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3 years ago

From 5 miles to 16 miles rounded to the nearest percent

2 answers:

4 0

You add 5 miles to 16 miles the answer is 21 miles then you round off to nearest percent.... I not sure what percent u are looking at....

Mademuasel [1]3 years ago

4 0

I think its 11 since its from 5 to 16

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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

write the equation of the line that passes through the given points (0,-1) and (-5,-7) Simplify your answer

USPshnik [31]

Answer:

y = 6/5 x-1 slope intercept form

6x-5y = 5 standard form

Step-by-step explanation:

We have the points (0,-1) and (-5,-7)

We can find the slope using

m = (y2-y1)/(x2-x1)

= (-7--1)/(-5-0)

= (-7+1)/(-5-0)

= -6/-5

= 6/5

We also have the y intercept ( when x=0) It is -1

We can use the slope intercept form of the equation y = mx+b

y = 6/5 x-1

Depending on what you mean when you say simplify your answer

We can put it in standard form ax+by = C

Multiply both sides by 5

5y =5* 6/5 x-1*5

5y = 6x-5

Subtract 6x from each side

-6x+5y = 6x-6x-5

-6x+5y = -5

Multiply by -1

6x-5y = 5

4 0

3 years ago

Find f(-5) if f(x) = |x+1|

lions [1.4K]

Answer:

Step-by-step explanation:

just put -5 to x

|-4|=4

3 0

3 years ago

the point slope form of the equation of a line that passes through (8,4) and (0,2) is y-4=1/4(×-8) what is the slope intercept f

marissa [1.9K]

Answer:

$\large\boxed{y=\dfrac{1}{4}x+2}$

Step-by-step explanation:

The slope-intercept form of the equation of a line:

$y=mx+b$

m - slope

b - y-intercept → (0, b)

The point-slope form of the equation of a line:

$y-y_1=m(x-x_1)$

m - slope

(x₁, y₁) - point

We have the equation of a line:

$y-4=\dfrac{1}{4}(x-8)\to m=\dfrac{1}{4}$

and the point (0, 2) → b = 2.

Substitute:

$y=\dfrac{1}{4}x+2$

7 0

3 years ago

Read 2 more answers

(2) The triangle has an area of 7 & 7/8 cm2 and a base of 5 & 1/4 cm. What is the

Andrew [12]

Answer:

h = 3 cm

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = $\frac{1}{2}$ bh ( b is the base and h the height )

Here A = 7 $\frac{7}{8}$ = $\frac{63}{8}$ ← expressed as an improper fraction

and b = 5 $\frac{1}{4}$ = $\frac{21}{4}$ , thus

$\frac{1}{2}$ × $\frac{21}{4}$ × h = $\frac{63}{8}$ , that is

$\frac{21}{8}$ h = $\frac{63}{8}$

Multiply both sides by 8 to clear the fractions

21h = 63 ( divide both sides by 21 )

h = 3

5 0

3 years ago

Read 2 more answers