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3 years ago

Graph the function and label its intercepts. Round the intercepts to two decimal places.pt.2

Mathematics

1 answer:

serg [7]3 years ago

5 0

Answer:

(0,32/9)

Step-by-step explanation:

Root(2log↓3/2(2)+2,0)

Domain x∈R

Vertical Intercept (0, 32/9)

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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

Line J M is the perpendicular bisector of LK.

drek231 [11]

Answer:

The congruent segments are LN and NK ⇒ C

Step-by-step explanation:

<em>If a line is a perpendicular bisector of another line, that means this line intersects the other line in its midpoint and form right angles around this point</em>

∵ Line JM is the perpendicular bisector of line LK

→ That means JM intersect LK at the midpoint of LK

∵ Line JM intersects line LK at point N

∴ Point N is the midpoint of LK

∵ N divides LK into two segments LN and NK

∵ N is the midpoint of LK

→ That means LN equals NK

∴ LN = NK

∴ The congruent segments are LN and NK

5 0

3 years ago

Which statement is not one of the five essential parts needed to construct a good proof? a. Develop a system of inductive reason

notka56 [123]

the answer is D ................ .

5 0

3 years ago

A spaceship weighs 410,000 kg. what is this number, without units, in scientific notation?

Nesterboy [21]

Answer:

Step-by-step explanation:

10^5 = 100,000 x 4.1 = 410,000

7 0

2 years ago

Pls help asap important assessment

Effectus [21]

Answer:

Step-by-step explanation:

my teacher tells us that that answer is the most inportant in math in any grade

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2 years ago

Read 2 more answers

Graph the function and label its intercepts. Round the intercepts to two decimal places.pt.2​

Graph the function and label its intercepts. Round the intercepts to two decimal places.pt.2