the function of, f(x), is plotted below. find the value of each expression below.Limit as x approaches 3 minusf(x) =

Limit as x approaches 3 plusf(x) =

Limit as x approaches 3f(x) =

f(3) =

Answer:

Part A

The null hypothesis H₀; The injuries and illnesses have no relationship in the weekend

The alternative hypothesis Hₐ; The injuries and illnesses occur with equal frequency on the weekend

Part B

P-value from;

Tables, 0.1 < P([tex]\chi^2[/tex] < 4.12) < 0.9

Chi-square calculator, P([tex]\chi^2[/tex] < 4.12) = 0.87

Step-by-step explanation:

The given data is presented as follows;

[tex]\begin{array}{ccc}Day&&Number\\Fri&&21\\Sat&&19\\Sun&&10\end{array}[/tex]

The significance level, α = 0.05

Part A

The hypothesis is to test that the given injuries and illnesses occur with equal frequency of the weekend

The null hypothesis H₀; The injuries and illnesses have no relationship in the weekend

The alternative hypothesis Hₐ; The injuries and illnesses occur with equal frequency on the weekend

Let the expected frequency, each day of the weekend = (21 + 19 + 10)/3 = 50/3 = 16.[tex]\overline 6[/tex]

We get;

[tex]\begin{array}{ccc}Day & Observed \ Number& Expected \ Number \\Fri&21& 16.\overline 6\\Sat&19&16.\overline 6\\Sun&10&16.\overline 6\end{array}[/tex]

The chi-square test statistics

[tex]\chi^2[/tex] = (21 - 50/3)²/(50/3) + (19 - 50/3)²/(50/3) + (10 - 50/3)²/(50/3) = 4.12

The [tex]\chi^2_u[/tex] with (3 - 1) = 2 degrees of freedom = 5.991

The decision rule, [tex]\chi^2[/tex] > 5.991, we reject the null hypothesis

Given that we have [tex]\chi^2[/tex] = 4.12 < 5.991, we fail to reject H₀, therefore, there is not enough statistical evidence to suggest that the meal plan are related at α = 0.05

Part B

From the chi-square table, we have the p-value at 2  degrees of freedom for the test statistic of 4.12 is between 0.9 and 0.1

Using the chi-square calculator, we have;

P([tex]\chi^2[/tex] < 4.12) = 0.87.

Answer:

6 + d =

Step-by-step explanation:

Sum means the expression is using addition

Sum of dogs and 6 cats = 6 + d

Answer: 90

Step-by-step explanation:

450/5 or 450 divided by 5

you can work this out by figuring out 45/5 which is 9

so 450/5 equals 90

he should read 90 pages per day

Answer:

90

Step-by-step explanation:

Because if you divide the pages into the 5 day it would be 90

450 divide by 5 = 90

Answer:

[tex]\huge\mathcal\red{here's \: your \: solution..} \\ \\ \cos = base \div hypotenuse \: \\ \\ \cos(60) = 1 \div 2 \\ \\ \cos = a \div 14 \\ \\ a \div 14 = 1 \div 2 \\ \\ a = 14 \div2 \\ \\ a = 7 \: cm \\ \\ \huge\mathfrak\green{hope \: it \: helps..}[/tex]

Answer:

common form to write the equation of a circle in is the center-radius form. The center-radius form is: (x−h)2+(y−k)2=r2 Here, the center point is denoted by (h,k) and r is the radius of the circle. The first example he does is: Find the center and radius of the circle given by the equation (x−2)2+(y+4)2=25.

Answer:

x² + y² = 16

Step-by-step explanation:

We need to write the standard equation of circle with , centre (0,0) and radius 4 unit . The Standard equation of the circle ⭕ is ,

=> ( x - h)² + (y -k)² = r²

=> ( x -0)² + (y-0)² = 4²

=> x² + y² = 16 .

• Hence the equation of the circle is x² + y² = 16.

Answer:

C.

4x – y = 7

Step-by-step explanation:

Write in standard form.

4

x

−

y

=

7

y

=

4

x

−

7

The standard form of a linear equation is  

A

x

+

B

y

=

C

.

Rewrite the equation with the sides flipped.

4

x

−

7

=

y

Move all terms containing variables to the left side of the equation.

Tap for more steps...

4

x

−

y

−

7

=

0

Add  

7

to both sides of the equation.

4

x

−

y

=

7

variable

A letter used to represent a number value in an expression or an equation.

equation

A mathematical statement that says two expressions have the same value; any number sentence with an  

=

.

Answer:

470 [tex]cm^{3}[/tex]

Step-by-step explanation:

8x9x10 = 720

5x5x10 = 250

720-420 = 470

Answer:

The change received by Judy is $ 2.69.

Step-by-step explanation:

Bill paid = $ 10

Cost of binder = $ 1.38

Cost of pack of pencils = $ 2.05

Cost of box of erasers = $ 3.88

Total cost of the school supplies = $ 1.38 + $ 2.05 + $ 3.88 = $ 7.31

The amount of change Judy received = $ 10 - $ 7.31 = $ 2.69

Answer:

The Pythagorean Theorem leads to a simple proof of the Pythagorean Identity using only the basic definitions of trig functions. The Pythagorean Theorem on a right triangle with legs a,b and hypotenuse c gives us: a2+b2=c2. Dividing through by c2 gives: (ac)2+(bc)2=1.

Answer:

Pretty sure your teacher means sin²x+cos²x=1

Step-by-step explanation:

There's the Pythagorean identity sin²x+cos²x=1 if that's what you mean

Answer:

Step-by-step explanation:

21

Answer:

Step-by-step explanation:

Answer:

this link will help

Step-by-step explanation:

Answer:

In mathematics, in the area of complex analysis, the general difference polynomials are a polynomial sequence, a certain subclass of the Sheffer polynomials, which include the Newton polynomials, Solberg's polynomials, and the Stirling interpolation polynomials as special cases.

Step-by-step explanation:

Answer:

Step-by-step explanation:

D po hehe..tiwala lang

Answer:

y= -x+5

Step-by-step explanation:

you can decide whether or not to put a 1 in front of the x, but i don't think it's necessary

i hope this helps :)

Answer:

5$

Step-by-step explanation:

20,000 / 4,000 is five or 20 / 4 = 5

Answer: 12(x-5)

Step-by-step explanation:

Answer:

35

Step-by-step explanation:

2 x 7 = 14

5 x 7 = 35

Answer:

432

Step-by-step explanation

16 x 54 is 864, half of 864 is 432, therefore Lisa has 432 seeds left. You could also do 8 x 54.

Answer:

6x+15

Step-by-step explanation:

3×2x + 3×5. use the distributive property of multiplication

Answer:

Step-by-step explanation:

1. ABCD is a parrallelogram  1. Given

2. Opposite sides of a parrallelogram are equal 2. Definition of parrallelogram

3. < D=<B     3. Definition of Parrallelogram

Step-by-step explanation:

the solution is self explanatory

Answer:

D

Step-by-step explanation:

QG=GS

x+5=2x-2

x=7

QG=7+5=12

Answer:

For 6 days,  Samantha ran less than 56/8 mile

Step-by-step explanation:

The remaining part of the question is attached

Solution

Given

As we know

56/8 can be reduced to 5 3/4

Hence, if we see the plot we can determine that Samantha  ran 6 times less than  5 3/4 miles

For 6 days,  Samantha ran less than 56/8 mile

Answer:

B

Step-by-step explanation:

Answer:

B.1593

Step-by-step explanation:

Answer:

-42

Step-by-step explanation:

Following Order of Operations, we have to multiply before subtracting, so

[tex]2-2*22[/tex]

[tex]=2-44[/tex]

[tex]=-42[/tex]

Using order of operations, we get -42.