Its related to the mixing in the Analysis.
Quantitative data:
They are used when a researcher is trying to quantify a problem, or address the "what" or "how many" aspects of a research question. It is data that can either be counted or compared on a numeric scale.
Qualitative data :
It describes qualities or characteristics. It is collected using questionnaires, interviews, or observation, and frequently appears in narrative form. For example, it could be notes taken during a focus group on the quality of the food at Cafe Mac, or responses from an open-ended questionnaire.
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what is the ration that equivalent to 6/7
An equivalent ratio of the given ratio 6/7 is; 12/14
How to find Equivalent Ratios?To find equivalent ratios, we will just multiply the given ratio by any number that is equivalent to 1 such as 2/2, 3/3, 4/4, 5/5 e.t.c
Now, we want to find equivalent ratio of 6/7. Applying the procedure above, we can say that;
Equivalent ratio = (6/7) * (2/2) = 12/14
Thus, an equivalent ratio of 6/7 is; 12/14
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If there are n ants once a month how many will there be a month la
Answer: 3n ants
Step-by-step explanation:
If there are n ants one month, and the ants triple every month, then next month there will be 3n ants.
We can multiply 3 by n to show it tripling.
To test this, 3(10,000) = 30,000 and 3(270,000) = 810,000, which corresponds to what you've filled out in the table.
The number of marriage licenses issued by Clark County Nevada, the county where Las Vegas is located, has been decreasing since the year 2000. Using the table, how many marriage licenses were issued in 2008? 2010 Year 105,000 2001 2003 2006 Marriage Licenses 141,000 133,000 121,000 A. 113,000 B. 121,000 C. 118,000 10 Points D. 102,000
If the marriage licenses issued in 2001,2003,2006,2010 were 141000,133000,121000,141000 then by solving arithmetic progression we will get that the marriage licenses issued in 2008 were 113000.
Given that the marriage licenses issued in 2001,2003,2006,2010 were 141000,133000,121000,141000.
We are required to find how many marriage licenses were issued in 2008.
Average difference between licenses issued from 2001 to 2003=
=133000-141000)/2
=-4000
Average difference between licenses issued from 2003 to 2006=
=(121000-133000)/3
=-12000/3
=-4000
Average difference between licenses issued from 2006 to 2010=
=(105000-121000)/4
=-16000/4
=-4000
It is an arithmetic progression because the difference between marriage issued from one year to another is equal.
An arithmetic progression is a sequence in which each terms are having equal difference between them.
Nth term=a+(n-1)d
8th term=141000+(8-1)*(-4000)
=141000+7*(-4000)
=141000-28000
=113000
Hence the marriage licenses issued in 2008 were 113000 which is
option A.
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A palindrome is a number that reads the same forward and backward. a palindrome will be designated good if the first half of the number is strictly increasing. (example: 123321 is good, and so is 454 or 16961, but 1224221 or 324423 are not good). how many 5-digit good palindromes are there?
The total number of 5 digit palindrome that we have is 900.
What is a palindrome?This is the term that is used to refer to a number or a word phrase that is the same way when it is written from the front and from the back.
Examples of palindrome numbers are
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In Bayes Theorem, you have some starting information, then you collect some new information so that you can _______ the original probabilities so you now have better information.
In Bayes Theorem, apart from the already starting information, some new information so that you can update or transform the original probabilities so you now have better information.
What is Bayes Theorem?
The Bayes' theorem was named after Thomas Bayes and it is used in probability theory and statistics as one of the fundamental theorems. It estimates the likelihood of an event based on knowledge of circumstances that might be connected to it in the past.
The Formula for Bayes' Theorem
The Bayes' theorem is given as,
P(A|B) = P(A).P(B|A) / P(B)
Here, for two events A and B,
P(A|B) is the probability for likelihood of A when B is true
P(B|A) is probability for likelihood of B when A is true
P(A) is the independent probability of event A
P(B) is the independent probability of event B
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Find the fifth term and the nth term of the geometric sequence whose initial term a, and common ratio r are given.
a₁ = 5, r=2
Answer:
a₅ = 80 , [tex]a_{n}[/tex] = 5[tex](2)^{n-1}[/tex]
Step-by-step explanation:
to find a term in the geometric sequence multiply the previous term by r
a₁ = 5
a₂ = a₁ × 2 = 5 × 2 = 10
a₃ = a₂ × 2 = 10 × 2 = 20
a₄ = a₃ × 2 = 20 × 2 = 40
a₅ = a₄ × 2 = 40 × 2 = 80
the nth term of a geometric sequence is
[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]
here a₁ = 5 and r = 2 , then
[tex]a_{n}[/tex] = 5 [tex](2)^{n-1}[/tex]
Find the product of X^2 (4x - 3).
A. 5x^3
B. 5x^3 - 3x^3
C. 4x^3 - 3x^2
D. X^2 + 4x - 3
x² ( 4x - 3)
Apply the multiplicative law of distribution.
x² × 4x - x² × 3Multiply the monomial
4x³ - x² × 3Multiply the monomial
4x³ - 3x² ==> AnswerTherefore, the correct option is "C".
which relation is a function
The relation in option B is a function.
What is Function?A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.
Given are 4 relations, A, B, C, D.
From the definition of function, it is clear that, no input value have more than one output value.
A : The value of x = -2 is mapping to 2, 1, 0, -1.
That is, an input value is having more than one output values.
So this is not a function.
B : Here the input values, 0, 1, 2 and 3 maps to -2.
Here the input values are distinct. No input values are mapping to more than one output value.
So this is a function.
C : Here 1 is mapping to -2 and 3. So not a function.
D : For x = 0, there are two y values, 3 and -3.
So this is not a function.
Hence option B is a function.
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PLEASE HELP!!!! A bag contains 1 white (W), 3 blue (B1, B2, B3), and 2 red (R1, R2) marbles. (4 points)
a. Use a tree diagram to list all the possible outcomes for tossing a coin and then drawing a marble from the bag.
b. Are these independent or dependent events?
c. Find the probability of tossing a head and drawing a red marble. Explain your reasoning.
d. Find the probability of drawing two blue marbles if the first marble is not replaced. Explain your reasoning.
The answers are as follows:
a. There are 6 ways of tossing a coin and then drawing a marble from the bag. (Tree diagram is shown in the diagram below) The probability is 1/12.
b. These are independent events since tossing a coin does not affect the drawing of marble from the bag.
c. From the tree diagram, the probability of tossing a head and drawing a red marble is 1/6(since they are independent events).
d. The probability of drawing two blue marbles if the first marble is not replaced is 1/5(since they are dependent events).
What are compound events in probability?Two or more events that occur simultaneously or one after the other are said to be compound events. They are calculated by multiplying the probability of the first event by the probability of the second event.Calculation:It is given that a bag contains,
Number of white marbles(W) = 1
Number of Blue marbles (B) = 3
Number of Red marbles (R) = 2
Thus, there are 6 marbles in the bag. So, the sample space for drawing a marble = 6
a. Finding all the possible outcomes using a tree diagram:
The possible outcomes from the tree diagram are
(H, W), (H, B), (H, R), (T, W), (T, B), and (T, R)
The probability of tossing head or tail = 1/2
The probability of drawing a marble from the bag = 1/6
So, the compound probability = (1/2)(1/6) = (1/12)
The sample space for this is 12.
b. Independent or dependent events:
These are independent events since the tossing of a coin does not affect the drawing of marble from the bag.
c. Finding the probability of tossing a head and drawing a red marble:
The probability of tossing a head = 1/2
The probability of drawing a red marble = 2/6 = 1/2
Since they are independent events,
The required probability = (1/2)(1/2) = 1/4
d. Finding the probability of drawing two blue marbles if the first marble is not replaced:
The probability of drawing a blue marble from the bag(1st attempt) = 3/6
The probability of drawing another blue marble from the bag (2nd attempt) = 2/5 (From the leftover marbles after the first attempt)
Since they are dependent events, the probability of the 2nd event is calculated only after the first event is calculated.
So, the required probability = (3/6)(2/5) = 1/5
Thus, all the probabilities are calculated.
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You purchase 9.25 gallons of gasoline at $3.15/gallon. You also buy gum ($1.10) and
windshield wiper fluid ($4.97). The state has a food tax of 4% and you give the clerk $30.00
cash. You pay the rest with your debit card. How much is charged to your debit card?
Answer:
$ 5.25 is charged to debit cardStep-by-step explanation:
Add 4% food tax:
1.1*1.04 = 1.14 (rounded)Total amount of purchase is:
9.25*3.15 + 1.14 + 4.97 = 35.25Subtract $30 paid in cash:
35.25 - 30 = 5.25Answer:
$5.25
Step-by-step explanation:
Cost of gasoline
9.25 gallons at $3.15 per gallon:⇒ 9.25 × $3.15 = $29.1375
Cost of gum
$1.10 plus 4% food tax:
⇒ $1.10 × 1.04 = $1.144
Total cost of purchases
Gasoline + gum + Windshield wiper fluid
⇒ $29.1375 + $1.144 + $4.97 = $35.2515 = $35.25 (nearest cent)
If $30.00 was paid by cash and the rest was paid for by debit card:
Debit card charge = $35.25 - $30.00 = $5.25
Can someone help me please
Answer:
[tex]y=7x[/tex]
I hope this helps and that you can give a brainliest!
Step-by-step explanation:
If x and y vary directly, that means that y is directly proportional to x. So, the parent function is y = kx.
So, by plugging in the given y=42 when x=6 into this parent function, we get:
42=6k
If we solve for k, we end up with 7.
Now if we plug in the value of k back into the parent function of this scenario, we get:
[tex]y=7x[/tex]
If 7.2 and 7.9 are two points on a number line , find the number in the middle of the points
Answer:
7.55
Step-by-step explanation:
A midpoint can be found by doing 7.2 + 7.9 then dividing by the number of points (in this case 2).
Assuming a normal distribution, families spends an average of $500 on their monthly cell phone bills with a standard deviation of $75. What is the probability a random families' bill is between $350 and $400
There is a 0.02275 to 0.0968 chance that a random family's bill will be between $350 and $400.
Calculating the probabilityProvided that,
Mean of the population = 500
The standard deviation(S.D) of the population = 75
Assume,the variable in normal distribution = X
Z= (x- mean)/ S.D
Provided , x = $350 - $400
Z= 350-500/75 = -2(when x=$350)
Z= 400-500/75 = -1.3 (taken x= $400)
The probability that a household will spend between $350 and $400 monthly
P(350>X<400) = P( -2>Z<-1.3)
= 0.02275 to 0.0968 (from probability table)
Therefore, the final answer is 0.02275 to 0.0968.
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Suppose you are looking to purchase a new TV. You are placing it in an opening that is 136 cm wide but want to leave at least 2 cm of room on either side of the TV. If the TV screen measures 86 cm high, what is the largest size TVin inches, that you can purchase? TV's are measured based on the diagonal measure. (1inch = 2.54cm) Write your answer as an integer
Answer:
404 inches
Step-by-step explanation:
Since a room of 2cm is to be left of either side of the TV, thus, the permissible required length of the TV is 136-2 = 134cm
Use Pythagoras Theorem,
h² = 134² + 86² = 17956 + 7396 = 25352
h = √25352 = 159.22 ≈ 159cm = 404.41 inches ≈ 404 inches.
f(x)=x^2-x-56=0 what are the zeros in the function?
please help!!!
Answer:
-7, 8.
Step-by-step explanation:
x^2 - x - 56 = 0
Let's see if we can factor this function:
We need 2 numbers whose product is -56 and whose sum is -1 ( which is the coefficient of x).
They are -8 and 7 , so the factors are:
(x - 8)(x + 7) = 0
x - 8 = 0 giving x = 8 and
x + 7 = 0 giving x = -7.
The zeros are -7, 8
Find the volume of this square
based pyramid.
12 cm
10 cm
10 cm
V = [?] cm³
Answer:
[tex]400m^3[/tex]
Step-by-step explanation:
Use the formula [tex]V=\frac{1}{3}Ah[/tex]
Where h=the height of the pyramid (12cm)
A=the base area of the pyramid, also known as the area of the square (10cm*10cm=100cm)
So, inserting this into the equation:
[tex]V=\frac{1}{3} (100)(12)[/tex]
[tex]V=\frac{1}{3} (1200)[/tex]
[tex]V=400m^3[/tex]
given that the midpoints of pq is (-3,1) and q (7,5), obtain the co-ordinates of p
The coordinates of P are (-13, -3), given the coordinates of Q as (7, 5) and the coordinates of the midpoint of PQ as (-3, 1).
The midpoint of AB, given any points A (x₁, y₁) and B(x₂, y₂) is given as point M = ({(x₁ + x₂)/2},{(y₁ + y₂)/2}).
In the question, we are given that the midpoint of PQ is (-3, 1) and point Q is (7, 5).
We are asked to find the coordinates of point P.
We assume the coordinates of point P as (x, y).
Thus, the midpoint of PQ = ({(x + 7)/2}, {(y + 5)/2}),
that is, (-3, 1) = ({(x + 7)/2}, {(y + 5)/2}).
Thus, we can show that:
(x + 7)/2 = -3,
or, x + 7 = -6,
or, x = -6 - 7 = -13.
(y + 5)/2 = 1,
or, y + 5 = 2,
or, y = 2 - 5 = -3.
Thus, the coordinates of P are (-13, -3), given the coordinates of Q as (7, 5) and the coordinates of the midpoint of PQ as (-3, 1).
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The average of a set of 18 consecutive integers is 22.5.what is the smallest set in the integer
Answer:
(y+17)÷18=22.5
y+17=22.5×18
y+17=405
y=405-17
y=388
Bob rolls a fair six-sided die each morning. If Bob rolls a composite number, he eats sweetened cereal. If he rolls a prime number, he eats unsweetened cereal. If he rolls a $1$, then he rolls again. In a non-leap year, what is the expected value of the difference between the number of days Bob eats unsweetened cereal and the number of days he eats sweetened cereal
Bob eats a 171 days sweetened cereal and 194 days he eat unsweetened cereal.
According to the statement
we have given that the Bob rolls a composite number, he eats sweetened cereal. If he rolls a prime number, he eats unsweetened cereal.
and we have to find that the expected value of the difference between the number of days.
So, the total number of days in a year is 365 days.
Chance to get a prime number on a die = 3/6
Chance to get a prime number on a die = 1/2.
and chances to get a composite number = 2/6
chances to get a composite number = 1/3
and chances to get a 1 on a die = 1/6.
Then the expected value =
so, expected value = 365(1/6) + 365(1/3) + 365(1/2)
then after calculating
Expected value = 1+2+1
then the value become is 4
and by this way he eat 171 days sweet cereal and other days he eat unsweetened.
So, Bob eats a 171 days sweetened cereal and 194 days he eat unsweetened cereal.
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The average value of all the pennies, nickels, dimes, and quarters in Paula's purse is 20 cents. If she had one more quarter, the average value would be 21 cents. How many dimes does she have in her purse
Answer:
Step-by-step explanation:
The average value of all the pennies, nickels, dimes, and quarters in Paula's purse is 20 cents. If she had one more quarter, the average value would be 21 cents. How many dimes does she have in her purse
x/2 + 11 = 19
solve this equation
Answer:
x/2 = 19-11
x/2 = 8
x = 8×2
x= 16
Answer:
x=16
Step-by-step explanation:
x/2 + 11 = 19
*2 *2 *2 Multiply 2 on both sides to make x stand by itself
x+22 = 38
-22 -22
x=16
Check
Plug in 16 instead of x.
16/2 + 11 = 19
8+11=19
19=19
Hope it helps:)
A designer is hanging a mirror that is 101 centimeters (cm) wide in a room.
The center of the wall is 190 cm from the right end of the wall. If the designer
hangs the mirror so that the center of the poster is located at the center of the wall,
how far will the left and right edges of the poster be from the right end of the wall?
Answer:
240.5 cm and 139.5 cm, respectively
Step-by-step explanation:
101 cm / 2 = 50.5 cm
The right edge of the mirror is 50.5 cm to the right of the center line.
The right end of the wall is 190 cm from the center line.
190 cm - 50.5 cm = 139.5 cm
139.5 cm + 101 cm = 240.5 cm
240.5 cm and 139.5 cm, respectively
find the area of a semicircle with the height of 33 ft in the diameter of 66 ft
Answer:
Step-by-step explanation:
Comment
The radius is 33 feet. The height is really a radius. The diameter consists of 2*r
r = diameter / 2
diameter = 66 feet
r = 66 /2 = 33
So you have 2 ways of finding the radius.
Solution
Area of a full circle = pi r^2
Area of a full circle = pi * 33^2
Area of a full circle = 1089 pi
Area of a semicircle = area of a full circle / 2
Area of a semicircle = 1089 * pi /2
Area of a semicircle = 544.5 * pi
Answer
Exact answer in terms of pi is 544.5 * pi
Approximate answer using 3.14 for pi = 3.14*544.5 = 1709.73
Answer:
Area=
πr2
2
Step-by-step explanation:
3.14159⋅(33)2
2
=1710.5958
Solve for X.
X = [?]
5x - 16 X + 10
[tex] \boxed{ \sf{ \color{purple}\huge Answer :}}[/tex]
[tex] \: \: [/tex]
[tex] \large \tt \purple↪ \: \: \: \: \: 5x - 16 = x + 10 [/tex]
[tex] \: \: [/tex]
[tex]\large \tt \purple↪ \: \: \: \: \:5x - x = 10 + 16 [/tex]
[tex] \: [/tex]
[tex]\large \tt \purple↪ \: \: \: \: \: 4x = 26[/tex]
[tex] \: [/tex]
[tex]\large \tt \purple↪ \: \: \: \: \: x = \cancel\frac{26}{4} [/tex]
[tex] \: \: [/tex]
[tex] \underline{ \boxed{\large \tt \purple↪ \red{ \: \: \: \: x = \frac{13}{2} }}}{ \large✓}[/tex]
[tex] \: \: [/tex]
hope helps ~
What is the probability of on-time arrival in class given that the subject is biology?
The probability of on- time arrival in class given that the subject is biology is 82.4%.
Given the following table relating to subject on tie assignment submission and on time arrival in class.
Subject On time submission On time arrival
Physics 89.7% 82.3%
Maths 88.2% 88.7%
Chemistry 89.4% 83.1%
Biology 90.1% 82.4%
Total 88.5% 84.7%
We have to find the probability of on time arrival in class given that the subject is biology.
We have been given the corresponding percentages and percentages in itself shows some quantity. Percentage is the ratio of total favourable outcome to total outcome.
From the table the probability of on time arrival in class given that the subject is biology is 82.4%
Hence the probability of on- time arrival in class given that the subject is biology is 82.4%.
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Question is incomplete as it should includes the following table:
Subject On time submission On time arrival
Physics 89.7% 82.3%
Maths 88.2% 88.7%
Chemistry 89.4% 83.1%
Biology 90.1% 82.4%
Total 88.5% 84.7%
Answer:
82.4%.
Step-by-step explanation:
One number is 4 more than another, and their sum is 60.
If x = the larger number and y = the smaller number, then which of the following systems could be used to solve for the value of the smaller number?
The larger number is 32 and the smaller number is 28 given that one number is 4 more than another and their sum is 60. This can be obtained by forming algebraic equation and finding
Calculate the value of the numbers:Given that one number is 4 more than another,
⇒x = y + 4 (equation (1))
Their sum is 60,
⇒x + y = 60
y + 4 + y = 60 (From (1))
2y + 4 = 60
2y = 56 ⇒ y = 28
x = y + 4 = 28 + 4 ⇒x = 32
Hence the larger number is 32 and the smaller number is 28 given that one number is 4 more than another and their sum is 60.
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Which is the population standard deviation of the data set: 8, 9, 10, 11, 12?
a. 10.123
1.414
b.
2.654
Please select the best answer from the choices provided
A
C.
d. 10
B
The population standard deviation of the data set is 1.414.
What is standard deviation?Standard deviation is used to determine how the values in a group differs from the mean of the values in the group. It is a measure of variation.
How is standard deviation calculated?Determine the mean of the observationDetermine the difference between each value and the mean and then square the resultDetermine the mean of the sum of the squared differences and then find the square root of the mean:Mean = (8 + 9 + 10 + 11 + 12) / 5 = 10
Sum of squared differences: (8 - 10)² + (9 - 10)² + (10 - 10)² + (11 - 10)² + (12 - 10)² = 10
√10/5 = 1.414
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The movement of the progress bar may be uneven because questions can be worth more or less
(including zero) depending on your answer.
What are the exponent and coefficient of the expression 46-³?
The exponent is 3 and the coefficient is -4.
The exponent is -3 and the coefficient is 4.
O
The exponent is -3 and the coefficient is -4.
The exponent is 4 and the coefficient is -3.
HELPPPPPP MATHHHH pleaseee
Answer:
A
Step-by-step explanation:
What is the measure of angle ABC
Answer: A
Step-by-step explanation:
[tex]m\angle ABC=59^{\circ}[/tex] by the inscribed angle theorem.