Texting While Driving According to a Pew poll in 2012, 58% of high school seniors admit to texting while driving. Assume that we randomly sample two seniors of driving age. a. If a senior has texted while driving, record Y; if not, record N. List all possible sequences of Y and N. b. For each sequence, find by hand the probability that it will occur, assuming each outcome is independent. c. What is the probability that neither of the two randomly selected high school seniors has texted? d. What is the probability that exactly one out of the two seniors has texted? e. What is the probability that both have texted?
Answers
a) The possible sequences of Y and N are YY ,YN ,NY ,NN. b) The probability for each sequence:
P(YY) = P(Y) * P(Y) = 0.58 * 0.58 = 0.3364
P(YN) = P(Y) * P(N) = 0.58 * 0.42 = 0.2436
P(NY) = P(N) * P(Y) = 0.42 * 0.58 = 0.2436
P(NN) = P(N) * P(N) = 0.42 * 0.42 = 0.1764
c) The probability that neither of the two randomly selected high school seniors has texted (NN) is given by P(NN) = 0.1764.d) P(exactly one has texted) = P(YN) + P(NY) = 0.2436 + 0.2436 = 0.4872e)The probability that both seniors have texted (YY) is given by P(YY) = 0.3364.
a. If we randomly sample two high school seniors of driving age and record Y if a senior has texted while driving and N if not, the possible sequences of Y and N are:
YY ,YN ,NY ,NN
b. Assuming each outcome is independent, we can calculate the probability for each sequence:
P(YY) = P(Y) * P(Y) = 0.58 * 0.58 = 0.3364
P(YN) = P(Y) * P(N) = 0.58 * 0.42 = 0.2436
P(NY) = P(N) * P(Y) = 0.42 * 0.58 = 0.2436
P(NN) = P(N) * P(N) = 0.42 * 0.42 = 0.1764
c. The probability that neither of the two randomly selected high school seniors has texted (NN) is given by P(NN) = 0.1764.
d. The probability that exactly one out of the two seniors has texted can occur in two ways: YN or NY. So, the probability is the sum of these two probabilities:
P(exactly one has texted) = P(YN) + P(NY) = 0.2436 + 0.2436 = 0.4872
e. The probability that both seniors have texted (YY) is given by P(YY) = 0.3364.
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Related Questions
207 students went to Rye Playland, Five buses were filled and 7 students traveled in cars,
How many students were in each bus?
Answers
Answer:
Step-by-step explanation:
207 - 7 car students
200 went by 5 buses.
200÷5=40
40 students per bus
pls solve this 4 a branliest
Answers
Answer:
B
Step-by-step explanation:
It says she thought half which equals to 1/2 or 0.5
In a large sample of customer accounts, a utility company determined that the average number of days between when a bill was sent out and when the payment was made is 28 with a standard deviation of 7 days. Assume the data to be approximately bell-shaped.
Estimate the percentage of bills for which payment was made in greater than 42 days.
Answers
Percentage of bills for which payment was made in greater than 42 days.
is 2.5%
What is empirical rule?In statistics, the 68–95–99.7 rule, also known as the empirical rule, is a shorthand used to remember the percentage of values that lie within an interval estimate in a normal distribution: 68%, 95%, and 99.7% of the values lie within one, two, and three standard deviations of the mean, respectively.
Given,
Mean μ = 28
Deviation σ = 7 days
Empirical Formula:
μ ± 2σ
= 28 ± 2(7)
= 28 ± 14
= [14, 42]
The empirical rule shows that 95% of the distribution lies within two standard deviation, in this case, from 14 to 42 days.
Thus, the remaining 5% of the distribution lies outside this range.
One half lies above 42 and the other below 14.
So, the probability of payment was made in greater than 42 days is 2.5%.
Hence, 2.5% of bills were paid in greater than 42 days.
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Given f(x) = 3 and g(x) = cos(x). What is Limit of left-bracket f (x) minus g (x) right-bracket as x approaches negative pi?
Answers
Answer:
C
cos pie= -1
so (3-(-1)=3+1=4
Step-by-step explanation:
Given four functions f1(n)=n100,
f2(n)=1000n2, f3(n)=2n,
f4(n)=5000nlgn, which function will have the largest
values for sufficiently large values of n?
Answers
For sufficiently large values of n, the function f4(n) = 5000nlog(n) will have the largest values among the given functions. Among the given functions, the function f4(n) = 5000nlog(n) will have the largest values for sufficiently large values of n.
This can be understood by comparing the growth rates of the functions. As n increases, the function f1(n) = n^100 will grow rapidly but still be outpaced by the exponential growth of f2(n) = 1000n^2. However, the function f3(n) = 2n grows even faster than f2(n) because it has a linear growth rate.
In contrast, the function f4(n) = 5000nlog(n) exhibits logarithmic growth, where the growth rate slows down as n increases. However, the logarithmic term ensures that the function will eventually surpass the other functions in terms of value for sufficiently large values of n. This is because logarithmic growth is slower than polynomial growth but still faster than constant growth.
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shelly sews a square blanket that has an area of 144 square feet. it has 36 square blocks, each the same size. what is the approximate length of each side of a block? (1 point)
Answers
The side of the square of each block = 2 feet
Given,
Shelly sews a square blanket that has an area of 144 square feet.
and, it has 36 square blocks, each the same size.
To find the approximate length of each side of a block
Now, According to the question:
36 square blocks of same size. We need to find the area of each square block. so we divide = area / square blocks
= 144/ 36
= 4
The area of each square = 4 square feet
We know that
Area of square = side ^2
Side ^2 = 4
side = \(\sqrt{4}\)
Side = 2
Hence, The side of the square of each block = 2 feet
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13u = 26 is it 39, 338 , or 2
Answers
Answer:
13u = 26
13*2 = 26
2 is the answer
Answer:
Today: Monday, 12 October 2020
Hour: 09.17 WIB (in Indonesian)
_________________________
13u = 26
u = 26/13
u = 2
could someone explain? i will have brainliest! thanks
Answers
Answer:
a. 44
Step-by-step explanation:
using inverse cosine we can find the angle since we have the length of the hypotenuse and adacent
cos^-1 (13/18) = 43.76
.Use the given information to find the exact value of each of the following.
a. sin 2theta =
b. cos 2theta =
c. tan 2theta =
cot theta = 11, theta lies in quadrant III
a. sin 2theta =
Answers
The exact value of sin 2θ is -2√(1 / 122).
To find the value of sin 2θ, we can use the double-angle identity for sine:
sin 2θ = 2sinθcosθ
Since we are given cotθ = 11 and θ lies in quadrant III, we can determine the values of sinθ and cosθ using the Pythagorean identity:
cotθ = cosθ / sinθ
11 = cosθ / sinθ
Squaring both sides of the equation:
\(121 = cos^2θ / sin^2θ\)
Using the Pythagorean identity: \(sin^2θ + cos^2θ = 1,\) we can substitute \(cos^2θ = 1 - sin^2θ\) into the equation:
\(121 = (1 - sin^2θ) / sin^2θ\)
Multiplying both sides:
\(121sin^2θ = 1 - sin^2θ\)
Rearranging the equation:
\(122sin^2θ = 1\\sin^2θ = 1 / 122\)
Taking the square root of both sides:
sinθ = ±√(1 / 122)
Since θ lies in quadrant III, sinθ is negative. Thus:
sinθ = -√(1 / 122)
Now, substituting this value into the double-angle identity for sine:
sin 2θ = 2sinθcosθ
sin 2θ = 2(-√(1 / 122))cosθ
sin 2θ = -2√(1 / 122)cosθ
Therefore, the exact value of sin 2θ is -2√(1 / 122).
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the size of the largest angle in a triangle is 3 times the size of the smallest angle.The other angle is 37 degrees less than angle x. work out in degrees the size of angles x, y and z
Answers
Answer:
The sizes of the angles are 34° , 44° , 102°
Step-by-step explanation:
The given is:
The size of the largest angle in a triangle is 3 times the size of the smallest angle
The third angle is 10° more than the smallest angle
The size of the third angle is x
We need to find the size of each angle in the triangle
∵ The size of the smallest angle = x°
∵ The size of the largest angle is 3 times the size of the smallest angle
∴ The size of the largest angle = x × 3 = (3x)°
∵ The third angle is 10° more than the smallest angle
∴ The size of the third angle = (x + 10)°
Add the size of the three angles and equate the sum by 180°
∵ The sum of the sizes of the interior angles of a Δ is 180°
∴ x + (3x) + (x + 10) = 180
∴ x + 3x + x + 10 = 180
- Add like terms
∴ 5x + 10 = 180
- Subtract 10 from both sides
∴ 5x = 170
- Divide both sides by 5
∴ x = 34
∵ x is the size of the smallest angle
∴ The size of the smallest angle is 34°
∵ 3x is the size of the largest angle
∴ The size of the largest angle = 3(34) = 102°
∵ x + 10 is the size of the third angle
∴ The size of the third angle = 34 + 10 = 44°
The sizes of the angles are 34° , 44° , 102°
write least to greatsest plsssssssssssssssssssssss i give 100 points
Answers
Answer:
-3.5,-3,-2\(\frac{1}{2}\), -2,2.5
Step-by-step explanation:
For numbers that are negative, the larger the number is the lesser the value is. For numbers that are positive, the larger the number is the larger is value is. Positive numbers are always greater than negative numbers.
Answer:
-3.5 | -3 | -2\(\frac{1}{2}\) | -2 | 2.5 |
Step-by-step explanation:
Negative number are smaller than positive numbers so 2.5 is the largest number. Negative numbers are kind of opposite of positive numbers. The larger the negative number is, the smaller it is. With positive numbers, the larger the number, the larger the value is.
3Kim eats 3 pounds of rice in one week, which is of the total rice in the full rice bag. Howmany pounds of rice are in the full rice bag
Answers
Step 1: Calculate the percentage accuracy for both Round 1 and Round 2
For Round 1, the percentage accuracy will be
\(\begin{gathered} \text{percentage accuracy=}\frac{Number\text{ of targetS }}{Number\text{ of throws}}\times100\text{ \%} \\ \text{percentage accuracy=}\frac{9}{12}\times100\text{ \%} \\ \text{percentage accuracy= }\frac{900}{12}\text{ \%} \\ \text{Percentage accuracy=75 \%} \end{gathered}\)For round 1, the percentage accuracy is 75%
For Round 2,the percentage accuracy will be
\(\begin{gathered} \text{Percentage accuracy=}\frac{\text{Number of targets}}{Number\text{ of throws}}\times100\text{ \%} \\ \text{percentage accuracy=}\frac{16}{20}\times100\text{ \%} \\ \text{percentage accuracy=}\frac{1600}{20}\text{ \%} \\ \text{percentage accuracy=80 \%} \end{gathered}\)For Round 2, the percentage accuracy is 80%
Therefore, with the calculation above we can conclude that on the comparison,
Sasha threw more accurately in Round 2 because she hit the target on a higher percentage of her throws.
Hence,
The correct answer is OPTION D
Answer:
Sasha threw more accurately in Round 2 because she hit the target on a higher percentage of her throws.
Step-by-step explanation:
Hector is building a metal sculpture in the shape of an equilateral triangle. After he divides ametal bar into 3 equal pieces, Hector figures each side of the triangular sculpture can be atmost 9 feet long.Let x represent the perimeter of the triangular sculpture. Which inequality describes theproblem?
Answers
One of the properties of an equilateral triangle is that all the sides are equal
From the statement given, each of the lengths of the triangle is at most 9 feet long means that each of the lengths is less than or equal to 9 feet
This can be represented mathematically as
\(\begin{gathered} l\leq9ft \\ \text{Where l is the length} \end{gathered}\)The perimeter of an equilateral triangle is the addition of the three equal lengths i.e.
\(l+l+l=\text{ 3l}\)If x represents the perimeter, then
HELP ASAP PLEASE ASAP PLEASE
Answers
Answer:
Step-by-step explanation:
x intercept the coordinate : (-4,0)
y intercept coordinate(0,3)
y=mx+b
y=b=3 when x=0
m=3-0/0+4
m=3/4
y= 3/4 x +3
-3/4 x+y=3
first choice -3/4 x second choice - 1 (y) third choice 3
please help!!!!! math functions
Answers
Answer:
A and C
Step-by-step explanation:
For every x value, there should be at most 1 y value.
B and D violate that constraint.
What is the domain and range of f(x)= |x-1| +2 ?
Help!!!!
Answers
Note, the domain is undefined.
How is the distribution of Helen’s data this year different from Helen’s data last year? Modify the box plot to show last year’s data and use it to support your answer.
Answers
The interquartile range of this year's data for the lengths is greater than the interquartile range of last year's data for the lengths.
How to complete the five number summary of a data set?Based on the information provided about the length of fishes Helen caught this year, we would use a graphical method (box plot) to determine the five-number summary for the given data set as follows:
Minimum (Min) = 7.First quartile (Q₁) = 10.Median (Med) = 13.Third quartile (Q₃) = 15.Maximum (Max) = 22.For this year's IQR, we have:
Interquartile range (IQR) of data set = Q₃ - Q₁
Interquartile range (IQR) of data set = 15 - 10
Interquartile range (IQR) of data set = 5.
Based on the information provided about the length of fishes Helen caught last year, we would use a graphical method (box plot) to determine the five-number summary for the given data set as follows:
Minimum (Min) = 7.First quartile (Q₁) = 12.Median (Med) = 13.Third quartile (Q₃) = 16.Maximum (Max) = 22.For last year's IQR, we have:
Interquartile range (IQR) of data set = Q₃ - Q₁
Interquartile range (IQR) of data set = 16 - 12
Interquartile range (IQR) of data set = 4.
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Complete Question:
The data for the lengths in inches of 11 fishes caught by Helen last year when arranged are 7, 8, 13, 14, 12, 15, 12, 16, 12, 17, 22. Also, the lengths of the fishes caught this year are 7, 7, 9, 10, 13, 10, 13, 11, 13, 14, 15, 15, 18, 22
How is the distribution of Helen’s data this year different from Helen’s data last year?
Nancy has the following data:
4 12 2 v 18
If the median is 12, which number
could v be?
Answers
If the median of the given data is 12, then we need to arrange the numbers in ascending order:
2, 4, v, 12, 18Since the median is the middle value when the data is arranged in ascending order, v must be a number between 4 and 12 (exclusive) in order to maintain the median as 12.
Therefore, v could be any number greater than 4 and less than 12.
give us the number of distinct permutations of the word appalachian that have all a’s together.
Answers
The number of distinct permutations of the word appalachian that have all a’s together is 1,663,200 different ways.
What is the number of distinct permutations?The number of distinct permutations of the word appalachian that have all a’s together is calculated as follows;
The given word;
appalachian - the total number of the letters = 11 letters
If we put all the A's together, we will have;
= aaaapplchin
There 4 letters of A
The number of distinct permutations of the word appalachian that have all a’s together is calculated as;
= 11! / 4!
= 1,663,200 different ways.
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Three cars are shown below, along with
their original prices.
The price of each car is then rounded to
the nearest £100.
a) Work out which car's price changes the
most.
b) By how much does this car's price
change?
Car X
£13,420
MATHS X
Car Y
£17,590
MATHS Y
Car Z
£12,860
MATHS Z
Answers
In linear equation , the car y's price changes the most.
What are a definition and an example of a linear equation?
A linear equation with one variable is one that contains just one variable. It has the formula Ax + B = 0, with A and B being any two real numbers and x being an ambiguous variable with only one possible value. One such linear equation in one variable is 9x + 78 = 18.According to the question
a) Car x : £ 10320 ≈ £ 10300 10320 - 10300 = 20
Car y : £ 15430 ≈ £ 15400 15430 - 15400 = 30
Car z : £ 17490 ≈ £ 17500 17490 - 17500 = 10
10 < 20 < 30
so the car y's price changes the most.
b) this car's price change £ 30
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Which fraction is closest to the benchmark 1?
A. 1/5
B. 1/3
C. 4/9
D. 8/9
Answers
Answer: D
Step-by-step explanation:
The larger the denominator gets, the smaller the parts are split, therefore 8/9 is the closest to 1
A fish tank is in the shape of a cuboid.
The length of the fish tank is 0.8 m and the width is 0.3 m.
The volume of water in the fish tank is 108 litres.
1m cubed=1000 litres.
Work out the depth of the water in the fish tank.
Answers
Answer:
Length = 0.8m
Breadth = 0.3m
Volume = 108litres = 108÷1000 = 0.108m³
Volume = l x b x h
0.108 = 0.8 x 0.3 x h
0.108 ÷ ( 0.8 x 0.3 ) = h
0.45 = h
The solution is 0.45 m
The height of the cubical fish tank is H = 0.45 m
What is the volume of a Cuboid?
A cuboid is defined as a three-dimensional shape, that has six rectangular faces, eight vertices and twelve edges
The volume of a cuboid is the product of its length , width and height
The volume of the cuboid is given by
Volume of Cuboid = Length x Width x Height
Given data ,
Let the height of the cubical fish tank be = H
The length of the cubical fish tank L = 0.8 m
The width of the cubical fish tank W = 0.3 m
The volume of water in fish tank V = 108 L
So , 108 L = 0.108 m³
The volume of the cubical fish tank V = 0.108 m³
Now ,
The Volume of Cuboid = Length x Width x Height
Substituting the values in the equation , we get
0.108 = 0.8 x 0.3 x H
H x 0.24 = 0.108
Dividing both sides of the equation by 0.24 , we get
H = 0.108 / 0.24
The value of H = 0.45
Therefore , the value of H = 0.45 m
Hence , the height of cubical fish tank is 0.45 m
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The temperature rose 5 degrees from 6:00am to 12:00pm.
Answers
The average rate of change per hour in the temperature is 0.83 degrees.
What is the average rate of change per hourTo find the average rate of change per hour, we need to divide the total change in temperature by the number of hours over which the temperature changed.
The temperature rose by 5 degrees from 6:00 am to 12:00 pm, which is a period of 6 hours.
Therefore, the average rate of change per hour can be calculated as follows:
average rate of change per hour = total change in temperature / number of hours
So, we have
average rate of change per hour = 5 degrees / 6 hours
average rate of change per hour = 0.83 degrees/hour (rounded to two decimal places)
So, the average rate of change per hour is 0.83 degrees.
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which side lengths form a right triangle?A. 1,5,26B. 1.5,2,2.5C. 4,4, √32
Answers
ANSWER:
The correct choices are B and C
STEP-BY-STEP EXPLANATION:
For it to be a right triangle, it must fulfill the Pythagorean theorem that says the following:
\(a^2+b^2=h^2\)We apply for each case, like this
\(\begin{gathered} 1^2+5^2=26^2\rightarrow26=676\rightarrow\text{ This is false therefore it is not a right triangle} \\ 1.5^2+2^2=2.5^2\rightarrow6.25=6.25\rightarrow\text{ This is true therefore it is a right triangle} \\ 4^2+4^2=(\sqrt[]{32})^2\rightarrow32=32\rightarrow\text{ This is true therefore it is a right triangle} \end{gathered}\)what is the solution to the equation below? round your answer to two decimal places. 3•7^x=10.48
Answers
Answer:
0.64
Step-by-step explanation:
Answer:
x = 0.64
Step-by-step explanation:
It is right!
No links please :(
8. Compare the two box plots below. Which statement comparing the two box plots is FALSE?
A. Store A has sold the most wristbands in one day.
B. Store A has more predictable sales.
C. Store B has a greater median than Store A.
D. The fewest number of wristbands sold in a day is 25.
Answers
Store A has sold the most wristbands
How many liters are equal to 6,934 milliliters? Use the placement of the decimal point when dividing by a power of 10 to help you solve.
693.4 liters
6.934 liters
69.34 liters
69,340 liters
Answers
Answer:
6.934
Step-by-step explanation:
6,934 milliliters is equal to 6.934 liters.
What is Unit Conversion?Unit conversion is defined as expressing the same quantity by different measurement units.
For example, a distance of 20 meter can be also expressed as 2000 cm. The distance is same.
Given a volume in milliliters, that is 6,934 milliliters.
We have to convert this to liters.
We have the conversion that,
1 liter = 1000 milliliters
1000 milliliters = 1 liter
1 milliliter = 1/1000 liter
6,934 milliliters = 6,934 × (1/1000) liter
= 6.934 liters
Hence the correct unit is 6.934 liters.
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Five years ago, someone used her $40,000 saving to make a down payment for a townhouse in RTP. The house is a three-bedroom townhouse and sold for $200,000 when she bought it. After paying down payment, she financed the house by borrowing a 30-year mortgage. Mortgage interest rate is 4.25%. Right after closing, she rent out the house for $1,800 per month. In addition to mortgage payment and rent revenue, she listed the following information so as to figure out investment return: 1. HOA fee is $75 per month and due at end of each year 2. Property tax and insurance together are 3% of house value 3. She has to pay 10% of rent revenue for an agent who manages her renting regularly 4. Her personal income tax rate is 20%. While rent revenue is taxable, the mortgage interest is tax deductible. She has to make the mortgage amortization table to figure out how much interest she paid each year 5. In last five years, the market value of the house has increased by 4.8% per year 6. If she wants to sell the house today, the total transaction cost will be 5% of selling price Given the above information, please calculate the internal rate of return (IRR) of this investment in house
Can you show the math as far as formulas go?
Answers
Given the following information: Five years ago, someone used her $40,000 saving to make a down payment for a townhouse in RTP. The house is a three-bedroom townhouse and sold for $200,000 when she bought it. After paying down payment, she financed the house by borrowing a 30-year mortgage.
Mortgage interest rate is 4.25%. Right after closing, she rent out the house for $1,800 per month. In addition to mortgage payment and rent revenue, she listed the following information so as to figure out investment return: 1. HOA fee is $75 per month and due at end of each year 2. Property tax and insurance together are 3% of house value 3. She has to pay 10% of rent revenue for an agent who manages her renting regularly 4. Her personal income tax rate is 20%. While rent revenue is taxable, the mortgage interest is tax deductible. She has to make the mortgage amortization table to figure out how much interest she paid each year 5. In the last five years, the market value of the house has increased by 4.8% per year 6.
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Please help me fast I will give point show how u got it please
Answers
Answer:
Perpendicular is opposite and reciprocal
So it's y = 1/3
C
Step-by-step explanation:
Find the volume of a square pyramid if the area of the base is 441 ft2 and the height is 24 ft.? Round to the nearest tenth.
Answers
Answer:
440
Step-by-step explanation: