Answer:no
Step-by-step explanation:1:4 is not equivalent to 3:5
13. Measuring bone density Individuals with low bone
density have a high risk of broken bones (fractures).
Physicians who are concerned about low bone density
(osteoporosis) in patients can refer them for special-
ized testing. Currently, the most common method for
testing bone density is dual-energy X-ray absorptiom-
etry (DEXA). A patient who undergoes a DEXA test
usually gets bone density results in grams per square
centimeter (g/cm²) and in standardized units.
7.
Judy, who is 25 years old, has her bone density
measured using DEXA. Her results indicate a bone
density in the hip of 948 g/cm² and a standardized
score of z = -1.45. In the reference population of
25-year-olet women like Judy, the mean bone density
in the hip is 956 g/cm².6
(b) Use the information provided to calculate the standard
deviation of bone density in the reference population.
Using the normal distribution, the standard deviation of bone density in the reference population is of 5.52 g/cm².
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.For this problem, the parameters are given as follows:
[tex]X = 948, z = -1.45, \mu = 956[/tex]
Hence we solve for [tex]\sigma[/tex] to find the z-score as follows:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-1.45 = \frac{948 - 956}{\sigma}[/tex]
[tex]-1.45\sigma = -8[/tex]
[tex]\sigma = \frac{8}{1.45}[/tex]
[tex]\sigma = 5.52[/tex]
The standard deviation of bone density in the reference population is of 5.52 g/cm².
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Which graph displays the solution to 2 − x < −8?
Answer:
D
Step-by-step explanation:
x>10 is your answer. since theres no less than or greater or equal to c and B are automatically out. x>10 says x is greater then 10 so it is D
Its B, always remember to check if the dot is opened or closed on the line!!
must first specify a coordinate system in order to find the components of each arrow.) this problem gives you some practice with the components. let vectors a⃗
The calculated vectors are:
[tex]\vec{A}-\vec{B}[/tex]=(3,-5,-4)
[tex]\vec{B}-\vec{C}[/tex]=(-5,4,0)
[tex]-\vec{A}+\vec{B}-\vec{C}[/tex]=(-6,4,3)
[tex]3 \vec{A}-2 \vec{C}[/tex]=(-3,-2,-11)
Calculate the following, and express your answers as ordered triplets of values separated by commas.?Generally, the equation for is mathematically given a
[tex]\vec{V}+\vec{W}=\left(V_1, V_2, V_3\right)+\left(W_1, W_2, W_3\right)\\\\\vec{V}+\vec{W}=\left(V_1+W_1, V_2+W_2, V_3+W_3\right) \text { }[/tex]
[tex]\vec{V}-\vec{W}=\left(V_1, V_2, V_3\right)-\left(W_1, W_2, W_3\right)\\\\\vec{V}-\vec{W}=\left(V_1-W_1, V_2-W_2, V_3-W_3\right)[/tex]
[tex]\alpha \cdot \vec{V}=\alpha \cdot\left(V_1, V_2, V_3\right)\\\\\alpha \cdot \vec{V}=\left(\alpha \cdot V_1, \alpha \cdot V_2, \alpha \cdot V_3\right)[/tex]
[tex]\vec{A}-\vec{B}=(1,0,-3)-(-2,5,1)\\\vec{A}-\vec{B}=(3,-5,-4) \\\\&\vec{B}-\vec{C}=(-2,5,1)-(3,1,1)\\&\vec{B}-\vec{C}=(-5,4,0) \\\\&-\vec{A}+\vec{B}-\vec{C}=-(1,0,-3)+(-2,5,1)-(3,1,1)\\-\vec{A}+\vec{B}-\vec{C}=(-6,4,3) \\\\&3 \vec{A}-2 \vec{C}=3(1,0,-3)-2(3,1,1)\\3 \vec{A}-2 \vec{C}=(3,0,-9)-(6,2,2)\\3 \vec{A}-2 \vec{C}=(-3,-2,-11)[/tex]
In conclusion,
[tex]\vec{A}-\vec{B}[/tex]=(3,-5,-4) [tex]\vec{B}-\vec{C}[/tex]=(-5,4,0) [tex]-\vec{A}+\vec{B}-\vec{C}[/tex]=(-6,4,3) [tex]3 \vec{A}-2 \vec{C}[/tex]=(-3,-2,-11)Read more about Vectors
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CQ
In general it is best to conceptualize vectors as arrows in space, and then to make calculations with them using their components. (You must first specify a coordinate system in order to find the components of each arrow.) This problem gives you some practice with the components. Let vectors A rightarrow = (1,0, -3), rightarrow = (-2,5,1), and C rightarrow = (3,1,1). Calculate the following, and express your answers as ordered triplets of values separated by commas.
a pie-shaped (triangular) lake-front lot has a perimeter of 1300 feet. one side is 100 feet longer than the shortest side, while the third side is 300 feet longer than the shortest side. find the lengths of all three sides.
The lengths of the three sides of the triangular lot are: 100 feet, 200 feet and 400 feet.
What is a triangle and its perimeter?
A triangle is a polygon with three edges and three vertices.
Given:
Perimeter of triangular lot = 1300 feetOne side is 100 longer than the shortestOther is 300 feet longer than the shortest.To find: All the sides of the triangular lot.
FInding:
Let the shortest side of the triangular lot be 'x'.
Then, according to the question, one side of the triangular lot = 100 + x and other = 300 + x
As perimeter of a triangle = sum of all the sides,
=> 1300 = x + 100 + x + 300 + x
=> 1300 - 400 = 3x
=> 900 = 3x
=> 300 = x
Hence, the shortest side = 100 feet, a longer side = 200 feet, the longest side = 400 feet for the given triangular lot.
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Tony's Carnival charges $25 to enter the park and $4.50 per ride. Ride Palace charges $18 to enter the park and $5 per ride. How many rides do you need to ride for the cost of each park to be the same?
Answer:
14
Step-by-step explanation:
Let x = number of rides.
Tony's cost: 4.5x + 25
Ride's cost: 5x + 18
Set the prices equal and solve for x.
5x + 18 = 4.5x + 25
Subtract 4.5x from both sides.
0.5x + 18 = 25
Subtract 18 from both sides.
0.5x = 7
Multiply both sides by 2.
x = 14
Answer: 14
|60| ___ |-60|
=
<
>
Answer:
|60| = |-60|
Step-by-step explanation:
Now the value of,
→ |60| = 60
→ |-60| = 60
Then the sign will be,
→ |60| = |-60|
→ 60 = 60
Hence, the sign is (=).
Triangle ABC has its vertices at the following coordinates:
A(-4, 1) B(0, 2) C(-11, 3)
Give the coordinates of the image triangle A'B'C' after a 90° counterclockwise rotation about the origin.
Using translation concepts, the coordinates of the image of the triangle are given as follows:
A'(-1,-4), B'(-2,0), C'(-3, -11).
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
The rule for a 90° counterclockwise rotation about the origin is given as follows:
(x,y) -> (-y,x).
Hence the coordinates of the image of the triangle are given as follows:
A': (-4, 1) -> (-1, -4).B': (0, 2) -> (-2,0).C': (-11, 3) -> (-3, -11).More can be learned about translation concepts at https://brainly.com/question/4521517
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Write the equation of the given circle.
center at origin, d=12
Solve the absolute value equation - 5 | x + 1 | + 2 = 12 if there is no solution, state no solution
Answer:
Let's solve your equation step-by-step.
−5(|x+1|)+2=12
Step 1: Add -2 to both sides.
−5(|x+1|)+2+−2=12+−2
−5(|x+1|)=10
Step 2: Divide both sides by -5.
−5(|x+1|)
−5
=
10
−5
|x+1|=−2
Step 3: Solve Absolute Value.
|x+1|=−2
No solutions. (Absolute value cannot be less than 0.)
Step-by-step explanation:
v = u + at
u = 2 a = -7 t = 0.5
whats v
Answer:
A= 3. 5 u=7 t=0.5
Step-by-step explanation:
It will be 8.75
erik went to the store and bought 4.8 pounds of chocolate covered almonds and 3.7 pounds of yogurt covered almonds how much did he spend
Answer: svsdvcvsdvsdvsdv
vdsvds
Step-by-step explanation:
ght 4.8 pounds of chocolate covered almonds and 3.7 pounds of yogurt covered almonds how much did he spend
Answer:
43.6
Step-by-step explanation:
Suppose the cost in dollars of producing x model kits is
given by the polynomial 500,000 + 2x and the revenue generated from sales is
given by the polynomial 30x - 0.00005 x^2 . Find a polynomial expression for the
profit from making and selling x model kits. Then evaluate the expression for
x = 300,000.
Answer:
1100000
Step-by-step explanation: If x = 300,000, that means 2x is 2 x 300,000, and that makes the equation 500,000 + ( 2 x 300,00). Please don't judge me, I am only in 7th grade. Thank you.
The polynomial expression for the profit from making and selling x model kits is 28x - 500,000 - 0.00005 x² and the profit is 3400000.
What is a polynomial?Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.
[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]
It is given that:
Suppose the cost in dollars of producing x model kits is given by the polynomial 500,000 + 2x and the revenue generated from sales is given by the polynomial 30x - 0.00005 x².
The profit = revenue - cost
The profit = (30x - 0.00005 x²) - (500,000 + 2x)
The profit = 30x - 0.00005 x² - 500,000 - 2x
The profit = 28x - 500,000 - 0.00005 x²
Plug x = 300,000 in the profit expression.
The profit = 3400000
Thus, the polynomial expression for the profit from making and selling x model kits is 28x - 500,000 - 0.00005 x² and the profit is 3400000.
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exercise 5.3.1. recall from exercise 4.4.9 that a function f : a → r is lipschitz on a if there exists an m > 0 such that ∣∣∣∣ f(x) − f(y) x − y ∣∣∣∣ ≤ m for all x ?
If f is differentiable on a closed interval [a,b] and if f' is continuous on the interval [a,b], Then f is Lipschitz on [a,b].
What is a Lipschitz function?
If a neighborhood U of x exists for any x in X such that f restricted to U is Lipschitz continuous, then the function is said to be locally Lipschitz continuous. Alternatively, f is locally Lipschitz if and only if it is Lipschitz continuous on each compact subset of X if X is a locally compact metric space.
Now,
Assume that f can be differentiated and that f' is continuous on [a,b]. Therefore, f' is bounded since [a,b] is compact. In other words, for all x [a,b] there exists M > 0 such that: |f'(x)| ≤ M.The Mean Value Theorem therefore ensures that there exists c between x and y such that: [tex]|\frac{f(x)-f(y)}{x-y}|=|f'(c)|\leq M[/tex], for each x,y ∈[a,b].Given that x and y were chosen at random, we can infer that f is Lipschitz on [a,b] since the inequality: [tex]|\frac{f(x)-f(y)}{x-y}|\leq M[/tex], holds for all x,y ∈ [a,b].Hence, If f is differentiable on a closed interval [a,b] and if f' is continuous on the interval [a,b], Then f is Lipschitz on [a,b].
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Please can you answer this for me, I will mark you as the brainliest
Answer:
Area of the shaded region is 53.47 square yd
30 points for anyone who solves this
Answer: The answer is 2 1/12
Step-by-step explanation:
A cube is made for 1 million cubic centimeters e What is the length of the side of the cube in centimeters?
The length of the side of the cube is 100 centimeters
How to determine the length
The formula for volume of a cube is expressed as:
Volume, V = a³
Where a is the length of its side
Given that the volume is 1 million cubic centimeters = 1, 000, 000
Substitute the values
1, 000, 000 = a³
Find the cube root of both sides
a = ∛10^6
a = 100 centimeters
Thus, the length of the side of the cube is 100 centimeters
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Mariko has an 80:1 scale drawing of the floor plan of her house. on the floor plan the dimensions of her rectangular living room are 1 and 7/8 inches by 2 and 1/2 inches.
What is the area of her real living room in square feet?
In the language of functions, all of the following are true except one. Identify the false statement.
The dependent variable (output) is a function of the independent variable (input).
The phrase DEPENDENT VARIABLE means output.
The phrase INDEPENDENT VARIABLE means input
The input is determined by the output
1........answe is 1............
Find the slope of the line
Answer:
-2/3
Step-by-step explanation:
(x1, y1) = (4, 1)
(x2, y2) = (1, 3)
m = (y2 - y1) / (x2 - x1) = (3 - 1) / (1 - 4) = 2 / (-3) = -2/3
Note that we used the point with the bigger x as the "first" point. It does not change the result.
3. Maria Whetstone, a heating technician, has a gross weekly income of $502.16. Her earnings to date for this year are $20,086.40. How much is deducted from her paycheck this week for Social Security? How much for Medicare?
Deducted from her paycheck this week for Social Security is $31.13.Medicare is equal to $7.28.
Maria Wehstone, Gross weekly income = 502.16 and annual earnigs till date = 20,086.40
Deduction for this week for social security = 6.20% of 502.16$ = $31.13
Deduction for this week for Medicare = 1.45% of 502.16$ = $7.28
Social security is the safety net that a society offers to people and families to ensure that they have access to health care and to assure financial stability, particularly in circumstances of old age, unemployment, illness, invalidity, work injuries, maternity, or the death of a primary earner.
Based on their career earnings, Social Security replaces a portion of your pre-retirement income. Depending on how much you earn and when you decide to begin receiving benefits, Social Security replaces a different percentage of your pre-retirement income depending on your top 35 years of earnings.
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The price of a shirt is marked down from $12.59 to $10.00 what percent is decrease of the shirt
The percentage by which the price of the shirt is decreased is 20%.
What is the percentage?In mathematics, a percentage is a number or ratio expressed as a fraction of 100. The abbreviation "pct.", "pct," and sometimes "pc" is also used. A percentage is a dimensionless number with no unit of measurement.So, the price of a shirt is marked down from $12.50 to $10.00.
Previous price = $12.50New price = $10.00Then,
Change in price = Previous price - New price= $12.50 - $10.00= $2.50Now, the shirt's percentage has decreased:
(Change in price)/(Previous price) ×100
Therefore, the percentage by which the price of the shirt is decreased is 20%.
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The larger bag of ferret food is on sale at the SuperPetMart
for $89. Ferroza made the following table. Explain to
Ferroza why the cost of food at SuperPetMart is not a
proportional relationship.
Ferret Food
Weight
(pounds)
0
5
30
Cost
($)
$0
17.50
89
Relationships that have a uniform or constant rate are said to be proportional relationships. Because it does not employ a uniform rate, the price of food does not follow a proportional connection.
The missing table looks like this:
Bag cost
0 0
5 17.5
30 89
First, we calculate the slope (m) of the table using:
(x₁ y₁) = (0,0)
(x₂ y₂) = (5,17.5)
m₁=(y₂-y₁)/(x₂ -x₁)
m₁=(17.5-0)/(5-0)
m₁=3.5
The slope for the following points
(x₁ y₁) = (0,0)
(x₂ y₂) = (30,89)
m₂=(y₂-y₁)/(x₂ -x₁)
m₂=(89-0)/(30-0)
m₂=2.97
3.5 ≠2.97
Hence, the cost of food is not a proportional relationship because it does not use a uniform rate.
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An opaque bag contains 22 yellow marbles and 11 teal marbles. if two marbles are randomly chosen from the bag at the same time, find the probability that both marbles are teal. round your answer to four decimal places.
If two marbles are randomly chosen from the bag contains 22 yellow marbles and 11 teal marbles, then the probability that the both marbles are teal is [tex]\frac{10}{99}[/tex]
Given,
The number of yellow marbles = 22
Number of teal marbles = 11
Total number of marbles = 22+11= 33 marbles
Then two marbles are chosen randomly
We know,
The probability = Number of favorable outcomes/ Total outcomes
Probability that first marble is teal =[tex]\frac{11}{33}[/tex]=[tex]\frac{1}{3}[/tex]
Probability that second marble is teal =[tex]\frac{10}{33}[/tex]
Here we are considering without replacement
Then the probability that both marbles are teal = [tex](\frac{1}{3})(\frac{10}{33})=\frac{10}{99}[/tex]
Hence, if two marbles are randomly chosen from the bag contains 22 yellow marbles and 11 teal marbles, then the probability that the both marbles are teal is [tex]\frac{10}{99}[/tex]
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What is the equation of the line that passes through the point (3,-4) and has a
slope of -5/3?
Answer:
y = -5/3x + 1
Step-by-step explanation:
as the photo saying
bailey has 40 minutes to exercise.it takes bailey 3 minutes to jog around the track and 5 minutes to stretch. she jogs 6 laps around the track and stretches 2 times what is the experssion for this problem?
A truck can be rented from Company A for $130 a day plus $0.30 per mile. Company B charges $70 a day plus $0.60 per mile to rent the same truck. Find the number of miles in a day at which the rental costs for Company A and Company B are the same.
Considering the definition of an equation and the way to solve it, the number of miles in a day at which the rental costs for Company A and Company B are the same is 200.
Definition of equationAn equation is the equality existing between two algebraic expressions connected through the equals sign in which one or more unknown values, called unknowns, appear.
The members of an equation are each of the expressions that appear on both sides of the equal sign.
The solution of a equation means determining the value that satisfies it. To solve an equation, keep in mind:
When a value that is adding, when passing to the other member of the equation, it will subtract.If a value you are subtracting goes to the other side of the equation by adding.When a value you are dividing goes to another side of the equation, it will multiply whatever is on the other side.If a value is multiplying it passes to the other side of the equation, it will pass by dividing everything on the other side.Number of miles in this caseFirst, you define the variable "m" as the number of miles rented from a truck to a company in a day. You know that:
A truck can be rented from Company A for $130 a day plus $0.30 per mile. Company B charges $70 a day plus $0.60 per mile to rent the same truck.So the price of each company is:
Price of company A=130 + 0.30mPrice of company B=70 + 0.60mIf the rental costs for Company A and Company B are the same, the equation in this case is:
Price of company A= Price of company B
130 + 0.30m= 70 + 0.60m
Solving:
130 - 70= 0.60m - 0.30m
60= 0.30m
60÷0.30= m
200= m
In summary, the number of miles in a day at which the rental costs for Company A and Company B are the same is 200.
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You are solving a measurement problem where the numbers 2.058 × 10^9 and 3.0571 × 10^−4 are divided. How many significant digits should the quotient have?
Based on the numbers being divided, the number of significant digits that the quotient should have is 4 significant digits.
How many significant digits should be seen?The number of significant digits from a quotient where numbers divided each other should be the significant digits in the number with the smaller number of significant digits.
The number with the lower significant digits here is 2.058 × 10^9.
In this number, there are 4 significant digits because 0 is between non zero numbers.
The quotient would therefore have 4 significant digits.
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In a 5000 m race on a 400 m track, each athlete must run 12 ½ laps. kara runs the race at a constant pace and finishes in 17.5 min, while hannah runs at a faster pace and finishes 15.3 min. in fact, hannah ran fast enough that she passed kara during the race. how many laps had hannah run when she caught and passed kara?
Hannah had run 6 complete laps and is running the 7th lap when she surpasses the athlete Kara.
Who is an athlete?An athlete (sometimes known as a sportsman or sportswoman) is a person who participates in one or more sports that require physical stamina, speed, or strength.
Professional and amateur athletes both exist. The majority of elite athletes have extremely well-developed bodies because to rigorous physical training, stringent exercise, and a tight food regimen.
Isotonic exercisers had a greater mean left ventricular end-diastolic capacity and are less prone to experience depression. Athletes are far more prone than the general public to go to massage parlors and pay for the services of massotherapists and masseurs due to their demanding physical activity. Athletes whose sport favors endurance over strength typically consume less calories than other athletes.
Calculations:
Total length of the race (L) = 5000 m
Time taken by Kara (tk) = 17.9 min = 1074 s
Kara's speed (vk) = L/tk = 5000/1074 m/s
Time taken by Hannah (th) = 15.3 min = 918 s
Hannah's speed (vh) = L/th = 5000/918 m/s
Let the number of laps Hannah had run when she passes Kara be n
Distance travelled by Hannah in this time = n*400 = 400n meters
Time taken by Hannah to run n laps = 400n/(5000/918)=367200n/5000=73.44n
Distance travelled by Kara in this time = (n-1)*400 = 400n - 400 meters
Time taken by Kara to run (n-1) laps = (400n-400)/(5000*1074)=(429600n-429600)/5000=85.92n-85.92
= 85.92n - 85.92 = 73.44n
= 12.48n = 85.92
= n = 6.88
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how to solve this with steps?
Answer:
its at simplest form
Step-by-step explanation:
Answer:
6x + 9 = 75
explantion : in the photo just writing this so brainly could let me post the picture but here you go
A rectangular garage is 13 yards long and 7 yards wide. It costs $3.00 per square yard to put in a new concrete floor. How much would it cost to put a new concrete floor in the garage?
Answer:
it's B
Step-by-step explanation:
after a long section it is B