Answer:
The 99 percent confidence interval for the proportion of all employees at the company who own an electric car is (0.0104, 0.0496).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
In a random sample of 500 employees, 15 reported owning an electric car.
This means that [tex]n = 500, \pi = \frac{15}{500} = 0.03[/tex]
99% confidence level
So [tex]\alpha = 0.01[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.01}{2} = 0.995[/tex], so [tex]Z = 2.575[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.03 - 2.575\sqrt{\frac{0.03*0.97}{500}} = 0.0104[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.03 + 2.575\sqrt{\frac{0.03*0.97}{500}} = 0.0496[/tex]
The 99 percent confidence interval for the proportion of all employees at the company who own an electric car is (0.0104, 0.0496).
You can find the standard mean error and then use that to find the confidence interval limits.
The 99% confidence interval for the proportion of all employees at the company who own an electric car is given by
Lower limit = 0.0104
Upper limit = 0.0496
The confidence interval is (0.0104, 0.0496) (can include those end points too)
How to find the confidence interval for proportions?Let the sample size be n
Let the interested quantities in the sample be present x times
Let the confidence level be of p%.
Then the level of significance is given by [tex]\alpha = 1 - p/100[/tex]
The standard mean error is calculated by:
[tex]SME = \sqrt{\dfrac{x(n-x)}{n^3}}[/tex]
Then the confidence interval limits can be found by
[tex]CI = \dfrac{x}{n} \pm Z_{\alpha/2}(SME)[/tex]
Using above formula for finding the confidence intervalWe have n = 500, x = 15 and [tex]\alpha = 1 - 0.99 = 0.01[/tex]
Finding the standard mean error:
[tex]SME = \sqrt{\dfrac{x(n-x)}{n^3}}\\\\SME = \sqrt{\dfrac{15 \times 485}{500^3}} \approx 0.00763[/tex]
From the z tables, at [tex]\alpha/2 = 0.01/2 = 0.005[/tex], we get z = 2.5758
Thus, the confidence interval is obtained by
[tex]CI = \dfrac{x}{n} \pm Z_{\alpha/2}(SME)\\\\CI = \dfrac{15}{500} \pm 2.575 \times 0.00763\\\\CI = 0.03 \pm 0.0196[/tex]
Lower limit = 0.0104
Upper limit = 0.0496
Thus,
The 99% confidence interval for the proportion of all employees at the company who own an electric car is given by
Lower limit = 0.0104
Upper limit = 0.0496
The confidence interval is (0.0104, 0.0496) (can include those end points too)
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A person with a systolic blood pressure greater than 120 mmHg and less than or equal
to 139 mmHg is said to have prehypertension. Which inequality represents the range of
systolic blood pressure for a person with prehypertension?
a. 120 < x < 139
b. 120 < x≤ 139
C. 120 ≤x < 139
d. 120 ≤x≤ 139
A basketball team played 6 games. In those games, the team won by 7 points, lost by 5 points, won by 8, won by 11, lost by 3, and won by 6. What was the mean difference in game scores over the 6 games?
Answer:
6-7-8-5-11-8=-33
Step-by-step explanation:
Answer: 6-7-8-5-11-8=-33
Step-by-step explanation:
which equation represents the line that psses through (2,3) and (-2,5)
The equation of line that passes through (2,3) and (-2,5) is y = (-1/2)x + 4.
What is the equation of line that passes through the given points?The point-slope form is expressed as;
( y - y₁ ) = m( x - x₁ )
Where m is slope, x₁ and y₁ are the coordinates of the point .
Given the data in the question;
Point 1 (2,3)
x₁ = 2y₁ = 3Point 2 (-2,5)
x₂ = -2y₂ = 5First, determine the slope.
Slope m = (y₂ - y₁)/(x₂ - x₁)
Slope m = ( 5 - 3 ) / ( -2 - 2)
Slope m = 2 / -4
Slope m = -1/2
Plug the slope m = -1/2 and point (2,3) into point-slope formula and simplify.
( y - y₁ ) = m( x - x₁ )
( y - 3 ) = (-1/2)( x - 2 )
y - 3 = (-1/2)x - (-1/2)2
y - 3 = (-1/2)x + 1
y = (-1/2)x + 1 + 3
y = (-1/2)x + 4
Therefore, the equation of the line is y = (-1/2)x + 4.
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2. Every day you collect 4 pennies and keep them in a jar. So the first day you have 4 pennies, the (I point)
second day you have 8 pennies, the third of you have 12 pennies, etc. How many do you
have on the 15th day?
075
0 19
015
060
BD=16 and AC is the
perpendicular bisector of BD.
2x-14
B
21-2
37-x
y+3
BC=[?]
Enter
Answer:
BC = 8
Step-by-step explanation:
If AC is the perpendicular bisector of BD then
BC = CD = BD/2
BD/2 = 8
So BC = 8
Answer:
the answer is
Step-by-step explanation:
what’s the range of points on the graph pls help
a- {-2,3,5,6}
b-{2,0,3,4
c{-2,1,0,1,2,3,4,5,6}
d-{3,5,6,-2}
So on solving the provided question, we can say that from the graph the range can be - {-2,3,5,6} and {2,0,3,4}
What is range?The variable's range is obtained by finding its largest observed value (maximum) and subtracting its smallest observed value (minimum). Variational bounds or possible range: various steel prices; various styles; The extent or magnitude of a procedure or action: insight. the maximum or expected range of a weapon's projectile. The range of a list or set is the number between the minimum and maximum. Prior to identifying the region, align all the numbers. Remove (remove) the lowest number from the highest number next. The list's range is provided in the solution.The solution provides the list's range.
from the graph-
the range can be
- {-2,3,5,6} and {2,0,3,4}
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confusion of the inverse occurs when we incorrectly believe _______.
The concept given is a Probability, It is a branch of mathematics that deals with the occurrence of a random event. The answer is P(A|B)=P(B|A).
Probability is the branch of mathematics concerning numerical descriptions of how probable an event is to do, or how likely it's that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates the impossibility of the event and 1 indicates certainty.
Inverse probability is the probability of unobserved effects; or, more technically, the probability distribution of an unobserved variable. It's generally considered an obsolete term.
In probability proposition and statistics, an inverse distribution is the distribution of the complementary of an arbitrary variable. Inverse distributions arise in particular in the Bayesian environment of previous distributions and posterior distributions for scale parameters.
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Before you add fractions, they must have the same:
To make a homemade all-purpose household cleaner, you can mix the ingredients shown in the table.
All-Purpose Cleaner
1 cup vinegar
12 cup rubbing alcohol
1 gallon water (16 cups)
Samuel has 1 cup of rubbing alcohol and will use the entire amount. He plans to store the cleaning solution in containers that each hold a maximum of 6 cups. How many containers does he need?
Samuel will need
______ containers.
The total solution will include
cup(s)_____of vinegar,
cup(s)_____of rubbing alcohol, and
cup(s)_____ of water, which is a total of
cups of solution. Five containers will hold 5 × 6, or 30 cups of solution. So, he will need _____ total containers to hold all of the solution.
3 containers, 1 cup, 12 cup, 16 cups
Samuel will need
3 containers.
The total solution will include
cup(s) 1 of vinegar,
cup(s) 12 of rubbing alcohol, and
cup(s) 16 of water, which is a total of
cups of solution. Five containers will hold 5 × 6, or 30 cups of solution. So, he will need 3 total containers to hold all of the solution.
What are ingredients?Ingredients refer to the materials or apparatuses combined together to have a single product. In other words, ingredients are the chemical makeups of a refined product which combine together to have new and entirely different product.
The ingredients for a homemade all-purpose household cleaner, in this case, are vinegar, rubbing alcohol, and water.
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A room measures 12 1/2 feet on each side. How many square feet of carpeting will be needed to completely cover the floor?
A) 25
B) 50
C) 144 1/4
D) 156 1/4
I have the right answer, show work please
Answer:
156 1/4
Step-by-step explanation:
Assume the room is a square.
side = 12 1/2 ft
area = (side)²
area = (12 1/2 ft)²
area = (12 1/2 ft) × (12 1/2 ft)
area = (144 + 6 + 6 + 1/4) ft²
area = 156 1/4 ft²
For what value of x is the rational expression below equal to zero?
2-x+x/2+x
Options:
A. 2
B. 0
C. -1
D. -2
The value of x for which the rational expression equals to zero is -4
What is System of Linear Equation ?An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation. A linear equation with one variable has the conventional form Ax + B = 0. In this case, the variables x and A are variables, whereas B is a constant. A linear equation with two variables has the standard form Ax + By = C. Here, the variables x and y, the coefficients A and B, and the constant C are all present.
A linear equation is one that has a degree of 1 as its maximum value. No variable in a linear equation, thus, has an exponent greater than 1. A linear equation's graph will always be a straight line.
A linear equation is an algebraic equation in which each term has an exponent of 1, and which, when plotted on a graph, always yields a straight line. It is called a "linear equation" for this reason.
The equation is
2 - x +x/2 + x = 0
⇒ x/2 = -2
⇒ x = -4
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Which fraction is equivalent to fraction with numerator negative 3 and denominator 2
The equivalent fraction of -3/2 is the fraction -6/4
How to determine the equivalent fractionFrom the question, we have the following parameters that can be used in our computation:
numerator negative 3 and denominator 2
Express the fraction properly
So, we have
-3/2
Multiply the numerator and the denominator by a constant (say 2)
So, we have
-6/4
This implies that -6/4 is equivalent to 3/2
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A line passes through the points (5,9) and (4,6). What is it's equation in slope-intercept form?
A line passes through the points (5,9) and (4,6) is y=3x-6.
What is the slope intercept form?The slope intercept form of a straight line is one of the most common forms used to represent the equation of a line. The slope intercept formula can be used to find the equation of a line when given the slope of the straight line and the y-intercept.
The standard form of the slope intercept form is y=mx+c.
The given coordinate points are (5,9) and (4,6).
Here, slope m=(6-9)/(4-5) =3
Substitute m=3 and (x, y)=(5, 9) in y=mx+c, we get
9=3×5+c
9-15=c
c=-6
Substitute m=3 and c=-6 in y=mx+c, we get
y=3x-6
Therefore, equation in slope-intercept form is y=3x-6.
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The measure of one angle of a right triangle is 34∘ more than the measure of the smallest angle. Find the measure of the smallest angle. Please Help me and solve ASAP.
Answer:
28°
Step-by-step explanation:
You want the smallest angle in a right triangle if the difference from the larger one is 34°.
Sum and differenceThis is one of a class of problems in which you want to find values that have a particular sum and a particular difference. They all have the same generic solution:
the smaller value is half the difference of the sum and differencethe larger value is half the sum of the sum and differenceApplicationHere, the sum of the two acute angles in a right triangle is 90°. The problem statement tells you their difference is 34°. That means the smaller angle is ...
smaller angle = (90° -34°)/2 = 56°/2 = 28°
The smallest angle is 28°.
__
Additional comment
The largest acute angle is (90° +34°)/2 = 124°/2 = 62°. You will notice this is the complement of the 28° angle found above, and differs by ...
62° -28° = 34° . . . . as required by the problem statement
If you don't want to just jump to the answer, you can write an equation for the smallest angle (x). The larger will be (x+34).
x +(x +34) = 90 . . . . . the two acute angles are complementary
2x = 90 -34
x = (90 -34)/2 = 56/2 = 28 . . . . . this should look familiar
Which of the following tables may represent a linear function?
The table that represents a linear equation is the first one, and the line can be:
y = -4x - 1
Which of the following tables can represent a linear function?A general linear function can be written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
Now, notice that if we evaluate the line in x + 1, we will get:
y = a*(x + 1) + b
y = a*x + a + b
So, for an increase of one unit on the variable x, we have a constant increase in the y value.
Now, if you look at the first table, you can see that for each increase of 1 unit on the value of x, the value of y decreases by 4.
So that is the table that can represent a linear function.
And the line is:
y = -4x - 1
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you have 53 dollars. your brother has 23 fewer dollars than you . How many dollars does your brother have
Answer:
The brother has 30 dollars.
Step-by-step explanation:
Alright
So if you have 53 dollars
And your brother has 23 less dollars than you.
You subtract.
53-23=
Which will give you 30
So in the end
Your brother has 30 dollars.
1. Solve for BC using Law of Cosines. Round to the nearest tenth when necessary.
Using cosine law in the triangle given, the length of BC is 32 units
What is Law of CosineThe law of cosines (also known as the cosine formula) is an equation that relates the lengths of the sides of a triangle to the cosine of one of its angles. It states that:
a² = b² + c² - 2(b)(c) Cos(A)
In the given problem, the data;
AB = 29AC = 23BC = ?angle A = 75°Substituting the values into the formula and solve for BC;
BC² = 29² + 23² - 2(29)(23) Cos 75
BC² = 1024.735393
BC = √1024.735393
BC = 32.01
BC ≈ 32
The length of side BC in the triangle is 32 units
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If one For loop is nested within another, then the counter variables for the two loops should be different.
True or False
You can use the same name (identifier). It may be a different object. They both loop will not affect each other.
Inside the inner or second loop, there is no way to refer to the object used in the first loop (unless you make special bread for that, as by providing a pointer to it).
This is Normally bad style, is prone to confusion, and should be avoided.
The objects are different only if the inner one is defined alone, as with the int I you have shown. If the same name is used without shaping a new object, the loops will use the same object and will interfere with each other.
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:p confused on how to do this
Answer: C
Step-by-step explanation:
Same thing as before(I believe I answered a similar question).
Substitute the values for the variables.
Do that, and you get
(1/2)^2+2/5
= 1/4+2/5
= 5/20+8/20
= 13/20
The answer is C.
How many real solutions does this system of equations have? x²+y²=36
3x-y+1=0
A.0
B. 2
C. 3
D. 1
Answer: A. 0
This system of equations has no real solutions. The equation x² + y² = 36 represents a circle with center (0,0) and radius 6, while the equation 3x - y + 1 = 0 represents a line in a 2-dimensional plane. Since a line and a circle do not intersect at exactly one point in general, this system of equations have no common point, and therefore no real solutions.
Step-by-step explanation:
Mr. Felkamp planted 8 rows of tomato plants. There were 96 plants in a row. How many tomato plants were there in all?
The total number of tomato plants is given as follows:
768 tomato plants.
How to obtain the total number of tomato plants?The total number of tomato plants is obtained according to the proportions in the context of this problem.
The use of the proportion is because the total number of tomato plants is given by the multiplication of the number of plants by the number of rows.
The parameters for this problem are given as follows:
8 rows.96 plants per row.Hence the total number of tomato plants is obtained as follows:
96 * 8 = 768 plants.
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Determine the intercepta of the line. Do not round your answers. -6x+3y=-7
Please help!!!
x=7<
Step-by-step explanation:
7x4=77iuiiiiiiiiii
A business purchased a new printer.• The number of pages, y, printed by the new printer in x minutes is represented by the equation y = 37x.• The numbers of pages printed by the old printer is represented by the graph. *
Step-by-step explanation:
pls ans my question interested girl come 15++ come fast
(8-2)x(3+2)-1}x3 anwer in need
Answer:
(6)×(5)-1)3
6×5-3
30-3
=27
The table shows how the amount of Ariel’s bank account changed over several weeks.
Help
By how much did Ariel’s account change from week `1` to week `6`?
Make sure to show whether the change is positive or negative.
The amount by which Ariel’s bank account changed from week `1` to week `6` is -$365.80.
What are the changes that occurred in Ariel's account?The changes over the six-week period in Ariel's bank account are as follows:
At the end of week 1:
$337.5 - $360 = -$22.50
At the end of week 2:
$182.35 - $337.5 = -$155.15
At the end of week 3:
$-41.4 - $182.35 = -$223.75
Balance at the end of week 4:
-$41.4 + $40 = -$1.40
At the end of week 5:
-$5.80 - (-$1.4) = -$4.40
Week 6 balance = -$5.80
Changes that occurred = -$22.50 + (-$155.15) + (-$223.75) + (-$1.40) + $40 + (-$4.40)
Changes that occurred = -$365.80
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Three vertices of DEFG are D(1, 1), E(5, 2), and F(1, 8). Find the coordinates of the remaining vertex.
The coordinates of the remaining vertex if the other 3 vertices of DEFG are D(1, 1), E(5, 2), and F(1, 8) is G(12,2)
What is a coordinate?A spherical or elliptical coordinate system known as the geographic coordinate system is used to measure and transmit positions on Earth as latitude and longitude. Of all the several spatial reference systems in use, it is the most basic, traditional, and generally used. It serves as the foundation for the majority of
How do coordinates work?Latitude and longitude are the two components of the geographic coordinate system. Each longitude line measures the number of degrees east or west of the prime meridian and travels north to south. Values fall between -180° and +180°. Latitude lines travel from east to west and count the degrees north or south of the equator.
According to the given question, we see that
The coordinates of the remaining vertex if the other 3 vertices of DEFG are
D(1, 1), E(5, 2), and F(1, 8) is G(12,2)
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Use the Quadratic Formula to solve the equation 4x^2+1=10x
Using the Quadratic Formula to solve the equation 4x² + 1 = 10x, we get x₁ = 0.104 and x₂ = 2.395.
What is Quadratic Formula?The term "quadratic equation" refers to an equation of the form ax2 + bx + c = 0, where a, b, and c are real numbers and a0 is an imaginary number. The quadratic equation's roots are the values of the unknown variable x that satisfy the given quadratic equation.
A + b + c, for instance, equals zero if is a root of the quadratic equation ax² + bx + c = 0. Additionally, the act of locating roots is referred to as solving a quadratic equation.
The quadratic formula is
[tex]$ {\displaystyle \text x={\frac {-b\pm {\sqrt {b^{2}-4ac}}}{2a}}}[/tex]
We have given the quadratic equation 4x²+ 1 = 10x
= 4x² -10x + 1
Pouting the values in the formula we get
[tex]{\displaystyle \text x={\frac {-(-10)\pm {\sqrt {(-10)^{2}-4(4)(1)}}}{2(4)}}}[/tex]
On solving we get
[tex]$ \text x_1 = \frac{5-\sqrt{21} }{4}[/tex] and [tex]$ \text x_2 = \frac{5+\sqrt{21} }{4}[/tex]
Approximately,
x₁ = 0.104
x₂ = 2.395
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a. Is the relation shown below a function? Explain.
Relation: (4,16) (5,25) (3,9) (6,36) (2,4) (1,1)
b. What are the domain and range of the relation?
Answer:
A) The relation is a function. Every input (x) and only one output (y)
B) Domains are the x values: 1,2,3,4,5,6
The Ranges are the y values: 1,4,9,16,25,36
Step-by-step explanation:
write a word problem for 5x5.
Answer: The answer is 5x5=25 rows of crops.
Step-by-step explanation:
A farmer has 5 acres of land and wants to plant 5 rows of crops on each acre. How many total rows of crops will the farmer have planted?
The answer is 5x5=25 rows of crops.
Answer: There were 5 groups of cats, and there 5 cats in each group. How many cats are there in total?
in spherical geometry, stat an inequality involving the sum of the angles, using x, y, and z as the measures of the angles. what is the inequality?
find a formula for the area of a triangle in spherical geometry, using x, y, and z as the measures of the angles and r as the radius of the sphere. what is the area of ️ XYZ?
The sum of angles of a triangle formed in a spherical geometry exists equivalent to 180∘.
What is the sum of angles in spherical geometry?The sum of angles of a triangle formed in a spherical geometry exists equivalent to 180∘.
A category of non-Euclidean geometry, spherical geometry is a subset of elliptical geometry. Any type of geometry that is not founded on conventional planes is known as non-Euclidean geometry. Lines in non-Euclidean geometry are not always the usual straight lines found in Euclidean geometry (i.e., plane geometry).
We require opposing sides and angles in order to use the sine rule. We can utilise this knowledge to locate the side that is opposite the other angle if we know two angles and one of the sides opposite. Accuracy points may be lost because of this.
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