This means that when function f(x) = 4x²- 1 and g(x) = 4x + 8, f(2) - g(2) = 15, and by using the equation as a substitute.
what is function ?
A function in mathematics is a relationship between a set of inputs (also referred to as the domain) and a set of outputs (also referred to as the range), where each input has a unique outcome. Typically, the variable x stands for the input values, the variable y for the output values, and the variable f for the function itself (x). Tables, graphs, equations, and verbal descriptions can all be used to represent functions. In a wide variety of disciplines, including science, engineering, economics, and social studies, they are employed to model relationships between quantities. Functions are frequently used to explain the relationship between two quantities.
given
We must first determine the values of f(2) and g(2) independently using the provided functions in order to evaluate f(2) - g(2):
f(2) = 4(2)² - 1 = 15
g(2) = -4(2) + 8 = 0
These values can now be added to the expression f(2) - g(2) as a substitute:
f(2) - g(2) = 15 - 0 = 15
This means that when f(x) = 4x²- 1 and g(x) = 4x + 8, f(2) - g(2) = 15, and by using the equation as a substitute.
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if x=4 what is the value of 9x 22
Answer:
58
Step-by-step explanation:
9x + 22 x = 4
9(4) + 22
36 + 22
58
A ball is thrown upward with an initial velocity of 75 feet per second and an initial height of 4 feet. Given h(t) = −16t2 + v0t + h0, complete function h to model the vertical motion of the ball. Then find the ball’s maximum height, to the nearest foot.
The highest height of the ball, to the closest foot, is stated to be around 88 feet.
What is velocity, for instance?Velocity may be referred to as the speed when something moves toward a particular location. as the rate of a car driving northwest on a highway or the pace at which a rocket takes off.
The function h(t) = −16t² + v0t + h0 models the vertical motion of the ball, where t is time in seconds, v0 is the initial velocity in feet per second, and h0 is the initial height in feet.
In this case, the beginning height is 4 feet, and the velocity of the fluid equals 75 feet per second. As a result, the following outlines the function h(t) which it simulates the ball's vertical motion:
h(t) = -16t² + 75t + 4
The point of the concave function h must be located in order to determine the ball's peak (t) = -16t² + 75t + 4.
The t-coordinate of the vertex is given by t = -b/2a, where a = -16 and b = 75. Substituting these values, we get:
t = -75 / (2 x (-16)) = 2.34375
We enter this t quantity into the procedure h(t) to get the maximum height:
h(2.34375) = -16(2.34375)² + 75(2.34375) + 4 = 87.74
To the nearest foot, the ball therefore achieves a peak of 88 feet.
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What is the vertical asymptote and horizontal asymptote pic attached below
The required horizontal and vertical asymptote is x = 2, -2, and y = 1/4.
How to find Asymptotes?To find the vertical asymptotes of the given rational function, we need to look for values of x that make the denominator zero, since division by zero is undefined.
The denominator of the function is 4(x-2)(x+2), so the vertical asymptotes occur at x = 2 and x = -2. Therefore, the vertical asymptotes are:
x = 2, -2
To find the horizontal asymptote, we can use the fact that as x goes to positive or negative infinity, the function approaches the ratio of the leading coefficients of the numerator and denominator.
In this case, the leading term in the numerator is x² and the leading term in the denominator is 4x². Therefore, as x approaches positive or negative infinity, the function approaches:
y = (x² / 4x²) = 1/4
So, the horizontal asymptote is:
y = 1/4
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A man walks for 40 minutes at 60km/h. he then travels for two hrs in a minibus at 80 km/h. Finally he travel by but for an one hour at 60km/h - Find his speed for the whole journey?
Answer: 71km/h
Step-by-step explanation:
He traveled 260km according to what you gave and 100 km using 60 km/h and 160km using 80km/h Also is this man has rocket since he walked 60km/h. His whole journey take 3h40m. Just take 260 divide by 3h40m so you got the final answer about 71km/h
Lori is 8 years old. In 5 years, her cousin Philip will be twice as old as Lori will be. Write the ratio of Philip's age now to Lori's age now.
Answer: 13:26
Step-by-step explanation:
8 + 5 = 13. Philip will be twice as old as Lori will be.
13 x 2 = 26
So, the ratio will be 13:26
Hope this helps!
a suitcase with measures 80cm*48cm*24cm is to be covered witha trapulin cloth .how many meters of tarapaulin of width 96cm is reqired to cover 100 such suitcases
To cover one suitcase, we need to find the surface area of the suitcase that needs to be covered. The surface area of the suitcase can be calculated by finding the sum of the areas of its six sides.
Area of one side of the suitcase = length x height = 80cm x 48cm = 3840 sq.cm
Area of the opposite side of the suitcase = length x height = 80cm x 48cm = 3840 sq.cm
Area of the other four sides of the suitcase = width x height = 24cm x 80cm + 24cm x 80cm + 24cm x 48cm + 24cm x 48cm = 7296 sq.cm
Total surface area of one suitcase = 3840 sq.cm + 3840 sq.cm + 7296 sq.cm = 14976 sq.cm
To cover 100 such suitcases, we need to multiply the surface area of one suitcase by 100.
Total surface area of 100 suitcases = 14976 sq.cm x 100 = 1497600 sq.cm
To find the amount of tarapaulin required, we need to divide the total surface area of 100 suitcases by the width of the tarapaulin.
Amount of tarapaulin required = (1497600 sq.cm) / (96 cm) = 15600 sq.cm
We now need to convert the required area into meters.
1 sq.cm = 0.0001 sq.m
15600 sq.cm = 15600 x 0.0001 sq.m = 1.56 sq.m
Therefore, we need 1.56 sq.m of tarapaulin to cover 100 such suitcases, assuming that there is no overlap of the tarapaulin.
In 6th grade you likely solved which one is a better buy problems?
Consider: $68/10 tickets or $15/2 tickets
Which one is a better buy? How do you know?
$68/10 is better to buy as price of one ticket will be $6.8 which is less than that of $7.5 for other ticket.
Explain about the unit value?The appraisal of a single item or part within one group is known as unit value.
The unit value is typically the result of dividing the price or worth of a set of things by the total number of items.The unit price is the cost of a single object or measuring unit, which can be a pound, a kilogramme, or a pint, and it's utilized to compare the prices of similar products offered in various weights and quantities. Selling more than one unit of the same product at a discount from its unit price is known as multiple pricing.So,
$68/10 tickets = 68/10
$68/10 tickets = $6.8 for each ticket.
Now,
$15/2 tickets = 15/2
$15/2 tickets = $7.5 for each ticket.
Thus, $68/10 is better to buy as price of one ticket will be $6.8 which is less than that of $7.5 for other ticket.
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two numbers sum 20 difference of 9
Answer: 14.5 and 5.5
Step-by-step explanation:
The issue is using whole numbers. 14+6=20, but 14-6=8. 15+5=20, but 15-5=10. If we use decimals, we can get in between the numbers a little to get 9. 14.5+5.5=20, but unlike 14+6, 14.5 gives 5 a tiny boost to push it to 14.5-5.5=9. Hope that helps!
Answer:
14.5
5.5
Step-by-step explanation:
14.5+5.5=20
14.5-5.5=9
Mr. Clark suspended 2 out of every 5 students in the 9th grade. If there are 200 total 9th grade students, how many were suspended?
Find the area of a regular 8 sides polygon with radius 4 units long.
The area of a regular 8 sides polygon with radius 4 units long is 309 unit²
What is an area?Area is defined as the total space taken up by a flat (2-D) surface or shape of an object.
The space enclosed by the boundary of a plane figure is called its area.
The area of a figure is the number of unit squares that cover the surface of a closed figure.
Given is a regular 8 sides polygon with radius 4 units long, we need to find its area,
We know that the regular 8-sided polygon is called an Octagon.
Area of an octagon =
A = 2(1+√2)a²
a = side
A = 2(1+√2)8²
A = 2(2.41)64
A = 309
Hence, the area of a regular 8 sides polygon with radius 4 units long is 309 unit²
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what is the value of p
Answer:
52 - 13 = 39 so p = 39
Step-by-step explanation:
Answer:
P=25
Step-by-step explanation:
180=52+90+p+30
180=155+P
180-155=p
p=25
Assignment 2: Please use the IQ data below and assess whether any of the IQ scores are statistically significantly high or low. Please provide corresponding z-score and percent of scores below from the table in the book. That is, you will need to provide the percent of all scores that falls BELOW the z-score you calculate (see z table in back of book gives you this percent). This is often referred to as the percentile rank.
Also, you will need to discuss whether each z- score meets the criteria of “statistically significant” and why. Please use your book to help with this part. While "statistical significance" is determined by an arbitrary score on the z-table, there is a score one must cross to be considered significant (.05 percent for example).
IQ Scores: 100, 90, 110, 160, 90, 85, 65, 100, 95, 98
The statistical significance does not necessarily imply practical significance. In this case, while the IQ score of 160 is statistically significant, it may not necessarily be practically
What is corresponding z-score and percent of scoreTo assess whether any of the IQ scores are statistically significantly high or low, we need to calculate the z-score for each score. The formula for calculating the z-score is:
z = (x - μ) / σ
Where x is the IQ score, μ is the mean IQ score, and σ is the standard deviation of IQ scores.
First, we need to calculate the mean and standard deviation of the IQ scores:
Mean = (100 + 90 + 110 + 160 + 90 + 85 + 65 + 100 + 95 + 98) / 10 = 99.3
Standard deviation = √[((100-99.3)² + (90-99.3)² + (110-99.3)² + (160-99.3)² + (90-99.3)² + (85-99.3)² + (65-99.3)² + (100-99.3)² + (95-99.3)² + (98-99.3)²) / 10] = 39.77
Now we can calculate the z-score for each IQ score:
z1 = (100 - 99.3) / 39.77 = 0.018
z2 = (90 - 99.3) / 39.77 = -0.233
z3 = (110 - 99.3) / 39.77 = 0.27
z4 = (160 - 99.3) / 39.77 = 1.53
z5 = (90 - 99.3) / 39.77 = -0.23
z6 = (85 - 99.3) / 39.77 = -0.36
z7 = (65 - 99.3) / 39.77 = -0.86
z8 = (100 - 99.3) / 39.77 = 0.017
z9 = (95 - 99.3) / 39.77 = -0.108
z10 = (98 - 99.3) / 39.77 = 0.032
Using the z-table, we can find the percent of scores below each z-score:
z1 = 0.018 or 70.01%
z2 = -0.233 or 34.67%
z3 = 0.27 or 75.01%
z4 = 1.53 or 83.68%
z5 = -0.23 or 34.67%
z6 = -0.36 or 37.47%
z7 = -0.86 or 45.16%
z8 = 0.017 or 70.01%
z9 = -0.108 or 31.80%
z10 = 0.032 or 69.15%
To determine whether each z-score is statistically significant, we need to compare it to a predetermined level of significance, typically α = 0.05. If the probability associated with the z-score (i.e., the percent of scores below it) is less than or equal to α, we consider the score statistically significant.
Based on this criterion, the only score that is statistically significant is the IQ score of 160 (z-score = 2.29, percent of scores below = 83.68%). All other scores have a probability greater than α, and therefore are not statistically significant.
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9. A segment has endpoints at A(-4,2) and B(2,10) . The perpendicular bisector of AB passes through point M, which lies on AB Find the coordinates of 'point M.
(pls n ty)
In response to the aforementioned query, we may say that Point M's slope coordinates are therefore (39/25, 69/25).
what is slope?A line's slope determines how steep it is. The gradient is mathematically expressed as gradient overflow. By dividing the vertical change (run) between two spots by the height change (rise) between the same two locations, the slope is determined. The equation for a straight line, y = mx + b, is written as a curve form of an expression. When the slope is m, b is b, and the line's y-intercept is located (0, b). For instance, the y-intercept and slope of the equation y = 3x - 7 (0, 7). The location of the y-intercept is where the slope of the path is m, b is b, and (0, b).
A and B's respective y-coordinates are at the midpoint of the triangle AB.
[tex]((x A + x B)/2, (y A + y B)/2)[/tex]is the midpoint.
[tex]((-4 + 2)/2, (2 + 10)/2)[/tex] is the midpoint.
Midway = [tex]( -1, 6 )\\[/tex]
Slope of AB: The slope of AB is equal to the product of the y-value and the x-value, or:
slope is equal to [tex](y B-y A) / (x B-x A).\\[/tex]
slope = [tex](10 - 2) / (2 - (-4))\\[/tex]
slope = 8/6 = 4/3
[tex]y - y 1 = m * (x - x 1)\\y - 6 = (-3/4) * (x + 1)\\y - 6 = (-3/4)\\x - (3/4)\sy = (-3/4)x + (21/4)[/tex]
Point M's coordinates are:
[tex]y = (-3/4)x + (21/4)\\4x/3 + 2 = (-3/4)x + (21/4)\\16x + 24 = -9x + 63\s25x = 39\ = 39/25\\y = (-3/4)(39/25) + (21/4) = 69/25\\[/tex]
Point M's coordinates are therefore (39/25, 69/25).
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Which solid figure is made of only triangular faces?
triangular pyramid
triangular prism
cone
square pyramid
A triangular pyramid is a solid figure made of only triangular faces.
Describe Triangular Pyramid?A triangular pyramid is a type of pyramid that has a triangular base and three triangular faces that meet at a common point or apex. The triangular base is usually referred to as the base face of the pyramid, while the remaining three triangular faces are called lateral faces.
The properties of a triangular pyramid include:
It has one base face and three lateral faces.
All four faces are triangles.
It has four vertices or points.
It has six edges or line segments.
To find the volume of a triangular pyramid, the area of the base face and the height of the pyramid must be known.
Triangular pyramids can be found in many real-world applications, such as in the design of buildings and structures, in geometry and mathematics, and in the study of crystals and minerals. They are also used in computer graphics to create 3D models of objects and environments.
A triangular pyramid is a solid figure made of only triangular faces.
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Yesterday, a movie theater sold 290 bags of popcorn. A large bag of popcorn costs $4. A small bag of popcorn costs $1. In all, the movie theater made $566 from popcorn sales. Write and solve a system of equations to find how many bags of each size of popcorn were sold.
PLEASE HELP
As a result, 198 small bags and 92 big bags of popcorn were sold at the movie theatre.
what is equations ?An equation in mathematics is a claim that two statements are equivalent. It usually has two sections: a left and a right, separated by an equals sign in the middle. For instance, the statement that the expression 2x Plus 3 equals the expression 7 is represented by the equation 2x + 3 = 7. The equation can be used to determine the number of x that causes the equation to hold true when the variable x is unknown. Equations, such as linear equations, quadratic equations, trigonometric equations, and many others, can be used to explain a broad range of mathematical relationships.
given
Let x represent the quantity of big popcorn bags sold and y represent the quantity of small popcorn bags sold.
Based on the knowledge provided, we can create the following system of two equations:
x + y = 290 (the total amount of bags distributed) (the total number of bags sold)
4x + y = 566 (the entire revenue from popcorn sales) (the total revenue from popcorn sales)
We have two options for resolving the equation for x and y: substitution or removal. Here, we'll apply the replacement technique:
Y = 290 - x is the result of solving equation 1. We can enter the following formula in place of y in equation 2:
4x + (290 - x) = 566
If we simplify, we get:
3x + 290 = 566
290 from both parts are subtracted, giving us:
3x = 276
3 divided gives us:
x = 92
Thus, 92 big bags of popcorn were sold. We can change x = 92 into equation 1 to determine how many small packages were sold:
92 + y = 290
92 is subtracted from both parts to arrive at:
y = 198
Thus, 198 small packages of popcorn were sold.
As a result, 198 small bags and 92 big bags of popcorn were sold at the movie theatre.
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3. Solve this word problem:
Candice's wanted to paint the wall of her room with her favourite colour blue. Candice had
4 cans of blue paint stored in the garage. She used 2 - cans to paint her room.
3
How much blue paint did Candice have left over?
Answer:
Candice had 2 cans left over.
. Aisha went to the local gas station to get a gallon of milk. She saw that the store had quart containers of milk for $1.19 while a gallon was $4.66. Aisha bought four quarts instead of the gallon because she thought it would be cheaper for the same amount of milk. Did Aisha save money? Explain your reasoning.
Therefore , the solution of the given problem of unitary method comes out to be she actually paid more for the same quantity of milk in the end.
What does unitary method mean?Divide the measures of just this microsecond portion by two variable in order to complete the task using the unitary technique. Briefly stated, the characterised by a group and colour subgroups are both removed from the unit method expression when a wanted item is present. For example, 40 pens with a changeable price would cost Rupees ($1.01). It's possible that one country will have total influence over the approach taken to accomplish this.
Here,
4 gallons of milk make up a gallon of milk. Four pints would cost $1.19 each, or
=> $1.19 x 4 = $4.76.
Instead of purchasing a gallon of milk for $4.66,
Aisha opted to purchase four pints for $4.76.
Thus, by purchasing four pints rather than a gallon, Aisha did not save money.
She actually paid more for the same quantity of milk in the end.
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Which graph is the result of reflecting f(x) =1/4 (8)x across the y-axis and then across the x-axis?
Answer:
Answer on pic
Step-by-step explanation:
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Match the correct units for the answer of each formula.
Step-by-step explanation:
Refer to pic............
If the given sample variance is 17.56, what is the standard deviation?
According to the preceding statement, then standard deviation becomes 4.19 if the sample variance is given as 17.56.
How to interpret a standard deviation?A measurement of a data set's departure from the mean is referred to as "standard deviation" (or ""). Whereas a large variance shows that the numbers are more spread, a lower number suggests that its data are clustered around the mean. The standard deviation is a measure of how volatile your collected data is generally. It displays the standard deviation for every score with respect to the mean.
We must consider the square root of both the sample covariance matrix to determine the standard deviation.
= √17.56
≈ 4.19
Hence, their standard deviation is around 4.19
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An object is launched directly in the air at a speed of 16 feet per second from platform located 7 feet above the ground. The position of the object can be modeled using the function[tex]f(t)=-16^2+16t+7[/tex], where t is the time in seconds and f(t) is the height, in feet, of the object. What is the maximum height, in feet, that the object will reach?
Step-by-step explanation:
To find the maximum height of the object, we need to determine the vertex of the parabolic function f(t) = 16t^2 + 16t + 7.
The vertex of a parabola in the form f(t) = at^2 + bt + c is given by (-b/2a, f(-b/2a)). In this case, a = 16, b = 16, and c = 7, so the vertex is:
(-b/2a, f(-b/2a)) = (-16/(216), f(-16/(216))) = (-1/2, f(-1/2))
To find f(-1/2), we can substitute t = -1/2 into the function:
f(-1/2) = 16(-1/2)^2 + 16(-1/2) + 7 = 8 - 8 + 7 = 7
Therefore, the vertex is at (-1/2, 7). This means that the maximum height of the object is 7 feet above the ground.
Alternatively, we could also use the fact that the maximum height occurs at the vertex of the parabola, which is the point where the derivative of the function is zero. The derivative of f(t) is:
f'(t) = 32t + 16
Setting this equal to zero and solving for t, we get:
32t + 16 = 0
t = -1/2
So the maximum height occurs at t = -1/2, which corresponds to the vertex of the parabola, and the maximum height is 7 feet.
Rotation: 180° about the origin
Answer: Move it to the the left
Step-by-step explanation: 180 degrees is the left straight line
Suppose that you put 2 dimes, 2 nickels, and 1 penny into a bag. a coin will be drawn from the bag and replaced 175 times. what is a reasonable prediction for the number of times a dime will be drawn?
A reasonable prediction for the number of times a dime will be drawn is approximately 90.
What is probability?Probability is the measure of how likely it is that an event will happen. The event is expressed as a number between 0 and 1, where 0 denotes an impossibility and 1 denotes a certainty. Probability is used in many areas, such as mathematics, science, engineering, and finance. For example, in mathematics, probability is used to determine the likelihood of an event occurring or a certain outcome occurring.
When 2 dimes, 2 nickels, and 1 penny are placed into a bag, there are 5 total coins. Therefore, the probability of drawing a dime is 2/5. When a coin is drawn and replaced 175 times, the probability of drawing a dime will remain the same (2/5) and the expected value of drawing a dime is 175*2/5 = 90. Since this is a reasonable prediction, it is a valid solution.
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Patel is solving 8x2 + 16x + 3 = 0. Which steps could he use to solve the quadratic equation? Select three options. 8(x2 + 2x + 1) = –3 + 8 x = –1 Plus or minus StartRoot StartFraction 5 Over 8 EndFraction EndRoot x = –1 Plus or minus StartRoot StartFraction 4 Over 8 EndFraction EndRoot 8(x2 + 2x + 1) = 3 + 1 8(x2 + 2x) = –3
The solution of the equation is x = -0.21 and x = -1.79 and the steps used are from the quadratic formula.
What is quadratic formula?The quadratic formula in elementary algebra is a formula that gives the solution(s) to a quadratic problem. In addition to the quadratic formula, there are various methods for solving quadratic equations, including factoring (direct factoring, grouping, and the AC technique), completing the square, graphing, and others.
Given that, the equation is:
8x² + 16x + 3
The steps that could be used to solve the following equation are:
The quadratic formula is given as:
-b ± √b² - 4ac / 2a
Substitute the values:
x = -16 ± √(16)² - 4(8)(3) / 2(8)
x = -16 ± √256 - 96 / 16
x = - 16 ± 12.64 / 16
x = - 16 + 12.64/16 and x = - 16 - 12.64 / 16
x = -0.21 and x = -1.79
Hence, the solution of the equation is x = -0.21 and x = -1.79 and the steps used are from the quadratic formula.
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the box and whisker plots below show the average monthly temperature for Mexico City, Mexico, and Shanghai, china, in degrees Fahrenheit
The percentage of temperatures for Shanghai between 46ºF and 78ºF is given as follows:
50%.
What does a box-and-whisker plot shows?A box and whisker plots shows these five features from a data-set, listed as follows:
The minimum non-outlier value.The 25th percentile, which is the median of the bottom 50%.The median, which splits the entire data-set into two halfs, the bottom 50% and the upper 50%.The 75th percentile, which is the median of the upper 50%.The maximum non-outlier value.For Shanghai, the quartiles are given as follows:
Q1 = 46, Q3 = 78.
Hence the temperatures between 46 and 78ºF represent the interquartile range, containing the middle 50% of observations.
Missing InformationThe problem is given by the image presented at the end of the answer.
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first digit is greater than the second by 4 and the third digit is greater than the first by 2 .
Answer: Let's use variables to represent the three digits of the number. We can use d1 for the first digit, d2 for the second digit, and d3 for the third digit. Based on the given information, we can write the following equations:
d1 > d2 + 4 (the first digit is greater than the second by 4)
d3 > d1 + 2 (the third digit is greater than the first by 2)
We also know that the three digits combine to form a three-digit number. We can write this number as:
100d1 + 10d2 + d3
To solve for the digits, we can use the information we have to write expressions for d1, d2, and d3 in terms of a single variable, and then use that to find the digits. Let's start with the first equation:
d1 > d2 + 4
Subtracting 4 from both sides, we get:
d1 - 4 > d2
Now we can substitute this expression for d2 in the second equation:
d3 > d1 + 2
d3 > (d1 - 4) + 2
d3 > d1 - 2
So we have the following inequalities:
d1 > d2 + 4
d3 > d1 - 2
We can use these to write expressions for d1, d2, and d3 in terms of a single variable, say x:
d1 = x + 4
d2 = x
d3 = x + 2 + 4 = x + 6
Now we can substitute these expressions into the equation for the three-digit number:
100d1 + 10d2 + d3 = 100(x+4) + 10x + (x+6) = 111x + 406
So the three-digit number can be written as 111x + 406. To find the digits, we need to choose a value of x that satisfies the inequalities we derived. Let's start with the first inequality:
d1 > d2 + 4
x + 4 > x + 4
x > 0
So x must be greater than 0. Now let's check the second inequality:
d3 > d1 - 2
x + 6 > x + 2
6 > 2
This inequality is always true, so we don't need to worry about it. Therefore, any value of x greater than 0 will satisfy the given conditions. For example, if we choose x = 1, then the digits are:
d1 = 5
d2 = 1
d3 = 7
And the three-digit number is:
100d1 + 10d2 + d3 = 500 + 10 + 7 = 517
So the number is 517.
Step-by-step explanation:
ALGEBRA 1 HW!! I WILL GIVE BRAINLYEST FOR ANSWERS!!!
NO BRAINLYEST FOR RANDOM ANSWERS
The domain and the range of h(n) are the set of whole numbers
How to determine the domain and the range of h(n)Given that
h(n) is the number of houses
The possible values of n and h(n) are whole numbers
So, we have
Domain: All set of whole numbersRange: All set of whole numbersHow to determine the values of h(5) and h(11)Based on the patterns in the sequence, we have
h(n) = n
So, we have
h(5) = 5
h(11) = 11
How to determine the explicit function of h(n)In (b), we have
h(n) = n
How to determine the values of s(4) and s(7)Given that
s(n) is the number of segments
Based on the patterns in the sequence, we have
s(n) = 2n
So, we have
s(4) = 8
s(7) = 14
How to determine the growth pattern of s(n)Above, we have
s(n) = 2n
The above equation is a proportional equation
This means that
The growth pattern of s(n) is linear, with a constant rate of change
How to determine the explicit function of s(n)Above, we have
s(n) = 2n
Hence, the explicit of s(n) is s(n) = 2n
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The parts of a solid are faces, vertices and __________.
arcs
angles
edges
rays
Answer:
I'd say edges
Before a renovation, a movie theater had 127 seats. After the renovation, the theater has 188 seats. What is the approximate percentage increase of the number of seats in the theater? If necessary, round to the nearest tenth of a percent.
Answer:
48% hope this helps!
Step-by-step explanation:
188-127= 61 <--(increase)
divide increase by original( 61/127= 0.480)
Multiply by 100 to get percent (0.480x100= 48%)
The number of books borrowed from a library each week follows a normal distribution. When a sample is taken for several weeks, the mean is found to be 190
There is a 2.28% chance that more than 250 books were borrowed in a week.
Describe Probability?Probability can also be calculated using other methods, such as counting techniques and probability distributions. Probability distributions provide a way to model the behavior of random events and describe the likelihood of different outcomes occurring.
Probability has many applications in fields such as statistics, finance, engineering, and science. It is used to make predictions, analyze data, and make decisions based on uncertain information. Understanding probability is an important skill for many professions, as it allows individuals to make informed decisions and assess risk.
To solve this problem, we need to use the standard normal distribution and calculate the z-score.
First, we find the z-score:
z = (x - μ) / σ
z = (250 - 190) / 30
z = 2
We can then use a standard normal distribution table or calculator to find the probability of getting a z-score of 2 or higher.
Using a standard normal distribution table, we find that the probability of getting a z-score of 2 or higher is approximately 0.0228.
To convert this to a percentage, we multiply by 100:
0.0228 x 100 = 2.28%
Therefore, there is a 2.28% chance that more than 250 books were borrowed in a week.
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The complete question is:
The number of books borrowed from a library each week follows a normal distribution. When a sample is taken for several weeks, the mean is found to be 190 and the standard deviation is 30. There is a % chance that more than 250 books were borrowed in a week.
