The table of the relative frequencies show that 70% of 8th graders want the water slides.
There is an association between grade level and field trip choice with the higher grades preferring Water slides more than roller skating.
9th graders would prefer waterslides if the trend continues.
What does the frequency table show?The percentage of 8th graders who want to go to water slides is:
= 0.14 / 0.20 x 100%
= 70%
As the grades increase, less people want to go roller skating which means that should this trend continue, 9th graders would prefer water slides.
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Answer:
See below
Step-by-step explanation:
From the table:
a) roller skating is 54 percent.....slides is only 46 percent
b) 8 th graders who want water slide = .14 / ( .14 + .06) = 70 percent
c) yes higher grade, higher want water slide
d) water slides ( see answer c )
Eric and Alexandrea have been logging in
for virtual tutoring and emailing
Ms.Ramos. Alexandrea has commucated
twice as much as Eric. Together they have
contacted Ms. Ramos 24 times. How
many times has Alexandrea communicated
with Ms.Ramos.
can someone please help me!! this assignment is due at 11:59 I need this done
Answer:
47.18 ft
Step-by-step explanation:
Hey there!
Using Trigonometric Formula;
SOHCAHTOA
We have; Angle of 65°
> Adjacent length, ,22
> h = ? opposite
So we use Tan
Tan ∆ = Opposite/ Adjacent
Tan (65°) = opposite (h)/(22)
h = Tan (65°)/(22)
= 47.18 ft
I hope this helps. Have a nice studies.
You have $2500 and want it to grow to $3600 in 2 years , what compound interest rate (compounded annually ) do you need ?
Answer:
18.2%
Step-by-step explanation:
Given data
Principal= $2500
Final amount= $3600
Time = 2 years
Rate=???
The expression for the rate is given as
r= ln(A/P)/t
substitute
r= ln(2500/3600)/2
r= ln(0.6944)/2
r= -0.364/2
r= 0.182
Hence the rate is 18.2%
Find The Area Of The Region. Interior Of R = 9 + 7 Sin Θ (Below The Polar Axis) 2) Find The Area Of The Region. Two Petals Of R = 8 Sin(3θ) 3) Find Dy/Dx.
1) Find the area of the region.
Interior of r = 9 + 7 sin θ (below the polar axis)
2) Find the area of the region.
Two petals of r = 8 sin(3θ)
3) Find dy/dx.
x=\sqrt[3]{t}
y=3-t
To find the area of the region interior to r = 9 + 7sin(θ) below the polar axis, we can integrate the function from the lower bound of θ to the upper bound of θ and take the absolute value of the integral.
To find the area of the region formed by two petals of r = 8sin(3θ), we can integrate the function over the appropriate range of θ and take the absolute value of the integral. To find dy/dx for the given parametric equations x = t^(1/3) and y = 3 - t, we differentiate y with respect to t and x with respect to t and then divide dy/dt by dx/dt.
To find the area of the region interior to r = 9 + 7sin(θ) below the polar axis, we need to evaluate the integral ∫[lower bound to upper bound] |1/2 * r^2 * dθ|. In this case, the lower bound and upper bound of θ will depend on the range of values where the function is below the polar axis. By integrating the expression, we can find the area of the region. To find the area of the region formed by two petals of r = 8sin(3θ), we need to evaluate the integral ∫[lower bound to upper bound] |1/2 * r^2 * dθ|.
The lower bound and upper bound of θ will depend on the range of values where the function forms the desired shape. By integrating the expression, we can calculate the area of the region. To find dy/dx for the parametric equations x = t^(1/3) and y = 3 - t, we differentiate both equations with respect to t. Taking the derivative of y with respect to t gives dy/dt = -1, and differentiating x with respect to t gives dx/dt = (1/3) * t^(-2/3). Finally, we can find dy/dx by dividing dy/dt by dx/dt, resulting in dy/dx = -3 * t^(2/3).
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Please help. I’m lost with this.
Answer:
35 miles
Step-by-step explanation:
You add up all of the miles on the chart to get 35 miles. Have a great day! I hope this helped.
the circumference of a circle is 40TT what is the radius
The circumference of a circle is given by the following formula:
\(c=2\pi r\)From this equation, we can solve for r by dividing both sides by 2π, like this:
\(\begin{gathered} \frac{c}{2\pi}=\frac{2\pi r}{2\pi} \\ \frac{c}{2\pi}=\frac{2\pi}{2\pi}r \\ \frac{c}{2\pi}=1\times r \\ \frac{c}{2\pi}=r \\ r=\frac{c}{2\pi} \end{gathered}\)By replacing 40π for c, we get:
\(r=\frac{40\pi}{2\pi}=20\)Then, the radius of the circle equals 20
Can someone help with these geometry questions? I gotta have answers fast, it’s urgent:(
Can't answer 1-6 cause I have no idea what you need
7) A triangle with two congruent sides is isosceles.
8) \(\overline{AC}\) and \(\overline{BC}\)
9) \(\angle C\)
10) \(\overline{AB}\)
11) \(\angle A, \angle B\)
12) isosceles triangle
Working out required, help asap please! ^^
Answer:
ARITHMETIC SEQUENCE
Step-by-step explanation:
16 - 10 = 6
22 - 16 = 6
d = 6
a = 10
Tn = a + ( n - 1 )d
Tn = 10 + ( n - 1 ) 6
Tn = 10 +6n - 6
Tn = 6n + 4
Rina is 6x+3/8 feet tall and Ryan is 5x+1/8 feet tall. How much taller is Rina than Ryan
Answer:
Rina is 1/4 feet taller than Ryan
Step-by-step explanation:
(height of Rina)-(height of Ryan)
6x+3/8-(5x+1/8)
6x+3/8-5x-1/8
x+3-1/8
x+2/8
x+1/4
PLEASE HELP DUES SOON, SOLVE THIS, I NEED IT SOLVED WITH A TVM SOLVER!!!
It will take approximately 138 months or 11 years and 6 months for the tithe to double in value if invested at 7.75% APR compounded monthly.
How long will it take for the tithe to double?To solve this problem, we can use the Time Value of Money (TVM) Solver function in Excel or a financial calculator.
The TVM Solver helps to calculate the time required to double the initial amount invested, given the interest rate, compounding frequency, and the present value of the investment.
Using the TVM Solver, we can enter the following values:
Present Value (PV) = -$35,000 (negative since it represents a cash outflow)Interest Rate (I/Y) = 7.75% per annum, compounded monthly, so the monthly interest rate is 0.0775/12 = 0.0064583Future Value (FV) = -$70,000 (negative since it represents a cash inflow, i.e., double the initial amount invested)Number of Periods (N) = the time required to double the initial investment
Solving for N, we get:
N = 138.24 months
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PLEASEEEE HELP I WILL MARK BRAINLIST
Find the value of x such that the data set has the given mean.
102. 119. 107, 115, 106, x; mean 119
Answer:
Integer - 72
Decimal - 72.3
Answer:
.here is the answer ............
Using the graph, determine the coordinates of the y-intercept of the parabola.
Answer:
-5
Step-by-step explanation:
Answer: it would be -5
Step-by-step explanation: it is negative 5 because that is where there is no x intercept
The combined mass of two children is 75lbs. The first child is four times the mass of the second child. What are the masses of the two children?
Ms. Perreca examines several math errors of one of her students to try to figure out the pattern of errors. What is the pattern of error for these particular problems?
10+ 6 = 4
11 - 5 = 16
The pattern of error seems to be adding 4 and subtracting 10 in each calculation.
In the first example, the student adds 4 to the correct sum of 10 and 6, resulting in 14 instead of the correct answer of 16. In the second example, the student subtracts 10 from the correct difference of 11 - 5, resulting in 1 instead of the correct answer of 6.
From these examples, we can observe a consistent pattern in the errors made by the student. Specifically, the student is adding 4 to the correct sum and subtracting 10 from the correct difference. This suggests that the student may have misunderstood or misapplied the rules of addition and subtraction.
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3.
The distance from Liverpool to Prague is 1200 km.
A flight from Liverpool to Prague lasts 4 hours.
Work out the average speed of the aeroplane.
What is the slope-intercept equation
for the following line?
y = [?]x + [ ]
Answer:
y = - 4/1 x - 3
Step-by-step explanation:
write -x^2+2xy-y^2 as the opposite of the square of a binomial
ANSWER
x+y)^2=x^2+y^2+2xy -eq1
because
first we will take the LHS of eq1, i.e,
(x+y)^2
(x+y)(x+y)
x(x+y)+y(x+y)
x^2+xy+xy+y^2
x^2+2xy+y^2
Or
x^2+2xy+y^2
Hence, LHS=RHS
Can you please help me do this please?
Answer:
80
Step-by-step explanation:
First move like terms to one side:
x/2=25+15
Notice that the sign (+ or -) changes when we switch it to the opposite side
x/2=40
Multiply both sides by 2...
x=80
Answer:
x = 80
Step-by-step explanation:
\(\frac{x}{2}\) - 15 = 25 ( add 15 to both sides )
\(\frac{x}{2}\) = 40 ( multiply both sides by 2 to clear the fraction )
x = 40 × 2 = 80
19. A) What is the pH of a 0.10M Tris-base solution? (pH 10.65) B) What is the pH of the solution after mixing 35.0 mL0.10M Tris-base with 2.50 mL of 1.00 MHCl. The pKa of Tris-acid is 8.30 at 25C. (pH7.90) C) What is the pH of a 0.10M Tris-acid solution? (pH 4.65
)
The pH of a 0.10M Tris-acid solution is 4.65.
pH: The pH of a solution is the negative logarithm (base 10) of the hydrogen ion concentration in moles per liter. In other words, it is a measure of the acidity or basicity of a solution. The pH scale ranges from 0 to 14, where 7 is neutral, less than 7 is acidic, and greater than 7 is basic or alkaline.What is the pH of a 0.10 M Tris-base solution? (pH 10.65)For the reaction, Tris-base + H₂O ↔ Tris-acid + OH⁻, the pKb of Tris-base can be computed as: pKb + pKa = 14pKb = 14 - pKa = 14 - 8.30 = 5.7Thus, Kb = antilog (-5.7) = 1.995 x 10⁻⁶, which is the equilibrium constant for the reaction Tris-base + H₂O ↔ Tris-acid + OH⁻[OH⁻] = Kb x [Tris-base] / [H₂O] = 1.995 x 10⁻⁶ x 0.10 / 1000 = 1.995 x 10⁻⁷pH = 14 - pOH = 14 - (-log[OH⁻]) = 14 - (-log(1.995 x 10⁻⁷)) = 10.65Therefore, the pH of a 0.10M Tris-base solution is 10.65.What is the pH of the solution after mixing 35.0 mL0.10M Tris-base with 2.50 mL of 1.00 M HCl. The pKa of Tris-acid is 8.30 at 25°C. (pH7.90)The balanced chemical equation is Tris-base + HCl ↔ Tris-acid + Cl⁻Initial concentration of Tris-base = (35.0 / 37.50) x 0.10 = 0.0933 MInitial concentration of HCl = (2.50 / 37.50) x 1.00 = 0.0667 MInitially, the mixture was a buffer solution with a pH of:pH = pKa + log([A⁻] / [HA])pH = 8.30 + log(0.0933 / 0.00667) = 9.35The number of moles of Tris-base and HCl can be calculated as follows:Number of moles of Tris-base = 35.0 / 1000 L x 0.10 mol / L = 0.0035 molNumber of moles of HCl = 2.50 / 1000 L x 1.00 mol / L = 0.0025 mol
The limiting reagent in the reaction is HCl, and all of it will be used up. Tris-base will be converted to Tris-acid. Therefore, the number of moles of Tris-base remaining will be:Number of moles of Tris-base remaining = 0.0035 mol - 0.0025 mol = 0.0010 molSince the volume of the mixture is 37.5 mL, the concentration of Tris-acid is 0.0010 mol / 0.0375 L = 0.0267 M.The concentration of Cl⁻ in the mixture is 0.0667 M, and the concentration of Tris-base remaining is 0.0010 M. Therefore, the concentration of OH⁻ can be calculated as follows:[OH⁻] = Kw / [H⁺] = 1.0 x 10⁻¹⁴ / 0.0667 = 1.50 x 10⁻¹³The pH of the mixture is:pH = pKa + log([A⁻] / [HA])pH = 8.30 + log(0.0010 / 0.0267) = 7.90Therefore, the pH of the solution after mixing 35.0 mL0.10M Tris-base with 2.50 mL of 1.00 M HCl is 7.90.What is the pH of a 0.10M Tris-acid solution? (pH 4.65)The pKb of Tris-acid can be calculated as:pKb + pKa = 14pKb = 14 - pKa = 14 - 8.30 = 5.7Kb = antilog (-5.7) = 1.995 x 10⁻⁶The Kb for Tris-acid can be used to calculate the concentration of OH⁻:[OH⁻] = Kb x [HA] / [H₂O] = 1.995 x 10⁻⁶ x 0.10 / 1000 = 1.995 x 10⁻⁷The pH of the solution can be calculated as:pH = 14 - pOH = 14 - (-log[OH⁻]) = 14 - (-log(1.995 x 10⁻⁷)) = 4.65Therefore, the pH of a 0.10M Tris-acid solution is 4.65.
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Write 2/11 as a recurring decimal HELP PLEASE
Step-by-step explanation:
2/11 = 0.18181818......
Hope it helps you
Answer:
0. 181818181818181818181818181818181818181818...
Step-by-step explanation:
Hope it helps! Please mark Brainliest! :)
How many miles can you go on 28 gallons
Answer:
depends on how many miles you can go on 1 mile.
Answer:
you can go around 840-1680
Step-by-step explanation:
1 gallon = 30-60 miles
28x30=840 miles
28x60=1680 miles
Your welcome
4. In order for entrances to be accessible to all, ramps are being put in place in two different
buildings. One will be smaller than the other, however, both ramps must be proportional in a 3:1
ratio. Two measurements are provided below. What are the measurements of the other sides?
Question 8 of 25
If f(x) = 2x − 6 and g(x) = 3x + 9, find (ƒ— g)(x).
Answer:
5x+3
Step-by-step explanation:
(f+g)(x) = f(x)+g(x)
= 2x−6 + (3x+9)
= 5x+3
Find the volume of the rectangular
prism.
The volume is
(Type a whole number or a decimal.)
0.6 ft
3.8 ft
0.8 ft
Answer:
Hope this will help you
Step-by-step explanation:
\(volume \: of \: rectangular \: prism = l \times b \times h \\ = 0.6 ft\times 0.8 ft\times 3.8ft \\ = 1.824 {ft}^{3} \)
what is the weight of a square if a triangle weighs 4 grams?
Explain your reasoning
HHH
0
8. 2x
C. 4x
D. 2x
E. 4x
Answer: i believe is c or d i not 100% sure
I would like to see the answer for number one. You don't need to solve the rest.
Answer:3/4
Step-by-step explanation:
tan^2+1=sec^2
the population of a small town is modeled by the equation 1750 e 0.6 t where t is measured in years. in approximately how many years (rounded to the nearest year) will the town's population reach 20,000?
20,000 = 1750 e^(0.6t)
Divide both sides by 1750:
11.43 = e^(0.6t)
Take the natural log of both sides:
ln(11.43) = 0.6t
Divide both sides by 0.6:
t ≈ 6 years
So it will take approximately 6 years (rounded to the nearest year) for the town's population to reach 20,000.
To find the number of years it takes for the population to reach 20,000, we need to solve the equation for t, using the given equation:
20,000 = 1750 * e^(0.6 * t)
Step 1: Divide both sides of the equation by 1750:
20,000 / 1750 ≈ 11.43 = e^(0.6 * t)
Step 2: Take the natural logarithm (ln) of both sides:
ln(11.43) ≈ 2.435 ≈ 0.6 * t
Step 3: Divide both sides by 0.6 to isolate t:
2.435 / 0.6 ≈ t
Step 4: Calculate t:
t ≈ 4.06
Approximately, it will take 4 years (rounded to the nearest year) for the town's population to reach 20,000.
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The set of life spans of an appliance is normally distributed with a mean = 48 months and a standard deviation = 8 months. what is the z-score of an appliance that stopped working at 64 months?
The z-score of an appliance that failed after 64 months is 2.
What is mean?In mathematics, particularly statistics, there are several types of means. Each mean is used to summarize a specific set of data, often in order to better understand the overall value (magnitude and sign) of a given data set.The arithmetic mean, also known as "arithmetic average," of a data set is a measure of the central tendency of a finite set of numbers: specifically, the sum of the values divided by the number of values.To find the z-score:
The given parameters are:
Mean, \(\mu\) = 48 monthsStandard deviation, \(\sigma\) = 8 monthsThe z-score is then computed as follows:
\(z=\frac{x-\mu}{\sigma}\)We have the following for an appliance that stopped working after 64 months:
x = 64So, the equation becomes:
z = 64 - 48/8Compare and contrast the differences:
z = 16/8Calculate the quotient:
z = 2Therefore, the z-score of an appliance that failed after 64 months is 2.
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Consider a line process with 3 processing stages. The production requires each unit to go through Stage A through Stage C in sequence. The characteristics of the Stages are given below: Stage A B C Unit processing time(minutes) 1 2 3 Number of machines 1 1 2 Machine availability 90% 100% 100% Process yield at stage 100% 100% 100% Determine the system capacity. Which stage is the bottleneck? What is the utilization of Stage 3.
The system capacity is 2 units per minute, the bottleneck stage is Stage A, and the utilization of Stage 3 is 100%.
A line process has three processing stages with the characteristics given below:
Stage A B C Unit processing time(minutes) 1 2 3 Number of machines 1 1 2 Machine availability 90% 100% 100% Process yield at stage 100% 100% 100%
To determine the system capacity and the bottleneck stage and utilization of Stage 3:
The system capacity is calculated by the product of the processing capacity of each stage:
1 x 1 x 2 = 2 units per minute
The bottleneck stage is the stage with the lowest capacity and it is Stage A. Therefore, Stage A has the lowest capacity and determines the system capacity.The utilization of Stage 3 can be calculated as the processing time per unit divided by the available time per unit:
Process time per unit = 1 + 2 + 3 = 6 minutes per unit
Available time per unit = 90% x 100% x 100% = 0.9 x 1 x 1 = 0.9 minutes per unit
The utilization of Stage 3 is, therefore, (6/0.9) x 100% = 666.67%.
However, utilization cannot be greater than 100%, so the actual utilization of Stage 3 is 100%.
Hence, the system capacity is 2 units per minute, the bottleneck stage is Stage A, and the utilization of Stage 3 is 100%.
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1. Evaluate 4 times a number q plus 25 when q=2. (1 point) 7337 27 31 042 10
Answer:
33
Step-by-step explanation:
I believe that the question is asking this
4q+25 and not 4(q+25)
so 4(2)=8+25 is 33
So 4 times a number q means 4*q and when q is 2 you will get 8 and when you add that to 25 you get 33