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3 years ago

Triangle PQR has vertices (0, 4), (2, 5), and (3, 8).

Mathematics

1 answer:

marishachu [46]3 years ago

7 0

Answer: the answer should be B

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Where do I find something like this?

Gnesinka [82]

Answer:

something like what? what do you mean?

Step-by-step explanation:

6 0

3 years ago

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

4 years ago

QUICK I NEED HELP PLEASE!

seraphim [82]

Assuming you meant is $- \frac{3}{5} x+ \frac{1}{5} \ \textgreater \ 720$

The answer would be :
$- \frac{3}{5} x\ \textgreater \ 719.8$

$x \ \textless \ \frac{719.8}{ \frac{-3}{5} }$
$x\ \textless \ 719.8 *( \frac{-5}{3} )$
$x\ \textless \ \frac{-3599}{3}$

Hope this helps !

Photon

However, your equation seems weird :o

8 0

3 years ago

The difference between 4 times a number and 6 and 10

yarga [219]

Answer:

Step-by-step explanation:

4x-6=10

Adding 6 to both sides

4x=10+6

4x=16

Dividing both sides by 4

x=4

8 0

3 years ago

Area of rectangle sheet is 750 Sq. cm, if length is 30 cm, find its breadth and perimeter

zepelin [54]

Explanation: 750/30=25
The area is 30cm by 25cm because they multiply to 750

8 0

3 years ago