The scores of two groups can be compared using coefficient of variation;
Coefficient of variation (C.V.) = (Standard Deviation/ Mean) × 100%;
For Data set 1;
Standard deviation = 3.6
Mean = 35.3
C.V. = (3.6/35.3) × 100%;
= 10.19%
For Data set 2;
Standard deviation = 0.5
Mean = 34.1
C.V. = (0.5/34.1) × 100%;
= 1.46%
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Sara and her mom are planning to attend the symphony. An adult ticket is $54. The price of an adult ticket is 1/4 the price of a student ticket plus $25. Write an equation to determine how much Sara will pay for a student ticket.
The equation that represents the price of a student ticket will be 54 = x/4 + 25. Sara's spend for a student ticket will be $116.
What is the solution to the equation?The allocation of values to the parameters that produce the calculation's balance is known as an outcome.
Sara and her mom are planning to attend the symphony. An adult ticket is $54. A ticket for 1/4 an adult costs $25 more than it would be for a student.
Let x be the amount of pay for student's tickets. Then the equation will be
54 = x / 4 + 25
Simplify the equation, then we have
x / 4 = 54 - 25
x / 4 = 29
x = $116
The equation that represents the price of a student ticket will be 54 = x/4 + 25. Sara pays for a student ticket will be $116.
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If four dice are rolled, what is the probability of obtaining two identical odd numbers and two identical even numbers?
Answer:
1/24 = 0.041666666...
Step-by-step explanation:
when rolling 4 dice, we have
6 × 6 × 6 × 6 = 6⁴ = 1296
different possible outcomes (each die has 6 possible outcomes).
so, the probability of any particular pattern is then
1/1296.
we need to find how many patterns there are to represent the desired result of 2 identical odd numbers combined with 2 identical even numbers.
there are on every die 3 out of 6 options for an odd number, and the other 3 out of 6 options for an even number.
when we roll 2 dice, the patterns for 2 identical odd numbers are
1 1
3 3
5 5
so, 3 out of the possible 36.
similar for 2 identical even numbers.
2 2
4 4
6 6
3 out of the possible 36.
so, combining this together for a roll of 4 dice, we get then
3 × 3 out of the possible 36 × 36
9 out of the possible 1296 patterns.
that means the probability (desired over total possible cases) for a specific combination of 2-and-2 dice is
9/1296 = 1/144 = 0.006944444...
but there are 4! / (2! × 2!) = 6 possibilities (pick 2 out of 4, where the sequence of the picked ones does not matter) to pick 2 dice out of 4 and to show the same pattern across the 4 dice, as e.g. for the basic pattern 1 1 2 2 we can have
1 1 2 2
1 2 1 2
1 2 2 1
2 1 2 1
2 1 1 2
2 2 1 1
all of the 9 patterns have these 6 combination possibilities.
so, we need to multiply the individual pattern probability by 6 for the total probability
1/144 × 6 = 6/144 = 1/24 = 0.041666666...
round 184329 to the nearest 100
Answer:
184300
Step-by-step explanation:
When rounding to the nearest anything, you look at the place 1 unit smaller. Here, we'd look at the tens place.
184329
Anything 5 or greater increases the value of the place 1 unit bigger. Here, we have a 2 in the tens place. That doesn't increase the 3 in the hundreds place, so we round down to 184300.
56) The length of a rectangle is 1 inch more than 4 times its width. The area of the rectangle is 3 square
inches. What is the perimeter of the rectangle?
Perimeter of rectangle is 9.5 inches
If the length of the rectangle is l and its width is w,
l = 4w + 1, and
lw = (4w+1)×w = 3.
This yields 4w² + 1w -3= 0, which can be solved in the normal way for quadratic equations.
Solving the equation we get as
w=0.75 or w=-1
as it an not be negative value hence w=0.75
l=4
Perimeter of rectangle is 2*(l+w)= 9.5 inches.
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A city has a population of 2,549,786 people. Estimate this population to the nearest million. Express your answer as the product of a single digit and a power of 10.
Rounded to the nearest million,the population is about ____
Written as the product of a single digit and a power of 10, this number is ___x 10^_
Please answer this ^-^
Answer:2,549,786 rounded to the nearest million is 3,000,000
Pls give me brainliest if I am rigth
Step-by-step explanation:3,000,000 written as a power of ten is
Write an algebraic expression
to represent each verbal expression.
the sum of six times a number and 25
Answer:
6x+25
Step-by-step explanation:
6 times a number. Let x represent that number.
6x
It also says the to add 25 to the expression.
Add 25 to 6x.
6x+25
Hope this helps!
Please mark as brainliest if correct!
Which of the following could be used to
determine the number of hits a player has
during the season?
h = Ab
h=A+b
A.
B.
C. h=
D. h=
A
b
b
A
It was mostly during C . Dry season
The “Cricket Season” is the period of days where cricket is played in a country when the pitches get dry and also this is the period where the domestic matches begin.
And this season varies with countries, in India it starts with the Ranjit Trophy, Sheffield Shield for Australia etc.
Cricket seasons are the times of the year when cricket is played. Because top-class cricket is almost always played outdoors, on uncovered pitches, and rain prevents play, the seasons in each country are geared to coincide with the driest months of the year
The cricket season starts at the beginning of April and finishes at the end of September. As the time zones move around the planet, the seasons will differ in other countries.
In the UK,
professional games have occasionally taken place at the end of March but the season will normally begin at the start of April.
In India
The cricket season in India will usually begin in mid-September. Often, there are senior women’s games starting things off before men’s tournaments commence in October.
In Australia
Cricketers in Australia may start playing in September, especially in the west of the country which gets the warmer weather first.
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An inflationary gap occurs when the as curve and the ad curve intersect ________ of the potential gdp line.
An inflationary gap occurs when the SRAS curve and the AD curve intersect Right of the potential GDP line.
The SRAS curve:With the help of the short-run aggregate supply curve (SRAS), we can understand how each firm in an economy reacts to price stickiness. The SRAS curve will slope upward when prices are volatile. The SRAS curve illustrates that higher price levels lead to increased output.
AD curve:The demand for and supply of every good and service an economy produces are the main topics of discussion. As a result, the demand for all distinct goods and services is also combined and is known as aggregate demand.
What transpires throughout an inflationary gap?The price level of goods and services would then rise (naturally or as a result of government intervention) to compensate for the increased demand as well as an insufficient supply when an inflationary gap occurs. This price increase is known as demand-pull inflation.
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What is the value of the expression below when x = 3 and y = 2? 6x - y
Answer:
The value of the expression of x 3 and y 5. Substitute each x and y with these numbers in equation and which would you get a value? So 4x+6y
4(3)+6(5)=
12+30=42
B. 42 ♥️
Step-by-step explanation:
Does each box at the fruit stand contain a different fruit? set all_different to true if each box contains a different fruit or to false if multiple boxes contain the same fruit.
No, multiple boxes contain the same fruit.
3 boxes contains the same fruit : strawberry
all different = False
From the given table,
box ID | fruit name | count
53686 | kiwi | 45
57181 | strawberry | 123
25274 | apple | 20
48800 | orange | 35
26187 | strawberry | 255
57930 | grape | 517
52357 | strawberry | 102
43566 | peach | 40
=> You can see that, each box have a unique box ID, and a fruit name for each box.
=> These 57181, 26187, 52357 boxes contains strawberry.
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two students are running on a circular path. it takes the first student 25 minutes to complete one lap, and it takes the second student 30 minutes to complete one lap. if they both start at the same time and run in the same direction, when will they meet each other at the starting point? 175 minutes 150 minutes 25 minutes 5 minutes
150 Minutes
We need to find the Lcm of 25 and 30
Student 1 and Student 12 start from the same point, at same time and in same direction. So they meet again after lcm of the times taken by them individually.
What is LCM?
Least common multiple
To get the LCM we have to factorize the numbers,
25=5*5
30=2*5*3
LCM of 25 and 30 is 5*2*3*5 is 150
Therefore in 15 minutes they meet each other at the starting point
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Answer: 175
Step-by-step explanation:
Givien f (x) = -4x-2 , find f (1).
Answer: -6
Step-by-step explanation:
-4(1)-2=-6
Answer:
f(1) = -6
Step-by-step explanation:
Hello!
Substitute 1 for x in the equation.
Evaluatef(x) = -4x - 2f(1) = -4(1) -2f(1) = -4 - 2f(1) = -6f(1) is -6.
solve the equation tanx+secx=2 given that x is greater than or equal to 0 and less than or equal to 2pie
X = 0.6444
Trigonometric Identities are equality statements that hold true for all values of the variables in the equation and that use trigonometry functions.
There are numerous distinctive trigonometric identities that relate a triangle's side length and angle. Only the right-angle triangle is consistent with the trigonometric identities.
The six trigonometric ratios serve as the foundation for all trigonometric identities. Sine, cosine, tangent, cosecant, secant, and cotangent are some of their names. The adjacent side, opposite side, and hypotenuse side of the right triangle are used to define each of these trigonometric ratios. The six trigonometric ratios are the source of all fundamental trigonometric identities.
tan x +sec x =2
⇒sin x /cosx + 1/ cos x = 2
⇒1+sin x / cos x =2
⇒ (sin² x/2 +cos ² x/2 +2 sin x/2 cos x/2 )/( cos ² x/2 - sin²x/2 ) = 2
⇒(cos x/2 +sin x/2)² / ( cos ² x/2 - sin²x/2 ) = 2
⇒( cos x/2+sin x/2)² / (cos x/2 + sin x/2)(cos x/2-sinx/2) = 2
⇒(cos x/2 +sin x/2)/ (cos x/2-sin x/2) = 2
Dividing by cos x/2 in both numerator and denominator,
⇒(1+tan x/2)/(1-tan x/2) =2
⇒ 1 + tan x/2 = 2 - 2tanx/2
⇒ tan x/2 = 1/3
⇒ x= 0.6444
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Solve the quadratic equation by completing the square.
2
x² - 10x+10=0
Answer: x=5+[tex]\sqrt{15}[/tex]
Step-by-step explanation:
x² - 10x+10=0
x² - 5x - 5x+10=0
x² - 5x - 5x+25-15=0
(x-5)^2 -15=0
(x-5)^2=15
x-5=[tex]\sqrt{15}[/tex]
x=5+[tex]\sqrt{15}[/tex]
The school finance committee has determined that a $28,000 facilities upgrade will be needed in 12 years. an alumnus has donated $20,000. if invested, will it grow to be enough?
Answer:
Step-by-step explanation:
QWEQEQWEQEQEQEQ
Simplify.
[tex](4x^{2})^{3}(3x^{6})^{4}[/tex]
What number will make this expression a perfect square trinomial? show your work. x² 8x __
The number must be added in the expression, x² - 8x, to make a perfect square trinomial is 16.
What is perfect square trinomial?Perfect square trinomials are algebraic representations that have three terms and are formed by multiplying a binomial by another binomial. A perfect square is a number formed by multiplying another number by itself.
The form is ax² + bx + c.
Where, a, b, and c are real numbers & a ≠ 0.
Now, as per the question; the expression is given as;
x² - 8x
The perfect square trinomial written in standard form as;
(x - a) = x² - 2ax + a²
In the given equation, enter c as the value to be added.
x² - 8x + c
By comparing it to the standard form
-8x = - 2ax ----->(1)
c = a2----->(2)
When we solve these equations for a and c, we get
-8x = - 2ax
a = -8/-2
a = 4
c = (4)² = 16
Thus,
(x - 4)² = x² - 8x + 16
As a result, the value that must be added is 16.
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The correct question is -
What number must be added in the expression, x² - 8x, to make a perfect square trinomial?
. Evaluate the expression for x = 3, y=13 , and z = 5. 12x−3y4x−z
Enter your answer in the box. 42 BRAINLESS
Answer:
4
Step-by-step explanation:
replace x , y and z with the values given for them
12x - 3y + 4x - z
12(3) - 3(13) + (4)(3) - 5
36 - 39 + 12 - 5 = 4
Answer:it is 5
Step-by-step explanation:
i got it on the k12 test
Are 12,16,20 pythagorean triplets. Explain why.
Answer:
The numbers that make up today's date—12, 16, and 20—form a Pythagorean triple. That is, 12² + 16² = 20².
Step-by-step explanation:
Answer:Yes, these are pythagorean triplets because they are multiples of 4. 4 times 3 is twelve.4 times 4 is 4.And 4 times 5 is 20.
the image i attached is the question
Answer:
D
Step-by-step explanation:
Solve for X:
3x-8≥7
3x≥15
x≥5
Any value of x is greater than or equal to 5
This is represented by answer D
2. Write an algebraic equation and solve it
There are 70 passengers on a bus. At a bus stop, m passengers got off. There (2 passengers left. How many passengers got off the bus?
Solve for u.
4u = 88
Simplify your answer as much as possible.
U=
X
3
Answer: u=22
Step-by-step explanation:
4u = 88
Divide by 4 on both sides
4u/4 = 88/4
Cancel out 4u
u = 22
Can someone help me find the perimeter of the figure in feet.
Ali Makes a Four digit number . The sum of the digit is 4 . The thousands digit and the unit digit are the same. The hundreds digit is zero.
What is Ali's number?
Answer:
1021
Step-by-step explanation:
1+1=2 and it needs to add up to 4 so you add in another 2 in the only place left for it to go which is in the tens place because the first and last number have to be the same and 0 has to go in the hundreds place.
What is the slope of the line passing through the points (-3, 4) and (2, -1)?
Answer:
-1
Step-by-step explanation:
slope = (y_2 - y_1)/(x_2 - x_1)
slope = (-1 - 4)/(2 - (-3)) = -5/(2 + 3) = -5/5 = -1
x - 4b
this is about algebra I had a doubt please answer this as well as the question above
Do variables have values? Like would they have a value of 1?
Answer: YES
Step-by-step explanation:
Variable have values it can be constant or changing.
for example if it is assigned a constant value 5 then it is a constant
if it has a function that varies from one value to another then it too has value but it frequently changes.
Just treat variable as a container containing some water in it sometimes we know about its quantity and sometimes it is unknown.
They may or may not have a value of 1 depending on what values you are assigning to them
hope it was of help
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find the indicated length.
Point R bisects segment ST. Find RT if ST = 16.9 meters.
RT=
The value of the indicated length RT is 8.45 meters
How to find the indicated length?The given parameters are
Point R bisects segment ST. ST = 16.9 meters.The above means that
RT = 1/2 * ST
So, we have
RT = 1/2 * 16.9
Evaluate the products
RT = 8.45
Hence, the value of the indicated length RT is 8.45 meters
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the ice cream shop has 10 flavor of ice cream, how many different two-scoop ice cream cones can you make?
90 different two-scoop ice cream cones we can make.
What do we mean by permutations and combinations?Permutations and combinations are the various ways in which objects from a set can be selected, generally without substitute, to form subsets. When the order of selection is a factor, this selection of subsets is called a permutation; when order is not a factor, it is called a combination.To find how many different two-scoop ice cream cones can you make:
We're picking two flavors out of ten, so we'll use [tex]\left(\begin{array}{c}10 \\2\end{array}\right)=45[/tex] different two-scoop cones.This time, there are more cones that were previously excluded, and we use permutation:[tex]\frac{10 !}{8 !}=90[/tex]Therefore, 90 different two-scoop ice cream cones we can make.
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-5/9 - (-7/27)
Can someone help
Answer:
[tex]\frac{-8}{27}[/tex]
Step-by-step explanation:
[tex]\frac{-5}{9}[/tex] - [tex]\frac{-7}{27}[/tex] Subtracting a negative is the same as adding a positive. So I would change the form to addition.
[tex]\frac{-5}{9}[/tex] + [tex]\frac{7}{27}[/tex] Now to add, we need a common denominator. Let's us 27
[tex]\frac{-5}{9}[/tex] = [tex]\frac{-15}{27}[/tex] We multiple the numerator and denominator (top and bottom) by 3 to make an equivalent fraction.
[tex]\frac{-15}{27}[/tex] + [tex]\frac{7}{27}[/tex] the bottom number stays the same and we add the top numbers
-15 + 7 = -8
[tex]\frac{-8}{27}[/tex]
Answer: -8/27
Step-by-step explanation:
[tex]\displaystyle\\-\frac{5}{9} -(-\frac{7}{27} )=\\\\-\frac{5*3}{9*3} +\frac{7}{27} =\\\\\frac{-15}{27}+\frac{7}{27}=\\\\ \frac{-15+7}{27}=\\\\ \frac{-8}{27} =\\\\-\frac{8}{27}[/tex]
Nine added to twice a number, x, is -5
what is the equation?
what is the solution?
Answer: -7
Step-by-step explanation: -7 times 2= -14, -14 +9= -5