? T

Marianna [84]

2×6 ones= 12 ones
2× 4 tens(40)=80(8 tens)
tens(10)+1 ten=20(2 tens)
2×3 hundreds(300)=600(6 hundreds)

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Which pair of numbers is relatively prime?

stiv31 [10]

The answer tour question is D

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All of the following are equivalent except _____.

Inessa05 [86]

(5_5)x is not equalant

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A hummingbird can travel up to 15 meters per second.

Elena L [17]

Speed=15 m/s
1 hour=60 minutes
60 minutes=60 minutes (60 seconds/1 minute)=3600 seconds.

15 m/s=(15 m/s)(1 mile / 1609 m)(3600 s/1h)=33.56... miles/hour≈
≈33.6 miles/hour.

Answer: the speed in miles per hour would be 33.6 miles/hour

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