Given Dr. Sparrow's design, his study is best able to overcome the issue of causality, as well as the issue of some potential third variables.
By using a multivariate design, Dr. Sparrow is able to examine the relationships between multiple variables simultaneously, which can help to identify the potential influence of each variable on the outcome of interest (marital satisfaction in this case). This can help to establish a causal link between the variables if one is present, as it allows for the examination of multiple variables at the same time, rather than just two variables as in a simple bivariate design.
Additionally, by controlling for other potential confounding variables, Dr. Sparrow is able to account for the potential influence of these variables on the relationship between income and marital satisfaction, which helps to establish a more robust understanding of the potential causal link between these two variables.
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The table shows the distribution, by age and gender, of the 31.6 million people who live alone in a certain region. Use the data in the table to find the probability that a randomly selected person living alone in the region is in the 25-34 age range.
The probability is ___.
(Type an integer or decimal rounded to the nearest hundredth as needed.)
Answer:
0.1487
Step-by-step explanation:
From the table :
The total number of people living alone in the region = 31.6
The number of people living in the region who fall with the 25 - 34 age range is 4.7
Probability, P = required outcome / Total possible outcomes
P(range 25 - 34) = (number of people who fall within the 25 - 34 age range) / total population
P(range 25 - 34) = 4.7 / 31.6 = 0.1487
2x-1=y
3x-1=y
Consider the system of equations above. Which of the following statements about this system is true?
Answer:
B; There is only one (x,y) solution and y is negative
Step-by-step explanation:
First, I graphed the two equations. Attached is an image of the equations graphed. Next, I looked for overlapping points. Wherever the two points overlap, there is a solution. When looking at the graph, we can see the lines overlap at only one point, (0,-1). Since y is negative, the answer must be B; there is only one (x,y) solution and y is negative.
If this answer helped you, please leave a thanks!
Have a GREAT day!!!
Solve the system by graphing 3x+y=4 and x-y=4
Which equation is equivalent to the equation 7y + 6 = 34?
Answer:
y = 4
Step-by-step explanation:
You are solving for the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
PEMDAS is the order of operation and stands for:
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction.
Isolate the variable, y. First, subtract 6 from both sides of the equation:
7y + 6 (-6) = 34 (-6)
7y = 34 - 6
7y = 28
Next, divide 7 from both sides:
(7y)/7 = (28)/7
y = 28/7 = 4
y= 4 is one of the equivalent equations that can answer this question.
~
Look at the image below
Answer:
subtotal 9.76
Step-by-step explanation:
i can tell the last 2
hope this helps
pls mark brainliest
The depth of a local lake averages 38 ft, which is represented as |−38|. In February, it measured 6 ft deep, or |−6|, and in July, it was 25 ft deep, or |−25|. What is the difference between the depths in February and July?
A32 feet
B 31 feet
C 19 feet
D 13 feet
The difference between the depths in February and July is 31 feet.
How to measure depth?The method of measuring depth depends on what we are trying to measure the depth of. Here are some general methods for measuring different types of depth:
Depth of water: The depth of water can be measured using a sounding device such as a sonar or a simple depth gauge. A sonar uses sound waves to determine the distance from the water's surface to the bottom. A depth gauge is a simple device that measures the distance from the surface of the water to the bottom using a weight and a line.
Depth of a hole: The depth of a hole can be measured using a tape measure or a ruler. Simply insert the measuring device into the hole and measure the distance from the top of the hole to the bottom.
Depth of a trench: The depth of a trench can be measured using a measuring tape or a surveyor's level. Place the measuring device at the edge of the trench and measure the distance from the top of the trench to the bottom.
Depth of a pool: The depth of a pool can be measured using a pool depth marker or by using a measuring tape. A depth marker is usually located on the side of the pool and indicates the depth at various points. Alternatively, you can use a measuring tape to measure the distance from the surface of the water to the bottom of the pool.
Depth of a well: The depth of a well can be measured using a well sounder or a tape measure. A well sounder is a device that sends a signal down the well and measures the time it takes for the signal to bounce back. The time it takes is then used to calculate the depth of the well. Alternatively, a tape measure can be used to measure the distance from the surface of the water to the bottom.
Given, In February, it measured 6 ft deep, or |−6| and in July, it was 25 ft deep, or |−25|.
The difference between the depths in February and July is:
|−6| − |−25| = 6 − (−25) = 6 + 25 = 31
Therefore, the correct choice is B) 31 feet.
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Compute the sum of all nine 2-digit numbers with a ones digit of 6.
can find anything to answer this
Answer:
where?
Step-by-step explanation:
maybe I can help to your question
Translate to an equation, then solve.
Nineteen less than eight times a number is equal to 11 more than six times the number. What is the number?
Answer:
Step-by-step explanation:
8x - 19 = 6x +11
2x - 19 = 11
2x = 30
x = 15
Answer:
c
Step-by-step explanation:
Question #3
Determine if the following scenario is best described as an observational study, survey, or experiment.
A researcher wants to determine the effects of eating a vegan diet on overall health. The researcher finds 200 individuals, where
of them have eaten vegan for the past five years and the other 100 have not eaten vegan for the past five years. The participants
each given a health assessment and the data is analyzed in order to draw conclusions about how eating vegan can affect one's
overall health.
Experimental Study
Observational study
Saved Survey
The type of sytudy that we have here is the observational study.
What is the observational study?
In an observational study, the researcher observes and analyzes data from individuals without actively intervening or manipulating any variables.
In this case, the researcher is observing and comparing the health outcomes of two groups of individuals: those who have eaten a vegan diet for the past five years and those who have not.
The participants are not randomly assigned to the groups, and the researcher does not actively control or manipulate the diet of the individuals.
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For F(x)=x^2+8 and g(x)=x^2-8 , find
( f o g) (x)
(g o f) (x),
(f o g)(2)
thanks!!
The final answer is (f o g)(x) = x^4 - 16x^2 + 72
(g o f)(x) = x^4 + 16x^2 + 56
(f o g)(2) = 24
To find the composite functions (f o g)(x) and (g o f)(x), we need to substitute one function into the other.
(f o g)(x):
To find (f o g)(x), we substitute g(x) into f(x):
(f o g)(x) = f(g(x))
Let's substitute g(x) = x^2 - 8 into f(x) = x^2 + 8:
(f o g)(x) = f(g(x)) = f(x^2 - 8)
Now we replace x in f(x^2 - 8) with x^2 - 8:
(f o g)(x) = (x^2 - 8)^2 + 8
Simplifying further:
(f o g)(x) = x^4 - 16x^2 + 64 + 8
(f o g)(x) = x^4 - 16x^2 + 72
Therefore, (f o g)(x) = x^4 - 16x^2 + 72.
(g o f)(x):
To find (g o f)(x), we substitute f(x) into g(x):
(g o f)(x) = g(f(x))
Let's substitute f(x) = x^2 + 8 into g(x) = x^2 - 8:
(g o f)(x) = g(f(x)) = g(x^2 + 8)
Now we replace x in g(x^2 + 8) with x^2 + 8:
(g o f)(x) = (x^2 + 8)^2 - 8
Simplifying further:
(g o f)(x) = x^4 + 16x^2 + 64 - 8
(g o f)(x) = x^4 + 16x^2 + 56
Therefore, (g o f)(x) = x^4 + 16x^2 + 56.
(f o g)(2):
To find (f o g)(2), we substitute x = 2 into the expression (f o g)(x) = x^4 - 16x^2 + 72:
(f o g)(2) = 2^4 - 16(2)^2 + 72
(f o g)(2) = 16 - 64 + 72
(f o g)(2) = 24
Therefore, (f o g)(2) = 24.
In summary:
(f o g)(x) = x^4 - 16x^2 + 72
(g o f)(x) = x^4 + 16x^2 + 56
(f o g)(2) = 24
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SOMEONE HELP ME PLEASE!! 100 POINTS FOR ANSWER!!
I took a screenshot of my problem.
Answer:
B it originally cost 12000
Step-by-step explanation:
the depriciation factor is 0.75^t and the original value was 12000
Answer:
(2) The motorcycle cost $12,000 when purchased.
Step-by-step explanation:
\(V(t)=12000(0.75)^t\)
\(V(0)=12000(0.75)^0=12000\)
\(V(1)=12000(0.75)^1=9000\)
\(V(2)=12000(0.75)^2=6750\)
etc.
⇒ Initial cost = $12,000
⇒ The motorcycle's value is decreasing by 25% each year.
The box plots show the target heart rates of men 20-40 years old and men 50-70 years old.
Target Heart Rates of Men
20-40 years old
50-70 years old
Which statement is best supported by the information in the box plots?
A )
The range of the data for men 20-40 years old is less than the range of the data for men
50-70 years old.
B )
The median of the data for men 20-40 years old is less than the median of the data for
men 50-70 years old.
C )
The minimum target heart rate for men 20-40 years old is less than the minimum target
heart rate for men 50-70 years old.
D )
The interquartile range of the data for men 20-40 years old is greater than the
interquartile range of the data for men 50-70 years old.
Answer:
anong ka pong grade?
Step-by-step explanation:
matanong ko Lang!
Hundred Metal Spheres with a radius of 4cm each are melted. The melted solution is filled into a cube with a base area of 16cm x 10cm. Find the height of the cube filled with solution.
Answer:
Height = 167.47 cm
Step-by-step explanation:
volume of one sphere = 4/3πr³ = 4/3(3.14)(4³) = 267.9467 cm³
267.9467 cm³ x 100 spheres = 26794.67 cm³
volume of cube = L x W x H
26794.67 = 16 x 10 x H
H = 167.47 cm
16 x 0.2 please answer correct
Answer:
3.2
Step-by-step explanation:
Answer:
I believe it's 3.2!
write an equation of the line that passes through the points (0,-2),(3,13)
Answer: y = 5x-2
Step-by-step explanation:
Find m angle LKJif m angle LKD=60^ and m angle DKJ=55^
Answer:
<LKJ = 115°
Step-by-step explanation:
<LKJ = <LKD + <DKJ
<LKJ = 60°+55°
<LKJ = 115°
Answered by GAUTHMATH
Answer:
We're provided - m ∠ LKD = 60° , m ∠ DKJ = 55° and we're asked to find out m ∠ LKJ. Now , Look the figure more carefully , we can see that we can create an equation and solve for m ∠ LKJ.\( \large{ \tt{✺ \: m \: \angle \: LKJ= m \: \angle} \: LKD \: + \: m \: \angle \: dKJ}\)
\( \large{ \tt{⟶ \: m \: \angle \: LKJ= 60 \degree + 55 \degree}}\)
\( \large{ \boxed{ \tt{⟶ \: m \: \angle \: LKJ = 115 \degree}}}\)
Hence , Our final answer is 115° . Hope I helped! Let me know if you have any questions regarding my answer and also notify me , if you need any other help! :)▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
9. Hachi uses 2 tablespoons of peanut butter on each slice of toast she prepares. Let s represent the number of slices of toast, and let t represent the number of tablespoons of peanut butter she needs. Write an equation to represent this relationship, and use it to determine how many tablespoons of peanut butter she would need for 5 slices of toast.
The following vitamins, minerals, and nutrients are particularly notable in each 2-tablespoon (tbsp) portion of smooth peanut butter: Protein. Protein content per 2-tbsp portion of peanut butter is 7.02 grammes (g).
How much protein is in 2 spoons of peanut butter?Although peanut butter is high in protein, vitamins, and minerals, it may also be quite calorie-dense, salty, and high in unsaturated fat. Given that many commercial brands include sugar and oil additives, low-sugar homemade peanut butter can be a decent alternative.Nutrients included in peanuts and peanut butter could help people with their blood sugar levels and heart health.Depending on how peanut butter is incorporated into a person's diet, it may aid in weight loss or weight gain during bodybuilding or weightlifting.The high calorie and fat content of peanut butter, however, means that it should only be consumed in moderation.In this piece, we examine the advantages of consuming peanut butter and outline its hazards.The Complete Question.
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COMPLETE (4 + 5i)(4 - 5i) =
we use the distributive property and multiply by each term
\(undefined\)Just need to answer to this geometry question, Its a throw back for me.
As the triangles are similar to each other, using congruent theorem, we get the value of side JK = 63.8.
What are similar triangles?Comparable triangles are those that resemble one another but may not be precisely the same size. Comparable items are those that share the same shape but differ in size.
This shows that when shapes are amplified or demagnified, they superimpose one another. This feature of similar shapes is often known as "similarity".
As per the triangles,
Let JK be = x.
GF/GH = JI/JK
⇒ 11/18 = 36 /x
⇒ x = 36 × 18/11
⇒ x = 63.8.
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Trey has plastic cubes stored in a box that measures 4 ft long, 212ft wide, and 2 ft tall.
The edge length of each plastic cube is 12ft.
How many plastic cubes can fit into the box?
there are 160 plastic cubes that can fit into the box.
Step-by-step explanation:
brainlist plz
Answer:
27
Step-by-step explanation:
I took the same test
You run a local bakery. You know from experience that muffin sales can be represented by a normal distribution with mean 40 and standard deviation 6. Today you bake 34 muffins. What is the probability you run out of muffins today?
The is a probability of 15.87% that if you bake 34 muffins it would run out of today.
What is z scoreZ score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:
z = (x - μ) / σ
Where x = raw score, μ = mean and σ = standard deviation.
Given that σ = 6, μ = 40, hence:
For x = 34:
z = (34 - 40)/6 = -1
P(z < -1) = 0.1587
The is a probability of 15.87% that if you bake 34 muffins it would run out of today.
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PLEASE HURRY DUE TONIGHT
Mary is babysitting a 4-year-old. The little boy wants to play in the kiddie pool in the backyard. Mary knows that using the hose that is near the kiddie pool will take 30 minutes to fill up. The little boy has already asked 17 times if the pool is ready but she hasn't even turned on the water yet. Mary also knows that the hose from the front yard works faster and can fill the pool in 1/2 the time as the hose in the back yard. If she can use both hoses at the same time, how long will it take for the pool to fill up?
(PLEASE SHOW YOUR WORK)(I saw other people get 7.5 min and 75 min but those answers are incorrect.)
A. 5 minutes
B. 10 minutes
C. 22.5 minutes
Using both hoses will take 10 minutes to fill up the kiddie pool. Mary can fill up 1/3 of the pool using the front yard hose in 10 minutes and 1/6 of the pool using the backyard hose in 10 minutes.
To solve this problem, we need to use the concept of rates. Let's assume the rate of the hose in the backyard is x, so the rate of the hose in the front yard is 2x (because it is twice as fast as the other hose).
The combined rate of the two hoses is x + 2x = 3x, which means they can fill the pool in 30/3x = 10/x minutes.
We know that the area of the pool is 600 square feet and each small rock covers 20 square feet, so we need a total of 600/20 = 30 small rocks to cover the pool.
Since the mass of each rock is 20 grams, the total mass of all 30 rocks is 30 x 20 = 600 grams.
To find the density, we divide the total mass (600 grams) by the total volume of the rocks (30 x 20 cubic feet = 600 cubic feet)
Density = 600g / 600 cubic feet = 1g/cubic foot
Therefore, the answer is B. 10 minutes for the pool to fill up, and the density of the rocks is 1 gram per cubic foot.
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In 2015, the average distance from Earth to the moon was about 3.74 x 105 km. The distance from Earth to Mars was about 9.25 x 107 km. How much farther is traveling from Earth to Mars than from Earth to the moon? Write your answer in scientific notation.
Traveling from Earth to Mars is approximately 9.249626 x 10^7 km farther than traveling from Earth to the moon.
Earth to Mars is compared to traveling from Earth to the moon, we need to calculate the difference between the distances.
The distance from Earth to the moon is approximately 3.74 x 10^5 km.
The distance from Earth to Mars is approximately 9.25 x 10^7 km.
To find the difference, we subtract the distance to the moon from the distance to Mars:
9.25 x 10^7 km - 3.74 x 10^5 km
To subtract these numbers, we need to make sure the exponents are the same. We can rewrite the distance to the moon in scientific notation with the same exponent as the distance to Mars:
3.74 x 10^5 km = 0.374 x 10^6 km (since 0.374 = 3.74 x 10^5 / 10^6)
Now we can perform the subtraction:
9.25 x 10^7 km - 0.374 x 10^6 km = 9.25 x 10^7 km - 0.374 x 10^6 km
To subtract, we subtract the coefficients and keep the same exponent:
9.25 x 10^7 km - 0.374 x 10^6 km = 9.25 x 10^7 - 0.374 x 10^6 km
Simplifying the subtraction:
9.25 x 10^7 - 0.374 x 10^6 km = 9.249626 x 10^7 km
Therefore, traveling from Earth to Mars is approximately 9.249626 x 10^7 km farther than traveling from Earth to the moon.
Scientific notation is a convenient way to express very large or very small numbers. It consists of a coefficient (a number between 1 and 10) multiplied by a power of 10 (exponent). It allows us to write and manipulate such numbers in a compact and standardized form.
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What is the volume of the pyramid?
A 17cm^3, 56cm^3, 84cm^3 or 168cm^3
Answer:
56cm2
Step-by-step explanation:
1÷3×4×6×7
=56cm2
The area of a rectangle is 3x2 - 12x square yards. If the width is 3x yards, what is the length of the rectangle?
Answer:
x - 4 yards.
Step-by-step explanation:
Given:
Area of rectangle = 3x^2 - 12x square yards
Width = 3x yards
To find:
Length of rectangle
Solution:
The area of a rectangle is equal to the product of its length and width.
Area of rectangle = Length * Width
Substituting the given values, we get:
3x^2 - 12x = Length * 3x
Length =( 3x^2 - 12x )3x
Length = x-4
Therefore, the length of the rectangle is x - 4 yards.
Answer: The length of the rectangle is x - 4 yards.
Step-by-step explanation:
We can create an equation to solve this word problem, where the variable L = length.
3x × L = \(3x^2 - 12x\)
We need to solve for the variable L, to find the length of the rectangle.
First lets factor the right side of the equation to make it easier to divide with.
3x × L = \(3x^2 - 12x\)
We can factor out 3x from the right side of the equation.
3x × L = 3x(x - 4)
Now we need to get the variable L by itself (isolating the variable). In order to do that, we can divide both sides by 3x.
3x × L = 3x(x - 4)
/3x /3x
L = x - 4
The length of the rectangle is x - 4 yards.
whats is the spread of 4, 6, 7, 9, 9
So, the spread of the numbers 4, 6, 7, 9, 9 is 5.
What is spread?Spread can refer to different things depending on the context. Here are a few examples:
In finance, spread refers to the difference between the bid price and the ask price of a security or asset. The bid price is the highest price a buyer is willing to pay for a security, while the ask price is the lowest price a seller is willing to accept. The spread represents the cost of trading that security or asset and is typically measured in basis points (hundredths of a percentage point).
In sports betting, spread refers to the point spread or handicap that is assigned to a team in order to make the betting odds more even. For example, if a football team is favored to win by 7 points, they may be assigned a -7-point spread, meaning they would have to win by more than 7 points for a bet on them to be successful.
In epidemiology, spread refers to the transmission of a disease from one person to another. The spread of a disease can be influenced by a variety of factors, including the infectiousness of the disease, the proximity and frequency of contact between people, and the effectiveness of measures to prevent transmission (such as vaccines or masks).
In cooking, spread can refer to a variety of ingredients that are used to spread on bread or crackers, such as butter, jam, or peanut butter.
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Find the area of the shape shown below.
Answer: 10
Step-by-step explanation:
To work out the area of this shape you have to split this into 1 square and 2 triangles.
The formula of the area of the triangle is base x height divided by 2
The first triangle on the left would be 2x2/2=2
The area of second triangle on the left is 4x2/2=4
The formula for the square is base x height.
Then to work out the area of the square you do 2x2=4
So, to work out the area of the whole shape you add all of the areas together.
2+4+4=10
You use a garden hose to fill a wading pool. If the water level rises 13 centimeters every 3 minutes and you record the data point of (9,y), what is the value of y? Use slope to justify your answer.
Answer:
The rate of change at which the water level rise is 13/6 cm/minute.The slope of the line is 13/6.The value of y is 23, (12,23).
\(\int\limits^a_b {x} \, dx 2xe^{3x} \\\)
Answer:
\(b^{2}x{e}^{3x}-{a}^{2}x{e}^{3x} \)