What is the slope of the line ( part 2 )

First one is for number 2 and vice versa.

Using the t-distribution, it is found that since the test statistic is greater than the critical value, the sample information supports the suspicion that the average strength of corrugated fiberboards from Firm 1 is three pounds per square inch higher than that from Firm 2.

At the null hypothesis, we test if the average strength of corrugated fiberboards from Firm 1 is not three pounds per square inch higher than that from Firm 2, that is, we test if the subtraction of the means is at most 3, hence:

[tex]H_0: \mu_1 - \mu_2 \leq 3[/tex]

At the alternative hypothesis, we test if the difference is more than 3, that is:

[tex]H_1: \mu_1 - \mu_2 > 3[/tex]

The mean and the standard deviation for both tests are:

[tex]\mu_1 = 366, s_1 = 11.67[/tex]

[tex]\mu_2 = 357.4, s_2 = 4.27[/tex]

The standard errors are:

[tex]s_1 = \frac{11.67}{\sqrt{9}} = 2.9175[/tex]

[tex]s_2 = \frac{4.27}{\sqrt{10}} = 1.35[/tex]

The distribution of the difference has mean and standard deviation given by:

[tex]\overline{x} = \mu_1 - \mu_2 = 366 - 357.4 = 8.6[/tex]

[tex]s = \sqrt{s_1^2 + s_2^2} = \sqrt{2.9175^2 + 1.35^2} = 3.2147[/tex]

The test statistic is given by:

[tex]t = \frac{\overline{x} - \mu}{s}[/tex]

In which [tex]\mu = 3[/tex] is the value tested at the null hypothesis.

It's value is:

[tex]t = \frac{\overline{x} - \mu}{s}[/tex]

[tex]t = \frac{8.6 - 3}{3.2147}[/tex]

[tex]t = 1.742[/tex]

The critical value for a right-tailed test, as we are testing if the mean is greater than a value, with 9 + 10 - 2 = 17 df and a significance level of 0.05 is [tex]t^{\ast} = 1.7396[/tex]

Since the test statistic is greater than the critical value, the sample information supports the suspicion that the average strength of corrugated fiberboards from Firm 1 is three pounds per square inch higher than that from Firm 2.

A similar problem is given at https://brainly.com/question/25562298

a. y = 5x + 80 = 5*4 + 80 = 20 + 80  = 100

b. a = 3-5c = 3 - 5*(-0.5) = 3 - (-2.5) = 3 + 2.5 + 5.5

c. n = 2d² - 5 = 2*(-2)² - 5 = 2* 4 - 5 = 8 - 5 = 3

d. v = -3(1-3r) = -3(1-3(-1)) = -3(1+3) = -3*4=-12

Answer:

B

Step-by-step explanation:

We can multiply both sides by 2 to get rid of the fraction and get:

t ≥ 11 × 2 ->

t ≥ 22.

Hope that helps! :)

Answer:

B: t  ≥ 22

Step-by-step explanation:

Answer:

1/8x³- 1/27y³

Step-by-step explanation:

1/216×(27x³-8y³)

1/216×(3x-2y)×(9x²+6xy+4y²)

1/216×(3x-2y)×(9x²+6xy +4y²)

Answer:

d

Step-by-step explanation:

po ang tamang sagon po

Step-by-step explanation:

A, B are right.

when checking that each x value has exactly one y value (B - that is the definition of a function), we need vertical lines to see that every vertical line has only one crossing point. A.

it is not C, because per definition a sequence is a function with the domain of natural numbers (or whole numbers incl. 0), and the range is the real numbers.

in other words, it is a numbered list of real numbers.

and it is definitely NOT D !

see A and B.

Answer:

20hours

Step-by-step explanation:

Old Job hours = 54 -34 = 20 hours

Answer:

0.501>0.051

Step-by-step explanation:

Answer:

0.501 > 0.051

Step-by-step explanation: blah

Answer:

faut-il faire les ponits avec le pallergrom de (−2 ; 3), (6 ; 2) (−1 ; 0) ?

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Based on the information given in the question, the inequality which can be used to determine x, the number of people who can go to the amusement park will be:

8 + 38(x) ≤ 160

8 + 38x ≤ 160

38x ≤ 160 - 8

38x ≤ 152

x ≤ 152/38

x ≤ 4

The number of people that can go to the amusement park will be at most 4.

Hence the answer is 4.

Answer:

2 and 4/9ths

Step-by-step explanation:

2 ⁴/9 is equal to 2.4 constant

Answer:

Step-by-step explanation:

Answer:

2n-1

Step-by-step explanation:

-5 ---> -3 = 2

-3 -2= -1

a. 3x - 6 = 4(2 - 3x) - 8x

⇛ 3x - 6 = 8 - 12x - 8x

⇛ 3x + 12x + 8x = 8 + 6

⇛ 23x = 14

⇛ x = 14/23

b. 1/2z + 6 = 3/2(z + 6)

⇛1/2z + 6 = 3/2z + 9

⇛ 1/2z - 3/2z = 9 - 6

⇛ -z = 3

⇛z = -3

c. 9 - 7w = 8w + 8

⇛ - 7w - 8w = 8 - 9

⇛ -15w = -1

⇛ w = 1/15

Answer:

-24

Step-by-step explanation:

-2/3c = 16

c = 16 : -2/3

c = 16 . 3/-2

c = 8 . 3/-1

c = 8 . -3

c = -24

Answer:

-24

Step-by-step explanation:

-2/3c = 16

c = 16 * 3/-2

c = -8 * 3

c = -24

Answer:

In mathematics, the derivative of a function of a real variable measures the sensitivity to change of the function value with respect to a change in its argument. Derivatives are a fundamental tool of calculus.

Answer:

60+37x=245

Step-by-step explanation

x = 5

Answer:

27 degrees

Step-by-step explanation:

it was at 18 and then it went down 27 degrees to get to -9 because if you take away the - sign in negative -9, and ad 9 to 18 you will get 27 or just use the calculator to double check your work (what i did)  18-27=-9 and thats what the tempurture went down to in 8 hours

Answer:

$233.82

Step-by-step explanation:

$12.99 a ball times 18 players (12.99x18) equals 233.82$

Answer:

x = 6.5 units

Step-by-step explanation:

The 2 given squares are the on the legs of the right triangle with hypotenuse x

Using Pythagoras' identity in the right triangle

The square on the hypotenuse is equal to the sum of the squares on the other 2 legs , then

x² = 13 + 29.25 = 42.25 ( take square root of both sides )

x = [tex]\sqrt{42.25}[/tex] = 6.5 units

Answer: 0.54

Step-by-step explanation:

im not sure if your talking about turining the fraction into a decimal but this is how it would look as a decimal.

Answer:

1

Step-by-step explanation:

Pick two points on the line

(0,1) and (1,2)

We can use the slope formula

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

   = ( 2-1)/(1-0)

   = 1/1

   =1

Answer:

1500-8000

Step-by-step explanation:

It depends what type of truck and what its carrying

Answer:

Interval notation for m: (-3,3)

Inequality notation: -3<m<3

In words: Anything between -3 and 3 without including either -3 or 3.

Step-by-step explanation:

If we want no real roots then b^2-4ac must be less than 0.

a=1

b=2m

c=9

These values were found by comparing your equation to ax^2+bx+c=0.

b^2-4ac<0 is what we are trying to satisfy

(2m)^2-4(1)(9)<0

4m^2-36<0

Divide both sides by 4:

m^2-9<0

Add 9 on both sides:

m^2<9

m^2<9 when m<3 and m>-3.

Interval notation (-3,3).

Answer:

x = 4 is the solution

Step-by-step explanation:

Solving the inequalities

x + 5 > 8 ( subtract 5 from both sides )

x > 3

-------------

2x - 3 < 7 ( add 3 to both sides )

2x < 10 ( divide both sides by 2 )

x < 5

The only integer value of x > 3 and < 5 is 4

Answer:

Pretty sure the answer is 9−4√3

[tex]\dfrac{(5-\sqrt 3)(3-\sqrt 3)}{2}\\\\=\dfrac{15 - 5\sqrt 3 - 3\sqrt 3 + 3}{2}\\\\=\dfrac{18 - 8 \sqrt 3}2\\\\=\dfrac{18}2 - \dfrac{8 \sqrt 3}2\\\\=9- 4\sqrt 3[/tex]

Answer:

6956

Step-by-step explanation:

i dont get the Question

Answer:

Step-by-step explanation:

The standard form of an equation for a straight line is y=mx+b, where m is the slope and b is the y-intercept (the value of y when x = 0).

We can calculate the slope from the two given points, (6,-3) and (-6,-5).  Slope is Rise/Run, where Rise is the change in y and Run is the change in x.

From the two given points, starting at (-6,-5) and going to (6,-3):

Rise = (-3 - (-5)) = +2

Run = (6 - (-6)) = 12

Rise/Run (slope) = 2/12 or 1/6

The equation becomes y = (1/6)x + b

We can find b by enterieng either of the two given points and solving for b.  I'll pick (6,-3):

y = (1/6)x + b

-3 = (1/6)*(6) + b

-3 = 1 + b             [Now you can see why I chose (6,-3)]

b = -4

The equation is y = (1/6)x - 4

Check this with a DESMOS graph (attached).