The health of employees is monitored by periodically weighing them in. A sample of 54 employees
has a mean weight of 183.9 lb. Assuming that o is known to be 121.2 lb, use a 0.10 significance level
to test the claim that the population mean of all such employees weights is less than 200 lb.

Traditional Method

I need to know how to do the Traditional way with a step by step because I am not understanding it at all.

Answer: it is neither

Answer:

Step-by-step explanation:

(a - b)² = a² - 2ab + b²

We have

w² - 2w = w² - 2(w)(1)

We must add 1²

w² - 2(w)(1) + 1² = (w - 1)²

The answer is ,w² - 2(w)(1) + 1² = w² - 2w + 1 = (w - 1)², the perfect square.

A perfect square is a number, from a given number system, that can be expressed as the square of a number from the same number system. Examples of Numbers that are Perfect Squares. 25 is a perfect square. 25 is a natural number, and since there is another natural number 5, such that 52 = 25, 25 is a perfect square.

Here, we have,

(a - b)² = a² - 2ab + b²

We have

w² - 2w = w² - 2(w)(1)

We must add 1²

w² - 2(w)(1) + 1² = (w - 1)²

Hence, The answer is ,w² - 2(w)(1) + 1² = w² - 2w + 1 = (w - 1)², the perfect square.

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[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{4x^2 - 16x = 0}\\\large\text{FACTOR the LEFT SIDE of the given equation.}\\\mathsf{\rightarrow 4x(x - 4) = 0}\\\large\text{After step 1 is complete, set the factors to equal to 0.}\\\mathsf{\rightarrow 4x = 0\ or\ x - 4 = 0}\\\larg\text{Lastly, you have to SIMPLIFY new equations you have now.}\\\mathsf{\rightarrow x = 0\ or\ x = 4}\\\huge\textbf{Therefore, your answer is: \boxed{\mathsf{x = 0\ or\ x = 4}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

Answer:

[tex]\frac{2x^2}{5y^2 z^2}[/tex]

Step-by-step explanation:

Answer:

$245

Step-by-step explanation:

The hourly pay that Elsa earns is 140/20 = $7 per hour

So, the total pay that Elsa will earn for 35 hours is 7*35 = $245

Answer:

(4^2) -10

16- 10

= 6

Step-by-step explanation:

the square of 4 is 16 so you'll subtract 10 from it and it will be left with 6

Solution:

To solve this problem, we will use PRT/100.

Where:

1. Converting the number of months into years.

[tex]\bullet \ \ 1 \ \text{year} = 12 \ \text{months}[/tex]

[tex]\bullet \ \ \rightarrow \text{x years = 12x months = 18 months}[/tex]

[tex]\bullet \ \ \rightarrow \frac{12x}{12} = \frac{18}{12}[/tex]

[tex]\bullet \ \ \rightarrow x = 1.5 \ \text{years}[/tex]

2. Using PRT/100:

[tex]\bullet \ \ \rightarrow \dfrac{P \times R \times T}{100}[/tex]

[tex]\bullet \ \ \rightarrow \dfrac{1900 \times 5.9 \times 1.5}{100}[/tex]

[tex]\bullet \ \ \rightarrow19 \times 5.9 \times 1.5}[/tex]

[tex]\bullet \ \ \rightarrow \boxed{\$168.15}[/tex]

Thus, the interest will be [tex]\bold{\$168.15}[/tex].

x > - 1

x ∈ ( - 1 ; + oo)

Hi there !

x + 5 > 4

x > 4 - 5

x > - 1

x ∈ ( - 1 ; + oo)

Good luck !

Answer:

28

With the mean, you have to add up the scores and subtract by the total values.

The only score number I know of is 20, so I just added up the values.

Hope this helps, let me know.

Answer:

The area of a horizontal cross section at a height is [tex]\pi\times(2-\dfrac{y}{7})^2[/tex]

Step-by-step explanation:

Given that,

Height = 14 m

Radius = 2 m

Let V be the volume of a right circular cone

We need to calculate the value of R

Using given data

[tex]\dfrac{h}{r}=\dfrac{h-y}{R}[/tex]

Put the value into the formula

[tex]\dfrac{14}{2}=\dfrac{14-y}{R}[/tex]

[tex]7R=14-y[/tex]

[tex]R=2-\dfrac{y}{7}[/tex]

We need to calculate the area of a horizontal cross section at a height y

Using formula of area

[tex]A=\pi R^2[/tex]

Put the value into the formula

[tex]A=\pi\times(2-\dfrac{y}{7})^2[/tex]

Hence, The area of a horizontal cross section at a height is [tex]\pi\times(2-\dfrac{y}{7})^2[/tex]

The area of the circular cone at height y can be derived as a function, A,

having y as the input variable.

Correct response:

[tex]Area \ of \ horizontal \ cross \ section \ at \ height \ y \ is \ \underline{ A = \pi \times \dfrac{\left(14 - y\right)^2}{7} }[/tex]

The given parameters are;

Shape of figure = Right circular cone

Height of the cone, h = 14

Base radius, R = 2

Required:

The area of a cross section at a height y using similar triangles

Solution:

We have using similar triangles;

[tex]\mathbf{\dfrac{h}{h - y} }= \dfrac{R}{r} [/tex]

Which gives;

[tex]\mathbf{\dfrac{14}{14 - y}} = \dfrac{2}{r} [/tex]

Therefore;

2·(14 - y) = 14·r

28 - 2·y = 14·r

[tex]r = \dfrac{28 - 2 \cdot y}{14} = 2 - \dfrac{y}{7} [/tex]

The horizontal cross sectional area, A = π × r²

Therefore;

[tex]Area \ of \ the \ cross \ sectional \ area,\ A = \pi \times \left(2 - \dfrac{y}{7} \right) = \underline{ \pi \times \dfrac{\left(14 - y \right)^2}{7} }[/tex]

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Answer:

1. 6

2. -8

3. -4

4. 26

Step-by-step explanation:

yk how it's done

Answer:

39

Step-by-step explanation:

Answer:

65°

Step-by-step explanation:

Sum of interior angles of a triangle = 180°

⇒ m∠EAB = 180 - 90 - 70 = 20°

⇒ m∠DAG = 90 - 45 - 20 = 25°

⇒ m∠AGD = 180 - 90 - 25 = 65°

ΔADG ≅ ΔAFG

⇒ m∠AGD = m∠AGF = 65°

ΔABE ≅ ΔAFE

⇒ m∠AEB = m∠AEF = 70°

Answer: 33.6

60 x 56 divided by 100 is 33.6

Step-by-step explanation:

[tex]3\left(x-4+1\cdot \:b\right)=8[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}3[/tex]

[tex]\frac{3\left(x-4+1\cdot \:b\right)}{3}=\frac{8}{3}[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]x-4+b=\frac{8}{3}[/tex]

[tex]\mathrm{Subtract\:}b\mathrm{\:from\:both\:sides}[/tex]

[tex]x-4+b-b=\frac{8}{3}-b[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]x-4=\frac{8}{3}-b[/tex]

[tex]\mathrm{Add\:}4\mathrm{\:to\:both\:sides}[/tex]

[tex]x-4+4=\frac{8}{3}-b+4[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]x=-b+\frac{20}{3}[/tex]

[tex]\\ \rm\Rrightarrow 3(x-4+b)=8[/tex]

[tex]\\ \rm\Rrightarrow 3x-12+3b=8[/tex]

[tex]\\ \rm\Rrightarrow 3x+3b=20[/tex]

[tex]\\ \rm\Rrightarrow x+b=20/3[/tex]

[tex]\\ \rm\Rrightarrow x=20/3-b[/tex]

Answer:

m=1/1 or just 1, b=(0,3.5) equation:y=x+3.5

Step-by-step explanation:

The pattern is as x increases by 1, so does y by the same amount, 1. This means the line is at a 45 degree angle increasing vertically and horizontally at the same pace. However, it is moved up 3.5 units in the y direction because when x=0, y=3.5

Answer:

it would be the 1st graph

Step-by-step explanation:

this is the graph when the equation is put into a ti calculator! the app i use is wabbit

and it's only available on Android. the pics should be attached! to do this yourself!

also to know without the tool is simply looking at the equation itself and seeing if a negative is in fro

nt of the equation or not which determined if the proabla is flipped or not.

the 1st term in the equation is that number positive or negative? If positive then the proabla is positive and going up, if it has a negative sign then the proabla is going down

to help more heres more examples

Answer:

135 because if you put it in a caluclator that is what you get

Answer:

55

Step-by-step explanation:

Answer:

1,600

Step-by-step explanation:

did the math and this is what i got

Answer:

f(-3)=6-2x is f(-3)=6-2(-3) this equals f(-3)=12

B f(0)=6

C f(4)= -2

Step-by-step explanation:

Bacisly you would just have to sub in the x portion of your problem. Then you can solve like normal

A function is a relationship between inputs where each input is related to exactly one output.

The value of f(-3) is 12

The value of f(0) is 6

The value of f(4) is -2

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

f(x) = 6 - 2x

Substitute x = -3, 0, and 4 on f(x).

f(-3) = 6 - 2 x (-3) = 6 + 6 = 12

f(0) = 6 - 2 x 0 = 6 - 0 = 6

f(4) = 6 - 2 x 4 = 6 - 8 = -2

The inputs are -3, 0, and 4.

The outputs are 12, 6, and -2.

Thus,

The value of f(-3) is 12

The value of f(0) is 6

The value of f(4) is -2

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Answer:

.4 o 2/5

Step-by-step explanation:

2/3 x 3/5= 6/15

6      /3

---    =       2/5

15     /3

Answer:

2/3 * 3/5 = 6/15 = 0.4

Step-by-step explanation:

Answer:

f(g(x)) = 7x + 27

Step-by-step explanation:

We have, f(x) = 7x+13 and g(x) = x+2.

So, the function f(g(x)) is obtained by substituting the function g(x) = x+2 in f(x) = 7x+13,

i.e. f(g(x)) = f(x+2)

i.e. f(g(x)) = 7 × (x+2) + 13

i.e. f(g(x)) = 7x + 14 + 13

i.e. f(g(x)) = 7x + 27

Thus, f(g(x)) = 7x + 27

Answer:

[tex]part \: a. \\ t = 300+300(13) = 300+300C = \\300 + 3,900 = 4,200 \\ t = 4,200[/tex]

[tex]part \: b. \\ 3300 = 300+300(c) \\ 3300 - 300 =300(c) \\ 3000 \div 300 = c = 10 \\ c = 10[/tex]

a.

The tuition cost for 13 credits is

= 300 + 300C

= 300 + 300 (13)

= 300 + 3900

= 4,200 dollars.

b.

And, the number of credits is

$3,300 = 300 + 300C

$3,300 - 300 = 300C

$3,000 = 300C

C = 10 credits

Therefore we can conclude that

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Answer:

The number of small bags that Lucy can use with having an even amount of can't in them is hundred and eighty six bags were each bag has two pieces of candy.

Step-by-step explanation:

372 ÷ 2 = 186

Therefore

372 ÷ 186 = 2

two candies in each bag means 186 bags of candy.

Answer:

Slope is 0

Step-by-step explanation: x stood the same so therefore the slope is 0 or infinite

Answer:

11.05$

Step-by-step explanation:

Given the wholesale price of pillow is $6.50

Price in department store is 70% more than whole sale =1.7 times the wholesale

Price in department store =1.7*6.5=$11.05