Step-by-step explanation:
this is you answer ; the common difference is 8. recursive formula is an =an-1 +d an =an -1+8
A researcher is interested in the decrease in mean bone fractures in postmenopausal women treated with vitamin and calcium supplementation. Assuming that the population under investigation has a standard deviation of 3 bone fractures, and that the goal margin of error of the estimate is plus or minus 0.4 fractures. How many women should be sampled to attain an estimate with 95% confidence
Answer: 217 women should be sampled to attain an estimate with 95% confidence.
Step-by-step explanation:
Let s be the prior population standard deviation.
Formula to find the sample size: \(n=(\dfrac{z^*\times s}{E})^2\), E=Margin of error
Given: s= 3
E= 0.4
Critical zvalue for 95% = 1.96
So, \(n=(\dfrac{1.96\times3}{0.4})^2\)
\(=216.09\approx217\)
Hence, 217 women should be sampled to attain an estimate with 95% confidence.
What is four fifths divided by two thirds?
Answer:6/5 or 1.2
Step-by-step explanation:
4/5 divided by 2/3
=4/5 *3/2
=12/10
=6/5
=1.2
Two sides of a triangle are 11 can and 14 cm what are all the possible values for the length of the third side
Answer:
Step-by-step explanation:
The third side is thus, less than 14 + 11 = 25 cm. The side cannot be less than the difference of the two sides. Thus, the third side has to be more than 14 - 11 = 3 cm. So, the length of the third side could be any length greater than 3 cm and less than 25 cm.
Answer the questions below. I need answer for letter (c)
Answer:
C is the answer, please choose the letter C that's the answer
Please help. I cant figure it out
Vilma owns 750 shares of Aeropostale. On August 22, the corporation
instituted a 3 for 2 split. Before the split, each share was worth $34.89.
a. How many shares did Vilma hold after the split?
b. What was the post-price per share after the split?
a. How many shares did Vilma hold after the split is 1,125 shares
b. The post-price per share after the split is 23.26 shares
Given:
3 for 2 split
750 shares of Aeropostale
Share worth $34.89
1. How many shares did Vilma hold after the split
Vilma Number of Shares=3/2×750 shares
Vilma Number of Shares=1,125
2. The post-price per share after the split
Post-price per share=2/3×$34.89
Post-price per share=23.26 shares
Inconclusion:
a. How many shares did Vilma hold after the split is 1,125 shares
b. The post-price per share after the split is 23.26 shares
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Answer:
a. How many shares did Vilma hold after the split is 1,125 shares
b. The post-price per share after the split is 23.26 shares
Step-by-step explanation:
a. How many shares did Vilma hold after the split is 1,125 shares
b. The post-price per share after the split is 23.26 shares
Given:
3 for 2 split
750 shares of Aeropostale
Share worth $34.89
1. How many shares did Vilma hold after the split
Vilma Number of Shares=3/2×750 shares
Vilma Number of Shares=1,125
2. The post-price per share after the split
Post-price per share=2/3×$34.89
Post-price per share=23.26 shares
Inconclusion:
a. How many shares did Vilma hold after the split is 1,125 shares
b. The post-price per share after the split is 23.26 shares
enter the value x that makes the equation
Answer:
x=-192
Step-by-step explanation:
simplyfying we get
2/3x-4= 3/4x+12
so subratcing 2/3 on both sides we get
-4= 9x/12- 8x/12+12
subtracting 12 from both sides we get
-16= x/12
x= -192
if my answer helps please mark as brainliest
A, B, C, or D please and ty
Answer:
B I'm pretty sure
Step-by-step explanation:
9 and 4 have 36 in common
to get 9 to 36 you multiply it by 4 and 2x4 is 8
to get 4 to 36 you multiply it by 9 and 1x9 is 9
9+8 is 17
which rule explains why these triangles are congruent?
AAS
SAS
ASA
SSS
These triangles cannot be
proven congruent.
How many constants are in the following expression? 2y + 2
Once we make the product we get:
\(2y+4\)in this expression the constant term is 4, therefore the expression has one constant term.
In 2011 Staci invested $14,500 in a savings account for her newborn son. The account pays 3.5% interest each year. Determine the accrued value of the account in the year 2029, when her son will go to college. Round your answer the nearest cent.
The accrued value of Staci's investment in the account in the year 2029 is $26933.59
Calculating the accrued value of the accountThe statements in the question can be sumarrized as
Invested amount = $14,500Rate of interest = 3.5% compounded annually.The formula to calculate amount on investment is
Amount = P * (1 + r)ⁿ
Where
P = Principal = 14,500r = Rate = 3.5%n = time = 2029 - 2011 = 18When the values are substituted in the amount equation, we have
Amount = 14500 * (1 + 3.5%)¹⁸
Evaluate
Amount = 26933.59
Hence, the amount after the investment is $26933.59
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Can someone please tell me if this is right or what the right answer is pleaseeeeee
D.
Step-by-step explanation:
You've got it right, the entire graph goes 3 units down, and shifted 1 to the left by p(x+1).
Please help me!!!!! A tissue box has a volume of 1,001 in . Find the height of the tissue box, in inches, if it is 7 inches wide and 13 inches long. Provide an answer accurate to the nearest tenth.
To find the height of the tissue box, we use the formula for the volume of a rectangular prism, substituting the given values. We get a height of approximately 11.0 inches, rounded to the nearest tenth.
To find the height of the tissue box, we need to use the formula for the volume of a rectangular prism, which is:
volume = length x width x height
We are given the volume of the tissue box as 1,001 cubic inches, and its width and length as 7 inches and 13 inches, respectively. We can enter these values as substitutes in the formula to obtain:
1,001 = 13 x 7 x height
The right side of the equation is simplified, and the outcome is:
1,001 = 91 x height
Dividing both sides by 91 gives:
height = 1,001 / 91
We can evaluate this expression with a calculator to obtain:
height ≈ 11.0
Therefore, the height of the tissue box is approximately 11.0 inches, rounded to the nearest tenth.
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Find the PERIMETER and AREA of each figure below
help ASPS
Find the perimeter and area 22-24 and only find the area for 25-26
Answer:
22)
\(2(length+breadth+h)\)\(2(5a^2b^2+3ab^2)\)\(Perimeter: 2ab^2(5a^2+31)\)\(Area:-\)
\(5a^2b^4 *3ab^2\)\(A=15a^2b^6\)-----------
23)
\(perimeter:-\)
\(4m^2+3mn^2+7mn\)\(4m^2+10mn^2\)\(answer: 2m(2m+5n^2)\)\(Area:-\)
\(\frac{1}{2}* base* height\)\(1/2*3mn^2*4m^2\)\(6mx^{2+1}n^2\)\(A=6m^3n^2\)----------
24)
\(1/2*b*h\)\(1/2x^24m^2*8mn\)\(A=16m^3n\)----------
25)
\(1/2*(7a^2b+11a^2b)*3ab\)\(1/2*18a^2b*3ab\)\(9a^2b*3ab\)\(A=27 a^3b^2\)------------
26)
\(A= 9\pi (x^3y)^2\)∴To calculate the perimeter , add the length of its sides.
∴To calculate the area, multiply its height by its width.
------------------------
hope it helps...
have a great day!!
6. The graph below displays the growth of a plant, in millimeters.
Growth of Plant
in one week, the plant grows 125 mm so the slope of the line is 12
The plant grows 125 mm each week so the slope of the line is 125.
The slope is one because the plant grows one mm each week.
100
Not here
Week
CLEAR ALL
Based on the given graph, explain the slope of the line in terms of the unit rate of the
plant's growth, in millimeters, per week.
Answer:
Step-by-step explanation:
B
From the graph the slope of a line is 100.
Given that, the graph below displays the growth of a plant, in millimeters.
What is slope of a line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The formula to find the slope of a line is slope = (y2-y1)/(x2-x1).
From the given graph, the slope is rise/run
= 400/4
= 100
Therefore, from the graph the slope of a line is 100.
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Solve the equation using the steps:
2(x + 8)= 2x + 8
After solving the Algebraic Expression 2(x + 8)= 2x + 8, we will get x∈∅. Variable x is dissolved in itself, making it impossible to find its value.
How to solve the given equation: 2(x + 8)= 2x + 8?Before moving to solve the equation , let's learn how to solve any algebraic expression:
Step 1: Determine whether the Distributive is necessary.
Property. If so, spread the word!
Step #2: Group similar terms together on either side of the equals symbol.
(meaning: combine all of the similar factors AND
Add up each and every integer (number).
Step #3: Align the variables so that they are all to one side of the equals symbol.
utilizing the inverse process. REMEMBER: No matter what you do
You MUST do to the other side of the equals sign what you did to the one side.
equals (symbol).
Fourth Step: When all of your variables are situated on the same side of the
You must transfer each number to the opposite sign of the equals by applying the inverse procedure on the equals sign. REMEMBER:
fourth Step: When all of your variables are situated on the same side of the
You must transfer each number to the opposite sign of the equals by applying the inverse procedure on the equals sign. REMEMBER:
You MUST do anything you do to one side of the equals sign.
the reverse of the equals symbol).
Step #5: Using the variable's ALONE state, isolate it
the opposite process. DO NOT FORGET: No matter what you do to one
You MUST change the other side of the equals symbol to the equals symbol
Given:
2(x + 8)= 2x + 8
2 × x + 2 × 8= 2x + 8
2x+16= 2x+ 8
16= 8
So, x∈∅.
In this equation , the value of x could not be find because variable x is dissolved in itself.
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One endpoint of a line segment has the coordinates (-5, 12). If the midpoint of the segment is at (2,9), find the
coordinates of the missing endpoint.
Answer:
(9, 6)
Step-by-step explanation:
Midpoint formula is:
x = (x₁ + x₂)/2y = (y₁ + y₂)/2Having coordinates of one end- and midpoint (-5, 12) and (2, 9):
x₁ = -5, y₁ = 12x = 2, y = 9we get the coordinates of the missing endpoint with coordinates (x₂, y₂):
x₂ = 2x - x₁ = 2*2 - (-5) = 4 + 5 = 9y₂ = 2y - y₁ = 2*9 - 12 = 18 - 12 = 6So the missing point is: (9, 6)
I need help , any of u guys have the answer?
Match the following. Match the items in the left column to the items in the right column. 1. domain the first element of a relation or function; also known as the input value. 2. output a relation in which every input value has exactly one output value. 3. input the x-value of a function. 4. relation any set of ordered pairs (x, y) that are able to be graphed on a coordinate plane. 5. function the y-value of a function. 6. range the second element of a relation or function; also known as the output value.
The matching of items and their corresponding descriptions are 1. Domain, 2.Output, 3. Input, 4. Relation, 5. Function, and 6. Range.
What is the appropriate matching of the following items?1. Domain - the first element of a relation or function; also known as the input value.
3. Input - the x-value of a function.
6. Range - the second element of a relation or function; also known as the output value.
4. Relation - any set of ordered pairs (x, y) that are able to be graphed on a coordinate plane.
2. Output - a relation in which every input value has exactly one output value.
5. Function - the y-value of a function.
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8. REINFORCE Sara earns $72 dollars for every 6 hours of work. How much would she make in 1 hour?
Answer:
$12 per hour
Step-by-step explanation:
You would divide both 72 and 6, by 6. That should get you 12 dollars for 1 hour.
enter the range of values for x:
12x because you multiply it
How do you know two lines are parallel?
1) They look parallel
2) Their slopes are negative
reciprocals
3) There is no way to tell
4) Their slopes are equal
Answer:
4) Their slopes are equal
Step-by-step explanation:
Parallel lines with the same slope will never meet because they have the same slope
Answer:
D) Their slopes are equal.
Step-by-step explanation:
For a line to be parallel, both lines need to be going at the same angle forever and never intersect. So if the slopes of the lines are equal, both of the lines would be at the same angle going the same direction. It does not matter where the lines are on the graph! It can be on top of the other line or far away from the other line, it just needs to have the same slope.
The function P(m) below relates the amount of time (measured in minutes)
Steve spent on his homework and the number of problems completed.
It takes as input the number of minutes worked and returns as output the
number of problems completed.
P(m) = 12 +9
Which equation below represents the inverse function M(p), which takes the
number of problems completed as input and returns the number of minutes
worked?
OA. M(p) = 6p + 54
OB. M(p) = 6p - 54
OC. M(p) = 54p - 6
OD. M(p) = 54p + 6
The inverse function of a function f in mathematics exists a function that reverses the operation of f. The number of problems completed as input and returns the number of minutes worked exists m(p) = 6p - 54.
What is meant by inverse function?An inverse in mathematics is a function that "undoes" another function. In other words, if f(x) yields y, then y entered into the inverse of f yields the output x.
Given: P(m) = (m/6) + 9
Determine the inverse function
P(m) = (m/6) + 9
Represent P(m) as P
P = (m/6) + 9
Swap the positions of P and m
m = (p/6) + 9
We are to make p the subject.
Subtract 9 from both sides, then we get
m - 9 = (p/6) + 9 - 9
m - 9 = (p/6)
Multiply through by 6
6(m - 9) = (p/6) × 6
simplifying the above equation, we get
6(m-9) = p
6 m-54 = p
Rearranging the above equation, we get
p = 6m - 54
Swap the positions of P and m
m = 6p - 54
m(p) = 6p - 54
Therefore, the correct answer is option C. M(p)=6p - 54
The complete question is:
The function below relates the amount of time (measured in minutes) Steve spent on his homework and the number of problems completed.
It takes as input the number of minutes worked and returns as output the number of problems completed.
P(m) = (m/6)+9
Which equation below represents the inverse function M(p), which takes the number of problems completed as input and returns the number of minutes worked?
A. M(p)=54p + 6
B. M(p)=54p - 6
C. M(p)=6p - 54
D. M(p)=6p + 54
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Answer:6p-54
Step-by-step explanation:
can someone please help me with this question
By the definitiοn οf cοngruency, line segment AX is cοngruent tο line segment CX.
What is cοngruency?Cοngruency is a term used in geοmetry tο describe the equality οf twο geοmetric figures in terms οf size and shape. Twο figures are said tο be cοngruent if they have the same shape and size, which means that all cοrrespοnding angles are equal, and all cοrrespοnding sides are equal in length.
The cοncept οf cοngruency is impοrtant in geοmetry because it allοws us tο cοmpare and analyse geοmetric shapes and οbjects based οn their similarities and differences.
Given: Angle A is cοngruent tο angle C, and line segment BX is cοngruent tο line segment DX.
Tο prοve: Line segment AX is cοngruent tο line segment CX.
Statement 1: ∠AXD ≅ ∠CXB (Given)
Statement 2: Triangle AxD ≅ Triangle CXB (By Angle-Side-Angle cοngruence)
Statement 3: Ax ≅ Cx (By Cοrrespοnding parts οf cοngruent triangles are cοngruent)
By cοmbining statements 2 and 3, we can cοnclude that line segment AX is cοngruent tο line segment CX. Therefοre, the prοοf is cοmplete.
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The diagram shows a 20 foot ladder leaning against a wall,”. The bottom of the ladder is 10 feet from the base of the wall. Based on these dimensions, what is the value of the x? HELP PLZ GOD HELP ME URGENT
Answer:
Step-by-step explanation:
Remember that the sides of a 30-60-90 triangle are in the ratio 1:√3:2
Since the horizontal leg is half the hypotenuse, it must be a 30-60-90 triangle, and x° = 30°
Ben deposited $6,500 in a simple interest account that pays 2.8% interest annually. If Ben leaves the money in the account for 12 years, how much interest will he earn?
Answer: $2184
Step-by-step explanation:
(6800)(0.028)(12) = 2184
Determine the validity of the converse and give a counterexample if the converse is not valid.
If it is sunny, then it is 80° Fahrenheit. The converse is valid.
If it is 80° Fahrenheit, then it is sunny. The converse is valid.
If it is not sunny, then it is not 80° Fahrenheit. The converse is invalid; a counterexample is a day that is not 80° Fahrenheit and not sunny.
If it is 80° Fahrenheit, then it is sunny; The converse is invalid; a counterexample is a day that is 80° and cloudy.
Your analysis is correct. Here's a summary:
If it is sunny, then it is 80° Fahrenheit. (Original statement)
Converse: If it is 80° Fahrenheit, then it is sunny. (Valid)
If it is 80° Fahrenheit, then it is sunny. (Original statement)
Converse: If it is sunny, then it is 80° Fahrenheit. (Valid)
If it is not sunny, then it is not 80° Fahrenheit. (Original statement)
Converse: If it is not 80° Fahrenheit, then it is not sunny. (Invalid)
Counterexample: A day that is not 80° Fahrenheit and not sunny (e.g., 70° and cloudy).
If it is 80° Fahrenheit, then it is sunny. (Original statement)
Converse: If it is sunny, then it is 80° Fahrenheit. (Invalid)
Counterexample: A day that is 80° Fahrenheit and cloudy.
In cases 1 and 2, the original statements and their converses are valid because the relationship between "sunny" and "80° Fahrenheit" holds in both directions. However, in cases 3 and 4, the converses are invalid because there are counterexamples where the second part of the statement (either "not 80° Fahrenheit" or "cloudy") does not necessarily imply the first part ("not sunny" or "80° Fahrenheit").
TRUE/FALSE. When selecting an alpha level to conduct a hypothesis test, the researcher is determining the probability of making a Type I error.
If the null hypothesis is correct, the probability that the test will result in a type 1 mistake is what is known as the alpha level for a hypothesis test. In other words, even in the absence of a treatment effect, the alpha level impacts the likelihood of collecting sample data in the critical zone.
The alpha level establishes the boundaries for identifying the key area that results in "extremely unlikely" or significant results that deviate from the null hypothesis. The likelihood of making a Type I error is one in twenty, according to researchers who use an alpha value or level of significance of.05.
The chance of rejecting the null hypothesis when it is true is known as the significance level, which is alternatively written as alpha or. For instance, a significance level of 0.05 represents a 5% probability of assuming the existence of a difference when none actually exists.
Hence we get the required answer.
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In the number 16.005what is the place value for the 5?
Answer:
Thousandths.
Step-by-step explanation:
The third decimal place, which is three places after the decimal point is called as the thousandths place.
The number 5 is at the thousandths place.
If 3x-4 = 14 then x = 6 true or false
Answer:
True.
Step-by-step explanation:
If we put the values:
3×6-4=14
18-4=14
14=14
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