Ages Number of students 15-18 7 19-22 7 23-26 7 27-30 9 31-34 9 35-38 2 Find the relative frequency for the class with lower class limit 23 Relative Frequency
Answer:
14
Step-by-step explanation:
Relative Frequency = [tex]\frac{Frequency*100}{Total Frequency}[/tex]
Frequency for the class with lower class is 23 =7
Total Frequency= 7+7+7+9+9+9+2=50
Relative Frequency = [tex]\frac{7*100}{50}[/tex] = 14
The relative frequency for lower class limit 23 is 14
20+20+???
a. 80
b. 20
c .40
d. 100
Answer:
its C 40
Step-by-step explanation:
For the function f(x)=x^2−12x+32, find x when f(x)=−4.
Answer:
X=6
Step-by-step explanation:
Explanation in the picture
1. Substitute f(x) = -4 into f(x)= x^2 - 12x + 32
Step-by-step explanation:
f(x)=x^2-12x+32
divide both sides by 4
answer -1/4x^2+3x-8
sorry if im wrong lol
a glass fish tank in the shape of a rectangular prism has a base that measures 22 inches by 12 inches. If the tank can hold a maximum of 3,960 cubic inches of water, how much glass was used to construct the tank?
Answer:
582.76 square inches of glass is required to construct the tank.
Step-by-step explanation:
Base dimension = 22×12 inches
volume of fish tank =3960 cubic inches
volume= l×b×h
3960=22×12×h
h=3960/(22×12)
h=3960/462
h=8.57 inches
the glass used=lateral surface area of a rectangular prism
=2h(l+b)
=2×8.57(22+12)
=17.14(34)
=572.76square inches
what is the range for the possible side lengths AB of ABC.
Answer:
adg
Step-by-step explanation:
adg is the range for the side lengths AB of ABC
Hope it's help
Decompose 3p-1/p^2-1 into partial functions
(please select from the choices)
Answer:
a)
Step-by-step explanation:
[tex]\dfrac{3p-1}{p^2-1}[/tex]
Factorize the denominator:
[tex]\implies \dfrac{3p-1}{(p+1)(p-1)}[/tex]
Therefore,
[tex]\implies \dfrac{3p-1}{(p+1)(p-1)}=\dfrac{A}{p+1}+\dfrac{B}{p-1}[/tex]
[tex]\implies 3p-1=A(p-1)}+B(p+1)[/tex]
When p = 1:
[tex]\implies 2=A(0)}+B(2)[/tex]
[tex]\implies B=1[/tex]
When p = -1:
[tex]\implies -4=A(-2)}+B(0)[/tex]
[tex]\implies A=2[/tex]
Therefore,
[tex]\implies \dfrac{3p-1}{(p+1)(p-1)}=\dfrac{2}{p+1}+\dfrac{1}{p-1}[/tex]
HELP
The container that holds the water for the football team is 2/3 full. After pouring out 4 gallons of water, it is 4/9 full. How many gallons can the container hold?
Answer:
I'm pretty sure this is correct.
2/3 * 3 = 6/9
6/9 + 4/9 = 10/9
Simplified it's 10 1/9, so the final answer is 10 1/9.
pls answer ASAP Plss
Buddy it's actually Isosceles Triangle because of the symbols used in the diagram
What is the measure of angle x?
Answer:
83
Step-by-step explanation:
all triangles =180° total
180-53-44=83°
4. Zowie serves at a restaurant and makes 20% of what their sales as tips with base salary of $10.20 an hour. Each hour Zowie sells an average of $60 worth of food & drinks. They also make time and a half on any time worked over 8 hours in a single shift. If their work week contains three 10‐hour shifts, one 5‐hour shift, and one 11‐hour shift what is Zowie’s annual gross income and annual net income.
Use the income deductions as stated below.
Income Deductions:
• Pension deductions are 5%
• Employment Insurance deductions are 2.4%
• Income Tax deductions are as follows for annual salaries:
i. On the first $11,000, no income tax is paid,
ii. On the first $11,000 to $25,000, 8% of the income is deducted,
iii. On the first $25,000 to $50,000, 12% of the income is deducted, iv. On the first $50,000 to $100,000, 15% of the income is deducted,
v. Any income over $100,000, 20% of that income is deducted.
Answer:
ii.
Step-by-step explanation:
because i had this same problem and was told that was the answer
In the table below, y is a linear function of x.
х
y
5
3
5
13
7
-11
What is the value of y when x = 0?
Answer:
y= -7
Step-by-step explanation:
y=ax+b
Find a where a=y2-y1 /x2-x1
y2=13,y1=5 x2=5,x1=3
substituting the values
a=13-5/5-2
a=8/2
a=4
substituting a into the formular
y=4x+b
taking x and y values let say 3 and 5 for x and y
the equation becomes
5=4(3)+b
5=12+b
5-12=b
-7=b
substituting the values of a and b into the equation
y=4x-7
when x=0
y=4(0)-7
y=0-7
y=-7
so when x=0,y=-7
Victoria used 1.5 m of red ribbon and 240cm of blue ribbon to make a flower. How much
ribbon did she use in total?
The train was late is a compound or simple sentence
Answer:
This would be a compound sentence
Step-by-step explanation:
Hope that helps
Use the long division method to find the result when 6x3 + 19x2 + 10x + 1 is
divided by 2x + 1.
Answer:
Hope this answer helps you !
The first three terms of a sequence are given. Round to the nearest thousandth (if necessary). 13,39,117 Find the 6th term.
Answer:
3159
Step-by-step explanation:
This is Geometric Sequence where its common ratio =39/13=117/39=3
The Geometric Sequence General Formula = [tex]a_{n} =a*r^{n-1}[/tex]
where a is the 1st Term and r is the common ration
[tex]a_{6} =13*3^{6-1}=3159[/tex]
Valerie drives 400 meters up a hill that makes an angle of 20° with the horizontal. To the nearest tenth of a meter, what horizontal distance has she covered?
Answer:
482.96 meters, Hope that helped
Find 6 3/5 divided by 3 1/5 Write in simplest form
Answer:
[tex]\frac{33}{16}[/tex]
Step-by-step explanation:
33/16 is the answer
FedEx charges $14 per package plus $0.20 per
ounce. Write and solve for an equation that can be
used to find the weight of the package that costs
$19.40 to ship?
Answer:
19.40-14=5.40
5.40÷0.20=ounces
Hope this helps!!!
Answer:
27 ounces
Step-by-step explanation:
$14 package original charging fee
+ .20x27 = 5.40
14 + 5.4 = 19.4
$19.4
Amy spent 3/10 of her 365. 25 paycheck on new winter clothing how much money does Amy have left
.3 * 365.25 = 109.575
365 - 109.575 = 255.425 = $255.43
Arrange the following in order of increasing radius: O2-, F- , Ne ,Rb ,Br- Group of answer choices O2- < F- < Ne < Rb < Br- Br- < Rb < Ne < F- < O2- F- < Br- < O2- < Ne < Rb F- < O2- < Ne < Br- < Rb Rb < F- < Br- < Ne
The arrangement in order of increasing radius is F⁻ < O²⁻ < Ne < Br⁻ < Rb
Atomic radiusThis is the distance between the outermost electron and the nucleus
Electronic configuration of an atomThis is the arrangement of electrons around the nucleus
The electronic configurations of the elements are given in increasing order of atomic radius belowO - 2, 6 < F - 2, 7 < Ne - 2, 8 < Br - 2, 8, 18, 7 < Rb - 2, 8, 18, 8, 1Ionic radiusThis is the radius of an atom forming ionic bond
Since we have anions in the question and the atomic radius of an anion is greater than that of the corresponding atom,So, we have the electronic configurations of the corresponding ions in increasing order of ionic radius
F⁻ - 2, 8, < O²⁻ - 2, 8 < Ne - 2, 8 < Br⁻ - 2, 8, 18, 8 < Rb - 2, 8, 18, 8, 1
So, the arrangement in order of increasing radius is F⁻ < O²⁻ < Ne < Br⁻ < Rb
Learn more about ionic radius here:
https://brainly.com/question/8137711
Which expressions are equivalent to 6 +(-x) + 2x + (- 7) + 2x? Check all that apply. O x + x + 6 - 7 + x O 2x + 2 + x O 3-x + 2x - 4 + 2x O x-1 O x + 1
Answer: that equivalent to the expression 2x+3x+8-3x-2 would be the choices A and C. If you notice, in choice A, you have just combined all the like terms which results in 2x+6 and in Choice C, you have combined all your constants and the the two terms 2x and 3x resulting in 5x-3x+6 which all remain equivalent to he original given expression
Step-by-step explanation:
HELPPP PLSSSSSSSSS
There are 15 players on the basketball team. The cost of traveling to a tournament
is $650 plus $75 per player. If the team has a $1500 budget for this tournament,
how many of the 15 players can go? Write an inequality and solve the problem.
© There is a bag filled with 3 blue and 4 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting 2 that are different in colour?
Answer: THE ANSWER IS 18/42 IF YOU LOOKED THIS UP FOR HEGARTY MATHS THEN THIS IS RIGHT!!!!! Originally Answered: There is a bag filled with 3 blue and 4 red marbles. A marble is taken at random from the bag, the colour is noted and then it is replaced.
To find the height of a pole, a surveyor moves 150 feet away from the base of the pole and then, with a transit 4 feet tall, measures the angle of elevation to the top of the pole to be 42°. To the nearest foot, what is the height of the pole?
Answer: The answer is 139 feet
H = height of the pole =?
BC = ED = height of the transit = 4 ft
CD = BE = distance moved away from the base of the pole = 140 ft
Consider the ΔABE
tan44 = AE/BE
tan44 = h/140
h = 140 tan44
h = 135.2 ft
H = height of pole = AE + ED = h + ED = 135.2 + 4
H = 139.2 ft
Step-by-step explanation:
2. If the raffle has 200 tickets total, then
about how many tickets will be in the dining out
raffle?
If the raffle has 200 tickets total, then about 50 tickets will be in the dining out raffle.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
From the diagram:
Percentage of dinner out = 65% - 40% = 25%
For 200 total tickets:
Number of dinning out raffle = 25% of 200 = 0.25 * 200 = 50 ticket
If the raffle has 200 tickets total, then about 50 tickets will be in the dining out raffle.
Find out more on equation at: https://brainly.com/question/2972832
5. 26 = y + x
y = x
6. y = 2x + 7
y=-3x - 23
Solve each system of equations by substitution
Answer:
5.step 1
26=y+x
y=x
26=x+x
26=2x
then x=13
6.substitute y with the given equation equal to y the equate them with the first one and collect like terms the find x
1 8. 1 (minutes) 0 5 6 g(t) (cubic feet per minute) 12.8 15.1 20.5 18.3 22.7 Grain is being added to a silo. At time t = 0, the silo is empty. The rate at which grain is being added is modeled by the differentiable function g, where g(t) is measured in cubic feet per minute for 0 st 58 minutes. Selected values of g(t) are given in the table above. a. Using the data in the table, approximate g'(3). Using correct units, interpret the meaning of g'(3) in the context of this problem. b. Write an integral expression that represents the total amount of grain added to the silo from time t=0 to time t = 8. Use a right Riemann sum with the four subintervals indicated by the data in the table to approximate the integral. πί c. The grain in the silo is spoiling at a rate modeled by w(t)=32 sin where wſt) is measured in 74 cubic feet per minute for 0 st 58 minutes. Using the result from part (b), approximate the amount of unspoiled grain remaining in the silo at time t = 8. d. Based on the model in part (c), is the amount of unspoiled grain in the silo increasing or decreasing at time t = 6? Show the work that leads to your answer. =
Hi there!
a)
We can approximate g'(3) by finding the slope of g(t) over an interval containing t = 3.
We can use the endpoints t = 1 and t = 5 min for the best estimate.
[tex]slope = \frac{y_2 - y_1}{x_2 - x_1} = \frac{20.5-15.1}{5-1} = \boxed{1.35 \frac{ft^3}{min^2}}[/tex]
This means that the rate of grain being added to the silo is INCREASING at a rate of 1.35 ft³/min². (Or in other words, the grain is being poured at an increasingly greater rate)
b)
The total amount of grain added is the integral of g(t), so:
[tex]\text{total amount of grain} = \int\limits^8_0 {g(t)} \, dt[/tex]
We can do a right riemann sum by using the right endpoints (t = 1, t = 5, t = 6, t = 8) to calculate.
Riemann sums are essentially rectangles added up to calculate an approximate value for the area under a curve.
The bases are the spaces between each value in the chart, while the heights are the values of g(t).
Using the intervals and values in the chart:
[tex]1(15.1) + 4(20.5) + 1(18.3) + 2(22.7) = \boxed{160.8 ft^3}[/tex]
c)
We can subtract the two integrals to find the total amount of unspoiled grain.
With g(t) being fresh grain and w(t) being spoiled grain, let y(t) represent unspoiled grain.
[tex]y(t) = \int\limits^8_0 {g(t)} \, dt - \int\limits^8_0 {w(t)} \, dt[/tex]
Use a calculator to evaluate:
[tex]y(t) = 160.8 - \int\limits^8_0 {w(t)} \, dt = 160.8 - 99.05 = \boxed{61.749 ft^3}[/tex]
d)
We can do the first derivative test to determine whether the amount of grain is increasing or decreasing. (Whether the first derivative is positive or negative at this value).
For the above integral, we know that the derivative is:
[tex]y'(t) = g(t) - w(t)[/tex]
Plug in the values for t = 6:
[tex]w(6) = 32 \cdot \sqrt{sin(\frac{\pi (6)}{74})} = 16.06[/tex]
[tex]y'(6) = g(6) - w(6) = 18.3 - 16.06 = 2.23 \frac{ft^3}{min}[/tex]
This value is POSITIVE, so the amount of unspoiled grain is INCREASING.
I HAVE 5 MINS PLS HELP WILL MARK BRAINLIEST IF CORRECT!
Answer: Perimeter: 29 Area : 2593.5
Step-by-step explanation: Perimeter is plus it all together and the area is times altogether. Hope that helps! :)
work out 77.5% of 1500
HELP ASAP HELP ASAP
A map has a scale of 3 cm:20 km. If two cities are 6 cm apart on a map,
how far are the cities actually apart?
6 cm
3 cm
20 km
x km
Cross multiply and solve for "x."
А
30 km
B
40 km
С
60 km.
D
100 km