Answer:
f(x) = -5x² + 2x + 3
Step-by-step explanation:
f(x) = -5x² + 2x + 3
a survey of 100 high school students provided this frequency table on how students get to school: what is the probability that a randomly selected student either takes the bus or walks
Answer:
3/5
Step-by-step explanation:
;)
The probability that a randomly selected student either takes the bus or walks is 3/5.
What is the probability?
The probability formula defines the likelihood of the happening of an event. It is the ratio of favorable outcomes to the total favorable outcomes.
A survey of 100 high school students provided this frequency table on how students get to school:
The probability that a student selected is a senior student or one that drives to school.
From the table, the number of senior students is 25 + 20 + 5 = 50
So the probability of selecting a senior student is 50/100 = 1/2
Now the probability of selecting a student that drives to school.
The number of students that drive to school is 3 + 2 +5 = 10
So the probability of a student who drives to school is 10/100 = 1/10.
The probability that a randomly selected student either takes the bus or walks is;
[tex]=\dfrac{1}{2}+\dfrac{1}{10}\\\\= \dfrac{1 \times 5+1\times 1}{10}\\\\= \dfrac{1+5}{10}\\\\= \dfrac{6}{10}\\\\=\dfrac{3}{5}[/tex]
Hence. the probability that a randomly selected student either takes the bus or walks is 3/5.
Learn more about probability here;
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What is the recursive rule for the sequence?
−2.7, −8.3, −13.9, −19.5, −25.1
an=an+1+5.6, where a1=−2.7
an=an+1−5.6, where a1=−2.7
an=an−1+5.6, where a1=−2.7
an=an−1−5.6, where a1=−2.7
Answer:
[tex]a_{n} =a_{n-1} -5.6[/tex] where [tex]a_{1} =-2.7[/tex]
Step-by-step explanation:
This is an arithmetic sequence with the first term is [tex]a_{1}[/tex] = -2.7 and has a common difference of [tex]d=-5.6[/tex].
Arithmetic Sequence: [tex]a_{n} =a_{n-1} +d[/tex]
[tex]a_{n}[/tex] is the nth term and [tex]d[/tex] is the common difference.
The common difference: -2.7, -8.3, -13.9...
Subtract: -2.7- (-8.3) = -5.6, -13.9 - (-8.3) = -5.6
Common difference: [tex]d = -5.6[/tex]
Recursive rule: [tex]a_{n} = a_{n-1} -5.6[/tex]
Solve for xxx. Enter the solutions from least to greatest. (x + 5)^2 - 64 = 0
Answer:
x1= -13,x2=3
Step-by-step explanation:
we have
(x+5)^2 -64=0
<=>x^ 2 + 10x+ 25-64=0
<=>x^ 2+10x-39=0
<=>( x-3).(x+13)=0
Answer:
-13, 3
Step-by-step explanation:
khan
What is the explicit formula for this sequence?
-7, -4, -1, 2, 5, …
Answer:
y = 3x -7?
Step-by-step explanation:
started from 7 and going infinite
If two heterozygous individuals are crossed, what
percent of their offspring are also expected to be
heterozygous?
Complete the punnet square plssssss
Answer:
50%
Step-by-step explanation:
Example of Aa crossed with Aa (both hetero).
Outcomes are:
AA (homo)
Aa (hetero)
aA (hetero)
aa (homo)
So the ratio of hetero to all outcomes = 2:4 = 50%
alicia is a nurse in 2016 she earned a monthly salary of £1750
Answer:
Step-by-step explanation:
Given :
Salary in 2016 = 1750
Pay rise in 2017 = 2%
Monthly salary = (1 + 2%) of 175= 1.02 * 1750 = 1785
Hours worked per week = 45 hours
Number of weeks = 48 weeks
The total hours worked for the year :
(48 * 45) = 2160 hours
Average pay per hour for the year ;
(Average Salary earned over 12 months) /total number of hours worked for the year
(1785 * 12) / 2160
= 21420 / 2160
= 9.9166 per hour
= $9.92 per hoj
Nicole buys a meal in a town with a 9% sales tax. She tips 17% on the bill before adding the sales tax. She pays a total of $15.30. What should be the original cost of her meal?
Answer:
17/100×15.30=2.60
9/100×15.30=1.37
15.30-(1.37+2.60)=11.33
A woman received 5 per cent interest on a loan of $300 for 1 year. How much interest did she receive? $5 $15 $30 $150 none of these
Answer:
15$
Step-by-step explanation:
this is because if you use our formula of I= prt
we can substitute our varibles for our equation
I= 300 x 0.05 x 1
we turn 5 in 0.05 to represent out rate, due to this our rate would have to be Simplified into a percent then a decimal
after this if we now proceed through our equation we will get
I = 300 x 0.05 x 1
I = 15
three-quarter the product of two numbers x and y, what is the algebriac expression?
Answer:
x × y =3/4
Step-by-step explanation:
Product is the keyword and it is the answer to a multiplication equation. Thats why it is a multiplication symbol.
Have a great day! Late ik.
Lilac~
An algebraic expression for the given statement is 3/4 xy.
Given that, three-quarters is the product of two numbers x and y.
We need to write an algebraic expression for the given statement.
What is an algebraic expression?Algebraic expressions are the mathematical statement that we get when operations such as addition, subtraction, multiplication, division, etc. are operated upon on variables and constants.
Now, the product of two numbers x and y=xy
Three-quarters is the product of two numbers x and y=3/4 xy
Therefore, an algebraic expression for the given statement is 3/4 xy.
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WILL GIVE BRAINLIEST
Answer:
Should be $300
let me know if it's correct:)
Need help ASAP ITS DUE Soon???!!!
Answer:
V=942.5
Step-by-step explanation:
V=(π)(r)^2(h)
V= (π)(10/2)^2(12)
V=942.5
Find the volume of the cylinder.
Either enter an exact answer in terms of π or use 3.143.t, 14 for π.
Answer:
V = 75 pi
Step-by-step explanation:
We know the volume of a cylinder is given by
V = pi r^2 h where r is the radius and h is the height
V = pi ( 5)^2 (3)
V = pi (25)(3)
V = 75 pi
===============================================
Work Shown:
r = 5 is the radius
h = 3 is the height
V = pi*r^2*h .... volume of a cylinder
V = pi*5^2*3
V = pi*25*3
V = pi*75
V = 75pi ..... exact volume in terms of pi
V = 75*3.14
V = 235.5
If you used the approximation pi = 3.14, then the approximate volume is about 235.5 cubic units. Use more decimal digits of pi to get a more accurate answer.
Note how the pi*r^2 portion represents the area of the circular base. So we can say
volume = (area of base)*(height)
what is 8690 rounded off to the neareset hundred?
am just asking
Answer:
8700
Step-by-step explanation:
If it is 8,690 and you round to the nearest hundred it would add one to 90 making it 8,700
Answer:
Did not necessarily round up or down, but to the hundred that is nearest to 8690.
8690 rounded to the nearest hundred is: 8700
Suzanne was making lemonade for the school carnival. She had bought 12 1/5 pounds of sugar to use for the lemonade. When she was finished making lemonade, she had 4 4/5 pounds of sugar left over. How much sugar did she use for the lemonade?
Answer:
[tex]7\frac{2}{5}[/tex]
Step-by-step explanation:
According to the Question,
Given, Suzanne was making lemonade for the school carnival. She had bought [tex]12\frac{1}{5}[/tex] pounds of sugar to use for the lemonade & When she was finished making lemonade, she had [tex]4\frac{4}{5}[/tex] pounds of sugar left over.
Thus, the sugar did she use for the lemonade is [tex]12\frac{1}{5} - 4\frac{4}{5}[/tex] .
[tex]\frac{61}{5} - \frac{24}{5}[/tex] ⇒ [tex]\frac{37}{5}[/tex] or [tex]7\frac{2}{5}[/tex] Pounds .Answer:
7 2/5
Step-by-step explanation:
Find the equation of the parabola that has zeros of x = –2 and x = 3 and a y–intercept of (0,–30).
A)
y = x2 – 5x – 30
B)
y = 5x2+ 5x – 30
C)
y = –5x2 + 5x + 30
D)
y = 5x2 – 5x – 30
It's the letter B y=-5x2+5x+30.
Find numbers a and b, or k, so that f is continuous at every point.
Answer:
[tex] \boxed{k = 7} [/tex]
Step-by-step explanation:
When interpreting this piecewise function, to determine whether or not the function is continuous, the limit to the left must be the same as the limit to the right.
Therefore to find an a value where the function is continuous at every point, we must determine where the limit is for the function.
In this case, the function is continuous at x = 7.
lim x→7 [x²] = lim x→7 [kx].
(7)² = k(7)
49 = 7k
÷7 ÷7
7 = k
k = 7.
Consider a figure in a coordinate plane. For each of the transformations below, first, transform the figure as stated. Then reverse the order of the sentences and transform the original figure a second time. Did the sequences result in the same image or a different image? Drag and drop each transformation in the cell with the appropriate heading
Answer:
no
Step-by-step explanation:
As an estimation we are told £3 is €4.
Convert £33 to euros.
Answer:
44 euros
Step-by-step explanation:
if the ratio between an english pound and a euro is 3 to 4 respectivley, the ratios will hold true for any number. Since 33/3 = 11, we can stratigically multiply by 1,
3/4 = (3/4)(11/11)
so the ratios would be the same, multiplying, you would get 33/44, which means 33 pounds for 44 euros
Which solid has a great volume
Ayuda con estos ejercicios Porfavor es para Mañana
Can someone please help me I don’t understand this at all
Answer:
140.3 ft³
Step-by-step explanation:
Volume of cylinder = πr²h
= π x 1.5² x 4
= 28.3 ft³
P.S. The diameter in the picture is 3ft. FIrst, change it to radius. 3/2= 1.5 ft
Volume of cuboid = lwh
= 7 x 4 x 4
= 112 ft³
Total volume = 112 + 28.3 = 140.3
Hope this helps!
For the equation y=2x + 6, find the value of y when
(a) x= 0 (b) x= 1
(c) x=2 (d) x=3
WITH CALCULATION AND EXPLANATION PLEASE.FULL CALCULATION
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \huge \mathrm{ \underbrace{Answer}}[/tex]
The given equation is :
[tex] \huge \boxed{ y = 2x + 6 }[/tex]
Now, let's solve for each value of "x"
[tex]\mathrm {\hookrightarrow \:1. \: \: when \: \: x = 0}[/tex]
[tex]y = 2x + 6[/tex][tex]y = (2 \times 0) + 6[/tex][tex]y = 6[/tex][tex]\mathrm{\hookrightarrow 2.\: \: when \: \: x = 1}[/tex]
[tex]y = 2x + 6[/tex][tex]y = (2 \times 1) + 6[/tex][tex]y = 2 + 6[/tex][tex]y = 8[/tex][tex]\mathrm {\hookrightarrow \: 3. \: \: when \: \: x = 2}[/tex]
[tex]y = 2x + 6[/tex][tex]y = (2 \times 2) + 6[/tex][tex]y = 4 + 6[/tex][tex]y = 10[/tex][tex]\mathrm{\hookrightarrow \: 4. \: \: when \: \: x = 3}[/tex]
[tex]y = 2x + 6[/tex][tex]y = (2 \times 3) + 6[/tex][tex]y = 6 + 6[/tex][tex]y = 12[/tex][tex] \mathrm{✌TeeNForeveR✌}[/tex]
Answer:
[tex]\huge\boxed{Answer\hookleftarrow}[/tex]
Equation = [tex]\large\bold{y = 2x + 6}[/tex]
a) [tex]x = 0[/tex]
Substitute the value of x as 0 in the equation.
[tex]y = 2x + 6 \\ y = 2(0) + 6 \\ y = 0 + 6 \\ y = 6[/tex]
✐ Answer of a) is [tex]\large\bold{y = 6}[/tex]
____________________
b) [tex]x = 1[/tex]
Substitute the value of x as 1 in the equation.
[tex]y = 2x + 6 \\ y = 2(1) + 6 \\ y = 2 + 6 \\ y = 8[/tex]
✐ Answer of b) is [tex]\large\bold{y = 8}[/tex]
____________________
c) [tex]x = 2[/tex]
Substitute the value of x as 2 in the equation.
[tex]y = 2x + 6 \\ y = 2(2) + 6 \\ y = 4 + 6 \\ y = 10[/tex]
✐ Answer of b) is [tex]\large\bold{y = 10}[/tex]
____________________
d) [tex]x = 3[/tex]
Substitute the value of x as 3 in the equation.
[tex]y = 2x + 6 \\ y = 2(3) + 6 \\ y = 6 + 6 \\ y = 12[/tex]
✐ Answer of d) is [tex]\large\bold{y = 12}[/tex]
____________________
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
# ꧁❣ RainbowSalt2²2² ࿐
Find the circumference of a circle whose area is /. A. B. C. D. Please select the best answer from the choices provided A B C D
Answer:
Circumference of circle = (15.5)π cm
Step-by-step explanation:
Missing information:
Area of circle = 60π cm²
Find:
Circumference of circle
Computation:
Area of circle = πr²
Area of given circle = π(Radius of circle)²
60π = πr²
60 = r²
Radius of circle = 7.75 cm (Approx)
Circumference of circle = 2πr
Circumference of circle = 2(π)(7.75)
Circumference of circle = (15.5)π cm
What’s the least number of faces a polyhedron can have? And why?
Answer:
The minimum number of faces a polyhedron can have is 4 faces.
Step-by-step explanation:
We know that a polyhedron is a shape surrounded by polygons. We also know that we need at least 3 sides to make a polygon. So, at the minimum a polyhedron can be made by using only triangular faces but in order to make a closed figure we need at least four triangular faces (which is a tetrahedron).
A dolphin is 9 feet below the surface of the ocean. If its position can be recorded as −9 feet, what would the position of 0 represent?
Answer: The surface of the ocean
Answer: It represents being at the surface
Negative values are below the surface, while positive values are above the surface.
In other words, -9 means 9 feet below sea level. The value 0 is at sea level. Something like 12 means you're 12 feet above sea level.
A 2m tall man observes the angle of elevation of a tower 45m to be 30 degree.find the distance between man and the tower
Answer:
CARRY ON LEARNING BEGGINER PALANG PO KASI AKO EH
Step-by-step explanation:
sorry po
justin surveyed his freibds about how mant pets they have use the data in the table to find the median mode and range
Answer:
where is the data from the table?
ANSWER PLEASEEEE!!!!!!!!!!!
Answer:
2^-6 is the correct answer
Step-by-step explanation:
Answer:
Step-by-step explanation:
[tex]\frac{1}{64}[/tex]
=[tex]\frac{1}{2^6}[/tex]
according to the indices rule if u take denominator to the numerator the it exponent must be negative if it is positive and vice versa.So.
=[tex]2^{-6}[/tex]
[tex]1,6 + 6,13[/tex]
= 1,6 + 6,13
= 7,73 .
FollowMe? FollowBack.
Answer:
7,73Step-by-step explanation:
1,6
6,13 +
7,73
[tex] \: \: \: [/tex]someone help me out please:(
Answer:
[tex]m(x) = - 3x - 3[/tex]
Step-by-step explanation:
[tex]m(x) = f(x) - g(x)[/tex]
[tex]m(x) = (2x+1)−(5x+4)[/tex]
[tex]m(x) = 2x+1−(5x)−1 \times 4[/tex]
[tex]m(x) = 2x+1−5x−1 \times 4[/tex]
[tex]m(x) = 2x+1−5x−4[/tex]
[tex]m(x) = −3x+1−4[/tex]
[tex]m(x) = −3x−3[/tex]
Hope it is helpful...