Suppose you are investigating the relationship between two variables, traffic flow and expected lead content, where traffic flow is a predictor of lead content. You find the 95% CI for expected lead content when traffic flow is 15, based on a sample of n= 10 observations, is (461.7, 598.1).

Required:
What parameter is this interval estimating?

Answers

Answer 1

Answer:

The answers is " Option B".

Step-by-step explanation:

[tex]CI=\hat{Y}\pm t_{Critical}\times S_{e}[/tex]

Where,

[tex]\hat{Y}=[/tex] predicted value of lead content when traffic flow is 15.

[tex]\to df=n-1=8-1=7[/tex]

 [tex]95\% \ CI\ is\ (463.5, 596.3) \\\\\hat{Y}=\frac{(463.5+596.3)}{2}\\\\[/tex]

     [tex]=\frac{1059.8}{2}\\\\=529.9[/tex]

Calculating thet-critical value[tex]t_{ \{\frac{\alpha}{2},\ df \}}=-2.365[/tex]

The lower predicted value [tex]=529.9-2.365(Se)[/tex]

[tex]463.5=529.9-2.365(Se)\\\\529.9-463.5=2.365(Se)\\\\66.4=2.365(Se)\\\\Se=\frac{66.4}{2.365} \\\\Se=28.076[/tex]

When [tex]99\%[/tex] of CI use as the expected lead content: [tex]\to 529.9\pm t_{0.005,7}\times 28.076 \\\\=(529.9 \pm 3.499 \times 28.076)\\\\=(529.9 \pm 98.238)\\\\=(529.9-98.238, 529.9+98.238)\\\\=(431.662, 628.138)\\\\=(431.6, 628.1)[/tex]

Suppose You Are Investigating The Relationship Between Two Variables, Traffic Flow And Expected Lead

Related Questions

Calc help!
Suppose that

f(5) = 2, f '(5) = 9, g(5) = −6, and g'(5) = 7.

Find the following values.

(fg)'(5) =

(f/g)'(5) =

(g/f)'(5)=

Answers

Answer:

(fg)'(5) = -40

(f/g)'(5) = -68/36

(g/f)'(5)= 17

Step-by-step explanation:

(fg)'(5) =

Applying the product derivative:

[tex]fg(5) = f^{\prime}(5)g(5) + g^{\prime}(5)f(5) = 9*(-6) + 7*2 = -54 + 14 = -40[/tex]

(f/g)'(5) =

Applying the quotient derivative

[tex](\frac{f}{g})^{\prime}(5) = \frac{f^{\prime}(5)g(5) - g^{\prime}(5)f(5)}{g(5)^2} = \frac{9*(-6) - 7*2}{6^2} = -\frac{68}{36}[/tex]

(g/f)'(5)=

[tex](\frac{g}{f})^{\prime}(5) = \frac{g^{\prime}(5)f(5) - f^{\prime}(5)g(5)}{f^{\prime}(5)^2} = \frac{7*2 - 9*(-6)}{2^2} = \frac{68}{4} = 17[/tex]

what is the value of x??? please help me easy math question

Answers

Answer:

x = 30

Step-by-step explanation:

The sum of the angles of a triangle is 180 degrees

60 + x+3x = 180

60 + 4x = 180

Subtract 60 from each side

60+4x-60 = 180-60

4x = 120

Divide by 4

4x/4 = 120/4

x = 30

Please Answer Correctly - Will Give Branliest & Extra Points. (links or unidentified/wrong answers will be reported and auto banned)

Answers

Answer:

Step-by-step explanation:

11 no

46+4x=90 degree(being perpendicular)

4x=90-46

x=44/4

x=11

12 no

They are complementary angles

6 no

angle B+27=180 degree(being straight line)

angle B=180-27

angle B=153

10 no

angle 38 +angle DFE=180 degree(being supplementary)

angle DFE=180-38

angle DFE=142 degree

5 no

They are vertically opposite angles.

7 no

angle AGF and angle CGD (because they have common arm and vertex)

Answer:

Solution given:

11.4x+46=90[being right angle]

4x=90-46

x=44/4

x=11

12.

Complementary angles

5.

vertical

6.

<ABD+27=180°[linear pair]

<ABD=180-27

<ABD=153° degree

10.

<DFE+38=180[being supplementary]

<DFE=180-38

<DFE=142 degrees.

7.

angle DGE and angle DGC

8.

<AGB and <AGE

A rectangular lawn has an area of 1624 square metres. Its perimeter is 170 metres. What are the dimensions of the lawn?

Answers

GIVEN

L×B = 1624. ---1)

2(L+B) = 170

(L+B) = 85

L= 85- B

Substitute value of L in eq 1)

(85-B)B = 1624

B²-85B+1624 = 0

B²-56B-29B+1624 = 0

B(B-56)-29(B-56) = 0

(B-29)(B-56) = 0

B= 29 OR B= 56

IF B = 29, L = 56

IF B = 56, L = 29

The dimension of lawn is 56×29 cm²

Suppose that a large mixing tank initially holds 500 gallons of water in which 60 pounds of salt have been dissolved. Pure water is pumped into the tank at a rate of 5 gal/min, and when the solution is well stirred, it is then pumped out at the same rate. Determine a differential equation for the amount of salt A(t) in the tank at time t > 0. What is A(0)

Answers

Answer:

The answer is "[tex]\frac{dA}{dt}+ \frac{A}{100}=0\ \ and \ \A(0)=60[/tex]"

Step-by-step explanation:

[tex]A(0)=60\\\\ \frac{dA}{dt}=Rin-Rout\\\\Rin=0\\\\Rout=\frac{A(t)}{500} \times (5)\\\\ =\frac{A}{100}\\\\ so,\\\\\frac{dA}{dt}=Rin-Rout\\\\\frac{dA}{dt}=0- \frac{A}{100}\\\\\frac{dA}{dt}+ \frac{A}{100}=0\\\\A(0)=60[/tex]

A van travels 150 miles on 6 gallons of gas. How many gallons will it need to travel 325 miles?
A.12 gallons
B.2.8 gallons
C.13 gallons
D.25 gallons

plss help no link im giving brainless i need it Asap​

Answers

Answer:  C) 13 gallons

============================================================

Work Shown:

(150 miles)/(6 gallons) = (325 miles)/(x gallons)

150/6 = 325/x

150*x = 6*325 .... see note below

150x = 1950

x = 1950/150 .... divide both sides by 150

x = 13 gallons is the final answer

-----------

Note: in this step, I cross multiplied. The general template for cross multiplication is that we go from A/B = C/D to A*D = B*C. As the name implies, the "cross" refers to the "X" shape that forms when you multiply the terms.

The base of a triangle is 2 ft. The height of hr triangle is 15 in. What is the area of he triangle in square inches.

Answers

Answer:

A=180in²

Step-by-step explanation:

b≈0.61m

h≈0.38m

Answer:

180 in

Step-by-step explanation:

since you need the answer in inches first turn the 2 feet into inches so it would be 24 inches then follow the formula...........area = (1/2) · b · h and your answer should be 180. I hope I helped :)

SOMEONE PLEASE HELP!!

Answers

Answer:

It's the first one I think

Step-by-step explanation:

Compound inequalities :A compound inequality is a sentence with two inequality statements joined either by the word “or” or by the word “and.” “And” indicates that both statements of the compound sentence are true at the same time. It is the overlap or intersection of the solution sets for the individual statements .

THE CORRECT ANSWER IS THE LAST ONE ..

Find the sum of the series if n = 6, r = 1/4, a = 2.

Answers

Given =

n=6,

r=1/4

a=2

Sn = a+ar+ar²+ar³+ar⁴+ar⁵= 2+0.5+0.125+0.03125+0.0078125+0.00195~ 2.67

You choose a letter at random from the alphabet. What is the probability you choose one of the letters in “Math”?

A. 0
B.100
C. 4/26
D. 1/13
E. 22/26

Answers

The answer is C (4/26)

Explanation:

Number of unique letters in MATH = 4
Number of letters in the alphabet = 26

P(Getting a letter from MATH) = 4/26 = 2/13

Answer:

Option c is correct one

C. 4/26

Bcz word MATH contains 4 words and total alphabet is 26

a number p divided by 22

Answers

Answer:

a number p, 14 - p

Step-by-step explanation:

What is the sum of
7 + 8J + 3,?

Answers

Answer:

8j + 10

Step-by-step explanation:

Express in simplest form: (3x^2 + 4x - 8) - (-2x^2 + 4x + 2)​

Answers

Answer:

5x² - 10

Step-by-step explanation:

Step 1:

( [tex]3x^{2}[/tex] + 4x - 8 ) - ( [tex]-2x^{2}[/tex] + 4x + 2 )   Equation

Step 2:

3x² + 4x - 8 + 2x² - 4x - 2    Open Parenthises

Answer:

5x² - 10          Simplify

Hope This Helps :)

Answer:

5x² + 10

Step-by-step explanation:

Given Equation :-

( 3x² + 4x - 8 ) - ( -2x² + 4x + 2)

Solution :-

( 3x² + 4x - 8 ) - ( -2x² + 4x + 2)

Step 1:- Remove unnecessary parantheses.

3x² + 4x - 8 + 2x ² - 4x - 2

Step 2 :- arranging like terms.

3x² + 5x² + 4x - 4x -8 - 2

Step 3 :- Calculate like terms.

5x² + 10

You roll a six-sided number cube and flip a coin. What is the probability of rolling a number greater than 4 and flipping heads? Write your answer as a fraction in simplest form.

Answers

Answer:

1/6

Step-by-step explanation:

the options greater than 4 on a six-sided dice are 5 and 6 so 2 out of the 6 options so that simplifies to 1/3 and then heads or tails for the coin is 1/2 so then multiply 1/3 times 1/2 to get the probability of those both happening and the answer is 1/6

What does it mean by And,Or in probability?

Answers

Answer:

In probability, there's a very important distinction between the words and and or. And means that the outcome has to satisfy both conditions at the same time. Or means that the outcome has to satisfy one condition, or the other condition, or both at the same time.

Step-by-step explanation:

thank me later

Find the value of x that makes m || n

Answers

Answer:

x = 23

Step-by-step explanation:

7x - 11 = 4x + 58

(7x - 4x) - 11 = (4x - 4x) + 58

3x - 11 = 58

3x (- 11 + 11) = 58 + 11

3x = 69

3x/3 = 69/3

x = 23

Find the area of the sector formed by a central angle of 45 degrees in a circle of radius 2.1
meters. Round to the hundredth.

Answers

Answer:

1.731 meters squared

Step-by-step explanation:

Look at the image for reasoning

Write a function rule for the area A(h) of a parallelogram whose base is 3 units more than its height h.

A. A(h) = h2 + 3
B. A(h) = h2 + 3h
C. A(h) = h2 + 3h + 3
D. A(h) = h + 3h

Answers

Answer:  h^2+3h   (Choice B)

===================================================

Work Shown:

height = h

base = h+3, since the base is 3 more than the height

area = base*height

area = h*(h+3)

area = h*h + h*3

area = h^2+3h

Convert.
2 mi = _ yd

Answers

Answer: 2 mi = 3520.00 yd

Answer:

2 mi= 3520 yd

Step-by-step explanation:

To convert a mile measurement to a yard measurement, multiply the length by the conversion ratio.

1 mile is equal to 1,760 yards

multiply the length value by 1760 to get your answer

2 x 1760 = 3520

You buy milk at $3.48 per gallon. One portion of oatmeal requires 5 ounces of milk. How much does the milk for one portion cost? Round to the nearest cent.

Answers

Answer: $0.1359375

Step-by-step explanation:

First and foremost, we should note that 1 gallon = 128 ounce. Therefore, $3.48 per gallon simply means $3.48 for 128 ounce. Therefore, the cost per ounce will be:

= $3.48 / 128

= $0.0271875

Therefore, the amount for the the milk for one portion cost which requires 5 ounces of milk will be:

= $0.0271875 × 5

= $0.1359375

The area of a circle is increasing at a constant rate of 279 square feet per minute. At the instant when the radius of the circle is 66 feet, what is the rate of change of the radius? Round your answer to three decimal places.

Answers

Answer:The area of a circle is increasing at a constant rate of 279 square feet per minute. At the instant when the radius of the circle is 6 feet, what is the rate of change of the radius? Round your answer Io three decimal places. 37.699 ft/min 3.701 ft/min 7.401 ft/min 2.79 ft/min

Step-by-step explanation:

What is the diameter of a hemisphere with a volume of 651 m^3, to the nearest tenth
of a meter?

Answers

Answer: 13.5 m, hope this helps :)

If the volume of the sphere is 651 m³. Then the diameter of the sphere will be 10.75 meters.

What is the volume of the sphere?

If the given sphere is of radius r units, then its volume is given as:

V = 4/3 πr³ unit³

The volume of the sphere is 651 m³.

Then the diameter of the sphere will be

We know the formula in the form of diameter.

V = 1/6 πd³ unit³

Then we have

651 = 1/6 πd³

πd³ = 3906

 d³ = 1243.31

  d = 10.75 m

Learn more about the volume of a sphere here:

https://brainly.com/question/381274

#SPJ2

Please help me I need this asap

Answers

Answer:

its b i had this same thing in classkick

Step-by-step explanation:

Do you think credit cards want customers to pay off their balances?

Answers

Answer: 12 THE ANSWER IS 12 FOR SURE

Step-by-step explanation: Did I get it right!?!??!

Credit cards are meant to use when a customer has no money, so someone the costumer might not be able to pay off their balances

(3x2+2−x3)−(−5x3+2x2+1)



Express the answer in standard form.

Enter your answer in the box.

Answers

Answer:

To write a polynomial in standard form, simplify and then arrange the terms in descending order.

ax²+bx+c

Simplify each term.

3x²+2−x³+5x³−2x²−1

Simplify by adding terms.

4x³+x²+1

Step-by-step explanation:

Use the graph of f(x) to write its equation. y! X​

Answers

Answer:

y = |x + 2|

Step-by-step explanation:

given the straight shape, it must be a linear function, but the "bend" in it indicates that an absolute value is being used.

So to start we can say: y = |x|

But that's not sufficient, as it would show that bend being at 0, 0. Instead, we need to translate it two units to the left, giving us:

y = |x + 2|

f(x) = x^2. what is g(x)?

Answers

Answer:

Option C

Step-by-step explanation:

I just graphed on my TI-84

Hope this helps!

Plz help me....
What are the coordinates of point A?

Answers

Answer:

It's 5/4 because you go by x first

Answer:

A:(5,4)

Step-by-step explanation:

Just look. at the graph.Hope this helps

21/100 = k/10 + 1 /100 what number is k?

Answers

i think that k is 2 but i may be wrong

Ct+7m. If C=5,t=2, and m=2

Answers

Answer:

24

Step-by-step explanation:

5(2) + 7(2) = 10+14 = 24

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