To solve this problem, let's review all of the options to see which one is true.
Option A. About a fourth of the students prefer small screens.
For this option focus on the information about the students:
The total of students surveyed was 100, a fourth of 100 is :
\(\frac{100}{4}=25\)If this option were true, about 25 students would have preferred small screens. This is not true since 48 (almost half of the students) preferred small screens.
Option B. Most of the people surveyed were adults.
As we can see from the table:
The total of students surveyed was 100 and the number of adults surveyed was also 100, thus this option is not true because not most of the people surveyed were adults --> Adults and students were surveyed equally.
Option C. Most of the adults prefer a large screen size.
In this options, let's focus on the information about the adults:
82 out of 100 adults prefer a large screen size, thus it is true that most of the adults prefer a large screen size. This is the correct option.
Option D. Most of the people surveyed prefer a small screen size.
As we can see from the table:
Out of a total of 200 people surveyed, 66 prefer a small screen size and 134 prefer a large screen size
--> most of the people who prefer a large screen size rather than a small one, this option is not true.
Answer: C. Most of the adults surveyed prefer a large screen size.
three times the first number plus seven times the second number equals 95. Four times the first number minus eleven times the second number equals 25. Find the two numbers
The two numbers are 20 and 5
Explanation:let the first number = x
let the second number = y
three times the first number plus seven times the second number equals 95.
3(x) + 7 (y) = 95
3x + 7y = 95 ...(1)
four times the first number minus eleven times the second number equals 25
4(x) - 11(y) = 25
4x - 11y = 25 ...(2)
Combinig both equations:
3x + 7y = 95 ...(1)
4x - 11y = 25 ...(2)
Using elimination method:
multiply equation 1 by 4
multiply equation 2 by 3
The new equations:
12x + 28y = 380 .....(1)
12x - 33y = 75 ........(2)
subtract (2) from (1):
12x - 12x + 28y - (-33y) = 380 - 75
28y + 33y = 305
61y = 305
y = 305/61
y = 5
substitite for y in any of the equation:
Using equation (1): 12x + 28y = 380
12x + 28(5) = 380
12x + 140 = 380
12x = 380 - 140
12x = 240
divide both sides by 12:
x = 240/12
x = 20
The two numbers are 20 and 5
Determine the Period
Answer:
15
Step-by-step explanation:
To find the x-intercept of
the graph of a linear equation, can you substitute 0
for x and solve the equation? Explain.
Answer: no, you cannot because you would get an undefined line which isn't a true function. You always substitute 1 for x to get a basic function which site and teachers will want you to use unless you've been told to do difrently. :)
I hope this is what your looking for
3. What is the proper ordering
(from greatest to least) of the
following numbers?
I.58/67
II.0.58%
III.58%
IV.5.8%
O I, III, II,
O III, IV, II, I
O I, III, IV, II
O IV, I, III, II
Answer:
C) I, III, IV, II
Step-by-step explanation:
Convert each number into a decimal:
\(\textsf{I.} \quad \dfrac{58}{67}=0.86567...\)
\(\textsf{II.} \quad 0.58\%=\dfrac{0.58}{100}=0.0058\)
\(\textsf{III.} \quad 58\%=\dfrac{58}{100}=0.58\)
\(\textsf{IV.} \quad 5.8\%=\dfrac{5.8}{100}=0.058\)
Comparing the tenths of all the numbers, 8 is the biggest tenth, so 58/67 is the largest number.
The next biggest tenth is 5, so 58% is the next largest number.
The two remaining numbers have zero tenths, so compare their hundredths. 5 is the largest hundredth, so 5.8% is the next largest number. Therefore, 0.58% is the smallest number.
Therefore, the given set of numbers in order from greatest to least is:
I, III, IV, IIAnswer:
c) I, III, IV, II
Step-by-step explanation:
Values of l, ll, lll & lV respectively,
→ 58/67, 0.58%, 58%, 5.8%
→ 0.87, 0.0058, 0.58, 0.058
Arranging them in descending order,
→ 0.87 > 0.58 > 0.058 > 0.0058
→ 0.87, 0.58, 0.058, 0.0058
→ l, lll, lV, ll
Hence, the option (c) is correct.
What is the slope of the line 18x + 25y = 5?
Find the value of the expression
28.6 - 35 + 12.7 - (-5.2)=
Answer:
Step-by-step explanation:
28.6 - 35 + 12.7 - (-5.2) = ?
28.6 - 35 + 12.7 + 5.2 = 11.5
The value of the expression 28.6 - 35 + 12.7 - (-5.2) is 11.5.
To find the value of the expression, simply follow the order of operations (PEMDAS):
28.6 - 35 + 12.7 - (-5.2)
Step 1: First, deal with the parentheses:
28.6 - 35 + 12.7 + 5.2
Step 2: Then, perform addition and subtraction from left to right:
(28.6 - 35) + 12.7 + 5.2
-6.4 + 12.7 + 5.2
Step 3: Continue with the addition and subtraction:
6.3 + 5.2
Step 4: Finally, calculate the sum:
11.5
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Please help me thanks so much
Answer:
1.335
Step-by-step explanation:
The bus left the school and arrived at the museum at
9:10:40 a.m. The bus traveled for 55 minutes 10 seconds.
At what time did the bus leave the school?
Answer:
8:15:30
Step-by-step explanation:
8:15:30 a.m hope I helped ;)
2 Write 386 in expanded form
Answer:
300+ 80+6
Step-by-step explanation:
i think i not sure
FAST PLEASE 29 POINTS The diagram below is divided into equal parts. Which ratio correctly compares the number of shaded sections to the total
number of sections?
O 2
O4 to 4
O 2:1
8
4
Its only 15 points? And the answer is 1/2 because if u had the thing and there was 4 part but u eat 8 part it doesnt make sence so its 1/2
Answer:
The answer is 1/2.If u have a pizza and there were 4 parts but u eat 8 parts it has to be 1/2
Step-by-step explanation:
Graph represents the solution set y>5/-2x+2?
The graph of the linear inequality y > 5 / (-2x + 2) shows a solution of (0, 2.5)
Graph of Linear InequalityThe graph of an inequality in two variables is the set of points that represents all solutions to the inequality. A linear inequality divides the coordinate plane into two halves by a boundary line where one half represents the solutions of the inequality. The boundary line is dashed for > and < and solid for ≤ and ≥.
In the given inequality, y > 5 / (-2x + 2) can be represented on a graph using a graphing calculator.
Kindly find the attached graph below
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Factor 21x^2 - 14x - 56
Answer:
7((x-2)(3x+4))
Step-by-step explanation:
Common factor of 7 in this quadratic formula. \(7(3x^2-2x-8)\); -8 * 3x^2 = -24x^2, now find factors of this product that equal to -2x when added. The factors that fit this is -6x and 4x. So, if you make a generic rectangle you can find the product. You get 7((x-2)(3x+4))
You are certain to get a red card when selecting 27 cards from a shuffled deck. Express the indicated degree of likelihood as a probability value between 0 and 1 inclusiv
Answer:
If something is guaranteed, it has a probability of 100%, or 1.
Step-by-step explanation:
A standard deck has 52 cards. Of these, half are red cards (diamonds and hearts) and half are black cards (clovers and spades)
Half of the deck is 26 cards (52 ÷ 2 = 26), so you have 26 red and 26 black cards.
What this means in our context is, if we draw 27 cards, even if we drew all 26 black cards, we would still have 1 red card.
So the probability is 100%, or 1, of drawing a red card when we pick 27 cards from a deck, no matter how it's shuffled
The probability of getting a red card is 1.
No matter how you shuffle the cards, the no of cards will remain the same.
Therefore, it will not affect the probability.
What is probability?
Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. The analysis of events governed by probability is called statistics.
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Using partial quotients, which would be the best choice for the first number to subtract in the division problem 673 divided by 25?
Answer:
Best for choice for the first number to subtract = 500
Step-by-step explanation:
The dividend is 673 while the divisor is 25
First step is to subtract from the dividend an easy multiple like 100 times the divisor,20 times the divisor, 10 times the divisor, 5 times the divisor 2 times the divisor etc.
The best choice for the first number to subtract will be 20 times the divisor because when we multiply 20 by 25 and subtract from 673,we will get 173. And the next quotient will be 6 which is in units as the first one of 20 was in tens.
Best choice to subtract = 20 × 25 = 500
Answer: 500
Step-by-step explanation:
HELP ASAP PLEASE
Which best describes parallel lines?
Otwo lines that are always equidistant
O two lines that curve to form a circle
O two lines that intersect at multiple points
O two lines that originate from the same point
3. [-/2 Points]
Find the limit of the function (if it exists). (If an answer does not exist, enter DNE.)
4x² + 5x-6
x+2
DETAILS
20
lim
X--2
Write a simpler function that agrees with the given function at all but one point. Use a graphing utility to confirm your result.
g(x)
LARCALC12 1.3.044.
Need Help? Read It
The limit of the function as x approaches -2 is 20.To find the limit of the function (if it exists), we can substitute the given value into the function and simplify. Given function: f(x) = 4x² + 5x - 6x + 2
To find the limit as x approaches -2, we substitute -2 into the function:
f(-2) = 4(-2)² + 5(-2) - 6(-2) + 2
= 4(4) - 10 + 12 + 2
= 16 - 10 + 12 + 2
= 20
Therefore, the limit of the function as x approaches -2 is 20.
To write a simpler function that agrees with the given function at all but one point, we can use a graphing utility. By plotting the given function and observing its behavior, we can create a simpler function that matches the original function except at one point.
However, without further information about the specific behavior of the given function, it is not possible to provide a more detailed explanation or a graph of the simpler function.
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|3x + 12| = 0
What does x equal
The value of x in the absolute value equation |3x + 12| = 0 is -4
How to evaluate the equation?From the question, we have the following parameters that can be used in our computation:
|3x + 12| = 0
The above equation is an absolute value equation
So, we start by removing the absolute brackets
So, we have the following representation
3x + 12 = 0
Evaluate the like terms
This gives
3x = -12
Divide both sideso of the equation by 3
x = -4
Hence. the solution is -4
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Challenger Elementary School has 800 students. Every
Wednesday, 12% of the students stay after school for
Chess Club.
How many students attend Chess Club on Wednesdays?
Answer:
96 students attend Chess club
Step-by-step explanation:
800x.12=96
Answer:
96 students.
Step-by-step explanation:
x=800/12%
Convert the percentage to a decimal.
12%/100=0.12
Multiply the decimal by the total number.
0.12x800=96
Hope this helps :)
I have to do step by step why the answer of (5x - 1) (5x - 1) is 25x^2 - 10x + 1.
How do i do it?
(5x - 1) (5x - 1)
Ans: 25x^2 - 10x + 1
Answer:
Step-by-step explanation:
(5x - 1) (5x - 1)
= \((5x - 1)^{2}\)
Using laws of exponents,
\((a - b)^{2} = a^{2} - 2ab + b^{2}\)
here, a = 5x, b = 1
so it becomes,
\(5x^{2}\) - 2 × 5x × 1 + \(1^{2}\)
\(25x^{2}\) - 10x + 1
Hope this helps
plz mark as brainliest!!!!!!!!
1. (1.-2).(-2, 0).(-1,2). (1.3)
Function:
Domain:
Range:
What is the value of k if the equation of the line drawn below is 6x + by = k? Step by Step please
Answer:
12
Step-by-step explanation:
a general linear function can be written as
y= mx +b
where "m" is the pendient and "b" it's the point where the funcion has x=0
so u have to solve your ec. for y
\(6x + by = k\)
\(by = - 6x + k\)
\(y = - \frac{6}{b}x + \frac{k}{b} \)
if u see your graph, when x=0 the function's value is 1, so k/b= 1, then k=b
then if we know b , we know k
as I said, m is the pendient, in this case -(6/b) is the pendient
As u may know, the pendient equals tan(alpha)
in this case alpha its the angle between the positive x axis and the function (the big one), we dont have that angle in a triangle to know its tangent, but we have (180-alpha) the littleone, and its tangent is 1/2 (see your graph)
so, for redunction to the first quadrant we have that
\( \tan( \alpha ) = - \tan(180 - \alpha ) = - \frac{1}{2} \)
then,
\( - \frac{6}{b} = - \frac{1}{2} \)
b=12
k=12
The value of k if the equation of the line drawn is 6x + by = k will be 12.
What is linear function?A general linear function can be written as; y= mx +b, where "m" is the pendient and "b" it's the point where the funcion has x=0
Given that;
6x + by = k
by = k - 6x
y = k/b - 6x/b
When x=0 the function's value is 1, thus, k/b= 1, then k=b
In this case -(6/b) is the pendient
The angle between the positive x axis and the function (the big one), we dont have that angle in a triangle to know its tangent, but we have (180-alpha) the littleone, and its tangent is 1/2.
then,
-6/b = -1/2
b=12
k=12
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Here is some information about the goals scored in some hockey games. Each game has four quarters. Please give the answer asap with full explanation and working out.
Answer:
8 home games and 10 away games
Step-by-step explanation:
Total home goals
= 8+5+9+8
= 30
Number of home games
= 30/3.75
= 8
Total away game goals
= 7+8+4+5
= 24
Number of away games
= 24/2.4
= 10
Answer:
i think it is 8 home and 10 away matches
Step-by-step explanation:
The graph of f(x) = |x| is reflected across the y-axis and translated to the left 5 units. Which statement about the domain and range of each function is correct? Both the domain and range of the transformed function are the same as those of the parent function. Neither the domain nor the range of the transformed function are the same as those of the parent function. The range of the transformed function is the same as the parent function, but the domains of the functions are different. The domain of the transformed function is the same as the parent function, but the ranges of the functions are differe
Both the domain and range of the transformed function are the same as those of the parent function.
What are Range and Domain?
The collection of all potential output values that a function can generate given its domain is known as its range.
The set of all potential input values for which a function is specified is referred to as its domain.
The function that results from translating the left 5 units and reflecting the function f(x) = |x| across the y-axis is g(x) = |-x + 5|.
Since any real number's absolute value is always non-negative, the original function's domain is all real numbers, or f(x) = |x|.
A function's domain remains unaffected when it is reflected across the y-axis. Since all real numbers fall within the domain of the modified function g(x) = |-x + 5|, this is also true.
Since each real number's absolute value is always non-negative, the original function's range is also all non-negative real numbers, f(x) = |x|.
A function's sign is reversed when it is reflected across the y-axis. Since all non-negative real numbers fall within this range, the transformed function g(x) = |-x + 5| also has this range as well
So, the correct statement about the domain and range of each function is: Both the domain and range of the transformed function are the same as those of the parent function.
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i will give the best answer brainliest!!
Answer: none of them are correct
Step-by-step explanation:
BECUASE if it is then it would show it on the nuber line.
Answer:
A
Step-by-step explanation:
Add 3 to each side, there's your answer there.
salesperson earns $345 for selling $2300 in merchendice find the commison rate
Answer:
The commission rate is 15%
Step-by-step explanation:
commission = commission rate x sales
where the commission rate is expressed as a decimal.
In this case, the salesperson earned a commission of $345 for selling $2,300 in merchandise. Therefore, we have:
345 = commission rate x 2300
To solve for the commission rate, we can divide both sides by 2300:
commission rate = 345/2300
Simplifying this expression, we get:
commission rate = 0.15
So, the commission rate is 15%
Please help I am so so confused thank you all
y-(-9) = -6(x-(-4)), y = -6x-33
calculate the distance between points (1,10 and (5,15) solved
Determine the distance between two points.
\(\begin{gathered} d=\sqrt[]{(5-1)^2+(15-10)^2} \\ =\sqrt[]{16+25} \\ =\sqrt[]{41} \\ =6.403 \\ \approx6.4 \end{gathered}\)So answer is 6.4 units.
How to answer matrix question 1.
A=
5 -3
-9 0
-5 1
-7 -4
G=
-1 -9
-3 -10
8 -6
1 0
4[A] + 2[G] =
Answer:
A=4 -3 5.3748362
Step-by-step explanation:
Resuelve el siguiente ejercicios de porcentaje:
¿32 representa el 64% de qué número?
Answer:
50
Step-by-step explanation:
32/0.64 = 50
solve the system of two linear inequalities graphically.
y≤−5x−10
y>x+2
y≤−5x−10 and y>x+2 The shaded region satisfies both inequalities and represents the solution to the system of linear inequalities.
To graphically solve this system of linear inequalities, we can start by graphing each inequality on the same coordinate system:
First, let's graph the inequality y ≤ -5x - 10. We can start by graphing the line y = -5x - 10, which is the boundary line of the inequality. We can plot two points on this line, say (-2,0) and (0,-10), and draw a straight line passing through them.
Next, we need to determine which side of the line satisfies the inequality y ≤ -5x - 10. We can choose any point on one side of the line, say (0,0), and test it in the inequality. If y ≤ -5x - 10 is true for (0,0), then that side of the line satisfies the inequality. Otherwise, the other side satisfies the inequality. Testing (0,0), we have:
0 ≤ -5(0) - 10
0 ≤ -10
This is false, so the side of the line containing the origin does not satisfy the inequality. The other side of the line does.
Now, let's graph the inequality y > x + 2. We can start by graphing the line y = x + 2, which is the boundary line of the inequality. We can plot two points on this line, say (-2,0) and (0,2), and draw a straight line passing through them.
Next, we need to determine which side of the line satisfies the inequality y > x + 2. We can choose any point on one side of the line, say (0,0), and test it in the inequality. If y > x + 2 is true for (0,0), then that side of the line satisfies the inequality. Otherwise, the other side satisfies the inequality. Testing (0,0), we have:
0 > 0 + 2
This is false, so the side of the line containing the origin does not satisfy the inequality. The other side of the line does.
Now, we can shade the region that satisfies both inequalities. The shaded region is the region that is below the line y = -5x - 10 (including the line itself) and above the line y = x + 2 (excluding the line itself).
The shaded region is shown below:
Graph of y≤−5x−10 and y>x+2
The shaded region satisfies both inequalities and represents the solution to the system of linear inequalities.
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