The department of natural resources reports that a water supply does not receive a 4-star rating if the fluoride concentration is less than 4%. In this context, what is a Type I error?

Answers

Answer 1

Answer:

natural resource department does not receive a 4 star rating

Step-by-step explanation:

The type I error is also known as the 'false positive'.

It means we means we reject or make an error while the condition or the result is actually true. In other words, we can say that we are rejecting the null hypothesis but the hypothesis is actually true in all populations.

A 'false negative' is considered a type II error.

in the context, the hypothesis is concentration of fluoride in water which should be less than 4%. This is true but the department does not a 4 star rating when the concentration is less than 4% on the water supply. So this is the type I error.


Related Questions

The diameter of a circle is 75, find the circumference of the circle. Round your answer to
the nearest hundredth. (Two numbers after the decimal point).

Answers

Answer:

C ≈ 236

Step-by-step explanation:

Formula

Using the formulas

C=2πr

d=2r

Solve

Solving for C

C = πd = π· 75 ≈ 235.61945

C ≈ 235.62

To  the nearest hundredth.

C ≈ 236

Colten bought a leash for his dog that was 1 meter 40 cm long. How long was the leash in millimeters?

Answers

Answer:

400 millimeters is the answer.

Answer:

1400 millimeters.

Step-by-step explanation:

square root of 119 with work

Answers

√119 ≈ 10.908712115

Answer:

This can't really be broken down, so you would either write the answer as the question, or put it in decimal form.

So the choices would be:

[tex]\sqrt{119}[/tex] or 10.9

An engineer needs to determine the distance across a river without swimming to the other side. The engineer notices a tree on the other side of the river and suddenly has an idea.
Describe how she will sketch her idea to be able to determine the distance. Make a sketch and support you figure by number use meter as unit.

Answers

Answer:

Step-by-step explanation:

The engineer can use a clinometer to measure the angle of elevation of the top of the tree. Let the height of the tree be represented by x, the she could determine the distance across the river, d, by applying the trigonometric function.

Tan θ = [tex]\frac{opposite}{adjacent}[/tex]

           = [tex]\frac{x}{d}[/tex]

the the distance, d = x ÷ Tan θ

Assume the angle of elevation of the top of the tree is [tex]30^{o}[/tex], and the height of the tree is 10 m, then the distance, d, across the river would be;

d = [tex]\frac{10}{0.5774}[/tex]

  = 17.3190

d = 17.32 m

The sketch to the explanation is attached to this answer for more clarification.

Carrie often asks friends to play Among Us at lunch. Of the 5 games they play, Carrie wins 2 games. Consider this data:
If she keeps playing in 35 games, how many games should you expect Carrie not to win

Answers

Answer:

She'll lose 21 games out of 35. But she'll win 14 lol

All I did was see how many fives go into 35, and that's 7. So 3 (how many games she loses per 5 games) times 7 is 21.

Bryce took a quiz that consisted of true-or-false questions and multiple-choice questions. The true-or-false questions were worth 1 point each, and the multiple-choice questions were worth 2 points each. Bryce only knows that he answered 8 questions correctly and earned a total of 14 points. To determine the number of each type of question that he answered correctly, he wrote the system of linear equations x + y = 8 and x + 2 y = 14.

Which ordered pair is a solution to this system of linear equations, and what does the ordered pair represent?
(0, 8); Bryce answered 0 true-or-false questions correctly and 8 multiple-choice questions correctly.
(2, 6); Bryce answered 2 true-or-false questions correctly and 6 multiple-choice questions correctly.
(6, 2); Bryce answered 6 true-or-false questions correctly and 2 multiple-choice questions correctly.
(8, 0); Bryce answered 8 true-or-false questions correctly and 0 multiple-choice questions correctly.

Answers

Step-by-step explanation:

he answered seven of the multiple choice questions and answered one of the true or false questions that is;

7×2+1=14

The ordered pair is a solution is (2, 6).

Bryce answered 2 true-or-false questions correctly and 6 multiple-choice questions correctly.

The correct option is (B).

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

x + 2y = 14............(1)

x + y = 8

x = 8 - y.................(2)

Solving equation (1) and (2), we get

8 - y + 2y = 14

y + 8 = 14

y = 14 - 8

y = 6

and, x + y = 8

x + 6 = 8

x = 8 - 6

x = 2

Learn more about Equation here:

https://brainly.com/question/29657983

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A phone company surveys a sample of current customers to determine if they use their phones most often to text or use the Internet. They sort the data by payment plans, as shown below. Plan A: 27 text, 21 Internet Plan B: 13 text, 10 Internet Answer the questions to determine a conditional probability. How many customers are on payment plan B? customers How many of the customers on plan B text? customers What is the probability that a randomly selected customer who is on plan B uses the phone most often to text? Give the answer in fraction form.

Answers

Answer:

a=23 b=12 c=12/23

Step-by-step explanation:

I just did it on EDG, got it wrong so i could give you the answer XD

The likelihood that a randomly chosen consumer on plan B would text on the phone the most frequently is 13/23.

What is probability?

Probability is a number that expresses the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.

According to the given data,

Number of customers on plan B = 13 + 10 = 23

Number of customers on plan B who text = 13

P(text|plan B) = P(text and plan B) / P(plan B),

where P(text and plan B) is the probability of a customer being on plan B and texting, and P(plan B) is the probability of a customer being on plan B, can be used to calculate the likelihood that a randomly chosen customer on plan B will text the most.

So,

P(text|plan B) = 13/23

Therefore, the probability that a randomly selected customer who is on plan B uses the phone most often to text is 13/23.

Learn more about probability here:

https://brainly.com/question/30034780

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the dimensions of a rectangle are given in terms of X as shown below the perimeter of the rectangle is 7 3/5 units. what is the value of x​

Answers

Answer:

it is 8.65

Step-by-step explanation:

it just is but if it is wrong sorry been a while since i done this

Answer:

x=1.5

Step-by-step explanation:

Find the number of ways you can arrange (a) all of the letters and (b) two is the letters in the word ROCK. a. The number of ways you can arrange all of the letters in the word is __. b. The number of ways you can arrange two of the letters in the word is __.

Answers

Answer:

a) 24

b) 12

Step-by-step explanation:

a) For the 4 letters of the word ROCK

Selecting any first letter, we have 4 options

for the second, we have 3 options

for the third we have 2 options

for the fourth, we have only one option

So the number of ways will be ;

4 * 3 * 2 * 1 = 24 ways

b) 2 out of 4

For the first letter, we have 4 options, for the second, we have 3 options

so the number of options is 4 * 3 = 12 options

If a tank leaks 10 mL of fluid each hour, how long will it take to fill up a one-litre jar?

10 hours
1,000 hours
1 hour
100 hours

Answers

Answer:

100 hours

Step-by-step explanation:

To find the amount of liters in one hour, you divide 10 by 1000, which gives 0.01 liters each hour. From here, the 1 is in the hundredths place, so if you multiply by 100 hours, if will be at 1 liter.

Which image below is an acute triangle?

Answers

I don’t see any images but any angle measured less than 90 degrees is an acute angle

Jamal will cut a piece of wood that is 3 1/2 feet long into 1/4 foot sections. How many sections will result? plz help

Answers

Answer:

14 sections

Step-by-step explanation:

I think I'm correct but if I'm wrong tell me right away I'll try again.

Which are examples of unit rates? Check all that apply.

1. $45 per ticket
2. 5 shows every 3 weeks
3. 30 seats for every row
4. $100 for 5 tickets

Answers

it would be 100 :):):)

Lance's math quz has eight true faise questions. How many different choices for giving answers to the eight
questions are possible?

Answers

16 because there are 2 different answer choices and 8 questions, and 8x2 is 16.

Answer:

2^8 = 256 choices

Step-by-step explanation:

Patrick rosses a penny and a number cube, with faces numbered 1 through 6, at the
same time,
A. Are the events dependent or independent Explain your thinking,

Answers

The events are independent because the outcome of one does not affect the outcome of the other one.

what is the value of x? 6x−1=4x−5

Answers

X=-2
Explanation is I just know the answer

Answer:

x = -2

Step-by-step explanation:

6x - 1 = 4x - 5

Bring like terms together

6x - 4x = 1 - 5

2x = -4

-4 / 2 = -2

a mug in the shape of a cylinder has a base of with a radius of 4 cm. how many milliliters of liquid does it hold if filled to a height of 9cm?
(1 cm3 holds 1mL)​

Answers

Answer:

v= 452.2 cm^3 or 452.2 mL

Step-by-step explanation:

v= pi(r)^2h

v=pi(4)^2(9)

v=452.2 cm^3

What is the volume of the cylinder when the radius is 10 and the height is 15

Answers

volume=pir^2*h
v=pi*10^2*15
v=4712.39u^3

Answer:

V = π r^2 h = π · 10^2 · 15 ≈ 4712.38898

Ethan has partially filled the prism with 8 unit cubes.

A rectangular prism with length, height, and width of 3.
How many more cubes does he need to fill the prism completely?
10
15
19
21

Answers

Answer: is it c?

Step-by-step explanation:

Answer:

I think C is your answer.

Step-by-step explanation:

Hiii, I would love it if you can help me with this! I tried my best but it's really hard and I don't understand this.

Answers

Answer:

A

Step-by-step explanation:

82 inches! 6 feet is 72 inches. 12*6

pls help me ill give u candy

Answers

Answer:

8.9

Step-by-step explanation:

8^2+ s^2=12^2

64+s^2=144

s^2=80

s=square root of 80

s=8.9

Can I get help with this

Answers

Answer:

The correct option is;

B) -6

Step-by-step explanation:

The given parameters are;

The line of symmetry of f(x) = The line of the reflection of g(x) over the y-axis

f(x) = 3·x² + b·x + c

From the given graph of g(x), we have;

The vertex point of g(x) = (-1, 8)

The line of symmetry is the line x = -1

The image of the reflection of (x, y) over the y-axis is (-x, y)

The image of the vertex of g(x) following a reflection across the y-axis is (1, 8)

Therefore;

The line of symmetry of the image of g(x) following a reflection over the x-axis is the line x = 1

The line (axis) of symmetry of a quadratic function is the line x = -b/(2·a), which is a line that always go through the vertex of the parabola

Where;

a = The coefficient of x²

b = The coefficient of 'x'

For f(x) = 3·x² + b·x + c, a = 3, and b = b

Given that f(x) and the image of g(x) have the same line of symmetry, we have;

The line of symmetry of f(x) is x = 1

Therefore, from the formula for the line of symmetry, we have;

x = -b/(2·a)

x = 1

By substitution, we have;

1 =  -b/(2·a)

∴ -2·a = b

Given that a = 3, we get;

-2 × 3 = -6 = b

b = -6


6. Select all values of x for which f(x) = g(x).
A.0
B. 1
C.-3
D.4

Answers

The answer would be A

Please help!!!
A sculptor is planning to make two triangular prisms out of steel. The sculptor will use ABC for the bases of one prism and DEF for the bases of the other prism.
a) is ABC similar to DEF explain
b) suppose the sculptor makes both prisms with the same height. which prism will have a greater volume? how many times greater? show your work

Answers

Answer:

a) yes, they are similar

b) ΔDEF will have a greater area

1.2 times greater (which is the same proportion as 36/30)

Step-by-step explanation:

a) 40/48 = 0.8333

30/6 = 0.8333

Same ratio so they are similar

b) ΔDEF will have a greater area because EF is longer than BC.

area of ΔABC = 1/2(30)(40) = 600 cm²

area of ΔDEF = 1/2(36)(40) = 720 cm²

720/600 = 1.2 x greater

Pierre was plotting the quadratic function f(x) = - x ^ 2 + 8x for an exit ticket His work is shown below .

Answers

Answer:

(a) The table

[tex]\begin{array}{cc}x & {f(x)} & {0} & {0} & {1} & {7}& {2} & {12} & {3} & {15} & {4} & {16} & {5} &{15} & {6} & {12} & {7} &{7} & {8} & {0}\ \end{array}[/tex]

(b) See attachment for graph

(c) He swapped the values of the x and y coordinates for one another

Step-by-step explanation:

Given

See attachment for complete question

Solving (a): Complete the table

[tex]f(x) = -x^2 + 8x[/tex]

[tex]x = 0[/tex]:   [tex]f(0) = -0^2 + 8*0 = 0 + 0 = 0[/tex]

[tex]x = 1[/tex]:   [tex]f(1) = -1^2 + 8*1 = -1 + 9 = 7[/tex]

[tex]x = 2[/tex]:   [tex]f(2) = -2^2 + 8 *2 = -4 + 16 = 12[/tex]

[tex]x = 3[/tex]:   [tex]f(3) = -3^2 + 8 *3 = -9 + 24 = 15[/tex]

[tex]x = 4[/tex]:  [tex]f(4) = -4^2 + 8 *4 = -16 + 32 = 16[/tex]

[tex]x = 5[/tex]:  [tex]f(5) = -5^2 + 8 *5 = -25 + 40 = 15[/tex]

[tex]x = 6[/tex]:  [tex]f(6) = -6^2 + 8 *6 = -36 + 48 = 12[/tex]

[tex]x= 7[/tex]:  [tex]f(7) = -7^2 + 8 *7 = -49 + 56 = 7[/tex]

[tex]x = 8[/tex]:  [tex]f(8) = -8^2 + 8 *8 = -64 + 64 = 0[/tex]

So, the complete table is:

[tex]\begin{array}{cc}x & {f(x)} & {0} & {0} & {1} & {7}& {2} & {12} & {3} & {15} & {4} & {16} & {5} &{15} & {6} & {12} & {7} &{7} & {8} & {0}\ \end{array}[/tex]

Solving (b): Plot the graph

See attachment 2 for graph

Solving (c): Why he was marked as incorrect

By comparing the new attached graph (in b) and the graph of the original question, one will notice that the values of the x and y coordinates are switched.

This is why he was marked as incorrect.

Solve for x and y by using elimination. 4x - 3y = 12 x + 2y = 14​

Answers

Answer:

8x + 5y = 14

Step-by-step explanation:

2. 8.EE.1.2
The volume of a cube is 64 cubic inches.
What is the length of one edge of the cube?
A. 4 inches
B. 8 inches
C. 21 inches
D. 32 inches

Answers

2 x 32 = 64
4 x 16 = 64
8 x 8 = 64

PLZ HELP!!
Create the equation of a quadratic polynomial, in standard form, that has zeroes of -5 and 2 and which passes through the point (3,-24). ​

Answers

9514 1404 393

Answer:

  y = -3x^2 -9x +30

Step-by-step explanation:

When a polynomial has a zero at x=p, it has a factor of (x -p). The factors of your quadratic are ...

  f(x) = (x +5)(x -2)

At the point x=3, the value of this product is ...

  f(3) = (3 +5)(3 -2) = (8)(1) = 8

In order for that value to be -24, it needs to be multiplied by a scale factor of -3. The quadratic you want is ...

  y = -3(x +5)(x -2)

  y = -3x^2 -9x +30 . . . . . standard form

Complete the problem
5/10 +8/100

Answers

Answer:

0.58

Step-by-step explanation:

its 29/50 and thats in the simplified form

Solve the system of equations 3x = 84 - 2y 9x = 8y - 24

Answers

Answer:

[tex]3x = 84 - 2y - - - (i) \\ 9x = 8y - 24 - - - - (ii) \\ from \: (ii) \\ 3(3x) = 8y - 24 \\ but \: from \: (i) \: \: 3x = 84 - 2y \\ hence \: put \: (i) \: in \: (ii) \\ 3(84 - 2y) = 8y - 24 \\ 252 - 6y = 8y - 24 \\ 276 = 14y \\ y = \frac{138}{7} \\ x = \frac{104}{7} [/tex]

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