Perceived lack of anonymity is the source of bias that is most relevant to the given situation.
The data collected in the study, which is Mood on a Happy/OK/Sad scale, is qualitative or categorical data.
This describes an observational study.
What is Statistics?
Statistics is a field of study that deals with the collection, analysis, interpretation, presentation, and organization of data. It involves the use of mathematical and statistical methods to extract meaningful insights from data and to draw conclusions or make decisions based on the findings.
When individuals are asked to provide feedback on a court-appointed defense attorney while their case is still being argued in court, they may feel that their responses are not anonymous and that the attorney or the court may retaliate against them if they provide negative feedback. This can lead to a perceived lack of anonymity, which can influence their responses and bias the feedback they provide. They may feel pressured to provide positive feedback or may choose not to provide any feedback at all, leading to nonresponse bias or missing data.Therefore, the perceived lack of anonymity can introduce bias into the feedback collected in this situation.Qualitative data is data that represents characteristics or qualities, rather than quantities or numbers. In this case, the mood of the respondents is being measured using categories or labels, such as Happy, OK, or Sad. This type of data cannot be easily measured or expressed in numerical terms, and therefore is considered qualitative.On the other hand, quantitative data is data that can be measured and expressed in numerical terms. This type of data is usually represented by numbers and can be analyzed using statistical methods to draw meaningful conclusions. Examples of quantitative data include age, weight, temperature, and number of hours worked.In an observational study, the researcher observes and records data on the subjects without intervening or manipulating any variables. In this case, the researcher is simply tallying the gender of children born in January, which does not involve any intervention or manipulation of variables.On the other hand, in an experiment, the researcher manipulates one or more variables to observe the effect on the outcome variable. The researcher randomly assigns participants to different groups or conditions and controls one or more variables to determine cause-and-effect relationships.Since the gender of children born in January is being observed and recorded without any intervention or manipulation of variables, it is an observational study.Learn more about Statistics click here:
https://brainly.com/question/29093686
#SPJ1
John Napier developed logarithms and Henry Briggs helped him to improve on the concept.
True
False
The given statement is True.
What is developing logarithms?
The emergence of logarithms was predicted by comparing arithmetic and geometric series.
True. John Napier is credited with developing logarithms and Henry Briggs is known for working with Napier to advance the concept and promote its use.
Together, they created the logarithmic tables that became a powerful tool in mathematics and science.
Therefore, The given statement is True.
To know more about developing logarithms visit,
https://brainly.com/question/30287524
#SPJ1
It is first down in a football game. Your team has the ball at your 25-yard marker, and the play is a successful run for 6 yards. A number line from ten to forty with labels at ten, twenty, thirty, and forty. Between each pair of labeled points are four tick marks. Where does the ball end up? Where is the ball relative to where it started? Use the number line to find the answer.
Answer: ddddddddddddddddddddddddddddddddddddddddddddddbddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddd
Step-by-step explanation:
I WILL GIVE BRAINLY
The linear function f(x) = 0.5x + 80 represents the average test score in your math class, where x is the number of the test taken. The linear function g(x) represents the average test score in your science class, where x is the number of the test taken.
x g(x)
1 81
2 83
3 85
Part A: Determine the test average for your math class after completing test 2. (2 points)
Part B: Determine the test average for your science class after completing test 2. (2 points)
Part C: Which class had a higher average after completing test 4? Show work to support your answer. (6 points)
Answer:Part A: To determine the average test score in your math class after completing test 2, substitute 2 for x in the linear function f(x) = 0.5x + 80.
f(2) = 0.5 * 2 + 80 = 81
So, the average test score in your math class after completing test 2 is 81.
Part B: To determine the test average for your science class after completing test 2, we can use the table of values for g(x) given in the problem. When x = 2, g(2) = 83. So, the average test score in your science class after completing test 2 is 83.
Part C: To determine which class had a higher average after completing test 4, we need to calculate the average test scores for both classes after test 4.
For the math class, we can use the linear function f(x) = 0.5x + 80 to find the average test score.
f(4) = 0.5 * 4 + 80 = 82
For the science class, we can use the table of values for g(x) given in the problem. When x = 4, g(4) = 85.
So, the average test score in your science class after test 4 is higher, 85 compared to 82 in your math class.
Step-by-step explanation:
A large tank hold 1. 9 time 10 to the 7th power gallons of oil. How much oil can be stored in 9 tanks. Scientific notation
A large tank hold 1. 9 time 10 to the 7th power gallons of oil. The amount of oil that can be stored in 9 tanks is 1.71 x 10^8 gallons in scientific notation.
To find the amount of oil that can be stored in 9 tanks that each hold 1.9 x 10^7 gallons of oil, we can use the following steps:
Write down the number of gallons that one tank can hold: 1.9 x 10^7 gallons. Multiply this value by the number of tanks: 1.9 x 10^7 gallons/tank x 9 tanks.
To multiply the two numbers, we can simply multiply the coefficients (1.9 and 9) and add the exponents (7 in this case): (1.9 x 9) x 10^(7+0) gallons.
Simplifying the coefficient gives us 17.1, so the amount of oil that can be stored in 9 tanks is 17.1 x 10^7 gallons.
Finally, we can express this result in scientific notation by writing it as 1.71 x 10^8 gallons, since 17.1 is equivalent to 1.71 x 10.
Therefore, the amount of oil that can be stored in 9 tanks is 1.71 x 10^8 gallons in scientific notation.
To learn more about capacity click on,
https://brainly.com/question/15808316
#SPJ4
<
Lesson 6-2
Question 7 of 15
Question 7
>
A is the incenter of A POR. Find m.ARU.
Need help with this question?
(3x + 2)°
20
(4x-9)º
40 R
Sav
The value off ARU based on the information will be 35°.
How to calculate the valueWe know, the incenter of a triangle is the point of intersection of all the three interior angle bisectors of the triangle.
A)By property, AR is angle bisector of angle KRU.
Therefore m(<ARU) = m(<ARK) = 40°
m<ARU= 40°
B) The angle bisectors in a triangle are always concurrent and the point of intersection is known as the incenter of the triangle.
AU = AT = 20
Therefore,
AU = 20
C) AP is angle bisector of <QPR,
By definition of angle bisector
m<QPA = m<APR
3x+2 = 4x-9
4x-3x = 9+2
x =11
m<QPA = 3(11) +2 = 35°
Learn more about triangles on:
https://brainly.com/question/17335144
#SPJ1
what's the rate of change of -7≤x≤-2
Answer:
4
Step-by-step explanation:
Rate of change forumla
[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]
We have our X points, -7 and -2. Now to find the Y value at those places.
For -7, Y is 5
For -2, Y is 25
Now we plug this into the equation
[tex] = \frac{25 - 5}{ - 2 - ( - 7)} = \frac{20}{5} = 4[/tex]
Find the indicated side of the
triangle.
b
30°
12
a = -
Answer:
Find the indicated side of the
triangle.
b
30°
12
a = -
Step-by-step explanation:
In August, 18% of the middle school students voted in a school election. The number of students who voted was 213. How many students are in the middle school?
If 18% of middle school student voted in a school election and number of students who voted is 213 , then the total students in the middle school is approximately 1184 students .
Let "x" be = total number of middle school students.
We know that 18 percent of the students voted = 0.18x, and is equal to 213 ;
that means , ⇒ 0.18x = 213 ;
Now we need to solve for x,
We divide both sides by 0.18 ;
⇒ x = 213/0.18 ;
Simplifying, we get:
⇒ x = 1183.33
Since the number of students cannot be in decimal ,
So , the actual number of students must be greater than or equal to 1183.33.
Therefore, the middle school has approximately 1184 students.
Learn more about Percent here
https://brainly.com/question/28670903
#SPJ4
new flowers are being planted in a circular flwoer bed with a 14-foot diameter. if each flower requires 2 square feet of space, about how many flowers can be planted? (1 point) 308 flowers, 154 flowers, 77 flowers, 66 flowers
A total of 77 new flowers can be planted on the flower bed.
New flowers has to be planted in a circular flower bed that has a diameter of 14 ft.
Each one of the flower requires to square feet of the space.
The radius of the flower bed will be 7 feet.
The area of the flower bed can be calculated by using the formula,
A = πr²
Where r is the radius.
Put in the value of radius to find the area of the flower bed,
A = 3.14 x 7 x 7
A = 153.86 ft²
Now, let us say that N number of floors can be planted,
So,
N)(2) = 153.82
N = 76.93
So we can say that about 77 flowers can be planted on the flower bed.
To know more about Area of circle, visit,
https://brainly.com/question/14068861
#SPJ4
Find the value of x.
X=
The measure of x is 14, by using the definition of secants.
What are secants?A straight line that intersects a circle in two points is called a secant line. A chord is the line segment that joins two distinct points of the circle. A chord is in a unique secant line and every secant line defines a unique chord. In geometry, a secant is a line that cuts any curve in at least two different points.
Given that, two secants are intersecting inside the circle making two arcs measuring 55° and 75° and an angle measuring 3x+23
We know that,
If two secants intersect inside a circle, then the measure of the angle formed is equal to half the sum of the measures of the intercepted arcs.
Therefore,
3x+23 = 1/2[55° + 75°]
3x+23 = 1/2 × 130
3x+23 = 65
3x = 42
x = 14
Hence, the measure of x is 14, by using the definition of secants.
Learn more about secants, click;
https://brainly.com/question/23026602
#SPJ1
PLS HELP I HAVE TO SUBMIT IN LESS THAN AN HOUR
A medical equipment industry manufactures X-ray machines. The unit cost C (the cost in dollars to make each X-ray machine) depends on the number of
machines made. If x machines are made, then the unit cost is given by the function C(x)=0.9x²-180x+20,985. How many machines must be made to
minimize the unit cost?
Do not round your answer.
At 100 machines the unit cost will be minimum and the minimum cost is 11985.
Finding the maximum and minimum on parabolas:The lowest point on the graph, that is referred to as the minimum, or min, is the vertex of a parabola. The highest point on the graph, that referred to as the maximum, or max, is the vertex of a parabola.
The formula for the minimum value is given by -b/2a
Here we have
The medical equipment industry manufactures X-ray machines. If x machines are made, the unit cost is given by the function
C(x) = 0.9x²-180x+20,985.
Compare given C(x) with the standard equation ax² + bx + c
=> a = 0.9, b = -180 and c = 20,985
We can find the x - coordinate where the minimum value occurs using the formula -b/2a
The x-coordinate where the minimum value occurs = - (- 180)/2(0.9)
= (180)/1.8 = 100
Hence at x = 100, the unit cost will be minimum
The unit cost can be calculated as follows
C(100) = 0.9(100)²-180(100)+20,985
= 0.9(10000) -18000 + 20,985
= 9000 - 18000 + 20985
= 11985
Therefore,
At 100 machines the unit cost will be minimum and the minimum cost is 11985.
Learn more about Parabolas at
https://brainly.com/question/12690231
#SPJ1
Is y=5 and x=-1 parallel
Answer:
y=5 and x=-1 are parallel
Step-by-step explanation:
Let's do a quick review on some things:
Parallel lines are the lines that never intersect and perpendicular lines are the lines that intersect at 90°.
Lines with the same slope are parallel and if the slope of one line is the negative reciprocal of the second line, then they are perpendicular.
So, this answers to your question that it's parallel!
Hopefully this helps :)
Which number sentence is not true? 0<100, 0=0, -100<0, -100>0
which of the following results in smaller sampling variation of , the ols estimator for the slope coefficient in the sample regression model? group of answer choices smaller sample size (smaller ) smaller error variance (smaller ) smaller variation in in the sample (smaller )
Smaller sample size results in smaller sampling variation of the OLS estimator for the slope coefficient in the sample regression model due to the fact that it reduces the amount of variability in the data. Smaller error variance also reduces sampling variation as it reduces the amount of overall variation in the data.
The sampling variation of the OLS estimator for the slope coefficient in the sample regression model is affected by a variety of factors. A smaller sample size will result in smaller sampling variation because it reduces the amount of variability in the data. This is due to the fact that a smaller sample size will contain less variation in the independent variable, and therefore the estimated slope coefficient will have less variation. Additionally, a smaller error variance will also reduce the sampling variation as it reduces the amount of overall variation in the data. Finally, smaller variation in the independent variable in the sample will also lead to smaller sampling variation of the OLS estimator. This is because the slope coefficient is estimated by minimizing the sum of squared residuals, which is a function of the variation in the independent variable. Thus, if the variation in the independent variable is reduced, the slope coefficient will have less variation. In conclusion, all three factors can lead to reduction in the sampling variation of the OLS estimator for the slope coefficient in the sample regression model.
Learn more about sample size here
https://brainly.com/question/25894237
#SPJ4
If , which equation describes the graphed function? A. y = f(-x) − 3 B. y = -f(x) + 3 C. y = -f(x) – 3 D. y = f(-x) + 3
The equation that describes the graphed function is -
g(x) = - f(x) - 3.
What is root function?A root function in mathematics is given as -
y = [tex]$\sqrt[n]{x}[/tex]
We can further write the function as -
y = [tex]$x^{\frac{1}{n} }[/tex]
Given is the graph of the function as shown in the image attached.
We can write the function f(x) as -
f(x) = √x
Inverting the f(x) across the {x} axis, we can write -
- f(x) = - √x
After downward translation, we can write g(x) as -
g(x) = - f(x) - 3
Therefore, the equation that describes the graphed function is -
g(x) = - f(x) - 3.
To solve more questions on graph translation, visit the link below
https://brainly.com/question/8840054
#SPJ9
what is the sum of the first fifteen terms of the sequence $2, 8, 14, \dots$, in which each term is six more than the preceding term?
The sum of the first fifteen terms of the given sequence is 220.
The given sequence can be expressed as: [tex]$2, 8, 14, \dots$[/tex], in which each term is six more than the preceding term. This is an arithmetic sequence, where the common difference between terms is 6. The formula to calculate the sum of the first n terms of an arithmetic sequence is given by [tex]$S_n = \frac{n}{2}(a_1 + a_n)$[/tex], where [tex]$a_1$[/tex] is the first term and [tex]$a_n$[/tex] is the nth term.
In the given sequence, the first term [tex]$a_1$[/tex] is 2 and the 15th term [tex]$a_n$[/tex] is 42. So, plugging these values to the formula gives us, [tex]$S_{15} = \frac{15}{2}(2+42) = \frac{15\times 44}{2} = 220$[/tex].
Therefore, the sum of the first fifteen terms of the given sequence is 220.
Learn more about sequence here:
https://brainly.com/question/30262438
#SPJ4
how many ounces of a 30% alcohol solution must be added to a 70% alcohol solution to make 50 ounces of a 40% alcohol solution?
To make 50 ounces of a 40 percentage alcohol solution, eight ounces of the 30% solution must be mixed with the 70% solution.
1. Round the two solutions' initial concentrations to the nearest tenth (30% alcohol = 0.3; 70% alcohol = 0.7).
2. Determine the combined solution's overall alcohol content
(30% + 70%): 0.3 + 0.7 = 1.
3. Multiply 50 ounces by 0.4 to get the total amount of alcohol required for a 40% solution:
50 x 0.4 = 20 ounces.
4. Determine how much 30% solution is required to reach the desired concentration. 1 divided by 20 equals 20 ounces.
5. Subtract the quantity of the existing 70% solution:
(50 ounces x 0.7)/20 ounces = 8 ounces.
6. The outcome is that 8 ounces of the 30% solution are required to create 50 ounces of the 40% solution.
The original concentrations of the two solutions must first be converted to decimals (30% alcohol = 0.3; 70% alcohol = 0.7) in order to determine how much of a 30% alcohol solution has to be added to a 70% alcohol solution to create 50 ounces of a 40% alcohol solution. The two decimals can then be added to determine the total amount of alcohol present in the combined solution: 0.3 + 0.7 = 1. In order to determine the entire amount of alcohol required for a 40% solution, multiply 50 ounces by 0.4, which results in 20 ounces. The amount of the 30% solution required to reach the specified concentration can be estimated by dividing 20 ounces by 1, which is 20 ounces. Then, 20 ounces must be divided by the amount of the 70% solution that is already present to get 8 ounces. As a result, 8 ounces of the 30% solution are required to create 50 ounces of the 40% solution.
Learn more about percentage here
https://brainly.com/question/16797504
#SPJ4
Question 3 Complete the following word problems by showing all your calculations: 3.1) Thato bought a bicycle for R 8 000 on a loan at Cycle lab. If the interest rate was 14% per annum for 3 years. a) What is the interest he will pay? b) What is the final amount he will pay for the bicycle? 3.2) The florist bought 200 roses for R900. If she sells the roses in a bouquet of five for R 35. a) What was the cost price per rose? b) What is the selling price per rose? c) What is the profit that she will make per rose? 3.3) The shopkeeper buys oranges and apples at a ratio of 4:3. How many apples will he buy, if he buys 96 oranges? (3) 3.4) Mr Dingaan started practicing the 1st of January to run a marathon of 140 km on the 1st of June. He practices every day for 3 hours and runs at a speed of 35km/hour. a) What is the distance that he runs in one day? b) What is the total distance he runs during the time that he practices, from January to June?
1a. The interest that Thato will pay equals to R3,840.
1b. The final amount he will pay for the bicycle will be R 11 840.
1a What is the interest he will pay?a) To calculate the interest that Thato will pay, you can use the following formula:
Interest = Principal * Rate * Time
Interest = R 8,000 * 0.14 * 3
Interest = R3 840
1b What is the final amount he will pay for the bicycle?Final amount = Principal + Interest
Final amount = R 8,000 + R 3,840
Final amount = R 11,840
2a What was the cost price per rose?Cost price per rose = Total cost of roses / Number of roses
Cost price per rose = R 900 / 200
Cost price per rose = R 4.50
2b. What is the selling price per rose?Selling price per rose = Price of bouquet of 5 roses / Number of roses in the bouquet
Selling price per rose = R 35 / 5
Selling price per rose = R 7.00
2c. What is the profit that she will make per rose?Profit per rose = Selling price per rose - Cost price per rose
Profit per rose = R 7.00 - R 4.50
Profit per rose = R 2.50
Read more about Interest
brainly.com/question/25793394
#SPJ1
In ΔLMN, m = 450 inches, � m∠M=74° and � m∠N=41°. Find the length of l, to the nearest 10th of an inch
In the triangle LMN the length of the side l as per given measures of side and angles is equal to 42.4 inches ( nearest tenth )
In triangle LMN,
Let us consider side length opposite to ∠L, ∠M, and ∠N be l , m , and n respectively.
Measure of side m = 450 inches
Measure of ∠M = 74°
Measure of ∠N = 41°
Sum of all the angles in a triangle is equal to 180°
m ∠M + m ∠N + m ∠L = 180°
⇒ 74° + 41° + m ∠L = 180°
⇒ m ∠L = 180° - 115°
⇒ m ∠L = 65°
Using sine law of triangle we have,
sin L / l = sin M / m = sin N / n
⇒sin L / l = sin M / m
Substitute the value we get,
⇒ sin 65° / l = sin 74° / 450
⇒ l = sin 65° × ( 450 / sin 74°)
⇒ l = 0.9063 × ( 450 / 0.9613 )
⇒ l = 42.43 inches
⇒ l = 42.4 inches ( nearest tenth )
Therefore, the measure of the side length l in a triangle LMN is equal to 42.4 inches ( nearest tenth ).
The above question is incomplete, the complete question is:
In ΔLMN, m = 450 inches, m ∠M=74° and m ∠N=41°. Find the length of l, to the nearest 10th of an inch.
Learn more about length here
brainly.com/question/30100801
#SPJ4
Answer: 424.3
Step-by-step explanation: n ΔLMN, m = 450 inches, m∠M=74° and
m∠N=41°. Find the length of l, to the nearest 10th of an inch.
A.A.S.→Law of Sines
Plug in. Opposite sides go together. 450 sin, 65 sin 74 ≈ 424.2742 ≈ 424.3
l=
sin74
450sin65
≈424.2742≈424.3
Use the following expression to answer the following questions.
I
t+0.24t
The decimal in the expression represents what value as a percent? (No % sign.)
Is the expression representing an increase or a decrease? Percent Increa: V
Create the simplified version of the expression.
The percentage increase is given by the equation A = t + 0.24t = 1.24t
What is Percentage?A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %
The difference between an exact value and an approximation to it is the approximation error in a data value. Either an absolute error or a relative error might be used to describe this error.
Percentage change is the difference between the measured value and the true value , as a percentage of the true value
Percentage change =( (| Measured Value - True Value |) / True Value ) x 100
Given data ,
Let the percentage increase be represented as A
Now , the equation will be
The initial quantity be represented as t
Now , the increased quantity be represented as p = 24 %
So , the increased quantity = 24 % x initial quantity
Substituting the values in the equation , we get
The increased quantity = ( 24/100)t
The increased quantity = 0.24t
So , the final quantity = initial quantity + increased quantity
On simplifying the equation , we get
The final quantity = t + 0.24t
The final quantity = 1.24t
Hence , the equation is A = 1.24t
To learn more about percentage click :
https://brainly.com/question/12861068
#SPJ1
a wireless garage door opener has a code determined by the up or down setting of 16 switches. how many outcomes are in the sample space of possible codes?
The number of possible outcomes in the sample space of a wireless garage door opener with 16 switches can be determined using the concept of combination is 1.
Combination is a mathematical concept that refers to the number of ways that a set of objects can be selected from a larger set without regard to their order.
To determine the number of possible outcomes in the sample space, we can use the concept of combination. In this case, the objects are the 16 switches, and the larger set is the set of all possible settings for these switches (up or down).
To calculate the number of possible combinations, we can use the formula for combination, which is:
ⁿCₓ = n! / (x! * (n - x)!)
where n is the total number of objects (16 switches), and x is the number of objects selected (in this case, also 16 switches). The exclamation mark (!) represents the factorial function, which is the product of all positive integers up to and including the given integer.
Using this formula, we can calculate the number of possible combinations as follows:
=> 16! / (16! x (16 - 16)!)
=> 16! / (16! x 0!)
=> 1
Therefore, the sample space of possible codes for a wireless garage door opener with 16 switches is 1.
To know more about combination here.
https://brainly.com/question/28998705
#SPJ4
please help me with this
Answer: 1 [tex]\frac{4}{5}[/tex]
Step-by-step explanation:
Make it a mixed number then simplify if you can. I hope this helps.
Cassandra is knitting a scarf. She increases the length of
the scarf by 25 centimeters each hour she knits. After 3
hours, the scarf is 125 centimeters long.
The initial length of the scarf is 50 centimeters.
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.
We can use the given information to find the rate at which Cassandra is knitting the scarf and the initial length of the scarf.
Let L be the initial length of the scarf in centimeters, and let r be the rate at which Cassandra is knitting the scarf in centimeters per hour. Then, we have:
L + 25h = length of scarf after h hours
Substituting h = 3 and the length of the scarf after 3 hours = 125, we get:
L + 25(3) = 125
L + 75 = 125
L = 50
Therefore, the initial length of the scarf is 50 centimeters.
To learn more on slope intercept form click:
https://brainly.com/question/9682526
#SPJ9
Cassandra is knitting a scarf. She increases the length of
the scarf by 25 centimeters each hour she knits. After 3
hours, the scarf is 125 centimeters long what is initial length of scarf.
1/2of 2/3 =1/2 of _ Third(s)= _third(s)
Answer: 1/2of 2/3 = 1/2 of 2 Third(s)= 1 third
Rewrite x(t)=(1.45)^t/2 in the form y=a(1+r)^t or y=a(1-r)^t to determine whether it represents exponential growth or exponential decay. Round a and r to the nearest hundredth if necessary.
The given function represents exponential growth, the value of a is 1 and the value of r is 0.45.
What is the exponential growth?The quantity increases slowly after which the rate of change and the rate of growth increases over a period of time rapidly. This increase in growth is calculated by using the exponential growth formula.
The exponential growth formula is [tex]Amount = Initial value(1+\frac{r}{100} )^{\frac{t}{n}}[/tex].
The given exponential function is [tex]x(t)=(1.45)^{\frac{t}{2} }[/tex].
Now, [tex]x(t)=(1+0.45)^{\frac{t}{2} }[/tex]
Compare, [tex]x(t)=(1+0.45)^{\frac{t}{2} }[/tex] with [tex]y=a(1+r)^t[/tex], we get
a=1 and r=0.45
Therefore, the value of a is 1 and the value of r is 0.45.
Learn more about the exponential growth and decay here:
https://brainly.com/question/13674608.
#SPJ9
help me with the question, please
have a good day
Answer:
3 liters
Step-by-step explanation:
If he took the 2 fullest containers, he took the two dots that are at 4 1/2, which is also 4.5
Now since there are two, we multiply by 2.
4.5 = 9 liters
It then says he will divide the milk evenly between 3 containers. So now we divide.
9/3 = 3
please help with 4(i)-4(iii). with steps please
1) Given that the perimeter of the rectangle is at least 40 cm, the inequality and show that it reduces to x ≥ 3 2/3 is: 12x - 4 >= 40
2) The smallest possible value of x is 4
3) The area of the rectangle is 57 cm²
What is the rationale for the above response?(i) The perimeter of a rectangle is given by the formula P = 2(l + b), where l is the length and b is the breadth. Substituting the given values, we get:
P = 2(4x + 3 + 2x - 5) cm
P = 2(6x - 2) cm
P = 12x - 4 cm
We are given that the perimeter is at least 40 cm, so we can write the inequality:
12x - 4 ≥ 40
Simplifying this inequality, we get:
12x ≥ 44
Dividing both sides by 12, we get:
x ≥ 11/3
x ≥ 3 2/3
So the inequality reduces to x ≥ 3 2/3
II) Note that if x is a perfect square, the smallest possible value of x is 4, because 4 is the smallest perfect square.
III) Substituting x = 4 in the length and breadth of the rectangle, we get:
Length = 4x + 3 = 19 cm
Breadth = 2x - 5 = 3 cm
Therefore, the area of the rectangle is:
Area = Length x Breadth = 19 cm x 3 cm = 57 cm²
Thus, it is correct to state that the area of the rectangle is 57cm².
Learn more about Perimeters:
https://brainly.com/question/6465134
#SPJ1
Group 4: A drive in movie charges $15 per car, plus $2 per person as an
admission fee. The total charged for a car with x people is m(x) = 2x + 15.
How will the graph of this function change if the per car charge is changed
to $20 per car?
O
The line will shift vertically down by $5.
O The line will shift vertically up by $5.
O The line will shift horizontally left by $5.
O The line will shift horizontally right by $5.
Answer:
The graph of the function will shift vertically up by $5.
Step-by-step explanation:
The original function is m(x) = 2x + 15, where x is the number of people in the car. If the per car charge is changed to $20 per car, the new function becomes m(x) = 2x + 20, because the charge per car has increased by $5.
This means that the y-intercept of the new function is 20 instead of 15, which represents the minimum cost for a car, regardless of the number of people inside. So the graph of the new function will be shifted vertically up by $5 from the graph of the original function.
Aɳʂɯҽɾҽԃ Ⴆყ ɠσԃKEY ꦿ
HELP ASAPPP PLEASEEEEEEEEE
Answer:
Two geometric objects are perpendicular if they intersect at a right angle.
Step-by-step explanation:
How you know:
The condition of perpendicularity may be represented graphically using the perpendicular symbol, ⟂.
- If Andrea does 5 more hours of community service, she will have at least the 12
hours of service required by her school. This can be represented by the
inequality below, where x stands for the number of hours of community service
that Andrea has already done.
1+52 12
Which number line BEST represents all values of x that satisfy this inequality?
Answer:
The first/top option
Step-by-step explanation:
First, we can find the inequality that the line is representing. X is the number of hours she has already done, and she has five hours more to do to fulfill the 12 or more hours of required service. The inequality would be x+5≥12.
The minimum that X has to be is 7 because any value lower than 7 would make the inequality false[ ex. 6 + 5 ≠ 12 ]. The arrow would be pointing to the right, because 7 is the minimum value, not the max, so any value higher than 7 would still make the inequality true. Lastly, the circle would be filled, because 7 is included in the set of values that make the inequality true[ 7 + 5 = 12 ].
So, the answer would be the first option.
