2) Of 1,300 accidents involving drivers aged 21 to 30, 450 were driving under the influence. Of 870 accidents involving drivers aged 31 and older, 185 were driving under the influence. Construct a 99%
Answers
The 99% confidence interval for the difference between the proportion of accidents in which drivers aged 21 to 30 were driving under the influence of alcohol or drugs, and the proportion of accidents in which drivers aged 31 and older were driving under the influence of alcohol or drugs is (0.08609, 0.18111).
We are required to construct a 99% confidence interval for the difference between the proportion of accidents in which drivers aged 21 to 30 were driving under the influence of alcohol or drugs, and the proportion of accidents in which drivers aged 31 and older were driving under the influence of alcohol or drugs. Using the formula, CI = (p1 - p2) ± z√((p1q1/n1) + (p2q2/n2)),Where p1, p2 are the sample proportions, q1 and q2 are the respective sample proportions of drivers who were not driving under the influence of alcohol or drugs, n1 and n2 are the respective sample sizes, and z is the z-value corresponding to a 99% confidence interval. Let's find the sample proportions:p1 = 450/1300 = 0.3462 (drivers aged 21 to 30)q1 = 1 - p1 = 0.6538p2 = 185/870 = 0.2126 (drivers aged 31 and older)q2 = 1 - p2 = 0.7874Now, let's substitute these values in the above formula, CI = (0.3462 - 0.2126) ± z√((0.3462 x 0.6538/1300) + (0.2126 x 0.7874/870))CI = 0.1336 ± z√(0.00017966 + 0.00016208)CI = 0.1336 ± z√0.00034174CI = 0.1336 ± z(0.01847)To find z, we need to look up the z-value for a 99% confidence interval in the z-table. The z-value for a 99% confidence interval is 2.576. Therefore, CI = 0.1336 ± 2.576(0.01847)CI = 0.1336 ± 0.04751CI = (0.08609, 0.18111)T
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Related Questions
Occasionally, & random sample of three packages of Skittles Is selected from the output and weighed, to be sure that the manufacturing process is under control. Here are data on five such samples Measurements are in ounces: Sample Measurements 3.61 3.58 3.62 3.65 3.62 3.49 3.56 3.58 43.67 3.49 3.65 3.45 3.64 3.54 3.61 What is average of the sample ranges for the weight of packages of Skittles? Select one: 0.16 b. 0.06 c.0.10 none of the above e.0.11
Answers
The average of the sample ranges for the weight of packages of Skittles is 0.11. So, the correct answer is (e) 0.11.
To find the average of the sample ranges for the weight of packages of Skittles, we first calculate the range for each sample. The range is the difference between the maximum and minimum values in each sample.
Sample 1: Range\(= 3.62 - 3.58 = 0.04\)
Sample 2: Range\(= 3.65 - 3.49 = 0.16\)
Sample 3: Range \(= 3.65 - 3.45 = 0.20\)
Sample 4: Range \(= 3.64 - 3.54 = 0.10\)
Sample 5: Range\(= 3.62 - 3.49 = 0.13\)
Next, we calculate the average of these sample ranges:
A\(verage = (0.04 + 0.16 + 0.20 + 0.10 + 0.13) / 5 = 0.11\)
Therefore, the average of the sample ranges for the weight of packages of Skittles is \(0.11\). So, the correct answer is (e) \(0.11.\)
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D C с Determine the area of the rectangular ABCD with AB=5cm and BC=3cm. A 5cm B 3 ст. C С D
Answers
Answer:
15cm2
Step-by-step explanation:
Area of rectangle = l×b
l=5cm, b=3cm
Area= 5×3 =15cm2
Problem
Point A located at (-1,-5) is dilated
by a scale factor of 6. What is the
location of A'?
Answers
Answer:
78
Step-by-step explanation:
What is 40% of 60????
Answers
Answer: 40% of 60 = 24
Select the correct answer.
which number is the additive Inverse of –10 1/4
A. 10 1/4
B. -4 1/10
C 0
D 4/41
HELP FAST!!!
Answers
Answer:
is 0
Step-by-step explanation:
Answer:
A 10 1/4
Step-by-step explanation:
for the inverse of a fraction you just take away the -.
3 siblings are weeding a flower bed with an erea of 9 square yards. If they share the job equally, how many square yards of the flower bed will each child need to weed?
Answers
Answer:
2 1/4 square yards
Step-by-step explanation:
We have been given that Matthew and his 3 siblings are weeding a flower bed with an area of 9 square yards.
All person weeding flower bed: .
To find the area in square yards weeded by each child, we will divide total area of flower bed by 4.
Therefore, each child weeded square yards of flower bed.
Answer:
I believe it's going to be2 1/4 square feet
Which expressions represent the derivative of the function y = f(x) ? Select all that apply. lim X-0 f(x + h) - f(x) h dy dx l'(x) O S(x) + f(h) xth dh dx lim 10 f(x) + f(h) x+h O f(x + h) - f(x) h lim 1-0 F(x +h)-f(x) h
Answers
The expressions that represent the derivative of the function y = f(x) are dy/dx, l'(x), and lim h->0 [f(x+h) - f(x)]/h. These expressions show the rate of change of y with respect to x at any given point on the function.
The other expressions, such as S(x) + f(h), xth dh/dx, lim 10 f(x) + f(h) x+h, and lim 1-0 F(x +h)-f(x)/h, are not equivalent to the derivative of the function. It is important to understand and use the correct expressions for the derivative in order to accurately analyze and interpret the behavior of a given function.
The expressions that represent the derivative of the function y = f(x) are:
1. lim (x→0) [f(x + h) - f(x)] / h
2. dy/dx
3. f'(x)
4. dh/dx
These expressions are used to describe the rate of change of the function y = f(x) with respect to the variable x. They can be used to find the slope of the tangent line to the curve at any given point or to analyze the behavior of the function.
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the following argument purports to show that every real number in the interval [0,00) is rational: "Suppose toward a contradiction that there exists a real number in the interval [0,00) that is not rational. So the set A:= {2 € (0,0): 2¢} is non-empty. Then by the Wellordering Principle, there is a smallest element of A, which we'll denote by 7. Now 0, being an integer, is also rational, so i cannot be 0. Hence, since ī> 0 by virtue of its membership in A, it follows that I >0. Let z:=/2, and note that 0 0). Since z <ī and ī is the smallest element of A, it follows that z ¢ A. Since z is a real number in the interval [0, 0), and 2 & A, it follows from the definition of the set A that z is rational. Then I = 2z is rational too, since the rationals are closed under multiplication. Hence i is rational, which contradicts the fact that I e A." Briefly in one sentence) explain what the MAJOR problem is in the passage above. Don't just say that there are non-rational real numbers or give an example of a non-rational real number (we all know that "every real number in [0,00) is rational" is false; I want you to point out exactly where the purported proof of it goes awry).
Answers
The major problem in the passage is that it assumes the existence of a smallest element in the set A, which is not true for all non-empty subsets of the real numbers .a real number is a number that can be used to measure a continuous one-dimensional quantity such as a distance, duration or temperature. Here, continuous means that pairs of values can have arbitrarily small differences. Every real number can be almost uniquely represented by an infinite decimal expansion.
The real numbers are fundamental in calculus (and more generally in all mathematics), in particular by their role in the classical definitions of limits, continuity and derivatives. Real intervals play an important role in the theory of integration, because they are the simplest sets whose "length" (or "measure" or "size") is easy to define. The concept of measure can then be extended to more complicated sets of real numbers, leading to the Borel measure and eventually to the Lebesgue measure.
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How do you combine like terms with distributive property?
Answers
12(x-2) + 3x = 1/3(x+12) + 10x step by step solve plz
Answers
Answer:
\(12(x - 2) + 3x = \frac{1}{3} (x + 12) + 10x \\ 12x - 24 + 3x = \frac{x}{3} + \frac{12}{3} + 10x \\ 12x - 24 + 3x = \frac{x}{3} + 4 + 10x \\ 12x + 3x - \frac{x}{3} - 10x = 4 + 24 \\ 5x - \frac{x}{3} = 28 \\ \frac{15x - x}{3} = 28 \\ \frac{14x}{3} = 28 \\ 14x = 28 \times 3 \\ 14x = 84 \\ x = \frac{84}{14} \\ x = 6\)
Good luck .
PLEASE HELP!!!!!!!!!!!!!!!
Answers
Answer:
The red represents f(x) and blue represents g(x).
good luck, i hope this helps :)
A tree planted today has a height of 5 feet and grows one foot each month.
Is the height of the tree a function of the number of months? If so, is it a linear or a nonlinear function?
A. Yes, it's a linear function
B. Yes, it's a nonlinear function
C. No
Answers
Answer:
Liner function
x = 5 + n
Step-by-step explanation:
Given:
Height of tree = 5 ft
Grow per month = 1 ft
Find:
Equation:
Computation:
Assume;
New height of tree x
Number of month = n
x = 5 + 1(n)
x = 5 + n
solve the inequality and explain how
thank you :)
Answers
Answer:
the answer is A
\(x + 7 > 3\)
Will GIVE BRAINLIEST TO CORRECT ANSWER
Find the measure of 23 if m 1= 23º.
Answers
Answer:
1=23, 2=157, 3=23
Step-by-step explanation:
1 is alternate to 3 so if 1 is 23 then 3 is also 23 . as you know angles on a straight line add up to 180° and 2 and 3 are angles on a straight line. so subtract 23 from 180 to get 157°
NEED HELP ASAP EASY 10 POINTS
Answers
Answer:
2x+3
Step-by-step explanation:
factor into \((2x+3)^{2}\)
then square root it \(\sqrt{(2x+3)^{2} }\)
We know that,
\({ \longrightarrow \bf \qquad \: {(a + b)}^{2} = {a}^{2} + 2.a.b + {b}^{2} }\)
Solution :
\({ \longrightarrow \sf \qquad \: {4x}^{2} + 12x + 9 }\)
We can also write it as,
\({ \longrightarrow \sf \qquad \: {4x}^{2} + 12x + {3}^{2} }\)
Now, using the formula, we'll solve the expression.
\({ \longrightarrow \sf \qquad \: {2x}^{2} + 2.2x.3 + {3}^{2} }\)
\({ \longrightarrow \sf \qquad \: (2x + 3)^{2} }\)
Since,
Area = (side)²Therefore,
The Length of one side is (2x + 3) .1. *
Raven is asked to check the answer to the
multiplication problem below. Which number
sentence could she use to check her answer?
23 X 452 = 10,396
Answers
Answer:
Her multiplication
Step-by-step explanation:
Not really an aexplanation
Rectangle EFGH is translated according to the rule T–5, 9(x, y). If the coordinates of the pre-image of point H are (–2, –3), what are the coordinates of H'?
(7, –8)
(–7, 6)
(3, –12)
(2, 1)
Answers
Answer:
2,1
Step-by-step explanation:
T-5 .9(×,y)
-2,-3
=2,1
Answer:
D
Step-by-step explanation:
Could someone help me with 5 and 6?
Answers
Answer:
5: A
6: B
Step-by-step explanation:
Is 27.6 a rational number
Answers
Answer:
27.6 is a rational number
Step-by-step explanation:
A rational number is any number that can be expressed as a fraction. Since 27.6 Since 27.6 can be expressed as 276/10 or 138/3, 27.6 is a rational number.
If this answer helped you, please leave a thanks or a Brainliest!!!
Have a GREAT day!!!
Solve for p.
5=4p−13
p=72
p = 4
p = 7
p = 64
Answers
Answer:
p=4
Step-by-step explanation:
5=4p-13
5+13=4p
18=4p
18/4=p
4.5=p
Hey there!
5 = 4p - 13
4p - 13 = 5
ADD 13 to BOTH SIDES
4p - 13 + 13 = 5 + 13
CANCEL out: -13 + 13 because it give you 0
KEEP: 5 + 13 because it help solve for the p-value
NEW EQUATION: 4p = 5 + 13
SIMPLIFY IT!
4p = 18
DIVIDE 4 to BOTH SIDES
4p/4 = 18/4
CANCEL out: 4/4 because it give you 1
KEEP: 18/4 because it help solve for the p-value
NEW EQUATION: p = 18/4
SIMPLIFY IT or REDUCE IT!
p = 9/2
Therefore, your answer is: p = 9/2
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Marco has two bags of candy. One bag contains three red lollipops and
2 green lollipops. The other bag contains four purple lollipops and five blue
lollipops. One piece of candy is drawn from each bag. What is the probability
of choosing a green lollipop and a purple lollipop?
Answers
The value of the probability of choosing a green lollipop and a purple lollipop is, 8 / 45
We have to given that;
One bag contains 3 red lollipops and 2 green lollipops.
And, The other bag contains four purple lollipops and five blue lollipops.
Hence, The probability of choosing a green lollipop is,
P₁ = 2 / 5
And, The probability of choosing a purple lollipop is,
P₂ = 4 / 9
Thus, The value of the probability of choosing a green lollipop and a purple lollipop is,
P = P₁ × P₂
P = 2/5 × 4/9
P = 8/45
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Mike earns $70 per day. He received a 25% increase in pay. How much money is Mike now making per day?
Answers
70 times 25/100=175
etermine whether the statement is true or false. a function can have two different horizontal asymptotes.
Answers
The statement is false. A function can have at most one horizontal asymptote.
A horizontal asymptote is a line that a function approaches as the input values become very large (positive or negative). A function can approach the same horizontal line from both sides as the input values approach infinity, which gives us a single horizontal asymptote. However, a function cannot approach two different horizontal lines as the input values become very large because that would mean it is behaving in two different ways at infinity, which is not possible. Therefore, a function can only have one horizontal asymptote, if it has any at all.
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IS ANYONE GOOD AT GEOMETRY AND ABLE TO HELP ME WITH A FEW PROBLEMS ? PLEASE !! I REALLY NEED THE HELP :(
Answers
Answer:
Im starting geometry!
i could try to help!
(btw im in almost 5th so i may be bad at it lol
Step-by-step explanation:
How many terms are in
Answers
Answer:
4
Step-by-step explanation:
Mrs. Torres wants to know how many students wear thelr uniforms. In order to gather data, she stands by the front door and records each student. Identify the data-gathering technique described above:
A. Observational Study
B. Randomized Experiment
C. Survey
D. All of the above
Answers
Answer:
Observational Study
Step-by-step explanation:
Because she stands by the front door and records each student
The data gathering technique used to know the number of students that wore their uniform is Observational study
What are data gathering technique?
Data gathering technique is the process of gathering, measuring, and analysing accurate data from a variety of relevant sources.
There are several procedure of acquiring this data, which includes the following:
Observation.Interview.Survey.Documents and record and many more.The data gathering technique used to know the number of students that wore their uniform is Observational study.
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Percy works two part-time jobs to help pay for college
At which job does Percy earn the greater hourly wage?
classes. On Monday, he works 3 hours at the library and
How much does Percy earn each hour at this job?
2 hours at the coffee cart and earns $36.50. On
Tuesday, he works 2 hours at the library and 5 hours at
a Percy earns a greater hourly wage of $7.00 at the
the coffee cart and earns $50. His hourly wage at the
library.
library, x, and hourly wage at the coffee cart, y, can be
Percy earns a greater hourly wage of $7.00 at the
determined using the system of equations below.
coffee cart.
3x + 2y = 36.50
Percy earns a greater hourly wage of $7.50 at the
library.
Percy earns a greater hourly wage of $7.50 at the
coffee cart.
2x : 5y = 50.00
Answers
Answer:
I took the exam its C
Step-by-step explanation:
Answer:the answer is C
Step-by-step explanation:
:)))
The graph below compares plant height to the age of the plant, in weeks.
A graph titled Plant Height has Weeks on the x-axis and Height (inches) on the y-axis. A line has a regression equation of y = 1.3 x minus 0.8.
Based on the graph, which is the best prediction of the height of the plant at 5 weeks?
4 inches
5 inches
6 inches
7 inches
Answers
Answer:
if you look at the graph and follow up from 5 weeks it almost hits the point 6 inches so you would say six inches the answer is 6 inches
Step-by-step explanation:
The best prediction of the height of the plant at 5 weeks is 6 inches, the correct option is C.
What is a Graph?Graph is a mathematical representation of relation between two objects.
The graph shows the comparison of the plant height to the age of the plant, in weeks.
The x axis has number of weeks.
The y axis has height in inches.
The regression equation that represent the graph is
y = 1.3x - 0.8
A regression equation is used to find the relation between the data, if there exists.
The regression equation is of the form Y = a+bX, Y is the dependent variable and X is the independent variable.
The prediction of the height of the plant at 5 weeks has to be done.
On observing the graph and drawing a straight line at x = 5 on the graph, the point at which it intersects is y ≈ 6 inches.
Your question seems incomplete, the complete question is attached with the answer.
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The point (1, -5) is an ordered pair for which function?
ƒ( x ) = 2 x - 7
ƒ( x ) = - x + 9
ƒ( x ) = 3 x - 11
Answers
Answer:
The first one.
Step-by-step explanation:
so 1 stands for x and -5 stands for y. When you plug in 1 into the equation the answer is -5. So that order pair works with that equation.
Triangle PQR has vertex coordinates at P(4, 0), Q(5, 4), R(5, 1). If the triangle is translated so that Q'(0, 4),
determine the translation direction and number of units.
O 5 units down
O5 units up
O5 units to the right
O5 units to the left
Answers
Answer:
so 5 units to the left, and maybe brainilest?
Step-by-step explanation:
The translation direction is 5 units to the left. The x-coordinate of point Q is 5 and the x-coordinate of point Q’ is 0. This means that the triangle has been translated 5 units to the left along the x-axis.