Thus, the interval estimate of the number of drivers under the age of 19 in 2008, together with its margin of error of 0.0245.
Explain about the confidence interval:An unknown population parameter's value is likely to be within the bounds of a confidence interval (CI), which is a range of values. Given the qualities of your sample data, these intervals reflect a likely domain for the parameter.
Confidence intervals are computed using a predetermined degree of confidence and are obtained from sample statistics.
Margin of error ME = z(α/2)√[p(1-p)/n]
confidence interval = 95%
z(α/2) value for the 95% confidence interval = 1.96 (taken from attached table)
P = 75% = 0.75
1-p = 1 - 0.75 = 0.25
n = 1200
Put the values in formula:
ME = (1.96)*√[0.75*0.25 / 1200]
ME = (1.96)*√0.00015625
ME = 0.0245
Thus, the interval estimate of the number of drivers under the age of 19 in 2008, together with its margin of error of 0.0245.
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Complete question:
Fewer young people are driving. In 1983, 87% of 19-year-olds had a driver’s license. Twenty-five years later (in 2008) that percentage had dropped to 75%. Suppose these results are based on a random sample of 1200 19-year-olds in 1983 and again in 2008. At a 95% confidence, what is the margin of error and the interval estimate of the number of 19-year-old drivers in 2008?
HELPP
giving brainliest
Answer:
4 feet 10 in
Step-by-step explanation:
58/12= 4 10/12= 4 feet 10 in
Answer:
4ft 10in
Step-by-step explanation:
58/12 = 4 10/12
What is the solution of Log Subscript x Baseline 729 = 3? 6 9 18 81.
Logarithm helps to find how much a number must be raised. The value of x in the function logₓ729=3 is 9.
What is Logarithm?A log function is a way to find how much a number must be raised in order to get the desired number.
\(a^c =b\)
can be written as
\(\rm{log_ab=c\)
where a is the base to which the power is to be raised,
b is the desired number that we want when power is to be raised,
c is the power that must be raised to a to get b.
We know the basics of logarithms, therefore, we can write,
\(\rm log_x 729 = 3\\\\x^3 = 729\\\\x = 9\)
Hence, the value of x in the function logₓ729=3 is 9.
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Answer:
9
Step-by-step explanation:
none
2. Dado un número, la suma de su mitad, su doble y su triple es 55. ¿Qué número es?
Answer:
English
Step-by-step explanation:
can you speak English plzzz
we need that
Answer:
i dont speak taco ask again in english
Step-by-step explanation:
can someone help me asap!
Answer:
B negative
Step-by-step explanation:
use real numbers?
n is +9
m is -11
m/n * (-m*n^2)
-11/9 * (11*81)
-11/1 * (11*9)
-11 * 99
-1089
John takes the bus with probability 0.3 and the subway with probability 0.7. He is late 40% of the time when he takes the bus, but only 20% of the time when he takes the subway. a) What is the probability that he is late for work
The probability that John is late for work is 0.26, or 26%.
To calculate the probability that John is late for work, we need to use the law of total probability, which states that the probability of an event can be found by considering all possible ways that the event can occur.
Let B be the event that John takes the bus, and S be the event that he takes the subway. Let L be the event that he is late for work.
We know that P(B) = 0.3, P(S) = 0.7, P(L|B) = 0.4, and P(L|S) = 0.2. We want to find P(L), the probability that John is late for work.
Using the law of total probability, we have:
P(L) = P(L|B)P(B) + P(L|S)P(S)
= 0.4 x 0.3 + 0.2 x 0.7
= 0.12 + 0.14
= 0.26
Therefore, the probability that John is late for work is 0.26, or 26%.
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28,46,25,76,18,25,47,83,44 order from least to greatest and find quartile 3 and the interquartile range
An example of a statistical measure is the quartile, which splits a set of data into four equally sized sections. When describing the distribution of data and identifying the range of values that the majority of the data falls within, quartiles are utilised.
First, let's order the given numbers in ascending order from least to greatest: 18, 25, 25, 28, 44, 46, 47, 76, 83.
Now, to find the third quartile (Q3), we need to determine the median of the upper half of the data. Since there are 9 data points, the middle number is the 5th data point, which is 44. The upper half consists of the numbers 46, 47, 76, and 83.
The third quartile (Q3) is the median of the upper half. Since there are 4 data points in the upper half, the median is the average of the 2 middle numbers (46 and 47).
Therefore, Q3 = (46 + 47) / 2 = 46.5.
Next, we need to find the first quartile (Q1), which is the median of the lower half of the data. The lower half consists of the numbers 18, 25, 25, and 28. The median of these numbers is the average of the 2 middle numbers (25 and 25). Therefore, Q1 = (25 + 25) / 2 = 25.
Finally, to find the interquartile range (IQR), we subtract Q1 from Q3: IQR = Q3 - Q1 = 46.5 - 25 = 21.5.
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\(7x+2x^{2} +8x^{2}=4x+7x^{2}\)
The solutions of the equation 7x + 2x² + 8x² = 4x + 7x² will be 0 and -1.
Given that:
Equation, 7x + 2x² + 8x² = 4x + 7x²
In other words, the collection of all feasible values for the parameters that satisfy the specified mathematical equation is the convenient storage of the bunch of equations.
Simplify the equation, then we have
7x + 2x² + 8x² = 4x + 7x²
10x² + 7x = 4x + 7x²
3x² + 3x = 0
3x(x + 1) = 0
x = 0, -1
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Find the value of the expression. Enter your answer in the box. `2+(6+1)^2-8
The value of the expression as given in the task content is; 43.
What is the value of the expression given in the task content?The value of the expression given in the task content can be determined by means of the PEMDAS rule as follows;
2 +(6+1)² -8
= 2 +7² -8
= 2 + 49 -8
= 43.
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For skewed data displays, the median is often a better estimate of the center of the distribution than the mean because A)the median can be used as a typical data value of the distribution B)the mean is still the balance point of the distribution C)the median is not significantly affected by extreme values
Answer:
c
Step-by-step explanation:
Rewrite in simplest radical form, thx :)
Answer:
The answer is
\( \sqrt[3]{ {x}^{2} } \)
Step-by-step explanation:
\( \frac{ {x}^{ \frac{5}{6} } }{ {x}^{ \frac{1}{6} } } \)
Since they have the same base and are dividing we can use the rules of indices
That's
subtract the exponents
So we have
\( {x}^{ \frac{5}{6} - \frac{1}{6} } \)
\( {x}^{ \frac{4}{6} } \)
\( = {x}^{ \frac{2}{3} } \)
Rewriting it in radical form
We have the final answer as
\( \sqrt[3]{ {x}^{2} } \)
Hope this helps you
A rectangular playground is 28m long and 15m wide. If all sides are
extended lm outward, what is the area of the enlarged playground ?
Answer:
464m^2
Step-by-step explanation:
Given data
Dimension of the regular playground
Length= 28m
Width= 15 m
We want to extend both sides by 1 m
Length= 28+1= 29m
Width= 15+1= 16m
Hence the area
Area=Length*Width
Area= 29*16
Area= 464m^2
The Area is 464m^2
Name the Property of Equality that justifies this statement:
If p = q,.
Answer:
Symmetric property
Step-by-step explanation:
Symmetric property of equality tells that for all real numbers p and q, if p=q then q=p. which means if we interchange the sides of an equation then the equation is still a true statement
Which two integers is –33 between?
Answer: 5 and 6
33 lies between 5^2 and 6^2.
Which three of the following expenses can student aid cover? tuition television school supplies parties and socializing boarding/housing.
The tuition, school supplies, and boarding/housing for the expenses can student aid cover.
What is decision-making?The process of making choice is by identifying the correct decision, gathering information, and assessing alternative solutions.
The following expenses can student aid cover.
A. Tuition - A student aid cover can be utilized to promote the tuition.
B. Television - There is no use of the student aid cover for selling the TV.
C. School supplies - We can use the face of the topper on the school supplies to promote schooling.
D. Parties and socializing - There is no need for student aid cover for parties and socializing.
E. Boarding or housing - We can use student aid cover to promote the hostel for the student.
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What is the mode of the data represented by the stem and
leaf plot above?
Hint: Use the key to determine the individual values
MODE = value appearing the most times
A 309
B 57
C 108.75
From the given stem and leaf plot, the mode of the given data is 57.
A stem and leaf plot also called a stem and leaf diagram is a way of organizing data into a form that makes it easy to observe the frequency of different types of values.
We know that, mode is value appearing the most times.
From the given graph, we can 57 is repeated thrice.
Therefore, option B is the correct answer.
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what is the probability of rolling a six sided die six times and having all numbers from 1 through 6 appear once in any order?
The final answer is that the probability of rolling a six sided die six times and having all numbers from 1 through 6 appear once in any order is 1.54.
This is calculated by probability of independent events.
We know that any die can get any of the six sides and all the throws are independent, so their intersection is given by the product.
So, P(A and B occurring together )= P(A)P(B) if A and B are independent.
And the probability of the throws i.e. the no. of ways every throw gets a unique number is (6/6) x (5/6) x (4/6) x (3/6) x (2/6) x (1/6)
This is because, being the probability of independent events , they are multiplied.
so, the total probability is 6.5.4.3.2.1/6^6 = 1.54
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a) Give an example of a polynomial P(x) of degree 5 for which x=1 is a critical number but not a local minimum, nor a local maximum. (Hint: An example of a polynomial of degree k is P(x)=(x−a)k
.)
b) Determine the intervals on which the function is decreasing and increasing and then find local minima and maxima.
f(x)=(x−2)(x+3)
c) Determine the intervals on which the function is decreasing and increasing and then find local minima and maxima.
f(x)=(x+1)(x−2)(x+3)
a) An example of a polynomial of degree 5 for which x=1 is a critical number but not a local minimum nor a local maximum is:
P(x) = (x-1)^2(x-2)(x+1)(x+3)
To see why x=1 is a critical point but not a local minimum nor a local maximum, we can compute the first and second derivatives of P(x):
P'(x) = 2(x-1)(x-2)(x+1)(x+3) + (x-1)^2(x+1)(x+3) + (x-1)^2(x-2)(x+3) + (x-1)^2(x-2)(x+1)
P''(x) = 2(x-2)(x+1)(x+3) + 2(x-1)(x+1)(x+3) + 2(x-1)(x-2)(x+3) + 2(x-1)(x-2)(x+1) + 4(x-1)(x-2)(x+1)(x+3)
We can see that P'(1) = 0, so x=1 is a critical point. To determine whether it's a local minimum or maximum, we need to look at the sign of P''(1). However, computing P''(1) gives us:
P''(1) = 2(1-2)(1+1)(1+3) + 2(1-1)(1+1)(1+3) + 2(1-1)(1-2)(1+3) + 2(1-1)(1-2)(1+1) + 4(1-1)(1-2)(1+1)(1+3) = 16
Since P''(1) is positive, we know that x=1 is not a local maximum or a local minimum, but rather an inflection point.
b) To determine the intervals on which f(x) = (x-2)(x+3) is decreasing and increasing and find local minima and maxima, we can compute the first and second derivatives of f(x):
f'(x) = 2x+1
f''(x) = 2
We can see that f''(x) is always positive, so f(x) is always concave up. Therefore, any critical points of f(x) will be local minima. To find the critical points, we set f'(x) = 0:
2x+1 = 0
x = -1/2
So x=-1/2 is the only critical point of f(x). To determine whether it's a local minimum or not, we can look at the sign of f'(x) on either side of x=-1/2:
When x < -1/2: f'(x) < 0, so f(x) is decreasing.
When x > -1/2: f'(x) > 0, so f(x) is increasing.
Therefore, we know that x=-1/2 is a local minimum of f(x).
c) To determine the intervals on which f(x) = (x+1)(x-2)(x+3) is decreasing and increasing and find local minima and maxima, we can compute the first and second derivatives of f(x):
f'(x) = 3x^2-2x-7
f''(x) = 6x-2
To find the critical points of f(x), we set f'(x) = 0:
3x^2-2
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surface area of composite figures
Answer:
mark me brainliest hope your day goes wellStep-by-step explanation:
The area of the composite figures is the area of one or more simple polygons and circles combined. We can add the areas of all the basic figures together to calculate the area of the composite figures. Find the area of each shape and add them together to find the area of the composite figure.Answer:
The surface area is the sum of all the faces (or surfaces) of a 3D shape. Composite figures are 2 figures put together. (There is an example of a composite figure below) You find an area of both shapes and then add them together, to find the area of the full figure.
Step-by-step explanation:
Which of the following can be constructed by drawing an angle on tracing paper and then folding the paper so that the rays forming the angle lie upon each other?
A. Perpendicular line segment
B. Median of a line segment
C. Angle bisector
D. Parallel lines
A
source: trust me bro
This is for all you billie eilish fans so if your not a billie eilish fan move along
When is her birthday ?
Answer:
December 18, 2001
Step-by-step explanation:
Answer:
December 18 two years older than me almost lol im about to be 18 soon
Step-by-step explanation:
What is the advantage of pooling your data with the rest of the lab section?.
Data sharing with the remainder of the lab section has a number of benefits. First of all, it broadens the sample size overall, which can boost the statistical power of analyses and broaden the applicability of the results.
It is simpler to find significant effects or relationships in the data when the sample size is higher. Furthermore, combining data can result in a more representative sample, minimising any biases that can be present in smaller individual datasets. Collaboration and the investigation of trickier research problems are made possible by sharing data. It promotes information exchange and a collaborative atmosphere where researchers can benefit from one another's experiences, approaches, and insights, thereby raising the calibre and dependability of the research carried out in the lab sector.
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A luxury apartment is priced at $225000. If a bank offers a 90% mortgage, calculate the deposit required.
Answer:
202500 is required deposit
Step-by-step explanation:
Based on the given conditions,
formulate: 225000 × 90 %
Calculate the product or quotient: 202500
get the result: 202500
Answer: 202500
(Hope this helps can I pls have brainlist (crown)☺️)
With the mortgage 90 percent, the deposit required is $202500.
Given that, a luxury apartment is priced at $225000.
A bank offers a 90% mortgage.
A fixed-rate mortgage is a home loan option with a specific interest rate for the entire term of the loan.
Here, 90% of 225000
\(= \frac{90}{100} \times225000\)
\(=90\times2250\)
\(=202500\)
Therefore, the deposit required is $202500.
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Factorise fully 28y2 – 24y
Answer:
4y(7y - 6)
Step-by-step explanation:
A quantity with an initial value of 510 decays exponentially at a rate of 0.05% every 7
years. What is the value of the quantity after 3.6 decades, to the nearest hundredth?
Answer:
508.69
Step-by-step explanation:
...
what is the sum 1,826+2,149+1,023
Answer:
4998
Step-by-step explanation:
1000+2000+1000 = 4000
800+100 = 900
20+40+20 = 80
6+9+3 = 18
4000+900+80+18 = 4998
Hope that helps!
Identify the highlighted part of circle O shown below
Central angle
Secant
Inscribed angle
Chord
Answer:
Chord
Step-by-step explanation:
Notice that the highlighted part is the line segment that joins the points J and E on the circle, which is known as a chord.
Complete the equation of the line through (- 10, 3) and (-8, -8). Use exact numbers.
Answer: To find the equation of a line passing through two points, we can use the point-slope form of the equation:
y - y1 = m(x - x1)
where (x1, y1) are the coordinates of one of the points, and m is the slope of the line.
To find the slope, we can use the formula:
m = (y2 - y1)/(x2 - x1)
where (x1, y1) and (x2, y2) are the coordinates of the two points.
So, let's plug in the values we have:
m = (-8 - 3)/(-8 - (-10)) = (-8 - 3)/2 = -11/2
Now we can use either point to find the equation. Let's use (-10, 3):
y - 3 = (-11/2)(x - (-10))
y - 3 = (-11/2)x - 55/2
y = (-11/2)x - 49/2
So the equation of the line through (-10, 3) and (-8, -8) is:
y = (-11/2)x - 49/2.
Ask a question an dorms please solve this
Determine whether the ordered pair \( (2,7) \) is a solution of the equation \( 9 x-y-11=0 \). The ordered pair IS NOT a solution The ordered pair IS a solution
The ordered pair (2, 7) is a solution to the equation 9 x-y-11=0.
To determine whether the ordered pair (2, 7) is a solution of the equation 9x - y - 11 = 0.
we substitute the values of x and y from the ordered pair into the equation and check if it satisfies the equation.
Given ordered pair: (2, 7)
Substituting x = 2 and y = 7 into the equation:
9(2) - 7 - 11
= 18 - 7 - 11
= 18 - 18
= 0
Since the equation holds true when the values of x and y are substituted, the ordered pair (2, 7) is a solution of the equation 9x - y - 11 = 0.
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There is a new ride share service that charges a rate of $5 for the
first 5 miles, then charges $0.50 per mile after that.
If you want to spend $12 or less, what is the maximum number of
miles you could go using the ride share service?
The maximum number of miles you could go using the ride share service for $12 or less is 14 miles
How to find the miles to go with $12The problem is solved by generating the equations
assuming x represents the number of extra miles
$5 is charged for the first 5 miles and $0.50 per mile after that
This can be represented using the equation
total cost, y = $5 + $0.5x
$0.50 for the extra miles
Having $12 the number of miles is calculated as below
$12 = $5 + $0.5x
0.5x = 12 - 5
0.5x = 7
x = 7 / 0.5
x = 14 miles
The number of miles that can be paid for using $12 is 14 miles and this is the maximum number since the amount will result to lesser miles
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