The arrangement of the fractions given from the lowest to the highest is illustrated
How to illustrate the information?a. 1/2, 3/4, 5/10, 9/20.
We can change this to percentages.
1/2 = 1/2 × 100 = 50%
3/4 = 3/4 × 100 = 75%
5/10 = 5/10 × 100 = 50%
9/20 = 9/20 × 100 = 45%
Therefore, the arrangement will be 9/20, 5/10, 1/2, and 3/4.
b. 3/8, 1/15, 3/20, 9/10
3/8 = 37.5%
1/15 = 6.67%
3/20 = 15%
9/10 = 90%
The arrangement will be 1/15, 3/20, 3/8, and 9/10.
c. 7/9, 1/3, 5/6, 3/4
7/9 = 77.7%
1/3 = 33.3%
5/6 = 82%
3/4 = 75%
The arrangement will be 1/3, 3/4, 7/9, and 5/6.
d.3/12, 1/5 7/15 1/20
3/12 = 25%
1/5 = 20%
7/15 = 48%
1/20 = 5%
The arrangement will be 1/20, 1/5, 3/12, and 7/15.
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need answer asap
Graph y <1- 3x
\(y < -3x+1\)
Graph below:
Which classification best represents a triangle with side lengths 6 cm, 10 cm, and 12 cm?
acute, because 62 + 102 < 122
acute, because 6 + 10 > 12
obtuse, because 62 + 102 < 122
obtuse, because 6 + 10 > 12
Answer:
obtuse because 62 + 102 < 122
S
its c, obtuse, becuase 6^2+10^2<12^2
Find the midpoint of the line segment with the given endpoints.
(-4,7), (3,8)
Answer:
(-1/2,15/2)
Step-by-step explanation:
let(-4,7)=(x1,y1)
(3,8)=(x2,y2)
Then,
Using midpoint formula,
Midpoint(x,y)=((x1+x2)/2,(y1+y2)/2)
=((-4+3)/2,(7+8)/2)
=(-1/2,15/2)
Thus,midpoint(x,y)=(-1/2,15/2)
if x is a discrete uniform random variable ranging from one to eight, find p(x < 6).
The probability that x is less than 6 is 5/8.
If x is a discrete uniform random variable ranging from one to eight, then each value from one to eight is equally likely to occur, and the probability of any particular value is 1/8.
To find p(x < 6), we need to add up the probabilities of all the values of x that are less than 6:
p(x < 6) = p(x = 1) + p(x = 2) + p(x = 3) + p(x = 4) + p(x = 5)
Since x is a discrete uniform random variable, the probability of each of these values is 1/8, so we can substitute that into the equation:
p(x < 6) = (1/8) + (1/8) + (1/8) + (1/8) + (1/8)
Simplifying, we get:
p(x < 6) = 5/8
Therefore, the probability that x is less than 6 is 5/8.
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According to the sliding filament model, which of these gets shorter during muscle contraction? (choose all that apply)
The required result of the sliding filament model given below.
What is the sliding filament model?The mechanism by which muscles contract is described by the sliding filament model. Actin and myosin myofilaments move over one another as a result of a cycle of repeated occurrences, constricting the sarcomere and creating tension in the muscle.
The A band is the middle, darkly pigmented area of the sarcomere that runs the entire length of the thick filaments. The portion of the thin filaments that cross over the thick filaments is also included. The I band is formed by the remaining thin filaments within the sarcomere but not by any thick filaments. Each A band has a narrow region in the middle called the H zone, which is made up entirely of dense filaments.
Myosin heads pull the thin filaments in the direction of the M line during muscle contraction. Because of this, the thin filaments glide inward, allowing their ends to overlap and connect at the sarcomere's core. The I band and H zone become smaller as a result.
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find the mass of a lamina bounded by y = 2 √ x , x = 1 , and y = 0 y=2x,x=1,and y=0 with the density function σ ( x , y ) = x 3 σ(x,y)=x 3 . round your answer to four decimal places.
The mass of the lamina is: mass ≈ 0.4444. To find the mass of the lamina, we need to integrate the density function over the given bounds: m = ∫∫ σ(x,y) dA.
We can express the bounds in terms of x and y as follows:
0 ≤ y ≤ 2√x
1 ≤ x ≤ 2
Therefore, the double integral becomes:
m = ∫₁² ∫₀^(2√x) x³ dy dx
Integrating with respect to y first, we get:
m = ∫₁² x³(2√x) dx
m = 2∫₁² x⁵/2 dx
m = 2/7 [x⁷/2]₁²
m = 2/7 (2⁷/2 - 1⁷/2)
m = 2/7 (64 - 1)
m = 2/7 * 63
m = 18
Therefore, the mass of the lamina is 18 units, rounded to four decimal places.
To find the mass of the lamina, we need to integrate the density function over the region bounded by the given curves. The region is defined by y = 2√x, x = 1, and y = 0.
First, let's find the limits of integration. Since x = 1 is an upper bound, and y = 0 is a lower bound:
0 ≤ y ≤ 2√x and 0 ≤ x ≤ 1
Now, we can set up the double integral for mass:
mass = ∫∫_R (σ(x, y) dA) = ∫(x=0 to 1) ∫(y=0 to 2√x) (x^3 dy dx)
Next, integrate with respect to y:
= ∫(x=0 to 1) [x^3 * y] (from y=0 to 2√x) dx
Now substitute the limits of integration for y:
= ∫(x=0 to 1) (x^3 * 2√x - x^3 * 0) dx
Simplify:
= ∫(x=0 to 1) (2x^(7/2)) dx
Now integrate with respect to x:
= [4/9 * x^(9/2)] (from x=0 to 1)
Substitute the limits of integration for x:
= 4/9 * (1^(9/2) - 0)
Finally, the mass of the lamina is:
mass ≈ 0.4444
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researchers recruited over 1{,}0001,0001, comma, 000 patients with chronic back pain to participate in a study about the benefits of acupuncture. each subject was randomly assigned to one of these treatment plans: traditional chinese acupuncture, placebo acupuncture, and conventional pain treatment (medication and physical therapy). what is the primary purpose of randomly assigning subjects to the different treatment plans?
Accupunture is best these days for medication and health therapy.
What is accupunture.?Acupuncture is a traditional medical practice in which a doctor inserts needles into certain body parts of a patient. The earliest documents date back at least 2,500 years. [1] "Acupuncture points" are locations on the body where tiny metal needles are inserted. It is a type of complementary medicine[2], and it is fundamental to Traditional Chinese medicine[3] (TCM). [4] It makes use of the yin and yang principle.It is debatable and has yielded conflicting findings to research acupuncture using the concepts of "evidence-based medicine" (science research). [9] Although the majority of research indicates that acupuncture's effects are primarily attributable to placebo, certain studies indicate that acupuncture can reduce pain. [10] There is evidence that any advantages of acupuncture are transient. [11] When compared to conventional medical therapies, there is inadequate evidence to justify the use of acupuncture. [12] In the long run, acupuncture is not more effective than conventional medicine. [13]Learn more about accupunture click here:
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A force of 6 lb is required to hold a spring stretched 2 in. beyond itsnatural length. How much work W is done in stretching it from its natural length to 8 in. beyond its natural length?W = ft-lb
The work done in stretching the spring from its natural length to 8 in beyond its natural length is 96 lb-ft (ft-lb).
We know that, F = 6 lb is required to hold a spring stretched 2 in beyond its natural length.
We are to find the work done in stretching it from its natural length to `8 in` beyond its natural length.
We use the formula below to find the work done:
W = ∫Fdx where,
W is the work done,
F is the force and
x is the distance through which the force acts.
Using this formula, we have;
W = ∫Fdx
W = ∫(kx) dxsince,
the force F acting on a spring is directly proportional to the extension x from its natural length.
Hence, we write F = kx. Where k is the spring constant.
Substituting the values given in the question, we get;
W = ∫(kx)dx
W = k/2 x^2
Now, F = 6 lb is required to hold a spring stretched 2 in beyond its natural length.
Thus, k can be calculated using Hooke's law which states that;
F = kx
So, k = F/x
= 6/2
= 3
The work done W in stretching the spring from its natural length to 8 inches beyond its natural length is given by;
W = k/2 x^2
W = 3/2 (8^2 - 0^2)
W = 3/2 (64)
W = 96 lb-ft (ft-lb)
Hence, the work done in stretching the spring from its natural length to 8 in beyond its natural length is 96 lb-ft (ft-lb).
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PLEASE HELP
The regular price on a pair of jeans is $54.
The store advertises a back-to-school sale at 40% off the regular price of the jeans.
Two weeks later, the store advertises a sale at an additional off the sale price of
these jeans.
5
Two friends decide to purchase the jeans. Shannon says that the jeans are now 60%
off the regular price. Mary disagrees because she figures that the total discount is actually
less than 60%.
1. What is the cost of the jeans at the back-to-school sale?
2. What is the cost of the jeans dufing the additional " off sale? Justify your reasoning.
3. Shannon says, Calculating 86/9P isthe same as calculating A0% of, then 20% off of the new price:
Mary Disagrees and says, "Calculating 40% off, then 20% off is NOT the same as calculating 60% off."
Who do you agree with and why? Defend your argument with mathematical reasoning.
We can conclude that -
The cost of the jeans at the back-to-school sale is $32.4.The cost of the jeans dufing the additional " off sale is $30.78.The conclusion made by Manny is correct.What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.
Given is that the regular price on a pair of jeans is $54. The store advertises a back-to-school sale at 40% off the regular price of the jeans. Two weeks later, the store advertises a sale at an additional off the sale price of these jeans at 5%.
Original price -
$54
Cost after 40% discount -
54 - {40% of 54}
54 - {40/100 x 54}
54 - {2/5 x 54}
54 - 21.6
$32.4
Cost after 5% discount -
32.4 - {5% of 32.4}
32.4 - {5/100 x 32.4}
32.4 - 1.62
$30.78
{ 3 } -
Calculating 60% of new price -
60% of 30.78
(60/100) x 30.78
18.5
Calculating 40% of new price -
40% of 30.78
(40/100) x 30.78
12.4
So, 60% of new price is greater than calculating 40%.
So, Manny is correct.
Therefore, we can conclude that -
The cost of the jeans at the back-to-school sale is $32.4.The cost of the jeans dufing the additional " off sale is $30.78.The conclusion made by Manny is correct.To solve more questions on functions & expressions, visit the link below
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The Freeman family is barbecuing veggie burgers, corn cobs, and mushroom caps in their local park. If 3/8 of the items barbecued or veggie burgers, and 1/3 of the items barbecued or corn cobs, what fraction of barbecued items are mushroom caps?
Answer:
7/24
Step-by-step explanation:
Let
total items barbequed = 1
Veggie burgers = 3/8
Corn cobs =1/3
Mushroom caps = x
Veggie burgers + corn cobs + x = 1
3/8 + 1/3 + x = 1
9+8 /24 + x = 1
17/24 + x = 1
x= 1 - 17/24
=24-17 /24
= 7/24
x = 7/24
Fraction of barbequed items that are mushroom's is 7/24
Answer:7/24
Step-by-step explanation:
Which of the following are properties of the circumcenter of a triangle? Check
all that apply.
A. The circumcenter is at the intersection of the perpendicular
bisectors of the triangle's sides.
B. The circumcenter of an obtuse triangle is always outside it.
M C. The circumcenter is equidistant from each vertex of the triangle.
D. The circumcenter is equidistant from each side of the triangle.
Answer: A. The circumcenter is at the intersection of the perpendicular bisectors of the triangle's sides.
C. The circumcenter is equidistant fromeach vertex of the triangle.
D. The circumcenter is equidistant from each side of the triangle.
Step-by-step explanation:
The properties of the circumcenter of a triangle from the options given include:
• The circumcenter is at the intersection of the perpendicular bisectors of the triangle's sides.
• The circumcenter is equidistant fromeach vertex of the triangle.
• The circumcenter is equidistant from each side of the triangle.
Option B is wrong as the circumcenter of an obtuse triangle is not always outside it. For the circumcenter, there is intersection of all the three lines and it's not important that they should always be outside.
suppose that 90% of all batteries from a certain supplier have acceptable voltages. a certain type of flashlight requires two type-d batteries, and the flashlight will work only if both its batteries have acceptable voltages. among ten randomly selected flashlights, what is the probability that at least nine will work? what assumptions did you make in the course of answering the question posed?
Suppose that 90% of batteries that are supplied from the certain supplier have acceptable voltages, probability that among all the batteries supplied least nine will work is 26 and 0.3076 .
M: Math
P: Physics
S: Statistic
n(Math) = 24
n(Physics) = 29
Formula:
Putting the values, we get,
Thus, 26 students took statistic.
Probability is basically based on the possible chances or the chances of happening of something. The theoretical probability is a type of probability that is mainly based on the reason behind that probability. For example, if a coin is tossed, the theoretical probability or the outcome of getting a head will be ½.
Probability is the branch of mathematics that basically concern about the occurrence of a random event or the chances of favorable outcome and there are mainly four types of probability exist: classical, empirical, subjective and axiomatic.
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Line LR bisects MN at point L. Find the length of ML if MN = 152 ft.
Answer:
\(ML = 76\text{ feet}\)
Step-by-step explanation:
Since Line LR bisects MN at point L, by the definition of bisector:
\(\overline{ML} \cong \overline{LN}\)
We want to determine ML if MN measures 152 feet.
MN is the sum of ML and LN. Hence;
\(ML + LN = MN\)
Since ML = LN and MN = 152:
\(ML + (ML) = (152)\)
Simplify:
\(2ML = 152\)
And divide. Therefore:
\(ML = 76\text{ feet}\)
In conclusion, ML measures 76 feet.
square roof of Sixty?
Answer:
your anwser is 7.74596669241
Answer:
\(\sqrt{60} = 7.74596669241\)
Step-by-step explanation:
How many kilograms are there in 45,456 mg?
Please help.
Is algebra.
PLEASE HELP NO LINKS OR FILES
Answer:
1st Question: D
2nd Question: Is either C or D
Hope this helps :)
please help me fast
I give you 100 point
Answer:
a. 372
b. 708
c. 451
d. 805
e. 965
f. 620
Step-by-step explanation:
how would the numbers 6870000 appear in scientific notation on a calculator screen
Answer: D
Step-by-step explanation:
Can someone actually help me with this
Answer: X = 30*
All circles = 360*
we can subtract 260 from that because we know the length of one so we know the other is 130.
We are then left with only 100 and we know the two sides are equivalent so 100 / 2 = 50
Question 5(Multiple Choice Worth 2 points)
(Area of Polygons and Composite Figures MC)
A composite figure is shown.
3 cm
24.52 cm²
31.49 cm²
42.07 cm²
12.7 cm
Which of the following represents the total area of the figure?
49.04 cm²
5 cm
3.4 cm
6.8 c
The total area of the figure is given as follows:
23.16 cm².
How to obtain the area of the figure?The total area of the figure is composed by the sum of the areas of each part of the figure.
The figure is composed as follows:
Right triangle of sides 2.7 cm and 3 cm.Right triangle of sides 3.4 cm and 6 - 2.7 = 3.3 cm.Rectangle of dimensions 5 cm and 2.7 cm.The area of a right triangle is given by half the multiplication of the sides, hence:
0.5 x 2.7 x 3 = 4.05 cm².0.5 x 3.4 x 3.3 = 5.61 cm².The area of a rectangle is given by the multiplication of the dimensions, hence:
5 x 2.7 = 13.5 cm².
Then the total area is given as follows:
13.5 + 5.61 + 4.05 = 23.16 cm².
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a suspension bridge with weight uniformly distributed along its length has twin towers that extend meters above the road surface and are meters apart. the cables are parabolic in shape and are suspended from the tops of the towers. the cables touch the road surface at the center of the bridge. find the height of the cables at a point meters from the center.
The height of the cable is 0.15 meters and 1.35 meters at a point 200 meters and -200.
The given details are: Height of twin towers above road surface = h = 160 meters. Distance between twin towers = d = 800 meters. At the center of the bridge, the cables touch the road surface so the maximum height of the cable will be h. Using the formula for the parabolic cable we get: h(x) = a(x - d/2)(x + d/2). Let's find the value of "a" using the maximum height of the cable at the center of the bridge .i.e., h = a(0 - d/2)(0 + d/2) => h = a(d/2)^2 => a = (4h/d^2)Therefore, h(x) = (4h/d^2)(x - d/2)(x + d/2)We need to find the height of the cables at a point x meters from the center. Therefore, we need to find the value of h(x) when x = ±200 meters from the center of the bridge. h(x) = (4h/d^2)(x - d/2)(x + d/2) => h(x) = (4 × 160)/(800 × 800) (x - 800/2)(x + 800/2)When x = -200,h(-200) = (4 × 160)/(800 × 800) (-200 - 800/2)(-200 + 800/2)= (4 × 160)/(800 × 800) (-1200)(200)h(-200) = 0.15 meters. When x = 200,h(200) = (4 × 160)/(800 × 800) (200 - 800/2)(200 + 800/2)= (4 × 160)/(800 × 800) (-400)(1200)h(200) = 1.35 meters. Hence, the height of the cable is 0.15 meters and 1.35 meters at a point 200 meters and -200 meters from the center of the bridge respectively.
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What is meant by linear algebra?
Answer:
Step-by-step explanation:
a branch of mathematics that is concerned with mathematical structures closed under the operations of addition and scalar multiplication and that includes the theory of systems of linear equations, matrices, determinants, vector spaces, and linear transformations.
need a little help with this
Answer:
-5/2
Step-by-step explanation:
We can use the slope formula
m = ( y2-y1)/(x2-x1)
= ( -12 - 3)/(4 - -2)
= (-12-3)/(4+2)
-15/6
-5/2
Answer:
-5/2
Step-by-step explanation:
(y2-y1)/(x2-x1) = -15/6 = -5/2
Which would it be?
1. 2143.57
2. 17,148.59
3. 1607.68
A circular rock garden has a radius of 19.5 feet. What is the approximate circumference of the rock garden?
OA. 38 feet
O B. 61 feet
O C. 123 feet
O D. 380 feet
Answer:
c. 123 feet
Step-by-step explanation:
The circumference formula is 2πr
2*19.5 = 39
39*π ≈ 123
True or False: Segment GT is congruent to segment PD.
GT Y
-10
B M
+$|||$||$
-5
0
PD W
|$|||||
5
10
"Segment GT is congruent to segment PD on the number line." this statement is True.
What is a number line?
A picture of numbers on a straight line is called a number line. It serves as a guide for contrasting and arranging numbers. Any real number, including all whole numbers and natural numbers, can be represented by it.
The number line is used to represent the coordinates G, T, Y, B, M, P, D, W.
The point of G is -10 and the point of T is -9.
To get the measurement subtract G from T -
= -9 - (-10)
= -9 + 10
= 1
The point of P is 5 and the point of D is 6.
To get the measurement subtract P from D -
= 6 - 5
= 1
The measurement of GT and PD both is 1.
Therefore, segment GD is congruent to segment PD on the number line.
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Find both of them plzzzzz
Answer:
supplement angle : 107
complement angle : 17
Step-by-step explanation:
supplement :
180 - 73 = 107
complement :
90 - 73 = 17
Can anyone help with my homework it would be greatly appreciated.
test the claim about the population mean μ at the level of significance α. assume the population is normally distributed. claim: μ>29; α=0.05; σ=1.2 sample statistics: x=29.3, n=50
Based on the sample data and the hypothesis test, there is sufficient evidence to support the claim that the population mean μ is greater than 29 at the significance level of 0.05.
What is the mean and standard deviation?
The standard deviation is a summary measure of the differences of each observation from the mean. If the differences themselves were added up, the positive would exactly balance the negative and so their sum would be zero. Consequently, the squares of the differences are added.
To test the claim about the population mean μ at the level of significance α, we can perform a one-sample t-test.
Given:
Claim: μ > 29 (right-tailed test)
α = 0.05
σ = 1.2 (population standard deviation)
Sample statistics: x = 29.3 (sample mean), n = 50 (sample size)
We can follow these steps to conduct the hypothesis test:
Step 1: Formulate the null and alternative hypotheses.
The null hypothesis (H₀): μ ≤ 29
The alternative hypothesis (Hₐ): μ > 29
Step 2: Determine the significance level.
The significance level α is given as 0.05. This represents the maximum probability of rejecting the null hypothesis when it is actually true.
Step 3: Calculate the test statistic.
For a one-sample t-test, the test statistic is given by:
t = (x - μ) / (σ / √(n))
In this case, x = 29.3, μ = 29, σ = 1.2, and n = 50. Plugging in the values, we get:
t = (29.3 - 29) / (1.2 / √(50))
= 0.3 / (1.2 / 7.07)
= 0.3 / 0.17
≈ 1.76
Step 4: Determine the critical value.
Since it is a right-tailed test, we need to find the critical value that corresponds to the given significance level α and the degrees of freedom (df = n - 1).
Looking up the critical value in a t-table with df = 49 and α = 0.05, we find the critical value to be approximately 1.684.
Step 5: Make a decision and interpret the results.
If the test statistic (t-value) is greater than the critical value, we reject the null hypothesis; otherwise, we fail to reject the null hypothesis.
In this case, the calculated t-value is approximately 1.76, which is greater than the critical value of 1.684. Therefore, we reject the null hypothesis.
hence, Based on the sample data and the hypothesis test, there is sufficient evidence to support the claim that the population mean μ is greater than 29 at the significance level of 0.05.
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if an independent variable's null hypothesis is rejected, it should remain in the model. group of answer choices true false
The number of variables in a data collection whose values can fluctuate while others remain fixed is referred to as a degree of freedom. So, the third choice is the right one.
Define independent variable.A variable that indicates a quantity being altered in an experiment is known as an independent variable. In equations, x is frequently used to denote the independent variable. A variable that indicates a quantity being altered in an experiment is known as an independent variable. Values that fluctuate in relation to one another are independent and dependent variables in mathematics.
Given.
The number of variables in a data collection whose values can fluctuate while others remain fixed is referred to as a degree of freedom. So, the third choice is the right one.
In other words, the number of values that can change in a statistical calculation is referred to as the degree of freedom.
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