The function is increasing over the intervals D. -6 < x < -1 and 2 < x < 3 and 4 < x < 6.
When does a function increase?A function is increasing when the slope of its graph is positive, meaning that its graph is rising from left to right.
In the given coordinate plane, the graph of the function consists of three sections, each of which has an increasing slope.
The first section is from -6 to -1, the second section is from 2 to 3, and the third section is from 4 to 6.
This means that the function is increasing over the intervals -6 < x < -1 and 2 < x < 3 and 4 < x < 6.
To confirm this, we can calculate the slope of the graph in each interval. The slope of the graph between two points (x1,y1) and (x2,y2) is given by (y2-y1)/(x2-x1).
For the first interval, the slope is (3-(-5))/(-1-(-6)) = 8/-5 = -1.6. This is a negative value, which means the graph is decreasing over this interval. For the second interval, the slope is (4-3)/(3-2) = 1/1 = 1. This is a positive value, so the graph is increasing over this interval.
For the third interval, the slope is (6-4)/(4-2) = 2/2 = 1. This is also a positive value, so the graph is increasing over this interval as well.
Therefore, the function is increasing over the intervals -6 < x < -1 and 2 < x < 3 and 4 < x < 6, which is option D.
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ILL GIVE THE BRAINLIEST
Answer:1, -.66 repeating, 1.25
Step-by-step explanation i turned them into decimals
24/8x-1/3= -1
-2/5x5/3= -.66 repeating
-5/6x-3/2= 1.25
Help help help help help HELP ME PLEASE THIS IS DUE REALLY SOOONNN
answer for number 14 is 1115
you mutliply 27 into 1 ×45 into 100
it is 100 because we are dealing with percentage
so you say (write in fraction form)
27÷1×45÷100
=1215÷100
you get the answer of 1115
so there were 1115 female butterflies
we can subtract the answer from the original number to get the number of male butterflies
1215-1115 =100 male butterflies
As shown below, Ghana makes a triangular decoration out of clay.
When she fires it in the kiln, it shrinks proportionally. If the base of the
finished decoration is only 9 inches after firing, what is the height, in inches,
of the finished decoration?
A
B
с
D
4
5
6
10 in.
8
15 in.
TIPS AND F
Check your answe
makes sense. Since
half of 15, the answ
more than half of 10
Answer:
Since the decoration is in the shape of a triangle, we can use the formula for the area of a triangle to solve for its height. The area of a triangle is given by:
Area = (1/2) x base x height
Let's call the height of the decoration h. We know that the base after firing is 9 inches, so we can plug in the given values and solve for h:
Area = (1/2) x 9 x h
Area = 4.5h
We don't know the exact area of the decoration, but we do know that the decoration maintains its shape after firing. This means that the ratio of the areas before and after firing is the same, and so is the ratio of the heights and bases. Since the height and base are proportional, we can write:
h / 15 = 9 / 10
Simplifying the equation, we get:
h = (9/10) x 15
h = 13.5
Therefore, the height of the finished decoration is 13.5 inches.
g inspect the bball3 data set. what structure do these data appear to take? panel data cross sectional time series
The bball3 dataset appears to take the form of panel data, which is a type of longitudinal data consisting of multiple observations of the same individuals over time
The bball3 dataset appears to take the form of panel data. Panel data is a type of longitudinal data where observations are made on the same individuals over time. This means that the dataset likely consists of multiple observations of a set of individuals, with the observations collected at different points in time. In a panel data set, each individual can be referred to as a ‘panel unit’.
Cross-sectional data, on the other hand, consists of observations that are collected only once, at a single point in time. This means that each observation consists of a snapshot of the population at a given moment, which is different from panel data where each observation may represent different points in time for the same individuals.
Time series data is a type of data that is collected over a period of time. It captures how a certain variable changes over time, and is often used for forecasting purposes. This is different from panel data, which captures information about the same individuals at different points in time.
In conclusion, the bball3 dataset appears to take the form of panel data, which is a type of longitudinal data consisting of multiple observations of the same individuals over time. It is not cross-sectional or time series data.
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Please Help Quickly ASAP Hurry ASAP
What is the value of θ for the acute angle in a right triangle?
sin(θ)=cos(44°)
Therefore, the value of θ for the acute angle in a right triangle is 46°.We can use the fact that the sine and cosine of complementary angles are equal to find θ.
To find the value of θ for the acute angle in a right triangle, we need to use one of the trigonometric ratios. In this case, we are given the sine of θ and the cosine of 44°. Recall that the sine of an angle θ is defined as the ratio of the opposite side to the hypotenuse in a right triangle:
sin(θ) = opposite / hypotenuse
And the cosine of an angle φ is defined as the ratio of the adjacent side to the hypotenuse:
cos(φ) = adjacent / hypotenuse
In a right triangle, the two acute angles are complementary, which means that their sum is 90°. That is,θ + 90° = 90°
θ = 90° - 44°.Now we can use the given equation sin(θ) = cos(44°) and substitute θ: sin(90° - 44°) = cos(44°) => sin(46°) = cos(44°)
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an individual was making blankets for some friends. the individual used 7.2 feet of fabric to make one blanket. how many feet of fabric will the individual need to make 11 blankets (round to the nearest whole number)?
The number of feet of fabric will the individual need to make 11 blankets is 79.2 feet
To find out how many feet of fabric the individual will need to make 11 blankets, we can use the unitary method.
We know that the individual used 7.2 feet of fabric to make one blanket. So, to find out how much fabric is needed to make 11 blankets, we can set up a proportion
7.2 feet of fabric is needed for 1 blanket
x feet of fabric is needed for 11 blankets
We can solve for x by cross-multiplying and then dividing
7.2 × 11 = x
x = 79.2 feet
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a certain positive integer has exactly 8 factors. two of these factors are 15 and 21. what is the sum of all eight factors?
The sum of all eight factors is 96
Let's express the integer as a product of its prime factors, in the form
n = p1^a1 × p2^a2 × ... × pn^an
where p1, p2, ..., pn are prime numbers and a1, a2, ..., an are positive integers.
We know that the integer has 8 factors, which means that its prime factorization must have the form:
n = p1^2 × p2^2 × p3^4
since (2+1) × (2+1) × (4+1) = 3 × 3 × 5 = 45, which is the total number of factors for this product.
We also know that 15 and 21 are factors of the integer, so they must be expressible in terms of the prime factors of n. We can write
15 = 3 × 5 = p1 × p2
21 = 3 × 7 = p1 × p3
From these expressions, we can see that p1 = 3, p2 = 5, and p3 = 7.
Therefore, the prime factorization of n is
n = 3^2 × 5^2 × 7^4
The eight factors of n are
1, 3, 5, 7, 9, 15, 21, and 35
Their sum is
1 + 3 + 5 + 7 + 9 + 15 + 21 + 35 = 96
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the probability that a randomly selected case will have a score beyond either +1.00 or -1.00 standard deviation of the mean is select one a 6826
b 5000 c 3174 d 1/2 of the area of 1 standard deviation
Correct option is (c) 3174
The probability that a randomly selected case will have a score beyond either +1.00 or -1.00 standard deviation of the mean depends on the type of distribution and the area under the curve beyond these values.
Assuming a normal distribution, approximately 68% of the cases fall within one standard deviation from the mean, and approximately 32% of the cases fall beyond either +1.00 or -1.00 standard deviation of the mean.
To calculate the probability of a randomly selected case falling beyond either +1.00 or -1.00 standard deviation of the mean, we need to calculate the area under the curve beyond these values. Since the distribution is symmetric, we can calculate the area on one side of the mean and multiply it by 2.
Using a standard normal distribution table or calculator, we can find the area under the curve beyond +1.00 standard deviation from the mean as 0.1587 and the area under the curve beyond -1.00 standard deviation from the mean as 0.1587.
Therefore, the total probability of a randomly selected case falling beyond either +1.00 or -1.00 standard deviation of the mean is 0.1587 + 0.1587 = 0.3174, which is approximately 32%.
Hence, the correct option is (c) 3174.
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the width of this rectangle is 1/3 of the length. Find the width of the rectangle
Answer:
length = 42 in , width = 14 in
Step-by-step explanation:
given the width is [tex]\frac{1}{3}[/tex] of the length , then
y - 4 = [tex]\frac{1}{3}[/tex] (2y + 6) ← multiply both sides by 3 to clear the fraction
3y - 12 = 2y + 6 ( subtract 2y from both sides )
y - 12 = 6 ( add 12 to both sides )
y = 18
then
length = 2y + 6 = 2(18) + 6 = 36 + 6 = 42 in
width = y - 4 = 18 - 4 = 14 in
if a continuous probability distribution is symmetric above and below the mean and displays a bell-shaped function, what type of distribution does this indicate?
There is a 68.26% chance of a value falling between 3 and 7 in the given normal distribution.
This indicates a normal distribution, which is a type of continuous probability distribution. It is characterized by a bell-shaped curve that is symmetric about the mean, with a specific formula given by f(x) = [tex]1/(σ√2π)e^(-(x-μ)^2/2σ^2)[/tex]where μ is the mean, σ is the standard deviation, and x is the random variable.
In terms of calculation, we can use the formula to calculate the probability of a certain event occurring. For example, if we know the mean and standard deviation of a normal distribution, we can calculate the probability of a value between two given points. For example, if the mean is 5 and the standard deviation is 2, then the probability of a value between 3 and 7 is given by the integral of f(x) from 3 to 7, which is equal to 0.6826. This means that there is a 68.26% chance of a value falling between 3 and 7 in the given normal distribution.
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excel a university found that 5% of its students who enroll in an introductory statistics class withdraw. assume 90 students have registered for an introductory statistics course this semester. (a) what is the probability that no student will withdraw from the course?
The probability that no student will withdraw from the course is approximately 0.008 or 0.8%, assuming a binomial distribution with n=90 and p=0.05.
Since each student's decision to withdraw or not is independent of others, we can model the number of students who withdraw as a binomial random variable with n=90 and p=0.05.
To find the probability that no student will withdraw from the course, we want to find P(X=0), where X is the number of students who withdraw. This is given by the binomial probability mass function:
P(X=0) = (n choose 0) * p^0 * (1-p)^(n-0) = (90 choose 0) * 0.05^0 * 0.95^90
Using a calculator or software, we find:
P(X=0) ≈ 0.008
Therefore, the probability that no student will withdraw from the course is approximately 0.008 or 0.8%.
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we have data that is a continuous variable. it is a measurement of time between events. this is a situation where we should evaluate a histogram for a likely exponential distribution. group of answer choices true false
The statement "we have data that is a continuous variable. it is a measurement of time between events. this is a situation where we should evaluate a histogram for a likely exponential distribution" is true because when dealing with continuous data representing time between events, it is common to evaluate a histogram to determine if it follows an exponential distribution.
If the data represents the time between events and it is a continuous variable, it is common to evaluate the histogram to see if it follows an exponential distribution. The exponential distribution is often used to model the waiting time between independent events that occur at a constant average rate, and it has a continuous range of values that can be plotted as a histogram.
To evaluate whether the data follows an exponential distribution, you can plot a histogram and visually check if it has a single peak and a decreasing tail, which are characteristic of the exponential distribution. You can also use statistical tests such as the Kolmogorov-Smirnov test or the Anderson-Darling test to assess the goodness-of-fit between the data and the exponential distribution.
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In ∆DEF, m∠D=42°, m∠E=63°, and EF=24 in. What is DE to the nearest tenth of an inch? *Hint: Law of Sines
DE is approximately 30.3 inches to the nearest tenth of an inch.
Describe Law of Sines?The Law of Sines is a trigonometric formula used to find unknown sides and angles in any triangle, whether it is acute, obtuse, or right-angled. It relates the lengths of the sides of a triangle to the sine of the opposite angle.
The formula for the Law of Sines is:
a/sin(A) = b/sin(B) = c/sin(C)
where a, b, and c are the lengths of the sides of the triangle, and A, B, and C are the measures of the opposite angles.
We can use the Law of Sines to solve for DE.
The Law of Sines states that for any triangle ABC,
a/sin(A) = b/sin(B) = c/sin(C)
where a, b, and c are the side lengths opposite the angles A, B, and C, respectively.
In this case, we know that:
m∠D = 42°
m∠E = 63°
EF = 24 in.
Let x be the length of DE.
Then, applying the Law of Sines to ∆DEF, we have:
x/sin(63°) = 24/sin(42°)
Solving for x, we get:
x = (24*sin(63°))/sin(42°) ≈ 30.3
Therefore, DE is approximately 30.3 inches to the nearest tenth of an inch.
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50 Points!!! Are the Factor Theorem and Synthetic Division the same? If not, explain the difference.
Answer:
The Factor Theorem and Synthetic Division are not the same. The Factor Theorem states that if a polynomial f(x) has a root c, then x - c is a factor of f(x). Synthetic Division is a way of dividing a polynomial by a binomial.
Step-by-step explanation:
To use Synthetic Division, you first need to find the coefficients of the polynomial. Then, you set up the synthetic division table with the binomial on top and the coefficients of the polynomial on the bottom. Starting with the first coefficient, you multiply it by the first term of the binomial and write the product below the coefficient. Then, you add the two numbers below the product and write the sum below that. Continue until you reach the end of the binomial. The remainder at the bottom of the table is the remainder when f(x) is divided by x - c.
If the remainder is 0, then x - c is a factor of f(x).
A four-sided figure is resized to create a scaled copy. The lengths of its four sides
change as in the table below.
Original Figure Scaled Copy
64
88
104
8
11
13
Find the constant of proportionality from the original figure
to the scaled copy. Express your answer as a fraction in
reduced terms.
1
The scale of proportionality is given as 8 from the table that you have presented
How to solve for the scale of proportionalityThe table here was not properly arranged in the question. I have done so below
64 88 104
8 11 13
lets say that 8p = 64
then p = 64 / 8
p = 8
we would have to determine if the value 8 when multiplied with scaled factor would be able to give us the original factor
8 * 11 = 88
8 * 13 = 104
Hence the scale of proportionality is given as 8
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Francisco is trying to pick out an outfit for the first day of school. He can choose from 6 pairs of pants, 2 t-shirts, and 2 pairs of shoes. How many different outfits does Francisco have to choose from?
it might be 12
this is because there are6 pairs and 2 pairs
2×6=12
Answer:24
Step-by-step explanation: 6 times 2 = 12 times 2= 24
I don’t know how to solve this
Answer:
18. x = 80°
19. y = 85°
Step-by-step explanation:
Opposite angles of an inscribed quadrilateral are supplementary.
18.
x + x + 20 = 180
2x = 160
x = 80
Answer: x = 80°
y + y + 10 = 180
2y = 170
y = 85
Answer: y = 85°
Answer: x = 80° and y = 85°
Step-by-step explanation: In a cyclic quadrilateral, opposite angles add up to 180°.
x + (x + 20) = 180 and
y + (y + 10) = 180.
Solving for x
x + (x + 20) = 180
x + x + 20 = 180
2x = 180 - 20
2x = 160
2x/2 = 160/2
x = 80°
Solving for y
y + (y + 10) = 180
y + y + 10 = 180
2y = 180 - 10
2y = 170
2y/2 = 170/2
y = 85°
a. Is there a value of x, for -3≤x≤2, such that g(x)= 0
b. Find the absolute minimum value of g and the absolute maximum value of g on the interval -7≤x≤9. Justify your answer.
For x = -2, g(-2) = 2(-2)^3 - 5(-2)^2 + 4(-2) - 1 = 0, so there is a value of x such that g(x) = 0 for -3 ≤ x ≤ 2.
The absolute minimum value of g on the interval -7 ≤ x ≤ 9 is -765, and the absolute maximum value of g on the interval is 1720.
How to Solve the Problem?a. To determine if there is a value of x such that g(x) = 0 for -3 ≤ x ≤ 2, we can plug in each value of x in the interval into the equation and see if we get 0.
g(x) = 2x^3 - 5x^2 + 4x - 1
For x = -3, g(-3) = 2(-3)^3 - 5(-3)^2 + 4(-3) - 1 = -55, which is not 0.
For x = -2, g(-2) = 2(-2)^3 - 5(-2)^2 + 4(-2) - 1 = 0, so there is a value of x such that g(x) = 0 for -3 ≤ x ≤ 2.
b. To find the absolute minimum and maximum values of g on the interval -7 ≤ x ≤ 9, we can use the Extreme Value Theorem, which states that a continuous function on a closed interval will have both an absolute minimum and maximum value on that interval.
To find these values, we can take the derivative of g(x) and set it equal to 0 to find critical points, and then evaluate g(x) at those critical points as well as at the endpoints of the interval.
g(x) = 2x^3 - 5x^2 + 4x - 1
g'(x) = 6x^2 - 10x + 4 = 2(3x-2)(x-1)
Setting g'(x) = 0, we get critical points x = 2/3 and x = 1.
g(-7) = -765, g(2/3) = -23/27, g(1) = 0, and g(9) = 1720.
Therefore, the absolute minimum value of g on the interval -7 ≤ x ≤ 9 is -765, and the absolute maximum value of g on the interval is 1720.
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23. (p. 434-435) Which of the following factors work to reduce conflict and promote positive interaction between grieving couples who have lost a child by death?
1. Open and honest communication
2. Expressing emotions in each other's company
3. Crying separately to minimize the open grief and pain
4. Ability of partners to reframe each other's behavior in a positive way
A. 1, 2, and 3
B. 1, 2, and 4
C. 1, 3, and 4
D. 2, 3, and 4
The following factors work to reduce conflict and promote positive interaction between grieving couples who have lost a child by death is open and honest communication, expressing emotions in each other's company, and the ability of partners to reframe each other's behavior in a positive way. The correct option is B. 1, 2, and 4
When grieving couples lose a child due to death, it can lead to tension in their relationship, leading to conflicts between the couple. However, some factors work to reduce conflicts and promote positive interaction between grieving couples who have lost a child by death.
These factors include the following:
:Open and honest communication: Open communication is essential when it comes to expressing emotions, needs, and expectations from one another. It helps to build understanding, trust, and positive interaction between the couples. Honest communication provides room for clarification and better comprehension of each other's feelings and needs
Reframing each other's behavior in a positive way helps to build a healthy relationship and reduce conflicts.Crying separately to minimize the open grief and pain: Crying separately does not help reduce conflicts between the couple as it promotes distance and an unhealthy way of dealing with grief. It is important to grieve together and find support from each other to heal and move forward.
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What is the exact value of side x in the Trina for below? 20in 30 degree and X?
According to the question, the exact value of side x in the Trina are 34.641016151377546in.
What is value?Value is an intangible concept that refers to the worth of something, whether it is tangible or intangible. It is based on the perceived benefits and costs associated with the thing in question. Value can be subjective, as different people may place different worth on the same item. Value can also be objective, as there may be a set market price for a certain item.
The exact value of side x in the triangle can be determined by using the law of sines. The law of sines states that the ratio of the length of a side to the sine of its opposite angle is the same for all sides of a triangle.
Therefore, we can set up the following equation:
(20in/sin30°) = (x/sin60°)
Solving for x, we get:
x = 20in×(sin60°/sin30°)
x = 20in×(√(3)/1)
x = 20in×√(3)
x = 34.641016151377546in
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The exact value of side x in the Trina, according to the question, is 34.641016151377546in.
What is Exact value?Where you cannot predict the value, you must be specific. An exact number is a value that can be determined with absolute precision. Counted quantities of objects or sure unit conversions are examples of exact numbers.
The term "approximate number" refers to a number that is close to the precise number, and there is always a difference among exact and approximate numbers. For instance, are exact integers because no approximation is required.
As a result, we can construct the following equation:
(20in/sin30°) = (x/sin60°)
Solving for x, we get:
x = 20in×(sin60°/sin30°)
Simplify the above equation,
x = 20in×(√(3)/1)
x = 20in×√(3)
The value of x is,
x = 34.641016151377546in
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The complete question is,
What is the exact value of side x in the Trina for below? 20in 30 degree and X? Determine the exact value of side x.
Pls help me with 10 asap I will mark brainiest if it’s correct
The value of p from the given equation is 4.5.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign [tex]=\\[/tex].
The given equation is [tex]0.5p-3.45=-1.2[/tex]
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
The equation can be solved as follows
[tex]0.5p-3.45=-1.2[/tex]
[tex]0.5p= -1.2+3.45[/tex]
[tex]0.5p= 2.25[/tex]
[tex]p= 2.25\div0.5[/tex]
[tex]p= 4.5[/tex]
Therefore, the value of p is 4.5.
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the coefficient of correlation is a useful measure of the linear relationship between two variables. true false
The statement is true.
The coefficient of correlation, also known as the Pearson correlation coefficient, is a measure of the strength and direction of the linear relationship between two variables. It ranges from -1 to 1, with a value of -1 indicating a perfect negative correlation, a value of 0 indicating no correlation, and a value of 1 indicating a perfect positive correlation.
The coefficient of correlation is useful in many applications, including research, business, and finance. It allows us to quantify how closely related two variables are, which is important when analyzing data and making predictions.
For example, in finance, the correlation coefficient can be used to measure the degree of correlation between the returns of two assets, which is important when building diversified portfolios. It is important to note, however, that the coefficient of correlation only measures the strength and direction of the linear relationship between two variables.
It does not indicate causation, nor does it capture any non-linear relationships that may exist between the variables. Therefore, it should be used in conjunction with other analytical tools to fully understand the nature of the relationship between the variables.
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Please help anyone!!
Help plis! Need process too
Answer:
Step-by-step explanation:
E
Some people on this app scare me-
Sure, some people here are nice but some are just straight up rude and some are just creepy.. one random person on here literally called me "puppy girl" ..
I'm hoping all of these 30 yr olds on this app get off and actually have something to do with their life ..
There was this one person that said, 'hey how old are you?' of course I lied. then another asking me to change my profile to something inappropriate.
-8 6/7 - 5/6 simply your answer if needed to
Answer:
-407/42
Step-by-step explanation:
-8 6/7 - 5/6
-8 6/7 = -62/7
-62/7 - 5/6
= -372/42 - 35/42
= -407/42
The shaded area in the decimal grid below represents the amount of money that Karla has. She plans on dividing the money evenly between her three younger brothers. Her brothers are planning to spend the money on pieces of candy that cost $0.10 each.
What will be the maximum number of pieces of candy that each brother can buy?
(The large square of the grid represents $1.00 and each small square represents $0.01.)
Karla's three brothers can buy a maximum of 4 pieces of candy if they divide the money evenly.
What is division?
Division is a mathematical operation that involves splitting a quantity into equal parts or groups. It is one of the four basic arithmetic operations, along with addition, subtraction, and multiplication. Division is denoted by the symbol "÷" or "/", and it is usually expressed as a fraction or a quotient.
To solve this problem, we need to determine the amount of money represented by the shaded region. Here are the steps:
Count the number of small squares in the grid. For example, if the grid has 10 rows and 10 columns, there are 100 small squares in total.Determine the value of each small square. For example, if the large square of the grid represents $1.00, each small square represents $0.01.Multiply the number of shaded cells by the value of each small square to find the total amount of money represented by the shaded region.Assuming that each small square represents $0.01 and there are 143 shaded cells, the total amount of money represented by the shaded region is:
143 cells x $0.01/cell = $1.43
Now, we need to divide $1.43 evenly among Karla's three brothers to find the maximum number of pieces of candy each brother can buy.
$1.43 ÷ 3 = $0.476666...
Since we cannot buy fractional pieces of candy, we need to round down to the nearest whole number. Therefore, each of Karla's three brothers can buy a maximum of:
$0.47 ÷ $0.10/piece = 4 pieces of candy
So each of Karla's three brothers can buy a maximum of 4 pieces of candy if they divide the money evenly.
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I need help with this please ASAP people keep on skipping I need help
Answer:
To create a line plot for this data, we can first convert all the fractions to a common denominator, such as eighths:
Monday: 6/8 of an hour
Wednesday: 4/8 of an hour
Friday: 2/8 of an hour
Sunday: 4/8 of an hour
Then, we can draw a number line with tick marks representing each day of the week and plot a dot for each amount of time spent working out:
0 1 2 3 4
|---------|---------|---------|---------| <- Number line
. .
. .
. .
. .
To find out how much time June should work out each day to spend an even amount of time working out, we can first find the total amount of time she spent working out:
6/8 + 4/8 + 2/8 + 4/8 = 16/8 = 2 hours
Since there are four days she worked out, to find out how much time she should work out each day, we can divide the total time by four:
2 hours ÷ 4 = 0.5 hours
Therefore, June should work out for 0.5 hours, or 30 minutes, each day to spend an even amount of time working out.
A rhombus has an area of 20 cm^2. One diagonal is 10 cm. What is the other diagonal
The other diagonal of the rhombus is 4 cm.
The other diagonal of the rhombus can be found using the formula for the area of a rhombus, which is A = (d₁ × d₂)/2, where d₁ and d₂ are the lengths of the diagonals.
We're given that the area of the rhombus is 20 cm² and that one diagonal (d1) is 10 cm. Plugging these values into the formula, we get:
20 = (10 × d₂)/2
Simplifying, we get:
20 = 5 d₂
Dividing both sides by 5, we get:
d₂ = 4
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The graph below shows the relationship between life expectancy and infant mortality in a random sample of countries.
Answer choices.
Positive linear association
Negative linear association
Non linear association
No association
Answer:
negative linear association
Step-by-step explanation:
The best description of the association between life expectancy and infant mortality rate in the given graph is option B. Countries with higher infant mortality rates tended to have shorter life expectancies.
The negative linear association between life expectancy and infant mortality rate in the attached graph,
Life Expectancy,
Life expectancy refers to the average number of years a person is expected to live from birth.
In the graph, life expectancy is represented on the vertical axis (y-axis).
Infant Mortality Rate,
Infant mortality rate refers to the number of deaths of infants under one year of age per 1,000 live births.
In the graph, the infant mortality rate is represented on the horizontal axis (x-axis).
Negative Linear Association,
A negative linear association means that as one variable increases, the other variable tends to decrease at a consistent rate.
here, as the infant mortality rate increases (moving right on the x-axis), the life expectancy tends to decrease (moving down on the y-axis).
Interpretation,
Looking at the graph, we can see that countries with higher infant mortality rates are positioned towards the right side of the graph,
and they tend to have shorter life expectancies, which are positioned towards the bottom of the graph.
Conversely, countries with lower infant mortality rates are positioned towards the left side of the graph, and they tend to have longer life expectancies,
which are positioned towards the top of the graph.
Implication,
The negative linear association in the graph indicates that countries with higher rates of infant mortality are likely to have lower life expectancies.
This is because higher infant mortality rates often indicate poorer healthcare systems, lower living standards,
and other factors that can impact life expectancy negatively.
Therefore, based on the graph's trend, we can conclude that the statement B is the best description of the association between life expectancy and infant mortality rate.
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The above question is incomplete , the complete question is :
The Graph Below Shows The Relationship Between Life Expectancy And Infant Mortality Rate In A Random Sample Of Countries.
Which statement is the best description of the association between these variables? Choose all that apply.
A. Countries with higher infant mortality rates tended to have longer life expectancies.
B. Countries with higher infant mortality rates tended to have shorter life expectancies.
C. There is no clear relationship between infant mortality rates and life expectancy.
Attached graph.