Answer:
y = 7x
Step-by-step explanation:
it is simple : x times how much is y ?
2 × ? = 14
? = 7
control
4 × ? = 28
? = 7
identical, so it is correct, and y = 7x is the answer.
PLEASE HELP A WHOPPING 100 POINTS!!! AND BRAINLY NO LINKS
Enter your answer and show all the steps that you use to solve this problem in the space provided. Use the 30°-60°-90° Triangle Theorem to find the answer.
Find the value of x. If your answer is not an integer, leave it in simplest radical form. The diagram is not drawn to scale.
Answer: 5[tex]\sqrt{3}[/tex]
Step-by-step explanation:
The 30-60-90 triangle rule states that the hypotenuse is twice the length of the shortest leg (which would be 5) and the longer leg is [tex]\sqrt{3}[/tex] times the length of the shorter leg.
Since we are trying to find x we would use the rule for the longer leg
so 5 * [tex]\sqrt{3}[/tex] would just be 5[tex]\sqrt{3}[/tex]
The value of the x is 5√3 after we successfully do the application of the 30°-60°-90° Triangle theorem.
What is Triangle theorem?The 30°-60°-90° Triangle Theorem states that in such a triangle, the side opposite the 30° angle is half the length of the hypotenuse, and the side opposite the 60° angle is the product of the length of the hypotenuse and the square root of 3 divided by 2.
here, we have,
Using this theorem, we can write:
y = hypotenuse
Opposite of 30° angle = 5 = hypotenuse/2
Opposite of 60° angle = x = hypotenuse × (√(3)/2)
Solving for the hypotenuse in terms of y from the first equation, we get:
hypotenuse = 5×2 = 10
Substituting this value into the third equation, we get:
x = 10 × (√(3)/2) = 5 × √(3)
Hence, The value of the x is 5√3 after we successfully do the application of the 30°-60°-90° Triangle theorem.
To know more about triangle, visit:
brainly.com/question/29407794
#SPJ2
you are testing h0: μ=10 against ha: μ≠10 based on an srs of 15 observations from a normal population. what values of the t statistic are statistically significant at the α=0.005 level?
The values of the t statistic that are statistically significant at the α=0.005 level are t < -2.977 or t > 2.977.
To determine the values of the t statistic that are statistically significant at the α=0.005 level, we need to find the critical values of the t-distribution with 14 degrees of freedom (df = n - 1 = 15 - 1 = 14).
Using a t-table or a calculator, we can find that the critical values for a two-tailed test with α=0.005 are -2.977 and 2.977. This means that any t statistic less than -2.977 or greater than 2.977 would be considered statistically significant at the α=0.005 level.
In other words, if the calculated t statistic falls within the range of -2.977 to 2.977, we would fail to reject the null hypothesis (H0: μ=10) and conclude that there is not enough evidence to suggest that the population mean is different from 10. However, if the calculated t statistic falls outside of this range, we would reject the null hypothesis and conclude that there is evidence to suggest that the population mean is different from 10.
So, the values of the t statistic that are statistically significant at the α=0.005 level are t < -2.977 or t > 2.977.
To learn more about the values of the t statistic that are statistically significant, click here: https://brainly.com/question/16244531
#SPJ11
I need help………………………….
The equation representing the scenario is 1.5x + 8 = 20 and the possible number of rides is 8.
What is an equation?An equation is written in the form of variables and constants separated by the operation of multiplication and division,
An equation states that terms in different forms on both sides of the equality sign are equal.
Multiplication and division do not separate the terms of an equation.
Given, The cost of entering the fair is $8 and the cost of each ride is $1.50.
Let, The number of rides be 'x'.
Therefore, The equation can be formed as, 1.5x + 8 = 20.
Now, To obtain the number of rides,
1.5x + 8 = 20.
1.5x = 12.
x = 12/1.5.
x = 8.
So, 8 rides are possible.
learn more about equations here :
https://brainly.com/question/10413253
#SPJ9
6. Write the equation of a circle whose center is (0,.-5) and radius is 7.
The equation of a circle whose center is (0,.-5) and radius is 7 as required is; (x - 0)² + (y + 5)² = 7².
What is the equation of the given circle?It follows from circle equations that; (x - a)² + (y - b)² = r² represents the equation of a circle whose center is; (a, b) and radius is; r.
Hence, for the given circle whose center is (0,.-5) and radius is 7.
(x - 0)² + (y + 5)² = 7²
Therefore, it can be inferred that the equation of the circle in discuss is; (x - 0)² + (y + 5)² = 7².
Read more on equation of a circle;
https://brainly.com/question/24810873
#SPJ1
Select the correct answer from each drop-down menu.
-6 -5 -4 -3 -2
m
w
4
5 6
The degree of the polynomial function represented by the graph is
and its leading coefficient is
Reset
Next
The degree of the polynomial function represented by the graph is 4 and its leading coefficient is negative
How to complete the blanksFrom the question, we have the following parameters that can be used in our computation:
The graph
The degree of the polynomial function is the number of times the curve tends to touch or intersect with the graph
In this case, we have
Degree = 4
For the leading coefficient, we have
leading coefficient = negative
This is because the graph opens down
Read more about polynomial at
https://brainly.com/question/7693326
#SPJ1
A cylindrical measuring jug has a total volume of 500 ml and its radius is 3 cm. There are markings on the jug to show every 100 ml. What is the distance, in cm, between each of these markings?
Answer:
The volume of a cylinder can be calculated using the formula:
V = πr^2h
Where r is the radius and h is the height. In this case, the volume is 500 ml, or 0.5 liters. To convert liters to cm, we can use the conversion factor 1 liter = 10 cm^3. Therefore, the height of the jug can be calculated as follows:
0.5 liters = 0.5 x 10 cm^3 = 500 cm^3
V = πr^2h
500 = π x (3 cm)^2 x h
h = 500 / (π x (3 cm)^2)
Approximating π as 3.14, we get:
h = 500 / (3.14 x (3 cm)^2)
h = 500 / (3.14 x 9 cm^2)
h = 500 / 28.26 cm^2
h = 17.67 cm
So the height of the cylindrical measuring jug is approximately 17.67 cm. Therefore, the distance between each marking, which represents 100 ml of volume, is 17.67 cm / 5 = 3.534 cm.
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
To determine the distance between each of the markings, we need to determine the height of the jug for each 100 ml increment.
The volume of a cylinder is given by the formula V = πr^2h, where r is the radius and h is the height. We know the volume of the jug is 500 ml, or 0.5 liters, and the radius is 3 cm, so we can solve for the height:
0.5 liters = π * (3 cm)^2 * h
h = 0.5 liters / π * (3 cm)^2
h = 0.5 liters / 9π cm^2
Now that we have the height of the jug per 100 ml, we can divide it by 5 to determine the height between each marking:
Marking height = h / 5
= 0.5 liters / 9π cm^2 / 5
= 0.1 liters / 9π cm^2
So the distance between each of the markings is the height of the jug for each 100 ml increment divided by 5.
A reflection in a line maps point B(3, - 1) to point B(11, - 1) . What is the equation of the line of reflection?
Check the picture below.
Determine whether f has an inverse function. If it does, find the inverse function and state any restrictions on its domain:
f(x) =[tex]\frac{x - 7}{x + 4}[/tex]
The inverse function of f(x) = [tex]\frac{x-7}{x+4}[/tex] is f⁻¹(x) = [tex]\frac{4x+7}{1-x}[/tex].
What is the inverse function?A function that can reverse into another function is known as an inverse function or anti function. In other words, the inverse of a function "f" will take y to x if any function "f" takes x to y. When a function is written as "f" or "F," its inverse is written as "f-1" or "F-1." Here, (-1) should not be confused with an exponent or a reciprocal.
Given that the function is f(x) = [tex]\frac{x-7}{x+4}[/tex]
Change f(x) (or whatever the function name is) to "y". In this case you'd get:
y = [tex]\frac{x-7}{x+4}[/tex]
Now, switch x and y. Wherever you see y, put x. And wherever you see x, put y.
x = [tex]\frac{y-7}{y+4}[/tex]
Solve the new equation for y.
x (y + 4) = y - 7
xy + 4x = y - 7
4x + 7 = y - xy
4x + 7 = y (1 - x)
y = [tex]\frac{4x+7}{1-x}[/tex]
Change y back to function notation. The correct notation for the "inverse of f(x)" is "f⁻¹(x)". So that would give you:
f⁻¹(x) = [tex]\frac{4x+7}{1-x}[/tex]
To learn more about inverse function of f(x) visit:
brainly.com/question/17872426
#SPJ1
which pair of events are overlapping when rolling a single six-sided die? a.) getting an even number getting a number less than 5 b.) getting a prime number getting a number greater than 5 c.) getting a 2 getting an odd number d.) getting an even number
The overlapping events when rolling a single six-sided die are (a) "getting an even number" and "getting a number less than 5."
The overlapping event occurs in option (a), where getting an even number and getting a number less than 5 have some numbers in common. The numbers 2 and 4 are both even and less than 5. Hence, these two events overlap. The other options do not overlap because getting a prime number, getting a number greater than 5, and getting a 2 do not have any numbers in common. The overlapping events when rolling a single six-sided die are (a) "getting an even number" and "getting a number less than 5."
Learn more about even number :
https://brainly.com/question/2289438
#SPJ4
What is the azimuth of an object that is ten degrees south of east?
Answer:
Step-by-step explanation:
135°
Quite commonly, azimuths or compass bearings are stated in a system in which either north or south can be the zero, and the angle may be measured clockwise or anticlockwise from the zero.
Let f(x) = x^2 − 2x + 1. Find the inverse function of f by identifying an appropriate restriction of its domain.
The inverse of f(x) is restricted to the domain x ≥ 1, since this is when[tex]x^2 − 2x + 1[/tex] is always greater than 0.
To find the inverse function of f(x), we must first determine the domain of f(x). We can do this by finding the values of x where f(x) is greater than or equal to 0.
We can start by setting f(x) to 0 and solving for x:
[tex]x^2 − 2x + 1 = 0[/tex]
[tex]x^2 − 2x + 1 − 1 = 0 − 1[/tex]
[tex]x^2 − 2x = -1[/tex]
(x − 1)(x − 1) = -1
x = 1
Therefore, the inverse of f(x) is restricted to the domain x ≥ 1, since this is when [tex]x^2[/tex] − 2x + 1 is always greater than 0.
The inverse of a function f(x) is a function that "undoes" f(x). In order to find the inverse of a function, the domain of the function must first be identified. This is done by solving f(x) = 0 and determining which values of x make the equation equal to 0.In the case of f(x) =[tex]x^2[/tex] − 2x + 1, the equation is equal to 0 when x = 1. This means that the inverse of f(x) is restricted to the domain x ≥ 1, since this is when [tex]x^2[/tex] − 2x + 1 is always greater than 0.Once the domain of the function is restricted, the inverse function can be found by switching the x and y values, and solving for the new equation. This process can be used to find the inverse of any function, as long as the domain is appropriately restricted.
Learn more about inverse here
https://brainly.com/question/13715269
#SPJ4
27 - 4x + x² can be written in the form (x + a)²+ b, where a and b are numbers. Work out the values of a and b.
Answer:
To rewrite the expression 27 - 4x + x² in the form (x + a)² + b, we can complete the square.
Starting with x² + (-4x) + 27:
x² - 4x + 4x² = 4x² - 4x
Adding (4/2)² = 4 to both sides:
4x² - 4x + 4 = 4x² - 4x + 4
The expression is now in the form (x - 2)² + 0, so a = -2 and b = 0.
Therefore, 27 - 4x + x² = (x - 2)² + 0.
In a group of 48 children, 25% have blue eyes. How many children do not
have blue eyes?
Answer:
Step-by-step explanation:
48----------------100%
x------------------75%
x=36
From the top of a canyon, the angle of depression to the far side of the river is 52°, and the angle of depression to the near side of the river is 71°. The depth of the canyon is 230 feet. What is the width of the river at the bottom of the canyon? Round to the nearest foot.
Trig question
Answer:
49ft
Step-by-step explanation:
Sketching out the problem, we get something like the diagram below. Assuming the canyon makes a roughly 90° angle with the ground, we can see that we have two right-angled triangles formed.
Focusing on the first triangle: since we have the angle, and we know the height of the canyon is 230ft, we can also find the combined width of the ground and river (let's call this y) using cos:
cos38=230/y
0.7880107536=230/y
y=230/0.7880107536= 291.874189467ft
Focusing now on the first triangle: since we have the angle, and we know the height of the canyon is 230ft, we can find the width of the ground (let's call this x) using cos:
cos19=230/x
0.94551857559=230/x
x=230/0.94551857559= 243.252756673ft
Therefore, the width of the river must be the difference between the combined width of the ground and river, minus the width of the ground:
291.874189467ft - 243.252756673ft = 48.621432794ft ≈ 49ft
x+1/x+4=3 find the value of x
PLEASE GIVE BRAINLIEST!
thank you and have a good day ;)
Answer:
-11/2
Step-by-step explanation:
Multiply both sides by a polynomial to clear functions
x + 1 = 3(x +4)
x + 1 = 3x + 12
x - 3x = 12 -1
-2x = 11
x = -11/2
I hope this helps
Answer:
The answer can be written in multiple forms
Fraction Form: [tex]x=-\frac{11}{2}[/tex]
Decimal Form: [tex]x=-5.5[/tex]
Step-by-step explanation:
Given
[tex]\frac{x+1}{x+4}=3[/tex]
Lets solve for [tex]x[/tex].
Eliminate the fraction by multiplying each side of the equation by [tex]x+4[/tex].
[tex]x+1=3(x+4)[/tex]
Simplify the right side by applying the distributive property.
[tex]x+1=(3*x)+(3*4)[/tex]
[tex]x+1=3x+12[/tex]
Subtract [tex]3x[/tex] from both sides of the equation.
[tex]x+1-3x=12[/tex]
Add [tex]x[/tex] and [tex]-3x[/tex].
[tex]-2x+1=12[/tex]
Subtract [tex]1[/tex] from both sides of the equation.
[tex]-2x=11[/tex]
Divide each side of the equation by [tex]-2[/tex].
[tex]x=-\frac{11}{2}[/tex]
Learn more about the distributive property here
https://brainly.com/question/24672040
5c−3d+115, c, minus, 3, d, plus, 11 when c=7c=7c, equals, 7 and d=8d=8d, equals, 8.
The value of the expression 5c−3d+11 is 22 when c is 7 and d is 8.
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is 5c−3d+11
Five c minus three times of d plus eleven.
c and d are the variables in the expression
Given that value of c is seven and value of d is eight
c=7 and d=8
Now we have to find the value of the expression when c is 7 and d is 8
Plug in the value of c and d in expression.
5(7)-3(8)+11
Five times seven is 35 and three times of eight is 24, we get
35-24+11
22
Hence, the value of the expression 5c−3d+11 is 22 when c is 7 and d is 8.
To learn more on Expressions click:
https://brainly.com/question/14083225
#SPJ9
Complete question is given below,
5c−3d+115, find the value of expression when c=7 and d=8
Why the probability of the union of two events occurring can never be more than the probability of the intersection of two events occurring.
The statement "the probability of the union of two events occurring can never be more than the probability of the intersection of two events occurring." is false.
What is meant by probability?
The probability of an occurrence is a figure that represents how likely it is that the event will take place. In terms of percentage notation, it is expressed as a number between 0 and 1, or between 0% and 100%. The higher the likelihood, the more likely it is that the event will take place.
The given statement is:
"the probability of the union of two events occurring can never be more than the probability of the intersection of two events occurring."
This is a false statement.
The probability of the union of two events is the probability of individual events without considering the probability of the intersection of the events.
When the events do not have an intersection, then the probability of a union of events is greater than the probability of an intersection of events.
The chance of both occurrences occurring together is given by the union of two events, but the probability of both events occurring simultaneously is given by the intersection of two events, which is smaller than probability of union of events.
Therefore the statement "the probability of the union of two events occurring can never be more than the probability of the intersection of two events occurring." is false.
To learn more about probabilities, follow the link.
https://brainly.com/question/13604758
#SPJ1
Brian and Mason buy cars at the same time.
The function f(t) = 21,500(0.87)t models the value of Brian’s car t years after purchase.
The function g(t) = 19,200(0.91)t models the value of Mason’s car t years after purchase.
What is the approximate difference between the values of the cars after 4 years?
The approximate difference between the values of the cars after 4 years is $134.82.
What is Function?Each element of X receives exactly one element of Y when a function from one set to the other is used. The sets X and Y are collectively referred to as the function's domain and codomain, respectively. Initially, functions represented the idealized relationship between two changing quantities.
According to question:To find the difference between the values of the cars after 4 years, we can subtract the value of Mason's car from the value of Brian's car at t = 4.
f(4) = 21,500(0.87)^4 ≈ 11,426.91
g(4) = 19,200(0.91)^4 ≈ 11,292.09
Therefore, the approximate difference between the values of the cars after 4 years is:
f(4) - g(4) ≈ 11,426.91 - 11,292.09 ≈ 134.82
So the approximate difference is $134.82.
To know more about Function visit:
brainly.com/question/28278699
#SPJ1
approximately how many acres are there in a lot 1/2 mile by 1/2 mile?
There are approximately 160 acres in a lot that is 1/2 mile by 1/2 mile.
To find the number of acres in a lot, you can use the following formula:
Number of acres = (length in feet) x (width in feet) / 43,560
First, convert the length and width from miles to feet. There are 5,280 feet in a mile, so:
Length in feet = 1/2 mile x 5,280 feet/mile = 2,640 feet
Width in feet = 1/2 mile x 5,280 feet/mile = 2,640 feet
Next, plug these values into the formula:
Number of acres = (2,640 feet) x (2,640 feet) / 43,560 = 174,240,000 / 43,560 = 160 acres
Therefore, there are approximately 160 acres in a lot that is 1/2 mile by 1/2 mile.
Learn more about Acres and Miles here: brainly.com/question/8425742
#SPJ11
Andy bought cupcakes for his sister's birthday party. 75% of the 16 cupcakes had sprinkles on top. How many cupcakes had sprinkles?
What is the definition of equivalent ratios?
lindsey was the top scorer in a women's professional basketball league for the 2006 regular season, with a total of 862 points. The number of two-point field goals that lidnsey made was 71 less than double the number of three-point field goals she made. The number of free throws (each worth one point) she made was 21 less than the number of two-point field goals she made. Find how many free throws, two-point field goals, and three-point field goals lindsey made during the 2006 regular season.
Lindsey made 35 free throws, 143 two-point field goals, and 107 three-point field goals during the 2006 regular season.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Let's denote the number of two-point field goals Lindsey made by x, and the number of three-point field goals she made by y.
x + y + (x+y-71)/2 + (x+y-71)/2 - 21 = 862 (total points equation)
x = 2y - 71 (two-point field goals equation)
Simplifying the first equation and substituting the second equation, we get:
3x + 3y = 1964
Substituting x = 2y - 71 into this equation, we get:
3(2y-71) + 3y = 1964
Solving for y, we get:
y = 107
Substituting this value into the equation x = 2y - 71, we get:
x = 143
Now, (x + y - 71)/2 - 21 = (143 + 107 - 71)/2 - 21 = 35
Therefore, Lindsey made 35 free throws, 143 two-point field goals, and 107 three-point field goals during the 2006 regular season.
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ9
Who is funnymike fav badkid?
Answer: badkid jay
Step-by-step explanation: because he gets him everything he ask for and shows favoritism towards him
Answer:
Step-by-step explanation:
PennyWise
NickleSmart
DimeSharp
QuarterIntelligent
I NEEED HELP ON THIS ASAP!!!
The positions of points is shown below.
What is Point?A point in mathematics is symbolised by a dot (.) and used to indicate an accurate location in space. It lacks all three dimensions—length, width, and height. It has no size, in other terms. A point's name is typically written in all caps.
Given:
We have to mark a point in three position in according to the line.
First, point on line means point should be marked on the line.
Then, the point above the line means that the point should be located on the upper side of the line.
Lastly, the point below the line means that the point should be located on the lower side of the line.
Learn more about Point here:
https://brainly.com/question/7158994
#SPJ1
Substitute -4 for a and 16 for b in the given equations. Which statements are true?
Select all that apply.
-The equation 2 (2x - 11) + 6 = ax + b has no solution.
-The equation 4x - 8 (x - 2) = ax + b has infinitely many solutions.
-The equation -5 (4x-6) 14 = ax + b has exactly one solution.
-The equation 10+ x + 2 - 6x = ax + b has no solution.
-The equation 9x +3 - 13x6 = ax + b has infinitely many solutions.
Answer:
After substituting -4 for "a" and 16 for "b", the equation can be simplified and solved.
-The equation 2 (2x - 11) + 6 = -4x + 16
Expanding the equation on the left-hand side, we get:
4x - 22 + 6 = -4x + 16
Simplifying, we get:
10 = -10x + 32
Subtracting 32 from both sides, we get:
-22 = -10x
Dividing both sides by -10, we get:
x = 2.2
This means that there is exactly one solution, which is x = 2.2. So, statement 3 is true.
-The equation 4x - 8 (x - 2) = -4x + 16
Expanding the equation on the left-hand side, we get:
4x - 8x + 16 = -4x + 16
Combining like terms, we get:
-4x + 16 = -4x + 16
This equation is true for all values of x, so there are infinitely many solutions. So, statement 2 is true.
-The equation 10 + x + 2 - 6x = -4x + 16
Expanding the equation on the left-hand side, we get:
10 + x + 2 - 6x = -4x + 16
Combining like terms, we get:
-5x + 12 = -4x + 16
Adding 4x to both sides, we get:
-x + 12 = 16
Adding x to both sides, we get:
12 = 16
This equation is not true for any values of x, so there are no solutions. So, statement 1 is true.
-The equation 9x +3 - 13x + 6 = -4x + 16
Expanding the equation on the left-hand side, we get:
9x + 3 - 13x + 6 = -4x + 16
Combining like terms, we get:
-4x + 9 = -4x + 16
Adding 4x to both sides, we get:
9 = 12
This equation is not true for any values of x, so there are no solutions. So, statement 1 is true.
Therefore, the true statements are:
-The equation 2 (2x - 11) + 6 = ax + b has no solution.
-The equation 4x - 8 (x - 2) = ax + b has infinitely many solutions.
-The equation -5 (4x-6) 14 = ax + b has exactly one solution.
Write an equation in slope-intercept form of the line that passes through the points (2, 4) and (3, 6)
у:
The equation of the straight line would be -
y = 2x.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is that a straight line passes through the points (2, 4) and (3, 6).
We can write the slope as -
m = (6 - 4)/(3 - 2)
m = 2/1
m = 2
For the point (2, 4), we can write -
y = 2x + c
c = 4 - 4
c = 0
Therefore, the equation of the straight line would be -
y = 2x.
To solve more questions on functions & expressions, visit the link below
brainly.com/question/17613163
#SPJ1
Hassan is twice as old as Ali. Their ages add up to 39 years. How old is: (a) Ali, (b) Hassan?
Element X decays radioactively with a half life of 8 minutes. If there are 450 grams of Element X, how long, to the nearest tenth of a minute, would it take the element to decay to 37 grams?
If there are 450 grams of element and half life is 8 minutes, then it will take 28.83 minutes the element to decay to 37 grams
Half life of radio active element = 8 minutes
Initial quantity of radio active element = 450 gram
Final quantity of radio active element = 37 grams
y = a(0.5)^(t/h)
Substitute the values in the equation
37 = 450 (0.5)^(t/8)
Move 37 to left hand side of the equation
37 / 450 = 0.5^(t/8)
Convert the terms to logarithm
t/8 = [tex]log_{0.5}\frac{37}{450}[/tex]
t/8 = 3.60
t = 8 × 3.60
Multiply the numbers
t = 28.83 minutes
Therefore, the it will take 28.83 minutes to decay to 37 grams
Learn more about half life here
brainly.com/question/4318844
#SPJ4
Could somebody please tell me what angles A and B equal along with X?
Answer:
x = 28
m∠A = 76°
m∠B = 104°
Step-by-step explanation:
Given the figure we can see that the two angles which measure
2x + 20 and 4x - 8 are adjacent linear angles and therefore they are supplementary angles which further means they add up to 180°
So
2x + 20 + 4x - 8 = 180
2x + 4x + 20 - 8 = 180\
6x + 12 = 180
6x = 180 - 12
6x = 168
x = 168/6
x = 28
We also have the property that angles that are vertically opposite each other at the vertex of the intersection of two lines are equal
So the angle represented by 2x + 20 = 2(28) + 20 = 56 + 20 = 76°
∠A is a vertically opposite angle to this angle and therefore the magnitude of ∠A denoted by m∠A = 76°
The angle represented by 4x - 8 = 4(28) - 8 = 112 - 8 = 104°
Since ∠B is a vertically opposite angle to this angle we have
m∠B = 104°
he accompanying histogram shows the life expectancies at birth for 190 countries as collected by an international health agency.
a) Which would you expect to be larger: the median or the mean? Explain briefly.
b) Which would you report: the median or the mean? Explain briefly.
a) The median would be larger than the mean because the life expectancy of some countries may be much lower than the others, thus affecting the mean.
b) The median should be reported as it is a better measure of central tendency, as it is not affected by outliers.
a) The median is expected to be larger than the mean because the life expectancy of some countries may be much lower than the others, thus affecting the mean. The mean is calculated by adding all the values together and dividing by the number of values, and if there are any values that are much lower or higher than the rest, this will affect the mean significantly. The median, however, is the midpoint of the values, so outliers have less of an influence on it.
b) The median should be reported as it is a better measure of central tendency, as it is not affected by outliers. The median is the midpoint of the values, which means that if there are any values that are much lower or higher than the rest, it will not affect the median as much as it does the mean. This makes the median more accurate in representing the life expectancy of countries, as it is not skewed by outliers. Furthermore, the median is generally more reliable when dealing with skewed distributions, which is often the case with life expectancy data.
Learn more about median here
https://brainly.com/question/28060453
#SPJ4
