Analysis of variance can be used to determine differences in test scores of more than two groups. It is true.
What is variance?
Apart from the measurement of statistics range and interquartile range, variance is a measure of dispersion that takes into account the spread of all data points in a data set. It is the measure of dispersion which has the most often utility, along with the standard deviation, which is nothing but the square root of the variance.
An analysis of variance (ANOVA) is called an analysis tool in statistics which separates an observed aggregate variability which is found inside a two part data set.
As ANOVA is the extension of of t-tests and z-tests so a one way ANOVA can be used for three or more groups of data in the purpose to gain information about the relationship in between dependent and independent variable.
So ANOVA can be used to determine differences in test scores of more than two groups.
Hence, the statement is true.
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in the drawing one sixth of an inch represents 1 foot. What is the scale factor of the drawing?
Answer:
Step-by-step explanation:
i wish i knew so i dont really know but i have heard that its 2 inches
can yall pls help me?
Answer:
- w - 24
Step-by-step explanation:
- 4(w + 6) + 3w ← multiply each term in the parenthesis by - 4
= - 4w - 24 + 3w ← collect like terms
= (- 4w + 3w) - 24
= - w - 24
Which of the following statements contain a variable? Check all that apply
A. Half the height of the building.
B. She arrived at 2 o'clock.
C. There are 12 inches in a foot.
D. The length of the rope.
CO
Answer:
A., D.
Step-by-step explanation:
A. 0.5x
B. 2
C. 12
D. x
Answer: A., D.
what is the axis of symmetry for y = (x - 1)^2 - 4 ?
how do you find it?
The axis of symmetry for y = (x - 1)² - 4 is x = 1.
What is the axis of symmetry for y = (x - 1)² - 4 ?Given the equation in the question;
y = (x - 1)² - 4
The axis of symmetry for a parabola in standard form is expressed as:
y = a(x - h)² + k is the vertical line passing through the vertex (h, k).
Comparing y = (x - 1)² - 4 to the standard form
We can see that h = 1 and k = -4.
Therefore, the vertex is (1, -4).
Since the axis of symmetry is the vertical line passing through the vertex, the equation of the axis of symmetry is
x = 1.
Therefore, the axis of symmetry is x = 1.
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The variables x and y vary inversely. Use the given values to write an equation relating x and y . Then find y when x=−3 .
x = 1, y = 5
The equation is y =
Step-by-step explanation:
to vary inversely means that
y = k/x
the opposite would be to vary directly :
y = kx
so, in our case
5 = k/1
k = 5
y = 5/x
therefore, for x = -3
y = 5/-3 = -5/3 = -1.666666666...
1. 42% of the patients of a medical office are male. Of those males, 90% say they are satisfied
with the care they are receiving. What is the probability that a patient selected at random from
this office's patients is a male who is satisfied with the care he is receiving?
2. When asked about their support of two bills, 35% of congressmen supported Bill A, 62%
supported Bill B and 14% supported both.
a. Draw a Venn diagram.
b. Find the probability that a congressman selected at random......
i. supports Bill A or Bill B.
ii. supports Bill A but not Bill B.
iii. supports neither Bill A nor Bill B.
The probability that a congressman selected at random supports Bill A or Bill B is 0.83.
The probability that a congressman selected at random supports Bill A but not Bill B is 0.21.
The probability that a congressman selected at random supports neither Bill A nor Bill B is 0.17.
How to calculate the probabilityP(Bill A or Bill B) = P(Bill A) + P(Bill B) - P(Bill A and Bill B) = 0.35 + 0.62 - 0.14 = 0.83
ii. The probability that a congressman selected at random supports Bill A but not Bill B is the probability in the Bill A circle that is not in the overlap:
P(Bill A but not Bill B) = P(Bill A) - P(Bill A and Bill B) = 0.35 - 0.14 = 0.21
iii. P(neither Bill A nor Bill B) = P(not Bill A and not Bill B) = 0.17
Therefore, the probability that a congressman selected at random supports neither Bill A nor Bill B is 0.17.
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Follow the rules to create two number sequences that go to the fifth term each. Rule 1: Multiply by 3 starting from 10. Rule 2: Subtract 7 starting from 58. What is the first term that appears in both sequences? (2 points) a 30 b 55 c 60 d 180
the answer is (a) 30.To find the first term that appears in both sequences, we can simply compare the terms in each sequence until we find a match
what is sequence ?
In mathematics, a sequence is a set of numbers, called terms, arranged in a specific order. Each term in the sequence is obtained by applying a certain rule or formula to the preceding term(s) in the sequence.
In the given question,
Using Rule 1, we can create the first sequence:
10, 30, 90, 270, 810
Using Rule 2, we can create the second sequence:
58, 51, 44, 37, 30
To find the first term that appears in both sequences, we can simply compare the terms in each sequence until we find a match.
We see that the number 30 appears in both sequences as the fifth term of the second sequence and the second term of the first sequence.
Therefore, the answer is (a) 30.
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Ahanu jumped 1,050 times. Rolando jumped 1,080 times. How many fewer jumps did Ahanu do than Rolando?
Answer:
Step-by-step explanation:
the fewer jumps=the jumps Ronaldo did - the jumps Ahanu did
= 1080-1050
= 30
Simplify.
Remove all perfect squares from inside the square roots. Assume
�
xx and
�
zz are positive.
72
�
3
�
3
=
72x
3
z
3
=square root of, 72, x, cubed, z, cubed, end square root, equals
By simplifying the given square root , we get Simplified Root : 6 xz • [tex]\sqrt{(2xz) }[/tex]
how can we simplify roots ?Factor 72 into its prime factors
72 = 23 • 32
To simplify a square root, we extract factors which are squares, i.e., factors that are raised to an even exponent.
Factors which will be extracted are :
36 = 22 • 32
Factors which will remain inside the root are :
2 = 2
To complete this part of the simplification we take the square root of the factors which are to be extracted. We do this by dividing their exponents by 2 :
6 = 2 • 3
At the end of this step the partly simplified square root looks like this:
6 • [tex]\sqrt{ (2x3z3) }[/tex]
Simplify the Variable part of the square root
Rules for simplifing variables which may be raised to a power:
(1) variables with no exponent stay inside the radical
(2) variables raised to power 1 or (-1) stay inside the radical
(3) variables raised to an even exponent: Half the exponent taken out, nothing remains inside the radical. examples:
[tex]\sqrt{(x8)}[/tex]=x4
[tex]\sqrt{ (x^6)}[/tex]=x-3
(4) variables raised to an odd exponent which is >2 or <(-2) , examples:
[tex]\sqrt{ (x5)}[/tex]=x2•[tex]\sqrt{x}[/tex]
[tex]\sqrt{ (x^7)}[/tex]=x-3•[tex]\sqrt{x}[/tex]
Applying these rules to our case we find out that
[tex]\sqrt{ (x3z3)}[/tex] = xz • [tex]\sqrt{(xz) }[/tex]
Combine both simplifications
[tex]\sqrt{ (72x3z3)}[/tex] = 6 xz •[tex]\sqrt{(2xz) }[/tex]
Simplified Root :
6 xz • [tex]\sqrt{(2xz) }[/tex]
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Study the solutions of the three equations on the right. Then, complete the statements below.
There are two real solutions if the radicand is
There is one real solution if the radicand is
There are no real solutions if the radicand is
There are two real solutions if the radicand is positive.
There is one real solution if the radicand is zero.
There are no real solutions if the radicand is negative.
What is the radicand about?In mathematics, the radicand refers to the value inside a square root (√) symbol. In the given equations and solutions, we can see that there are square root symbols involved, and we can determine the nature of the solutions based on the sign of the radicand.
For the first equation, y = -16x² + 32x - 10, the solutions for x are given as x = (-32 ± √384) / -32. The radicand in this case is 384. Since 384 is positive, greater than 0, there will be two real solutions for x.
For the second equation, y = 4x² + 12x + 9, the solutions for x are given as x = (-12 ± √0) / 8. The radicand in this case is 0. Since the square root of 0 is 0, there is only one real solution for x in this case.
Therefore, For the third equation, y = 3x² - 5x + 4, the solutions for x are given as x = (5 ± √(-23)) / 6. The radicand in this case is -23. Since the square root of a negative number is not a real number, there are no real solutions for x in this case.
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See full text below
Study the solutions of the three equations on the right. Then, complete the statements below. There are two real solutions if the radicand is There is one real solution if the radicand is There are no real solutions if the radicand is 1. y = negative 16 x squared + 32 x minus 10. x = StartFraction negative 32 plus-or-minus StartRoot 384 EndRoot Over negative 32 EndFraction. 2. y = 4 x squared + 12 x + 9. x = StartFraction negative 12 plus-or-minus StartRoot 0 EndRoot Over 8 EndFraction. 3. y = 3x squared minus 5 x + 4. x = StartFraction 5 plus-or-minus StartRoot negative 23 EndRoot Over 6 EndFraction.
Find the sum of the first 40 even numbers (starting with 2).
Answer:
The number series 2, 4, 6, 8, 10, 12, . . . . , 80. Therefore, 1640 is the sum of first 40 even numbers.......Sep 23, 2018
PLS MARK BRAINLIEST
Step-by-step explanation:
⅓m-2/x÷9-y² ÷2x²m-12x÷9x+3xy
The simplified form of the expression (⅓m - 2/x) ÷ (9-y²) ÷ (2x²m-12x) ÷ (9x+3xy) is (x-3m)/(4mx (mx-6) (3-y)).
Mathematical expression is a mathematical statement involving numerical values, mathematical operations, variables, power of variables and combination of that.
The expression is = (⅓m-2/x)÷(9-y²) ÷(2x²m-12x)÷(9x+3xy)
We have to simplify the expression.
Simplifying the expression we get,
(1/3m - 2/x) ÷ (9 -y²) ÷ (2x²m -12x) ÷ (9x +3xy)
= ((x-3m) / 6mx)*(1 / (3²-y²)) ÷ ((2x (mx-6)) / (3x (3+y)))
= ((x-3m) / 6mx (3+y) (3-y)) * (3x (3+y) /2x (mx-6)) [Since, a²- b² = (a+b)(a-b)]
= (x-3m)/(4mx (mx-6) (3-y))
Hence the simplified expression is = (x-3m)/(4mx(mx-6)(3-y)).
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Which graph is that of the inequality shown below
A graph which is that of the inequality shown include the following: D. Graph D.
How to graph the solution to this linear inequality?In order to to graph the solution to the given linear inequality on a coordinate plane, we would use an online graphing calculator to plot the given linear inequality and then take note of the points that lie on its line;
y ≥ -3x + 1
Next, we would use an online graphing calculator to plot the given linear inequality as shown in the graph attached below.
Based on the graph (see attachment), we can logically deduce that a possible solution for the linear equation is the ordered pairs (0, 1) and (1, -2), with a solid line that is shaded above to indicate the solution, and this must be represented with the greater than or equal to (>) inequality symbol.
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Jack's mother gave him 50 chocolates to give to his friends at his birthday party. He gave 3 chocolates to each of his friends and still had 2 chocolates left.Write an equation to determine the number of friends (x)left at Jack's party.
Okay so Jack started with 50 chocolates, and ended with 2.
The simple way to calculate it would be by realizing that Jack only distributed 48 chocolates. We can find how many times 3 fits into 48 by dividing [tex]48\div3=16[/tex].
Using algebra, we substitute the value we want to find with [tex]x[/tex]. Here what we want to find is the number of friends that were at Jack's party.
We know that he started with 50 chocolates, then distributed [tex]3\times[/tex] the number of friends present (which is [tex]x[/tex]).
We write that down as [tex]50-3x[/tex]
(It's minus because when chocolates are distributed, Jack is taking away from what he has.)
We know that after this, there were only 2 chocolates left, so it's
[tex]\underline{\bold{50-3x=2}}[/tex]
Then we proceed by moving all the numbers to the right until only [tex]x[/tex] is left:
[tex]-3x=2-50[/tex]
[tex]-3x=-48[/tex]
[tex]x=\dfrac{-48}{-3}[/tex]
[tex]\boxed{\bold{x=16}}[/tex]
Conclusion: The number of people that attended the party was 16.
HELP I JUST DONT GET THIS !!!!
Subtract.
(9w² + 3w) - (6w² + w)
An angle measures 51.8 degrees less than the measure of it’s complementary angle, what is the measurement of each angle?
the answer to the problem is that one angle measures 19.1 degrees and its complementary angle measures 70.9 degrees.
How to solve the question?
Let's first define the problem. Complementary angles are two angles whose sum is 90 degrees. Let x be the measure of one of the angles, then the measure of its complementary angle is 90 - x. According to the problem, one angle measures 51.8 degrees less than its complementary angle, so we can write:
x = (90 - x) - 51.8
Simplifying this equation, we get:
2x = 90 - 51.8
2x = 38.2
x = 19.1
Therefore, one angle measures 19.1 degrees and its complementary angle measures 90 - 19.1 = 70.9 degrees.
We can check that these angles are indeed complementary by verifying that their sum is 90 degrees:
19.1 + 70.9 = 90
So the answer to the problem is that one angle measures 19.1 degrees and its complementary angle measures 70.9 degrees.
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In ΔABC,
∠BAC = 50° AB = 10cm BC = 9cm
Given that ∠BCA = x°
find the two possible values, to one decimal place, of x
Answer:
86.3
Step-by-step explanation:
To find the two possible values of x, we can use the law of sines, which states that:
asinA=bsinB=csinC
where A, B, and C are the angles of the triangle and a, b, and c are the opposite sides.
In this case, we are given A = 50°, a = 10 cm, and b = 9 cm. We can use the law of sines to find sin B:
10sin50°=9sinB
sinB=109sin50°≈0.6904
Now, we can use the inverse sine function to find B:
B=sin−1(0.6904)≈43.7°
However, this is not the only possible value for B. Since the sine function is positive in both quadrant I and quadrant II, there is another angle with the same sine value but in quadrant II. This angle is the supplement of B:
B′=180°−B≈180°−43.7°=136.3°
This means that there are two possible triangles that satisfy the given information: one with B = 43.7° and one with B = 136.3°.
To find x, we need to find C for each triangle using the fact that the sum of angles in a triangle is 180°:
C=180°−A−B≈180°−50°−43.7°=86.3°
C′=180°−A−B′≈180°−50°−136.3°=−6.3°
However, C’ is not a valid angle for a triangle because it is negative. Therefore, we can ignore this possibility and conclude that there is only one possible value for x:
x=C≈86.3°
The total mass of a trolley and some watermelons is 27 kg.
The total mass of the same trolley and some mangoes is 11 kg.
The mass of the watermelons was thrice the mass of the mangoes.What is the kg of the watermelons and the mangos?
The mass of the watermelons is 24 kg and the mass of the mangoes is 8 kg.
What does mass in mathematics mean?A physical quantity is mass. The unit of mass measurement is the body's weight. Normal mass units like grammes, kilogrammes, and pounds can be used to measure it.
We are informed of the following:
T + W = 27 (total mass of trolley and watermelons is 27 kg)
T + M = 11 (total mass of trolley and mangoes is 11 kg)
W = 3M (mass of watermelons is three times the mass of mangoes)
Elimination or substitution can be used to solve this set of equations. Substitutions made
We can enter W = 3M into the first equation in place of the third equation to obtain:
T + 3M = 27
From the second equation, we can substitute T = 11 - M into this equation to get:
(11 - M) + 3M = 27
Simplifying this equation, we get:
2M = 16
So, M = 8 kg. This means that the mass of the mangoes is 8 kg.
We can substitute this value of M back into the second equation to get:
T + 8 = 11
So, T = 3 kg. This means that the mass of the trolley is 3 kg.
Finally, we can substitute these values of T and M into the first equation to get:
3 + W = 27
So, W = 24 kg. This means that the mass of the watermelons is 24 kg.
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Convert the following decimals to percents.
0.956=_%
Answer: 0.956 * 100% = 95.6%
Step-by-step explanation: To convert a decimal to a percent, you can multiply the decimal by 100 and add a percent sign.
So, to convert 0.956 to a percent:
0.956 * 100% = 95.6%
Therefore, 0.956 is equivalent to 95.6%.
Answer:
95.6%
Step-by-step explanation:
In order to solve this, you can just move the decimal point two places to the right to get the answer!
Write this trinomial in factored form.
9b^2 + 13b + 4
The factored form of the trinomial 9b² + 13b + 4 is ( 9b + 4 )( b + 1 ).
What is the factored form of the trinomial?Given the trinomial in the question:
9b² + 13b + 4
To factor the trinomial 9b² + 13b + 4, we need to find two binomials whose product equals 9b² + 13b + 4.
We can start by looking for two numbers that multiply to 9 × 4 = 36 and add up to 13. Those numbers are 9 and 4.
Now we need to use these numbers to factor the trinomial.
9b² + 4b + 9b + 4
Factor out the greatest common factor from each group
9b² + 9b + 4b + 4
9b( b + 1 ) + 4( b + 1 )
( 9b + 4 )( b + 1 )
Therefore, the factored form is ( 9b + 4 )( b + 1 ).
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Javier buys 0.6 kilograms of sour cream and 1.4 kilograms of butter. What is the total cost?
sour cream
butter
plain yogurt
cream cheese
$2.15/kg
$1.00/kg
$1.19/kg
$2.26/kg
what is the answer?
The calculated value of the total cost of the sour cream and butter is $2.69.
Calculating the total costTo calculate the total cost of sour cream and butter, we need to multiply the weight of each item by its respective price per kilogram and then add the results.
The cost of 0.6 kilograms of sour cream is:
0.6 kg * $2.15/kg = $1.29
The cost of 1.4 kilograms of butter is:
1.4 kg * $1.00/kg = $1.40
Adding these two costs together, we get:
$1.29 + $1.40 = $2.69
Therefore, the total cost of the sour cream and butter is $2.69.
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A riverboat traveled 2.5 miles per hour for 0.8 hours. How far did it go?
Given that event E has a probability of 0.31, the probability of the complement of event E
Explanation: We subtract the given value from 1
1-0.31 = 0.69
The complement of an event is the complete opposite.
Example: heads vs tails
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?
A: Mean 82.3°
B: Median 86.5°
C: Range 48°
D: IQR 34°
which decimal is equivalent to 125/1000?
A. 1.25
B. 0.125
C. 0.0125
D. 0.00125
Answer:
The answer to your problem is, B. 0.125
Step-by-step explanation:
Here is something that is simple so you will not forget easily.
( Just replace the numbers like how you shown in fraction )
= [tex]\frac{125}{1000}[/tex]
= 125 ÷ 1000
= 0.125
Simple but effective
0.125 is the answer.
Thus the answer to your problem is, B. 0.125
A $1200 bond earns 8.5% simple interest. What is the interest amount earned after 3 years?
As per the concept of simple interest, the interest amount earned after three years is $306.
To calculate the interest amount earned, we can use the formula:
I = P * r * t
Where:
I = interest earned
P = principal amount
r = interest rate per year (as a decimal)
t = time period in years
Plugging in the values from the problem, we get:
I = $1200 * 0.085 * 3
I = $306
This means that after three years, the bond will be worth the principal amount plus the interest earned, which is:
$1200 + $306 = $1506
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Find the value of x in the figure below.
Answer:
x = 63° and y =153°
Step-by-step explanation:
a streght line measure 180° so in the given we sum up
90° + x + 27°=180° then solve x
and for y u will sum up 90° and x then u will get by vertical opposite angle
find the volume of the prism below
The volume of the prism with given dimensions in the figure is equal to 612√3 cubic millimeter.
The dimensions of the triangular prism are,
Base of the triangle 'B' = 12mm
let us consider 'h' be the height of the triangle base.
Which intersect base at midpoint
height of the triangle 'h' = √ 12² - 6²
= √108
= 6√3mm
Side length of the prism 'l' = 17mm
Volume of the triangular prism
= ( 1/2 ) × Base × height × length of the side
= ( 1/2 ) × B × h × l
Now , substitute the values we have,
⇒ Volume of the triangular prism = (1/2) × 12 × 17 × 6√3
⇒ Volume of the triangular prism = 612√3 cubic millimeter.
Therefore, the volume of the triangular prism is equal to 612√3 cubic millimeter.
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what is the probability that all 6 workers are selected from the same shift? again, assume the employees are selected sequentially and not all at once. round your answer to four decimal places. save your answer as p allsame.
For a production company of total 24 workers, who works in different shifts. The probability that all 6 workers are selected from the same shift is equals to the 0.0019.
We have a company with faculty working in different shifts. Total number of workers in company = 10 + 8 + 6 = 24
Number of workers work in day shift = 10
Number of workers work in swing shift= 8
Number of workers work in graveyard shift = 6
Now, 6 workers are randomly selected from among 24. That is any of group of 6 can be selected. Number of possible ways to select 6 out of 24 = ²⁴C₆=134,596.
Number of ways to select a group of 6 workers from morning shift = ¹⁰C₆ = 210
Number of ways to select a group of 6 workers from swing shift = ⁸C₆= 56
Number of ways to select a group of 6 workers from graveyard shift = ⁶C₆ = 1
Now, probability to select the group of 6 from morning shift = [tex]\frac{210}{134596}[/tex]
Probability to select the group from morning shift = [tex]\frac{56}{134596}[/tex]
Probability to select the group from graveyard shift=[tex]\frac{1}{134596}[/tex].
Total probability for selecting a group of 6 workers from same shift [tex]= \frac{210}{134596} + \frac{56}{134596} + \frac{1}{134596} [/tex]
[tex]= \frac{267}{134596}[/tex]
= 0.00198
Hence, required probability is 0.0019.
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Complete question:
a production company factory 10 workers on day shift , 8 workers on swing shift and 6 workers on graveyard shift. A quality control team select 6 workers for in depth interviews.. Suppose the selection made in such a way that any particular group of 6 workers has same chance to selecting as does any other group( drops 6 slips without replacement from among 24 )
what is the probability that all 6 workers are selected from the same shift, again, assume the employees are selected sequentially and not all at once. round your answer to four decimal places. save your answer as p all same.
Margo missed 24.6% of her free throw shots in a season. During the season, she shot a total of 90 free throws. Which of the following is the best estimate of the number of free throws Margo missed?
Answer: 22
Step-by-step explanation:
So since Margo missed 24.6% of 90 free throws, you have to find 24.6% of 90. The easiest way to do this is to do 90 multiplied by 0.246.
To multiply by percentages in general, move the decimal point to the left by two places. For example, if it said 82.6, the decimal point would go to the left two places and be 0.826.
Back to the original question...
so 90 multiplied by 0.246 is 22.14. If you can use a calculator, this is easy, if not just do the usual multiplication.
Then, this rounds to 22, and the problem is complete!