Answers
Answer:
2
Step-by-step explanation:
\( \frac{3}{6} \div \frac{1}{4} \)
When dividing two fractions, we turn the second fraction upside down then multiply two fractions:
\( \frac{3}{6} \times \frac{4}{1} = \frac{12}{6} \)
We can simplify the fraction with 6, so the answer is "2"
Related Questions
Natasha and her two dogs were walking on a perfectly straight road when her two dogs ran away from her in opposite directions. Her beagle is now \dfrac{25}{4} 4 25 start fraction, 25, divided by, 4, end fraction meters directly to her right, and her labrador is \dfrac{51}{20} 20 51 start fraction, 51, divided by, 20, end fraction meters directly to her left. Which of the following expressions represents how far apart the two dogs are?
Answers
Answer:
\(\dfrac{74}{20}=3.7 meters\)
Step-by-step explanation:
Hello!
1) Since no other data has been given. Suppose Natasha is in the center and the beagle is to the right.
\(\dfrac{25}{4} \:meters\)
2) The labrador is \(\dfrac{51}{20}\: to\: the\: left.\)
\(\dfrac{25}{4} -\dfrac{51}{20} =\dfrac{(5*25)-51}{20} \\\dfrac{(125-51}{20} =\dfrac{74}{20}\)
Answer:
The answer is B :D hope this helps
Step-by-step explanation:
21.9 divide 4.37 help
Answers
The division of the number 21.9 by 4.37 will be 5.01.
What is division?Division is an arithmetic operation in mathematics that involves splitting a quantity or a value into equal parts.
The number or quantity being divided is called the dividend, while the number or quantity by which the dividend is divided is called the divisor. The result of division is called the quotient.
Given that there are two numbers 21.9 and 4.37.
When we divide 21.9 by 4.37, we get:
21.9 ÷ 4.37 = 5.01
Therefore, when 21.9 is divided by 4.37 we will get a result equal to 5.01.
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consider the region bounded by the graphs of y=-sin^-1 x,y=0,and x=-sqrt(3)/2 (a) find the area of the region. (b) find the centroid of the region.
Answers
(a) the area of the region is (1/2) √3 + π/3.
Finding the area of the region:
The area of the region is given by:
A = ∫[a, b]f(x) dx = ∫-√3/2, 0 dx + ∫0, √3/2 dx
Using integration by parts, we can write:
I = ∫(-sin⁻¹x) dx = x (-sin⁻¹x) + ∫x / √(1 - x²) dx
= x (-sin⁻¹x) - √(1 - x²) + C
Thus, the integral becomes:
A = [-x sin⁻¹x + √(1 - x²)] [-√3/2, 0] + [-x sin⁻¹x + √(1 - x²)] [0, √3/2]
Evaluating the integral, we have:
A = (1/2) √3 + π/3
Therefore, the area of the region is (1/2) √3 + π/3.
(b) the centroid of the region is ((2/3) π / (√3 + 2π/3), 0)
Finding the centroid of the region:
The coordinates of the centroid are given by:
x-bar = (1/A) ∫[a, b]x f(x) dx
y-bar = (1/A) ∫[a, b]f(x) dx
Using the given values, we can compute the integral for x-bar as:
x-bar = (1/A) [-x²/2 sin⁻¹x + x √(1 - x²)/2 + ∫√(1 - x²)/2 dx] [a, b]
Evaluating the integral and using part (a) to compute the area A, we have:
x-bar = (2/3) π / (√3 + 2π/3)
The x-coordinate of the centroid is (2/3) π / (√3 + 2π/3).
For y-bar, we use the integral expression and compute it as:
y-bar = (1/A) ∫[a, b]f(x) dx
Evaluating the integral and using the computed area A, we have:
y-bar = 0
The y-coordinate of the centroid is 0.
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A lottery ticket on which the odds of winning are 1 in 1 million is given to every person in attendance at a college football game. The most likely result is that there will be
a. no winners in the stadium.
b. one winner in the stadium.
c. many winners in the stadium.
Answers
Answer:
The most likely result is that there will be no winners in the stadium.
Step-by-step explanation:
The odds of winning are 1 in 1 million, which means that there is a 99.9999% chance that any given person will not win. If there are 100,000 people in attendance at the game, then the expected number of winners is 0.1.
In a survey of 1,600 people who owned a certain type of car, 640 said they would buy that type of car again. What percent of the people surveyed were satisfied with the car?
Answers
Answer:
40%
Step-by-step explanation:
ANSWER THIS PLEASE !!!!!!
Answers
Answer:
C
Step-by-step explanation:
Becuase 68 is closer to c than b
How do you describe the lengths of the third side of the two triangles?
Answers
The lengths of the third side of the triangles can be achieved by using the Pythagorean theorem, which says in a right triangle, the sum of the squares of the two shorter sides is equal to the square of the hypotenuse.
How to illustrate the information?Three vertices make up the three-sided polygon known as a triangle. There is a point where the three sides are joined end to end.
A triangle's third side must always have a length that falls between (but not exactly equal to) the sum and difference of the other two sides. Consider the examples 2, 6, and 7 as an example. The third side length must therefore be greater than 4 and less than 8.
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Solve the equation. What is the value of x?
x minus 6.8 = 356.3
Answers
Answer:
the answer is 363.1 i used a calculater to find the answer. so 356.3+ 6.8 = 363.1 so x=363.1
Step-by-step explanation:
Answer:
363.1
Step-by-step explanation:
Sally had 94$ to spend on 7 books. After buying them she had 17$, how much money did each book cost?
Answers
Answer:
\(\mathsf {x = 11}\)
Step-by-step explanation:
\(\textsf {Let the cost of a single book be x.}\)
\(\textsf {Formed equation :}\)
\(\implies \mathsf {94 - 7x = 17}\)
\(\implies \mathsf {7x = 77}\)
\(\implies \mathsf {x = 11}\)
Each book costs approximately $11
After buying
7 books, Sally had
$17 left over from $94
The total amount sally spent on each book would be $11
94-17=77
X= 77 divided by 7 which equals 11
X=11
Hope this helps :)
What is the difference of the fractions? 3StartFraction 13 over 15 EndFraction – 1Four-fifths 2One-fifteenth 2Five-fifteenths 2Seven-tenths 2Nine-tenths
Answers
Answer:
2One-fifteenth
Step-by-step explanation:
\(3\frac{13}{15} - 1\frac{4}{5}\)
\(2\frac{13 - 12}{15}\)
2 \(\frac{1}{15}\)
Need help on both of these for geometry
Answers
Answer:
Step-by-step explanation:
have the triangles written in the same order to se the corresponding angles
C A . T
⇵ . ⇵ . ⇵
D O . G
∠D ≅∠C
∠O ≅∠A
GD ≅TC
10.
you have an isosceles triangle with vertex angle 48 so the base angle is
(180-48)/2 = 66
32+ x = 66 because is an exterior angle
x= 66-32 = 34
I need help thank you. (pls give a proper explanation) here is the question I need this asap pls answer quick
...............................
Answers
To keep track of each student's preferred hue, Mr. Roberson constructed a frequency table. According to the frequency chart, the following statements are accurate:
Twice as many students prefer green than purple.Two more students prefer blue than purple.Hence, Options B and D are correct.
What is the meaning of the term “frequency table”?The number of times a specific value appears in the data is the value's frequency. Frequency tables or charts are used to represent frequency distributions.
A variable's distribution is its frequency pattern, or the collection of all conceivable values and the frequencies corresponding to those values.
Therefore, Options B and D are correct.
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Which of the following functions matches this graph?
Answers
Answer:
a. y=x^2
Step-by-step explanation:
desmos graphing calculator
Sam wantds to put a fence around his garden. two sides are already near a fence and the other sides are 15 and 23 feet. how many feet of fencing does he ned
Answers
We cannot determine the exact amount of fencing Sam needs.
To find out how many feet of fencing Sam needs, we need to calculate the total perimeter of his garden.
First, let's find the length of the two sides that are already near a fence. Since these sides are already taken care of, we don't need to include them in our calculation.
Now, let's focus on the other two sides that are 15 and 23 feet long. To find the total perimeter, we need to add the lengths of all four sides together.
So, the total perimeter is 15 + 23 + (length of the two sides near the fence) + (length of the other side near the fence).
Since we don't know the length of the sides near the fence, we cannot calculate the exact length of the total perimeter.
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Find the measure of an angle such that the sum of its complement and its supplement is 220o.
a.
The angle is 25o.
b.
The angle is 35o.
c.
The angle is 20o.
d.
The angle is 30o.
Answers
The angle is 25 degrees
How to determine the angle?Let the measure of the angle be x
So, we have
Complement = 90 - x
Supplement = 180 - x
The sum is 220
So, we have
90 - x + 180 - x= 220
Evaluate the sum
-2x + 270 = 220
Solve for x
x = 25
Hence, the angle is 25 degrees
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41. Write a proof of the theorem that states if an angle of a quadrilateral is supplementary to both of its consecutive angles, the quadrilateral is a parallelogram.
Given: m∠F + m∠G = 180, m∠F + m∠J = 180
Prove: FGHJ is a parallelogram
What statement proves the theorem?
A. By the Angle Addition Postulate m∠F = m∠J and m∠G = m∠H. So, by the definition of a parallelogram, FGHJ is a parallelogram.
B. By the Converse of the Same-Side Interior Angles Postulate, FJ|| GHand FG||JH. So, by the definition of a parallelogram, FGHJ is a parallelogram.
C. By the Polygon Interior Angle-Sum Theorem, m∠F + m∠G + m∠F + m∠J = 360. So, by the definition of a parallelogram, FGHJ is a parallelogram.
D. By the Converse of the Same-Side Interior Angles Postulate, FJ = JH andFG=JH. So, by the definition of a parallelogram, FGHJ is a parallelogram.
Answers
Answer:
B.
there's proof that opposite sides are parallel so it must be a parallelogram
Step-by-step explanation:
a feature was created using a triangle and a semicircle . use the ruler provided to measure the dimensions of the triangle and semicircle to the nearest centimeter . which measurement is closest to the area of the feature in square centimeters .
Answers
The area of a circle is given by:
\(\begin{gathered} A=r^2\pi \\ \text{Where:} \\ r=\frac{8}{2}=4 \\ \text{ Since it is a semicircle, the area is:} \\ A=\frac{4^2\pi}{2}=8\pi \end{gathered}\)And the area of the triangle is:
\(\begin{gathered} A=\frac{b\cdot h}{2} \\ \text{where:} \\ b=8 \\ h=7 \\ A=\frac{8\cdot7}{2}=28 \end{gathered}\)Therefore, the total area is:
\(A_T=8\pi+28\approx53.13\operatorname{cm}\)explain how you determined which distribution to use. the t-distribution will be used because the samples are independent and the population standard deviation is not known. the standard normal distribution will be used because the samples are independent and the population standard deviation is known
Answers
You must use the t-distribution table when working problems when the population standard deviation (σ) is not known and the sample size is small (n<30). General Correct Rule: If σ is not known, then using t-distribution is correct. If σ is known, then using the normal distribution is correct.
What is t-distribution and normal distribution ?Normal distribution, also known as the Gaussian distribution, is a probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.
In graphical form, the normal distribution appears as a "bell curve".
The normal distribution is the proper term for a probability bell curve.
In a normal distribution the mean is zero and the standard deviation is1. It has zero skew and a kurtosis of 3.
Normal distributions are symmetrical, but not all symmetrical distributions are normal.
The t-distribution describes the standardized distances of sample means to the population mean when the population standard deviation is not known, and the observations come from a normally distributed population.
Therefore,
You must use the t-distribution table when working problems when the population standard deviation (σ) is not known and the sample size is small (n<30). General Correct Rule: If σ is not known, then using t-distribution is correct. If σ is known, then using the normal distribution is correct.
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What is the simplest form of x^2+5X-36/x^2-16
X+9/X+4
9/4
X+9/X-4
-9/4
Answers
X+9/X+4
Step-by-step explanation:
(x ^ 2 + 5x - 36)/(x ^ 2 - 16)
=(X+4)(X+9)/(X+4)(X-4)
=(X+9)/(X+4)
Can someone please help me out with this problem
Answers
Answer:
15w+5
Step-by-step explanation:
Any like terms can be combined to simplify.
2w+13w=15w
4+1=5
So, 2w+4+13w+1= 15w+5
Answer:
W = -1/3
Step-by-step explanation:
15W + 5= 0
15W = -5
W = -5/15
W = -1/3
The probability of randomly hitting a bullseye on a dartboard with radius 12 inches depends on the size of the bullseye Thus the probability is a function of the size If this function is called PS?
Answers
If we denote the probability of hitting a bullseye on a dartboard with radius 12 inches as a function of the size of the bullseye, we can refer to this function as PS.
The function PS represents the probability of hitting the bullseye and is dependent on the size of the bullseye. The larger the bullseye, the higher the probability of hitting it, and vice versa. By adjusting the size of the bullseye, we can determine the corresponding probability of hitting it using the function PS.
It's important to note that without specific information about the relationship between the bullseye size and the probability, it's not possible to provide a specific mathematical expression or further details about the PS function. The function would need to be defined or provided to calculate the probability accurately.
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find the measure of the indicated angle to the nearest degree.
Answers
Answer:
23°
Step-by-step explanation:
Let the measure of the required angle be \(\theta\)
\( \implies \: \theta = { \cos}^{ - 1} \: \bigg(\frac{35}{38} \bigg) \\ \\ \implies \: \theta =22.9195421516\\\\ \implies \: \theta =23\degree\)
Gina tracks the low temperatures for a city over six days. Identify the days colder than-1.75°F. Monday Tuesday Wednesday Thursday Friday -2.5°F -1.9°F 0°F -1.5°F 0.5°F
Answers
Answer:
Monday
Tuesday
Step-by-step explanation:
Given the temperature data:
Mon _____ Tue _____ Wed _____ Thur ___ Fri
-2.5°F ___ - 1.9°F _____ 0°F _____ - 1.5°F _0.5°F
Days colder than - 1.75°F
Days colder than - 1.75°F are days whereby the temperature value is less than - 1.75
Hence,
-2.5°F < - 1.75°F = (Monday)
-1.9°F < - 1.75°F = (Tuesday)
Hence, temperature on Monday and Tuesday is colder than - 1.75°F
Answer:
Monday
Tuesday
Step-by-step explanation:
Logan is doing a handstand dive from a 12 meter platform. The equation that models the path of her dive is given by LaTeX: h=-4.9t^2+12h = − 4.9 t 2 + 12, where t is seconds. After how many seconds will Logan hit the water?
Answers
Answer:
Time, t = 2.44 seconds
Step-by-step explanation:
Logan is doing a handstand dive from a 12 meter platform. The equation that models the path of her dive is given by :
\(h=-4.9t^2+12t\)
It is required to find the time after which Logan will hit the ground. At this point, h = 0
\(-4.9t^2+12t=0\\\\t(-4.9t+12)=0\\\\t=\dfrac{12}{4.9}\\\\t=2.44\ s\)
So, after 2.44 seconds it will hit the water.
Aa campus program evenly enrolls undergraduate and graduate students. If a random sample of 4 students is seleted from the program to be interviewed about the introduction of a new gast food outlet on the ground floor of the campus building, what is the proability that all 4 students selected are undergraduate students?
Answers
The required probability is 1/16.
Given that a campus program evenly enrolls undergraduate and graduate students. A random sample of 4 students is selected from the program to be interviewed about the introduction of a new fast-food outlet on the ground floor of the campus building. We have to find the probability that all 4 students selected are undergraduate students.
The probability that all 4 students selected are undergraduate students is given by: P(Undergraduate) = Number of undergraduate students / Total number of students Given that the program evenly enrolls undergraduate and graduate students. Number of undergraduate students = Total number of graduate students Therefore, P(Undergraduate) = Number of undergraduate students / Total number of students = Number of graduate students / Total number of students Let the total number of students be n, then Number of undergraduate students = Number of graduate students = n/2∴ P(Undergraduate) = Number of undergraduate students / Total number of students= n/2 / n = 1/2
Therefore, the probability that all 4 students selected are undergraduate students is: P(4 undergraduate students) = P(Undergraduate) × P(Undergraduate) × P(Undergraduate) × P(Undergraduate) = (1/2) × (1/2) × (1/2) × (1/2) = 1/16
Hence, the required probability is 1/16.
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Simplify as far as possible.
√108 − 2 √300
Answers
Answer:
√108 − 2 √300
6v√3 − 20√3
PLEASE help!10 points
Answers
Answer:
-24
Step-by-step explanation:
steps are in the picture above.
Note:if you need to ask any question please let me know.
The interior angles of a pentagon are x, (x+20), (x + 20), (x + 40) and (x + 40). Work out the value of x.
Answers
Answer:
x = 84
Step-by-step explanation:
the sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
a pentagon has 5 sides , so n = 5
sum = 180° × (5 - 2) = 180° × 3 = 540°
sum the interior angles and equate to 540
x + x + 20 + x + 20 + x + 40 + x + 40 = 540
5x + 120 = 540 ( subtract 120 from both sides )
5x = 420 ( divide both sides by 5 )
x = 84
Which equation can be solved by using this system of equations?
[y-3x³-7x² +5
[y=7x²+2x
3x³-7x²+5=0
3x³-7x² +5-7x4 + 2x
7x²+2x=0
7x4+3x3-7x²+2x+5=0
Answers
The equation which can be solved by using the given system of equations; y = 3x³ - 7x² + 5 and y = 7x^4 + 2x is 3x³ - 7x² + 5 = 7x^4 + 2x. Option B is correct.
We are given;
y = 3x³ - 7x² + 5
y = 7x^4 + 2x
We will solve the given equation by substitution method:
Using the substitution method, let us substitute y = 7x^4 + 2x in the equation y = 3x³ - 7x² + 5, we get,
3x³ - 7x² + 5 = 7x^4 + 2x
So, 3x³ - 7x² + 5 = 7x^4 + 2x will be solved by using the given system of equations.
Thus, the equation which can be solved by using the given system of equations; y = 3x³ - 7x² + 5 and y = 7x^4 + 2x is 3x³ - 7x² + 5 = 7x^4 + 2x. Option B is correct.
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3.
Which is a true statement about two numerical sets of data that have positive
association?
Answers
D. As one variable increases, the other
variable decreases
Step-by-step explanation:
Negative correlation also called inverse
correlation is a relation between two
variables whereby they behave in opposite
manner.When one variable moves in an
increasing direction, the other variable
moves in a decreasing direction.