A pool supply company sells 50-pound buckets of chlorine tablets. A customer believes that the company may be underfilling the buckets. To investigate, an inspector is hired. The inspector randomly selects 30 of these buckets of chlorine tablets and weighs the contents of each bucket. The sample mean is 49.4 pounds with a standard deviation of 1.2 pounds. The inspector would like to know if this provides convincing evidence that the true mean weight of the chlorine tablets in the 50-pound buckets is less than 50 pounds, so he plans to test the hypotheses H0: μ = 50 versus Ha: μ < 50, where μ = the true mean weight of all 50-pound buckets of chlorine tablets. Are the conditions for inference met?

No, the random condition is not met.
No, the 10% condition is not met.
No, the Normal/large sample condition is not met.
Yes, all conditions for inference are met.

Answer:

70p

Step-by-step explanation:

Amy-

£2.00 - £0.15 = £1.85

so Amy payed £1.85

Tina-

£5.00 - £2.45 = £2.55

so Tina payed £2.55

£2.55 - £1.85 = £0.70

which means tina payed 70p more

Answer: x = 5, y = 7

Step-by-step explanation:

First, put the variables together/rearrange:

y - x = 2 & 5x - 4y = -3

Cancel out variable x by multiply the first equation by 5:

5y - 5x = 10 & 5x - 4y = -3

Add equations:

y = 7

Then determine x by plugging y back into the first equation y = x + 2:

x = 5

Answer:

(2,11 2/3)  or (2,(35/3))

Step-by-step explanation:

5x-3y=-25

For x = 2:  

5(2)-3y=-25

10-3y=-25

-3y=-35

y = (35/3) or 11 2/3

(2,11 2/3)

Answer:

X = -2

Y= 5

You use:

5x-3(5)=-25

and

5(-2)-3y=-25

Answer:

41 ≤ x

x ≤ 45

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

a^2 + b^2 = c^2

in this case 24 is a and 30 is c

24^2 = 576

30^2 = 900

900 - 576 = 324

the square root of 324 is 18

Answer:

see attached graph

Step-by-step explanation:

Given equation:  [tex]y=x^2-4x+3[/tex]

Standard form of a quadratic equation: [tex]y=ax^2+bx+c[/tex]

where [tex]c[/tex] is the y-intercept

If [tex]a > 0[/tex] then the parabola opens upwards.

If [tex]a < 0[/tex] then the parabola opens downwards.

Therefore, the y-intercept of the graph is (0, 3)

To find the x-intercepts, factor the equation:

       [tex]y=x^2-4x+3[/tex]

[tex]\implies y=x^2-x-3x+3[/tex]

[tex]\implies y=x(x-1)-3(x-1)[/tex]

[tex]\implies y=(x-3)(x-1)[/tex]

Therefore, the x-intercepts of the graph are (3, 0) and (1, 0)

To determine the vertex, differentiate the equation:

[tex]\implies \dfrac{dy}{dx}=2x-4[/tex]

Set to zero and solve for x:

[tex]2x-4=0 \implies x=2[/tex]

Substitute [tex]x=2[/tex] into the original equation and solve for y:

[tex]\implies y=(2)^2-4(2)+3=-1[/tex]

Therefore, the vertex (or turning point) is at (2, -1)

Answer:

Step-by-step explanation:

Calculate the area of the larger and smaller rectangle and subtract the smaller from the larger.

The formula of an area of a rectangle a x b:

A = a · b

Smaller rectangle 5 x 7:

As = 5 · 7 = 35

Larger rectangle (2 + 5) x (7 + 3) → 7 x 10:

Al = 7 · 10 = 70

The area of the shaded region:

A = Al - As

substitute:

A = 70 - 35 = 35

Answer:

1 1/2 (mixed)

3/2 (improper)

Step-by-step explanation:

When the one is put to the side, you get 5/10 if you turn "0.5" into a frsaction. if you simplify 5/10, you get 1/2. Therefore, 1 1/2 is your answer. Your not done yet! After, you need to change 1 1/2 into a improper fraction which is 3/2.

good luck :)

3/2

is the answer to this question

Answer:

Step-by-step explanation:

The area of the rhombus is half the product of its diagonals

[tex]area \: of \: rectangle \\= 4 \times area \: of \:identical \: triangle[/tex]

[tex]area \: of \: rectangle =\\ 4 \times area \: of \:identical \: triangle[/tex]

[tex]48 {in}^{2} = 4 \times \frac{1}{2} \times base \times height \\ 48 {in}^{2} = 2 \times base \times height \\ \frac{48}{2} = 8 \times height \\ \frac{ \cancel{48} {}^{ \: \: 24} }{ \cancel{2}} = 8 \times height \\ \frac{24}{8} = height \\ \frac{ \cancel{24} {}^{ \: \: 3} }{ \cancel{8}} = height \: \\ height = x = 3in \: [/tex]

Answer:

1.6 × [tex]10^{10}[/tex]

Step-by-step explanation:

( 4 × [tex]10^{5}[/tex] )( 4 × [tex]10^{4}[/tex] ) = ( 4 · 4 ) × ( [tex]10^{5}[/tex] · [tex]10^{4}[/tex] ) = 16 × [tex]10^{4+5}[/tex] = ( 1.6 × [tex]10^{1}[/tex] ) × [tex]10^{9}[/tex] = 1.6 × [tex]10^{10}[/tex]

Answer:

5/12

is the correct answer

see my question and come there now females

Step-by-step explanation:

Goal: illustrates radius, diameter, chord, center, arc, central angle, and

inscribed angle.

Role: Garden Designer/Landscape Architect

Audience: Math Teacher

Situation: A certified plantita and backyard owner plans to have a unique

garden. As a Landscape Architect, you are asked to make a sample layout of

a circular garden. She asks you to include the following on her garden:

● well

● pond

● bridge

● fountain

● walkways

● benches or chairs

● entrance and exit gates.

● trees, ornamental plants, and herbs

Procedure:

1. Draw a circle.

2. Conceptualize a circular garden and layout using the specified

items mentioned above.

What I Can Do

9

DISCIPLINE • GOOD TASTE • EXCELLENCE

3. Label the parts of circle formed on the garden layout

Please I'm looking for a serious answer. I need to pass this on monday. Thank you.

Answer:

116 degrees

Step-by-step explanation:

the shape is 360 degrees in total

64+64 = 128

360-128 = 232

232/2 = 116

this a a joke...

haha goodbye

Answer:6 inches

Step-by-step explanation:

Step-by-step explanation:

a. Area of a circle = πr², where r means radius.

Step 1: converted diameter to radius.

diameter = 2 radius

In other way of writing, radius = [tex]\frac{1}{2}[/tex] diameter.

Step 2: substitute radius into the formula.

Area of a circle = π([tex]\frac{1}{2}[/tex]d)²

Step 3: substitute π into the formula.

some question is given the value of π), if not substitute 3.14 for π.

Area of a circle = 3.14([tex]\frac{1}{2}[/tex]d)²

Step 4: substitute d into the formula, then we can solve its area.

b. a. Circumference of a circle = 2πr, where r means radius.

Step 1: converted diameter to radius.

diameter = 2 radius

In other way of writing, radius = [tex]\frac{1}{2}[/tex] diameter.

Step 2: substitute radius into the formula.

C = 2π([tex]\frac{1}{2}[/tex]d)

Step 3: substitute π into the formula.

some question is given the value of π), if not substitute 3.14 for π.

C = 2(3.14)([tex]\frac{1}{2}[/tex]d)

Step 4: substitute d into the formula, then we can solve its circumference.

Answer:

-200 =p

Step-by-step explanation:

-40 = -5p

5         5

_______

-200 = p

The statement second and statment third are the reason that method used might be biased.

It is given that Adam gives a survey postcard to every twentieth student that enters the building.

It is required to find the statement why the method used to be biased.

The sample size is nothing but the number of observations in an activity or participants generally it is represented by the small letter 'n'.

Adam gives a survey postcard to every twentieth student, not every student that enters the building.

It means asking every twentieth student does not represent the student population.

Also, the opinions of students at one high school do not exactly reflect the opinions of students at other high schools.

Students that take the time to fill out the survey and send it in are likely passionate about hot lunches.

Thus, the statement second and statment third are the reason that method used might be biased.

Learn more about the biased sample here:

https://brainly.com/question/26962814

Answer:

B and C

Step-by-step explanation:

Answer:

Step-by-step explanation:

The fraction of her collection that is 21pennies is 56

Given the fraction for Puja's collection expressed as 3/8

Leet x be the  fraction of her collection which is 6 pennies, to have;

x of 3/8 = 6

3x/8 = 6

3x = 48

x = 16

Hence the fraction of her collection that is 6pennies is 16

Let y be the  fraction of her collection which is 21 pennies, to have;

x of 3/8 = 21

3x/8 = 21

x = 56

Hence the fraction of her collection that is 21pennies is 56

Learn more on ratio and proportions here: https://brainly.com/question/19994681

Answer:

C) 42 square cm

Step-by-step explanation:

each rectangle 2x3 = 6

each square 3x3 =9

4 rectangles 4x6 = 24

2 squares     2x9=18

24+18 = 42

Answer:

(x-5;y+6)

Step-by-step explanation:

1) the difference between the coordinates before translation and after the translation is*: Δx=-5; Δy=+6, then

2) the rule of the translation is: (x-5;y+6).

* for example, the red dot. The difference for X is: -2-3=-5. The difference for Y is: 2--4=+6.

Based on the definition of the diagonals of a rhombus, m∠AED = 90°.

A rhombus has two diagonals that bisect each other at right angles, that is they are perpendicular to each other.

Angle 90 is formed at the intersection of the two diagonals of a rhombus.

In rhombus ABCD, ∠AED is formed at the intersection of the diagonals of the rhombus.

Therefore, based on the definition of the diagonals of a rhombus, m∠AED = 90°.

Learn more about diagonals of a rhombus on:

https://brainly.com/question/20627264

The place values in 5.6 and 1.78 are the positions of the digits in the numbers

In a number, the non-zero digit at the left-most position is the greatest place value

This means that:

The greatest place value in 5.6 is 5 (i.e. ones place)

The greatest place value in 1.78 is 1 (i.e. ones place)

So, we can conclude that the largest place value common in 5.6 and 1.78 is the ones place

Hence, Nichole is correct

Read more about place values at:

https://brainly.com/question/12386995

[tex]\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]

we're given that Angela formerly had 8 computer games.

★ She got 3 more video games on her birthday.

★ Then she gave away 4 video games.

_____________________________

_____________________________

[tex]\huge\red{ Solution -}[/tex]

[tex]8 + 3 - 4 \\ \dashrightarrow \: 11 - 4 \\ \dashrightarrow \: 7[/tex]

hope helpful :D

Answer:

The answer would be 20.97273616 or (rounded to the nearest cent) would be $20.97

Step-by-step explanation:

The reason for this is that the formula for compounded interest is [tex]A=P(1+\frac{r}{n})^\frac{t}{n}[/tex] where A is the total amount, P is the initial amount, r is the growth factor or the percent, n is the number of compounding periods, and t is the time. You would substitute P for 16, r for 0.14 (14%), n for 2 as it compounded semiannually so it for every 6 months instead of 1 year (annual) so is compounded 2 times per year, and t for 2. And just solve the equation and you get that A is equal to 20.97273616 but since we are talking about money( only round if asked) then it would be 20.97.

Hope this helps!!!!  

[tex]======================================[/tex]

Negative numbers are always less than positive ones.

Do you remember the symbol for "less than"? That's right, "<" :)

Hence,

-6<3

Because

-6 is negative (the - sign tells us that)

3 is positive

[tex]===================================[/tex]

~DiamondS~

Answer:

  (c)  -0.9682

Step-by-step explanation:

In quadrant II, the cosine is negative. Solving the given equation for the cosine gives ...

  sin²(A) +cos²(A) = 1

  cos²(A) = 1 -sin²(A)

  cos(A) = -√(1 -sin²(A)) = -√(1 -(1/4)²) = -√(15/16) ≈ -0.9682

_____

The coordinates of a point on the unit circle are (cos(α), sin(α)). The attachment shows the point on the unit circle where sin(A)=1/4 in quadrant II. The x-coordinate is the cosine of the angle, about -0.97.

Answer:

9

Step-by-step explanation:

y= mx+b

m is slope

b is y-int

Step-by-step explanation:

e.g. 452 and 397

but also e.g. 448 and 429