The statement is false. A parameter is a descriptive measure of a whole population.
What is the different of parameter and statistic?A parameter tells us about a whole population. It means that a parameter should be found to understand all the characteristics of a population. A population itself is the entire group that we want to study.
For example: A population mean. We take a class as the population. We asked them about age and found that the average age is 20. That is a parameter.
A statistic otherwise tells us about some parts of the population. It describes a sample. A sample itself is a small group taken from the population.
For example: A sample mean. We take some people of the class to interview their age. We found the average age is 21. This is a statistic.
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Geometry please help fast
Name the quadrant in which the angle theta lies.
cos theta > 0, sec theta < 0
Choose the correct answer below.
A. The angle theta lies in quadrant II.
B. The angle theta lies in quadrant III.
C. The angle theta lies in quadrant I or III.
D. The angle theta does not exist.
The angle theta lies in quadrant I or III.
Hence, option (C) is the correct choice.
The coordinate system's two axes, the x-axis and the y-axis, constitute an area called a quadrant. The quadrants are generated when the two axes, the x-axis and the y-axis, cross at a 90-degree angle. These areas include coordinates, or positive and negative values of the x- and y-axes.
Cosθ=(1/Sinθ)
And, Secθ = (1/Cosθ)
As we know,
In the first Quadrant.
The value of Sinθ is positive, so the corresponding value of Cosθ will be also Positive.
As, In the second case the value of Secθ should be less than 0,
We know the value of Cosθ is negative in the third Quadrant.
So, the value of the Secθ will be less than 0 in the third quadrant.
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the bearing of B from A is 162. Work out the bearing of A from B
Answer: 180°
Step-by-step explanation:
If given the bearing from B to A, the bearing from A to B can be found using interior angles. Subtract the bearing of B to A from 180° to find the missing interior angle, then use the fact that angles in a full turn add to 360° to find the bearing of A to B.
Aiden has $15.00 on his copy card. Each time he uses the card to make a photocopy, $0.06 is deducted from his card. Aiden wants to be sure that there will be at least $5.00 left on his card when he is finished. The inequality below relates x, the number of copies he can make, with his copy card balance. What is the maximum number of copies Aiden can make
Aiden can make up to 166 copies before his copy card balance reaches below $5.00 as each copy total costs $0.06.
1. 15.00 - 0.06x ≥ 5.00
2. Add 0.06x to both sides: 15.00 ≥ 0.06x + 5.00
3. Subtract 5.00 from both sides: 10.00 ≥ 0.06x
4. Divide both sides by 0.06: 166.67 ≥ x
5. Therefore, x ≤ 166.67, so Aiden can make a maximum of 166 copies.
Aiden's copy card balance is $15.00, and each copy he makes costs $0.06. To ensure that his card balance does not go below $5.00, he needs to calculate the max number of copies he can make. To do this, we set up an inequality, 15.00 - 0.06x ≥ 5.00, and solved it to get x ≤ 166.67, meaning Aiden can make a maximum of 166 copies.
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During the season, the number of goals Keon scored to
the number of goals Max scored was 3 to 4. If Max
scored 16 goals, how many goals did Keon score?
Keon scored 5 goals.
In this question, all measurements are in millimetres.
An equilateral triangle has side lengths of 4a + 2.
A square has side lengths of 2a + 7.
Given that the triangle has a larger perimeter than the square, work out the
smallest possible integer value that a could take.
+
The smallest possible integer value that 'a' could take is 6.
What is Perimeter?Perimeter is the total length of a shape's boundary.
Perimeter of equilateral triangle = 3a, where a is the side length
Perimeter of a square = 4b, where b is the side length
Let P₁ be the perimeter of equilateral triangle and P₂ be the perimeter of square.
Here,
Length of side of equilateral triangle = 4a + 2
P₁ = 3 (4a + 2)
Length of side of square = 2a + 7
P₂= 4 (2a + 7)
Given P₁ > P₂
3 (4a + 2) > 4 (2a + 7)
By distributive property,
12a + 6 > 8a + 28
12a - 8a > 28 - 6
4a > 22
a > 22/4
a > 5.5
Hence 6 is the smallest number which is an integer that 'a' could take.
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Which set of ordered pairs represents a function? (1 point) O ((0, 1), (1, 2), (2, 3), (3, 3)) O ((0, 1), (1, 2), (1, 3). (2.5)) O ((0, 0), (1, 2), (2, 4), (2, 6)) O ((0, 0), (0, 1), (2.0), (2,4))
Answer:
no
Step-by-step explanation:
the X corrdinate ( the first part of the ordered pair) has multiple repeating 0's.The numbers in the X cant repeat or its not a funtion
Six thousands four and twenty four thousandths in standard form
Answer:
6,004.024
Step-by-step explanation:
Answer:
The number 0.000380 converted to standard form is 3.80 x 10 -4 Note that we do not remove the trailing 0 because it was originally to the right of the decimal and is therefore a significant figure. Additional Resources See the Scientific Notation Calculator to add, subtract, multiply and divide numbers in scientific notation or E notation.
Step-by-step explanation:
what’s the area of a semi circle
Answer:
14.13
Step-by-step explanation:
Since we know the area of a circle is [tex]\pi r^2[/tex], we just need to divide it by 2 to get the semicircle's area ( [tex]\frac{\pi r^2}{2}[/tex] )
We know the radius is equal to half of the diameter, or in this case 3, and we're approximating pi to 3.14, so we just substitute on the formula:
[tex]\frac{(3.14)(3)^2}{2} = \frac{(3.14)(9)}{2} = \frac{28.26}{2} = 14.13[/tex]
The first digits of data entries in most real-world data sets are not uniformly distributed. The most common first digit is 111, followed by 222, and so on, with 999 being the least common first digit. This phenomenon is known as benford's law.
The probability for the first digit of a random number of a data set to be greater than 7 is 0.097.
Here we are given a probability distribution table regarding Benford's law where all the probabilities about the occurrence of the first digit of a data set are given. As we can see that digit 1 has the highest probability with number 9, the least.
Here we need to find the probability that a randomly selected number, has a first digit greater than 7.
Here we don't have to think about Benford's law since the data already has given us the required distribution.
Hence P(D > 7) = P(D = 8) + P(D = 9)
= 0.051 + 0.046
= 0.097
Hence the probability for the first digit to be greater than 7 is 0.097.
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Correct Question
(Image Attached)
Please assist asap, it’s a 6 point question!
Answer: The equation of the perpendicular bisector of AB is 3x+7y-77=0
A line equation is an algebraic representation of a set of points that together form a line in a coordinate system. Multiple points that together form a line on the coordinate axis are represented as a set of x,y variables to form an algebraic equation called a one-line equation.
Equation of line⇒[tex](y-y1)=\frac{(y2-y1)}{(x2-x1)} (x-x1)[/tex]
Midpoint of line⇒[tex]\frac{(x1+x2)}{2}, \frac{(y1+y2)}{2}[/tex]
Step-by-step explanation:
Line CD⊥AB
Equation of AB⇒ [tex]\frac{y+10}{x-4} =\frac{15-1}{10-4} \\[/tex]
⇒ [tex]\frac{y+10}{x-4} =\frac{14}{6}[/tex]
⇒ [tex]\frac{y+10}{x-4} =\frac{7}{3}[/tex]
⇒ 3(y+10)=7(x-4)
⇒ 3y+30=7x-28
⇒ 7x-3y=30+28
⇒ 7x-3y=58
Midpoint of AB⇒ [tex]\frac{4+10}{2} , \frac{1+15}{2}[/tex]
⇒ [tex]\frac{14}{2}, \frac{16}{2}[/tex]
⇒ (7, 8)
Slope of CD⇒ [tex]\frac{-1}{slope of AB}[/tex]
Slope of AB⇒ [tex]\frac{-7}{-3}[/tex]
⇒ [tex]\frac{7}{3}[/tex]
Slope of CD⇒ [tex]\frac{-3}{7}[/tex]
Equation of CD⇒ [tex]y-8=\frac{-3}{7} (x-7)[/tex]
⇒ 7(y-8)=-3(x-7)
⇒ 7y-56=-3x+21
⇒ 3x+7y-56-21=0
⇒ 3x+7y-77=0
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Okay im learning algebra right now and this question hit my head
here, its asked which expression was equivalent to this 2v+6v+3c.
here are the answer 2v + 9c 8v + 3c 11vc 11+ v+ c
Answer:
8v+3c
Step-by-step explanation:
2v+6v+3c
2v and 6v have similar figures so you can add them together
so it becomes 8v+3c
c and v have nothing in common so you cannot simplify them more
20÷5+4x7-4 help plis
Answer:
28 / Ounce of wed >;)
Step-by-step explanation:
Answer:
28
Step-by-step explanation:
PEMDAS (parenthesis, exponents, multiplication, division, addition, subtraction)
Multiply 4 and 7 (28), divide 20 by 5 (4), add those together (32) and then subtract 4 which will get you 28
In Exercises 23-26, evaluate the trigonometric function by
memory or by constructing an appropriate triangle for the
given special angle.
23. (a) cos 60°
24. (a) cot 45°
25. (a) sin 45°
26. (a) sin 60°
(b) csc 30°
(b) cos 45°
(b) cos 30°
(b) tan 45°
27. (a) sin 10°
28. (a) tan 23.5°
29. (a) sin 16.35°
(c) tan 60°
(c) csc 45°
(c) tan 30°
(c) sec 30°
In Exercises 27-36, use a calculator to evaluate each
function. Round your answers to four decimal places. (Be
sure the calculator is in the correct angle mode.)
(b) cos 80°
(b) cot 66.5°
(b) csc 16.35°
23~29 Pls
In Exercises 23-26 and In Exercises 27-36 , the trigonometric function by memory and by constructing an appropriate triangle for the given special angle are mentioned below
What is trigonometry?Trigonometry is a branch of mathematics, which deals with the study of right angle triangles. Trigonometry is concerned with specified functions of angles and their applications to calculations.
There are 6 commonly used functions in trigonometry with their name and abbreviations-
sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), cosecant (cosec)
1. Exercises 23-26
23. (a) cos 60° = 0.5
24. (a) cot 45° = 0.7071
25. (a) sin 45° = 0.7071
26. (a) sin 60° = 0.8660
(b) cos 30° = 0.8660
(b) cos 45° = 0.7071
(b) cos 30° = 0.8660
(b) tan 45° = 1
27. (a) sin 10° = 0.9958
28. (a) tan 23.5° = 0.4348
29. (a) sin 16.35° = 0.2815
(c) tan 60° = 1.732
(c) cosec 45° = 1.4142
(c) tan 30° = 0.5773
(c) sec 30° = 1.1547
2. Exercises 27-36
(b) cos 80° = 0.1736
(b) cot 66.5° = 0.4348
(b) cosec 16.35° = 3.5523
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What percentage of the shape is blue?
Write your answer using a percent sign (%).
A fast food restaurant just leased a new freezer and food fryer for three years. The service contract for the freezer offers unlimited repairs for a fee of $125 a year plus a $35 service charge for each repair needed. The restaurant’s research indicates that during a given year 80% of these freezers need no repairs, 11% needed to be serviced once, 5% twice, 4% three times, and none required more than three repairs.
a. Find the expected number of repairs for this freezer per year.
b. Find the standard deviation of the number of repairs per year.
c. What are the mean and standard deviation of the restaurant’s annual expense with the service contract for the freezer?
(a) Expected number of repairs per year is 0.33 (b) Standard deviation of number of repairs per year is 0.749, (c) The mean and standard deviation of annual expense are $136.55 and $26.217 respectively.
What is Standard Deviation?Standard deviation is a measure in statistics which measures the amount of deviation a set of data has with respect to their mean.
(a) Expected number of repairs for the freezer per year is the sum of the product of number of repairs to their probability.
E(Repairs) = (0 × 0.80) + (1 × 0.11) + (2 × 0.05) + (3 × 0.04)
= 0.33
(b) Standard deviation of number of repairs per year can be calculated as,
SD(Repairs) = [tex]\sqrt{[(0 - 0.33)^{2}(0.8)]+[(1-0.33)^{2}(0.11)] + [(2-0.33)^{2}(0.05)]+[(3-0.33)^{2}(0.04)] }[/tex]
= √ (0.5611)
= 0.749
(c) Mean of the restaurant's annual expense with service contract is,
Mean = Expected cost = $125 + ($35 × 0.33) = $136.55
Standard deviation of the restaurant's annual expense with service contract is,
SD = [tex]\sqrt{35^{2}(0.5611) }[/tex] = 35 × 0.759 = 26.217
Hence the expected number of repairs is 0.33, standard deviation of number of repairs is 0.749, mean and standard deviation of annual expense is $136.55 and $26.217 respectively.
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through: (4, 3), perpendicular to y=-2+1
The equation of the line that is perpendicular to y = -2x + 1 will be y = (1/2)x + 1.
What is a linear function?A straight line on the coordinate plane is represented by a linear function.
A linear function always has the same and constant slope.
The formula for a linear function is f(x) = ax + b, where a and b are real values.
As per the given line,
y = -2x + 1
The slope(m) intercept form of a line is given as,
y = mx + c
By comparing,
Slope m = -2
The product of the slopes of the two perpendicular lines is -1.
Slope of perpendicular line (m') x -2 = -1
m' = 1/2
Put m' = 1/2 and (4,3) into y = m'x + C.
3 = (1/2)4 + C
C = 1
Thus, line will be y = (1/2)x + 1
Hence "y = (1/2)x + 1 will be the equation for the line that is perpendicular to y = -2x + 1.".
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A new car is purchased for 24300 dollars. The value of the car depreciates at 15% per year. To the nearest year, how long will it be until the value of the car is 5600 dollars?
Answer:
9 years
Step-by-step explanation:
Losing 15 % means 85% remains
so multiply each year's value by .85 to find the current value
after 'n' years it will be 24300 * .85^n
when will it be 5600 ?
5600 = 24300 * .85^n
5600/24300 = .85^n
now you need to take the log of both sides and solve for 'n' years
log ( 5600/24300) / log(.85) = n = 9.031 = ~~ 9 years
If sec A = 15/7 and A + B = 90°, find the value of cosec B
The value of cosec B if A and B are complementary is 15/7
What are complementary angles?Two angles are called complementary when their measures add to 90 degrees. Since A+B = 90°, then A and B are complementary. Examples of complementary angles are 45 and 45, 30 and 60, 20 and 70 e.t.c
If sec A is 15/7
sec A= 1/cos A
therefore cos A = 7/15
if cos A = 7/15 , then from law of complementary angles
cos A = sin (90-A)
and 90-A = B
therefore cos A = sinB
if cos A = 7/15, then;
sin B = 7/15
then sinB = 1/cosec B
cosec B = 15/7
therefore the value of cosec B = 15/7
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Determine the ratio of surface area volume for each prism
1. The ratio of the surface area to volume of the cube = 3/ 5
2. The ratio of the surface area to volume of the cuboid = 113/ 62
Surface area and volume of a figure.
The surface area of a given figure is the area of the total external boundary of the figure. While the volume of a figure is the quantity of substance that can fill up the figure.
To solve the question, we have;
1. The surface area of a cube = 6a
where: a = length x length
= 10 * 10
a = 100 square centimeters
So that;
surface area of the cube = 6*100
= 600 sq cm
ii. Volume of a cube = l^3
= 10^3
volume of the cube = 1000 cubic centimeters
iii. The ratio of its surface area to volume = 600/ 1000
= 6/ 10 = 3/ 5
2. The surface area of a cuboid = 2a + 2b + 2c
= 2(a + b + c)
where a = b = c = length * width
a = length x width
= 4*2
a = 8 sq. m
b = length x width
= 6.2 x 4
b = 24.8 sq. m
c = length x width
6.2 x 2
c = 12.4 sq. m
Surface area of the cuboid = 2(8 + 24.8 + 12.4)
= 90.4 sq. m
ii. volume of a cuboid = length x width x height
= 6.2 x 4 x 2
= 49.6 cubic meters
iii. The ratio of surface area to volume of the cuboid = 90.4/ 49.6
= 113/ 62
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X by the power of 2 -36
The solutions of x²=-36 are 6i and -6i.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
X by the power of 2 is -36
This can be written as x²=-36
We need to find the value of x.
x²=-36
Take square root on both sides
x=√-36
x=√i²36
x=6i, -6i
Hence, the solutions of x²=-36 are 6i and -6i.
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PLEASE HELP ASAP!!!!!!!!
Answer:
D. IT shows it is Exponential function i believe
Step-by-step explanation:
Benito has a job that pays $14.15 per hour for a 40-hour work week. He is to be paid time and a half for every hour over 40 that he works in a week. What will his gross pay be for a week in which he works 49 hours?
Benito's gross pay for the week will be $757.07.
What are work and time?
In aptitude, work and time are related concepts that are used to calculate the rate of work being done.
Benito is to be paid time and a half for every hour over 40 that he works, so for a 49-hour work week, he will be paid for 49 - 40 = 9 hours of overtime.
His regular pay for the first 40 hours is $14.15 per hour * 40 hours = $566.
His overtime pay is $14.15 per hour * 1.5 = $21.23 per hour
His overtime pay for 9 hours is $21.23 per hour * 9 hours = $191.07
his gross pay for the week will be $566 + $191.07 = $757.07.
Hence, Benito's gross pay for the week will be $757.07.
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What is the solution to the equation 1/3x=6
[tex]\dfrac{1}{3} x=6[/tex]
Multiply both sides by 3:
[tex]3\times(\dfrac{1}{3} x)=3\times(6)[/tex]
[tex]\fbox{x = 18}[/tex]
1/3x = 6
Multiply both sides by 3:
3 * 1/3x = 3 * 6
x = 18
x = 18 would be your answer.
Hope this helps!
What is the interest earned in a savings account for 12 months on a balance of $4000 of the interest rate is 1.5% APR compounded earlier
answer: 60.00
Based on the given conditions, formulate:: 4000x
((1.5%+1)12/12-1)
Evaluate the equation/expression:: 60
Round 60 to the required place rounding: 60.00
X
————————
Y
Formula of the Line
Answer:
y = 4x + 4
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept, where it crosses the y- axis )
calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 1, 0) and (x₂, y₂ ) = (- 2, - 4) ← 2 points on the line
m = [tex]\frac{-4-0}{-2-(-1)}[/tex] = [tex]\frac{-4}{-2+1}[/tex] = [tex]\frac{-4}{-1}[/tex] = 4
the line crosses the y- axis at (0, 4 ) ⇒ c = 4
y = 4x + 4 ← equation of line
Find the midpoint of the segment with the following endpoints?
(−1, 3) and (−9, −7)
Answer: To find the midpoint of a line segment, you can average the x-coordinates of the endpoints and average the y-coordinates of the endpoints.
The x-coordinates of the endpoints are -1 and -9, so the average of the x-coordinates is (-1 + (-9))/2 = -5
The y-coordinates of the endpoints are 3 and -7, so the average of the y-coordinates is (3 + (-7))/2 = -2
So the midpoint of the segment with endpoints (-1, 3) and (-9, -7) is (-5, -2)
Step-by-step explanation:
A line has the equation 2y + 3x – 4 = 0. Write the equation of a line parallel to the given line that has a y-intercept of 9.
Answer:
[tex]y=-\frac{3}{2}x+9[/tex]
Step-by-step explanation:
Parallel lines have the same slope, but different y-intercepts, so it helps to rewrite the equation in slope-intercept form:
[tex]2y+3x-4=0\\2y=-3x+4\\y=-\frac{3}{2}x+2[/tex]
Now, just simply change the y-intercept from 2 to 9 and you're done!
7. Use the dot product to determine which of the following vector pairs are orthogonal.
A. V1=(22,15) and v2=(-2,4)
Part 1: Multiply the two x-coordinates of the vectors and the 2Y coordinates of the factors. Write each product below. (2 points)
Part II: add the two products together. What is the result? (2 points)
Part III: are the two vectors orthogonal? (2 points)
Vectors V1=(22,15) and v2=(-2,4) are not orthogonal.
What are Orthogonal Vectors?Two vectors are said to be orthogonal if they are perpendicular
to each other. i.e. the dot product of the two vectors is zero.
Given vectors are:
V₁ = (22,15)
V₂ = (-2,4)
Dot product of V₁ and V₂ = (22,15).(-2,4) = 22×-2 + 15×4
Part 1:
Multiplying x-coordinates of vectors-
(22×-2) = -44
Multiplying y-coordinates of vectors-
(15×4) = 60
Part 2: Adding the products = -44+60 = 16
Part 3: If the dot product of two vectors is zero, then the two vectors are orthogonal.
But the dot product from the above calculation is 16 means vectors are not orthogonal.
Hence, the two vectors are not orthogonal.
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find the valeu of r if 5(r-3)=20
The value of [tex]r[/tex] is [tex]7[/tex]
The given equation is
[tex]5(r-3)=20[/tex]
We will now open the bracket, [tex]5r-15=20[/tex]
Let's simplify,
[tex]5r=20+15\\5r=35\\r=\frac{35}{5} \\r=7[/tex]
The value of [tex]r=7[/tex]
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