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. The conditions for inference are met. The test statistic is t = –2.74 and the P-value is between 0.005 and 0.01. What conclusion should be made at the significance level, Alpha?

Reject H0. There is convincing evidence that the true mean weight of the chlorine tablets in the 50-pound buckets is less than 50 pounds.
Reject H0. There is not convincing evidence that the true mean weight of the chlorine tablets in the 50-pound buckets is less than 50 pounds.
Fail to reject H0. There is convincing evidence that the true mean weight of the chlorine tablets in the 50-pound buckets is less than 50 pounds.
Fail to reject H0. There is not convincing evidence that the true mean weight of the chlorine tablets in the 50-pound buckets is less than 50 pounds.

Cone:

radius r = 4 inches

height h = 18 inches

volume = πr²h/3 = (3.14)(4²)(18)/3 ≈ 301.44 cm³

Cylinder:

r = 4 inches

h = 3 inches

volume = πr²h = (3.14)(4²)(3) = 904.32 cm³

Volume of cylinder is three times the volume of cone

Answer:

4.2

Step-by-step explanation:

The square root of 18 is 4.24

So, on this number line, it should go about 1 cm away from 4 to indicate that it is not 4, but 4.2.

Put the dot where you think it would be appropriate to be labled as 4.2.

Also if you didnt know the x axis is the one on the bottom.

Answer:

[tex]\displaystyle 250°[/tex]

Explanation:

When converting from radians to degrees, multiply one hundred eighty by the radian measure, then divide it pi:

[tex]\displaystyle \boxed{250°} = 1\frac{7}{18}\pi[\frac{180}{\pi}][/tex]

I am joyous to assist you at any time.

Step-by-step explanation:

What is 40% of 400?

Answer: 9.06

Step-by-step explanation:

Do; 3.02+3.02+3.02

This adds up to 9.06

x / 33 = 40 / 24

x = 40 / 24 * 33 = 55

Answer:

  (B)  $200,000

Step-by-step explanation:

The value of the simple interest account can be found using the formula ...

  A = P(1 +rt) . . . . . where P is the principal invested at rate r for t years

__

Using the given values, we find the value of the account to be ...

  A = $125,000(1 +0.04×15) = $125,000(1.6)

  A = $200,000

Katie's savings will be worth $200,000 after 15 years.

Answer:

[tex]y=0x+2[/tex]

Step-by-step explanation:

Given the following question:

Point A = (3, 2) = (x1, y1)
Point B = (-6, 2) = (x2, y2)

To write the following points in slope intercept form we first need to calculate the slope by using the formula for slope or rise over run.

[tex]m=\frac{y2-y1}{x2-x1}[/tex]
[tex]m=\frac{2-2}{-6-3} =\frac{0}{-9}[/tex]
[tex]0\div-9=0[/tex]
[tex]m=0[/tex]

Now that we have to slope, we can now write the points in slope intercept form by using the formula y = mx + b and solve for b.

[tex]y=mx+b[/tex]
[tex]y=2[/tex]
[tex]m=0[/tex]
[tex]x=3[/tex]
[tex]2=0(3)+b[/tex]
[tex]0\times3=0[/tex]
[tex]2=0+b[/tex]
[tex]2+0=2[/tex]
[tex]2=b[/tex]
[tex]b=2[/tex]
[tex]y=0x+2[/tex]

Your answer in slope intercept form is "y = 0x + 2."

Hope this helps.

Area of parallelogram is Base×height

10×18=15× x

x= 12

hope it helps

Answer:

x = 12

Step-by-step explanation:

So, area of a parallelogram is base times height.

In this picture, one of the base, height pair is 18 and 10.

18 * 10 = 180

The other base, height pair is 15 and x.

So, 15 and x should equal to 18 * 10.

Then, 15x = 180.

Divide both sides by 15, and you get 15x/15 = x and 180/15 = 12.

So, x = 12

Answer:

2 3 4 5 6 7 8 9 10

Step-by-step explanation:

even odd even odd even odd even odd even odd

First, you know that Jackson (let call her J) scored 42 more points than L (Leslie).  What we don't know is how many points L scored so we can use a variable that will be 'x'.

So the equation will be J=42+x.

We also know that the total points is 1,144.

To find out what x is we first subtract 1,144-42.  We then get 1,102.

We are now left with 2x and 1,102 so we divide 1,102 by 2 and get 551.

551=x so now we can plug that in.

J = 551 + 42

Jackson scored 593 points and Leslie scored 551 points

(You can use bar modeling to do solve this problem.  An example of bar modeling is shown below.  

Using the Empirical Rule, it is found that the lifespans, in months, are given by:

1. 24 and 32.

2. 20 and 36.

3. 16 and 40.

It states that, for a normally distributed random variable:

Hence, considering the mean of 28 months and the standard deviation of 4 months, the life spans are given by:

1. 24 and 32.

2. 20 and 36.

3. 16 and 40.

More can be learned about the Empirical Rule at https://brainly.com/question/24537145

Answer:

No.

Step-by-step explanation:

Substitute 2 for x and 8 for y in y=6x

8 = 6(2) -> 8 = 12

This is false, so (2,8) is not a solution for y=6x

Answer: x<-1

Step-by-step explanation:

The answer is A!

Answer:

See below.

Step-by-step explanation:

Solving the inequality :-

Graph A shows the solution to the inequality correctly

Answer:

3

Step-by-step explanation:

could the length of the first triangle to the length of the second triangle

Answer:

 xy

---------

x + y

Step-by-step explanation:

(xy)

-----  is in its simplest form.

(x + y)

I hope this helps!

Step-by-step explanation:

The answer is in the picture

Answer: Division Property of equality

Step-by-step explanation:

5d= 75

1. Isolate the variable and remember, if the number is next to the letter, it means to multiply.

2. Reverse PEMDAS so instead of multiplying, divide instead.

3. 75/ 5 equals 15.

d=15

Answer: d=. 15

Step-by-step explanation:

After reflection, the x-coordinates remains unchanged while the y-coordinates are negated.

The translation rule for reflecting the coordinate (x, y) over the x-axis is expressed as:

[tex](x, y) \rightarrow (x,-y)[/tex]

Given the following coordinates of the vertices from the figure J(-7, 7), K(-5, -2) and L(-2, 3)

If the coordinates ara reflected over the x-axis, the resulting coordinates will be  J(-7, -7), K(-5, 2), and L(-2, -3).

After reflection, the x-coordinates remains unchanged while the y-coordinates are negated.

Learn more on reflection here: https://brainly.com/question/26642069

Answer: 120

Step-by-step explanation:

x/6 + 5 =25, subtract 5 on both sides

-5 -5

x/6 = 20, multiply both sides by 6

6(x/6) = 20(6)

x = 120

Answer:

x = 35.20735

Step-by-step explanation:

Use tanФ = opposite/adjacent

tan58 = x/22

x = 35.20735

Percentage discount

[tex]\\ \rm\rightarrowtail \dfrac{2}{86.25}{100}[/tex]

[tex]\\ \rm\rightarrowtail 0.0232(100)[/tex]

[tex]\\ \rm\rightarrowtail 2.32\%[/tex]

Answer:

2.3% (nearest tenth)

Step-by-step explanation:

[tex]\sf percentage \ change =\dfrac{|final \ value - initial \ value|}{initial \ value} \times 100\%[/tex]

Given:

[tex]\sf \implies percentage \ change =\dfrac{|84.25-86.25|}{86.25} \times 100\%[/tex]

[tex]\sf \implies percentage \ change =\dfrac{2}{86.25} \times 100\%[/tex]

[tex]\sf \implies percentage \ change =2.3\% \ (nearest \ tenth)[/tex]

Approximate sum of the lengths of the two sidewalks, shown as dotted lines in the figure of rectangle garden is 38.2 meters.

Pythagoras theorem says that in a right angle triangle the square of hypotenuse side is equal to the sum of square of other two legs of right angle triangle.

A 15-meter by 23-meter garden is divided into two sections. In this rectangle,

Here, a vertical line is drawn from the top to bottom side to split the shape into a square and a rectangle. The length of the left side of the square will be 15 long. Thus, the lenght of its diagonal is,

[tex]d_1=15\sqrt{2}\\d_1=21.213\rm\; m[/tex]

The length of the sidewalk in smaller rectangle in the right side of figure is,

[tex]d_2=\sqrt{15^2+8^2}\\d_2=17\rm\; m[/tex]

Sum of the lengths of the two sidewalks using the pythagoras theorem is,

[tex]S=21.2+17\\S=38.2\rm\;m[/tex]

Thus, approximate sum of the lengths of the two sidewalks, shown as dotted lines in the figure of rectangle garden is 38.2 meters.

Learn more about the Pythagoras theorem here;

https://brainly.com/question/343682

Answer:

D 38.2

Step-by-step explanation:

E2020

Answer:

x=5

y=5

y = 3x - 10 -----------(1)

y=2x-5------------(2)

Step-by-step explanation:

put the value of y in 2nd equation

y=2x-5

=3x - 10=2x-5

=3x-2x=-5+10

= x=5,

now put the value of x in 1st equation.

y = 3x - 10

=y=3×5-10

=y=15-10

= y=5.

check

put the value of x and y in 1st equation.

y = 3x - 10

x=5,,y=5

=5=3×5-10

= 5=5

hope it's help you

:-befrank

Answer:

n = 17

Rule:  y = 2x + 1

Step-by-step explanation:

By inspection of the first two ordered pairs in the given table, it appears that for each 1 unit increase in x, y increases by 2 units.

To check this, write the ordered pairs with 5 ≤ x ≤ 10 using this rule:

(5, 11)  (6,13)  (7, 15)  (8, 17) (9, 19) (10, 21)

As the ordered pair (10, 21) appears in the table, then we can confirm that this is the rule and that it is a linear function.

If y increases by 2 units for every 1 unit increase of x, then the slope of the linear function will be 2.

Using the point-slope form of a linear function: [tex]\sf{y-y_1=m(x-x_1)}[/tex]

(where m is the slope and [tex]\sf(x_1,y_1)[/tex] is a point on the line)

Given:

Substituting these values into the formula:

[tex]\implies \sf{y-11=2(x-5)}[/tex]

[tex]\implies \sf y=2x+1[/tex]

Therefore, the rule is [tex]\sf y=2x+1[/tex]

To find n, simply substitute x = 8  and y = n into the equation:

[tex]\implies \sf n=2(8)+1=17[/tex]

Therefore, n = 17

Take 2 points and form equation

Slope:-

Equation in point slope form

So

for n