68% of males in the town have a systolic blood pressure between 102 and 118.
We know that, the Empirical rule (or 68-95-99.7 rule) tell us that where most of the values lie in a normal distribution. Around 68% of values are within 1 standard deviation of the mean. Around 95%of values are within 2 standard deviations of the mean. Around 99.7% of values are within 3 standard deviation of the mean.
Given that mean (μ)= 110
and standard deviation (σ) = 8
We have to find percentage of males having systolic blood pressure between 102 and 118.
let's check for 68%,
68% are within 1 standard deviation = (μ-σ , μ+σ)
=(110-8 , 110+8)
=(102, 118)
Therefore 68% of males in the town have a systolic blood pressure between 102 and 118.
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a decimal number lies between 0.7 and 0.8 . it has three digits to the right of the decimal point. thus, it is of the following format: it is the largest number between 0.7 and 0.8 .the sum of the digits of this decimal number is 24 . find the decimal number.
The decimal number that lies between 0.7 and 0.8, has three digits to the right of the decimal point, and whose sum of the digits is 24 is 7.98.
A decimal number is a number that has a fractional part represented by a decimal point. The digits to the right of the decimal point represent values that are smaller than 1.
In this problem, we are given that the decimal number has three digits to the right of the decimal point and that its sum of the digits is 24. Let's call the decimal number x. We can write an equation to represent the sum of the digits:
x = a + b/10 + c/100
Where a, b, and c are the digits of x.
We know that 0.7 < x < 0.8 and that the sum of the digits of x is 24, so we can write two more equations:
0.7 < a + b/10 + c/100 < 0.8
a + b + c = 24
By solving these three equations, we can find the decimal number x.
We know that a must be 7 because 0.7 < x < 0.8, so a = 7. We also know that b + c = 24 - 7 = 17. Now we need to find two digits b and c such that b + c = 17 and b/10 + c/100 is between 0 and 0.1.
The largest value of b that still satisfies this condition is 9. This means that
=> c = 17 - 9 = 8.
Therefore, the decimal number
=> x = 7 + 9/10 + 8/100 = 7.98.
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write the equation of the perpendicular bisector of the line segment containing the points (2,-1) and (-4,3)
Answer: y = 3x/2 + 5/2
Step-by-step explanation:
Write the slope formula m = y2 - y1
x2 - X1
Substiue { x1 = 2
{ x2 = -4 Into m =3 - (-1)
{ y1 = -1 -4 - 2
{ y2 = - 3
Calculate and you get m = -2/3
Slope of the line that is perpendicular to m = -2/3 is m = 3/2
Substitute it: ( 2 - 4 -1 + 3 )
2 2
Calculate it 2 - 4
2
Simplify -2/2 and you get -1
Calculate -1 + 3
2
Simplify it 2/2 and you get 1
Rewrite solutions as coordinates: (-1 , 1)
Substitute { m = 3/2
{ x = -1
{y = 1
y = mx + b
Calculate 1 = 3/2 x (-1)= b and you get b = 5/2
Lastly Substitute { m = 3/2 into y = mx + b
{ b = 5/2
Answer: y +3x/2 + 5/2
The Price of a machine depreciates at the rate of ₹1500 per year. If it was bought for ₹15,800, what will be its price after 5 years?
Answer:
5th year= 9800
Step-by-step explanation:
1st year=15800
2nd=14300
3rd=12800
4th=11300
5th=9800
how to find the only one fake coin from 8 coins, which looks the same and you do not know whether the fake coin is heavier or lighter, in 3 weighs.
To find only one fake coin from 8 coins can be done in two weighings.
Divide the coins into three groups, A, B, and C, each consisting of three coins.
A and B are first weighed against one another. If the balancing scale is straight, fake coins belong in group C; otherwise, they belong in A or B, depending on which side of the scale is up.
Finding the lighter fake coin requires a second weighing if the first weighing indicates that the fake coins are in group C. Weigh any two phony coins from the group if A/B. The third coin is phony if the scale is balanced; else, choose the coin that is lighter.
For 3 weighing, make pair of 4 and followed by pair of 2 for the lighter group. At last, compare the last 2 coins to find the lighter coins.
8 → 4 →2 →1
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3. Ivan has completed 45% of his walk.
He has already walked 9 km. How much farther does he have left to walk?
Answer:
11
Step-by-step explanation:
The required distance left to the walk will be 11 km.
What is the percentage?The percentage is defined as a ratio expressed as a fraction of 100.
Let the total distance of the walk would be x km
As per the given information, the required solution would be as:
⇒ 45% of x = 9
45% is expressed as 45/100 in fractional form
⇒ (45/100)x = 9
45/100 is expressed as 0.45 in decimal form
⇒ 0.45x = 9
⇒ x = 9/0.45
⇒ x = 20
So the total distance of the walk is 20 km
Since he has already walked 9 km.
So, he has left to the distance of the walk = 20 - 9 = 11 km
Therefore, the required distance left to the walk will be 11 km.
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College Algebra Applied Problem Four A medical professional is helping an individual balance their diet. The individual has asked for some certain foods to remain in their diet. They will always get 600 calories from carbohydrates. The individual says that they can be flexible about how many calories they consume in fats and proteins. The goal of the diet is to keep the individual at 1,800 calories per day ( 600 of which come from carbohydrates). Part One Write an equation that models the amount of calories from fats " f ' and protein "p" that the individual can consume in order to reach 1,800 calories. Part Two The diet being prescribed to the individual calls for calories from protein to be three times the calories from fat. Write an equation based on this information that relates calories from protein "p" to calories from fat " f ". Part Three Use your equations from parts "b" and "c" to solve this system of equations and determine the amount of calories that the individual should consume from fats and proteins. Part Four If the individual no longer required 600 calories from carbohydrates, and instead said that they would be flexible about how many carbohydrates they would consume, how many variables would there be for this problem on calories?
The system equation that models the amount of calories from fats (f) and proteins (p) that the individual can consume to reach 1,800 calories is: f + p = 1,200. The equation that relates calories from protein (p) to calories from fat (f) based on the prescribed diet is: p = 3f. Solving the system of equations, we find that the individual should consume 300 calories from fats and 900 calories from proteins.
To find the equation that models the amount of calories from fats and proteins that the individual can consume in order to reach 1,800 calories, we consider that 600 calories will come from carbohydrates. Since the total goal is 1,800 calories, the remaining calories from fats and proteins should add up to 1,800 - 600 = 1,200 calories. Therefore, the equation is f + p = 1,200.
Based on the prescribed diet, the individual is required to consume calories from protein that are three times the calories from fat. This relationship can be expressed as p = 3f, where p represents the calories from protein and f represents the calories from fat.
To solve the system of equations, we substitute the value of p from the second equation into the first equation: f + 3f = 1,200. Combining like terms, we get 4f = 1,200, and dividing both sides by 4 yields f = 300. Substituting this value back into the second equation, we find p = 3(300) = 900.
Therefore, the individual should consume 300 calories from fats and 900 calories from proteins to meet the diet requirements and achieve a total of 1,800 calories.
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An architect’s scale model has been made for a new house. A scale of 1 cm represents 2.75 m was used. The model has a height of 4 cm, a length of 20cm and a width of 15 cm. Find the dimensions of the actual house.
Compute the following: StartFraction 7 factorial Over 3 factorial EndFraction a. 1680 b. 840 c. 21 d. 4
Answer:
B. 840
Step-by-step explanation:
Answer:) B
Step-by-step explanation:
In the psychoanalytic tradition, projection of feelings onto members by the leader is called:
a) Transference
b) Thantos
c) Countertransference
d) Analysis
In the psychoanalytic tradition, the projection of feelings onto members by the leader is called: c) Countertransference.
Countertransference refers to the phenomenon where a therapist or leader projects their own emotions, experiences, or unresolved issues onto the individuals they are working with. It is a concept rooted in Sigmund Freud's psychoanalytic theory and is an important aspect of the therapeutic relationship.
When a leader experiences countertransference, they may unconsciously attribute their own thoughts, feelings, or motivations to the members of their group. This projection can distort the leader's perception of the group members and influence their interactions and decision-making processes. It can also hinder the leader's ability to provide objective and unbiased guidance or support.
Countertransference can arise due to various reasons, such as personal history, unresolved conflicts, or parallel experiences with the group members. It is essential for leaders to be aware of their countertransference reactions and work through them to maintain professional boundaries and provide effective leadership.
By recognizing and addressing countertransference, leaders can gain insight into their own emotional reactions and separate them from the experiences of their group members. This self-awareness enables leaders to approach their role with greater objectivity, empathy, and understanding.
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Calculate the reliability of the following system:
0.90 0.90
0.90 0.90 0.85
0.85 0.85 0.92
The reliability of the given system is 0.4033.
To calculate the reliability of a system, we need to multiply the reliability values of all the components in the system. In this case, we have a system composed of three components with the following reliability values:
Component 1: 0.90
Component 2: 0.90 0.90 0.85
Component 3: 0.85 0.85 0.92
To find the overall system reliability, we multiply these values together:
System reliability = Component 1 reliability x Component 2 reliability x Component 3 reliability
System reliability = 0.90 x (0.90 x 0.90 x 0.85) x (0.85 x 0.85 *x 0.92)
System reliability ≈ 0.90 x 0.6831 x 0.6528 ≈ 0.4033
Therefore, the reliability of the given system is 0.4033.
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1.9% as a decimal it’s for math class
Answer:
0.019
Step-by-step explanation:
btw instead of wasting points you can look that up on g*oogle, goo*gle has a calculator that will help you find out decimals and percent's!
pieces of advice
can i have brainliest?
Answer:
0.019
Step-by-step explanation:
% divide by Hundred
HELP PLZ I NEED THIS DONE ASAP
\(\text{Given that,}\\\\y^2 +9y +3 \\\\\text{when}~ y = -2,\\\\(-2)^2 +9(-2) +3 = 4-18+3 = 7 -18 = -11,\)
Answer the question please!!!!!!
\(Simplify \: \: \\ ( \: a \: ) \: 287 \: \times \: 90 \\ ( \: b \: ) \: 105 \: \times 95\)
Answer:
a) 25830
b)9975
Step-by-step explanation:
a) 287
x 90
25830
b) 105
x 95
9975
In the International Grandmaster Championship, a total of 105 games were played where each team played exactly one game with all the other teams. How many teams were participating in the Championship?
Answer: 15 teams
Step-by-step explanation:
Total number of games played in the tournament = 105
Number of participating teams = p
Each team plays against every other team , then the total number of games played by each team = (p - 1) , since a team can't play itself
To obtain total number of games played =
(Number of teams × number of games played) [p × (p-1)]
However, the teams played against each other only once :
Therefore, total number of games played:
[p × (p-1)] / 2
Since we've been given the total number of games played :
[p × (p-1)] / 2 = 105
p × (p-1) = 105 × 2
p × (p-1) = 210
p^2 - p = 210
p^2 - p - 210 = 0
p^2 - 15p + 14p - 210 = 0
p(p - 15) +14(p-15) = 0
(p - 15) = 0 or (p + 14) = 0
p = 15 or p = - 14
Number of teams can't be negative
Therefore p = 15
Number of teams = 15
Please answer fast I will give Brainliest if you get correct.
Answer:
I dont about science btw so some one pls answer this
how many of each atom in the molecule cunh4cl3
Answer:
The chemical formula of Ammonium nitrate is NH4NO3. It consists of 2 nitrogen atoms, 3 oxygen atoms and 4 hydrogen atoms
Step-by-step explanation: 2.4088 x 10^24 atoms of H. Explanation: +5. how many hydrogen atoms are in one mole of CuNH4Cl3. 1 MOLECULE of CuNH4Cl3 contains 4 H
2.4088 x 10^24 atoms of H
I need actual help on this.
Answer:
the average rate of change is D. -4
What is the lateral area of the cone to the nearest whole number? The figure is not drawn to scale.
*
Captionless Image
34311 m^2
18918 m^2
15394 m^2
28742 m^2
Answer:
π(70)(√(70^2 + 50^2)) = π(700√74) m^3
= 18,918 m^3
The eccentricity of the conic section below is
A. Closer to 0 than 1
B. Closer to 1 then 0
The eccentricity of the conic section below is: A. closer to 0 than 1.
What is a conic section?In Euclidean geometry, a conic section can be defined as a curve that is generated as the intersection of the surface of a right circular cone with a plane.
In Mathematics, there are four (4) types of conic section and these include the following with their eccentricity:
Hyperbola: its eccentricity is greater than one (1).Parabola: its eccentricity is equal to one (1).Ellipse: its eccentricity is 0 < e < 1.Circle: its eccentricity is equal to zero (0).In this context, we can reasonably infer and logically deduce that the eccentricity of the conic section is closer to zero (0) than one (1) because it represents a circle.
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a rectangular warehouse will have 5000 square feet of floor space and will be separated into two rectangular rooms by an interior wall. the cost of the exterior walls is $140 per linear foot and the cost of the interior wall is $110 per linear foot. find the dimensions that will minimize the cost of building the warehouse.
x = 58.62 feet
y = 85.3 feet
Given that,
The cost of exterior walls is $140 per linear foot.
The cost of interior walls is $100 per linear foot.
xy = 5000
⇒ y = 5000/x
For the exterior walls, we have 2(x + y)(110)
For the interior wall, we have 100x
The cost function = C
⇒ C = 2(x + y)(110) + 100x
⇒ C = 220(x + y) + 100x
= 220x + 240y + 100x
= 320x + 240y
Recall that y = 5000/x
C = 320x + 220(5000/x)
C = 320x + 1100000/x
Differentiate C with respect to x
C'(x) = 320 - 1100000/x²
= (320x² -1100000) / x²
To minimize cost
C'(x) = 0
(320x² -1100000) / x² = 0
320x² -1100000 = 0
⇒ 320x² = 1100000
⇒ x² = 1100000/320
⇒ x = √1100000/320
⇒ x = 58.62 feet
Recall that y = 5000/x
y = 5000/58.62
y = 85.3 feet
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Factor the expression to fill in the blank.
48 + 96 = ? (1 + 2)
Answer:
48
Step-by-step explanation:
48+96 =144
x * (1+2) = 3x = 144
so x = 48
Use Y = (X - Xo)m to solve the given differential equation_ (x + 8)2y" _ B(x + 8)y' 14y = 0 y(x)=
The solution to the given differential equation is y = C₁ * (x + 8)⁻² + C₂ * (x + 8)⁻⁷ where C₁ and C₂ are constants determined by the initial or boundary conditions.
To solve the given differential equation, (x + 8)²y" - B(x + 8)y' + 14y = 0, using Y = (X - X₀)m, follow these steps:
1. Substitute Y = (X - X₀)m into the differential equation: (X - X₀ + 8)^2m" - B(X - X₀ + 8)m' + 14m = 0.
2. Solve for m: m" - (B/((X - X₀) + 8))m' + (14/((X - X₀) + 8)²)m = 0.
3. Find the general solution for m: m = C₁\(e^(r1X)\) + C₂\(e^(r2X)\), where r₁ and r₂ are the roots of the characteristic equation, and C₁ and C₂ are constants.
4. Determine the roots of the characteristic equation: r₁ and r₂.
5. Substitute the roots into the general solution for m.
6. Finally, substitute m back into the original substitution, Y = (X - X₀)m.
y(x), will be a function involving the roots, r₁ and r₂, and constants C₁ and C₂. The explanation involves substituting Y = (X - X₀)m into the differential equation, solving for m, finding the general solution for m, determining the roots of the characteristic equation, and substituting the roots back into the original substitution to find y(x).
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U is the midpoint of TV. If TU = 6x and TV = 11x + 8, what is TV?
T
6x
V
11x + 8
Simplify your answer and write it as a proper fraction, mixed number, or integer.
Answer:
96
Step-by-step explanation:
U is the midpoint of TV, so mTU is half of mTV or mTV = 2 * mTU, so
mTV = 2 * mTU
11x + 8 = 2 (6x)
11x + 8 = 12x
8 = x
mTV = 11x + 8 = 11(8) + 8 = 88 + 8 = 96
Help please! Write the function x^3 - 6x^2 - x + 30 in factored form knowing that one of the roots is 5
Group of answer choices
(x - 5)(x -2)(x + 3)
(x + 5)(x - 2)(x + 3)
(x + 5)(x + 2)(x - 3)
(x - 5)(x + 2)(x - 3)
The required factors of the given expression x³ - 6x² - x + 30 is (x - 5)(x + 2)(x -3).
What are the factors?A number or algebraic expression that evenly divides another number or expression—i.e., leaves no remainder—is referred to as a factor.
Here,
Gien expression,
= x³ - 6x² - x + 30
= (x - 5)(x + 2)(x -3)
Thus, the required factors of the given expression x³ - 6x² - x + 30 is (x - 5)(x + 2)(x -3).
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Diane has 1516 cup of butter. a recipe for a cake calls for 14 cup of butter. diane was able to make 3 whole cakes.how much butter will she have left over? write and evaluate an expression to represent this problem.
Answer:
Amount of butter left= 3/16 cups
Step-by-step explanation:
explanation: Given: Total amount of butter = 15/16
Each cake needs butter = 1/4
Total cake = 3
Find: amount of butter left
Computation: amount of butter left = total amount of butter - [each cake needs butter] [total cake] amount of butter left = 15/16 - [3] [1/4]
Amount of butter left = 3/16 cups
Please answer the question below. Please and thank you!
Answer:
1. -2/3 (-0.66666)
2. 45% (-0.45)
3. 5.1% (0.051)
4. 0.053 (0.053)
Step-by-step explanation:
Hope this helped!
Choose the best interpretation of these data: the correlation coefficient between number of hours of studied and the score on a test is r = .59.
1.More study leads to a higher score on the test.
2. There is a direct relationship between number of hours studied and the score on the test.
3. More study leads to a lower score on the test.
4. There is an indirect relationship between number of hours studied and the score on the test.
The best interpretation of these data is that there is a direct relationship between number of hours studied and the score on the test.
The correlation coefficient r measures the strength and direction of a linear relationship between two variables. In this case, the positive value of r = .59 indicates a direct (or positive) relationship between number of hours studied and the score on the test. This means that as the number of hours studied increases, the score on the test tends to increase as well.
Therefore, we can conclude that more study leads to a higher score on the test.
Option 1 and 2 are correct interpretations, while options 3 and 4 are incorrect. Option 3 implies a negative correlation coefficient, while option 4 implies an inverse relationship between the variables, which is not the case here.
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m/PQS = (3x-3)* and m/RQS = (x+19)". Find the value of x.
Answer:
M/paws= (3x-3) and m/rqs
=(x+19).
the value of x is
Step-by-step explanation:
Assume the results of a an empirical study reveal the following: n= 250, sample mean = 140, sample standard deviation =22. The standard error of the sample mean is closest to 1.39 22 2.72 14
The standard error of the sample mean can be calculated by dividing the sample standard deviation by the square root of the sample size. Therefore, the standard error is approximately 22 divided by the square root of 250, which is approximately 1.39. Hence, the correct answer is 1.39.
To calculate the standard error of the sample mean, we divide the sample standard deviation by the square root of the sample size. In this case, the sample mean is 140 and the sample standard deviation is 22. Therefore, the standard error can be calculated as 22 divided by the square root of 250.
The square root of 250 is approximately 15.81, so the standard error is approximately 22 divided by 15.81, which is approximately 1.39.
The standard error represents the variability of the sample mean from sample to sample. A smaller standard error indicates less variability and greater precision in estimating the population means.
Therefore, the standard error of the sample mean in this case is approximately 1.39.
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Mari spends $6 on cheese for a party she also plans to buy b boxes of crackers that cost $3 per box
Answer:
The answer is 6+3b<or equal to 15
Step-by-step explanation: