The inequality equation is x ≥ 48 inches
What is an Inequality Equation?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.
Given data ,
Let the minimum height to ride the roller coaster be represented as x
Now , the required height to ride the roller coaster is = 48 inches
So , the individual must be equal to 48 inches tall
x = 48 inches
And , the individual could be greater than 48 inches tall
x > 48 inches
Substituting the values in the equation , we get
x ≥ 48 inches
Hence , the inequality is x ≥ 48 inches
To learn more about inequality equations click :
https://brainly.com/question/11897796
#SPJ1
At a basketball game, a team made 53 successful shots. They were a combination of 1- and 2-point shots. The team scored 89 points in all. Write and solve a system of equations to find the number of each type of shot.
The number of the one-point shot is 17 and the number of the 2 point shot is 36.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that at a basketball game, a team made 53 successful shots. They were a combination of 1- and 2-point shots.
Let the one-point shot is x and the 2 point shot is y. The equations can be written as below:-
x + y = 53
-x - 2y = -89
_________
y = 36
The value of x will be calculated as:-
x + y = 53
x + 36 = 53
x = 53 - 36
x = 17
Hence, the one-point shot number is 17, and the two-point shot number is 36.
To know more about an expression follow
https://brainly.com/question/27666541
#SPJ1
Given: A(2, 1), B(6, 3), C(8, 1). D(4,2). and E(5, 1) Prove: ABC~ADE
The proof that the angles are similar have been done below
How to do the proofTo prove that two triangles are similar, we need to show that they have congruent angles.
We can use the Angle-Angle (AA) Similarity theorem, which states that if two angles of one triangle are equal to two angles of another triangle, then the two triangles are similar.
In triangle ABC, angles A and B are equal to angles A and D in triangle ADE. So, according to the AA Similarity Theorem, triangles ABC and ADE are similar.
Thus, we can write:
ABC ~ ADE
Read more on congruent angles here:https://brainly.com/question/2938476
#SPJ1
why is it unlikely that your height is exactly 70 inches? the variable of height is continuous so there are a finite number of possible values within the real limits of the score. the variable of height is continuous so there are an infinite number of possible values within the real limits of the score.
It is unlikely for your height to be 70 inches exact because there are infinite number of possible ways.
Height is considered a continuous variable because it can take on any value within a certain range, including fractional values. Continuous variables are not limited to specific set of values, but can take on any value within a specified range. This is in contrast to discrete variables, which can only take on a specific, limited set of values. The continuous nature of height allows for precise measurement and calculation, as opposed to rounding to the nearest whole number.
When we talk about height, height is measure and hence it is a continuous variable. This means that it is possible for a person's height to be exactly 70 inches, but it is unlikely due to the vast number of possible values.
Hence, it is very unlikely for height to be specific.
To learn more about continuous variable Click here:
brainly.com/question/24253024
#SPJ4
The vector a = pi+qj, where p and q are positive constants, is such that |a| = 15. Given that a makes an angle of 55 with i, find the values of p and q
As a result, the vector a = pi+qj, where p and q are positive constants, has p=0.573 and q=11.991 so that |a| = 15.
what is vector ?A vector is an quantity with direction and magnitude but no controlling idea in mathematics. Examples of such statistics include shock and velocity. A vector is something that has both and direction. A vector can be thought of technically as a pointed line segment, whose length relates to the vector's magnitude and whose motion is indicated by an arrow. A quantity or phenomenon known as a vector has two distinct assets: size and direction. The phrase also refers to a mathematical or geometrical representation of these numbers. Emfs, weight, momentum, power, and velocity are examples of vectors in nature.
Given
ā= pi +qj = and |al = p2 +q2 = 15
\vec{a} makes an angle of 55 with i i.e. (pi +9]). = cos55
(pi +bj]). = cos55 = 0.573
=>p = 0.573
:.q2 = 15^2 – (0.573)2 = 224.64
=> q = 11.991
As a result, the vector a = pi+qj, where p and q are positive constants, has p=0.573 and q=11.991 so that |a| = 15.
To know more about vector visit:
https://brainly.com/question/30202103
#SPJ1
Use the graph to find the average rate of change from x=-1 to x=1.
Answer:
3
Step-by-step explanation:
[tex]\displaystyle \frac{f(b)-f(a)}{b-a}\\ \\=\frac{f(1)-f(-1)}{1-(-1)}\\ \\=\frac{3-(-3)}{1+1}\\\\=\frac{3+3}{2}\\ \\=\frac{6}{2}\\ \\=3[/tex]
TrianglePQR has two known interior angles of 66° and 100°.
TriangleRST has two known interior angles of 14° and 100°.
What can be determined about whether trianglesPQR and RST are similar?
Responses
A. Similarity cannot be determined from the given information.
B. The triangles are not similar.
C. All interior angles must be given to determine similarity.
D. The triangles are similar.
Calculate the value of a, A and C in triangle ABC given that b= 17.23cm, c= 10.86cm and B=101.25°
The value of a, A and C are 12.31 cm,44.07° and 34.68° respectively
What is sine rule?The sine rule states that if a, b and c are the lengths of the sides of a triangle, and A, B and C are the angles in the triangle; with A opposite a, etc., then a/sinA=b/sinB=c/sinC.
To find C:
b/sinb = c/sinC
17.23/sin101.25 = 10/sinC
17.23 × sin C = sin101.25 × 10
17.23× sin C = 0.98 ×10
sinC = 9.8/17.23
sinC = 0.569
C = sin^-1(0.569)
C = 34.68°
The sum of angle in a triangle is 180
A = 180-(101.25+34.68)
A= 180-135.93
A = 44.07°
a/sinA = b/sin B
a/sin 44.07 = 17.23/sin101.25
a= sin 17.23 × sin 44.07/sin101.25
a =( 17.24× 0.70)/0.98
a = 12.31 cm
learn more about sine rule from
https://brainly.com/question/20839703
#SPJ1
19. A savings account earns 4% annual simple interest.
The principal is $1700. What is the balance after 6
years?
By simple interest , 2108 is the balance after 6 years.
What does compound and simple interest mean?
Simple interest and compound interest are the two methods that can be used to compute interest. The principal, or initial amount of a loan, is used to compute simple interest.
Compound interest is often referred to as "interest on interest" since it is computed using the main amount and the interest that has accrued over the course of previous periods.
annual simple interest = 4%
principal = $1700
Time = 6 years
interest = PRT/100
= 1700 * 6 * 4/100
= 408
the balance after 6 years = 1700 + 408
= 2108
Learn more about Simple interest
brainly.com/question/25845758
#SPJ1
over an interval of 3.0 s the average rate of change of the concentration of a was measured to be -0.0680 m/s. what is the final concentration of c at the end of this same interval if its concentration was initially 2.700 m?
The equation for the rate of change of concentration is Δc/Δt, and this is equal to the rate of change of concentration over a given interval, -0.0680 m/s.
To calculate the final concentration, we must use the equation Δc = rate × time, where Δc is the change in concentration, and rate and time are the rate of change of concentration and the interval, respectively. Plugging in our values, Δc = -0.0680 m/s × 3.0 s = -0.204 m. This means that the final concentration of c is 2.700 m - 0.204 m, which is equal to 2.496 m.
To summarize, the rate of change of concentration equation is Δc/Δt = rate of change, and the equation to calculate the final concentration is Δc = rate × time. Plugging in the rate of change and interval, we get Δc = -0.0680 m/s × 3.0 s = -0.204 m, which gives us the final concentration of c at the end of the same interval as 2.496 m.
Learn more about equation here:
https://brainly.com/question/14686792
#SPJ4
Here is a graph of P, an insect population, W weeks after it was first measured. The population grows Exponentially.
Please answer the following questions. (I WILL GIVE +POINTS)
Question 1
We can say that [tex]P=a \cdot b^w[/tex] for constants [tex]a[/tex] and [tex]b[/tex].
Substituting the given points into this equation yields [tex]ab=900[/tex] and [tex]ab^3=8100[/tex]. We need to find the value of [tex]b[/tex] in this system.
[tex]\frac{ab^3}{ab}=\frac{8100}{900} \implies b^2=9[/tex]
Since the graph shows exponential growth, take the positive square root. So, [tex]b=\boxed{3}[/tex].
Question 2
We need to find the value of [tex]a[/tex].
[tex]ab=900 \implies 3a=900 \implies a=\boxed{300}[/tex]
two different numbers are selected at random from {1, 2, 3, 4, 5} and multiplied together. what is the probability that the product is even?
Answer:
Probability of an even number product as requested = 7/10 = .7 = 70%
Step-by-step explanation:
Combinations of 2 digits from among 5 = 5!/(3!)(2!) = 10. Those combinations of 2 digits resulting in an even number product are even*even and even*odd. There are 2 even digits, (2,4) and 3 odd digits, (1,3,5).
Combinations of 2 even digits and 3 odd digits = 3*2 = 6. Combinations of 2 exact digits = 1*1 = 1. Thus, 6+1 = 7 different 2-digit products result in even numbers from among 10 possible 2-digit products.
Probability of an even number product as requested = 7/10 = .7 = 70%
in the following, we only consider graphs with 2 or more vertices. a cut in a graph is a subset of edges whose removal leaves a graph with more than one connected component. what is the minimum size of a cut where size is number of edges in the cut, for a graph that has more than one connected component?
The minimum size of a cut where size is number of edges in the cut, for a graph that has more than one connected component is 1.
In graph theory, a bridge, also known as a cut-edge, is a fundamental concept that refers to an edge in a graph that has the property of disconnecting the graph when it is removed. This means that when an edge is considered a bridge, the removal of that edge would result in an increase in the number of connected components in the graph. The importance of bridges in graph theory lies in the fact that they provide a way to break down a complex graph into smaller, simpler components that can be analyzed and understood individually. Bridges can be found in many different types of graphs, including undirected graphs, directed graphs, and weighted graphs. It is also important to note that in a graph with more than one connected component, there must exist at least one bridge, meaning that the minimum size of a cut in a graph is 1. This is because a bridge is the edge that separates the graph into two or more separate components.
The minimum size of a cut in a graph is 1. This occurs in the case of a "bridge", where removing a single edge from the graph would result in two separate connected components. In any graph with more than one connected component, there must exist at least one bridge, meaning that the minimum size of a cut is 1.
To learn more about bridges click here:
brainly.com/question/13148971
#SPJ4
PLS HELP.....5. Decide whether the polygons are similar, not similar, or not enough information is given. If similar, write a similarity statement. If not, explain why.
The two quadrilaterals TUVW and EFGH are similar.
What are similar polygons?Those polygons look the same but are different in size.
And in similar polygons,
the corresponding sides are in constant proportion to each other and the corresponding angles are equal to each other.
Given:
TUVW and EFGH are the two quadrilaterals.
The sides of the polygon TUVW are equal.
And the sides of the polygon EFGH are equal.
That means the corresponding sides will have a constant ratio.
And corresponding angles are congruent.
So, the polygons are similar.
To learn more about similar polygons;
https://brainly.com/question/14926756
#SPJ1
-6y+6x=0 written in standrad form
Answer:
6x-6y=0
Step-by-step explanation:
a recent study of 750 internet users in europe found that 35% of internet users were women. what is the 95% confidence interval estimate for the true proportion of women in europe who use the internet?
The 95% confidence interval estimate for the true proportion of women in Europe who use the internet is = (34.968%, 35.032%) can be calculated using the following formula:
p ± z*(√(p(1-p))/n)
where pis the sample proportion (35% in this case), z is the z-score for a 95% confidence level (approximately 1.96), and n is the sample size (750 in this case).
Substituting the values, we get:
35% ± 1.96 * (√(35%(1-35%)/750))
= 35% ± 1.96 * (√(0.35 * 0.65/750))
= 35% ± 1.96 * (√(0.000936))
= 35% ± 0.0312
To know more about Algebra
https://brainly.com/question/4344214
#SPJ4
Sophia remodeled her kitchen and bought a new range, a new microwave, a new dishwasher, and a new refrigerator. The range costs $900 , the microwave costs $275, the dishwasher costs $490, and the refrigerator costs $1450 . What was the total cost of the four appliances?
Answer:
3,115
Step-by-step explanation:
900 + 275 + 490 + 1450 = 3,115
why is the testing strategy important in the design of an experiment?multiple choicea good strategy will produce accurate results.good testing strategy will always disprove the hypothesis.good testing strategy will allow you to prove your hypothesis to be true.
The testing strategy important in the design of an experiment because a good strategy will produce accurate results. So the option a is correct.
The Design of Experiments (DOE) method is a statistical methodology for planning, carrying out, and analyzing tests. Any program based on DOE principles should start early in the test planning process.
The test planners should assemble a group of subject matter experts who can identify the primary quantitative mission-focused measures of interest (in DOE parlance: response variables) that will characterize the system's performance in the context of a mission-oriented evaluation.
Environmental and operational factors that are expected to drive system performance, as well as their levels, should be identified by test planners.
To learn more about Design of Experiments link is here
brainly.com/question/1418338
#SPJ4
The complete question is:
Why is the testing strategy important in the design of an experiment?
Multiple Choice
a. A good strategy will produce accurate results.
b. Good testing strategy will always disprove the hypothesis.
c. Good testing strategy will allow you to prove your hypothesis to be true.
Help me pls pls ill give brainliest! Identify the figure shown in the front, top, and side views.
The solution to the figure shown is Option D.
What is Reflection?Reflection is a type of transformation that flips a shape along a line of reflection, also known as a mirror line, such that each point is at the same distance from the mirror line as its mirrored point. The line of reflection is the line that a figure is reflected over. If a point is on the line of reflection then the image is the same as the pre-image. Images are always congruent to pre-images.
The reflection of point (x, y) across the x-axis is (x, -y). When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the y-axis is (-x, y).
Given data ,
Let the figure be represented as A
Now , the front part of the figure is shown
And , on reflection , the position of the figure will be changed
The top part of the figure has 4 cubes
And , the side view of the figure has 2 cubes
From the options , we can see that the Option D satisfies the figure shown in the question
As , the front view will have a cube above the second cube and top view will show 4 cubes and the side view will show 2 cubes respsectively
Hence , the figure is solved
To learn more about reflection click :
https://brainly.com/question/4681298
#SPJ1
solve the inequality 3x > or equal to 9 SHOW YOUR WORK
Answer:
x ≥ 3
Step-by-step explanation:
3x ≥ 9
x ≥ 3
A truckload of Kurt's Dirt sells for $120, but you are able to get a truckload for $90. Find the discount and the rate of discount.
The discount is $30 and the rate of discount for the truckload of Kurt's Dirt selling for $120 but bought for $90 is 25%.
What is the discount rate?The discount rate refers to the percentage of price reduction offered to retail customers.
To compute the discount rate, we first determine the amount of discount. Then the result is expressed as a percentage of the initial price before the discount.
The selling price of a truckload of Kurt's Dirt = $120
The discounted price = $90
The amount of discount = $30 ($120 - $90)
Discount rate = 25% ($30/$120 x 100).
Learn more about discount rates at https://brainly.com/question/13660799
#SPJ1
Sunita creates a scale model of an
aeroplane.
The scale of the model is 5 cm to 7 m.
Sunita's model has a wingspan of 46
cm.
What is the wingspan of the real
aeroplane?
Answer:
64.4 meters
Step-by-step explanation:
divide 7000 cm (7 metre) by 5 cm
you get 1400
multiply that by the smaller wingspan
Answer:
65.71
Step-by-step explanation:
According to the model's scale, which is 5 cm to 7 m, there are 7 m on the actual plane for every 5 cm on the model. By dividing the wingspan of the model by the scale factor and multiplying the result by the equivalent size in metres, we may determine the real plane's wingspan.
With a model's wingspan of 46 cm, this means: (46 cm) * (7 m/5 cm) = 65.71 m (46 cm) / (5 cm/7 m)
The actual airplane's wingspan is therefore roughly 65.71 metres.
Hope it helps! : )
Solve for x. X-1/4(12-x)=x+3(4-x)-2x
Answer:
x = Approximately 4.92. (Tech: 4.923076923076923)
Step-by-step explanation:
To solve for x in the equation,
x - 1/4(12 - x) = x + 3(4 - x) - 2x
Expand the terms on the right side:
x - 1/4(12 - x) = x + 12 - 3x - 2x
Combine like terms:
x - 1/4(12 - x) = -3x + 12
Isolate x on one side of the equation:
1/4(12 - x) + 3x = 12 + x
Combine like terms:
1/4(12 - x) + 3x = 13
Distribute 3x:
1/4(12 - x) + 3x = 13
3x = 13 - 1/4(12 - x)
Multiply both sides by 4:
12x = 52 - (12 - x)
Combine like terms:
13x = 64
Finally, divide both sides by 13:
x = 4.923076923076923
So the value of x is approximately 4.92.
Outside temperature over a day can be modeled as a sinusoidal function. Suppose you know the high temperature for the day is 85 degrees and the low temperature of 45 degrees occurs at 3 AM. Assuming t is the number of hours since midnight, find an equation for the temperature, D, in terms of t.
Answer:
D(t) = 20 * sin(B * t - B * 3 + k * 2π) + 45 = 20 * sin(B * (t - 3) + k * 2π) + 45
Step-by-step explanation:
The temperature over a day can be modeled by a sinusoidal function of the form:
D(t) = A * sin(Bt + C) + D
Where A is the amplitude (half the difference between the high and low temperatures), B is the angular frequency, C is the phase shift, and D is the vertical shift.
From the given information, we know:
The high temperature is 85 degrees.
The low temperature of 45 degrees occurs at 3 AM, or 3 hours after midnight.
So, the amplitude is (85 - 45)/2 = 20
The temperature at 3 AM can be found by setting t = 3:
D(3) = 20 * sin(B * 3 + C) + 45
So, the vertical shift is 45.
Finally, we can find the phase shift by using the fact that the low temperature occurs at 3 AM:
C = -B * 3 + k * 2π
Where k is an integer.
Putting it all together, we get:
D(t) = 20 * sin(B * t - B * 3 + k * 2π) + 45 = 20 * sin(B * (t - 3) + k * 2π) + 45
This is the equation for the temperature, D, in terms of t.
Beheheuejejjehdbdbbsjsnskskak
24
24x3.14
75.36
75.36/3.14
= 24 its b
Answer: 36pi(cm)^2 Answer B
Step-by-step explanation:
Scientists often use a pan balance to measure mass when doing experiments. The equation 5 +4 -2 = 9 - 2 represents when a scientist takes 2 units of mass from
each side of a pan balance. Construct an argument to explain how the scientist knows that the pans are still in balance.
amount of mass was
so the mass in the pans
and the pans stay in balance.
The equation 5 + 4 - 2 = 9 - 2 represents a situation in which the scientist is measuring the mass of an object using a pan balance.
The equation shows that 5 units of mass are added to one pan, 4 units of mass are added to the other pan, and then 2 units of mass are removed from each pan. The equation shows that the total mass in both pans remains unchanged, which indicates that the pans are still in balance. The fact that the equation is balanced, with the same amount of mass on each side, suggests that the pans are in balance because the mass has been distributed evenly between them. The balance operates on the principle of equal weights, where equal weights on opposite sides will cancel each other out, resulting in a balanced state.
Therefore, by removing 2 units of mass from each pan, the scientist is maintaining the balance between the two pans. As long as the pans remain balanced, the scientist can accurately determine the mass of the object being measured. The equation 5 + 4 - 2 = 9 - 2 represents the scientist's assurance that the pans are still in balance and that the measurement of mass can be considered accurate.
To know more about measuring the mass click here:
brainly.com/question/1482762
#SPJ4
Which of the numbers listed below are solutions to the equation below?
Check all that apply.
The number listed below that are the solution of equation are option A 16 and option C 1.
What is square root?The opposite of squaring an integer is finding its square root. The result of multiplying a number by itself yields its square value, while the square root of a number can be found by looking for a number that, when squared, yields the original value.
The given equation is:
√s² = s
The numbers that satisfy thus equation are 16 and 1.
Negative numbers do not satisfy the equation as the square root of a number is a positive number, and hence the two sides will not be equal.
Hence, the number listed below that are the solution of equation are option A 16 and option C 1.
Learn more about square root here:
https://brainly.com/question/29286039
#SPJ1
6 1 over 2 ft= pls help
Answer: Depends on the unit. IF INCHES: 6 1/2 = 78 Inches
Step-by-step explanation:
6.5 x 12 = 78
Please reply if not inches, I can try to help you after ^^
7. which best describes the shape of the distribution? a. nearly symmetric b. right skewed c. left skewed d. uniform e. bimod
Uniform distribution best describes the given shape of the distribution.
The uniform distribution is a probability distribution that has the same probability of occurrence across a defined interval. It is also sometimes referred to as a rectangular distribution or a flat distribution.
The uniform distribution is defined by two parameters, a and b, which represent the lower and upper bounds of the interval. For example, if a uniform distribution is defined between 0 and 1, the probability of any number between 0 and 1 occurring is equal and the same.
The uniform distribution has several properties, including:
The mean of the distribution is equal to the midpoint of the interval, (a + b) / 2.
The variance of the distribution is equal to (b - a)² / 12.
The distribution is symmetrical, meaning that it is equally likely for any value within the interval to occur.
Applications of the uniform distribution include modelling random processes such as coin flips, die rolls, and random sampling. It is also often used as a prior distribution in Bayesian statistics.
Hence, the correct answer is A.
To know more about Uniform distribution, here
https://brainly.com/question/15874199
#SPJ4
--The given question is incorrect; the correct question is
"Which BEST describes the shape of the distribution?
A) uniform
B) skewed right
C) skewed left
D) roughly symmetrical"--
Is x Is -2 and y is 4
Can someone help me please I didn’t realize this was the last question and it closes in some minutes I really need help please
Answer:
16
Step-by-step explanation:
Any number to the power of 0 is 1
1/4^-2 -> 4^2 -> 16
Answer: 16
Step-by-step explanation:
-2^0 = 1
y^-2 => 1/y^2 => 1/4^2 = 1/16
1/ (1/16)
1 x 16/1 = 16
Please Help, step by step needed
The value of the trigonometry identity is tan(2x) = 4/7[√2]
How to determine the trigonometry identityFrom the question, we have the following parameters that can be used in our computation:
cos(x) = 2√5/5 and 3π/2 < x < 2π
Start by calculating the sine function sin(x) using
sin(x) = √[1 - cos²(x)]
So, we have
sin(x) = √[1 - (2√5/5)²]
This gives
sin(x) = 1/10[√10]
The tangent is then calculated as
tan(2x) = (2sin(x)cos(x))/(cos²(x) - sin²(x))
This gives
tan(2x) = (2 * 1/10[√10] * (2√5/5))/(((2√5/5))² - (1/10[√10])²)
Evaluate
tan(2x) = 4/7[√2]
Read more about trigonometry at
https://brainly.com/question/24349828
#SPJ1