In this context, the slope of the line of best fit, represented by the equation y = 1.25x + 7, represents the relationship between the age of an infant (in months) and its weight (in pounds) and the independent variable, x, represents the age of the infant in months, and the dependent variable, y, represents the weight of the infant in pounds.
The slope of the line, 1.25, indicates the rate at which the infant's weight changes with respect to its age. Specifically, it shows that for each additional month of age, the infant's weight is expected to increase by 1.25 pounds. This means that, on average, an infant gains 1.25 pounds per month.
In conclusion, the slope (1.25) in this context represents the average weight gain per month for an infant, based on the data collected by the doctor. It helps to understand the general association between an infant's age and its weight, and can be useful in predicting an infant's weight at a given age. However, it's important to remember that this is an average value and individual infants may have different weight gain patterns.
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researchers find that pet owners live longer, healthier lives. within this study, pet ownership is the select one: a. independent variable. b. dependent variable. c. spurious variable. d. operational variable.
The answer is option A, pet ownership is the independent variable.
In experimental research, an independent variable is the variable that is manipulated by the researcher to determine its effect on the dependent variable. In this case, the independent variable is pet ownership, which is being studied to determine its effect on the health and lifespan of pet owners.
The dependent variable, in turn, is the health and lifespan of pet owners, which is expected to be influenced by their pet ownership status.
It is important to note that the relationship between pet ownership and health/lifespan could be influenced by other factors, such as age, income, or lifestyle. These other factors are known as spurious variables and can confound the relationship between the independent and dependent variables.
Operational variables, on the other hand, refer to how the researcher measures or manipulates the independent and dependent variables.
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Complete the two column proof given: c is the midpoint of ae c is the midpoint of bd ae is congruent to bd prove: ac is congruent to cd help me please :))))))
AC is congruent to CD according to the definition of a midpoint.
The objective is to prove AC is congruent to CD.
It is given that C is the midpoint of AE
Hence, AC = EC by the definition of a midpoint. That is, the midpoint of a line divides the line into two halves.
Similarly, BC = DC since C is the midpoint of BD.
It is given that AE is congruent to BD.
AE ≅ BD
Divide both lines by 2.
Hence, AE ÷ 2 ≅ BD ÷ 2
AE ÷ 2 = AC or EC
and, BD ÷ 2 = BC or DC
That is, AC = DC
Hence, it is proved that AC ≅ CD
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simplify the expression
-7(3e-2f+4)+6e-2
Answer: here it is 14f-30-15e
Can some body please help me whit this question?
8 - (7/10)t = 6 - (1/5)t Thx
Answer:
8-(7/10)t=6-(1/5)t - Get Easy Solution
Simple and best practice solution for 8-(7/10)t= 6-(1/5)t equation. Check how easy it is, and learn it for the future. Our solution is simple,
Step-by-step explanation:
make me as brain liest
17. Write the slope-intercept form of the equation of the line though the given point with the given slope.
18.Find the slope of a line perpendicular to each given line.
Show work please
Answer:
y = - x +2
Step-by-step explanation:
Slope = -1
Point: (-3,5)
b = 5 - (- 1)(- 3)
= 5 - 3 = 2
bc+5a if a=3 b=4 c=-6
Answer:
-9
Step-by-step explanation:
bc+5a if a=3 b=4 c=-6
4(-6)+5(3)
-24+15
-9
I need help with this
Question:
Identify which expression is correct.
Solution:
By cross-multiplication notice that:
\(\frac{5}{7}\div\text{ }\frac{3}{7}=\text{ }\frac{5\text{ x 7}}{3\text{ x 7}}=\text{ }\frac{5}{3}\text{ x }\frac{7}{7}\text{ = }\frac{5}{3}\text{ x 1 = }\frac{5}{3}\text{ }\)then, the correct answer is :
\(\frac{5}{7}\div\text{ }\frac{3}{7}\text{ = }\frac{5}{3}\text{ }\)emma wants to know if long distance relationships in college have a greater likelihood of ending than relationships that are not long distance. she creates a questionnaire and recruits 100 students from her school to complete the questionnaire so she can test her hypothesis. emma is:
Emma is asking an empirical question so that she she can test her hypothesis
What is a Empirical hypothesis?
Something empirical is something based on real evidence .
Evidence that is verifiable by observation as opposed to something that is true in theory or by some kind of reckoning or logic
A hypothesis is a theory that is put forward for further examination to see if it is correct. It is not a call but it is an explanation that fits the available evidence so , An empirical hypothesis is a theory that is based on real evidence and experience but that has not been proven yet
So, According to the question
Emma wants to know if long distance relationship in college have a greater likelihood of ending than a relationship that are not long distance and for that she creates a questionnaire and the crowds 100 student from our school to complete the questionnaire so she can test her hypothesis
Here, Emma is asking an empirical questions ( question about experience) and will conclude the test based on these 100 students experience and thoughts.
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Which approach to probability is exemplified by the following formula? Probability of an Event= Number of favourable Outcomes /Total number of possible outcome A) Classical approach B) Empirical approach C) Subjective approach D) None of the above
The approach to probability exemplified by the formula Probability of an Event = Number of favourable Outcomes / Total number of possible outcomes is the Classical approach to probability.
The Classical approach to probability is based on the assumption of equally likely outcomes and is often used when dealing with simple and well-defined experiments or situations. It involves counting the number of favorable outcomes (those that satisfy the desired condition) and dividing it by the total number of possible outcomes. This approach assumes that all outcomes have an equal chance of occurring.
In contrast, the Empirical approach involves conducting experiments or observations to gather data and estimate probabilities based on the observed frequencies. The Subjective approach relies on personal judgments or subjective assessments of probabilities based on individual beliefs or opinions.
Therefore, the correct answer is A) Classical approach.
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15x - 5y = 30. solve for y
(please help!!)
Move all terms that don't contain \(y\) to the right side and solve.
Answer:\(y=6-3x\)Write and solve each equation.
1. Pedro opened his account with $710 and withdrew $35 per week. Maria opened her account with
$570 and withdrew $25 weekly. In how many weeks will their accounts be equal.
2. The Magic Carpet charges $90 for installation and $9 per square yard of carpeting. The Carpeteria’s
installation price is $50 but the store charges $13 for each square yard. For what number of square
yards of carpeting will the cost, including installation, be the same for both stores?
3. Prestige Car Rentals charges $44 per day plus 6¢ per mile to rent a mid-sized vehicle. Gateway Auto
charges $35 per day plus 9¢ per mile for the same car. For what number of miles will both companies
charge the same price?
4. Nilda has $250 in her savings account. She plans to save $15 per week from her salary. Iona has only
$200 in her account but can save $20 a week from her paycheck. How many weeks will it take before
the amount in each savings account is the same?
5. A sales person in a stereo store is given a choice of two different compensation plans. One plan offers
a weekly salary of $250 plus a commission of $25 for each stereo sold. The other plan offers no
salary but pays $50 commission on each stereo sold. How many stereos must the sales person sell to
make the same amount of money under both plans.
Answer:
223
Step-by-step explanation:
Make q the subject and give the answer in (ap-b)/c where abc are all positive integers
Answer:
\(q = \frac{2p - 1}{3} \)
function or not a function
Answer:
Not a function.Step-by-step explanation:
Functions have graphs or slopes.
This is not a function.
This is not on a graph or on a slope.
Your answer is not a function.
b/30 = 2.6/1.5 solve the proportion Help PLEASE!!
Answer:
\(b = 52.000000\)
Step-by-step explanation:
1) Simplify 2.6/1.5 to 1.733333.
\( \frac{b}{30} = 1.733333\)
2) Multiply both sides by 30.
\(b = 1.733333 \times 30\)
3) Simplify 1.33333 × 30 to 52.000000.
\(b = 52.000000\)
Therefor, the answer is b = 52.000000.
first to respond will get brainliest
Deondra surveyed 240 of the students in her school about their favorite color.
Students could choose between purple and blue. 15% said their favorite color was
blue. How many students' favorite color was purple?
Answer:
the answer is 180 students.
Step-by-step explanation:
I got this by subtracting 15 by 100 and got 75. This means 75% chose purple. Then you take 75% of 240 and that's your answer
Answer:
204
Step-by-step explanation:
ok
An inclined plane makes an angle of theta with the horizontal.
What is the equation of a parabola that intersects the x-axis at points (-1, 0) and (3,0)?
The equation of the parabola that intersects the x-axis at points (-1, 0) and (3,0) is y = 0.
Given that a parabola intersects the x-axis at points (-1, 0) and (3,0).We know that, when a parabola intersects the x-axis, the y-coordinate of the point on the parabola is 0. Therefore, the two x-intercepts tell us two points that are on the parabola.Thus the vertex is given by:Vertex is the midpoint of these x-intercepts=(x_1+x_2)/2=(-1+3)/2=1The vertex is the point (1,0).Since the vertex is at (1,0) and the parabola intersects the x-axis at (-1,0) and (3,0), the axis of symmetry is the vertical line passing through the vertex, which is x=1.We also know that the parabola opens upwards because it intersects the x-axis at two points.To find the equation of the parabola, we can use the vertex form:y = a(x - h)^2 + kwhere (h, k) is the vertex and a is a constant that determines how quickly the parabola opens up or down.We have h=1 and k=0.Substituting in the x and y values of one of the x-intercepts, we get:0 = a(-1 - 1)^2 + 0Simplifying, we get:4a = 0a = 0Substituting in the x and y values of the other x-intercept, we get:0 = a(3 - 1)^2 + 0Simplifying, we get:4a = 0a = 0Since a = 0, the equation of the parabola is:y = 0(x - 1)^2 + 0Simplifying, we get:y = 0Hence the equation of the parabola that intersects the x-axis at points (-1, 0) and (3,0) is y = 0.
Learn more about Parabola here,The vertex of a parabola is (-2,6), and its focus is (-5,6).
What is the standard form of the parabola?
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which of the following is a duplex fiber optic connection
The LC connector is a duplex fiber-optic connection.
The duplex fiber-optic connection among the options provided is the LC connector. The LC connector is a small form-factor connector commonly used in fiber-optic networks. It features a push-pull design and is used for both single-mode and multimode fibers. The LC connector allows for duplex connections, meaning it supports bidirectional communication over a single fiber by utilizing separate transmit and receive channels. The other options mentioned, RJ-45, ST, and SC connectors, are not specifically designed for duplex fiber-optic connections. RJ-45 is commonly used for Ethernet connections, while ST and SC connectors are more commonly used for simplex (single-direction) fiber-optic connections.
Complete Question:
Which of the following is a duplex fiber-optic connection?
RJ-45
LC
ST
SC
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A park ranger at point A observes a fire in the direction N 25°36'E. Another ranger at point B, 5 miles due east of A, sites the same fire at N 56°19'W. Determine the distance from point B to the fire. Round answer to two decimal places.
The distance from point B to the fire is 22.99 miles.
The sine rule is a mathematical formula used in trigonometry that relates the lengths of the sides of a triangle to the sines of its angles.
A park ranger at point A observes a fire in the direction N 25°36'E.
Another ranger at point B, 5 miles due east of A, sites the same fire at N 56°19'W.
We first find the internal angle.
The internal angles are:
A = 90° - 25°36'
A = 64°24'
B = 90° - 56°19'
B = 33°41'
C = 180° - 64°24' - 33°41'
C = 180° - 98°05'
C = 81°55'
Using the sine rule
a/SinA = b/SinB = c/SinC
a = c/SinC · SinA
a = 5/Sin81°55' · Sin64°24'
a = 5/0.99002 × 0.90183
a = 5.0504 × 4.554
a = 22.99
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How many gallons per day is 32 ounces per day?
Answer: 4096
Step-by-step explanation: 1 gallon=128 ounces, 128x32=4096
Combine like terms: 3a + 4a + 9
Answer:
7a + 9
Step-by-step explanation:
just combine like terms lol
(hope this helps)
Answer:
7a + 9
Step-by-step explanation:
3a + 4a = 7a
so...
+9
soo....
7a + 9
its actually easy
Evaluate.
54
20
625
1024
3125
Answer:
Short and simple: 625
Question 8 (Multiple Choice Worth 5 points)
(02.02 MC)
Which of the following numbers can be expressed as a decimal that terminates?
3/2
2/3
3/4
5/7
3/2 and 2/3
3/4 and 5/7
3/2 and 3/4
2/3 and 5/7
Please hurry I will give Brainlyist thing
Rewrite the fractions as decimals:
3/2 = 1.5 ( this terminates)
2/3 = 0.666…. (this does not terminate)
3/4 = 0.75 ( this terminates)
5/7 = 0.71428…. ( this does not terminate)
answer: 3/2 and 3/4
Ratios compare values, and proportions compare ratios.
True
False
The answer is True.
Proportions are a comparison of two ratios, and ratios are a comparison of two quantities, so your answer is true.
Simplify the expression. Write your answers using integers or improper fractions.
− 3/2(1/2 n+2n−3)+4n
The expression is simplified to n - 16/ 4
What are algebraic expressions?
Algebraic expressions are expressions comprising of terms, variables, factors, constants and coefficients.
They are also made up of mathematical operations such as addition, subtraction, multiplication, division, bracket, etc.
Given the expression;
− 3/2(1/2 n+2n−3)+4n
Solve the variables in the bracket, we have;
- 3/ 2 { n + 4n - 6 / 2} + 4n
-3/2 { 5n - 6/ 2 } + 4n
expand the bracket
- 15n - 18/ 4 + 4n
Fin the LCM
-15n - 16 + 16n /4
n - 16/ 4
Thus, the expression is simplified to n - 16/ 4
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Solve the system of equations given by elimination:
{y = -x + 1
{y = 4x – 14
A. (-3, 2)
B. (-3,-2)
C. (3,2)
D. (3,-2)
Answer:
y= -x+1
y=4x_14
solution
-x+1=4x-14
-x-4x= -14-1
-5x= -15
-5x/-5= -15/-5
x=3
while y=4x-14
y=4(3)-14
y=12-14
y= -2
Your kite is stuck in a tree that is 45 feet tall. The angle your string makes with the ground is 68º. Rather than worrying about the kite, you decide to calculate how much string you have let out. Assuming the string is held tight and makes a straight line to the ground, how much string have you let out?
48.5 feet
1) Sketching this we have:
2) As the point here is how much string was left out, then let's use a trigonometric ratio to find out that hypotenuse since height is always perpendicular (90º with the ground).
\(\begin{gathered} \sin (68)=\frac{opposite}{\text{hypotenuse}}=\frac{45}{x} \\ \sin (68)=\frac{45}{x} \\ x\sin (68)=45 \\ \frac{x\sin(68)}{\sin(68)}=\frac{45}{\sin (68)} \\ x=48.53\approx48.5 \end{gathered}\)3) Hence, that kite's string is 48.5 feet long
Solve for x.. 3(x-8) = 29.7
Answer:
x = 17.9
Step-by-step explanation:
\(3x-24=29.7\\ Distribution Property\\\\3x=53.7\\\\Adding 24 to both sides\\\\x=17.9\\Divide by 3 to both sides\\\\Hope this helps:)\\\)
\(\text {Hello! Let's Solve this Equation!}\)
\(\text {The First Step is to Multiply 3 in the Parentheses:}\)
\(\text {3*x=3x}\\\text {3*8=24}\)
\(\text {Your new Problem is: 3x-24=29.7}\)
\(\text {The Next Step is to Add 24:}\)
\(\text {3x-24+24=29.7+24}\\\text {=53.7}\)
\(\text {Your new Problem is: 3x=53.7}\)
\(\text {The Final Step is to Divide 3:}\)
\(\text {3x/3=53.7/3}\)
\(\text {Your Answer would be:}\)
\(\fbox {x=17.9}\)
\(\text {Best of Luck!}\)
What is the solution to the system of equations graphed below? y=-3/2x+2 y = 5x + 28 A. (4,8) B. (0.2) C. (-8,4) D. (-4.8)
Answer:
(-4, 8)
Step-by-step explanation:
y = -1.5x + 2
y = 5x + 28
y + 1.5x = 2
y - 5x = 28
6.5x = -26
x = -4
y = 5(-4) + 28
y = -20 + 28
y = 8