a) The probability that exactly one person goes online to get news is approximately 0.3563.
b) The probability that three or fewer people go online to get news is approximately 0.7769.
c) The probability that fewer than three people go online to get news is approximately 0.5977.
d) In samples of 5 people, the mean number who go online to get news is 2.3.
How to calculate the probabilitya) Probability of exactly one person going online to get news:
P(X = 1) = (5 choose 1) * (0.46) * (1 - 0.46)⁴
P(X = 1) = 5 * 0.46 * 0.54⁴
P(X = 1) ≈ 0.3563
b) Probability of three or fewer people going online to get news:
P(X ≤ 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)
P(X ≤ 3) = (5 choose 0) * (0.46)^0 * (1 - 0.46)^(5 - 0) +
(5 choose 1) * (0.46) × (1 - 0.46)⁴ +
(5 choose 2) * (0.46)² * (1 - 0.46)³ +
(5 choose 3) * (0.46)³ * (1 - 0.46)²
P(X ≤ 3) ≈ 0.7769
c) Probability of fewer than three people going online to get news:
P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)
P(X < 3) ≈ 0.5977
d) Mean number of people who go online to get news in samples of 5:
The mean (or expected value) of a binomial distribution is given by the formula: μ = n * p
μ = 5 * 0.46
μ = 2.3
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HELP !!! find the surface area of each figure. Round it to the nearest tenth.
Answer:
556
Step-by-step explanation:
Surface area=2*(lb+bh+lh)=2*(110+80+88)=556
Hamburger meat is $2.19 per pound. A box of spaghetti noodles is $0.79.
Chris is going to purchase four pounds of hamburger meat and three boxes of spaghetti noodles. Write an expression that you could use to determine the amount of money Chris will spend.
Answer:
(2.19 x 4) + (0.79 x 3)
Step-by-step explanation:
ok so u hv to take 2.19 and multiply it by four. Then take 0.79 and multiply it by three.
Answer:
9.55
Step-by-step explanation:
let x be the number of heads in three tosses of a fair coin. what is the probability that x is greater than or equal to 1?
The probability that x is greater than or equal to 1 is 0.875 or 87.5%
To find the probability that x, the number of heads in three tosses of a fair coin, is greater than or equal to 1, we can use the following steps:
1. Determine the total possible outcomes: There are 2 outcomes for each coin toss (heads or tails), so for 3 tosses, there are 2^3 = 8 possible outcomes.
2. Count the outcomes where x is greater than or equal to 1: We have 7 favorable outcomes (HHH, HHT, HTH, THH, HTT, THT, and TTH). The only outcome not included is TTT (no heads).
3. Calculate the probability: Divide the number of favorable outcomes by the total possible outcomes.
Probability(x ≥ 1) = (favorable outcomes) / (total possible outcomes) = 7 / 8 = 0.875
So, the probability that x is greater than or equal to 1 is 0.875 or 87.5%.
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0. 00147 in standard form
Answer:
Answer: It can be written as 1.47x10-³
Step-by-step explanation:
0.00147 = 1.47
1.47 = 1.47 x 10 -^3
A triangle is translated by using the rule (x,y) (x-4,y+2) which describes how the figure is moved ?
Answer:
4 units to the left and 2 units up.
Step-by-step explanation:
Find a value of өin the interval [0°, 90°) in decimal degrees if sin ө=. 27843196
In the interval [0°, 90°), if sin θ = 0.27843196, the value of θ in decimal degrees is approximately 16.9505 degrees.
To find the value of θ in the given interval [0°, 90°), we need to determine the angle whose sine is equal to 0.27843196. We can use the inverse sine function, also known as arcsine \((sin^(-1) or asin),\) to find this angle.
Using a scientific calculator or trigonometric tables, we can find the inverse sine of 0.27843196. The inverse sine function will give us the angle whose sine is equal to the given value. In this case, the inverse sine of 0.27843196 is approximately 16.9505 degrees.
However, it is important to note that this value needs to be verified to ensure that it falls within the given interval [0°, 90°). Since the obtained angle of 16.9505 degrees is less than 90° and greater than or equal to 0°, it satisfies the condition of being in the interval [0°, 90°).
Therefore, the value of θ in the interval [0°, 90°) that satisfies sin θ = 0.27843196 is approximately 16.9505 degrees in decimal degrees. This means that there is an angle within the specified interval whose sine is approximately 0.27843196.
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Find the volume of a pyramid with a square base, where the area of the base is 14.4 ft? and the height of the pyramid is 9.6 ft. Round your answer to the nearest tenth of a cubic foot.
Answer:
Probability
Step-by-step explanation:
The pyramid has a volume of roughly 46.1 cubic feet.
What is volume?Volume, which is measured in cubic units, is the 3-dimensional space occupied by matter or encircled by a surface. The cubic meter (m³), a derived unit, is the SI unit of volume. Volume is another word for capacity.
The formula for the volume of a pyramid is:
V = (1/3) * base area * height
We are given the base area as 14.4 ft² and the height as 9.6 ft. Substituting these values in the formula, we get:
V = (1/3) * 14.4 ft² * 9.6 ft
V = 46.08 ft³
Rounding to the nearest tenth of a cubic foot, we get:
V ≈ 46.1 ft³
Therefore, the volume of the pyramid is approximately 46.1 cubic feet.
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Cameron collects old books, and they convinced their friend Kenji to start collecting as well. Every month, they go to the store together, and they each buy a book. This table shows how many books they each have: Month 1 11 2 22 3 33 4 44 Kenji 1 11 2 22 3 33 4 44 Cameron 12 1212 13 1313 14 1414 15 1515 They both want an equation they can use to find how many books Cameron will have ( � cc) when Kenji has � kk books. Complete their equation. � = c=c, equals
The linear equation that describe the relationship between the book collection by Cameron, c and Kenji, c each month is represented as c = k - 11.
Linear equations are defined as the equations of degree one. It is represents equation for the straight line. The standard form of linear equation is written as, ax + by + c = 0, where a ≠ 0 and b ≠ 0. We have specify that Cameron collects and his friend Kenji start collecting the old books. The above table figure which contains data of books collected by both in different months. We have to determine the equation many books Cameron will have (c) when Kenji has k books. Let c and k denotes the books collected by Cameron and Kenji respectively. We see there is always increase in old book collection by one in case of both of them (Cameron and Kenji) each month. So, there exits a linear equation. Also, from the table, the Kenji's book collection is always 11 units less from Cameron's book collection. So, the required equation is written by c = k - 11 for each month. Hence, the required equation is equal to c = k - 11.
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Complete question:
The above figure complete the question.
Cameron collects old books, and they convinced their friend Kenji to start collecting as well. Every month, they go to the store together, and they each buy a book. This table shows how many books they each have: They both want an equation they can use to find how many books Cameron will have (c) when Kenji has k books. Complete their equation.
Answer:
c=k+11
Step-by-step explanation:
HELP ME ASAP!!! PLS!!
The Chu family can hike 3 miles per hour. How long will it take them to hike 15 miles?
A- 3.75 hours
B- 4 hours
C- 4.5 hours
D- 5 hours
Answer:
D- 5hrs
Step-by-step explanation:
If the family can hike 3 miles per hour,
for 15 miles: 15/3 = 5 hours.
Every hour they cover 3 miles per hour, so to cover 15 miles, they will take 5 hours
Answer:
D. 5 hours
Step-by-step explanation:
3 miles per 1 hour so 3/1
15 miles per x hours so 15/x
3/1 = 15/x or 3 = 15/x
get x by itself so
3 divided by 3 and 15 divided by 3
x = 5 hours
Can anyone please answer this question, Ill give points.
Answer:
(0,1) and (-10.-4)
Step-by-step explanation:
To find the solutions, find the points where both the curve and line intersect and read off the coordinates
What is the green dashed line called?
Answer:
axis of symetry
Step-by-step explanation:
Beast_Building on yt
Find the value of
x in the equation below.
36=4x
Answer:
4x(÷4)=36(÷4)
x=9
I hope I help you in this ans and tq.
Answer: 9
Step-by-step explanation: Because the problem is 36=4x the X next to the 4 means to multiply BUT since we don't no the answer there are many ways to solve this one way is to find what you can multiply for with or you can divide 36 and 4.
Hope fully that helps!!!
An argument in which the reasons support the conclusion so that the conclusion follows from the reasons offered is called.
An argument in which the reasons support the conclusion so that the conclusion follows from the reasons offered is called a valid argument.
In logic and critical thinking, an argument consists of two main components, premises and a conclusion.
The premises are statements or reasons put forth as evidence or support for the conclusion.
The conclusion is the statement that is being asserted or inferred based on the premises.
A valid argument is one in which the logical relationship between the premises and the conclusion is such that if the premises are true.
Then the conclusion must also be true.
In other words, the conclusion logically follows from the premises.
When an argument is valid, it means that the truth or validity of the premises guarantees the truth or validity of the conclusion.
It does not necessarily mean that the premises are true in reality, but rather that if they were true, the conclusion would be true as well.
Here is an example to illustrate a valid argument,
Premise 1
All mammals are warm-blooded animals.
Premise 2
Dogs are mammals.
Conclusion,
Therefore, dogs are warm-blooded animals.
In this example, if we assume that the premises are true, the conclusion logically follows.
The truth of Premise 1 establishes that all mammals are warm-blooded, and Premise 2 identifies dogs as mammals.
This implies, the conclusion that dogs are warm-blooded animals logically follows from the given premises.
A valid argument can still have false premises or a false conclusion.
The validity of an argument simply relates to the logical relationship between the premises and the conclusion.
Rather than the truth or accuracy of the statements themselves.
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Help!!
Solve for v.
14v - 10 = 14v
Answer:
sln
14v-10=14v
14v-14v=10
the Value of v don't get because when 14v-14v is equal to zero
3 letters are typed, without repetition. what is the probability that all 3 will be vowels? write your answer as a percent. round your answer to three decimal places.
The probability of typing three letters without repetition and all three being vowels is approximately 6.667%.
To calculate the probability, we need to determine the total number of possible three-letter combinations without repetition and the number of combinations where all three letters are vowels.
The total number of possible three-letter combinations without repetition:
Since there are no repetitions allowed, we have 26 choices for the first letter (26 alphabets), 25 choices for the second letter (excluding the first letter), and 24 choices for the third letter (excluding the first and second letters). Therefore, the total number of possible combinations is 26 x 25 x 24 = 15,600.
The number of combinations where all three letters are vowels:
Out of the 26 alphabets, there are 5 vowels (a, e, i, o, u). So, we have 5 choices for each of the three letters. Therefore, the number of combinations where all three letters are vowels is 5 x 5 x 5 = 125.
Calculating the probability:
The probability is given by the number of favorable outcomes (combinations where all three letters are vowels) divided by the total number of possible outcomes (all three-letter combinations without repetition).
Probability = (Number of combinations where all three letters are vowels) / (Total number of possible combinations)
Probability = 125 / 15,600 ≈ 0.008
Converting to a percentage and rounding to three decimal places, the probability is approximately 0.800%.
Therefore, the probability of typing three letters without repetition and all three being vowels is approximately 6.667%.
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The volume of the milk produced in a single milking session by a certain breed of cow is
Normally distributed with mean 2.3 gallons with a standard deviation of 0.96 gallons.
Part A Calculate the probability that a randomly selected cow produces between 2.0
gallons and 2.5 gallons in a single milking session. (4 points)
Part B A small dairy farm has 20 of these types of cows. Calculate the probability that the total volume for one milking session for these 20 cows exceeds 50 gallons. (8 points)
Part C Did you need to know that the population distribution of milk volumes per
milking session was Normal in order to complete Parts A or B? Justify your answer.
Part A: the probability that a cow produces between 2.0 and 2.5 gallons is approximately 0.6826.
Part B: To calculate the probability that the total volume for one milking session for 20 cows exceeds 50 gallons, we need additional information about the correlation or independence of the milk volumes of the 20 cows.
Part A: To calculate the probability that a randomly selected cow produces between 2.0 and 2.5 gallons in a single milking session, we can use the normal distribution. We calculate the z-scores for the lower and upper bounds and then find the area under the curve between these z-scores. Using the mean of 2.3 gallons and standard deviation of 0.96 gallons, we can calculate the z-scores as (2.0 - 2.3) / 0.96 = -0.3125 and (2.5 - 2.3) / 0.96 = 0.2083, respectively. By looking up these z-scores in the standard normal distribution table or using a calculator, we can find the corresponding probabilities.
Part B: To calculate the probability that the total volume for one milking session for 20 cows exceeds 50 gallons, we need to consider the distribution of the sum of 20 independent normally distributed random variables. We can use the properties of the normal distribution to find the mean and standard deviation of the sum of these variables and then calculate the probability using the normal distribution.
Part C: Yes, we needed to know that the population distribution of milk volumes per milking session was normal in order to complete Parts A and B. The calculations in both parts rely on the assumption of a normal distribution to determine the probabilities. If the distribution were not normal, different methods or assumptions would be required to calculate the probabilities accurately.
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what was the water level at 0 minutes when Henry began to fill the tank?
Answer:
9
I hope this helps and have a good day
1. A concert venue has 20 seats in the first row and an 5 additional seats in each successive row. If there are 35 rows of seats then how many people can attend a sold-out show?
A. 7,350 people
B. 2,100 people
C. 3,675 people
D. 190 people
7,350 people can attend a sold-out show at the concert venue with 20 seats in the first row and 5 additional seats in each successive row with a total of 35 rows of seats.
The formula for calculating the total number of seats in a concert venue with 20 seats in the first row and 5 additional seats in each successive row is: (20 + (35-1)*5) x 35.
To solve for the number of people that can attend a sold-out show: (20 + (35-1)*5) x 35 = 7,350.
7,350 people can attend a sold-out show at the concert venue with 20 seats in the first row and 5 additional seats in each successive row with a total of 35 rows of seats.
Therefore, 7,350 people can attend a sold-out show at the concert venue with 20 seats in the first row and 5 additional seats in each successive row with a total of 35 rows of seats.
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An aeroplane flie 2695km in 3hr 30minute how long will take to fly a ditance of 6160km at the ame peed
The airplane that flies 2695km in 3hr 30minute will take 8 hr to fly a distance of 6160km
What is velocity?It is a physical quantity that indicates the displacement of a mobile per unit of time, it is expressed in units of distance per time, for example (miles/h, km/h).
The formula and procedure we will use to solve this problem is:
v= x/t
Where:
x = distancet = timev = velocityInformation about the problem:
x = 2695 kmt = 3 hr and 30 minx2 = 6160 kmt2 = ?Converting the time from minutes to hours we have:
30 min * (1 hr / 60 min) = 0.5 hr
t = 3 hr + 0.5 hr = 3.5 hr
Applying the velocity formula we get:
v = x/t
v = 2695 km / 3.5 hr
v = 770 km/ hr
Applying the velocity and isolating the time we have:
t2 = x2/v
t2 = 6160 km / 770 km/ hr
t2 = 8 hr
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Probability of obtaining heads in a specific coin flip is a random variable, A. B is a random variable that takes value of 1, if the coin toss results in a head, and 0 if coin toss results in a tail. a. Find the mean and variance of B. f₁(a) = {² b. Find the correlation coefficient of A and B. (2 0.5
a. The mean of the random variable B is the expected value of B, which is equal to the probability of obtaining a head, denoted by P(A). Therefore, the mean of B is P(A).
The variance of B, denoted by Var(B), can be calculated using the formula Var(B) = P(A)(1 - P(A)). Since B takes on values of either 0 or 1, P(A) represents the probability of obtaining a head. Therefore, the variance of B is P(A)(1 - P(A)).
b. The correlation coefficient measures the strength and direction of the linear relationship between two random variables. In this case, we have the random variables A (representing the probability of obtaining heads) and B (taking the value 1 if a head is obtained, and 0 otherwise).
The given correlation coefficient, 0.5, implies a positive linear relationship between A and B. A value of 0.5 indicates a moderate positive correlation between the two variables. This means that as the probability of obtaining heads (A) increases, the likelihood of B being 1 also increases, and vice versa. The correlation coefficient provides a measure of the strength and direction of this relationship between A and B.
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Jess used
11 1/2 cups of flour to make 3 1 / 2
batches of oatmeal cookies. One batch makes 24 cookies.
If Jess follows the same recipe, about how many cookies can she make with 16 1/2 cups of flour ?
A- 30
B- 120
C-200
D-380
Answer:
Step-by-step explanation:
C
jenica has a total of $3.40 in nickels and quarters if she has 20 coins, how many nickels and how many quarters?
There are 8 Nickels and 12 Quarters.
Now, According to the question:
Let's know:
What are Decimals?
In Algebra, decimals are one of the types of numbers, which has a whole number and the fractional part separated by a decimal point. The dot present between the whole number and fractions part is called the decimal point. For example, 34.5 is a decimal number.
Here, 34 is a whole number part and 5 is the fractional part.
Jennica has a total of $3.40 in nickels
and, she has 20 coins
For easier calculation, Take the decimals out.
N+Q=20
Q=20-N
5N+25(20-N)=340
5N+500-25N=340
-20N=-160
-20N/-20=-160/-20
N=8
8+Q=20
Q = 12
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what does it mean translate the figure 5 units up
By definition. a Translation is a transformation in which a figure is moved a fixed distance in a fixed direction.
The Image is the figure obtained after the transformation and the Pre-Image is the original figure.
In this case, you know that the figure shown in the picture must be translated 5 units up. Therefore, the rule for this transformation is:
\((x,y)\rightarrow(x,y+5)\)You can identify that the marked point on the Pre-Image has the following coordinates:
\(\mleft(-4,-3\mright)\)Therefore, applying the rule for this transformation, you get that the coordinates of the marked point in the final figure, are:
\(\mleft(-4,-3\mright)\rightarrow\mleft(-4,-3+5\mright)\rightarrow(-4,2)\)The answer is:
Coordinates of the marked point in the original figure:
\((-4,-3)\)Coordinates of the marked point in the final figure:
\(\mleft(-4,2\mright)\)James works on his history work for 9/10 of an hour. He works on English for 3/10 of an hour.
How much longer does James work on history than on English?
Answer:
3 times more.
Step-by-step explanation:
\( \frac{9}{10} \div \frac{3}{10} = \frac{9}{10} \times \frac{10}{3} = 3 \)
multiply 3x3yand 4x3
Here,
Answer:
21
Step-by-step explanation:
What is the measure of m?
n
m
28
7
m = [? ] V
Give your answer in simplest form.
when running a line, in a right-triangle, from the 90° angle perpendicular to its opposite side, we will end up with three similar triangles, one Small, one Medium and a containing Large one. Check the picture below.
\(\cfrac{35}{m}=\cfrac{m}{7}\implies 245=m^2\implies \sqrt{245}=m\implies \sqrt{7^2\cdot 5}=m\implies 7\sqrt{5}=m\)
How to I find the x and y values for number 11 and 12
Answer:
11. x and y equal 35
12 - x = 64 and y=116
Step-by-step explanation:
For #11 they give you an angle (110) and they tell you that the two sides are congruent. If the two sides are congruent then the opposite angles are congruent. so x and the other missing angle are congruent. If a triangles sides add up to 180 we have to subtract 110 from 180 and divide that by 2
180-110=70
70/2 so x and the other missing angle equal 35
now to find y, well the angle equal to 35 and y are vertical angles so they are congruent with each other so x and y equal 35
For #12 they give you an angle (52) and tell you that two sides are congruent, meaning the opposite angles are also congruent. So for this one we do the same thing subtract 52 from 180 and divide that by 2
180-52=128
128/2=64 so y and the other missing angle in the triangle equal 64
to find x we look at y and see that they are supplementary angles so they will add up to 180 so to find x we subtract 64 from 180
180-64=116
so x = 64 and y=116
have a great day :D
Answer:
X And Y Equal To 110
Step-by-step explanation:
Hope It Helps U
f the pattern in the table is extended to represent more equivalent ratios for 2:6, which pair of numbers would be in the columns? A multiplication table. In the column labeled 2, the numbers 2, 4, 6, 8, 10, 12, 14, 16, and 18 are highlighted. In the column labeled 6, the numbers 6, 12, 18, 24, 30, 36, 42, 48, and 54 are highlighted. 20 would be in the column for 2, and 60 would be in the column for 6. 20 would be in the column for 6, and 60 would be in the column for 2. 20 would be in the column for 2, and 56 would be in the column for 6. 20 would be in the column for 6, and 56 would be in the column for 2. please hurry im in a rush
The pair of numbers that would be in the columns, considering the proportional relationship, is given as follows:
20 would be in the column for 2, and 60 would be in the column for 6.
What is a proportional relationship?A proportional relationship is a special linear function, with intercept having a value of zero, in which the output variable is obtained with the multiplication of the input variable and the constant of proportionality k, as shown as follows:
y = kx
The table is extended to represent more equivalent ratios for 2:6, hence the constant of the relationship is given as follows:
k = 6/2 = 3.
Hence the equation is:
y = 3x.
The values given by each column are given as follows:
Column 2: values of x.Column 6: values of y.When x = 20, the numeric value of the relationship is of:
y = 3 x 20 = 60.
Hence the first option is correct.
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John bought a 4-year certificate of deposit for $9.800 that has an interest rate of 3.255 % compounding monthly
How much interest will he earn after the 4 years?
Answer:
hi
Step-by-step explanation:
want to start a conversation
to find the height of an apple tree in her yard, susan held a clipboard near her eye so that the top of the tree was viewed along one edge of the book and base of th etree was viewed along the adjacent edge.. if her height of eye is 4.5 feet and she is standing 15 feet fromt he tree, how tall is the tree?
The height of the apple tree in Susan's yard is 9 feet.
To find the height of the apple tree in Susan's yard, we can use similar triangles.
Step 1: Identify the two similar triangles.
Triangle 1 is formed by Susan's eye height (4.5 feet), the ground, and her distance from the tree (15 feet). Triangle 2 is formed by the tree's height, the ground, and the same 15 feet distance.
Step 2: Set up the proportion.
Let 'h' be the height of the tree. The proportion can be written as:
(height of eye) / (distance from tree) = (tree height) / (distance from tree)
4.5 / 15 = h / 15
Step 3: Solve for 'h'.
Cross-multiply the proportion to solve for 'h':
4.5 × 15 = h × 15
67.5 = h × 15
Divide both sides by 15:
h = 67.5 / 15
h = 4.5
Step 4: Add Susan's eye height to find the total height of the tree.
Total tree height = height of eye + height of tree above eye level
Total tree height = 4.5 + 4.5
Total tree height = 9 feet
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