-15.2
I use the ai and calculated the answer.
Please help me with my math homework
The relative frequency table can be completed as follows:
January - June (Men) = 60%
January - June (Women) = 40%
July - December (Men) = 40%
July -December (Women) = 60%
The estimation showed a high degree of nearness to the original values.
How to complete the tableTo complete the frequency table, we will begin by making the estimate as the question instructs. Finally, we will compare the values of the new estimated table with the original table.
The January - June record for men shows a frequency rate of 60% if we do the estimation. With the original figures, the value is 57.1% and this figure is very close to 60%. So, estimates give us a good insight into the correct values of numbers.
Learn more about the relative frequency table here:
https://brainly.com/question/3857836
#SPJ1
The point (3,b) lies on the circle with radius 6 and center (-1, -1). What are the possible values of b?
The point (3, b) lies on the circle with radius 6 and center (-1, -1), the possible values of b are 3.47 or -5.47.
What is the equation of a circle?In Mathematics and Geometry, the standard form of the equation of a circle is represented by this mathematical expression;
(x - h)² + (y - k)² = r²
Where:
h and k represents the coordinates at the center of a circle.r represents the radius of a circle.Substituting the given points into the equation of a circle formula, we have the following;
(x - h)² + (y - k)² = r²
(x - (-1))² + (y - (-1))² = 6²
(x + 1)² + (y + 1)² = 36.
Since the point (3, b) lies on the circle, we have;
(3 + 1)² + (b + 1)² = 36.
16 + b² + 2b + 1 = 36
b² + 2b - 19 = 0
By solving the quadratic function, the possible values of b is given by;
x = 3.47 or x = -5.47.
Read more on equation of a circle here: https://brainly.com/question/27138240
#SPJ1
20 pts
Need help asap
PERSEVERE Refer to the figure. Find the values of x, y, and z. Round to the nearest tenth.
The value of x, y and z in the triangle is 6.0, 8.8 and 12.4 respectively.
What is a triangle?A triangle is a plane shape with three sides.
To calculate the value of x in the triangle above, we use the formula below
Formula:
sinθ = opp/Hyp................. Equation 1Where:
θ = 45°opp = xhyp. = 8.5Substitute these values into equation 1 and solve for x
sin45 = x/8.5x = 8.5×sin45x = 6.0Similarly, to calculate the value of y, we use the formula below
tan∅ = opp./adj...................... equation 2Where:
∅ = 45°opp. = 8.8adj. = ySubstitute these values into equation 2 and solve for y
tan45° = 8.8/yy = 8.8/tan45y = 8.8Also to find the value of z we use the formula below
sin∅ = opp/hyp................. Equation 3Where:
opp = 8.8∅ = 45°hyp = zSubstitute into equation 3 and solve for z
sin45° = 8.8/zz = 8.8/sin45z = 12.4Hence, the values of z is 12.4.
Learn more about triangle here: https://brainly.com/question/28470545
#SPJ1
Trigonometry
Ineach of the questions below, calculate other the missing angle or side stated. Give
your answer correct to 1 decimal place
1)
3)
13cm
39m
38
4cm
10m
14m
6)
140m
9)
5cm
2)
4)
23m
75m
10cm
35"
7)
16m
10)
d
6cm
66°
135m86
15m
Answer: Ans(1)
In right triangle
a = 13cos(56°)
a = 7.3 cm
Ans(2)
In right triangle
b = 6/sin(35°)
6th grade math what’s the volume of the tringular prism
The volume of the given triangular prism is 144 cm³.
option A.
What’s the volume of the triangular prism?
The volume of a triangular prism can be calculated by multiplying the area of the base triangle by the height of the prism.
The formula for calculating the volume of a triangular prism is:
Volume = Base Area × Height
Given the base of the triangular prism is a triangle with a base of 8 cm and a height of 3 cm, the area of the base triangle can be calculated as:
Base Area = 0.5 × base × height
Base Area = 0.5 × 8 cm × 3 cm
Base Area = 12 cm²
The volume of a triangular prism is calculated as;
Volume = Base Area × Height
Volume = 12 cm² × 12 cm
Volume = 144 cm³
Learn more about volume of prism here: https://brainly.com/question/28795033
#SPJ1
Chad will have new carpet put on the rectangular floors of two rooms in his house. One
floor is 12 feet long, and the other floor is 15 feet long. Each floor has a width of 10
feet.
What is the total area in square feet of the new carpet?
Answer: 270 ft²
Step-by-step explanation:
The dimensions of 1 room is 10 ft x 12 ft
The other room is 10 ft x 15 ft
For area multiply the length and width and add the 2 areas
so A1 = 10x12=120 ft²
A2 = 10x15 =150 ft²
Total area is 150+120 =270 ft²
provide all the steps for my question please
A number when rounded to the nearest 100 gives 1200. When rounded to the nearest 10 it gives 1250. What could be the number?
How many four digit numbers can be formed from the digits 1,3,5,7,8 and 9 where a digit is used at most once?
A.if the numbers must be even?
B.if the numbers are less thsn 3000?
i need detail explanation
Answer:
A. To form an even number, the last digit must be either 8 or 5, since they are the only even digits in the set. Since a digit can be used at most once, there are two choices for the last digit.
For the first digit, there are four choices (1, 3, 5, or 7), since we cannot use 0 or the last digit.
For the second digit, there are four choices remaining (since one digit has been used), and for the third digit, there are three choices left.
Therefore, the total number of four-digit even numbers that can be formed is: 2 x 4 x 4 x 3 = 96.
B. To form a number less than 3000, the first digit must be 1, 3, or 5. There are three choices for the first digit.
For the second digit, there are four choices remaining (since one digit has been used), and for the third digit, there are three choices left.
For the fourth digit, there are two choices remaining (since we cannot use the first digit).
Therefore, the total number of four-digit numbers less than 3000 that can be formed is: 3 x 4 x 3 x 2 = 72.
Simplify 4 + 10 ÷ (–2). Question 13 options: A) 1 B) –1 C) 7 D)
Answer:
B) -1
Step-by-step explanation:
To answer this question you need to use Pedmas*.
Pembas states:
P - Parenthasess
E - Exponents
D - Divison
M - Multiplication
A - Addition
S - Subtraction
So in this problem, you need to solve the parentheses. In the parentheses there is nothing to solve so we move on to exponents. There are no exponents so we move on to division/multiplication. There is a division symbol so we divide left to right.
After dividing 10 / -2 we get an answer of -5. We can now add 4 + -5 to get our final answer of -1
Try It
The mapping diagram shows a functional relationship.
Domain
Range
-1
Using Function Notation
cowo!
опто
-1
9
Complete the statement.
f(3) is
The calculated value of the function f(3) in the mapping of ordered pairs is -3
Completing the statement using Function NotationFrom the question, we have the following parameters that can be used in our computation:
The mapping
Where
x = domainy = rangeMapping implies that we pair x values to y values
On the mapping, we have the following representation
3 ---- -1
This means that the value of f(3) = -1
This is true because the x values 3 in the domain points to the y value -1 in the range
Hence, the value of f(3) is -1
Read more about fucntions at
https://brainly.com/question/28532394
#SPJ1
can someone help PLS? its Surface Area of Composite Shapes
The total surface area of the figure is 315π square feet, or approximately 988.8 square feet if we use a value of 3.14 for π.
Given information:
The cylinder is sitting on the base of the cone.
The diameter of the base is 14 feet.
The slant height of the cone is 9 feet and the height of the cylinder is 11 feet.
To find the total surface area of the figure, we need to find the surface area of the cone and the surface area of the cylinder and add them together.
The surface area of the cone:
The radius of the cone is half of the diameter, which is 7 feet.
The lateral surface area of the cone can be found using the formula:
L = πrs, where r is the radius and s is the slant height.
L = π(7)(9) = 63π square feet
The base of the cone is a circle with a radius of 7 feet, so its area is:
A = πr² = π(7²) = 49π square feet
The surface area of a cylinder:
The radius of the cylinder is also 7 feet since it shares the same base as the cone.
The lateral surface area of the cylinder is:
L = 2πrh, where r is the radius and h is the height.
L = 2π(7)(11) = 154π square feet
The base of the cylinder is another circle with a radius of 7 feet, so its area is:
A = πr² = π(7²) = 49π square feet
Total surface area:
Adding the lateral surface area and the base area of the cone and cylinder, we get:
63π + 49π + 154π + 49π = 315π square feet
To learn more about the cylinder;
https://brainly.com/question/16134180
#SPJ1
Using implicit differentiation, find y'' (second derivative) for (x^4)+(y^4)=16
a.k.a. Find [tex]\frac{d^2y}{dx^2}[/tex] of [tex]x^{4}+y^{4}=16[/tex]
Using implicit differentiation the second derivative is d²y/dx² = [-2x³y² × dy/dx + 2y³x²]/y⁶
How to use implicit differentiation to find the second derivative?Since we have the function x⁴ + y⁴ = 16, we desire to find the second derivative by implicit differentiation. We proceed as follows.
Since
x⁴ + y⁴ = 16
Taking the first derivative of the function, we have that
d(x⁴ + y⁴)/dx = d16/dx
dx⁴/dx + dy⁴/dx = d16/dx
4x³ + 4y³ × dy/dx = 0
4y³ × dy/dx = -4x³
dy/dx = -4x³/4y³
dy/dx = -x³/y³
We now differentiate again to take the second derivative of the function. So, we have that
dy/dx = -x³/y³
Using the quotient rule, we have dy/dx = (udv/dx - vdu/dx)/v² where u = -x³ and v = y³.
So, substituting this into the equation, we have that
d(dy/dx)/dx = (-x³dy³/dx - y³d-x³/dx)/(y³)²
= [-x³dy³/dy × dy/dx - y³d(-x³/dx)]/(y³)²
= [-x³2y² × dy/dx + y³2x²]/(y³)²
d²y/dx² = [-2x³y² × dy/dx + 2y³x²]/y⁶
The second derivative is d²y/dx² = [-2x³y² × dy/dx + 2y³x²]/y⁶
Learn more about implicit differentiation here:
https://brainly.com/question/30114041
#SPJ1
pls help i sick at midpoint
Answer:
[tex] \frac{ - .8 + .6}{2} = \frac{ - .2}{2} = -.1[/tex]
The beginning of the left edge of the stencil falls at (1, −1). She wants to align an important detail on the left edge of her stencil at (3, 0). She knows this is 1:3 of the way to where she wants the end of the stencil. Where is the end of the stencil located? Group of answer choices (1.5, −0.75) (2.5, −0.25) (6, 2) (9, 3)
The end of the stencil is located at, (x_2,y_2)=(9,3) is the required answer.
How to solveThe given line is divided in the ratio 1:3 and the coordinate of the point P at which the line is divided is (3,0).
The best approach is to use the section formula which relates to the internal division of a line.
Given a line from (x_1,y_1) \: to\: (x_2,y_2) which is divided in the ratio m:n, the coordinates of the point P of division is derived using the formula:
[tex]P(x,y)=\left(\dfrac{mx_2+nx_1}{m+n} ,\dfrac{my_2+ny_1}{m+n}\right)[/tex]
In our given case,
P(x,y)=(3,0)
m:n=1:3
(x_1,y_1) =(1,-1)
Our goal is to determine the end of the stencil (x_2,y_2)
Thus:
[tex](3,0)=left(\dfrac{1x_2+3(1)}{3+1} ,\dfrac{1y_2+3(-1)}{3+1}\right)\\Matching \: coordinates\\dfrac{1x_2+3(1)}{3+1}=3\\x_2+3=3*4\\x_2=12-3=9\dfrac{1y_2+3(-1)}{3+1}=0\y_2-3=0*4\y_2=3+0=3[/tex]
Therefore, the end of the stencil is located at, (x_2,y_2)=(9,3) is the required answer.
Read more about coordinates here:
https://brainly.com/question/30227780
#SPJ1
the value of a companys stock changes at a rate of 7 dollars per day for 8 days. what is the total change in the stocks value after 8 days
The value of stock after 8 days is $20.
Since the unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
We are given that Price of the stock = $8
The number of days price fall = 8 days
a) the price of the stock changes by = $7x 8
= $56
Price of stock decreased by $56
b) Price of stock after 8 days
= $36 - $56
= $20
Hence, the value of stock after 8 days is equal to $20
Learn more about the unitary method, please visit the link given below;
https://brainly.com/question/23423168
#SPJ1
Here are the first 4 terms of a sequence. 3 9 15 21 a) (i) Write down the next term in the sequence. (ii) Explain how you got your answer. b) Work out the 10th term of the sequence.
A sequence is a list of numbers that follow a specific pattern. Each number in the sequence is called a term. Sequences can be finite (meaning they have a specific number of terms) or infinite (meaning they continue without end).
Arithmetic sequences are a type of sequence where each term is found by adding a constant value to the previous term. This constant value is called the common difference, denoted as d. The formula for the nth term (or any term) of an arithmetic sequence is:
an = a1 + (n-1)d
an is the nth term of the sequencea1 is the first term of the sequencen is the position of the term we want to find (e.g. n=5 means we want to find the 5th term)d is the common difference between terms
In other words, we can find any term of an arithmetic sequence by adding the common difference to the previous term.
(i) The next term in the sequence is 27.
(ii) To get this answer, we can see that each term is 6 greater than the previous term
b) To find the tenth term we can write the formula for the nth term of the sequence using the common difference d = 6 and the first term a1 = 3:
an = a1 + (n - 1)d
Substituting n = 10, a1 = 3, and d = 6, we get:
a10 = 3 + (10 - 1)6
a10 = 3 + 54
a10 = 57
Therefore, the 10th term of the sequence is 57
What is an equation of the line tangent to the circle x2+y2=32 at (4, 4)
Answer:
y=x+8
Step-by-step explanation:
The answer is y=x+8
Answer:
Step-by-step explanation:
Center is at (0, 0) for circle you need to find the slope from center to point so that you can find perpendicular slope.
slope = (4-0)/(4-0) =1
the perpendicular slope needs to be flipped and opposite sign
m(tan)= -1 point for tan = (4,4) put in point-slope form
y-4= -1(x-4)
y-4 =-1x+4
y = -x +8
What is the perimeter of kite WXYZ?
W(-3,3)
-5-4-3-2-1
Z(-3,-2)
5
4
لیا
2
1
-2
-5
y
X(2,3)
1 2 3 4 5 X
Y(4-4)
Answer:
Step-by-step explanation:
yes
Find all real numbers a that satisfy \frac{1}{64a^3 + 7} - 7 = 0.
After considering the given data we conclude that the the real numbers are a = (-3/4) × (1/∛7), (3/4) ×(1/∛7),
In order to evaluate equations with fraction, we have to follow these steps
1. First Identify the operations that are being applied to the unknown variable.
2. Then Apply the inverse operations, one at a time, to both sides of the equation.
3. Finally write the last answer,
For the given case, we have 1/{64a³ + 7} - 7 = 0. We can evaluate this by first adding 7 to both sides of the equation to get 1/{64a³ + 7} = 7.
Therefore we can take the reciprocal of both sides to get {64a³ + 7} = 1/7. Finally, we can subtract 7 from both sides to get {64a³} = -48/7.
Hence , the real number(s) that satisfy the equation are a = (-3/4) × (1/∛7) , (3/4) ×(1/∛7).
To learn more about fraction
https://brainly.com/question/78672
#SPJ1
4
Pylhagorean thearem
finding C
a: 2.15
a²+ b² = c²
2.15 + 5.61=C²
Applying the Pythagorean theorem, the value of c is 6.0.
What is a Pythagorean theorem?A Pythagorean theorem is a principle that can be used to determine the unknown side of a given right triangle when the values of its other two sides are given. Pythagorean theorem states:
[tex]Hyp^{2}[/tex] = [tex]Adj^{2} + Opp^{2}[/tex]
So that from the given question, applying the Pythagorean theorem;
[tex]c^{2}[/tex] = [tex]a^{2} + b^{2}[/tex] - 2abCos θ
But, a = 2.15 and b = 5.61
So that;
[tex]c^{2}[/tex] = [tex]2.15^{2}[/tex] + [tex]5.16^{2}[/tex]
= 4.6225 + 31.472
[tex]c^{2}[/tex] = 36.0946
c = [tex]\sqrt{36.0946}[/tex]
= 6.0079
c = 6.0
The value of c is 6.0.
Learn more about Pythagorean theorem at https://brainly.com/question/16176867
#SPJ1
(x-4 8/11) + 1 9/11= 7 3/11 solve for x
Answer:
x = 10 2/11
Step-by-step explanation:
(x - 52/11) + 20/11 = 80/11
x - 52/11 = 60/11
x = 112/11
x = 10 2/11
Sketch an angle of 250 in standard position and then identify and draw its reference angle
Check the picture below.
What is the volume of this rectangular prism?
7 cm
2 cm
2 cm
Answer:
Step-by-step explanation:
28
V=b*w*h
b=2
w=2
h=7
V=2*2*7=28
Answer:
B.28
Step-by-step explanation:
Volumn=Base*Height
=2*2*7
=28
According to government data, the probability that a man between the ages of 25
and 29 was never married is 25%. In a random survey of 40 men in this age group:
Blank 1: What is the mean of the number that never married?
Enter your answer as a whole number.
Blank 2: What is the standard deviation of the number that never married?
Round your answer to three decimal places.
Blank 3: What is the probability that exactly thirteen were never married?
Round your answer to three decimal places. Enter the leading O on your decimal.
Example:
0.123
0.045
Blank 4: What is the probability that ten or fewer were never married?
Round your answer to three decimal places. Enter the leading 0 on your decimal.
Example:
The probability for different conditions that a man between the ages of 25 and 29 was never married is 25% with sample size 40 are,
Mean representing man never married =10.
Standard deviation of the never married man =2.7
probability of the men exactly 13 never married = 0.137.
probability that ten or fewer men never married = 0.056.
probability representing 21 were married = 0.3188
probability of man never married between age 25 and 29 = 25%
Sample size 'n' = 40
Blank 1,
The expected number of men who have never been married is,
Expected value
= n × p
= 40 × 0.25
= 10
The mean number of men who have never been married is 10.
Blank 2,
The standard deviation of the number of men who have never been married can be calculated using the formula,
Standard deviation = √(n × p × (1 - p))
where n is the sample size
and p is the probability of success never been married.
Standard deviation
= √(40 × 0.25 × (1 - 0.25))
= 2.7
The standard deviation of the number of men who have never been married is 2.7.
Blank 3,
The probability of exactly 13 men who have never been married can be calculated using the binomial probability formula,
P(X = a) = ⁿCₐ× pᵃ × (1 - p)ⁿ⁻ᵃ
where n is the sample size,
p is the probability of success never been married,
and k is the number of men who have never been married.
P(X = 13)
= (⁴⁰C₁₃) × 0.25¹³ × (1 - 0.25)⁴⁰⁻¹³
= 0.137
The probability that exactly thirteen men were never married is 0.137.
Blank 4,
The probability of ten or fewer men who have never been married can be calculated using the cumulative binomial probability formula,
P(X ≤ k) = [tex]\sum[/tex]ⁿCₓ × pˣ (1 - p)ⁿ⁻ˣ for x = 0 to k
where n is the sample size,
p is the probability of success never been married,
and k is the maximum number of men who have never been married.
P(X ≤ 10) = ∑⁴⁰Cₓ × 0.25ˣ × (1 - 0.25)⁴⁰⁻ˣ for x = 0 to 10
⇒ P(X ≤ 10) = 0.056
The probability that ten or fewer men were never married is 0.056.
Blank 5,
probability of 21 were married
= (⁴⁰C₂₁) × 0.75²¹ × (1 - 0.75)⁴⁰⁻²¹
= 131,282,408,400 × 0.00282475249 × 0.000000009313
=0.3188
Therefore, the probability for different conditions are,
Mean of the man never married =10.
Standard deviation never married =2.7
probability of exact 13 men never married = 0.137.
probability of ten or fewer men never married = 0.056.
probability of 21 were married = 0.3188
learn more about probability here
brainly.com/question/31098539
#SPJ1
Question 1(Multiple Choice Worth 2 points)
(Effects of Changes in Data MC)
The average high temperatures in degrees for a city are listed.
58, 61, 71, 77, 91, 100, 105, 102, 95, 82, 66, 57
If a value of 120.5° is added to the data, how does the mean change and by how much?
The mean stays at 83.5°.
The mean increases by 3.1°.
The mean increases by 3.5°.
The means stays at 80.4°.
Question 2(Multiple Choice Worth 2 points)
(Effects of Changes in Data MC)
The average high temperatures in degrees for a city are listed.
58, 61, 71, 77, 91, 100, 105, 102, 95, 82, 66, 57
If a value of 71° is changed to 93°, which of the following measures changes the most and what is the new value?
Mean 82.3°
Median 86.5°
Range 48°
IQR 34°
Question 3(Multiple Choice Worth 2 points)
(Effects of Changes in Data MC)
The average high temperatures in degrees for a city are listed.
58, 61, 71, 77, 91, 100, 105, 102, 95, 82, 66, 57
If a value of 80.4° is added to the data, how does the range change?
The range decreases to 46°.
The range stays 48°.
The range stays 49°.
The range increases to 50°.
Question 4(Multiple Choice Worth 2 points)
(Effects of Changes in Data MC)
The shoe sizes of a group of middle school girls are shown.
5.5 6 7 8.5 6.5
6.5 8 7.5 8 5
If a shoe size of 9 is added to the data, how does the median change?
The median stays 6.75.
The median increases to 6.75.
The median stays 7.
The median increases to 7.
Question 5(Multiple Choice Worth 2 points)
(Effects of Changes in Data MC)
The shoe sizes of a group of middle school girls are shown.
5.5 6 7 8.5 6.5
6.5 8 7.5 8 5
If a shoe size of 6 is added to the data, how does the IQR change?
The IQR becomes a 1.5.
The IQR remains a 2.
The IQR remains a 2.5.
The IQR becomes a 3.
Question 6(Multiple Choice Worth 2 points)
(Effects of Changes in Data MC)
The average high temperatures in degrees for a city are listed.
58, 61, 71, 77, 91, 100, 105, 102, 95, 82, 66, 57
If a value of 98° is added to the data, how does the mean change?
The mean increases by 8.2°.
The mean decreases by 8.2°.
The mean increases by 1.4°.
The mean decreases by 1.4°.
Question 7(Multiple Choice Worth 2 points)
(Effects of Changes in Data MC)
The average high temperatures in degrees for a city are listed.
58, 61, 71, 77, 91, 100, 105, 102, 95, 82, 66, 57
If a value of 60° is added to the data, how does the median change?
The median stays at 80°.
The median stays at 79.5°.
The median decreases to 77°.
The median decreases to 82°.
WILL GIVE BRAINLIEST pls help me asap
1. If a value of 120.5° is added to the data, 58, 61, 71, 77, 91, 100, 105, 102, 95, 82, 66, 57, D. The mean increases by 3.1°.
How to solve2. If a shoe size of 6 is added to the ordered data, 5, 5.5, 6, 6.5, 6.5, 7, 7.5, 8, 8, 8.5, B. The IQR remains a 2.
3. If a value of 101° is added to the data, 58, 61, 71, 77, 91, 100, 105, 102, 95, 82, 66, 57, B. The mean increases by 1.6°.
4. If a shoe size of 9 is added to the ordered data, 5, 5.5, 6, 6.5, 6.5, 7, 7.5, 8, 8, 8.5, the median that was 6.75, now D. The median increases to 7.
5. If a value of 60° is added to the data, 58, 61, 71, 77, 91, 100, 105, 102, 95, 82, 66, 57, C. The median decreases to 77°.
6. If a value of 80.2° is added to the data, 58, 61, 71, 77, 91, 100, 105, 102, 95, 82, 66, 57, C. The range stays at 48°.
7. If a value of 58° is added to the data, (57, 58, 61, 66, 71, 77, 80.8, 82, 91, 95, 100, 102, 105), the measure that chances the most is the D. IQR with the new value as 32°.
To compute the interquartile range, determine the median of the data's lower and upper half and subtract quartile 1 from quartile 3.
1. Average high temperatures for a city:
58, 61, 71, 77, 91, 100, 105, 102, 95, 82, 66, 57
Total = 965°
Average = 80.4° (965° ÷ 12)
New average with 120.5° added:
New total = 1,085.5° (965° + 120.5°)
Average = 83.5° (1,085.5° ÷ 13)
The difference in mean = 3.1° (83.5° - 80.4°)
2. Shoe Sizes:
5 5.5 6 6.5 6.5 7 7.5 8 8 8.5
Median = 6.75 (6.5 + 7)/2
Interquartile = 8 - 6 = 2
Add shoe size 6 to the data:
5 5.5 6 6 6.5 6.5 7 7.5 8 8 8.5
Median = 6.5
IQR = 8 - 6 = 2
3. Average Temperature:
58, 61, 71, 77, 91, 100, 105, 102, 95, 82, 66, 57
Total = 965°
Mean = 80.4° (965° ÷ 12)
If a value of 101° is added to the data, the new mean becomes:
58, 61, 71, 77, 91, 100, 105, 102, 95, 82, 66, 57, 101
Total = 1,066
Mean = 82° (1,066 ÷ 13)
The difference in the mean = 1.6° (82° - 80.4°)
4. Raw Data:
5.5 6 7 8.5 6.5
6.5 8 7.5 8 5
Arranged:
5 5.5 6 6.5 6.5 7 7.5 8 8 8.5
Median of data = 6.75 (6.5 + 7) ÷ 2
When 9 is added to the data:
5 5.5 6 6.5 6.5 7 7.5 8 8 8.5 9
Median = 7
5. 58, 61, 71, 77, 91, 100, 105, 102, 95, 82, 66, 57
Ordered Data:
57, 58, 61, 66, 71, 77, 82, 91, 95, 100, 102, 105
Median = 79.5 (77 + 82)/2
Add 60°, the new ordered data:
57, 58, 60, 61, 66, 71, 77, 82, 91, 95, 100, 102, 105
Median = 77
6. Range:
Highest value = 105
Lowest value = 57
Difference = 48
Range = 48 (105 - 57)
Add 80.2°, the range stays at 48° (105 - 57)
7. Average high temperatures:
Raw Data:
58, 61, 71, 77, 91, 100, 105, 102, 95, 82, 66, 57
Ordered Data:
57, 58, 61, 66, 71, 77, 82, 91, 95, 100, 102, 105
Total = 965
Mean = 80.4 (965 ÷ 12)
Median = 79.5 (77 + 82)/2
IQR = 39 (100 - 61)
Range = 48 (105 - 57)
A new temperature of 58° is added,
57, 58, 58, 61, 66, 71, 77, 82, 91, 95, 100, 102, 105
Total = 1,023
Mean = 78.7 (1,023 ÷ 13)
Median = 77
IQR = 32 (93 - 61)
Range = 48 (105 - 57)
Read more about mean here:
https://brainly.com/question/1136789
#SPJ1
Point P whose coordinates are (-9, 12) has an image of P' (-6, 8) after a dilation centered at the origin. What is the algebraic description of this transformation?
The algebraic description of this transformation is (x, y) = 2/3(x, y)
What is the algebraic description of this transformation?From the question, we have the following parameters that can be used in our computation:
P = (-9. 12)P' = (-6, 8)The scale factor is calculated as
Scale factor = P'/P
Substitute the known values in the above equation, so, we have the following representation
Scale factor = (-6, 8)'/(-9, 12)
Evaluate
Scale factor = 2/3
So, the scale factor is 2/3
This means that the algebraic description is (x, y) = 2/3(x, y)
read more about scale factor at
brainly.com/question/29229124
#SPJ1
Suppose we want to choose 7 letters, without replacement, from 12 distinct letters. If the oeder of the choices matters, how many ways can this be done
There are 17,297,280 ways to choose 7 letters, without replacement, from 12 distinct letters when the order matters.
What is permutation?
A permutation of 2 lines is a reordering of two distinct elements. In other words, given two elements, a permutation of 2 lines is a way of arranging them in a different order. For example, if the two elements are A and B, the possible permutations of 2 lines are AB and BA.
If the order of the choices matters, we need to use the concept of permutations. The number of ways to choose 7 letters from 12 distinct letters without replacement and with order mattering is given by:
12P7 = 12! / (12-7)!
= 12! / 5!
= 12 x 11 x 10 x 9 x 8 x 7 x 6
= 17,297,280
Therefore, there are 17,297,280 ways to choose 7 letters, without replacement, from 12 distinct letters when the order matters.
Learn more about permutation here,
https://brainly.com/question/28065038
#SPJ1
2. Find the value of X 5x-7 3x +5
Answer:
Step-by-step explanation:
yes it is
