The statement is true - Independent variables are beyond the experimenter's control.
The statement is true. Independent variables are those factors that cannot be manipulated by the experimenter. They are the variables that are naturally occurring and cannot be changed. For example, age, gender, or genetics are independent variables that are beyond the experimenter's control. In contrast, dependent variables are those variables that can be manipulated by the experimenter, such as the amount of light, the temperature, or the dosage of a drug. Understanding the difference between independent and dependent variables is crucial in designing and conducting experiments.
Independent variables are those variables that are beyond the control of the experimenter. They are naturally occurring factors that cannot be manipulated, whereas dependent variables are those that can be manipulated.
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what is the slope of the line that contains points (−3 −5) and (2 7)
Answer:
Step-by-step explanation:
To find the slope of a line when only given two points on that line, divide the difference in the y points by the difference in the x points.
slope = (-5 - 7)/(-3 - 2) = -12/-5 = 12/5
slope = (7 - -5)/(2 - -3) = 12/
What is the area?Please i need help
Answer:
65
Step-by-step explanation:
Base by High
then divided by 2
In a circle with radius 6, an angle intercepts an arc of length 32.1. Find the angle in
radians to the nearest 10th.
The angle of circle with radius 6, an angle intercepts an arc of length 32.1., to the nearest tenth, is approximately 5.4 radians.
To discover the attitude in radians, we use the formula:
θ = s / r
where θ represents the perspective in radians, s is the size of the intercepted arc, and r is the radius of the circle.
In this case, the radius of the circle is given as 6 units, and the size of the intercepted arc is 32.1 units.
In this case, the radius of the circle is 6, and the intercepted arc length is 32.1. Plugging these values into the formula.
By substituting these values into the formula, we get:
θ = 32.1 / 6
Evaluating this expression, we discover that θ is about 5.35 radians.
However, considering that the query asks us to supply the reply to the nearest tenth, we spherical the cost of θ to one decimal place.
As 5.35 is nearer to 5.4 than 5.3, we spherical it up.
Therefore, the angle, to the nearest tenth, is about 5.4 radians.
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for a binomial distribution, the mean is 4.0 and n = 8. what is π for this distribution?
The value of π for this binomial distribution is not given and needs to be calculated.
how to calculate π, we need to know that π represents the probability of success for each trial in a binomial distribution. We can use the formula μ = nπ, where μ is the mean and n is the number of trials, to solve for π.
we are given that the mean is 4.0 and n = 8. Substituting these values into the formula, we get 4.0 = 8π, which simplifies to π = 0.5. Therefore, the probability of success for each trial in this binomial distribution is 0.5.
To find π for a binomial distribution, we need to use the formula μ = nπ and solve for π by substituting the given values. In this case, the value of π is 0.5, which means the probability of success for each trial is 0.5.
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Find the measures of
Answer:
Step-by-step explanation:
Measure of an inscribed angle intercepted by an arc is half of the measure of the arc.
From the picture attached,
m(∠A) = \(\frac{1}{2}m(\text{arc BD})\)
= \(\frac{1}{2}[m(\text{BC})+m(\text{CD}]\)
= \(\frac{1}{2}[55^{\circ}+145^{\circ}]\)
= 100°
m(∠C) = \(\frac{1}{2}[(360^{\circ})-m(\text{arc BCD})]\)
= \(\frac{1}{2}(360^{\circ}-200^{\circ})\)
= 80°
m(∠B) + m(∠D) = 180° [ABCD is cyclic quadrilateral]
115° + m(∠D) = 180°
m(∠D) = 65°
m(arc AC) = 2[m(∠D)]
m(arc AB) + m(arc BC) = 2(65°) [Since, m(arc AC) = m(arc AB) + m(arc BC)]
m(arc AB) + 55° = 130°
m(arc AB) = 75°
m(arc ADC) = 2(m∠B)
m(arc AD) + m(arc DC) = 2(115°)
m(arc AD) + 145° = 230°
m(arc AD) = 85°
What is 5.9 × 103 in standard form?
Answer: 607 7
_
10
Step-by-step explanation:
find the value of x, if the slope of the line joining (4,3) and (x,5) is 2/3?
Answer:
Step-by-step explanation:
here,x1=4,y1=3,x2=x and y2=5
slope=2/3
use formula
slope=y2-y1/x2-x1
2/3=5-3/x-4
2/3=2/x-4(do cross multiplication)
2(x-4)=3*2
2x-8=6
2x=6+8
x=14/2
x=7
Daisy, Kyra, and Ana will share the cost to buy their teacher a present for
her birthday. The cost of the present for their teacher is $60.
Daisy will pay 40% of the cost.
Kyra will pay 0.35 of the cost
Ana will pay the remainder of the cost
How much will Daisy, Kyra, and Ana each pay?
PLEASE HELP ME ARRAGE THESE I WILL GIVE YOU THE BRAINLIEST!!!!!!!!!!!!
The average low temperatures in January are given for a few cities. Arrange the cities in increasing order of their temperatures. Littlefork -9°F Boston 22°F Barrow -19°F Topeka 20°F Chicago 18°F
Answer:
Step-by-step explanation:
-22 -20 -19 -9
I. GIVEN TRIANGLE POR, DETERMINE THE FOLLOWING.
please help me out with this
34
Step-by-step explanation:
122
This is a lengthy question ill go through all the formulas
This is a right triangle which means u can use pythagorean theorem to find QP
formula :
\(a^{2} +b^{2} =c^{2}\)
Note that \(c^{2}\) is always the hypotenuse(the hyp is always opposite to ninety degrees)
so lets substitute
=> \(a^{2} +17^{2} =28^{2}\)
=> \(a^{2} +289 =784\)
subtract 289 both sides
\(= > a^{2}=495\)
Now square root both
\(\sqrt{ a}^{2}=\sqrt{495}\)
==> \(3\sqrt{55}\) or 22.2 (answer)
But for the other three u have to use another formula any of sin, tan,cos while using For example angle Q and then use any and do inverse it will be very easy after u know all the formulas of Sin,cos, tan
SOHCAHTOA
^
Thats an acronym for the formula
Sin= Opposite/ hyp
Cos= Adjustent/Hyp
Tan= Opposite/Adjustent
Researchers at the Sports Science Laboratory at Washington State University are testing baseballs used in Major League Baseball (MLB). The number of home runs hit has increased dramatically the past couple years, leading some to claim the balls are "juiced", making home runs easier to hit. Researchers found balls used in recent years have less "drag"-air resistance. Suppose MLB wants a level of precision of E=z α/2
∗σ/(n) ∧
0.5 =0.3mph exit velocity. Find the sample size (in terms of dozens of balls) required to estimate the mean drag for a new baseball with 96% confidence, assuming a population standard deviation of σ=0.34. (round up to the nearest whole number) 6 dozen 1 dozen 2 dozen 3 dozen
The required sample size is 14 dozens of balls.
Given that MLB wants a level of precision of E = zα/2*σ/(n) ∧ 0.5 = 0.3 mph exit velocity.
The sample size required to estimate the mean drag for a new baseball with 96% confidence, assuming a population standard deviation of σ = 0.34 is to be found.
To find the sample size n, we can use the formula:
n = (zα/2*σ/E)²where zα/2 is the z-score, σ is the population standard deviation and E is the margin of error.
Here, we have zα/2 = 2.05 (from the standard normal table), σ = 0.34 and E = 0.3.
So, the sample size can be calculated asn = (2.05 × 0.34 / 0.3)²n = 26.42667 ≈ 27 dozen baseballs.
Hence, the sample size required is 27/2 = 13.5 dozens of baseballs, which when rounded up to the nearest whole number gives the answer as 14 dozens of balls.
Therefore, the required sample size is 14 dozens of balls.
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a1=-3 and an= an-1+7
Step-by-step explanation:
The answer is an = 7n - 10.
two fair coins are to be tossed once. for each head that results, one fair die is to be rolled. what is the probability that the sum of the die rolls is odd? (note that if no die is rolled, the sum is $0$.) (a) $\frac{3}{8}$ (b) $\frac{1}{2}$ (c) $\frac{43}{72}$ (d) $\frac{5}{8}$ (e) $\frac{2}{3}$
The probability that the sum of the die rolls is odd is 1, which is equivalent to 100% (option a.)
To find the probability that the sum of the die rolls is odd, we need to consider the possible outcomes of the coin tosses and die rolls.
There are four possible outcomes for the coin tosses: HH, HT, TH, and TT.
For each head (H) that results, one fair die is rolled. The sum of the die rolls will be odd if there is an odd number of dice rolled.
Let's analyze each outcome:
1. HH: In this case, both coins show heads, so two dice will be rolled. The sum of the dice can only be even (2, 4, or 6). Probability = 0.
2. HT: One coin shows heads and the other shows tails. One die will be rolled. The sum of the die can be odd (1, 3, or 5) or even (2, 4, or 6). Probability of odd sum = 1/2.
3. TH: Similar to the previous case, one die will be rolled, and the sum can be odd or even. Probability of odd sum = 1/2.
4. TT: Both coins show tails, so no dice are rolled, and the sum is 0. Probability of odd sum = 0.
Now, let's calculate the overall probability of an odd sum:
Probability of HT = 1/2
Probability of TH = 1/2
Total probability of an odd sum = Probability of HT + Probability of TH = 1/2 + 1/2 = 1.
Therefore, the probability that the sum of the die rolls is odd is 1, which is equivalent to 100%.
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Complete Question:
Two fair coins are to be tossed once. for each head that results, one fair die is to be rolled. what is the probability that the sum of the die rolls is odd? (note that if no die is rolled, the sum is 0.)
\((a) $1 \\\\(b) $\frac{1}{2}$ \\\\(c) $\frac{43}{72}$ \\\\(d) $\frac{5}{8}$ \\\\(e) $\frac{2}{3}$\)
Is rotating a congruence transformation?
Yes , rotating is a congruence transformation.
What is a congruence transformation?
A transformation that changes the position of the figure while not dynamical its size or form is termed a congruity transformation.
Main body:
A congruity transformation is that the movement or locating of a form specified it produces a form that is congruent to the initial.
Translations, reflections, and rotations are the three types of congruence transformations. That is, the pre-image and the image are always congruent.
Hence ,rotating is a congruence transformation.
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Adrianna is studying her audience. She chooses to appeal to her audience by speaking about work ethic. What does work ethic represent
Work ethic represents the set of values, principles, and attitudes that individuals possess regarding their work responsibilities and the effort they put into their tasks and goals.
Work ethic encompasses a range of qualities and behaviors that individuals exhibit in their professional lives. It reflects their commitment, dedication, and integrity towards their work and the standards they uphold. A strong work ethic involves traits such as punctuality, reliability, perseverance, accountability, and professionalism.
When Adrianna chooses to speak about work ethic, she is appealing to her audience's sense of responsibility and the importance of hard work. By addressing this topic, she is likely emphasizing the significance of qualities like discipline, motivation, and self-motivation, which can contribute to personal and professional success.
Furthermore, discussing work ethic can inspire individuals to take ownership of their work, demonstrating a willingness to go the extra mile, exceed expectations, and deliver high-quality results. It also highlights the importance of maintaining a positive attitude, being adaptable to challenges, and continuously striving for improvement.
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Doing some review on PEMDAS. I just need help to know if I am on the right track with this problem.
Answer:
The order in which you evaluated the expression was a bit incorrect but the outcome either way was 78. In some cases if you evaluate the expression incorrectly or not in order will result in you getting the wrong answer. If you want to see how to evaluate it correctly just look below.
Step-by-step explanation:
PEMDAS stands for
Parenthesis
Exponents
Multiplication and Division ( left to right )
Addition and Subtraction ( left to right )
And it basically tells us the order in which you are suppose to evaluate a mathematical expression.
It appears the expression you are given is 4² + ( 1 × 5 + 7² ) + 8
First we would do the operation inside of the parenthesis
so we have ( 1 × 5 + 7² )
Exponents come before multiplying and addition so first evaluate the exponent, 7² = 49
we now have ( 1 × 5 + 49 )
we next do the multiplication
( 5 + 49 )
Finally we do the addition
5 + 49 = 54.
We then replace the expression ( 1 × 5 + 7² ) with 54 as we just evaluated everything in the parenthesis
we get 4² + 54 + 8
So we just did the parenthesis and next is exponents so lets evaluate the exponents, 4² = 16
16 + 54 + 8
Next in PEMDAS is multiplication and division. There is none so we go to the next step.
We now do the addition and subtraction. ( going left to right )
16 + 54 + 8
first add 16 and 54
70 + 8
finally add 70 and 8
= 78
Notes:
For parenthesis you evaluate everything inside of the parenthesis before you remove the parenthesis
For multiplcation and division, you must evaluate in order going left to right, not doing so can result in a wrong answer.
Find the measure of the indicated angle to the nearest degree.
7
9
12
?
49⁰
O53⁰
41°
37⁰
Answer:
\(41^{\circ}\)
Step-by-step explanation:
\(~~~~~~\cos \theta = \dfrac{\text{Base}}{\text{Hypotenuse}}\\\\\\\implies \cos \theta = \dfrac{9}{12}\\\\\\\implies \theta = \cos^{-1} \left( \dfrac 9{12} \right)\\\\\\\implies \theta \approx 41^{\circ}\)
Answer:
41°
Step-by-step explanation:
Since the adjacent side and the hypotenuse are given, let's take the cosine ratio of the missing angle.
cos θ = adjacent side / hypotenuse
===========================================================
Given :
⇒ Adjacent side = 9
⇒ Hypotenuse = 12
===========================================================
Solving :
⇒ cos θ = 9/12
⇒ cos θ = 0.75
⇒ θ = cos⁻¹ (0.75)
⇒ θ = 41.4096221....
⇒ θ = 41° (to the nearest degree)
needing help with this problem
Answer:
The answer is x+6
Step-by-step explanation:
The Y intercept from the translated unit and the one before are 6 units apart
1. Differentiate the function f(x) = ln (81 sin^2 (x)) f’(x) 2. Differentiate the function P(t) = in ( √t2 + 9) p' (t) 3. if x2 + y2 + z2 = 9, dx/dt = B, and dy/dt = 4, find dz/dt when (x,y,z) = (2,2,1)
dz/dt =
First you will get 4dz
3 = b + 12
I need work and answer
Answer:
b= -9
Step-by-step explanation:
Plug in -9 for b.
3= -9+12
Solve.
3=3
Since both sides are equal, the answer is -9
I hope this helped you ;)
compute δy and dy for the given values of x and dx = δx. y = x2 − 4x, x = 3, δx = 0.5
By using the power rule of differentiation, the values of δy and dy are both 1.
The given function is y = x² - 4x.
We have x = 3 and δx = 0.5.δy can be computed using the following formula;
δy = f'(x)δx
Where f'(x) represents the derivative of the function evaluated at x.
First, let us find the derivative of y using the power rule of differentiation.
dy/dx = d/dx(x²) - d/dx(4x) = 2x - 4
Therefore, f'(x) = 2x - 4δy = f'(x)
δxδy = (2x - 4)δx
Substitute x = 3 and δx = 0.5δy = (2(3) - 4)(0.5) = 1
Therefore, δy = 1.
Using the formula for differential;dy = f'(x)dx
We can find dy with the following steps:
Substitute x = 3 into f'(x)
f'(3) = 2(3) - 4 = 2
Substitute f'(3) and dx = δx = 0.5
dy = f'(3)
dx = 2(0.5) = 1
Therefore, dy = 1.
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Carrie missed 9.6% of the problems on a test. The test had a total of 125 problems. Which of the following is the best estimate of the number of problems Carrie missed?
The best estimate οf the number οf problems she missed is 12
What are number problems ?When sοlving a number prοblem, yοu are provided with hints about one or more numbers, and you must use these hints to create an equation. The Problem-Solving Strategy can be practised with number problems, which don't occur frequently but are a gοod starting point.
To find the best estimate οf the number of problems Carrie missed, we can start by calculating what 9.6% of 125 is:
9.6% οf 125 = 0.096 x 125 = 12
This means that Carrie missed apprοximately 12 problems on the test. Therefore, the best estimate of the number of problems she missed is 12.
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Complete Questiοn:
Carrie missed 9.6% οf the problems on a test. The test had a total of 125 problems. Which of the following is the best estimate of the number of problems Carrie missed? F 123 G 13 H2 3 113 OPEN ENDED QUESTION This is a proportion question: What numbers would you fill into the ratios? 6 d a= b= C= ulube d='
I'm confused on if it's 3 or 2
Answer:
it's 3 cause if u do 1 2 3 there are 3 hearts and they are broke up in half so 6
rationalise the denominator
\( 1\div 7 + 3 \sqrt{2} \)
The final answer is (1 + 21√2)/(21√2). The process of rationalization involves changing the form of an expression to eliminate radicals from its Denominator, or to eliminate denominators from a radical expression.
To rationalize the denominator 1/7 + 3√2,
A rational number is a number that can be expressed as a ratio of two integers, with the denominator not equal to zero. The fraction 4/5, for example, is a rational number since it can be expressed as 4 divided by 5.
Step-by-Step SolutionTo rationalizes the denominator 1/7 + 3√2, we'll need to follow these steps.
Step 1: First, we need to create a common denominator for the two terms. The common denominator is 7. Thus, we can convert the expression to the following form:(1/7) + (3√2 × 7)/(7 × 3√2).
Step 2: Simplify the denominator to 7. (1/7) + (21√2)/(21 × 3√2).
Step 3: The numerator and denominator can now be simplified. (1 + 21√2)/(7 × 3√2).Step 4: Simplify further. (1 + 21√2)/(21√2).We have successfully rationalized the denominator!
The final answer is (1 + 21√2)/(21√2).
The final answer is (1 + 21√2)/(21√2). The process of rationalization involves changing the form of an expression to eliminate radicals from its denominator, or to eliminate denominators from a radical expression.
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Help with this ASP I’ll give best awards for revision I’m stuck
It’s substitution
Answer:
P= 3w + D; d=p−3
I will solve the second part rn
Plz answer. I’m in a hurry thx.
Answer:
A or D
Step-by-step explanation:
I saw your previous post and saw all of the list and compared it!
I don't think you will type it out in numbers without square root, so that will leave with an option of A,D,E.
I think A is too less, so maybe D?
well which is possible?
A or D
A ___ is a mathematical expression consisting of constants and variables, combined with the operations of addition and multiplication.
A polynomial expression is a mathematical expression consisting of constants and variables, combined with the operations of addition and multiplication.
A polynomial expression is of the form:-
\(ax^{2}+bx+c\)
Here, it consists of variable x, constants a, b and c and operations + and *.
Hence, it is a polynomial expression.
This particular polynomial expression is a quadratic expression.
Other examples of polynomial expressions are :-
5x + 3, \(4x^{3}+3x^{2}}+2x+1\) ,2x + 3y = 4 and so on.
A general polynomial expression can be written as:-
\(a_{n}x^{n}+a_{n-1}x^{n-1}+a_{n-2}x^{n-2} + ......+ a_{1}x^{1}+a_{0}\)
It has (n + 1) terms, with variable x, (n + 1) constants and operations + and *.
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Using the diagram below, what is the measure of ZE?
A. 130°
B. 50°
C. 65°
D. 25°
Given: 1. ACAB-ACED
2. AB ED
1 mile = 5280 ft
The measure of angle E is (b) 50°
How to determine the angle measure?The given parameters are:
ΔCAB is similar to ΔCEDAB and ED are parallelThe similarity of the triangles implies that:
angle C = angle Cangle A = angle Eangle B = angle DFrom the figure, we have:
angle A = 50
Substitute angle A = 50 in angle A = angle E
angle E = 50
Hence, the measure of angle E is (b) 50°
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Which of the following is a counterexample for this conditional statement?
If the sum of two integers is even, then those integers are both even.
A. 5 and 7
B. 9 and 2
C. 7 and 4
D. 2 and 4
Answer:
5 and 7
Step-by-step explanation:
The sum is even aka 12, however, both of the integers are not even.
please help ill mark brainliest to who ever has the best answer!
6-(-1) tysm!
Answer:
See below.
Step-by-step explanation:
When there is a double negative, it converts the operation into an addition sign.
6--1 is actually 6+1, which is 7.
-hope it helps
Answer:
7.Step-by-step explanation:
In case you were wondering, a double negative is an addition problem.
In this case:
6 - (-1)= 6 + 1= 7.