Answer: The mode of the data in the line plot is the data with the highest number of marks
The mode of the data is 8
How to determine the mode?
From the line plot, we have the following frequency table:
Number Frequency
5 2 marks6 4 marks.
7 3 marks
8 6 marks
9 2 marks
10 4 marks
11 2 marks
The number with the highest mark is 9
Hence, the mode of the data is 8
Step-by-step explanation:
I need help! Find the measure of all sides. Round to the nearest tenth.
Answer:
BA=15
CA=15/2=7.5
[tex] cb \:= \frac{15 \sqrt{3}} {2} = 13[/tex]
x² + y² = 34
=
y = x+2
Show your working.
Answer:
[tex]\left \{ {{y=5} \atop {x=3}} \right.[/tex] or [tex]\left \{ {{y=-3} \atop {x=-5}} \right.[/tex]
Step-by-step explanation:
Answer:
(- 5, - 3 ) , (3, 5 )
Step-by-step explanation:
x² + y² = 34 → (1)
y = x + 2 → (2)
substitute y = x + 2 into (1)
x² + (x + 2)² = 34
x² + x² + 4x + 4 = 34
2x² + 4x + 4 = 34 ( subtract 34 from both sides )
2x² + 4x - 30 = 0 ( divide through by 2 )
x² + 2x - 15 = 0 ← in standard form
(x + 5)(x - 3) = 0 ← in factored form
equate each factor to zero and solve for x
x + 5 = 0 ⇒ x = - 5
x - 3 = 0 ⇒ x = 3
substitute these values into (2) for corresponding values of y
x = - 5 : y = - 5 + 2 = - 3 ⇒ (- 5, - 3 )
x = 3 : y = 3 + 2 = 5 ⇒ (3, 5 )
Which of the following shows the interval of the domain where
the function f(x)=x2 - 2x+5 is decreasing?
The domain of the function where the function is decreasing is (-∞, 1). Then the correct option is D.
What are domain and range?The domain means all the possible values of the x and the range means all the possible values of the y.
The function is given below.
f(x) = x² - 2x + 5
The equation can be written as
f(x) = x² - 2x + 1 + 4
f(x) = (x - 1)² + 4
Then the domain of the function where the function is decreasing will be (-∞, 1).
Then the correct option is D.
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The equation of this line is
y = 2x + 3. which of the
following shows a way that
we could change the
equation to make the line
flatter?
Answer:
y= x + 3
Step-by-step explanation:
I have the same question and that was the correct answer
y= x+ 3 is flatter.
What is equation?Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the expression written on the left side with the expression written on the right side. In every equation in math, we have, L.H.S = R.H.S (left hand side = right hand side). Equations can be solved to find the value of an unknown variable representing an unknown quantity. If there is no 'equal to' symbol in the statement, it means it is not an equation.
As, the slope of y = x + 3 is 1.
So, the gradient is 1.
So, y = 2x + 3 is flatter
The slope of 2x-1 is 2
and, the slope of y= -4x+3 is -4
and the gradient is -4.
So, y= -4x +3 is steeper.
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use your formula to convert 20 minutes to seconds please help me
Step-by-step explanation:
Converting 20 minutes into second....
20 × 1 minute
20 × 60 seconds
1200 seconds...
A student graphs the functions f(x) = | x+3 | and g(x) = x2-2x+3 on the coordinate plane shown.
Which are the solutions of f(x) =g(x)?
A. -3 and 1
B. -1 and 1
C. 0 and 3
D. 3 and 6
The solutions are the intersection point of both graphs
The left side graph is y=|x+3|The right side top graph is x²-2x+3(Parabola)So there mUST be two solutions
The intersections are
(0,3)(3,6)The x values are solution
They are 0,3Option C
Answer:
C. 0 and 3
Step-by-step explanation:
The solutions of f(x) = g(x) are the values of the x-coordinates of the points where the two graphed functions intersect.
From inspection of the graph, the points of intersection are:
(0, 3)(3, 6)Therefore, the solutions are 0 and 3 (since they are the x-values).
Proof
[tex]\implies f(x) = g(x)[/tex]
[tex]\implies |x + 3| = x^2-2x+3[/tex]
We only need to take the positive form of |x+3| since we can see from the graph that g(x) intersects f(x) when |x+3| is positive:
[tex]\implies x + 3 = x^2-2x+3[/tex]
[tex]\implies x^2-3x=0[/tex]
[tex]\implies x(x-3)=0[/tex]
[tex]\implies x=0, 3[/tex]
Thus confirming that the solutions are when x = 0 and 3
Use synthetic substitution to evaluate f(z) = 8z³ - 5z² +9z+9 when z = 5.
A function assigns the values. The value of f(z)=8z³-5z² +9z+9 will be 929.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
The value of f(z)=8z³-5z² +9z+9, when the value of z is 5 will be,
f(z)=8z³-5z² +9z+9
f(5)=8(5)³-5(5)² +9(5)+9
f(5)= (8×125) - (5×25) + (9×5) + 9
f(5) = 1,000 - 125 + 45 + 9
f(5) = 929
Hence, the value of f(z)=8z³-5z² +9z+9 will be 929.
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In a class of 23,there are 13 girls and 10 pupils who play chess .The number of girls play chess is 4.Find how many boys do not play chess. Topic :word problems involving set.Note:solve it by formula method and not venn diagram.Ur work should be shown clearly.30 points. A need it hurry
Answer: 4
Step-by-step explanation:
If there are 13 girls in a class of 23, we can assume there are 10 boys. If 4 girls play chess and there are 10 pupils who play chess, we can guess that the remaining 6 are boys. If there are 10 boys, and 6 of them play chess, there are 4 who do not.
a student was asked to multiply a number by 3/2. instead he divided the number by 3/2 and obtained a number smaller by 2/3, the number is:
Answer:
[tex]\boxed{\bf \sf number : \ \frac{4}{5} }[/tex]
Explanation:
Let the number be n
According to students Condition:
[tex]\rightarrow \sf \dfrac{3}{2} \ x \ n \quad = \quad \dfrac{3n}{2}[/tex]
What He actually Did:
[tex]\rightarrow \sf n \div \dfrac{3}{2} \quad = \quad n \ x \ \dfrac{2}{3} \quad = \quad \dfrac{2n}{3}[/tex]
He got a smaller number by 2/3, so:
[tex]\rightarrow \sf \dfrac{3n}{2} - \dfrac{2n}{3} = \dfrac{2}{3}[/tex]
make the denominator's same
[tex]\rightarrow \sf \dfrac{3(3n)}{6} - \dfrac{2(2n)}{6} = \dfrac{2}{3}[/tex]
multiply the integers
[tex]\rightarrow \sf \dfrac{9n}{6} - \dfrac{4n}{6} = \dfrac{2}{3}[/tex]
Join the fractions
[tex]\rightarrow \sf \dfrac{9n-4n}{6} = \dfrac{2}{3}[/tex]
Subtract integers
[tex]\rightarrow \sf \dfrac{5n}{6} = \dfrac{2}{3}[/tex]
Cross multiply
[tex]\rightarrow \sf n = \dfrac{6 \ * \ 2}{5 \ * \ 3} \quad = \quad \dfrac{4}{5}[/tex]
Lets see
the number be x
The expression is
3x/2-2x/3=2/39x-4x)6=2/35x)6=2/315x=12x=12/15=4/5can you help with this please
Answer:
x = 81
Steps:
It says that y ~ √x
We have points (9, 18) as a guide.
We can write y = f(x) = a√x +b
Use points (9, 18) as a guide
18 = a√9 +b
18 = 3a + b
One solution might be a = 6, which means f(x) = 6√x
Thus when y = 54,
54 = 6√x
9 = √x
81 = x
Please Help!! DUE SOON!! I'LL MARk BRAInLiEAST!! HIGH POintS!!
Answer:
Step-by-step explanation:
Type the correct answer in each box. use numerals instead of words. a manufacturer tests a certain number of the headsets that are produced each day. if 280 units of that model are tested, and the manufacturer finds 273 headsets without any defects, what is the chance of finding a defective headset? round your answer to the nearest tenth. there is a % chance of finding a defective headset.
The chance of finding a defective headset is 2.5%
How to determine the probability?The given parameters are:
Total = 280
No defects = 273
The number of defective headsets is:
Defective = 280 - 273
Evaluate
Defective = 7
The probability that a defective headset is selected is:
P(Defective) = 7/280
Express as percentage
P(Defective) = 2.5%
Hence, the chance of finding a defective headset is 2.5%
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Convert the angle to radians. leave as a multiple of pi.
324 degrees
a.
startfraction 8 pi over 5 endfraction
c.
startfraction 18 pi over 5 endfraction
b.
startfraction 9 pi over 5 endfraction
d.
startfraction 9 pi over 10 endfraction
Skylar buys a one-gallon bottle of juice for $15.36. what is the unit rate of the cost of the juice per fluid ounce?
what is the cost of juice in dollars per fluid ounce?
Answer:
0.12
Step-by-step explanation:
there are 128 fluid ounces in 1 gallon
15.36 / 128 = 0.12
A student studies the effect of sunlight on the growth of a tree sapling. At the beginning of the student’s study, the tree sapling is
48
inches tall. The student finds that the tree sapling grows an average of
3
inches per month.
Which expression represents the height of the tree sapling after
x
months?
pls hurry, i need help asap
Reason:
The tree is already 48 inches tall. We add on 3x to represent the idea the tree is growing 3 inches per month. Therefore, the total height is 48+3x or 3x+48 inches.
Let's say x = 5 months have elapsed as an example.
The tree would have grown 3*x = 3*5 = 15 inches to get 48+15 = 63 inches tall. In other words, y = 3x+48 will have y = 63 when x = 5.
a bracelet that costs 200 last year costs 158 this year. what is the percent of decrease
In a school, 40% of the students have brown eyes. Find the experimental probability that in a group of 4 students, at least one of them has brown eyes. The problem has been simulated by generating random numbers. The digits 0-9 were used. Let numbers "0", "1", "2", and "3" represent the 40% of students with brown eyes. A sample of 20 random numbers is shown. 7918 7910 2546 1390 6075 1230 2386 0793 7359 3048 2816 6147 5978 5621 9732 9436 5971 3806 6173 1430 Experimental Probability = [?]%
Answer:
41.25%
Step-by-step explanation:
Of the 80 digits generated, 33 of them are 0,1,2, or 3.
(Yup, I counted them)
So, 33/80 = 0.4125 = 41.25%
Answer:
95%
Step-by-step explanation:
Step 1: Find samples with 0, 1, 2 or 3.
Example: count 7918 it has a one
Example two: count 2546 it has a two
Step 2: Once all the samples with 0, 1, 2 or 3 are counted put it into a fraction.
Example: For this particular question there were 19/20 samples with numbers 0, 1, 2 or 3.
Step 3: Change the fraction into a percentage after that you will have your final answer.
What is the total area of the following composite figure?
136.26 m 2
122.13 m 2
117.42 m 2
62.13 m 2
Step-by-step explanation:
there is a rectangle and an octagon within
area of rectangle = 8*9 = 72
there are 4 right angled triangles
area of one such triangle = .5 × 9 = 4.5
total area of triangles = 18
area of octagon = 72-18 = 54 m^2
ANSWER FAST GET 100 POINTS AND BRAINLIEST
The graph below shows Kate's distance from her home (y), in miles, after a certain amount of time (x), in minutes:
Graph titled Kates Distance Vs Time shows 0 to 10 on x and y axes at increments of 1.The label on x axis is time in minutes and that on y axis is Distance from Home in miles. Lines are joined at the ordered pairs 0, 0 and 1, 0.5 and 1.5, 1 and 2, 2 and 3, 3 and 4, 4 and 5, 5 and 6, 6 and 7, 6 and 8, 6.
Four students described Kate's motion, as shown in the table below:
Student Description
Mary She drives at a variable speed for 2 minutes, then drives at a constant speed for 6 minutes, and finally stops at the parking area for the next 8 minutes.
Lucy She drives at a variable speed for 2 minutes, then drives at a constant speed for 6 minutes, and finally stops at the parking area for the next 2 minutes.
Tim She drives at a variable speed for 2 minutes, then drives at a constant speed for 4 minutes, and finally stops at the parking area for the next 2 minutes.
Pamela She drives at a variable speed for 2 minutes, then drives at a constant speed for 4 minutes, and finally stops at the parking area for the next 8 minutes.
Which student most accurately described Kate's motion?
Mary
Lucy
Tim
Pamela
The student with the most accurate description of the graph that represents Kate's movement is Tim
The student with the accurate descriptionFrom the graph that represents Kate's distance per minute, we have the following highlights:
Kate drives at an irregular speed for 2 minutesThen she drives at a regular speed for 4 minutesThen she stopped moving for the next 2 minutesThe student's description that matches the above highlights is Tim
Hence, the student with the most accurate description is Tim
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Based on the scenario above, the student that most accurately described Kate's motion is Tim.
What is Motion?Motion is defined in physics, as the way that an object alters its position over time.
Note that in the scenario above, Tim said that Kate drives at a variable speed for 2 minutes, then drives at a constant speed for 4 minutes, and finally stops at the parking area for the next 2 minutes and thus he is correct about Kate's motion.
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I really need help (i will give brainlist) Which function has a greater y-intercept ... f(x) or g(x)?
g(x)
f(x)
They are the same.
Answer:
they are exacly the same
Step-by-step explanation:
Please help me ia m stuggling
Answer: use the Pythagorean theorem
if you use the Pythagorean theorem it would be so much easier:)
Step-by-step explanation:
1. Find the variation constant and an equation of variation where y varies directly as x and y=9 when x=1.
Answer:
k = 9
y = 9x
Step-by-step explanation:
Variation Constant Formula :
k = y/xk = 9/1k = 9Equation :
y = kxy = 9xAnswer:
[tex]y = x \\ the \: constant \: k \: will \: be \: y = kx \\ therefore \: if \: y = 9 \: and \: x = 1 \\ the \: equation \: will \: be \: 9 = k(1) \\ this \: gives \: k = 9 \\ therefore \: to \: represent \: in \: equation \: it \: will \: be \\ y = 9x[/tex]
Brian bought 22 pounds of flour for $10. How many pounds of flour did he get per dollar?
Answer:
$2.20
You do 22÷10 and you get 2.20
i need help can u guys help ;-;
Answer:
The answer for x and y will be x = Y + 7 and Y = 6x + 7Step-by-step explanation:
Y=6x - 7
6x - 7 = Y
6x = Y + 7
6x/6 = Y + 7/6
X = Y + 7
PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
B
Step-by-step explanation:
You don't have do do anything with the denominator because they are the same so simply subtract!
9 - 4 = 57 - 3 = 4The denominator stays the same5 [tex]\frac{4}{12}[/tex]Simplify= 5 [tex]\frac{1}{3}[/tex]
An auditorium has a seating capacity of 1500. For an upcoming event community event theater play, tickets cost $4 for adults and $2 for children. At last years play, twice as many children attended as did adults. If the attendance at this year's play has the same ratio, what expression would represent the best estimate of the total amount of money from ticket sales when the auditorium is filled to capacity ?
Answer:
from the question, the expression for the total amount of money from tickets sales will be T=4 × the number of children
Eleniz is using her phone all day. her battery life is down to
76 and it drains another 1/9 every hour. how many hours will
the battery last?
Answer:
6.84 hours
Step-by-step explanation:
I will have to assume 100 is fully charged and that it drains 1/9 of 100 for each hour
76 / ( 100 * 1/9) = 6.84 hrs
Kyle buys a car for $58,000. His car immediately starts depreciating, losing 23% of its value every year. How much will the car be worth in 12 years?
The depreciated value of the car after 12 years that Kyle buys for $58,000 today, which declines 23% annually, will be $2,520.
What is depreciation?Depreciation is the reduction or decrease in the value of an asset over time.
Depreciation occurs because an asset is put to use, and undergoes wear and tear.
The current price of the car = $58,000
The annual depreciation rate = 23%
The depreciated value after one year = 0.77 (1 - 23%)
Let the number of years of depreciation = x
The worth of the car after 12 years = 58,000 x 0.77^x
= 58,000 x 0.77^12
= 58,000 x 0.04344
= $2,519.52
= $2,520
The car's depreciated value can be modeled by the exponential function (decay) abˣ, which yields $2,520 in this situation.
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Type the correct answer in the box. use numerals instead of words. if necessary, use / for the fraction bar. what value of x satisfies this equation? round your answer to the nearest hundredth. the value of x is .
The values of x in f(x) = 3|x - 2| + 6 when f(x) = 18 are 6 and -2
How to determine the value of x?The function is given as:
f(x) = 3|x - 2| + 6
The value of f(x) is
f(x) = 18
So, we have:
3|x - 2| + 6 = 18
Subtract 6 from both sides
3|x - 2| = 12
Divide both sides by 3
|x - 2| = 4
Remove the absolute bracket
x - 2 = 4 or x - 2 = -4
Add 2 to both sides
x = 6 or x = -2
Hence, the values of x are 6 and -2
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Evaluate the expression when y=4.
y² + 6y +8
Answer:
48
Step-by-step explanation:
substitute y = 4 into the expression
y² + 6y + 8
= 4² + 6(4) + 8
= 16 + 24 + 8
= 48
