Answer:
The two numbers we are looking for are a rational number and an irrational number.
Step-by-step explanation:
To find the two numbers that, when multiplied by the square root of 360, give a rational number, we can consider the prime factorization of 360. 360 can be written as 2^3 * 3^2 * 5, so the square root of 360 is equal to √(2^3 * 3^2 * 5) = 2√(3 * 5) = 2√15.
Now, suppose we want to find a rational number that is equal to x * √15. We can rewrite this expression as x * √(3 * 5) = x * √3 * √5. For this expression to be rational, both x and √3 must be rational or both must be irrational.
If x is rational, then the expression x * √3 * √5 is rational. Therefore, one of the two numbers we are looking for is x, which is a rational number.
If x is irrational, then the expression x * √3 * √5 is irrational. Therefore, the other number we are looking for is √3, which is an irrational number.
Therefore, the two numbers we are looking for are a rational number and an irrational number.
Write the equation in slope-intercept form of the line that passes through (6, -11) and is parrallel to the graph
On solving the provided question we can say that the equation of the line will be y+11 = 0.
How do you define a slope?The slope of a line is how steeply it slopes from left to right. The slope of a line is determined by dividing its rise (vertical change) by its slope, which is its horizontal change. Regardless of whatever two locations on the line you pick, the slope of the line is always constant (it never changes).
How do you find slope?To find the coordinates of two points on the line, choose two. Find the difference between these two locations' y-coordinates (gradients). Find the difference between these two places' x coordinates (runs). Divide the change in the y coordinate by the difference in the x coordinate (slope/history or slope).
Here,
slope, m= 0 as these are parallel line.
so the equation of the line will be
y-y1 = m(x-x1)
y+11 = 0
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A school has a pep band, a sports band, a marching
band, and a concert band. In each band, there are
2 trombones for every 5 trumpets. Complete the table
for the bands.
5 Trumpets
10 Trumpets
8 Trombones
6 Trombones for 15 Trumpets
Find the time difference between 2:25am and 6:10am.
Answer:
3 hours and 45 minutes
Step-by-step explanation:
ggggggggggggg
! a school has 25 classrooms and an office. an inercom system connects the classrooms to each other and to the office. what is the total number of classroom to classroom and classroom to office connections?
what i need is an explanation
Answer:
650 connections
Step-by-step explanation:
Each classroom has 25 connections including the office, therefore 26classrooms(including the office) are connected to 25 places: 26*25=650 connections
Which is an example of a defined term A. Point B. Line C. Ray D. Plane
Answer: c:ray
Step-by-step explanation:
A ray is like a line, but the line takes off in one direction to infinity while the other side is like a line segment. The end of the line is called the endpoint. That's why it is a defined term.
PLEASE HELP THIS IS WORTH 12 points and you will be marked as brainliest !!!!!!!!! REALLY URGENT !!!!!
------------------
Figure JKLM below is dilated with a scale factor of 1/4 . Match the appropriate coordinates for J' K' L' M' (after dilation) .
Basically what is :
(4,8) x 1/4 = ?
(4,-8) x 1/4 =?
(-8,0) x 1/4 = ?
(8,0) x 1/4 =?
Step-by-step explanation:
so, for (4, 8) × 1/4, what is 4×1/4 ? and what is 8×1/4 ?
(1, 2)
similar for (4, -8) it is (1, -2).
similar for (-8, 0) it is (-2, 0).
similar for (8, 0) it is (2, 0).
that's it. that's really all there is to it. you multiply all the coordinates by the scale factor.
Write a compound inequality to represent all of the numbers between 4 and 6. UPLOAD All real number that are between.docx X WRITER All real number that are between 4 and 6. Form of compound inequality the statement represents: Suppose x is real number from statement is the greater than 4 and 6. x>-4 and x<6. The compound inequality written as 4-5} {xIx<5)? the empty set the numbers between -5 and 5 all numbers except -5 and 5 all real numbers
The compound inequality is -4 < X < 6.
Let X represents the numbers between 4 and 6
X is between 4 and 6. This means that 4 and 6 are not included in the series of numbers. Thus, they are the boundaries of the series of numbers.
The number between 4 and 6 is 5.
To find the compound inequality, we look at the series of numbers. Here, we notice that the number 5 is greater than 4 (the number is greater than 4 because it lies on the right-hand side of 4 on the number line) and the number 5 is smaller than 6 (the number is smaller than 6 because it lies on the left-hand side of 6 on the number line).
Thus, the compound inequality is -4 < X < 6.
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Someone please answer this question it is in the picture I will give you brainliest and your getting 50 points no fraud answers.
Answer: a=9 b=11
Step-by-step explanation:
This is a parallelogram; we know by the definition of the shape that the opposites sides are congruent.
That means a, the opposite of the 9, is 9.
That means b, the opposite of the 11, is 11.
I need to simplify the exponent for my math test asap.
Select all ratios equivalent to 1:2.
Answer:
1/2 & 0.5
Step-by-step explanation:
A shop sells fruit and vegetables
Gaya buys 1 orange and 1 cauliflower
she pays £1.25
Esteban buys 3 oranges and 1 cauliflower
He pays 1.95
Work out the price of one orange in pounds (£)
Answer:
[tex]\boxed{0.49}[/tex]
Step-by-step explanation:
To find the price of one orange, we need to determine how much Gaya and Esteban paid for their oranges in total and then divide that amount by the number of oranges they bought.Gaya paid £1.25 for 1 orange and 1 cauliflower, so she paid £1.25 for her orange.Esteban paid £1.95 for 3 oranges and 1 cauliflower, so he paid £1.95 - £1.25 = £0.70 for his 3 oranges.In total, Gaya and Esteban paid £1.25 + £0.70 = £1.95 for 4 oranges.So, the price of one orange is £1.95 / 4 = £<<1.95/4=0.49>>0.49. Answer: \boxed{0.49}.
Think About the Process Karen purchased a DVD player on sale. The orginal selling price was $179.30. The sale price was $154. 15. What is the first step in finding the percent markdown? Find the percent mandowen.
The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Required percentage value = a
total value = b
Percentage = a/b x 100
The percent markdown is 14%.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
Example:
50% = 50/100 = 1/2
25% = 25/100 = 1/4
20% = 20/100 = 1/5
10% = 10/100 = 1/10
We have,
Original price = $179.30
The selling price = $154.15
The percent markdown.
= (179.30 - 154.15) / 179.30 x 100
= 25.15 / 179.30 x 100
= 14%
Thus,
The percent markdown is 14%.
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Pls help me limited time i’ll give brainliest
Answer:
2.4 would be the answer i took this before
Step-by-step explanation:
2/6 - Write an equation to represent the word phrase: Twice the sum of a number and 11 is 34 Use the variable h to represent the unknown amount. Equation: Show your steps below as to how you solved the equation.
The equation of the word phrase is 2(h + 11) = 34
How to determine the equation of the phraseFrom the question, we have the following parameters that can be used in our computation:
Twice the sum of a number and 11 is 34
Represent the variable with h
So, we have the following representation
Twice the sum of h and 11 is 34
Express the sum
This gives
Twice h + 11 is 34
Next, we have
2(h + 11) is 34
Express as equation
2(h + 11) = 34
Hence, the equation is 2(h + 11) = 34
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peterson's solution is a valid solution to the critical section problem on modern multi-core systems. true false
Therefore, Peterson's solution is not a valid solution to the critical section problem on modern multi-core system so it is false.
What is multi core system?A multicore processors is an electronic component that has two or more processor cores attached for higher performance and lower power consumption. These processors also enable more efficient execution of numerous activities, such as with parallelization and multithreading.
Here,
It is because of the following disadvantages:
Although Peterson's technique is effective for two processes, it is the best plan for the important part in user mode.
Additionally, this solution involves busy waiting, wasting CPU time. So that “SPIN LOCK” problem can emerge. And any busy waiting solution may encounter this issue.
Therefore, Peterson's solution is not a valid solution to the critical section problem on modern multi-core system so it is false.
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8.4 Area Between Two Curves Homework Name Date Period Problems 1 - 12, Sketch the region bounded by the graphs of the equations and find its area. 1. y = x2: y = 4x 2. y = x + 1: y = 5 3. x=y2; x - y = 2 4. ya = 4+x: y2 + x = 2
the area between first two curves is 10.67-unit, 2nd two curves is 8-unit, 3rd two curves is 7.5 unit, and the last two curves is
How can we calculate the area between two curves?area bounded by two curves means the curves have intersected each other and we can determine the point of intersection of them. In the next we apply the integration with limit formula for the equation of curves in where the point of intersection acts as the upper and lower limit.
Does the area always positive?while determining area we get either negative value or positive value depending on the position of curve in the xy coordinate but in real life the value of area is written as a positive number.
1. the curve y=x² and y=4x
let the two curves intersects each other so x²- 4x= 0
x=0, 4
for this value of x, we determine the values of y
y= 0, 16
now we determine the area between two curves by using the formula, ∫x²dx-∫4xdx
∫₀⁴(x²-4x) dx
[1/3×x³-³4/2×x²]₀⁴
area = -10.67
2. the curves y=x+1 and y=5 is intersected as we need to calculate the area bounded by them, 5=x+1 and x=4
for x=4, we get y= 5
now the area will be ∫₀⁴(x+1-5)dx
[1/2x²- 4x] ⁴
area= -8 unit
3. in case of 3rd two curves, x=y² and x-y=2
y²-y=2, hence y= -1, 2
the x values are x= 1, 4
the area bunded by them is ∫₋²₁{y²-(y-2)}dy
[1/3y³-1/2y²+2y]₋²₁
area =7.5 unit
4. from the last two curves y=4+x, y²= 2-x
hence, the area calculated are 10.67-unit, 8 unit and 7.5 unit respectively.
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Match each pair of points to the slope of the line that joins them.
Pair of Points
a. (9, 10) and (7.2)
b. (-8, -11) and (-1,-5)
c. (5, -6) and (2, 3)
d. (6, 3) and (5, -1)
e. (4,7) and (6,2)
4
-3
Slope
52 67
The slope of each pair point is listed below:
Case A: m = - 4
Case B: m = 6 / 7
Case C: m = - 3
Case D: m = 4
Case E: m = - 5 / 2
How to determine the slope of a secant line
In this problem we find five cases of two points that are part of a line, whose slope (m) can be calculated by means of secant line formula:
m = (y₂ - y₁) / (x₂ - x₁)
Where:
x₁, y₁ - Coordinates of the initial point.x₂, y₂ - Coordinates of the final point.Now we determine the slope for each case:
Case A:
m = (10 - 2) / (7 - 9)
m = 8 / (- 2)
m = - 4
Case B:
m = [- 5 - (- 11)] / [- 1 - (- 8)]
m = 6 / 7
Case C:
m = [3 - (- 6)] / (2 - 5)
m = 9 / (- 3)
m = - 3
Case D:
m = (- 1 - 3) / (5 - 6)
m = - 4 / (- 1)
m = 4
Case E:
m = (2 - 7) / (6 - 4)
m = - 5 / 2
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a grocery store has an average sales of $8000 per day. the store introduced several advertising campaigns in order to increase sales. to determine whether or not the advertising campaigns have been effective in increasing sales, a sample of 100 days of sales was selected. it was found that the average was $8200 per day. from past information, it is known that the standard deviation of the population is $1500. the value of the test statistic is\
The value of test statistics as calculated from the given data is 0.092.
p = 1 - P(Z < Z')
Z' = (8200-8000)/ (1500/√100)
Z'= 1.3
p = 1 - P(Z < Z')
= 1 - P(Z < 1.3)
= 1 - 0.908
= 0.092
The Z-score, also known as the standard score, indicates how far a data point deviates from the mean. It represents the number of standard deviations an element has from the mean. As a result, the Z-Score is expressed in terms of standard deviation from the mean.
A z score is a statistical measurement that indicates how far a raw score deviates from the mean of a distribution. A z score is used in a z test to test hypotheses. It is also used in prediction intervals to calculate the likelihood of a random variable falling between two values.
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Kaya can ride her bike 3mi/h faster than Josh can ride his bike. If Kaya and Josh ride their bikes at the same time, Kaya will travel 60 miles and Josh will travel 12 miles less. How fast can Josh and Kaya ride their bikes?
On solving the given question, by the equation, A riding 48 mi at 8 mph takes 6 hours, which indeed is 3 hours longer .A riding 48 mi at 8 mph takes 6 hours, which indeed is 3 hours longer.
What is equation?An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used. In the equation 3x + 5 = 14, for instance, the two expressions 3x + 5 and 14 are separated by the symbol "equal."
J can ride his bike 8 mph faster than A can ride. It takes A 3 hours longer than J to ride 48 miles. How fast can J ride?
Let r = rate that J rides, in miles per hour.
Then rate that A rides is (r – 8).
distance = rate * time
time = distance/rate
Time taken by J to ride 48 miles = 48/r.
Time taken by A to ride 48 miles = 48/(r – 8).
But A's time is 3 hours more than J's time.
48/(r – 8) = 3 + 48/r
Solve that for r.
48/(r – 8) = 3r/r + 48/r
48/(r – 8) = (3r + 48)/r
Multiply both sides by (r – 8)r.
[tex]48(r) = (3r + 48)(r - 8)\\ 48r = 3r2 -24r + 48r -384\\ 0 = 3r2 - 24r -384\\ 0 = r2 -8r - 128\\ 0 = (r -16)(r + 8)[/tex]
So r = 16 mph or r = –8 mph.
J riding 48 mi at 16 mph takes 3 hours.
A riding 48 mi at 8 mph takes 6 hours, which indeed is 3 hours longer.
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Calculate the volume of the figure. Use 3.14 for π
for the 2015 general social survey, a comparison of females and males on the number of hours a day that the subject watched tv gave the following results.
According to the test 0 is not plausible value for the difference between the population means.
What is population mean?
There are various mean types in mathematics, particularly in statistics. Each mean serves to summarize a specific set of data, frequently to help determine the overall significance of a specific data set.
We have
n1 = 504, x f = 3.13
n2 = 400, x m = 2.87
(a) Hypothesis: H0: μf = μm V/s H1: μf ≠ μm
Yes, because according to the test 0 is not plausible value for the difference between the population means.
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Complete question:
Complete question is attached below.
Solve pls brainliest
Answer:
3. 44 root= between 6 and 7 (more on the 7 side)
(Use Excel) The See Me marketing agency wants to determine if time of day for a television advertisement influences website searches for a product. They have extracted the number of website searches occurring during a one-hour period after an advertisement was aired for a random sample of 30 day and 30 evening advertisements. A portion of the data is shown in the accompanying table. Use Table 2. ay Searches Evening Searches 96670 118379 97855 111005 96368 100482 98465 122160 98550 117158 101623 101556 95753 98875 104384 102036 99475 110932 103780 101963 97608 123513 99859 102195 101764 111388 97287 116287 98066 119660 95390 112553 96125 98245 96767 98062 99494 101657 102498 106451 99260 104247 102020 105507 102468 118339 96543 109847 102491 123996 96557 122545 102627 113248 95048 104941 96969 111829 95103 114721 Click here for the Excel Data File
a) The mean number of website searches differs between the day and evening advertisements based on this hypothesis:
[tex]H_{0} :[/tex] μ[tex]_{x}[/tex]-μ[tex]_{y}[/tex] = 0
[tex]H_{a} :[/tex] μ[tex]_{x}[/tex]-μ[tex]_{y}[/tex] ≠ 0
The null hypothesis in the question states that the mean number of website searches does not differ between the day and evening advertisements and the alternative hypothesis states that the mean number of website searches differs between the day and evening advertisements. It can be written as:
[tex]H_{0} :[/tex] μ[tex]_{x}[/tex]-μ[tex]_{y}[/tex] = 0
[tex]H_{a} :[/tex] μ[tex]_{x}[/tex]-μ[tex]_{y}[/tex] ≠ 0
b-1) From the below excel output screenshot the t-test statistical value is I -0.3476.
b-2) From the below excel output the critical t value comes as 2.0017. So, the rejection region includes all the values greater than 2.0017 and less than -2.0017.
c) The calculated t-statistic value is not falling in the rejection region. So we do not reject the null hypothesis.
Do not reject [tex]H_{0}[/tex]. At the 5% significance level, we conclude the mean number of website searches not differ between the day and evening advertisements.
(The below excel screenshot shows the customized formula and the output which is required to find the values required to test the hypothesis.)
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You would like to know how effective a diet program is at helping people lose weight. 18 over-weight people are randomly selected to participate in the program. They are weighed before and after the program and the results are listed below. Do these results give evidence that the diet program is effective at the 1% significance level? Participant 1 2 4 5 6 Before 185 220 190 158 227 211 After 175 215 195 155 230 207 Participant | 7 ー 19 | 10 |11 | 12 | Before 260 156 201 300 180 270 Afer 258 159 201 290 172 272 Participant 13 14 15 16 17 18 Before 293 183 |205 151 291 166 After 290 185 200 146 287 166
The claim that a drug is effective at 1% is not sufficiently supported by the available data.
Participant 1 2 3 4 5 6
Before 185 220 190 158 227 211
After 175 215 195 155 230 207
Difference = Before - After = 10 5 -5 3 -3 4
Participant 7 8 9 10 11 12
Before 260 156 201 300 180 270
After 258 159 201 290 172 272
Difference = Before - After = 2 -3 0 10 8 -2
Participant 13 14 15 16 17 18
Before 293 183 205 151 291 166
After 290 185 200 146 287 166
Difference = Before - After = -7 -2 5 5 4 0
Hypothesis :
H0 : μd = 0
H0 : μd ≠ 0
10+5-5+3-3+4+2-3+10+8-2+3-2+5+5+4+0 = 44
The mean of d, [tex]d`[/tex] = Σd / n = 44 / 18 = 2.44
The standard deviation, S.d = 4.45 (using calculator)
The test statistic, T : [tex]d`[/tex] / (S.d/√n)
T = 2.44 / (4.45/√18)
T = 2.44 / 1.0488750
T = 2.326
Degree of freedom, df = n - 1 ; 18 - 1 = 17
P value = 0.0326
α = 0.01
Since P value < α ; we fail to reject H0
So the claim that a drug is effective at 1% is not sufficiently supported by the available data.
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Given that ABCD is a rhombus, what is the value of x?
A. 29
B. 13
C. 51.5
D. 34
E. 45
F. Cannot be determined
Given that ABCD is a rhombus, the value of x is 29. Option A
Describe the rhombus.A rhombus is a parallelogram having four equal sides and, occasionally, one without any right angles.
A rhombus's diagonals are perpendicular to each other.
How to find the value of xsum the equation to 180
x + 3x -26 + 90 = 180
4x = 180 - 90 + 26
4x = 116
We have to divide through the equation by 4 in order to get the value of x
4x / 4 = 116 / 4
x = 29
Hence the value of x in the given rhombus is 29
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Answer:29 is the answer
Step-by-step explanation:
explain how you determined which distribution to use. the t-distribution will be used because the samples are independent and the population standard deviation is not known. the standard normal distribution will be used because the samples are independent and the population standard deviation is known
You must use the t-distribution table when working problems when the population standard deviation (σ) is not known and the sample size is small (n<30). General Correct Rule: If σ is not known, then using t-distribution is correct. If σ is known, then using the normal distribution is correct.
What is t-distribution and normal distribution ?Normal distribution, also known as the Gaussian distribution, is a probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.
In graphical form, the normal distribution appears as a "bell curve".
The normal distribution is the proper term for a probability bell curve.
In a normal distribution the mean is zero and the standard deviation is1. It has zero skew and a kurtosis of 3.
Normal distributions are symmetrical, but not all symmetrical distributions are normal.
The t-distribution describes the standardized distances of sample means to the population mean when the population standard deviation is not known, and the observations come from a normally distributed population.
Therefore,
You must use the t-distribution table when working problems when the population standard deviation (σ) is not known and the sample size is small (n<30). General Correct Rule: If σ is not known, then using t-distribution is correct. If σ is known, then using the normal distribution is correct.
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1
Harlan is a real estate agent whose total annual earnings are
the sum of his annual salary and the commission shown. Last
year, Harlan sold 10 homes that totaled $2,500,000 in sales.
How much commission did Harlan earn?
A. The amount of Harlan's sales for the year is $
Harlan will receive
commission amount.
B. Calculate Harlan's commission.
2,500,000 %
Harlan earned a commission of $
C. How do you know your answer is reasonable?
% of his sales as his
Answer:
commission. This is a common industry practice, and it is reasonable to assume that Harlan earned this percentage from his sales.
Step-by-step explanation:
on a dating site, users can select 5 out of 24 adjectives to describe themselves. a match is declared between two users if they match on at least 4 adjectives. if alice and bob randomly pick adjectives, what is the probability that they form a match
The probability that Alice and Bob form a match is [tex]^{24} C_{5}[/tex] * (([tex]^{24} C_{4}[/tex])*20*19) / [tex]^{24} C_{5}[/tex] * [tex]^{24} C_{5}[/tex].
To answer the question, we use the probability by its complement.
What is Complement of An Event?The complement of an event is the subset of outcomes in the sample space that are not in the event. A complement is itself an event.
In this case, probability space is ([tex]^{24} C_{5}[/tex])^2 where there is match for 4 or 5.
For number of ways for 5 adjectives match is ([tex]^{24} C_{5}[/tex]).
For number of ways for 4 adjectives match is ([tex]^{24} C_{4}[/tex])*20*19.
We first choose 4 adjectives which are match and then there are 20*19 ways for both of them to choose an adjective each from remaining 20 adjectives.
Then, the desired probability is:
[tex]^{24} C_{5}[/tex] * (([tex]^{24} C_{4}[/tex])*20*19) / [tex]^{24} C_{5}[/tex] * [tex]^{24} C_{5}[/tex]
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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 Make a list of all the patterns you notice in the number arrangement above. If we were to continue this number arrangement, what would be the middle number on the 50th row? What about the nth row?
Answer:
chronological
or +1 each number up
Step-by-step explanation:
The middle number on the 50th row is 891.5.
The nth row is 18n - 17.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18
19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36
We see that there are 18 numbers in each row.
The numbers are consecutive natural numbers.
Now,
We can see that,
The first number of each row is 1.
The first number of the second row is 19.
The first number of the third row is 37.
The first number in each row can form a series.
1, 19, 37,....
This series is an arithmetic sequence.
First term = 1
Common difference = 18
The nth term is a + (n - 1)d.
50th term.
= 1 + (50 - 1)18
= 1 + 49 x 18
= 1 + 882
= 883
This means,
The 50th row will have the following series.
883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900.
The middle number is the midpoint of 891 and 892.
= 891.5
The nth row.
= 1 + (n - 1)18
= 1 + 18n - 18
= 18n - 17
Thus,
The middle number on the 50th row is 891.5.
The nth row is 18n - 17.
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please help , will give brainlest
Answer:
20o
Step-by-step explanation:
Angle sum property of triangle states that the sum of interior angles of a triangle is 180o.
so 25 + 135 + ? = 180
? = 180 - 25 - 135
? = 20
