Integers include zero, a positive natural number, and a negative integer represented by a minus sign, and the missing integers in the given situation are 5 < √48 < 7.
What are integers?Zero, a positive natural number, or a negative integer denoted by a minus sign are all examples of integers.
The inverse additives of the equivalent positive numbers are the negative numbers.
The boldface Z is a common mathematical symbol for the set of integers.
An integer, pronounced "IN-tuh-jer," is a whole number that can be positive, negative, or zero and is not a fraction.
Integer examples include -5, 1, 5, 8, 97, and 3,043. 1.43, 1 3/4, 3.14, and other numbers that are not integers are some examples.
So, we have:
__ < √48 < __
We know that:
√48 = 6.92
Then,
5 < √48 < 7
Therefore, integers include zero, a positive natural number, and a negative integer represented by a minus sign, and the missing integers in the given situation are 5 < √48 < 7.
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Complete question:
Use the integers that are closest to the number in the middle.
__ < √48 < __.
a sample of five households is selected, and the size of each household is recorded. the median size is 3 and the mode is 2. what is the mean?
The relation between mode, mean and median is:
mode=3median-2mean
Now, to find mean:
2mean=3median-mode
mean=7/2 = 3.5
Let we wish to evaluate the mean μ of a population. In real practice we would typically take just one sample. Imagine still that we take sample after sample, all of the same size n, and compute the sample mean x¯ every time.
The sample mean x is a random variable: it differs from sample to sample in a way that cannot be predicted with sureness. We will write X¯ when the sample mean is idea of as a random variable and write x for the values that it takes.
The random variable X¯ has a mean, denoted μX¯, and a standard deviation, denoted σX¯. Here is an example with such a small population and small sample size that we can indeed write down every single sample.
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Alexander was able to cover 25% of 150 km journey in the morning. What percent of journey is still left to be covered?
Answer:
the answer would be 75% of the journey
Question Down below (PLS HELP FOR 50 BRAINLIST)
Pls anyone i would appreciate it
Just select Two answers in the picture showen below
The two inequalities that represent the constraints in this situation are
r + c >= 80 and 1.45r + 0.65c <= 200
How to determine the inequalityLet r be the number of roses and c be the number of carnations Victor buys.
So, we have
Total number of flowers: r + c >= 80
Victor has $200 to spend on flowers for the school celebration.
Roses cost $1.45 each and carnations cost $0.65 each.
So, we have
Total spending: 1.45r + 0.65c <= 200
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The number line below is divided into equal parts.
Fill in the missing fractions and percentages.
Note that your fractions don't need to be in simplest form.
The remaining fractions and percentages can be represented
as
0 1/4 2/4 3/4 1
|--------------|--------------|--------------|--------------|
0% 25% 50% 75% 100%
What is a number line?Real numbers are represented by a straight line known as a number line. The distance between the dots on the line, which correlates to the magnitude of the numbers, is how the numbers are typically represented. Positive or negative numerals can be used, and they are normally marked at regular intervals.
Given that,
The number line is divided into equal parts,
The missing parts are
0 1/4 2/4 3/4 1
|--------------|--------------|--------------|--------------|
0% 25% 50% 75% 100%
This is how we can fill in the remaining fractions and percentages.
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Circumference: C = πrd or C = 2mr
Area: A= r² or A = π(r) (r)
REMEMBER: Each square box of the grid measures 1 unit (un) long and 1 unit (un) high!
What is the circumference of Circle G?
Use 3.14 for pl. Show your work here:
What is the area of Circle G? Use 3.14 for pl.
Show your work here:
Answer: 31.4
Step-by-step explanation: the circumference is 31.4 because the radius is 5, you multiply by 2 to get a diameter that is 10, then multiply that by 3.14 because in this question pi=3.14.
need the answers for all pls
From the given table it is visible that the value of s(5)=4.2
What is value function?When the variables and constants in a mathematical expression are given values, the outcome of the computation it describes is the expression's value. The amount that the function assumes for these argument values is the value of a function, given the value(s) assigned to its argument(s).
functions with return values and arguments. Functions with arguments and no return values.... This function takes arguments and returns a value.
functions with return values and no arguments.
without return values and without arguments
Function value can mean: The result of applying a function to an argument in mathematics. a closure in computer science.
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The fifth, ninth, sixteenth terms of a linear sequence (a.p.) are consecutive terms of an expodencial sequence (g.p.)
1. Find the common difference of the linear sequence in term of the first term.
2. Show that twenty-first , thirty-seventh and sixty-fifth terms of the linear sequence are consecutive terms of an exponential sequence whose common ratio is 7/4
The common difference is 7/4 and the required terms are 16a,28a,49a
What is a geometric progression?Any progression in which the ratio of adjacent terms is fixed is a Geometric Progression. The general form of representation of a geometric sequence is a, ar, ar2, ar3, ar4,...
Given here: The fifth, ninth, sixteenth terms of a linear sequence (a.p.) are consecutive terms of an expodencial sequence (g.p.)
5th term of the ap: a+4d
9th term: a+8d
16th term: a+15d
In a gp, the square of any term is equal to the product of the terms before and after it:
(a+8d)²=(a+4d).(a+15d)
[tex](a^2+16ad+64d^2)=a^2+19ad+60d^2\\4d^2-3ad=0\\d(4d-3a)=0[/tex]
(i) ANSWER: d = (3/4)a
(ii) 21st term: a+20d = a+15a = 16a
37th term: a+36d = a+27a = 28a
65th term: a+64d = a+48a = 49a
28a/16a = 7/4; 49a/28a = 7/4; this sequence is geometric with common ratio 7/4
Hence, The common difference is 7/4 and the required terms are 16a,28a,49a
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The price for gasoline is represented by the equation y = 2.72x, where y r represents the total price for x gallons of gasoline The graph goes through (5.44,2) and (8.16,3)
The graph goes through (5.44,2) and (8.16,3) is false.
What is slope intercept form of line?The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
Given that price for gasoline is represented by the equation y = 2.72x,
where y r represents the total price for x gallons of gasoline
We have to check whether the line passes through (5.44,2) and (8.16,3)
From the equation the slope is 2.72.
Now let us check whether the two points gives the same slope.
m=3-2/8.16-5.44
=1/2.72
=0.36
Hence, the graph goes through (5.44,2) and (8.16,3) is false.
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If angle b is two more than three times angle c, angle b and c are complimentary what is the measure of each angle
Step-by-step explanation:
"∠B is 2 more than 3 times the measure of ∠C" translates into B = 3C + 2....(1)
"...∠B and ∠C are complementary angles" translates to B + C = 90...............(2)
Now, all that's left to do is to solve for B and C. So, we'll take equation (1) and substitute it into equation (2) as follows:
(3C + 2) + C = 90
4C + 2 = 90
4C = 88
C = 22
Plugging C = 22 back into either equation (1) or (2) gives us
B = 90 - 22 = 68 (or B = 3(22) + 2 = 68)
Thus, ∠B = 68º; ∠C = 22º
Which line of best fit tends to underestimate the bite force and would NOT make
good predictions on the relationship of body mass and bite force of crocodiles?
Sol's Line
Taylor's Line
Patti's Line
Marrisa's Line
Taylor's Line Best Fit does not accurately anticipate the relationship between crocodile body mass and bite force and has a tendency to overestimate the bite force.
An infinite sum of terms that are expressed in terms of the function's derivatives at a single point is the Taylor series, also known as the Taylor expansion, of a function. Near this point, the function and the sum of its Taylor series are equivalent for the majority of common functions.
What is the line's Taylor form?P1(x) = (a)+ f'(x a) The function close to x = an is best approximated linearly by the tangent line. The curve and tangent line have the same first derivative, or slope, at the point where x = a. This close estimate is a Taylor polynomial of degree 1 is referred to as P1 (x).
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y=2x and -6x + 3y = 16
Answer:
0 [tex]\neq[/tex] 16
two equations have no solution and if you graphed them their lines would not intersect, they would be parallel
Step-by-step explanation:
we can substitute the value of 'y' which is '2x' into the second equation as follows:
-6x + 3(2x) = 16
-6x + 6x = 16
0 [tex]\neq[/tex] 16
therefore, these two equations have no solution and if you graphed them their lines would not intersect, they would be parallel
Please help quick help
The perimeter of the actual triangle is 74 and option D is the correct answer.
What is scale factor?The scale factor is the difference in size between the original item's scale and that of the new object, which is a representation of it (bigger or smaller).
Given that the scaled dimension of the triangular face has the following dimensions:
PQ = 12
QR = PQ(1 + 25/100) = 12(125/100) = 15
PR = 2/3 (QR) = 2/3 (15) = 10
The scaling factor is 1/2 hence the actual dimensions of the triangle would be:
Original segments (1/2) = Scaled segment
Scaled (2) = Original
Using the above we have:
PQ = (12)(2) = 24
QR = (15)(2) = 30
PR =(10) (2) = 20
The perimeter of the triangle is the sum of all it sides:
P = 24 + 30 + 20
P = 74
The perimeter of the actual triangle is 74 and option D is the correct answer.
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in town A , the population increased from 2000 to 2400 in 2 years. In town B, the population increased from 1800 to 2300 during the same time period. In which town is the percentage increase in population greater?
Answer: Town B
Step-by-step explanation:
Town A -
2400 - 2000 = 400
percentage increase = 400/2000x100
= 20 %
Town B -
2300 - 1800 = 500
percentage increase = 500/1800x100
= 27. 78 %
PLEASE HEEEEEEEEEEEEEEEEEEEEEEEEEEEELP
Find the error in the following equations:
2. 4a ^ 2 * 3a ^ 5 = (4 + 3) * a ^ (2 + 5) = 7a ^ 7
3. x ^ 6 * x * x ^ 3 = x ^ (6 + 3) = x ^ 9
4. 3 ^ 4 * 2 ^ 3 = 6 ^ (4 + 3)
The errors in the equation is shown below.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 3 = 8 is an equation.
We have,
4a² x 3[tex]a^5[/tex]
= 4 x 3 x [tex]a^{2 + 5}[/tex]
= 12 [tex]a^7[/tex]
[tex]x^6[/tex] x (x) x x³
= [tex]x^{6 + 1 + 3}[/tex]
= [tex]x^{10}[/tex]
[tex]3^4[/tex] x 2³
= 3 x 3 x 3 x 3 x 2 x 2 x 2
= 81 x 8
= 648
Thus,
The equation is solved correctly above.
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you are choosing between two health clubs. Club A offers membership for a fee of $21 plus a monthly fee of $22. Club B offers membership for a fee of $12 plus a monthly fee of $25. After how many months will the total cost of each health club be the same? What will be the total cost for each club?
After the second month, the charge will remain the same. 14 + 28 (2) = $70 would be the final price.
How to find the calculation?The first club offers a lower membership cost but a higher monthly fee in this instance, while the second club offers the polar opposite.
The computation would then be as follows to determine how long it would take for the total cost of each health club to equalize:
Example:
1 club fee equals 2 clubs fees
14+ 28x= 24+ 23x
28x-23x= 24-14
5x= 10 \sx=2
After the second month, the charge will remain the same. 14 + 28 (2) = $70 would be the final price.
The Complete Question.
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Help pls just need to simplify
How do you draw a bar model for "5y=95" "6b=12" "168/c=8" " v / 7=5"
will give full brainliest if someone shows me a demenstation pls help asap
The solution is given below.
What is Bar model?In maths a bar model is a pictorial representation of a problem or concept where bars or boxes are used to represent the known and unknown quantities. Bar models are most often used to solve number problems with the four operations – addition and subtraction, multiplication and division.
here, we have,
"5y=95"
"6b=12"
"168/c=8"
" v / 7=5"
so, the bar model ,
y = 95/5
=19
b= 12/6
= 2
c = 168/8
= 21
v = 5* 7
= 35
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Two poles, 30 feet and 50 feet tall, are 40 feet apart and perpendicular to the ground. The poles are supported by wires
attached from the top of each pole to the bottom of the other, as in the figure. A coupling is placed at C where the two
wires cross.
Answer:
You provided plenty of background information, but please provide a question to be answered.
suppose he starts with the same square of card, but changed the 4 inches to a different measurement. what is the largest volume he can make the box
The volume of the box will be 3136 cu. inches and the largest volume the box can be made of is also the same.
The amount of space occupied by a three-dimensional object as measured in cubic units.
The given square after getting folded turns into a box of 28*28*4 inches. The volume of the box can be determined by using the formula of volume of the cuboid.
Volume of the cuboid = 28*28*4
Volume of the cuboid =3136 cu. inches
The largest volume that the box can have is 3136 cu. inches as when increasing the height, the length or the width will decrease and so does the volume.
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on a railway line, peak ridership occurs between 7:00 am and 5:00 pm. the fairness of a passenger survey could be improved by over-sampling data from which group?
The fairness of a passenger survey could be improved by oversampling data from the group of passengers who travel during peak ridership hours between 7:00 am and 5:00 pm.
This will ensure that the survey adequately represents the population of interest and provides accurate results.
Oversampling is the method of selecting respondents so that some groups make up a larger share of the survey sample than they do in the population. Oversampling small groups can be difficult and costly, but it lets polls to shed light on groups that would otherwise be too small to report on.
Oversampling and undersampling are methods used in data mining and data analytics to change unequal data classes to create balanced data sets. Oversampling and undersampling are also known as resampling.
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Describe the translation thank you
The translation needed to obtain the graph of g(x) = 9^{x - 2} from the graph of f(x) = 9^x is shift 2 units right.
What is a horizontal translation?In Mathematics, a horizontal translation to the right is modeled by this mathematical expression g(x) = f(x + N) while a vertical translation to the negative y-direction (downward) is modeled by this mathematical expression g(x) = f(x) + N.
Where:
N represents an integer.g(x) and f(x) represent a function.By translating the exponential function f(x) = 9^x two (2) units to the right, we have the following:
f(x) = 9^x → g(x) = f(x - (2))
g(x) = 9^{x - 2}.
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You want the banner you are creating form one piece of cloth to be a golden rectangle. The clothe will be cut from a bolt that is 54 in wide. What are the dimensions
of the largest banner that you can make? Golden Ratio 1.618/1
54 in by
The dimensions of the largest banner are 54 inches by 87.372 inches.
What is a golden rectangle?A dividable rectangle is referred to as a "golden rectangle." into shapes that are similar to the original square and rectangle. Repeated golden rectangles form a pattern. displayed to the right. Each produced golden rectangle is duplicated and divided once more. All of the golden rectangles are like the original rectangle in shape.
Given a golden rectangle,
width of rectangle = 54 inch
let length be l,
according to the golden ratio,
l/b = 1.618/1
l = 1.618b
l = 1.618*54
l = 87.372 inches
Hence the dimensions are 54 inches by 87.372 inches.
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A drone is flying at the altitude of 16 1/4 feet above sea level a groundhog is directly below the drone at an altitude of 7 3/8 feet below sea level what is the distance between the drone and the groundhog
one is above sea level the other below sea level, so their distance is just their sum from sea level, so hmmm let's convert the mixed fractions to improper fractions and then sum them up.
[tex]\stackrel{mixed}{16\frac{1}{4}}\implies \cfrac{16\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{65}{4}} ~\hfill \stackrel{mixed}{7\frac{3}{8}} \implies \cfrac{7\cdot 8+3}{8} \implies \stackrel{improper}{\cfrac{59}{8}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{65}{4}+\cfrac{59}{8}\implies \cfrac{(2)65~~ + ~~(1)59}{\underset{\textit{using this LCD}}{8}}\implies \cfrac{130+59}{8}\implies \cfrac{189}{8}\implies 23\frac{5}{8}[/tex]
Spray drift is a constant concern for pesticide on Spray Droplet Size and Deposition t investigated the effects of herbicide formulation on spray atomization. A figure in a paper suggested the nomal distribution with mean 1050 m and standard deviation 150 μa reasonable model for droplet size for water (the "control and agricultural producers. The The paper "Effects of 2,4-D and was ) sprayed through a 760 ml/min nozzle.
(a) What is the probability that the size of a single droplet is less than 1470 μm? At least 950 μm? (Round your answers to four decimal places.)
less than 1470 μm __
at least 950 μm __
(b) What is the probability that the size of a single droplet is betweet 950 and 1470 μm? (Round your answer to four decimal places)
(c) How would you characterize the smallest 2% of all droplets? (Round your answer to two decimal places.) The smallest 2% of droplets are those smaller than ___ μm in size.
(d) If the sizes of five independently selected droplets are measured, what is the probabity that at least one exceeds 1470 μm? (Round your answer to four decimal places,) You may need to use the appropriate table in the Appendix of Tables to answer this question
(a) P(X < 1470) = 0.8849, P(X >= 950) = 0.7487, (b) the probability that the size of a single droplet is between 950 and 1470 μm is 0.6336, (c) the smallest 2% of all droplets are those smaller than 827 μm in size, and (d) the probability that at least one exceeds 1470 μm is 0.3995.
(a) To find the probability that the size of a single droplet is less than 1470 μm or at least 950 μm, we need to use the standard normal distribution table. To do this, we first need to convert the droplet size to a standard normal variable.
Let X be the droplet size. Then we have:
Z = (X - 1050)/150
The probability that the size of a single droplet is less than 1470 μm is equal to the cumulative distribution function of Z evaluated at Z = (1470 - 1050)/150 = 1.2:
P(X < 1470) = P(Z < 1.2) = 0.8849 (rounded to four decimal places)
The probability that the size of a single droplet is at least 950 μm is equal to 1 minus the cumulative distribution function of Z evaluated at Z = (950 - 1050)/150 = -0.6:
P(X >= 950) = 1 - P(Z < -0.6) = 0.7487 (rounded to four decimal places)
(b) To find the probability that the size of a single droplet is between 950 and 1470 μm, we subtract the cumulative distribution function of Z evaluated at Z = (950 - 1050)/150 = -0.6 from the cumulative distribution function of Z evaluated at Z = (1470 - 1050)/150 = 1.2:
P(950 <= X <= 1470) = P(Z <= 1.2) - P(Z <= -0.6) = 0.8849 - 0.2513 = 0.6336 (rounded to four decimal places)
(c) To find the smallest 2% of all droplets, we find the value of Z such that P(Z <= Z) = 0.02. Using the standard normal distribution table, we find that Z = -2.33. Then, we convert Z back to the original variable X:
X = Z * 150 + 1050 = -2.33 * 150 + 1050 = 827 (rounded to two decimal places)
So, the smallest 2% of all droplets are those smaller than 827 μm in size.
(d) To find the probability that at least one of five independently selected droplets exceeds 1470 μm, we use the cumulative distribution function of a binomial distribution with n = 5 and p = P(X > 1470). The cumulative distribution function of a binomial distribution with parameters n and p is given by:
1 - (1 - p)^n
Using the standard normal distribution table, we find that P(X > 1470) = 1 - P(Z < (1470 - 1050)/150) = 1 - 0.8849 = 0.1151. Then, we plug in n = 5 and p = 0.1151 into the cumulative distribution function formula:
P(at least one exceeds 1470 μm) = 1 - (1 - 0.1151)^5 = 0.3995 (rounded to four decimal places).
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If A + B + C = π, express cos (A + B) in terms of angle C.
Answer:
te te te te te te te rog vreau să mă iai la un cont decent în privat de la școală dar trebuie să se poate mai bine tu nu mi-ai spus sa te sun se va întâmpla la un cont decent și a ride la un moment de la card memorie micro
Step-by-step explanation:
trebuie sa faci așa 4629+(703)-105
Answer:
cos(A + B) = - cosC
Step-by-step explanation:
using the addition identity
cos(x ± y) = cosxcosy ∓ sinxsiny
given
A + B + C = π ( subtract C from both sides )
A+ B = π - C
then
cos(A + B)
= cos(π - C)
= cosπ cosC + sinπ sinC
= - 1 × cosC + 0 × sinC
= - cosC + 0
= - cosC
use property 8 to estimate the value of the integral ∫1147xdx.
Using property 8 and the midpoint rule, we have estimated the value of the integral ∫1147xdx to be approximately 14.
Property 8 of the definite integral states that if a < b and 0 < c < d, then:
∫baf(x)dx = ∫dcf(x)dx - ∫caf(x)dx
We can use this property to estimate the value of the integral ∫1147xdx. Let's choose c = 1 and d = 4, so that 0 < c < d and a < b. Then:
∫1147xdx = ∫447xdx - ∫11x dx
Next, we can use a numerical method, such as the midpoint rule or trapezoidal rule, to estimate the value of each of the integrals on the right side of the equation.
For example, using the midpoint rule with n = 4 subintervals for each integral:
∫447xdx ≈ (4 - 4/2) + (4 - 3/2) + (4 - 2/2) + (4 - 1/2) = 4 + 4 + 4 + 4 = 16
∫11x dx ≈ (1 - 1/2) + (1 - 2/2) = 1 + 1 = 2
So, our estimate of ∫1147xdx becomes:
∫1147xdx ≈ 16 - 2 = 14
Therefore, using property 8 and the midpoint rule, we have estimated the value of the integral ∫1147xdx to be approximately 14.
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consider a function with three variables: a, b, c. convert to sum-of-minterms form:
The sum-of-minterms form of the function f(a,b,c) = a'b + ac is (a'b + ac).
To convert a function with three variables to sum-of-minterms form, we first need to determine the truth table of the function, which lists all possible combinations of inputs and the corresponding outputs. Then, we identify the minterms (i.e., combinations of inputs that result in a 1 output) and represent each minterm as a binary number. The sum-of-minterms form of the function is then the sum of all the binary numbers representing the minterms.
For example, consider the function f(a,b,c) = a'b + ac. (The truth table for this function is attached below)
From the truth table, we can see that the minterms are (0,1,1) and (1,0,1), which can be represented as binary numbers 011 and 101, respectively. The sum-of-minterms form of the function is then:
f(a,b,c) = 011 + 101 = (a'b + ac)
So, the sum-of-minterms form of the function f(a,b,c) = a'b + ac is (a'b + ac).
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5. Rachel used 5 ½ cups of sugar to make cherry cobbler. If each cobbler uses 1/3 cup of sugar, how many cobblers can she make?
Answer: 1 1/6
Step-by-step explanation:
Gabriella measured a line to be 11.1 inches long. If the actual length of the line is 11.6 inches, then what was the percent error of the measurement, to the nearest tenth of a percent
Answer:
10%
Step-by-step explanation:
11.6/11.1 = 0,1045045
researchers are studying two populations of wild horses living in the western regions of a country. in a random sample of 32 horses taken from the first population, the mean age of the sample was 21 years. in a random sample of 41 horses from the second population, the mean age of the sample was 19 years. is the sampling distribution of the difference in sample mean ages approximately normal?
Yes, the sampling distribution of the difference in sample mean ages is approximately normal.
This is because the Central Limit Theorem states that the sampling distribution of the mean of any sample of size n will be approximately normal, provided that the samples are drawn from a population with a finite variance. Furthermore, the sample sizes in this case (32 and 41) are both greater than 30, which is the minimum sample size needed for the CLT to be valid.
The Central Limit Theorem is a fundamental theorem of statistics that states that the sampling distribution of the means of any sample of size n drawn from a population with a finite variance will be approximately normal, regardless of the shape of the population’s probability distribution.
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