On solving the provided question, we can say that the inequality equation here will be The student is no more than 65 inches tall. P(x< 65) = 23.432
What is inequality?An inequality in mathematics is a relationship between two expressions or values that is not equal. Thus, imbalance leads to inequality. An inequality creates the link between two values that are not equal in mathematics. Egality is distinct from inequality. When two values are not equal, most commonly use the not equal sign (). Different inequalities are used to contrast values, no matter how little or large. Many simple inequalities may be resolved by modifying the two sides until the variables are all that remain. But a number of things contribute to inequality: Negative values on both sides are divided or added. Trade off the left and right.
Mr. Jackson randomly selects a student in Math Club. Use the normal curve from Part A and the empirical rule to find each probability.
the inequality equation here will be
The student is no more than 65 inches tall. P(x< 65) = 23.432
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The circumference of a circle is 5piem. What is the area, in square meters? Express your answer in terms of pie
The area of circle with circumference 5πm is 6.25π square meters.
What is circumference and area of a circle?
The measurement of the circle's perimeter, also known as the circle's boundary, is called its circumference.
Circumference of circle(C)= 2πr
The area of a circle is the space encircled or encompassed by its circumference. It has a square unit of measurement.
Area of circle(A)= πr^2
We are given the circumference of circle(C)= 5π
This implies that 2πr= 5π because C= 2πr
On solving the equation,
2πr= 5π
r=5/2
=2.5
Now, area of circle(A)= πr^2
So, A= π (2.5)^2
A= 6.25π square meters
Hence, The area of circle with circumference 5πm is 6.25π square meters.
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How many congruent triangles can be made by joining the midpoints of the sides of triangle?
It is proved that a triangle is divided into four congruent triangles by the line segments connecting the middle points of its sides.
What are triangle?A triangle in geometry is a three-sided polygon with three edges and three vertices.
The fact that a triangle's internal angles add up to 180 degrees is its most crucial characteristic.
This characteristic is known as the triangle's angle sum property.
If ABC is a triangle, it is written as ABC, where A, B, and C represent the triangle's vertices.
In Euclidean geometry, a triangle is a two-dimensional shape that is represented by three non-collinear points in a single plane.
A closed, two-dimensional shape is a triangle. It is a polygon with three sides. Straight lines make up all of the sides.
The vertex is the intersection of two straight lines. The triangle therefore has three vertices.
Hence, It is proved that a triangle is divided into four congruent triangles by the line segments connecting the middle points of its sides.
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I really need help with this question x + 2/3 =9/10
Answer:
x = 7/30
Step-by-step explanation:
x + 2/3 = 9/10
(x + 2/3 = 9/10) * 30 ==> multiply the equation by 30.
30 is the LCM (Least Common Multiple) of 3 and 10.
30x + 2*30/3 = 9*30/10 ==> Now the denominators will be removed,
making the equation much easier to simplify
30x + 60/3 = 270/10 ==> simplify
30x + 20 = 27 ==> solve for x
30x = 7 ==> subtract 20 on both sides
x = 7/30 ==> simplify
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please help me with this question thank you
Answer:
2): x - $31 = $69
Step-by-step explanation:
See attached worksheet. The derivation of the answer, x - $69 = $31 (then x = $100) is shown. Convert the written question into an equation: If x is the amount given the cashier, then once $69 is subracted, Lemon receives $31:
x - $69 = $31
This can be rearranged to: x - $31 = $69, the second answer option. Other options have errors, noted by the red circles. There are no reasons that inequalities are involved, and seemingly random values of $61 and $30 have no relationship to the problem.
Answer:
B) Let x = amount paid to cashier
x - $31 = $69
x = $100
Step-by-step explanation:
We want to determine the amount Lemon paid the cashier. Therefore, the unknown variable is:
Let x = the amount he paid the cashier.If Lemon received $31 in change, then the amount he paid the cashier less the change is equal to the cost of the walnuts:
x - $31 = $69To solve the equation, add $31 to both sides:
x - $31 + $31 = $69 + $31x = $100Therefore, the amount Lemon paid the cashier was $100.
Is dilation horizontal or vertical?
Dilation is neither horizontal nor vertical. Dilation is a transformation that changes the size of a shape but does not change its orientation.
It can be represented by a formula in coordinate geometry: (x, y) → (kx, ky), where k is a scale factor (greater than 0). The scale factor determines the amount of scaling that is applied to the shape. For example, if k = 2, then the coordinates of the original point (x, y) would be multiplied by 2, resulting in a new point (2x, 2y). This would result in the shape being twice as big as the original. Similarly, if k = 0.5, then the coordinates of the original point (x, y) would be divided by 2, resulting in a new point (0.5x, 0.5y). This would result in the shape being half as big as the original. Therefore, dilation can be used to scale shapes both up and down in size, but it does not alter their orientation.
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plssss i’ll give points?
d
d
d
d
d
d
d
d
dd
d
d
d
d
Answer:
d
Step-by-step explanation:
Question
Isabella and Penelope are both draining their backyard swimming pools. Isabella’s pool holds 1,700 gallons and she is draining the water at a rate of 2.4 gallons per minute. Penelope’s pool holds 1,350 gallons and she is draining the water at a rate of 1.6 gallons per minute. How long will it take to have the same amount of water in both pools?
how many minutes?
PLEASE PLEASE HELP ME!!! Question
Let f(x)=8x. The graph of f(x) is transformed into the graph of g(x) by a vertical stretch of 4 and a translation of 7 units down.
What is the equation for g(x)?
Enter your answer by filling in the box.
g(x)=
the equation for g(x)= 32x-7
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
EXPLANATION
We want to find the equation for g(x).
First, the function is stretched vertically by a factor of 4. This means that the function changes as follows:
f(x)→4f(x)
Therefore, the function becomes:
4(8x)
=32x
Then, it is translated 7 units down. This means that the function changes as follows:
f(x)→f(x)-7
Therefore, the equation for g(x) is:
g(x)=32x-7
Hence, the equation for g(x)= 32x-7.
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Is 904 divisible by 8?
yes. 904 is divisible by 8 and quotient is 113.
Divisibility Rule of 8
If the last three digits of a number are divisible by 8, then the number is completely divisible by 8. Example: Take number 24344. Consider the last two digits i.e. 344. As 344 is divisible by 8, the original number 24344 is also divisible by 8.
What is an arithmetic progression?
"Arithmetic Progression is a sequence of numbers in order, in which the difference between any two consecutive numbers is a constant value."
Let, there are 'n' terms less than 904 divisible by 3.
Now, the first term divisible by 3 is(a) = 3.
The second term divisible by 3 is = 6.
Therefore, the common difference between terms divisible by 3 is(d)
The last term that is less than 904 and divisible by 3 is() 903.
Now, if we compare it with arithmetic progression, then:
The required number is 301.
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How do you find the end behavior of a graph with Asymptotes?
To find the equation of an asymptote from a graph, look for the line that the graph approaches but never touches. Then calculate the slope of the line and the y-intercept. This will give you the equation of the asymptote.
How to find an asymptote?To find the equation of an asymptote from a graph, look for the line that the graph approaches but never touches. Asymptotes usually run parallel to the x-axis or the y-axis, so look for a straight line that is horizontal or vertical.
Once you have identified the line, calculate the slope of the line and the y-intercept. The slope of the line is the ratio of the change in the y-values to the change in the x-values.
Once you have found the slope and the y-intercept, you can use the slope-intercept form of a line to find the equation of the asymptote: y = mx + b, where m is the slope and b is the y-intercept. This will give you the equation of the asymptote.
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How to find the average of 20,30,20,10,10,10
Answer: 4.16
Step-by-step explanation:
In ΔMNO, o = 8 inches, m m∠O=48° and m m∠M=28°.
The length of side m is, 5.08 inches.
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
In ΔMNO,
⇒ o = 8 inches, m ∠M = 28° and m ∠O = 48°.
Now, Let the length of side m = x
So, By sine rule, we get;
⇒ sin M / m = Sin O / o
Substitute all the values, we get;
⇒ sin28°/ x = sin 48° / 8
⇒ 0.47 / x = 0.74 / 8
⇒ x = 0.47 × 8 / 0.74
⇒ x = 5.08 inches
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Need the answer to the problem below.
((5 * 7) ^ 7) ^ 5 =
Answer:
Here is your answer
((5 * 7) ^ 7) ^ 5 =
(35 ^ 7) ^ 5 =
64339296875 ^ 5 = 1102507499354148695951786433413508348166942596435546875
Step-by-step explanation:
(r^4-3r^3+6r-18)/(r-3) Synthetic Division
The solution of (r⁴ - 3r³ + 6r - 18) / (r - 3) using synthetic division is r³ + 6.
What is the solution of (r⁴ - 3r³ + 6r - 18) / (r - 3) using synthetic division?The solution of (r⁴ - 3r³ + 6r - 18) / (r - 3) using synthetic division is given below:
(r⁴ - 3r³ + 6r - 18) / (r - 3)
The divisor is +3
The coefficients are:
1 -3 6 -18
Using synthetic division
the first coefficient is 1
the second coefficient = 1 * 3 + -3
the second coefficient = 0
the third coefficient = 0 * 3 + 6
the third coefficient = 6
the fourth coefficient = 6 * 3 + (-18)
the fourth coefficient = 0
Therefore, the solution = 1(r⁴/r) + 0(r³/r) + 6(r/r) + 0
the solution = r³ + 6
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Are the following expressions equivalent? How do you know?
-2(x-1)+3(x+2) and x+8
Yes, these expressions are equivalent.
What are equivalent expressions?Expressions that are equivalent do the same thing even when they have distinct appearances.
When we enter the same value(s) for the variable, two algebraic expressions that are equivalent have the same value (s).
We may be given equations with algebraic expressions on both sides in some situations.
The two expressions on either side of the equation must be comparable in order for the equation to hold true for all values of the variable. F
According to our question-
-2(x-1)+3(x+2)
further solving gives;
x+8
Hence, Yes, these expressions are equivalent.
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Lat Friday Scott had $26. Over the weekend he received ome money for babyitting. He now ha $39. How much money did he receive?
Scott receive 39-26= 13 dollar when Lat Friday Scott had $26. Over the weekend he received ome money for babyitting. He now ha $39.
Money is defined as something that serves as a medium of exchange.
Money has three functions that distinguish it from the rest of the assets: 1) It is a means of change; 2) It is a unit of account; and 3) It is a store of value.
1.- MEANS OF PAYMENT OR CHANGE: basically, it consists of the use of money to make any type of transaction, thus facilitating the exchange of goods, products and services. Deliver one thing for another.
2.- ACCOUNT UNIT: this fulfills the function of determining the units of value, or prices, that the goods, products and services have. It is related to the prices.
3.- DEPOSIT OF VALUE: it consists of being able to buy something in the future. Money has the capacity to remain stable over time, which allows a person who has a capital today to invest it in the following months, or even years
Lat Friday Scott had $26.
Over the weekend he received ome money for babyitting.
He now ha $39.
Scott receive 39-26= 13 dollar
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Taub is a high school basketball player. In a particular game, she made some three point shots and some two point shots. Taub made a total of 11 shots altogether and scored a total of 30 points. Graphically solve a system of equations in order to determine the number of three point shots made, x, and the number of two point shots made, y.
Which of these numbers lies between 8885 and 9885?
a}8875
b}8895
c} 9895
d}9975
Answer:
b
Step-by-step explanation:
What are the 7 steps to solve a math problem?
Answer:
sometimes there are more, sometimes there are less
Step-by-step explanation:
for example 1+1 only requires 1 step
hope this helps
Answer:
STEP 1: The Right Problem to Solve
STEP 2: Analyse the Problem
STEP 3: Define the Problem
STEP 4: Develop Opportunities (Possible Solutions)
STEP 5: Select the Best Solution
STEP 6: Implement the Solution
STEP 7: Evaluate and Learn
Step-by-step explanation:
Hope It Helps!
Determine whether quadrilateral ABCD is a rhombus, a rectangle, a square, or none. Select all that apply. Explain. A(−9, 1), B(2, 3), C(12, −2), D(1, −4)
The quadrilateral ABCD indicates that it is a rhombus.
What is rhombus?A quadrilateral with four equal-length sides is known as a rhombus in plane Euclidean geometry (plural rhombi or rhombuses). Another name for this object is an equilateral quadrilateral because all of its sides are equal in length.
The rhombus is frequently referred to as a "diamond" after the diamonds suit in playing cards, which resembles the projection of an octahedral diamond, or as a "lozenge," though the former term is occasionally used to refer specifically to a rhombus with a 60° angle which some authors refer to as a calisson after the French sweet , and the latter term is occasionally used to refer specifically
Lets mark the given points onto a graph
As you can see in the graph,
The points given for quadrilateral ABCD indicates that its is a rhombus
As, All sides are equal
opposites sides are parallel
Thus, The quadrilateral ABCD indicates that it is a rhombus.
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rewrite (-4)^2/7 in radical form
The expression (-4)^2/7 can be written as seventh root 16
What are radicals?The √ symbol that is used to denote square root or nth roots. A radical expression is an expression containing a square root. Radicand is a number or expression inside the radical symbol. Radical equation is an equation containing radical expressions with variables in the radicands.
For example, x^2/3, 3 is the root while 2 is the power of x . therefore the x^2/3 can be written as cube root of x squared.
Similarly in (-4)^2/7 2 is the power of (-4), this means (-4)² = 16
7 is the root of (-4)²
Therefore (-4)^2/7 can be written in radical for seventh root 16.
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A hore walk 4224 feet in 12 minute at thi rate how many yard doe a hore walk in twelve minute
1408 yards in 12 minutes doe a horse walk in twelve minute.
The term measurement in math is defined as the process of associating numbers with physical quantities and phenomena.
Here we have given that a horse can walk 4224 feet in 12 minutes.
As we all know that One yard is equal to three feet.
Therefore, if you want to get the yard equivalent, then we have to divide the feet term by 3.
Here we know that the horse walking distance in 12 minutes is 4224 feet.
Then the yard equivalent value is calculated as,
=> 4224/3
=> 1408
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Brianna i getting material for a chemitry experiment. Her teacher give her a container that ha 0. 85 liter of a liquid in it. Brianna need to ue 0. 2 of thi liquid for the experiment. How much liquid will Brianna ue?
Brianna will use 0.17 liters of the liquid
We know that an equation in which two ratios are set equal to each other is called as proportion.
Here, Brianna has a container which has 0.85 L of liquid in it.
Brianna needs to use 0.2 of this liquid.
Assume that 0.85 L represents the 100% of the liquid.
Then 0.2 represents 0.2 × 100 = 20% of the liquid .
Let Brianna will use x liters of liquid.
Consider a proportion.
[tex]\frac{0.85}{100} =\frac{x}{20}[/tex]
0.0085 = x/20
x = 0.0085 × 20
x = 0.17 liters
so, she will use 0.17 liters of liquid.
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Which of Newton's Laws explain why the table moves at 0.25 m/s/s when you push on it
Answer:
First Newton's Law of motion
Step-by-step explanation:
a body will remain in it's constant motion or at rest unless acted upon by an external force.
What is the answer of X² 6x 16?
The solution of (x^2 + 6x - 16) is ( x+8 )( x−2 ).
Lets solve the equation (x^2 + 6x - 16) in order to find its solution:
The equation is ( x^2 + 6x − 16 )
Now factorizing it
= ( x^2 + 8x − 2x − 16)
Taking x common from the first two terms and -2 common from the last two terms:
= [x (x+8) −2 (x+8) ]
Now,
= [ (x+8) (x−2) ]
Therefore, it is shown that the solution of the equation "(x^2 + 6x - 16)" is (x+8)(x−2) which is obtained through factorization.
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How long do eyes stay dilated?
Depending on the patient and the strength of the eye drop, eye dilation caused by eye drops used for eye examinations typically lasts between 4 and 24 hours.
What is eyes dilation?
There are causes of dilated pupils besides underlying disease. Examples include a pitch-black room, sleep, fear, or adverse drug reactions.
When you get your eyes dilated, your doctor uses special drops to open your pupils wide.
This let them get a look at your whole eye, including all the nerves and blood vessels at the back, to check for signs of diseases
When dilated, the pupil is unable to get smaller, and thus block out light in bright areas. This causes glare in your vision so you can't see things clearly.
The drops also make it difficult to focus on things up close, but usually don't affect distance vision.
So, Your eyesight will be impaired, so some experts say you should play it safe and not get behind the wheel will leads to affecting your driving
Hence, depending on the patient and the strength of the eye drop, eye dilation caused by eye drops used for eye examinations typically lasts between 4 and 24 hours.
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On a negatively skewed curve, which of the following statements is true?
a. The mean, median, and mode is the same.
b. The mode is lower than the mean which is lower than the median.
c. The median is lower than the mode which is lower than the mean.
d. The mean is lower than the mode which is lower than the median.
e. The mean is lower than the median which is lower than the mode.
On a negatively skewed curve The mean is lower than the median which is lower than the mode. The correct answer is E.
Why is a curve negatively skewed?In statistics, a distribution is said to be negatively skewed if more values are concentrated on the right side (tail) of the distribution graph and the left tail is longer.
Positive skew is characterized by a longer or fatter tail on the right side of the distribution, and negative skew is characterized by a longer or fatter tail on the left. These two skews represent the direction or weight of the distribution.
The central tendency of a distribution is defined as its mean, median, and mode. The fact that the mean, median, and mode of the typically skewed data are all equal demonstrates the equality of wealth and income distribution as well as the significance of governmental policies and economic progress.
The distributions have a wide gap because the negative side is so heavily weighted. For instance, the data shows that the distribution of income is unequal and negatively skewed, and the central tendency is as follows:
Mode > Median > Mean.
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Write and solve an equation to find the value of x below.
Answer:
Equation:
[tex]7x + 10 = 150[/tex]
Value of x:
[tex]x = 20[/tex]
Step-by-step explanation:
In the figure, we are given 2 angles, 150° and (7x+10)°.
These 2 angles are vertical angles because they are directly opposite of each other and formed by intersecting lines.
Vertical angles are congruent, which means the same.
Thus, to make an equation to solve for x, we need to set the angles equal to each other.
Equation: [tex]7x + 10 = 150[/tex]
Solving for x:
[tex]7x + 10 = 150[/tex]
⇒ [tex]7x = 140[/tex] . . . . . . . . . subtract 10 from both sides of the equation
⇒ ∴ [tex]x = 20[/tex] . . . . . . . . . divide both sides by 7 to isolate x
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Answer:
Step-by-step explanation:
Using VAT:
Angles opposite each other are consider equal.
Therefore : 7x+10 = 150
Solve for x: 7x= 150-10
x= 140/7
x= 20
To check : 7x+10 = 150
7(20)+10=150
140+10=150
150=150 (correct)
The notation "f(x)" (f of x) is another way of representing y-values in a function
The given statement "The notation "f(x)" (f of x) is another way of representing y-values in a function" is true because it represents the output values.
What is a function?In Mathematics, a function simply refers to a mathematical expression which can be used for defining and showing the relationship that exist between two or more variables in a data set.
This ultimately implies that, a function typically shows the relationship between input values (x-values or domain) and output values (y-values or range) of a data set, as well as showing how the elements in a table are uniquely paired (mapped).
Generally speaking, the output values (y-values or range) of a data set (function) are plotted on the y-coordinate of a graph and they are typically denoted by either the notation f(x) or y.
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Complete Question:
The notation "f(x)" (f of x) is another way of representing y-values in a function. True or False?
bro how does 90 go into 30 explain
Step-by-step explanation:
division so like it would go in 3 times I think