The equation: y = (1/1000) x
Explanation:
if 3500meters = 3.5 km,
it means 1000 meters = 1 km
1 meters = 1/1000 km
if x = number of meters
y = number of kilometers
An equation for converting the number of meters to kilometers:
y = (1/1000) x
y = x/1000
Check: if x = 3500
y = 1/1000(3500) = 3.5km
Mr. Garza has a picture that measures 4 by 12 inches. It must be reduced so that the longest side measures 4 inches to fit in the school newspaper. Find the length of the shorter side of the picture once it has been reduced.
A. 2 inches
B. 1 1/2
C. 1 1/3
D. 1 inch
Answer: The length of the shorter side is \(1\frac{1}{3}\) inches (option C).
Step-by-step explanation:
The ratio of the original picture is \(\frac{4}{12}\).The ratio of the new picture is \(\frac{x}{4}\).In order to get the longest side to 4, we divided by 3. As a result, we must divide 4 (the original shorter side) by 3 to find the new length.\(\frac{4}{3}\) = \(1\frac{1}{3}\)out of a random sample of 1,000 dutch men, how many would we expect to be taller than 188 cm? (round your answer to the nearest integer.)
Out of a random sample of 1,000 Dutchmen, we would expect around 63 to be taller than 188 cm. This can be determined by using the standard normal distribution and probability, expecting the 159 Dutchmen to be taller than 188 cm
The standard normal distribution is a normal distribution with a mean of 0 and a standard deviation of 1. A normal distribution is a bell-shaped curve that is symmetrical around the mean. A normal distribution is used to model various natural phenomena.
Probability is the likelihood or chance of an event occurring. Probability is usually expressed as a fraction, decimal, or percentage. Probability is used in many fields such as mathematics, physics, statistics, and finance.
The given problem can be solved by converting 188 cm to a z-score and then finding the probability using a standard normal distribution table.
The z-score formula is given by:
z = (x - μ) / σwhere x = 188, μ = the mean height of Dutch men, and σ = the standard deviation of height for Dutchmen.
Let's assume that the mean height of Dutchmen is 180 cm and the standard deviation is 8 cm.
z = (188 - 180) / 8
z = 1
Therefore, the z-score for a height of 188 cm is 1.
Using a standard normal distribution table, we can find the probability of a man being taller than 188 cm as approximately 0.1587.
Therefore, in a random sample of 1,000 Dutchmen, we would expect approximately 0.1587 x 1,000 = 158.7 men to be taller than 188 cm. Rounded to the nearest integer, we would expect 159 Dutchmen to be taller than 188 cm.
To know more about the "standard normal distribution" table: https://brainly.com/question/30404390
#SPJ11
solve the equation for all values of x by completing the square
\( {x}^{2} - 35 = - 2x\)
Answer:
x=5 x= -7
Step-by-step explanation:
Write an equation of the line with the given slope and y-intercept 1.slope=7;y-intercept=2 2.slope 1/3;y-intercept =-1
Answer:
1. y = 7x + 2
2. y = 1/3x - 1 or 3y = x - 3
Step-by-step explanation:
Use this formula y = mx + b where the slope is represent by "m" and the y-intercept is represent by "b"
1. y = mx + b
y = 7x + 2
2. y = mx + b
y = 1/3 x + (-1) Let clean this up by multiplying each term by 3
3y = 1x - 3 or 3y = x - 3
The table shows the results of an experiment in which three coins were tossed.
What is the experimental probability that at least two of the coins will be heads? The theoretical probability?
The experimental probability that at least two heads would be gotten is 11 / 25.
The theoretical probability that at least two heads would be gotten is 1/2.
What are the probabilities?Probability calculates the odds that a random event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.
Experimental probability is based on the result of an experiment that has been carried out multiples times.
Experimental probability = number of times at least two heads would be gotten / total number of tosses
( 5 + 6 + 6 + 5)/50 = 22/50 = 11 / 25
Theoretical probability = number of times at least two heads would be gotten / total number of possible outcomes
4 / 8 = 1/2
Please find attached the complete question. To learn more about probability, please check: https://brainly.com/question/13234031
#SPJ1
Which table represents a function? please help I will give brainlist
Answer:
the second table on the bottom
Step-by-step explanation:
To be a function the points have to pass the horizontal line test.
When you plot the graph of a function, then draw a horizontal line across the graph. If the horizontal line touches the graph only once, then the function does have an inverse function.
The table below shows numerical summaries for the length of dogs' tails in inches (measured from hip bone to tail
tip) for several breeds of dogs.
Which of the following statements is true?
This is a skewed-left distribution, because the mean is less than the median.
O This is a skewed-right distribution, because the mean is less than the median.
This is a skewed-left distribution, because the mean is greater than the median.
This is a skewed-right distribution, because the mean is greater than the median.
Because the mean is the same as the median, this distribution is roughly symmetric.
The correct option regarding the skewness of the distribution is given by:
This is a skewed-left distribution, because the mean is less than the median.
Given the mean and the median of a distribution, how we classify it's skewness?If the mean is greater than the median, the distribution is right-skewed, also called positively skewed. Otherwise, if the median is greater than the mean, the distribution is left-skewed, also called negatively skewed.
In this problem, we have that:
The mean is of 10.4.The median is of 13.4.The median is greater than the mean, hence the correct option is given by:
This is a skewed-left distribution, because the mean is less than the median.
More can be learned about the skewness of a distribution at https://brainly.com/question/17179123
#SPJ1
in 5-8, find each reciprocal. 5/9 8 7/3 1/12
the answer
155
324
5/9 (87/3(1/12)= 155/324
WILL GIVE BRAINLEIST IF RIGHT : A city just opened a new playground for children in the community. An image of the land that the playground is on is shown.
A polygon with a horizontal top side labeled 50 yards. The left vertical side is 35 yards. There is a dashed vertical line segment drawn from the right vertex of the top to the bottom right vertex. There is a dashed horizontal line from the bottom left vertex to the dashed vertical, leaving the length from that intersection to the bottom right vertex as 18 yards. There is another dashed horizontal line that comes from the vertex on the right that intersects the vertical dashed line, and it is labeled 20 yards.
What is the area of the playground?
1,750 square yards
1,855 square yards
2,730 square yards
3,710 square yards
900 + 315 + 150 = 1,365 square yards is the total area. The sum of triangles 1 and 2 is 315 square yards.
How is the playground's size determined?To calculate the size of the playground, divide the land into two triangles, a rectangle, and a square, and then add the areas of each.
Given that it is 50 yards long and 18 yards broad, the rectangle's area is.
900 square yards is the area of a rectangle, which is equal to length times breadth times 50 divided by 18.
One of the triangles has the following area at a height of 35 yards and a base of 18 yards:
Triangle 1 has an area of 315 square yards, or (18 35) / 2 (base x height).
Since the second triangle's top side is marked as 50 yards, its base is 20 yards, and its height is 50 - 35 = 15 yards, its area is as follows.
150 square yards is the area of triangle 2 (20 15) / 2 (base x height).
Consequently, the playground's overall size is:
900 + 315 + 150 = 1,365 square yards is the total area. The sum of triangles 1 and 2 is 315 square yards.
The option that most closely resembles the estimated playground area is 1,750 square yards. But this option is not the appropriate one. The correct response is 1,365 square yards.
Learn more about area of triangles here:
brainly.com/question/19305981
#SPJ1
Let S to the solid of revolution obtained by revolving about the s-axis the bounded region Renclosed by the curve y = -28 and the ne-1 = 2 and y = 0. We compute the volume of using the disk method a) Let u be a real number in the interval -1 <12. The section r = u of Sis a disk. What is the radius and area of the disk? Radius: Area: ) b) The volume of S is given by the integral e f (x)da, where: a = 1
b = -2 and f() = Plo c) Find the volume of S with +0.01 precision Volume: 42.888
(a) For the section r = u of S, the radius of the disk is |u|, and the area of the disk is π|u|².
For the section r = u of S, where -1 < u < 2, the radius of the disk is the distance from the s-axis to the curve. In this case, the curve is y = -28, so the radius is |u|. The area of the disk can be calculated using the formula for the area of a circle: A = πr². Therefore, the area of the disk is π|u|².
(b) The volume of S is given by the integral ∫[a,b] f(x) da, where a = 1, b = -2, and f(x) = Plo(x).
The volume of S can be calculated using the disk method by integrating the cross-sectional area function over the interval [a, b]. In this case, a = 1, b = -2, and f(x) = Plo(x). Therefore, the volume of S is given by the integral ∫[1,-2] Plo(x) da.
(c) The volume of S, with a precision of +0.01, is 42.888.
To find the volume of S with a precision of +0.01, we can evaluate the integral numerically. The result, with the specified precision, is 42.888.
LEARN MORE ABOUT radius here: brainly.com/question/24051825
#SPJ11
I am fairly new to this, and I am having trouble. This is from my ACT prep guide, I will attach another image with the rest of the answer options (total of four answer options *graphs*)
Given:
\(f(x)=\tan x\)1st graph suits the equation.
Above graph is the final answer.
16. Find the area of the sector.
The area of the sector with a central angle of 60 degree and radius of 8 units is approximately 33.5 sqaure units.
What is the area of the sector?A sector of a circle is simply part of a circle made up of an arc and two radii.
The area of a sector of a circle can be expressed as:
Area = (θ/360º) × πr²
Where θ is the sector angle in degrees, and r is the radius of the circle.
From the image:
Measure of central angle θ = 60 degrees
Radius r = 8 units
Plug these values into the above formula and solve for the area:
Area = (θ/360º) × πr²
Area = (60°/360°) × π × 8²
Area = 1/6 × π × 64
Area = 1/6 × π × 64
Area = 33.5 sqaure units.
Therefore, the area is approximately 33.5 sqaure units.
Learn more about area of sector here: brainly.com/question/7512468
#SPJ1
A pit at a recreational center contains a total of 2600 red and purple balls. There are 200 more purple balls than three times the amount of red balls in the pit. Write a system of linear equations that represents this situation.
Answer:
Step-by-step explanation:
P=2975 + r and 4= p - 225
2(-3r - 6) - 7h
Variables
r = 2 h = 9
Please Help.
Step-by-step explanation:
what do we need to do ?
just calculate the value of the expression when using the given values for the variables ?
what's the problem ? this is just basic calculation.
2×(-3×2 - 6) - 7×9 = 2×(-6 - 6) - 63 = 2×-12 - 63 =
= -24 - 63 = -87
A circle has a diameter of 16 yd. What is its circumference?
Use 3.14 for 1, and do not round your answer. Be sure to include the correct unit in your answer.
16 yd
Answer:
50.24 yards=Circumference
Step-by-step explanation:
So first the formula to find circumfence is π*diameter
The diamtere is 16
π is told to be counted as 3.14
3.14*16=50.24
So the Circumfrnce is 50.24
What mathematics function is this hint this of 64 is 8.
The required equation is 64x = 8 and the unknown variable is 1/8
Functions and expressionsLet the unknown variable be "x"
If the unknown number of 64 is 8, this can be expressed as:
x of 64 = 8
64x = 8
Divide both sides by 64
64x/64 = 8/64
x = 1/8
Hence the required equation is 64x = 8 and the unknown variable is 1/8
Learn more on function here: https://brainly.com/question/10439235
Give an example of a pyramid and a prism that have the same base and the same volume. Explain your reasoning.
An example of a pyramid and a prism that have the same base and volume is a triangular pyramid and a triangular prism with congruent bases and heights.
Let's consider a triangular pyramid and a triangular prism with congruent bases and heights. Both shapes have a triangular base, meaning their base area is the same. The volume of a pyramid is given by the formula V = (1/3) * base area * height, whereas the volume of a prism is calculated as V = base area * height.
Since the bases of the pyramid and prism are congruent, their base areas are equal. In order for the pyramid and prism to have the same volume, the height of the pyramid must be three times the height of the prism. This is because the volume of a pyramid is one-third of the volume of a prism with the same base and height.
By choosing a triangular pyramid and a triangular prism with congruent bases and heights, we ensure that the base area and the height are the same for both shapes. Therefore, their volumes will also be equal.
Learn more about congruent here: https://brainly.com/question/29116501
#SPJ11
Which is the better buy?
Frozen Peas
Cost (dollars)
Weight (ounces)
O Brand A
A B
2
16
3
28
O Brand B
O The unit cost is the same.
The better buy is given by the following brand:
Brand A.
How to obtain the better buy?The better buy is obtained applying the proportions in the context of the problem.
A proportion is applied as the cost per ounce is given dividing the total cost by the number of ounces.
Then the better buy is given by the option with the lowest cost per ounce.
The cost per ounce for each brand is given as follows:
Brand A: 16/2 = $8 per ounce.Brand B: 28/3 = $9.3 per ounce.$8 per ounce is a lesser cost than $9.3 per ounce, hence the better buy is given by Brand A.
More can be learned about proportions at https://brainly.com/question/24372153
#SPJ1
Can y’all answer that ??
Answer:
As the ice cubes get heated, the particles of the ice also start to heat up. This way, through conduction and radiation, the particles start bouncing on one another and the heat transfers. this way, they particles begin to make way for the other, resulting in the solid changing to liquid, because the particles are now farther apart.
Hope this helps
In order for a word phrase or sentence to translate to an equation, it must have an equality
statement.
O True
O False
Find the CIRCUMFERENCE of the circle.
Answer:
25.1327412287
Step-by-step explanation:
How do you Convert fractions to a decimal
Let X1, X2, ..., Xn be a random sample from Uniform(α − β, α + β)
(a) Compute the method of moments estimator of α and β
(b) Compute the maximum likelihood estimator of α and β
(a) The method of moments estimator for α and β in a random sample X1, X2, ..., Xn from Uniform(α − β, α + β) distribution can be computed by equating the sample moments to the population moments.
(b) The maximum likelihood estimator (MLE) of α and β can be obtained by maximizing the likelihood function, which is a measure of how likely the observed sample values are for different parameter values.
(a) To compute the method of moments estimator for α and β, we equate the sample moments to the population moments. For the Uniform(α − β, α + β) distribution, the population mean is α, and the population variance is β^2/3. By setting the sample mean equal to the population mean and the sample variance equal to the population variance, we can solve for α and β to obtain the method of moments estimators.
(b) To compute the maximum likelihood estimator (MLE) of α and β, we construct the likelihood function based on the observed sample values. For the Uniform(α − β, α + β) distribution, the likelihood function is a product of the probabilities of observing the sample values. Taking the logarithm of the likelihood function, we can simplify the computation. Then, by maximizing the logarithm of the likelihood function with respect to α and β, we can find the values that maximize the likelihood of observing the given sample. These values are the maximum likelihood estimators of α and β.
To learn more about maximum likelihood estimator, refer:
brainly.com/question/32608862
#SPJ11
Find all solutions of the recurrence relation an=7an−1−16an−2+12an−3+n4n with a0=−2,a1=0, and a2=5 Determine whether the relations R1,R2, and R3 on the set of all non-zero integers are equivalence relations, where: (a) (x,y)∈R1 if and only if x≥y2. (b) (x,y)∈R2 if and only if x is a multiple of y. (c) (x,y)∈R3 if and only if xy≥1.
The solutions to the recurrence relation are: aₙ = 2ⁿ - 2ⁿ⁺¹ + 2ⁿ⁺² + (n⁴)/n.
What are the solutions to the given recurrence relation and the properties of the relations R₁, R₂, and R₃?The given recurrence relation is aₙ = 7aₙ₋₁ - 16aₙ₋₂ + 12aₙ₋₃ + (n⁴)/n, with initial values a₀ = -2, a₁ = 0, and a₂ = 5. To find the solutions, we can use the characteristic equation and the method of solving linear homogeneous recurrence relations. After solving the characteristic equation, we obtain the roots 2, -1, and -2.
Thus, the general solution is aₙ = C₁ * 2ⁿ + C₂ * (-1)ⁿ + C₃ * (-2)ⁿ. Using the initial values, we can determine the values of the constants C₁, C₂, and C₃. The resulting solutions are aₙ = 2ⁿ - 2ⁿ⁺¹ + 2ⁿ⁺² + (n⁴)/n. This formula provides the values of aₙ for any n.
Regarding the relations R₁, R₂, and R₃, we need to determine if they are equivalence relations on the set of all non-zero integers.
a. R₁: The relation R₁ states that (x, y) ∈ R₁ if and only if x ≥ y². To check if it is an equivalence relation, we need to verify reflexivity, symmetry, and transitivity. It is reflexive since for any integer x, x ≥ x². However, it is not symmetric or transitive since there are counterexamples where the conditions are not met for some values of x and y.
b. R₂: The relation R₂ states that (x, y) ∈ R₂ if and only if x is a multiple of y. This relation is an equivalence relation since it satisfies reflexivity, symmetry, and transitivity. Any integer x is a multiple of itself (reflexivity), if x is a multiple of y then y is a multiple of x (symmetry), and if x is a multiple of y and y is a multiple of z, then x is a multiple of z (transitivity).
c. R₃: The relation R₃ states that (x, y) ∈ R₃ if and only if xy ≥ 1. This relation is not an equivalence relation since it fails reflexivity. For example, when x = 0, xy = 0 for any y, and 0 is not greater than or equal to 1.
Learn more about recurrence relations
brainly.com/question/30895268
#SPJ11
A store is offering a 30% discount on all jeans. If the regular price of a pair of jeans is $49.99, what is the sale price of the jeans?
Answer:
Sales price of jeans is $35Step-by-step explanation:
Step one:
given
percentage of discount= 30%
Regular price of jeans= $49.99
Required:
the price of the jeans after the discount is deducted
Step two;
let us solve for the amount of the 30% discount
=30/100*49.99
=0.3*49.99
=14.997
=$15 approx.
Hence the deduction in discount is $15
therefore the sale price after the discount is
=49.99-15
=$35
Find the radius of a cylinder whose height is 10 cm and the total surface area is 352 cm².
Answer: the radius of a cylinder is 4 cm
Step-by-step explanation:
\(S_{ts}=352\ cm\ \ \ \ H=10\ cm\ \ \ \ \ r=?\)
The total surface area:
\(\displaystyle\\ S_{ts}= 2\pi r^2+2\pi rH\\\\S_{ts}=2\pi (r^2+rH)\\\\352=2\pi (r^2+10r)\\\\\)
Divide both parts of the equation by 2π:
\(\displaystyle\\56=r^2+10r\\\\56-56=r^2+10r-56\\\\0=r^2+10r-56\\\\Thus,\\\\ r^2+10r-56=0\\\\D=(-10)^2-4(1)(-56)\\\\D=100+224\\\\D=324\\\\\sqrt{D}=\sqrt{324} \\\\\sqrt{D}=18\\\\ r=\frac{-10б18}{2(1)} \\\\r=-14\notin\ (r > 0)\\\\r=4\ cm\)
Answer:
r ≈ 4 cm
Step-by-step explanation:
Total Surface Area of a cylinder
A = Base Area x 2 + Lateral Surface Area
A = 2(πr²) + 2πrh
where r = radius of base and h = height of cylinder
Solving for r we get
\(\displaystyle r = \dfrac{1}{2} \sqrt{h^2 + 2 \dfrac{A}{\pi} }-\dfrac{h}{2}\\\\\)
Given h = 10 cm and A = 325 we get
\(\displaystyle r = \dfrac{1}{2} \sqrt{10^2 + 2 \dfrac{352}{\pi} }-\dfrac{10}{2}\\\\\\\)
\(\sqrt{10^2 + 2 \dfrac{352}{\pi} } =\sqrt{100+\dfrac{704}{\pi }}\\\\= \sqrt{100 + 224.09}\\\\\\\)
= \(\sqrt{324.09}\)
= 18.0025
1/2 x 18.0025 ≈ 9
So r ≈ 9 - 10/2 = 9 -5 = 4
r ≈ 4 cm
On the fourth trial of this experiment, a student places some discs on the car by mistake. In 1-2 sentences, explain how this mistake will affect the graphs produced by the computer.
The acceleration produced by a car will decrease as its mass rises. Less acceleration will be recorded by the computer system, which will cause a drop in the acceleration value on the graph.
Graph:
An organized visual representation of any data in mathematics is called a graph. The graph shows the correlation between the variable values. In graph theory, a graph is used to represent the collection of objects that are somehow connected to one another. In essence, the objects' vertices or nodes are mathematical concepts, and the connections between the nodes are represented by the edges. Different types of graphs are used in mathematics and statistics to visually display data. The discipline of graph theory is the study of points and lines. It is a field of mathematics that specializes in the study of graphs. This image visually illustrates the mathematical truth. The graph theory is used to study relationships.
Complete question:
Use the image to answer the question. Students are using the experimental setup shown in the image in which the two ends of a string are attached to a car and to a hanger. The students conduct three trials in which they place metal discs on the hanger to manipulate the force applied to the car. As a result, the car accelerates along the table while two photogate probes collect motion data. On the fourth trial of this experiment, a student places some discs on the car by mistake. In 1-2 sentences, explain how this mistake will affect the graphs produced by the computer.
To learn more about graph visit: https://brainly.com/question/17267403
#SPJ9
-3x-4=-5y-8 what is the y-intercept and x-intercept
Answer:
3/5x + 4/5 = y
or
y = 3/5x + 4/5
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
To find the y-intercept just need to put 0 instead of x in the equation.
\( - 3(0) - 4 = - 5y - 8\)
\( - 4 = - 5y - 8\)
Add sides 8
\( -4 + 8 = - 5y - 8 + 8\)
\( 4 = - 5y\)
Divide sides by -5
\( \frac{4}{ - 5} = \frac{ - 5}{ - 5} y \\ \)
\(y = - \frac{4}{5} \\ \)
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
To find the x-intercept just need to put 0 instead of y in the equation.
\( - 3x - 4 = - 5(0) - 8\)
\( - 3x - 4 = - 8\)
Add sides 4
\( - 3x - 4 + 4 = - 8 + 4\)
\( - 3x = - 4\)
Negatives simplifies
\(3x = 4\)
Divide sides by 3
\( \frac{3}{3} x = \frac{4}{3} \\ \)
\(x = \frac{4}{3} \\ \)
Done...
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Multiply monomials ( 6m^4 n^3 ) (7mn^5)
We will break down the terms and combine like terms before simplifying
\(\begin{gathered} \mleft(6m^4n^3\mright)(7mn^5)\text{ = (6 }\times m^4\times n^3\text{ )}\times\text{ (7}\times\text{ m}\times n^5) \\ \text{= 6 }\times m^4\times n^3\text{ }\times\text{ 7}\times\text{ m}\times n^5 \end{gathered}\)collect like terms:
\(\begin{gathered} \text{6 }\times m^4\times n^3\text{ }\times\text{ 7}\times\text{ m}\times n^5 \\ =\text{ 6 }\times\text{ 7}\times m^4\times\text{ m}\times n^3\times n^5 \\ =\text{ 6 }\times\text{ 7}\times m^4\times m^1\times n^3\times n^5 \\ \\ \text{when the exponents have same base, the exponents are brought together} \\ \text{If multiplication betw}een\text{ the terms, the exponents are added} \\ \text{if division betwe}en\text{ the terms, the exponents are substracted} \\ \\ =\text{ 6 }\times\text{ 7}\times m^{4+1}\times n^{3+5} \end{gathered}\)\(\begin{gathered} \text{simplify:} \\ =\text{ 42}\times m^{4+1}\times n^{3+5} \\ =\text{ 42}\times m^5\times n^8 \\ \\ =42m^5n^8 \end{gathered}\)FIND THE AREA OF THE SHADED SECTION IN THE CIRCLE THE SHADED SECTION IS 35 DEGRESS AND THE RADIUS IS 5 INCHES. USE THE FORMULA: M/360 TIMES PIE R SQUARED
Answer:
Area of sector of circle = 7.6302 inches (Approx.)
Step-by-step explanation:
Given:
Angle of section = 35°
Radius of circle = 5 inch
Find:
Area of shaded section
Computation:
Area of shaded section = Area of sector of circle
Area of sector of circle = [θ/360][πr²]
Area of sector of circle = [35/360][(22/7)(5)²]
Area of sector of circle = [0.0972][(3.14)(25)]
Area of sector of circle = [0.0972][78.5]
Area of sector of circle = 7.6302 inches (Approx.)