The standard error of the difference is 0.033. This information can be used to perform further statistical analysis, such as a hypothesis test or calculating a confidence interval, to determine the effectiveness of the treatments.
1. Calculate the survival rates for each group:
Group 1: The number of frogs that survived after treatment in Group 1 is 259, out of a total of 400 frogs. To calculate the survival rate, divide the number of survivors by the total number of frogs:
Survival rate of Group 1 = Number of surviving frogs in Group 1 / Total number of frogs in Group 1 = 259 / 400 ≈ 0.6475 (rounded to four decimal places)
Group 2: The number of frogs that survived after treatment in Group 2 is 300, out of a total of 482 frogs. Calculate the survival rate by dividing the number of survivors by the total number of frogs:
Survival rate of Group 2 = Number of surviving frogs in Group 2 / Total number of frogs in Group 2 = 300 / 482 ≈ 0.6224 (rounded to four decimal places)
2. Calculate the difference in survival rates:
To determine the difference in survival rates between Group 1 and Group 2, subtract the survival rate of Group 2 from the survival rate of Group 1:
Difference = Survival rate of Group 1 - Survival rate of Group 2 = 0.6475 - 0.6224 ≈ 0.0251 (rounded to four decimal places)
3. Interpretation:
The difference in survival rates, 0.0251, represents the numerical difference between the two groups' outcomes. However, it's important to note that this difference alone doesn't provide information on whether it is statistically significant or due to random chance.
4. Standard error:
The standard error is a measure of the variability or uncertainty associated with the estimate of the difference. In this case, the standard error of the difference is given as 0.033. It quantifies the average amount of deviation or uncertainty we can expect in estimating the true difference between the groups.
Further statistical analysis, such as hypothesis testing or constructing confidence intervals, can be performed to evaluate the significance of the observed difference and draw conclusions about the effectiveness of the treatments.
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In 1984, the population of Greensboro, N.C. was 197,910. According to the U.S. Census Bureau, Greensboro has been decreasing at the rate of 6.9% annually since 1984. What equation models the population of Greensboro t years after 1984? a. y = 197,910(1 - 6.9)^t
b. y = 197,910(1 - 69)^t
c. y = 197,910(1 – 0.069)^t
d. y = 197,910(1 -0.69)^t
The correct response is b. y = 197,910(1.069)^t. 197,910 people called Greensboro, North Carolina, home in 1984. Since 1984, Greensboro's population has been declining at an average rate of 6.9% per year, according to the U.S. Census Bureau.
The average rate at which one quantity changes in relation to another's change is referred to as the average rate of change function. An average rate of change function is a calculation that divides the amount of change in one item by the corresponding amount of change in another. Below are some examples of typical change rates: The typical bus speed is 80 km/h. Fish populations in lakes increase at a rate of 100 each week. For every 1 volt drop in voltage, an electrical circuit's current reduces by 0.2 amps.
The population of Greensboro t years after 1984 is y = 197,910(1.069)^t.
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i need help with #7 c and d
Answer:
c. 33.0%
d. 14.5%
Step-by-step explanation:
For answering questions about percentages in different categories or combinations of categories, it is convenient to find the totals of rows and columns in the table. These totals are shown in the attached.
__
c.Students who surf total 32+65 = 97. Of those, 32 also skateboard. The requested percentage is ...
32/97 × 100% ≈ 33.0% . . . . surfers who also skateboard
__
d.The total number of students is 166. Of those, the number who neither surf nor skateboard is 24. That percentage is ...
24/166 × 100% ≈ 14.5% . . . . students who don't surf or skateboard
_____
Additional comment
a. 97/166 ≈ 58.4% surf
b. 89/166 ≈ 53.6% do not skateboard
__
This sort of table is called a "two-way table." One set of categories is represented in rows, another set is represented in columns. This table is filled with frequencies. Such tables can also display relative frequencies by dividing the entire table by the total of totals in the lower right corner.
suppose that you are dealt 5 cards from a well shuffled deck of cards. what is the probability that you receive a hand with exactly three suits
Probability of receiving a hand with exactly three suits \(= (4 * (13^3)) / 2,598,960\)
What is Combinatorics?
Combinatorics is a branch of mathematics that deals with counting, arranging, and organizing objects or elements. It involves the study of combinations, permutations, and other related concepts. Combinatorics is used to solve problems related to counting the number of possible outcomes or arrangements in various scenarios, such as selecting items from a set, arranging objects in a specific order, or forming groups with specific properties. It has applications in various fields, including probability, statistics, computer science, and optimization.
To calculate the probability of receiving a hand with exactly three suits when dealt 5 cards from a well-shuffled deck of cards, we can use combinatorial principles.
There are a total of 4 suits in a standard deck of cards: hearts, diamonds, clubs, and spades. We need to calculate the probability of having exactly three of these suits in a 5-card hand.
First, let's calculate the number of favorable outcomes, which is the number of ways to choose 3 out of 4 suits and then select one card from each of these suits.
Number of ways to choose 3 suits out of 4: C(4, 3) = 4
Number of ways to choose 1 card from each of the 3 suits\(: C(13, 1) * C(13, 1) * C(13, 1) = 13^3\)
Therefore, the number of favorable outcomes is \(4 * (13^3).\)
Next, let's calculate the number of possible outcomes, which is the total number of 5-card hands that can be dealt from the deck of 52 cards:
Number of possible outcomes: C(52, 5) = 52! / (5! * (52-5)!) = 2,598,960
Finally, we can calculate the probability by dividing the number of favorable outcomes by the number of possible outcomes:
Probability of receiving a hand with exactly three suits =\((4 * (13^3)) / 2,598,960\)
This value can be simplified and expressed as a decimal or a percentage depending on the desired format.
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Use the expression 73·72 to complete true statements.
Answer:
76 77 77 77 77 77 77
second row
Step-by-step explanation:
Answer:
5256 next time use calculator
Step-by-step explanation:
What explanation does Mrs Wright give her husband's death?
Mrs. Wright give here explanation against her husband's death that somebody strangled him
The term trifles is a one-act play written by Susan Glaspell
And in that play they represents the two women discuss the life of a woman accused of murdering her husband, here we have also know that while the sheriff and county attorney investigate the scene.
Here we have to know that In Trifles the character names as Mrs. Wright explains her husband's death by saying he died "of a rope around his neck."
And here she also claims that someone strangled him and she also explains her situation in order to explain his demise.
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If a meteorologist says there is a 25% chance of snow tomorrow, what is the probability that it will not snow? I need and answer in fraction form
HELP PLEASE HELP I HAVE TO GET 5 MORE OF THESE QUESTIONS DONE IN 15 MINUTES
Answer:I think the answer is B
Step-by-step explanation:
Answer:
This is actually really confusing cause there is to options its either B or C
Step-by-step explanation:
Use your understanding of populat
2. A school board randomly samples 80 students to determine their opinion on requiring school uniforms for the next school year. The table shows the results of the survey.
OPPOSED
11
UNDECIDED
24
IN FAVOR
45
a. If 1,200 students are in the district, how many students can be expected to oppose school uniforms? x = 1/9
b. Bernice says that based on the survey, a student is more likely to be undecided or opposed than in favor. Do you agree or disagree? Why or why not?
CManeuvering the Middle LLC
a. If 1,200 students are in the district, 165 students can be expected to oppose school uniforms.
b. From the sample, the most likely outcome is in favor, as it got the most responses, hence we should disagree with Bernice.
What is proportion?A proportion is a fraction of the total amount.
Out of 80, 11 opposed, hence, out of 1200, we apply the proportion and find that the amount will be of:
1200 x 11/80 = 165.
Hence, a - 165 students can be expected to oppose school uniforms.
b - We should disagree with Bernice because the sample indicates that the outcome in favor is the most likely because it received the most answers.
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If dy/dx= (x^3+1)/y and y=2 when x=1, then, when x=2, y=I am very confused as to what to do. all i know is when youplug in for x and y with the y=2 and x=1, the answer is 1since is is 2/2. what then do you do?
The value of y is ± (3√6/2) when x =2
To find the value of y when x = 2, we can use the given differential equation and initial condition.
Given: dy/dx = (x³ + 1)/y
Let's solve the differential equation using the separation of variables:
Separating the variables, we have:
y dy = (x³ + 1) dx
Integrating both sides, we get:
∫ y dy = ∫ (x³ + 1) dx
Integrating the left side:
(1/2) y² = (1/4) x⁴ + x + C
Now, using the initial condition y = 2 when x = 1, we can solve for C:
(1/2) (2²) = (1/4) (1)⁴ + 1 + C
2 = 1/4 + 1 + C
2 = 5/4 + C
C = 2 - 5/4
C = 3/4
Substituting the value of C back into the equation:
(1/2) y² = (1/4) x⁴ + x + 3/4
Multiplying both sides by 2 to eliminate the fraction:
y² = (1/2) x⁴ + 2x + 3/2
Now, we can substitute x = 2 into the equation to find y:
y² = (1/2) (2)⁴ + 2(2) + 3/2
y² = 8 + 4 + 3/2
y² = 27/2
y = ± (3√6/2)
Therefore, The value of y is ± (3√6/2) when x =2
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What is the volume of a cylinder with a radius of 1.5 inches and a height of 9 inches round your answer to the nearest hundredthWhat is the volume of a cylinder with a radius of 1.5 inches and a height of 9 inches round your answer to the nearest hundredth
Answer:
V = 63.62
Step-by-step explanation:
Answer: 63.62 cubic inches
Step-by-step explanation:
REMEMBER :: VOLUME OF CYLINDER = πr^2h
r= 1.5 in.
h= 9 in.
V= π (1.5)^2 (9)
V= π (2.25) (9)
V= π (20.25)
V~63.6172512...
nearest hundredth = 63.62 cubic inches
six decreased by 9 times a number is -39
The translation of the mathematical statement given as six decreased by 9 times a number is -39 is 9x - 6 = -39
How to translate the mathematical statement?The mathematical statement is given as:
six decreased by 9 times a number is -39
9 times a number means
9 * x (assume x is the number)
So, we have:
six decreased by 9 times a number is -39 ⇒ six decreased by 9x is -39
Decreased by means we subtract 6 from 9x.
So, we have:
six decreased by 9 times a number is -39 ⇒ 9x - 6 = -39
Hence, the translation of the mathematical statement given as six decreased by 9 times a number is -39 is 9x - 6 = -39
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Is the function y = x - 2/3
linear or nonlinear?
Answer:
linear
Step-by-step explanation:
y = mx + b is equation for linear functions
Two trees are planted next to each other. One tree is 4 meters tall and casts a 16-meter shadow. Determine the height of the other tree if it casts a 29-meter shadow.
1.81 m
3.25 m
7.25 m
12.25 m
The height of the other tree is 7.25 meters
How to determine the height of the other treeFrom the question, we have the following parameters that can be used in our computation:
One tree is 4 meters tall casts a 16-meter shadowUsing the above as a guide, we have the following:
Ratio = Height : Shadow
So, we have
Height : Shadow = 4 : 16
Simplify
Height : Shadow = 1 : 4
So, we have
Height : 29 = 1 : 4
This means that
Height = 29 * 1/4
Evaluate
Height = 7.25
Hence the height is 7.25 meters
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Answer:
The height of the other tree is 7.25 meters
Step-by-step explanation:
Factor each polynomial using the difference of two perfect squares
Number 5
So for the difference of perfect squares factor with the numbers on both factors having to be the same, but one adds and one subtracts.
\(m^2-\frac{1}{9}\)\(\begin{gathered} \text{The formula is} \\ a^2-b^2=(a+b)(a-b)_{} \end{gathered}\)\(m^2-\frac{1}{9}=(m+\frac{1}{3})(m-\frac{1}{3})\)Which of the following equations is true
If △ABC ~ △DEF, find the length EF.
Answer:
EF=BC (by CPCT) if both Triangle are ~
At a market, a pear cost bc and an apple cost 5 ¢ less than a pear. Mrs Ravi bought 5 pears and an apple. (a) (b) Find the total amount in cents Mrs Ravi paid in terms of b. If each pear cost 60 c, how much did Mrs Ravi pay? Leave your answer in cents.
Answer:
$355
Step-by-step explanation:
if each pear is 60c and apples are 5c less...
60×5=300
300+55=355
because 60-5=55
The lengths of the legs of a right triangle are given. Find the hypotenuse.a =8. b = 15The length of the hypotenuse, C, is
Solution:
Concept:
To solve the length of the hypotenuse, we will use the Pythagoras theorem below
\(\begin{gathered} hypotenus^2=opposite^2+adjacent^2 \\ c^2=a^2+b^2 \\ where, \\ a=8 \\ b=15 \end{gathered}\)By substituting the values, we will have
\(\begin{gathered} c^{2}=a^{2}+b^{2} \\ c^2=8^2+15^2 \\ c^2=64+225 \\ c^2=289 \\ c=\sqrt{289} \\ c=17 \end{gathered}\)Hence,
The length of hypotenuse C , is
\(\Rightarrow c=17\)If this is a representative sample of the entire 450-student 7th grade, then how many students would have birthdays in February?
Answer:
\((a)\ Total = 75\)
\((b)\ Students = 100\)
Step-by-step explanation:
Given
See attachment for complete question
Solving (a); Number of students represented.
To do this, we simply calculate the length of each bar and then sum them up.
So, we have:
\(Jan = 16\)
\(Feb = 10\)
\(Mar = 18\)
\(Apr = 15\)
\(May = 5\)
\(Jun = 11\)
So, the total is;
\(Total = Jan + Feb + Mar + Apr + May + Jun\)
\(Total = 16 + 10 + 18 + 15 + 5 +11\)
\(Total = 75\)
Solving (b): Prediction of February students out of a total of 750.
To do this, we use:
\(Students = \frac{Month}{Total} * 750\)
For February, we have:
\(Students = \frac{Feb}{Total} * 750\)
\(Students = \frac{10}{75} * 750\)
\(Students = \frac{10 * 750}{75}\)
\(Students = \frac{7500}{75}\)
\(Students = 100\)
Answer:
this answer is incorrect
Can someone help me with these worksheets pls
Answer:
Count up the side so for 10 count the Arrow going up for the 5 count to the side but like for example.
Go up 10 and move left 5 times?
Does this help
Step-by-step explanation:
T/F: Nonsampling errors reduce the overall quality of data regardless of the data collection method.
True. Nonsampling errors refer to errors that occur during the data collection process that are not related to the sampling method used. These errors can occur in any type of data collection method, whether it be through surveys, experiments, or observational studies.
Nonsampling errors can arise due to a variety of reasons, such as poor survey design, biased sampling methods, inadequate training of surveyors, errors in data entry or processing, or even deliberate fraud.
Nonsampling errors can have a significant impact on the quality of the data collected, as they can introduce biases and inaccuracies into the results. These errors can result in incorrect conclusions and decisions based on the data, which can have serious consequences. Therefore, it is important to take steps to minimize nonsampling errors during the data collection process, such as carefully designing surveys, ensuring proper training of surveyors, and conducting thorough quality checks on the data collected.
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quick and simpler please im practicing this for class
Answer:
a=9/100 b= 7/20
Step-by-step explanation:
For a all you do is take the 9 out of the 100 in 1.
For b, all you do is take the 35/100, and then simplify it, so in this case it is 7/10 if you divide both the numerator and denominator by 5.
So a = 9/100 and b = 7/20
the radius of a circle is 7 cm.the circle is divided into two equal parts.what is the perimeter of each semicircle part
Answer:
≈ 22 cm
Step-by-step explanation:
the circumference (C) of a circle ( the perimeter ) is calculated as
C = 2πr ( r is the radius )
= 2π × 7 = 14π
since divided into 2 equal parts then
\(\frac{1}{2}\) C = 14π ÷ 2 = 7π ≈ 22 cm ( to the nearest whole number )
a wire is cut into two pieces, one of length and the other of length . the piece of length is bent to form an equilateral triangle, and the piece of length is bent to form a regular hexagon. the triangle and the hexagon have equal area. what is ?
The value of a/b is \(\sqrt{6}\) / 2
What is called mensuration?The area of mathematics known as mensuration is concerned with measuring geometric shapes and their various characteristics, such as length, volume, shape, surface area, lateral surface area, etc. In fundamental mathematics, learn about mensuration.
What is mensuration in real life?Measurement of agricultural fields, floor areas required for purchase/selling transactions. Measurement of volumes required for packaging milk, liquids, solid edible food items. Measurements of surface areas required for estimation of painting houses, buildings, etc.
According to the question:-
Side of an equilateral triangle equals a/3.
Therefore, the equilateral triangle's area is equal to (1/2)(a/3)2 sqrt (3) / 2 = a2 [sqrt (3)/ 36].
Hexagonal side equals b / 6.
The area is thus 6 (1/2) (b/6)^2 sqrt (3) / 2
= b^2 [ 3 sqrt (3) / 72] = b^2 [sqrt (3) / 24]
So
sqrt (3) / 36 a2 = sqrt (3) / 24 b2
So
A2 / B2 = [Sqrt(3)/24] / [Sqrt(3)/36]
a^2 / b^2 = [ 36 / 24 ]
a^2/ b^2 = 3/2
A/ B = Sqrt(3) / Sqrt(2)
=Sqrt(6) / 2
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a grocer sells apples for $1.35 each, pears for $1.45 each and oranges for $1.60 each. she also offers a discount of 70c for anyone who buys two pieces of fruit, and a discount of $1.60 for anyone who buys three pieces of fruit. one day she sells 50 pieces of each type of fruit, for a total of $202. how many customers did she have, assuming each customer bought 1, 2 or 3 pieces of fruit?
Answer:
88 people bought two fruit=.70
86 people bought three fruits=1.60
1 person bought an apple=1.35
1 person bought a pear=1.45
Step-by-step explanation:
1.60 x 86=137.6
88 x .7=61.6
61.6 + 137.6=199.2
1.35 + 1.45=2.8
199.2 + 2.8=202
A
B
D
C
If m/ABC = 130° and m/DBC = 30°,
then m/ABD = [?]°
The measure of the angle m∠ABD is 100°.
What is the measure of angle?
In mathematics, an angle is defined as the amount of rotation between two lines or planes that share a common point. The measure of an angle is typically given in degrees or radians. A full rotation is equal to 360 degrees or 2π radians, and the size of an angle can range from 0 degrees (no rotation) to 360 degrees (a full rotation).
In the given figure, m∠ABC = 130° and m∠DBC = 30° is given.
And we have to find the m∠ABD
so
m∠ABC = m∠ABD + m∠DBC
130° = m∠ABD + 30°
m∠ABD = 130° - 30°
m∠ABD = 100°
Hence, the measure of the angle m∠ABD is 100°.
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state the law of logic represented: If you play baseball, then you play a sport. If you play a sport, then you are an athlete. You play baseball, so you are an athlete. a. law of syllogism b. law of detachment c. neither fast please :)
Answer:
c
Step-by-step explanation:
Answer:
The law of syllogism applies to this scenario because the law of syllogism states that if a=b and b=c, then a=c. A is playing baseball. B is playing a sport. C is being an athlete.
Step-by-step explanation:
Give the domain and range of G.
Write your answers using set notation.
Domain of function = {-3 , -4}
Range of function = {4 , -1 , -4}
What is domain and range of a function?The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x). The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an x value in.
Given,
points on graph of a function are
(-3 , 4) , (-3 , -1) , (-4 , -4)
Range is set of y-values,
Range = {4 , -1 , -4}
Domain is set of x - values
Domain = {-3 , -4}
Hence, Domain and range of function are {-3 , -4} and {4 , -1, -4} respectively.
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Solve the equation or inequality 3(14+x) =57 for the unknown number. Show your work.
Answer:
x = 5
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Equality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityStep-by-step explanation:
Step 1: Define
3(14 + x) = 57
Step 2: Solve for x
[Distributive Property] Distribute 3: 42 + 3x = 57[Subtraction Property of Equality] Subtract 42 on both sides: 3x = 15[Division Property of Equality] Divide 3 on both sides: x = 5Answer:
x=5
Step-by-step explanation:
First multiply 3(14+x) = 42 + 3x
Now you have the equation 42 + 3x =57
Then subtract 42 from both sides
The equation would be 3x = 15
Divide 3 from each side to get the x value
15/3=5
So therefore your answer would be x = 5
Hope this helps!
In the expression 3x - 4y + z, what is the
coefficient of z?
Answer:
1
Step-by-step explanation:
The coefficient is the number in front of a variable. There is a hidden coefficient of 1 in front of z. The reason it is not shown is because any number multiplied by 1 is just that number so showing the 1 is redundant.
The coefficient of z in the expression 3x- 4y +z is 1.
What is expression?A mathematical operation such as subtraction, addition, multiplication, or division is used to combine terms into an expression. In a mathematical expression, the following terms are used:
An absolute numerical number is referred to as a constant.Variable: A symbol without a set value is referred to as a variable.Term: A term can be made up of a single constant, a single variable, or a mix of variables and constants multiplied or divided.Coefficient: In an expression, a coefficient is a number that is multiplied by a variable.Given:
3x - 4y + z
As, we know a coefficient is a number that is multiplied by a variable.
So, the coefficient of x is 3, coefficient of y is 4 and coefficient of z is 1.
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