a) The probability that a battery does not reach the milestone in its first 8 hours of usage is 0.014 or 1.4%. b) The probability of this goal being met is 0.002 or 0.2%. c) The smallest value of n that satisfies P(X >= 10) > 0.01 is n = 13.
(a) To calculate the probability that a battery does not reach the milestone in its first 8 hours of usage, we need to calculate the area under the normal curve to the right of 8 hours. We can use the standard normal distribution to do this by first standardizing the value of 8 hours using the formula:
z = (x - mu) / sigma
where x is the value of 8 hours, mu is the mean of the distribution (7.36 hours), and sigma is the standard deviation (0.29 hours). Substituting these values, we get:
z = (8 - 7.36) / 0.29 = 2.21
Using a standard normal table or a calculator, we can find that the area to the right of z = 2.21 is approximately 0.014.
(b) We want to find the probability that at least 10 batteries out of a pack of 12 last until 7.5 hours of usage. This is a binomial distribution with n = 12 and p = the probability that a single battery lasts until 7.5 hours.
To find p, we can use the standard normal distribution again by standardizing the value of 7.5 hours:
z = (7.5 - 7.36) / 0.29 = 0.48
Using a standard normal table or a calculator, we can find that the area to the right of z = 0.48 is approximately 0.316. Therefore, the probability that a single battery lasts until 7.5 hours is 0.316.
Now we can use the binomial distribution formula to calculate the probability that at least 10 batteries out of 12 last until 7.5 hours:
P(X >= 10) = 1 - P(X < 10)
where X is the number of batteries that last until 7.5 hours, and P(X < 10) is the cumulative probability of 9 or fewer batteries lasting until 7.5 hours. Using a binomial calculator or a standard normal table, we can find that:
P(X < 10) = 0.998
Therefore, P(X >= 10) = 1 - 0.998 = 0.002 or 0.2%.
(c) We want to find the smallest value of n such that the probability of at least 10 batteries out of n lasting until 7.5 hours is greater than 1%. This is equivalent to finding the smallest n such that:
P(X >= 10) > 0.01
Using a binomial calculator or a standard normal table, we can find that:
P(X < 10) = 0.989 when n = 10
P(X < 10) = 0.970 when n = 11
P(X < 10) = 0.942 when n = 12
Therefore, the smallest value of n that satisfies P(X >= 10) > 0.01 is n = 13.
Learn more about probability distributions (normal and binomial):https://brainly.com/question/15278907
#SPJ11
Your question is incomplete, but probably the complete question is :
Suppose that a brand of AA batteries reaches a significant milestone to their death on average after 7.36 hours, with standard deviation of 0.29 hours. Assume that when this milestone occurs follows a normal distribution.
(a) Calculate the probability that a battery does not reach this milestone in its first 8 hours of usage.
(b) Suppose that the company wants to sell a pack of n batteries of which (at least) 10 will last until 7.5 hours of usage. If n 12, what is the probability of this goal being met?
(c) How many batteries n should be in the package in order for the probability to exceed 1%? Give the smallest number n which works.
1. Kendra owns a restaurant. She charges $1. 50 for 2 eggs and one piece of toast, and $. 90 for one egg
and one piece of toast. Determine how much she charges for each egg and each piece of toast
Kendra cost $0.60 for each egg and $0.30 for each piece of toast.
Let's assume that the cost of one egg is x and the cost of one piece of toast is y.
From the given information, we can set up two equations:
2x + y = 1.5
x + y = 0.9
We can solve this system of equations by either substitution or elimination method.
Using the elimination method, we can multiply the second equation by -2 to eliminate y:
-2x - 2y = -1.8
2x + y = 1.5
Adding these two equations, we get:
-1y = -0.3
y = 0.3
Substituting y = 0.3 in either of the two equations, we get:
x = 0.6
Therefore, Kendra charges $0.60 for each egg and $0.30 for each piece of toast.
To know more about Cost:
https://brainly.com/question/2426870
#SPJ4
volume of a sphere = ³, where r is the radius. The radius of a spherical planet is 6052 km, and its mass is 4.87 × 1027g. Calculate the density of the planet in kilograms per cubic metre (kg/m³). Give your answer in standard form to 3 s.f.
Answer:
5240 kg/m³
Step-by-step explanation:
You want the average density of a planet with radius 6052 km and mass 4.87×10^27 g.
Unit conversionThe mass is given in grams, and the corresponding unit in the desired answer is kilograms. There are 1000 g in 1 kg, so 4.87×10^27 g = 4.87×10^24 kg.
The radius is given in km, and the corresponding unit in the desired answer is meters. There are 1000 meters in 1 km, so 6052 km = 6052×10^3 m. (We could adjust the decimal point, but we choose to let the calculator do that.)
DensityThe units of density tell you it is computed by dividing the mass by the volume:
ρ = mass/volume
The volume of the sphere is found using the given formula, so the density is ...
ρ = (4.87×10^24 kg)/(4/3π(6052×10^3 m)^3)
ρ ≈ 5240 kg/m³
The average density of the planet is about 5240 kg/m³.
__
Additional comment
This is comparable to the average density of Earth, which is about 5520 kg/m³.
a collection of five positive integers has mean $4.4$, unique mode $3$ and median $4$. if an $8$ is added to the collection, what is the new median? express your answer as a decimal to the nearest tenth.
To begin, we know that the median of the original collection of five positive integers is 4, which means that the middle number is 4. We also know that the unique mode is 3, which means that there is only one number in the collection that occurs more frequently than any other number.
Let's call the five positive integers in the original collection a, b, c, d, and e.
Since the mean of the original collection is 4.4, we can set up the equation:
(a+b+c+d+e)/5 = 4.4
Multiplying both sides by 5 gives:
a+b+c+d+e = 22
We also know that the mode is 3, which means that one of the numbers in the collection must be 3. Let's assume that a = 3, then we have:
3+b+c+d+e = 22
b+c+d+e = 19
Since the median is 4 and 3 is the unique mode, we can conclude that b, c, d, and e must be either 4 or 5. However, since there is only one unique mode, we know that there is only one number in the collection that is equal to 3. Therefore, we can conclude that the collection of five positive integers must be: 3, 4, 4, 4, 5.
If we add 8 to this collection, the new collection becomes: 3, 4, 4, 4, 5, 8. The new collection has six numbers, so the median is now the average of the two middle numbers. Since the middle two numbers are 4 and 5, the median is (4+5)/2 = 4.5.
Therefore, the new median is 4.5, expressed as a decimal to the nearest tenth.
For more details about median click here:
https://brainly.com/question/28060453#
#SPJ11
a bag is filled with 200 silver coins and 123 gold coins. what is the theoretical probability of not pulling out a silver coin?
The theoretical probability of not picking the silver coin will be 0.38 .
Given,
200 silver coins and 123 gold coins are filled in a bag .
Now,
Total number of coins in a bag = gold + silver coins
Total number of coins in a bag = 200 + 123
Total number of coins in a bag = 323
Further ,
Probability of taking silver coin = 200/323
Probability of taking silver coin = 0.619.
probability of taking gold coin = 123/323
probability of taking gold coin = 0.38
Hence the probability of not selecting silver coin is 0.38 .
Know more about probability,
https://brainly.com/question/14210034
#SPJ12
I NEED HELP ON THIS ASAP!
Answer:
16 represents the hours available to sew gloves.
2 represents the cost of producing gloves for a small pair.
Step-by-step explanation:
Factor 64v+8w. ASAPPP PLSS
Answer:49 = 7×7; 64 = 8×8; Difference Square is the answer. where a =7u; b = 8v. Hope that you carry out the rest Bianca,.. Jung Tran
Step-by-step explanation:
which set of numbers can make the inequality below true? 26> n + 15
Answer:
[tex]26 > n + 15[/tex]
[tex]11 > n[/tex]
[tex]n < 11[/tex]
evaluate the double integral. 8y2 da, d is the triangular region with vertices (0, 1), (1, 2), (4, 1) d
The value of the double integral is 128/27 - 32/9 + 8ln2/3. From triangular region with vertices (0, 1), (1, 2), (4, 1) d.
To evaluate the double integral, we first need to set up the limits of integration. Since the region D is a triangle, we can use the following limits:
0 ≤ x ≤ 1
1 + x ≤ y ≤ 4 - x
The integral then becomes:
∫0^1 ∫1+x^4-x 8y^2 dy dx
Evaluating the integral with respect to y first, we get:
∫0^1 ∫1+x^4-x 8y^2 dy dx = ∫0^1 [(8/3)(y^3)]1+x^4-x dx
= ∫0^1 [(8/3)(1+x^3)^3 - (8/3)(1+x^2)^3] dx
= 128/27 - 32/9 + 8ln2/3
Learn more about integral: https://brainly.com/question/27419605
#SPJ11
analysis of a pert problem shows the estimated time for the critical path to be 108 days with a variance of 64. there is a .90 probability that the project will be completed before approximately day: group of answer choices 108. 98. 115. 118. 109.
There is a .90 probability that the project will be completed before approximately day 118.
The given information can be solved by using the formula of z-score as follows:
Z = (X - μ)/σ
Where: Z = z-score
X = the time for project completion
μ = the mean time for the critical path
σ = standard deviation for the critical path
σ² = variance of the critical pathσ = √64
σ = 8
Given that the mean time for the critical path is μ = 108 days and σ = 8 days,
Therefore, the z-score of the completion of the project before 108 days is given by:
Z = (X - μ)/σ0.90
= P(Z < z)
= P(Z < (X - 108)/8)P(Z < (X - 108)/8)
= 0.90
Using a z-table or calculator, we find the z-value to be 1.28.
Then,1.28 = (X - 108)/8
Multiplying both sides by 8, we get:10.24 = X - 108
Adding 108 to both sides, we get: X = 118.24
For similar question on probability.
https://brainly.com/question/29863918
#SPJ11
Find the distance between the points (9,7) and (6,3).
Let (x1, y1) = (9,7) and (x2, y2) = (6,3)
By distance formula,
d = (x2 - x1)² + (y2 - y1)²
d = (6 - 9)² + (3 - 7)²
d = (-3)² + (-4)²
d = 9 + 16
d = 25 units
answers on a multiple choice test have choices a, b, c, d. the instructor has chosen answers randomly according to a discrete uniform distribution. what is the probability the first 3 questions have the same answer choice?
The probability that the first three questions have the same answer choice is 1/4, since there are four answer choices and the instructor is randomly selecting the answers according to a discrete uniform distribution. This means that each answer choice has an equal probability of being chosen. Therefore, the probability of all three questions having the same answer is 1/4.
Learn more about probability
brainly.com/question/30034780
#SPJ11
how can the union and intersection of n sets that all are subsets of the universal set u be found using bit strings?
The union and intersection of n sets that are all subsets of the universal set u can be found using bit strings.
Bit strings are a way of representing sets as strings of binary digits. To represent a set, each element is assigned a digit of 0 or 1. A 1 indicates that the element is in the set, while a 0 indicates that the element is not in the set.
The union of the sets is found by combining the bit strings and setting any digit that is 1 in any of the sets to a 1. The intersection is found by comparing the bit strings and setting any digit that is 1 in all of the sets to a 1.
By using bit strings, we can quickly and accurately find the union and intersection of n sets that are all subsets of the universal set u.
To know more about universal set click on below link:
https://brainly.com/question/24627919#
#SPJ11
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°)
To learn more about right triangle here:
https://brainly.com/question/6322314
#SPJ1
there are 75 people at the city swim park today. everyone in the park was wearing swim suits or sunglasses, some people had both. how many people had swim suits on but not sunglasses, if you know 63 people have swim suits on and 43 have sunglasses?
If you know 63 people have swim suits on and 43 have sunglasses, 32 people have swim suits on but not sunglasses.
To find out how many people have swim suits on but not sunglasses, we can use the principle of inclusion-exclusion.
We know that there are 75 people in the park, and 63 of them have swim suits on. We also know that 43 people have sunglasses. However, some people have both swim suits and sunglasses. Let's denote the number of people who have both by x. Then we can use the formula:
total = swim suits + sunglasses - both
Substituting in the given values, we get:
75 = 63 + 43 - x
Simplifying, we get:
x = 31
Therefore, 31 people have both swim suits and sunglasses, and the number of people who have swim suits on but not sunglasses is:
63 - 31 = 32
To learn more about inclusion-exclusion click on,
https://brainly.com/question/18958304
#SPJ4
Please helpppppp! I really don't understand
Answer:
AB=8.1 and B=29.6
Step-by-step explanation:
1) To find the measure of AB, use the law of cosines
[tex]c^2=4^2+7^2-2(4)(7)cos(90)[/tex]
[tex]c^2 = 16+49 -56cos(90)\\c^2= 65\\c=8.1[/tex]
2) Use law of sines to find the measure of B
[tex]\frac{8.1}{sin(90)} =\frac{4}{sin(B)}[/tex]
B=29.6
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.
To learn more about an equation visit:
https://brainly.com/question/14686792.
The yard pictured below has algebraic expressions for its side lengths, in metres.
Find a simplified algebraic expression for the perimeter of the yard.
Use your expression to find the perimeter in meters, if the value of x=3 m . Show your steps.
The simplified algebraic expression for the perimeter of the yard is 28m+10x, and if x=3m, then the perimeter is 58m.
The simplified algebraic expression for the perimeter of the yard is 28m+10x, and if x=3m, then the perimeter is 58m.
In the given figure, the yard is in the shape of a rectangle with dimensions (4x - 6) m and (2x + 3) m. The perimeter of a rectangle is the sum of the lengths of all four sides, which can be expressed as:
Perimeter = 2(Length + Width)
Perimeter = 2(4x - 6 + 2x + 3) m
Perimeter = 2(6x - 3) m
Perimeter = 12x - 6 m
So, a simplified algebraic expression for the perimeter of the yard is 12x - 6 m.
To find the perimeter in meters when x = 3 m, substitute x = 3 into the algebraic expression for perimeter:
Perimeter = 12(3) - 6 m
Perimeter = 30 m
Therefore, the perimeter of the yard when x = 3 m is 30 meters.
To learn more about perimeter please click on below link
https://brainly.com/question/7486523
#SPJ1
a normal distribution has a mean of 61 and a standard deviation of 14. what is the median? (enter an exact number as an integer, fraction, or decimal.)
The median of a normal distribution with a mean of $\mu$ and standard deviation of $\sigma$ is simply equal to the mean $\mu$. Therefore, for a normal distribution with a mean of 61 and a standard deviation of 14, the median is also 61.
This is because the normal distribution is a symmetric distribution, with the mean, median, and mode all located at the same point on the horizontal axis. The mean represents the center of the distribution and is also the balance point for the distribution, so half of the observations will be less than the mean and half will be greater than the mean.
Therefore, for a normal distribution with a given mean and standard deviation, we can use the mean as an estimate of the median. In this case, the mean is exactly equal to the median, so the median is 61.
It is worth noting that this property of normal distributions only holds for normal distributions, and not necessarily for other types of distributions. For example, in a skewed distribution, the mean and median may be quite different from each other.
For more details about median click here:
https://brainly.com/question/28060453#
#SPJ11
pls help math scientific notation (view photo)
Just ignore this answer, its incorrect
*edited*
Which statement describes the graph of this polynomial function?
f (x) = x Superscript 5 Baseline minus 6 x Superscript 4 Baseline + 9 x cubed
Answer:
The statement that describes the graph of the polynomial function f (x) = x^5 - 6x^4 + 9x^3 is that it has a local maximum at x = 0 and a local minimum at x = 2. The degree of the polynomial is 5, which means it has five zeros or x-intercepts. The leading coefficient is positive, which indicates that the graph will rise to the left and right. The function has a point of inflection at x = 1.5, where the concavity changes from up to down. Overall, the graph of this polynomial function has a typical "upside-down U" shape with local extrema and a point of inflection.
The table shows the dimensions of two fenced-in areas at the dog park. How many times greater is the area enclosed by the wood fence than the area enclosed by the metal fence
The area enclosed by the wood fence is 7 3/4 times greater than the area enclosed by the metal fence. So the correct answer is d. 7 3/4.
What is area?When measuring the area of a shape, we are determining the amount of surface the shape takes up.
To calculate the area enclosed by each fence, we must multiply the length and width of each.
The area enclosed by the wood fence is
6 1/2 x 2 1/4 = 14 7/8 square yards,
and the area enclosed by the metal fence is
2 3/4 x 2 1/2 = 6 7/8 square yards.
To determine how many times greater the area enclosed by the wood fence is than the area enclosed by the metal fence, we must divide the area of the wood fence by the area of the metal fence:
14 7/8 / 6 7/8 = 7 3/4.
This means the area enclosed by the wood fence is 7 3/4 times greater than the area enclosed by the metal fence.
For more questions related to fence
https://brainly.com/question/29431935
#SPJ1
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.
learn more about 'Statistics':https://brainly.com/question/31274555
#SPJ11
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
Learn more about prime factors here
brainly.com/question/29775157
#SPJ4
the number 5/3 can be best described as a(n) ___.
Answer: Proper fraction
Step-by-step explanation:
A proper fraction is a fraction that has its numerator value less than the denominator.
For example, ⅔, 6/7, 8/9, etc. are proper fractions.
A rectangular garden has a walkway around it. The area of the garden is 6(5. 5x+2. 5). The combined area of the garden and the walkway is 6. 5(8x+4). Find the area if the walkway around the garden as the sum of two terms
The area of the walkway can be expressed as the sum of two terms is 9x + 7 and 10x + 4.
We are given that the area of the garden is 6(5.5x + 2.5). This means that the garden has a length of 5.5x + 2.5 units and a width of 6 units (since the problem doesn't specify which side is the length or width, we can assume either). We can use the formula for the area of a rectangle to find the area of the garden:
Area of the garden = length x width = (5.5x + 2.5) x 6 = 33x + 15
Next, we are given that the combined area of the garden and the walkway is 6.5(8x + 4). This means that the garden and the walkway together have a length of 8x + 4 units and a width of 6.5 units. We can again use the formula for the area of a rectangle to find the combined area:
Combined area = length x width = (8x + 4) x 6.5 = 52x + 26
To find the area of the walkway, we need to subtract the area of the garden from the combined area. This will give us the area of the walkway alone.
Area of the walkway = Combined area - Area of the garden
= (52x + 26) - (33x + 15)
= 19x + 11
Finally, we are asked to express the area of the walkway as the sum of two terms. This means we need to find two numbers that add up to 19 and two numbers that add up to 11. We can use trial and error to find these numbers. One possible solution is:
19x + 11 = (9x + 7) + (10x + 4)
To know more about area here
https://brainly.com/question/14994710
#SPJ4
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.
Rita started the day with R apps. then she deleted 5 apps and still had twice the amount of Cora (36). write an equation that represents the number of apps both girls have
Answer:
Step-by-step explanation:lllllLet's start by using "R" to represent the number of apps that Rita started with, and "C" to represent the number of apps that Cora started with.
We know that Rita deleted 5 apps, so she would have (R-5) apps remaining. And we know that she still had twice the amount of Cora, which is 36.
So we can write the equation:
R-5 = 2C
And we also know that Cora had 36 apps, so we can substitute that value in for C:
R-5 = 2(36)
Simplifying the right side:
R-5 = 72
Finally, we can solve for R by adding 5 to both sides:
R = 77
So Rita started with 77 apps, and Cora started with 36 apps. We can check that Rita deleted 5 and had twice as many as Cora by plugging our values into the original equation:
77 - 5 = 72
2(36) = 72
Both sides are equal, so our solution is correct.
If the function, g(x), has the ordered pairs (-4, 15), (-2, 3), and (0, -1), fill in the ordered pairs that know exist on the graph of g−1(x)
Answer:
(15, - 4 ) , (3, - 2 ) , (- 1, 0 )
Step-by-step explanation:
given a point (x, y ) on a function f(x) , then the corresponding point on the inverse function is (y, x )
given the points on g(x) , then the corresponding points on [tex]g^{-1}[/tex] (x) are
(- 4, 15 ) → (15, - 4 )
(- 2, 3 ) → (3, - 2 )
(0, - 1 ) → (- 1, 0 )
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.
Learn more about graph's here
brainly.com/question/29091332
#SPJ2
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.
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.
For more details about variables click here:
https://brainly.com/question/17344045#
#SPJ11