Answer:
Step-by-step explanation:
Here are the probabilities for each event:
The probability of drawing a blue or green marble out of a bag containing three blue, two green, eight yellow, four red, and three orange marbles is 0.25.
The probability of choosing a card with a heart on it out of a standard deck of cards is 0.25.
The probability of getting an A or B on a paper if you could get in A,B,C, or F is 0.5.
The probability of getting a heads or tails on a flip of a coin is 0.5.
I hope this helps! Let me know if you have any other questions.
if you depsoit $1000 at 100% simple interest, what will your ending balance be after one year
Answer:
$2,000
Step-by-step explanation:
A=P(rincipal)R(ate)T(ime)
1000*1*1=1000
1000(principal)+1000(interest)=2,000(total)
One rectangle is "framed" within another. Find the area of the shaded region if the "frame" is 3 units wide.
The area of the shaded region, with a frame of 3 units wide, is 264 square units. The inner rectangle is 6x4 units, and the outer rectangle is 18x16 units.
To solve the given problem, we have to find the area of the shaded region if the frame is 3 units wide. If the frame is 3 units wide, then the dimensions of the inner rectangle (the shaded region) will be (12 - 6) × (10 - 6) which simplifies to 6 × 4.
Therefore, we can say that the inner rectangle has a length of 6 units and a width of 4 units.The dimensions of the outer rectangle are (12 + 3 + 3) × (10 + 3 + 3) which simplifies to 18 × 16. Therefore, we can say that the outer rectangle has a length of 18 units and a width of 16 units.
The area of the shaded region can be obtained by subtracting the area of the inner rectangle from the area of the outer rectangle. Therefore, the Area of the outer rectangle = length × width= 18 × 16 = 288 square units
Area of the inner rectangle = length × width= 6 × 4 = 24 square units
Area of the shaded region = Area of the outer rectangle - Area of the inner rectangle = 288 - 24= 264 square units
Therefore, the area of the shaded region is 264 square units.
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Hello! Can anyone please tell me the measurement of t and v ? Any help is gladly appreciated.
Answer:
v= 80, t=100
Step-by-step explanation:
yea
using the line of best fit
The monthly cell phone bill when shared data equals zero is given as follows:
$26.
How to define a linear function?The slope-intercept representation of a linear function is given by the equation presented as follows:
y = mx + b
The coefficients of the function and their meaning are described as follows:
m is the slope of the function, representing the change in the output variable y when the input variable x is increased by one.b is the y-intercept of the function, which is the initial value of the function, i.e., the numeric value of the function when the input variable x assumes a value of 0. On a graph, it is the value of y when the graph of the function crosses the y-axis.The intercept of the line in this problem is given as follows:
b = 26.
Hence $26 is the monthly cell phone bill when shared data equals zero.
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Calculate the surface area
To calculate the surface area of a rectangular prism, we need to find the area of each of its six faces and then add them up. In this case, the dimensions of the shape are:
Length = 8 cmWidth = 3 cmHeight = 6 cmRefer to the attachment below.
Three pairs of facesThere are three pairs of faces on a rectangular prism:
Two faces (top & bottom) with dimensions: Length × Width (8 cm × 3 cm).Two faces (front & back) with dimensions: Length × Height (8 cm × 6 cm).Two faces (left & right) with dimensions: Width × Height (3 cm × 6 cm).Finding the areaArea of Length × Width faces8 cm × 3 cm = 24 cm²
Since there are two of these faces, the total area is:
2 × 24 = 48 cm²
Area of Length × Height faces8 cm × 6 cm = 48 cm²
Since there are two of these faces, the total area is:
2 × 48 = 96 cm²
Area of Width × Height faces3 cm × 6 cm = 18 cm²
Since there are two of these faces, the total area is:
2 × 18 = 36 cm²
Adding the areas of the facesNow, add up the areas of all six faces:
Surface Area = 48 + 96 + 36 = 180 cm²
AnswerSo, the surface area of the rectangular prism is 180 cm².
________________________________________________________
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help me answer this please
Answer:
3,952 ft
Step-by-step explanation:
Use the sine function since you need to find the hypotenuse but know the opposite side of the angle, since sine is equal to opposite/hypotenuse.
sin8°=\(\frac{550}{c}\)
csin8°=550
c=550/sin8°
c= 3,952
what is the product of 25 and (6/5n + 3 1/4)
Answer:
999
Step-by-step explanation:
An association between which ear is used for cell phone calls and whether the subject is left-handed or right-handed. The study is reported in "Hemispheric Dominance and Cell Phone Use," by Seidman et al., JAMA Otolaryngology—Head & Neck Surgery, Vol. 139, No. 5. The study began with a survey e-mailed to 5000 people belonging to an otology online group, and 717 surveys were returned. (Otology relates to the ear and hearing.)
Sampling Method
Assume that the population consists of all students currently in your statistics class. Describe how to obtain a sample of six students so that the result is a sample of the given type.
a. Simple random sample
b. Systematic sample
c. Stratified sample
d. Cluster sample
Answer:
Explained below.
Step-by-step explanation:
In this case we need to select a sample of 6 students from the entire statistics class.
(a)
A simple random sample is a part of a statistical population in which every individual of the population has an equal probability of being selected.
Assigning each individual of the population a unique number and using a computer or random number generator for selection is a procedure to select a simple random sample.
So, we can assign unique numbers to each student in the class and use a random number generator to select any six.
(b)
Systematic sampling is a kind of probability sampling method in which individuals from a larger population are nominated according to a random initial point and a static, periodic interval.
For instance, consider a study where the researcher first selects a name randomly from the alphabetized order and then follow a fixed pattern of selecting every 10th person from the population.
Suppose there are n students in the class.
And the first student selected is the kth student. Then the remaining five can be selected in a equal interval of k students.
That is, the second student selected will be the 2kth student, the 3rd will be the 3kth, the 4th will be the 4kth, the 5th will be the 5kth and the 6th will be the 6kth.
The sample selected will be a systematic random sample.
(c)
Stratified sampling is a kind of sampling in which whole population is distributed into homogeneous subgroups before one takes a sample. These subgroups are called strata which is mutually exclusive or related.
In this process the population members cannot be excluded.
To select six students we first divide the entire class into 6 subgroups or 6 strata.
Then select one student from each group.
The sample selected will be a stratified random sample.
(d)
Cluster Sampling is a method to randomly select samples from a population that is too enormous for simple random sampling.
Using cluster sampling, the experimenter distributes the entire population into distinct groups, called clusters.
Then, a simple random sample of clusters is chosen from the population. Then the experimenter performs the analysis on data from the sampled clusters.
To select a cluster sample, first divided the entire class into various small groups consisting of 2 or 3 students each.
Then select a simple random sample of these groups to select 6 students.
The sample selected will be a cluster sample.
A random sample of 500 registered voters in Phoenix is asked if they favor the use of oxygenated fuels year-round to reduce air pollution. If more than 313 voters respond positively, we will conclude that at least 60% of the voters favor the use of these fuels.
Required:
a. Find the probability of type I error if exactly 60% of the voters favor the use of these fuels.
b. What is the type II error probability β if 75% of the voters favor this action?
Answer:
\(\alpha=0.11767\)
\(\beta=0\)
Step-by-step explanation:
From the question we are told that:
Population size size \(N=500\)
Sample mean \(n=313\)
Null hypothesis \(H_0:P=0.6\)
Alternative hypothesis\(H_a:P>0.6\)
Generally the equation for for P value is mathematically given by
\(P=\frac{n}{N}\)
\(P=\frac{313}{500}\)
\(P=0.6\)
Generally the mean \(\=x\) is mathematically given by
\(\=x=np\\\=x=500*0.6\)\(\=x=300\)
Generally the standard deviation \(\sigma\) is mathematically given by
\(\sigma=\sqrt{npq}\)
\(\sigma=\sqrt{500*0.6*(1-0.6)}\)
\(\sigma=10.95\)
a)
Generally the probability of Type_I error \(P(X>313)\) is mathematically given as
\(P(X>313)=P(\frac{x-\mu}{\sigma}>\frac{313-300}{10.95} )\)
\(P(X>313)=P(z>1.187 )\)
Therefore using z table
\(\alpha=0.11767\)
b)
Null hypothesis \(H_0:P=0.75\)
Alternative hypothesis\(H_a:P>0.75\)
Generally the probability of Type_II error \(P(X<313)\) is mathematically given as
\(P=0.75,n=500\\q=1-0.75\\q=0.25\)
Generally the mean \(\=x'\) is mathematically given by
\(\=x'=500*0.75\)
\(\=x'=500*0.75\)
\(\=x'=375\)
Generally the standard deviation \(\sigma\) is mathematically given by
\(\sigma=\sqrt{npq}\)
\(\sigma=\sqrt{500*0.75*(1-0.75)}\)
\(\sigma=9.68\)
Therefore
\(P(X<313)=P(\frac{x-\mu}{\sigma}<\frac{313-375}{9.68} )\)
\(P(X<313)=P(z<-6.405)\)
Therefore from standard normal table
\(P(X<313)=0\)
\(\beta=0\)
a triangular prism is 37 millimeters long and has a triangular face with a base of 42 millimeters and a height of 28 millimeters.The other two sides of the triangle are each 35 millimeters.What is the surface area of the triangular prism?
No links pls
Answer: 4145.43
Have a great day! ;)
A car is going 10 miles per hour when the driver hits the breaks. The car travels 3 feet after the brakes are applied. A little while later, the same car is going 20 miles per hour. This time, when the driver hits the brakes about how far does the car travel after the brakes are applied
Answer:
6
Step-by-step explanation:
10/3=20/x
20/10=2
x/3=3*2
x=6
Which of the following is equivalent to -4^-2?
Answer:
(-1)/16
Step-by-step explanation:
-4^-2 = -1/((4)(4)) = True
(-1)/4^2
Evaluate 4^(-2).
4^(-2) = 1/16:
Answer: -1/16
Simplify the following:
(-1)/(4×4)
Hint: | Multiply 4 and 4 together.
4×4 = 16:
Answer: (-1)/16
What is the range of the function y=3√√x+8 1x
Answer:
The range of the function is: -∞≤y≤∞.
Consider the provided function.
The range of the function is the set of all values which a function can produce or the set of y values which a function can produce after substitute the possible values of x.
The range of a cubic root function is all real numbers.
Now consider the provided function.
The above function can be written as:
Taking cube on both sides.
The graph of the function is shown in figure 1:
For any value of x we can find different value of y.
Here, the cube root function can process negative values. Since, the function can produce any values, the range of the given function is -∞≤y≤∞ .
Therefore, the range of the function is: -∞≤y≤∞ (A).
A) Find an equation for the line perpendicular to the tangent line to the curve y=x^3-4x+6 at the point (2,6)
-The equation is y=
b) What is the smallest slope on the curve? At what point on the curve does the curve have this slope?
-The smallest slope on the curve is
-The curve has the smallest slope at the point
c) Find equations for the tangent lines to the curve at the points where the slope of the curve is 8.
Answer:
f(x) = x³ - 4x + 6
f'(x) = 3x² - 4
a) f'(2) = 3(2²) - 4 = 12 - 4 = 8
6 = 8(2) + b
6 = 16 + b
b = -10
y = 8x - 10
b) 3x² - 4 = 0
3x² = 4, so x = ±2/√3 = ±(2/3)√3
= ±1.1547
f(-(2/3)√3) = 9.0792
f((2/3)√3) = 2.9208
c) 3x² - 4 = 8
3x² = 12
x² = 4, so x = ±2
f(-2) = (-2)³ - 4(-2) + 6 = -8 + 8 + 6 = 6
6 = -2(8) + b
6 = -16 + b
b = 22
y = 8x + 22
f(2) = 6
y = 8x - 10
The equation perpendicular to the tangent is y = -1/8x + 25/4
-The smallest slope on the curve is 2.92
The curve has the smallest slope at the point (1.15, 2.92)
The equations at tangent points are y = 8x + 16 and y = 8x - 16
Finding the equation perpendicular to the tangentFrom the question, we have the following parameters that can be used in our computation:
y = x³ - 4x + 6
Differentiate
So, we have
f'(x) = 3x² - 4
The point is (2, 6)
So, we have
f'(2) = 3(2)² - 4
f'(2) = 8
The slope of the perpendicular line is
Slope = -1/8
So, we have
y = -1/8(x - 2) + 6
y = -1/8x + 25/4
The smallest slope on the curveWe have
f'(x) = 3x² - 4
Set to 0
3x² - 4 = 0
Solve for x
x = √[4/3]
x = 1.15
So, we have
Smallest slope = (√[4/3])³ - 4(√[4/3]) + 6
Smallest slope = 2.92
So, the smallest slope is 2.92 at (1.15, 2.92)
The equation of the tangent lineHere, we set f'(x) to 8
3x² - 4 = 8
Solve for x
x = ±2
Calculate y at x = ±2
y = (-2)³ - 4(-2) + 6 = 6: (-2, 0)
y = (2)³ - 4(2) + 6 = 6: (2, 0)
The equations at these points are
y = 8x + 16
y = 8x - 16
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simplify √6+3√6
18√2
4√36
18
4√6
Answer:
Step-by-step explanation:
√6 + 3√6 = 4√6
Hope this helps
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If 1,200 students participated in the survey, how many rated the cafeteria food “poor”?
200 students
300 students
400 students
600 students
Answer:
The answer is 300
Answer:
300 students
Step-by-step explanation:
hope this helps!
a father is four times as old as the sun in 10 years time the father will be twice as old as the son .if the father is 20years and son is 5 years currently, how old will the father be 29 years from now?
29 years from now, the father will be 49 years old.
Let's start by setting up the given information:
Currently, the father is 20 years old, and the son is 5 years old.
In 10 years, the father will be twice as old as the son.
The father is currently four times as old as the son.
Determine the age of the father and son in 10 years:
In 10 years, the father's age will be 20 + 10 = 30 years.
In 10 years, the son's age will be 5 + 10 = 15 years.
Write equations based on the given information:
The father's age in 10 years will be twice the son's age in 10 years: 30 = 2 × 15.
The father's current age is four times the son's current age: 20 = 4 × 5.
Solve the equations:
From the second equation, we find that the son's current age is 5 years.
Plugging this value into the first equation, we get: 30 = 2 × (5 + 10).
Simplifying further, we have: 30 = 2 × 15, which is true.
Determine the current age of the son in 29 years:
The son's current age is 5 years.
Adding 29 years to the son's current age, we find that the son will be 5 + 29 = 34 years old.
Determine the current age of the father in 29 years:
The father's current age is 20 years.
Adding 29 years to the father's current age, we find that the father will be 20 + 29 = 49 years old.
Therefore, 29 years from now, the father will be 49 years old.
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Set up the integral to find the area of the region inside the circle
(x−1)^2+y^2=1
and outside the circle x^2+y^2=1. [Hint: First sketch the region of integration. Next convert the equations to polar coordinates. Use these equations to solve for their intersection points, this will give you the bounds to set up the integral.]
The area of the region inside the circle (x−1)^2+y^2=1 and outside the circle x^2+y^2=1 is 4.
The area of the region inside the circle (x−1)^2+y^2=1 and outside the circle x^2+y^2=1 can be calculated using polar coordinates.
The equation of the inner circle in polar coordinates is r_1^2=1+2cosθ and the equation of the outer circle in polar coordinates is r_2^2=1.
The intersection points of the two circles can be found at θ=±π/3.
The area of the region can be calculated using the integral:
Area=∫_π/3^-π/3 (1+2cosθ)dθ=(2+4sinθ)|_π/3^-π/3=(2+4sin(-π/3))-(2+4sin(π/3))=4.
Therefore, the area of the region is 4.
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Find the distance around each figure. Use 3.14 as an approximation for π(pie)
30. The figure is made up of a rectangle and two identical semicircles.
Answer:
Step-by-step explanation:
Find the the slope of the line that contain 5,3 and -1,4
Answer:
-1/6
Step-by-step explanation:
the equation to do this is y2-y1/x2-x1
therefore you set it up as 4-3/-1-5
then when you simplify it it would be 1/-6
therefore the slope is -1/6
The spring concert at a certain high school sold 150 tickets. Students were charged $3 each and adults $7 each. The income from the sale of tickets was $786. How many students and how many adults bought tickets?
Answer:
66 student tickets and 84 adult tickets
Step-by-step explanation:
Write a system of equations. When writing the equation, group together amounts that have the same labels. You can only use the amounts in one equation and not both. I am going to use x to represent student tickets and y to represent adult tickets.
\(x + y = 150\\3x + 7y = 786\)
I am going to use elimination to solve. To do this, I am going to eliminate the x variable first. I am going to multiply the first equation by -3. I am doing this so the x's have the exact same number, but one of them is negative and one is positive, so when they are added they will equal zero.
\(-3(x+y = 150)\\-3x-3y=-450\)
Your two new equations.
\(-3x-3y=-450\\3x+7y=786\)
Now add and solve for y.
\(4y = 336\\4y/4=336/4\\y = 84\)
Now solve for x. I am going to use the first equation and substitute 84 for y.
\(x+y=150\\x+84=150\\x+84-84=150-84\\x=66\)
Answer:
66 student tickets84 adult ticketsStep-by-step explanation:
Let x represent the number of higher-value (adult) tickets. Then 150-x is the number of student tickets. The total income from sales was ...
7x +3(150-x) = 786
4x = 336 . . . . . . . . . simplify, subtract 450
x = 84 . . . . . . . . divide by 4; number of adult tickets sold
150-x = 66 . . . . number of student tickets sold
66 students and 84 adults bought tickets.
Write an expression using variables and/or numbers for each statement Mark had $35 but then spent m
Let's begin by identifying key information given to us:
Mark had $35. Let the amount in Mark's hand be represented as x
Mark spent m
The expression is represented as:
\(\begin{gathered} y=x-m \\ x=35 \\ \Rightarrow y=35-m \\ \\ \therefore y=35-m \end{gathered}\)Logarithmic Functions have what type of asymptote?
O Horizontal
O Vertical
Answer:
Both the square root and logarithmic functions have a domain limited to xx-values greater than 00. However, the logarithmic function has a vertical asymptote descending towards −∞−∞ as xx approaches 00, whereas the square root reaches a minimum yy-value of 00. The range of the square root function is all non-negative real numbers, whereas the range of the logarithmic function is all real numbers.
Can I please get some help I’ve been stuck on this question for a while!
Using the radius of the Ferris wheel and the angle between the two positions, the time spent on the ride when they're 28 meters above the ground is 12 minutes
How many minutes of the ride are spent higher than 28 meters above the ground?The radius of the Ferris wheel is 30 / 2 = 15 meters.
The highest point on the Ferris wheel is 15 + 4 = 19 meters above the ground.
The time spent higher than 28 meters is the time spent between the 12 o'clock and 8 o'clock positions.
The angle between these two positions is 180 degrees.
The time spent at each position is 10 minutes / 360 degrees * 180 degrees = 6 minutes.
Therefore, the total time spent higher than 28 meters is 6 minutes * 2 = 12 minutes.
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In polar coordinates, the positive x-axis is called the __
axis.
Answer:
Polar axis.
Step-by-step explanation:
When looking at characteristics of a Polar Graph, the positive x-axis is called the Polar axis.
Answer:
polar axis.
Step-by-step explanation:
Help me pls I do not know
TRUE/FALSE. the linear probability model always contains heteroskedasticity when the dependent variable is a binary variable unless all of the slope parameters are zero.
The Linear probability model always contains heteroskedasticity when the dependent variable is binary unless all of the slope parameters are zero. It's true.
Probability is the branch of mathematics concerning numerical descriptions of how probable an event is to do, or how likely it's that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates the impossibility of the event and 1 indicates certainty.
In statistics, a direct probability model is a special case of a double retrogression model. Then the dependent variable for each observation takes values that are moreover 0 or 1.
The introductory sapience is that the direct probability model can be used whenever the relationship between probability and log odds is roughly direct over the range of modeled chances.
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(brainliest is gonna begiven answer correctly please) Use the formula V = s³, where V is the volume and s is the edge length of the cube, to solve this problem.
A cube-shaped bin has an edge length of 12 yard.
What is the volume of the container?
Enter your answer, as a fraction in simplest form, in the box.
Answer:
\(\sf V=\dfrac18\: \sf yd^3\)
Step-by-step explanation:
Volume of a cube formula
\(\sf V=s^3\)
where:
V = volumes = edge lengthGiven:
s = 1/2 yard\(\sf \implies V=\left(\dfrac12\right)^3\)
Apply exponent rule \((\frac{a}{b})^c=\dfrac{a^c}{b^c}\)
\(\sf \implies V=\dfrac{1^3}{2^3}\)
\(\sf \implies V=\dfrac18\: \sf yd^3\)
Volume:-
side³(1/2)³1/2³1/8yd³Lia uses 14 cups of flour to make 4 loaves of bread. How much flour would you expect her to use to make 12 loaves of bread?
Answer:
She would need 42 cups of flour
Step-by-step explanation:
what is 11/2 times 1/3 as a fraction
Answer:
11/2 times 1/3 is 11/6
Step-by-step explanation:
11/2 times 1/3,
We have to multiply the numerators and denominators,
\((11/2)(1/3) = (11*1)/(2*3) = 11/6\\11/6\)
hence we get 11/6