A proposed null hypothesis states that there is no difference in the population mean heights of two neighboring districts. The difference of the sample means is 10 cm, and the standard deviation of the difference of sample means is 6 cm. Which conclusion can we draw at the 68% confidence level?

Answers

Answer 1
Answer:

Answer:

Explained

Step-by-step explanation:

Null hypothesis is something that states that there is no difference between the population means, while the alternative hypothesis states that there is difference between the two.

So, If the difference of the sample means is 10cm, and the standard deviation of the difference of sample means is 6 cm. Then  the population means of the two districts will be different according to the manual solution.

Answer 2
Answer:

Answer:

The population means of the two districts are different.

Step-by-step explanation:


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Subtract 2x 2 - 6x - 4
from 4x 2 - 4x + 3.

Answers

Subtracting the polynomials, 2x² - 6x - 4 from 4x² - 4x + 3 will give 2x² + 2x + 7

How to subtract polynomials?

Polynomials can have constants, variables and exponents, but never division by a variable.

Let's do the arithmetic of the polynomial.

4x² - 4x + 3 - (2x² - 6x - 4)

Therefore, let's open the bracket with the operator

4x² - 4x + 3  - 2x² + 6x + 4

let's combine the like terms

4x² - 2x²- 4x + 6x + 3 + 4

Therefore,

2x² + 2x + 7

learn more on polynomial here: brainly.com/question/4216386

#SPJ2

x subtracted from y means y-x
(4x^2-4x+3)-(2x^2-6x-4)
4x^2-4x+3-2x^2+6x+4
4x^2-2x^2-4x+6x+3+4=
2x^2+2x+7

Complete each ordered pair so that it is a solution of the given linear equation. x minus 5 y equals negative 3​; left parenthesis comma 1 right parenthesis comma left parenthesis 7 comma right parenthesis

Answers

Answer: The ordered pairs are (2,1) and (7,2).

Step-by-step explanation:

Since we have given that

x-5y=-3

if y=1

we get that

x-5y=-3\n\nx-5(1)=-3\n\nx-5=-3\n\nx=-3+5\n\nx=2

If x= 7, we get that

x-5y=-3\n\n7-5y=-3\n\n-5y=-3-7\n\n-5y=-10\n\ny=(10)/(5)\n\ny=2

So, the ordered pairs are (2,1) and (7,2).

How much will Julia pay in all for the headphones after sales tax is included? Round to the nearest cent if necessary.

Answers

Answer:

If we knew how much the headphones were and tax was it would be easy but there's no information to solve this.

Let f be a function of two variables that has continuous partial derivatives and consider the pointsA(8, 9),

B(10, 9),

C(8, 10),

and

D(11, 13).

The directional derivative of f at A in the direction of the vector AB is 9 and the directional derivative at A in the direction of

AC is 2. Find the directional derivative of f at A in the direction of the vector AD.

(Round your answer to two decimal places.)

Answers

Answer:

The directional derivative of f at A in the direction of \vec{u} AD is 7.

Step-by-step explanation:

Step 1:

Directional of a function f in direction of the unit vector \vec{u}=(a,b) is denoted by D\vec{u}f(x,y),

D\vec{u}f(x,y)=f_(x)\left ( x ,y\right ).a+f_(y)(x,y).b.

Now the given points are

A(8,9),B(10,9),C(8,10) and D(11,13),

Step 2:

The vectors are given as

AB = (10-8, 9-9),the direction is

\vec{u}_(AB) = (AB)/(\left \| AB \right \|)=(1,0)

AC=(8-8,10-9), the direction is

\vec{u}_(AC) = (AC)/(\left \| AC \right \|)=(0,1)

AC=(11-8,13-9), the direction is

\vec{u}_(AD) = (AD)/(\left \| AD \right \|)=\left ((3)/(5),(4)/(5)  \right )

Step 3:

The given directional derivative of f at A \vec{u}_(AB) is 9,

D\vec{u}_(AB)f=f_(x) \cdot 1 + f_(y)\cdot 0\nf_(x) =9

The given directional derivative of f at A \vec{u}_(AC) is 2,

D\vec{u}_(AB)f=f_(x) \cdot 0 + f_(y)\cdot 1\nf_(y) =2

The given directional derivative of f at A \vec{u}_(AD) is

D\vec{u}_(AD)f=f_(x) \cdot (3)/(5) + f_(y)\cdot (4)/(5)

D\vec{u}_(AD)f=9 \cdot (3)/(5) + 2\cdot (4)/(5)

D\vec{u}_(AD)f= (27+8)/(5) =7

The directional derivative of f at A in the direction of  \vec{u}_(AD) is  7.

A tortoise is walking in the desert. It walks at a speed of 7
meters per minute for
17.5
meters. For how many minutes does it walk?

Answers

It walks for 2.5 mins.
The turtle walks for a total of 122.5 minutes.

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!What is the remainder when you divide 4x^3 - 5x^2 + 3x - 1 by x - 2?

Answers

Answer:   D) 17

Step-by-step explanation:

You can use long division or synthetic division.  I am going to use synthetic division.

x - 2 = 0   →  x = 2

2\ |\ 4\quad -5\quad 3\quad -1\n.\ \ |\underline{\ \downarrow \qquad 8\quad 6\ \quad 18\ }\n.\quad 4\ \qquad 3\quad 9\quad \boxed{17}\quad \leftarrow remainder