Some methods of statistical analysis include:
mean, standard deviation, regression, hypothesis testing, sample size determinationThe word "renaissance" simply means the rebirth of a thing or something and in this case, it would seem to mean the rebirth of statistics to include better ways and methods of data gathering, collection and analysis.
A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean and this is one of the more "modern" ways of data gathering in statistics as these methods have come a long way from older methods of gathering data such as human statistics and census methods.
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The English translation is:
Could you give me an explanation about the Renaissance of Statistics?
A medical study is conducted to determine which migraine treatment, A or B, provides faster relief. The study uses 10 volunteers who claim to suffer from migraines. Half of the volunteers are randomly assigned to use treatment A when they experience their first migraine. The other half are assigned to use treatment B. Then, after no treatment for one month, the treatments are reversed. The volunteers each record the amount of time it takes, in minutes, to experience relief from their migraine under each treatment. The data are displayed in the table. A 3-column table with 10 rows. Column 1 is labeled volunteer with entries 1, 2, 3, 4, 5, 6, 7, 8, 9, 10. Column 2 is labeled Treatment A with entries 10, 13, 13, 9, 13, 12, 14, 10, 8, 7. Column 3 is labeled Treatment B with entries 19, 18, 19, 15, 20, 16, 16, 16, 13, 17. What is the mean difference (A – B) and the standard deviation of the differences?
I think that it could be b but I'm not 100 percent sure
If a figure is dilated by a factor of 3, the sides of the pre-image will be _ of the image's sides.
A. one-ninth the size
B. one-third the size
C. nine times the size
D. three times the size
List the sample space for rolling a fair seven-sided die.
S = {1, 2, 3, 4, 5, 6, 7}
S = {1, 2, 3, 4, 5, 6, 7, 8}
S = {1}
S = {7}
The sample space for rolling a fair seven-sided die is the one on the first option.
S= {1, 2, 3, 4, 5, 6, 7}
What is the sample space?
For any experiments with some given outputs, the sample space is the set of the possible outputs.
For example, for a coin with two outputs (heads and tails) the sample space is just {head, tails}
Particularly, for a fair seven-sided die we have 7 possible outputs, which are all the whole numbers from 1 to 7, then the sample space for that die is:
S= {1, 2, 3, 4, 5, 6, 7}
So the correct optionis the first one.
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Answer:
The sample space for rolling a fair seven-sided die is the one on the first option.S= {1, 2, 3, 4, 5, 6, 7}
Step-by-step explanation:
that's it simple
Nolan shoveled driveways over the weekend. He made a total of $82. If he earned the same amount of money on both days, how much money did he make on Saturday alone?
Answer: $41
Step-by-step explanation: $82 all total. 2 days. 82/2=41. He made $41 on Saturday
Given a2 = 6 and a5 = –384 of a geometric sequence, what is the recursive equation for the nth term?
an = –4(an – 1), a1 = –1.5
an = –4(an – 1), a1 = 1.5
an = 4(an – 1), a1 = –1.5
an = 4(an – 1), a1 = 1.5
Answer:
[tex]a_n = (-4)^{n - 1}; a_1 = -1.5[/tex]
Step-by-step explanation:
[tex] a_1 = a_1 [/tex]
[tex] a_2 = a_1 \times r [/tex]
[tex] a_3 = a_1 \times r^2 [/tex]
[tex] a_4 = a_1 \times r^3 [/tex]
[tex] a_5 = a_1 \times r^4 [/tex]
[tex] a_1 \times r = 6 [/tex]
[tex] a_1 \times r^4 = -384 [/tex]
[tex] r = \dfrac{6}{a_1} [/tex]
[tex] a_1 \times (\dfrac{6}{a_1})^4 = -384 [/tex]
[tex] r = \dfrac{6}{a_1} [/tex]
[tex] \dfrac{1296}{a_1}^3} = -384 [/tex]
[tex] r = \dfrac{6}{a_1} [/tex]
[tex] \dfrac{1}{a_1}^3} = -\dfrac{384}{1296} [/tex]
[tex] r = \dfrac{6}{a_1} [/tex]
[tex] a_1^3 = -\dfrac{27}{8} [/tex]
[tex] r = \dfrac{6}{a_1} [/tex]
[tex] a_1 = -1.5 [/tex]
[tex] r = \dfrac{6}{-1.5} [/tex]
[tex] a_1 = -1.5 [/tex]
[tex] r = -4 [/tex]
[tex] a_1 = -1.5 [/tex]
[tex]a_n = (-4)^{n - 1}; a_1 = -1.5[/tex]
Nixon watches a movie with his friends. they watch 50% of the movie and take a break. they then watch the remaining 65 minutes. how long was the movie?
Answer:
130 minutes
Step-by-step explanation:
We know
They watch 50% of the movie and take a break; they watch the remaining 65 minutes later.
So, to find it, we take
65 x 2 = 130 minutes
So, the movie was 130 minutes long.
Three girls download a total of 36 songs on their iPods. Jane downloaded twice as many as Inez and since Tracy wanted to have the most, she downloaded one more than Jane did. How many songs did each girl download
Answer:
they each download 36 songs
Please solve for in this equation
Answer:
x = 4 rounded to the nearest whole number (actually 4.0801)
Step-by-step explanation:
The triangle formed by the sides of length 0.9x, 2.8x and 12 form a right triangle with the side of length 12 as they hypotenuse
By the Pythagorean theorem
c² = a² + b² where c = hypotenuse, a and b being the other two sides
Plugging in values we get
12² = (0.9x)² + (2.8x)²
144 = 0.81x² + 7.84x² = 8.65x²
Switching sides:
8.65x²= 144
x² = 144/8.65 = 16.6473
x = √16.6473= 4.0801
Rounded to the nearest integer, x = 4
HELPP WITH ALL 4 OF THESE ? PLEASE!! each is worth 10 points!!
Answer: 1.+900
2. -24
3. -5
4. +10
Step-by-step explanation:
What is the converse of the statement below?
x⇒y
O A. y⇒ x
OB. ¬y⇒¬x
X
O C. ¬x⇒y
O D. ¬x⇒¬y
The converse of the statement x⇒y is y⇒ x, So correct option is A.
What do you mean by converse statement?A converse statement is a type of logical statement in mathematics that takes a conditional statement and switches its hypothesis and conclusion. The converse of a statement is formed by interchanging the hypothesis and conclusion of the original statement. In other words, the converse of a statement takes the form "If B, then A," whereas the original statement takes the form "If A, then B."
For example, consider the statement "If it rains, then the roads are wet." The converse of this statement would be "If the roads are wet, then it rains." It's important to note that the converse of a statement may not always be true, even if the original statement is true.
In mathematical proofs, a converse statement can sometimes be used to support a proof, but it is not always reliable on its own. This is because the converse of a statement only establishes a logical relationship between two statements if both the original statement and its converse are true. If either the original statement or its converse is false, then the converse cannot be used to make a conclusion about the relationship between the two statements.
In conclusion, a converse statement is a type of logical statement that takes a conditional statement and switches its hypothesis and conclusion. It's important to note that the converse of a statement may not always be true, and its validity depends on the validity of both the original statement and its converse.
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Which of the following situations represent direct variation?
y = -5x
2y = x
y/x = 12
x/y = 4
All the equations are direct variation equations
How to determine the equations of direct variationA relationship between two variables is said to be a direct variation if one of the variables is proportional to the other, meaning that their ratio is always constant.
Using the above as a guide, we have the following:
y = -5x:
Direct variation
Constant of variation = -5
2y = x
Direct variation
Constant of variation = 1/2
y/x = 12
Direct variation
Constant of variation = 12
x/y = 4
Direct variation
Constant of variation = 1/4
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Q9 PLEASE HELP ASAP I ONLY HAVE 5 MIN
Answer: y=5x+2
Step-by-step explanation: I answered this question already, I believe.
The solution is in the attachment!!
Mario has 5 gallons of paint. He uses 1/4 gallon to paint a door. He uses 3/8 gallon to paint a wall. How much paint does Mario have left?
If f(x) = x² + 3x - 5, find the value of f(3).
Hey there!
[tex]\huge\textbf{Assuming:}[/tex]
[tex]\mathsf{f(x) = x^2 + 3x - 5}[/tex]
[tex]\mathsf{f(x) = 3^2 + 3(3) - 5}[/tex]
[tex]\mathsf{f(x) = 3 \times 3 + 9 - 5}[/tex]
[tex]\mathsf{f(x) = 9 + 9 - 5}[/tex]
[tex]\mathsf{f(x) = 18 - 5}[/tex]
[tex]\mathsf{f(x) = 13}[/tex]
[tex]\huge\text{Therefore your answer should be:}[/tex]
[tex]\mathsf{f(x) = 13}[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Consider the graph of the system of equations. What number of solutions, if any, does this system have? Justify your response.
After two weeks on a diet Raymond weighed 180 pounds, which was 90% of his original weight. What was Raymond’s original weight?
Answer:
Step-by-step explanation:
Multiply and simplify. 12) √6 (4√3+2√6)
The expression √6 (4√3 + 2√6) is multiplied and simplified to get 12√2 + 12
How to multiply and simplify the expressionFrom the problem we have the expression
√6 (4√3 + 2√6)
The problem is solved multiplying first
=√6 (4√3 + 2√6)
= √6 * 4√3 + √6 * 2√6
Using the distributive property, we can simplify each term:
√6 * 4√3 = 4 * √(6 * 3) = 4 * √18 = 4 * 3√2
√6 * 2√6 = 2 * √(6 * 6) = 2 * √36 = 2 * 6
Adding the two simplified terms, we get:
4 * 3√2 + 2 * 6 = 12√2 + 12
So, the expression √6 (4√3 + 2√6) simplified to 12√2 + 12.
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Info on the graph with needing the slopes:
PLEASE HELP I REALLY AM STRUGGLING WITH THIS
I added photos of both graphs to be looked at
Using this formula, the tax on 9701 will be 970 + 0.12(9701 − 9700) = 970 + 0.12(1) = $. . This means that your tax only goes up 12 cents instead of almost $200. The graphs show these two scenarios. The correct scenario is shown on Graph 1. The incorrect scenario is shown on Graph 2.
What is the slope of the first piece of the tax function? (Graph 1)
I got y=1x+0 but I don't know if I am correct.
What is the slope of the second piece of the tax function? (Graph 2)
What do these slopes tell us??
The slope for the first piece of the tax function is given as follows:
0.1.
The slope for the second piece of the tax function is given as follows:
0.2.
It tells that for smaller salaries, the tax rate is of 10%, while for salaries on a second range, the tax rate is of 20%.
How to obtain the slope of a linear function?The slope of a linear function represents the rate of change of the output variable relative to the input variable.
For the first piece, when x increases by 5000, the output increases by 500, hence the slope m is given as follows:
m = 500/5000
m = 0.1.
For the second piece, when x increases by 5000, the output increases by 1000, hence the slope m is given as follows:
m = 1000/5000
m = 0.2.
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A manufacturer can produce printer paper at a cost of $2 per ream. The paper has been
selling for $5 per ream, and at that price, consumers have been buying 4,000 reams a month.
The manufacturer is planning to raise the price of the paper and estimates that for each $1
increase in the price, 400 fewer reams will be sold each month. Express the manufacturer’s
monthly profit as a function of the price at which the reams are sold.
Answer:
Let x be the price per ream in dollars. Then, the manufacturer's profit per ream sold is (x - $2).
The manufacturer estimates that for each $1 increase in the price, 400 fewer reams will be sold each month. Thus, the number of reams sold can be expressed as 4000 - 400(x - $5) reams per month.
The manufacturer's total monthly profit is given by the product of the number of reams sold and the profit per ream, so it can be expressed as:
P(x) = (4000 - 400(x - $5)) * (x - $2)
So the monthly profit as a function of the price per ream is:
P(x) = 4000x - 8000 - 400x^2 + 2000x + 8000
This is a quadratic equation and its maximum value can be found using techniques from algebra or calculus.
Step-by-step explanation:
ABOVE
A volleyball is bumped straight up, from 3 m above the ground, with a velocity of 14 meters per second. When does the ball hit the ground?
The equation for the balls height (in meters) is h=-5t^2+14t+3 where t is time in seconds.
(Please let me know if I did it wrong, and explain please)
The function table representing the numerical values is given below.
What is a function?An function in mathematics defines a relationship between one variable (the independent variable, x) and another variable (the dependent variable, y). Example -
y = f{x} = ax + b
Given is a function as -
h = -5t² + 14t + 3
We can write the complete table as -
time {sec} height {m}
-2 - 5 x 4 + 14 x - 2 + 3 = - 45
-1 - 5 x 1 + 14 x - 1 + 3 = - 16
-0 - 5 x 0 + 14 x 0 + 3 = 3
1 - 5 x 1 + 14 x 1 + 3 = 12
2 - 5 x 4 + 14 x 2 + 3 = 11
3 - 5 x 9 + 14 x 3 + 3 = 0
4 - 5 x 16 + 14 x 4 + 3 = - 21
-5 - 5 x 25 + 14 x 5 + 3 = - 52
Therefore, the function table representing the numerical values is given above.
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When you arrive at the family reunion, Uncle Ignacio has already eaten 9 mini hot dogs. He continues to eat them at a rate of 4 hot dogs per minute. y = 4x + 9 models this situation. Make a graph of this situation.
Answer:
Step-by-step explanation:
y=mx + b where b= y intercept(when x=0) and m= slope(rise/run)
so there is a slope of 4 and a y intercept of 9
so starting from 9, you go up 4, and to the right 1. and that just repeats till you're satisfied.
60 POINTSSSS!!!!!!
BUT ONLY ANSWER CORRECTLY!
what is the amplified the sinusoidal function? enter your answer in the box.
The amplification of the sinusoidal function will be 4 times.
What is a function?A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.
The graph of the sinusoidal function is shown below.
The amplification of the function is given as,
A = Range / 2
A = (1 - (-7)) / 2
A = 8 / 2
A = 4
The amplification of the sinusoidal function will be 4 times.
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Divide. (54t2−81t)÷(9t)
Answer:
The answer is 6t-9. This can be calculated by dividing the numerator (54t2−81t) by the denominator (9t). This gives 6t-9.
Step-by-step explanation:
Answer:
81t2+16
Step-by-step explanation:
(9t-4)(-9t-4) : Equation
Distribute parentheses using:(a + b)(c + d) = ac + ad + bc + bd.
Where : a=9t, b=-4, c=-9t, d=-4.
This leads to 9t(-9t) +9t (-4) -4- (9t) -4 (-4).
Now we have to Apply minus-plus rule.
Where: -(-a)=a.+(-a)=-a
-9t.9t - 9t.4 + 4.9t = 4.4
=81t2+16
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Please help me with this I don't understand it Find the value of x (5w+20) 3w 4x (3a+2b)
The value of x is 30°
How to find the value of x?
Angle geometry is a branch of mathematics that deals with the study of angles and their properties in two-dimensional figures such as circles, triangles, and polygons.
(5w+20)° + 3w° = 180° (sum of angles on a straight line is 180° )
5w +20 + 3w = 180
8w + 20 = 180
8w = 180 - 20
8w = 160
w = 160/8
w = 20°
3w° + 4x° = 180° (sum of angles on a straight line is 180° )
3w + 4x = 180
Put w = 20 and solve for x:
3(20) + 4x = 180
60 + 4x = 180
4x = 180 - 60
4x = 120
x = 120/4
x = 30°
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Apply
14. The table shows the record high temperature, in degrees
Fahrenheit (°F) or degrees Celsius (°C), of certain states. The
formula F = 1.8C + 32 can be used to convert between degrees
Celsius and degrees Fahrenheit. What is the difference, in
degrees Celsius, between Nevada's record high temperature
and Alaska's record high temperature? Round to the nearest
tenth.
State
Alaska
Florida
Nevada
Texas
Record High
Temperature
38°C
109°F
125°F
49°C
George is standing on the top of a 275 ft building. He throws a ball straight up into the air. The ball's initial velocity is given as 48 ft/sec. The height, in feet, of the ball after t seconds is given by &=-16+48 +275. How long will it take for the ball to reach its maximum height above the ground? seconds What is the maximum height that the ball reaches? feet
The maximum height attained by the ball is 311 feet and it takes approximately 1.5 seconds to get there
What is the Maximum Height attainedTo find the time at which the ball reaches its maximum height, we need to find when its velocity is equal to 0. We can find the velocity at any time by taking the derivative of the height function, f(x). So, f'(x) = -32x + 48. Setting f'(x) = 0, we get:
f'(x) = -32x + 48 = 0
32x = 48
x = 1.5
So it takes 1.5 seconds for the ball to reach its maximum height.
b. To find the maximum height, we substitute t = 1.5 back into the height function, f(x):
f(1.5) = -16(1.5)^2 + 48(1.5) + 275
f(1.5) = -16(2.25) + 72 + 275
f(1.5) = -36 + 72 + 275
f(1.5) = 36 + 275
f(1.5) = 311 ft
Therefore, the maximum height the ball reaches is 311 feet.
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3) Decide if each of the following statements are true or false. If true, give a mathematical explanation. If false, give a counterexample.
a) If a quadrilateral is a square, then it is a rectangle.
b) If a quadrilateral has a pair of parallel sides, then it must have a pair of opposite
sides that are congruent.
c) If the diagonals of a quadrilateral are perpendicular to each other, then the
quadrilateral is a rhombus.
d) If a quadrilateral has one right angle, then all of its angles must be right angles.
e) Write the converse of each of the statements in a)–d) above. Which is true?
f) Write the contrapositive of each of the statements in a)-d) above. Which is true?
The required statements are true or false, are below in the solution part.
What is a square?A square is defined as a polygon that has four sides and is a closed, two-dimensional (2D) object. A square has equal and parallel sides on all four sides.
a) True. If a quadrilateral is a square, then it has four equal sides and four right angles. By definition, a rectangle also has four right angles, so a square is also a rectangle.
b) False. A counterexample is a parallelogram, which has a pair of parallel sides but does not have a pair of opposite sides that are congruent.
c) False. A counterexample is a rectangle, which has perpendicular diagonals but is not a rhombus, which is defined as a quadrilateral with four equal sides.
d) False. A counterexample is an isosceles trapezoid, which has one right angle but not all angles are right angles.
e) Converse of a) - If a quadrilateral is a rectangle, then it is a square. This is false, as there are rectangles that are not squares.
The converse of b) - If a quadrilateral has a pair of opposite sides that are congruent, then it must have a pair of parallel sides. This is true.
The converse of c) - If a quadrilateral is a rhombus, then its diagonals are perpendicular to each other. This is true.
The converse of d) - If all angles of a quadrilateral are right angles, then it has one right angle. This is false, as a square has four right angles but only one of them can be considered "one right angle".
f) Contrapositive of a) - If a quadrilateral is not a square, then it is not a rectangle. This is true.
The contrapositive of b) - If a quadrilateral does not have a pair of parallel sides, then it does not have a pair of opposite sides that are congruent. This is true.
The contrapositive of c) - If a quadrilateral's diagonals are not perpendicular to each other, then it is not a rhombus. This is true.
The contrapositive of d) - If a quadrilateral does not have one right angle, then all of its angles must not be right angles. This is true.
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Laura is the fund raising manager for a local charity she is ordering caps for an upcoming charity walk. The company that makes the caps chargers $6 per cap plus a $25 shipping fee . Laura had buaght of $1000 WhT is the greatest number of caps she can buy?
the maximum number of caps she can order is 162.
What is inequality?In mathematics, inequalities specify the connection between two non-equal numbers. Equal does not imply inequality. Typically, we use the "not equal sign ()" to indicate that two values are not equal. But several inequalities are utilized to compare the numbers, whether it is less than or higher than.
Given, Laura is the fundraising manager for a local charity she is ordering caps for an upcoming charity walk.
Let "x" be the number of caps she ordered.
Since, manufacturing cost for a cap = $6
shipping charges for the lot = $25
Thus,
Total price she paid for x caps = 6*x + 25
Since she had only 1000$
So,
6x + 25 ≤ 1000
6x ≤ 975
x ≤ 975/6
x ≤ 162.5
therefore, the maximum number of caps she can order is 162.
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1. The total cost y of an amusement park membership and the number an
merpret can be represented with Park meratior y= 15x + 20. Find and interpret the rate of change and initial value. (Example 1)
please provide an explanation on how to do it
The equation y = 15x + 20 means that the registration fee is $20 and $15 is charged per month
What is an equation?An equation is an expression showing the relationship between two or more numbers and variables. An equation can either be linear, quadratic, cubic and so on depending on the degree.
The standard form of a linear equation is:
y = mx + b
Where m is the rate of change and b is the y intercept
Let y represent the total cost of an amusement park membership for x number of months
Given that:
y = 15x + 20
Therefore the rate of change is $15 per month and the initial fee is $20. This means that the registration fee is $20 and $15 is charged per month
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Please use the law of sines to show me how to solve the triangle please. Thank you .
Angles in a triangle add to [tex]180^{\circ}[/tex].
[tex]\angle B=180^{\circ}-115.5^{\circ}-27.2^{\circ} \longrightarrow \boxed{\angle B=37.3^{\circ}}[/tex]
Using the Law of Sines:
[tex]\frac{AC}{\sin 37.3^{\circ}}=\frac{76.0}{\sin 115.5^{\circ}}\\\\\boxed{AC=\frac{76\sin 37.3^{\circ}}{\sin 115.5^{\circ}} \text{ ft}}[/tex]
[tex]\frac{BC}{\sin 27.2^{\circ}}=\frac{76.0}{\sin 115.5^{\circ}}\\\\\boxed{BC=\frac{76\sin 27.2^{\circ}}{\sin 115.5^{\circ}} \text{ ft}}[/tex]
sin(A) / a = sin(B) / b = sin(C) / c
where A, B, and C are the angles of the triangle, and a, b, and c are the lengths of the sides opposite those angles.