The probability that exactly 6 of the selected adults believe in reincarnation is 0.055
What is binomial distribution?The binomial distribution is the discrete probability distribution used in probability theory and statistics that only allows for Success or Failure as the possible outcomes of an experiment. For instance, if we flip a coin, there are only two conceivable results: heads or tails, and if we take a test, there are only two possible outcomes: pass or fail. A binomial probability distribution is another name for this distribution.Here, a binomial distribution uses the two parameters n and p. The number of times the experiment is run is indicated by the variable "n," and the probability of each possible outcome is indicated by the variable "p."This will be a binomial distribution with parameters:
n = 7, p = 0.50
Hence,
a) P (Exactly 6)
= ⁷C₆(0.50)⁶ (0.50)¹
= 0.055
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suppose that the population of a city was 92000 in 2010. Then every year after that, the population decreased by 2% due to heavy population.
Create a model for the population of the city, P, in terms of the number of years that have passed since 2010, t:
P = _______
The decrease of the population from the question can be modeled by;
P = 92000e^-0.02t
What is the model of the population?We know that the population of a place can be modeled by the use of an exponential model. In the exponential model, there could be an increase or decrease in the population of a place as the case may be. In this case, we are told that there is a decrease in the population of the place.
Let us note from the question that we have been told that every year after 2010, the population decreased by 2% due to heavy population. We were also made to understand in the question that the initial population of the city is about 92000.
Now, we can write the model as;
P = Poe^-rt
P = population of the area at time t
Po = population initially present
r = rate of population decrease
t = time taken since 2010.
We can now write;
P = 92000e^-0.02t
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find the size of angle x
Answer: 14 is bigger than 8 and x is smaller than 8 so x would be a small number, i bet that x is = to 3 cm
Step-by-step explanation:
I don't know for SURE though :)
You want to buy a new car. You can afford payments of $425 per month and can borrow the money at an interest rate of 4% compounded monthly for 5 years. How much interest do you pay?
He would pay $8500 interest if he can afford payments of $425 per month and can borrow the money at an interest rate of 4% compounded monthly for 5 years.
Define interest.The expense of borrowing money is interest. It equates to a fee or additional charge the borrower pays the lender for the loaned amount, and is sometimes stated as a percentage. When you make a payment on a loan with simple interest, the money first goes toward the interest for that month and the rest is applied to the principal. Simple interest is a way to figure out how much interest will be charged on a sum of money at a specific rate and for a specific duration of time. Contrary to compound interest, where we add the interest of one year's principal to the next year's principal to compute interest, the principal amount under simple interest remains constant.
Given,
Principal = $425
Rate = 4%
Time = 5 years
Interest = Principal × Rate × time
Interest:
= 425 × 4×5
= 8500
He would pay $8500 interest if he can afford payments of $425 per month and can borrow the money at an interest rate of 4% compounded monthly for 5 years.
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1. Structure that houses all the inner parts of the computer
Answer:
The motherboard
Step-by-step explanation:
cardsIt is the base of all chips and
A fraction can easily be written as a percent when the denominator is _________________.
Group of answer choices
100
50
10
20
A fraction can easily be written as a percent when the denominator is 100 , the correct option is (a) .
in the question a fraction is given ,
we need to find , what should be the denominator to express the fraction in percent .
the definition of percent states that one part of every hundred is called as percent ,
So , by the definition of percent we can conclude that A fraction can easily be written as a percent when the denominator is 100 .
For Example : 5% can be written as 5/100 , where the denominator is 100 .
Therefore , A fraction can easily be written as a percent when the denominator is 100 .
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Amit sold 3 shells last week for $5 each
and 2 more shells this week for $5 each.
Show two ways to determine how much
money Amit made in the two weeks.
The two ways to determine how much money Amit made in the two weeks are,
$5(3 + 2) = $25 and $5(3) + $5(2) = $25.
What is shell?
A hard, protective outer layer is typically produced by an animal that lives in the sea and is referred to as a shell, seashell, or simply a shell. The animal's body includes the shell. Beachcombers regularly discover empty seashells washed up on beaches.
Given: Amit sold 3 shells last week for $5 each.
And 2 more shells this week for $5 each.
So, the equation which represent the total money is,
$5(3) + $5(2) = $15 + $10 = $25.
Also we can express this equation as,
$5(3 + 2) = $5(5) = $25
Therefore, the two ways to determine how much money Amit made in the two weeks are,
$5(3 + 2) = $25 and $5(3) + $5(2) = $25
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At how many seconds s will the two bottles have the same amount of water if Jason and Pedro start drinking from each of their bottles at the same time ?
The time at which the two bottles will have the same amount of water, using linear functions, is of:
26 seconds.
What is a linear function?The slope-intercept representation of a linear function is given by the rule shown 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 numeric value of the function when the input x is of zero.For the functions in this problem, we have that:
The slope is the rate of water they drink per second.The intercept is the initial amount of water that they have.Hence the functions are given as follows:
Jason: J(x) = 20 - x.Pedro: P(x) = 65 - 2.5x.The time at which they have the same amount is x for which:
P(x) = J(x)
65 - 2.5x = 20 - x
1.5x = 45
x = 45/1.5
x = 30 seconds.
However, at this time, the amount would be of:
J(30) = 20 - 30 = -10.
Which is a negative amount of water, not possible, hence they would have the same amount when Jason finishes, hence:
65 - 2.5x = 0
2.5x = 65
x = 65/2.5
x = 26 seconds.
Missing InformationThe problem is:
Jason's water bottle has 20 ounces of water, and he is drinking ata rate of 1 ouncer per second. Pedro's water bottle contains 65 bunces of water, and he is drinking at a rate of 2.5 ouncers per second. At how many seconds, s, will the two bottles have the same amount of water if Jason and Pedro start drinking from each of their bottles at the same time?
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Jasmine evaluated the expression 10 - (-3)
and says it is equal to 7. Is she right? If not, what was her mistake?
Jasmine was not right in evaluating the expression. She didn't multiply the subtraction signs.
How to evaluate an expression?An algebraic expression consists of unknown variables, numbers and arithmetic operators.
To evaluate an algebraic expression means to find the value of the expression when the variable is replaced by a given number.
Therefore, let's evaluate Jasmine expression.
10 - (-3)
we have to open the bracket by multiplying the negative signs.
- × - = +
Hence,
10 - (-3) = 10 + 3 = 13
Therefore, Jasmine is wrong. Her mistake was not multiplying the minus sign.
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Please Help It would mean a lot!!
Answer:
30 x n - 60 = 20 x n
1 day
80
Step-by-step explanation:
Find all values of m for which the equation has two real solutions
(m - 3)r² + 9r - 2 = 0
The value of m for equation (m - 3)r² + 9r - 2 = 0 is 57/8.
What is quadratic equation?A quadratic equation is a second-order polynomial equation in a single variable x , ax2+bx+c=0. with a ≠ 0 .
The given equation is (m - 3)r² + 9r - 2 = 0
For the equation to have real and equal roots, the discriminant should be 0.
b²-4ac=0
a=m-3, b=9, c=-2
plug in the values in discriminant
81-4(m-3)(-2)=0
81-4(-2m+6)=0
81+8m-24=0
8m+57=0
m=57/8=7.125
Hence, the value of m for equation (m - 3)r² + 9r - 2 = 0 is 57/8.
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which expression is equivalent to i233?
O 1
O -1
O i
O -i
i is expression is equivalent to i233.
What is mathematical expression?An expression, often known as a mathematical expression, is a finite collection of symbols that are well-formed in accordance with context-dependent principles. Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. In the phrase 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.Given i233
We know that i2 = -1 , if we square (i2) we get (-1)2 = 1
So, if i is multiplied to (i2), we get i3 = (-1).i = -i
Again if i is multiplied to i3 , we get i4 = (-i).i = -i2 = -(-1) = 1
Hence, all even powers of i after 2, will give answer as 1
The sequence will continue as a cycle as i, -1, -i, 1
So, i233 can be rewritten as i232 + 1= i232.i
i233 = (i2)116 .i = (-1)116 . i
Since the power 116 is even , the term becomes 1.i = i
Therefore, i233 = i
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Which two points on the number line are
opposites?
points A and B
points B and C
points C and D
points A and D
The point B and C are opposite to each other.
A number line is a mathematical visual representation of numbers on a straight line. The digits on a number line are positioned sequentially at regular intervals throughout its length. It frequently appears horizontally and might go on forever in any direction.
As seen from the number line, point A is one unit left of -1 which is -2. Since each mark is a difference of 1 and to the left is a negative value, point B is midway between -1 and 0 is half of -1 which is -0.5, point C is midway between 0 and 1 is basically half of 1 which is 0.5 and point D is halfway between 1 and 2 is exactly that 1.5
As per the numerical values of the given points, the two that are opposites to each other are points B and C. They both have a value of 0.5 on each end of the number line, one being negative while the other is positive, thus they are opposites of each other.
Therefore, points B and C are opposite to each other.
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The given question is incomplete. Here is the complete question:
Which two points on the number line are opposites? A number line goes from negative 2 to positive 2 in increments of 1. There are 4 equal spaces between each number. Point A is 1 mark to the left of negative 1. Point B is halfway between negative 1 and 0. Point C is halfway between 0 and 1. Point D is halfway between 1 and 2.
A map has a scale of 1/2 inch
equals 25 miles. How many
miles are 8 inches?
According to the given scale, 400 miles are 8 inches.
Scale
Scale refers the ratio that defines the relation between the actual figure and its model. And it is used in maps to represent the actual figures in smaller units.
Given,
A map has a scale of 1/2 inch equals 25 miles.
Here we need to find how many miles are 8 inches.
Through the given question we know that,
1/2 inches = 25 miles.
Then the 1 inch is equal to,
1 inch = 25 x 2 = 50 miles.
Therefore, the miles equivalent of 8 inches is written as,
=> 8 x 50
=> 400 miles.
Therefore, 8 inches is equal to 400 miles.
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In a race, two cars travel around a circular track. One completes the track in 6 second and the other one in 6.5 seconds. If they leave the starting line together, how long will be before they are both side by side at the starting line again? what is the LCM ?
Answer:
39seconds
Step-by-step explanation:
LCM=6×6.5=39seconds
cual es El promedio de 12,16 y 23
Answer:
17
Step-by-step explanation:
Se suman todos los números y se divide por el número de números.
¡¡¡Espero que esto ayude!!!
(Translated to English: You add all the numbers together and divide by the number of numbers. I hope this helps!!!)
A new car costs $24,250, which is approximately 110% of what a comparable car cost 3 years ago. What did the car cost 3 years ago?
The car's cost 3 years ago was $22,045.45.
According to the question,
We have the following information:
A new car costs $24,250, which is approximately 110% of what a comparable car cost 3 years ago.
Now, let's take the cost of car 3 years to be $x.
So, we have the following expression:
110% of x = 24250
110x/100 = 24250
Using the cross multiplication method:
110x = 24250*100
Dividing both sides by 110 will give us the value of x which is the required cost of car:
x = 2425000/110
x = $22045.45
Hence, the car's cost 3 years ago was $22,045.45.
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What is 1+1x34 divided by 19x987-6961+85629x0?
The solution is 0.0029
How to simplify?Simplify in mathematics is reducing an expression, problem or fraction into a simple form.
Rewrite the the expression in mathematical form we have;
[tex]\frac{1 +1 * 34}{19 * 987 - 6961 + 856209 * 0}[/tex]
Simplify the expression
= [tex]\frac{35}{(19 * 987) - (66961 + (85629 * 0)}[/tex]
Simplify again by subtracting the denominator
=[tex]\frac{35}{18753 - (6961)}[/tex]
= [tex]\frac{35}{11792}[/tex]
= 0.0029 approx..
Therefore, the solution is 0.0029
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Choose the compound inequality that represents each phrase.
All real numbers that are less than –3 or greater than or equal to 5
A. x < –3 or x > 5
B. x < 5 or x > –3
C. x < –3 or x > 5
D. x < –3 or x < 5
Please help !!! Find the measure of the exterior angle, formed by the sculpture and the ground, marked below in red.
Step-by-step explanation:
the inner and the outer angle at a vertex of a triangle are complementary angles or a linear pair of angles.
that means together they have 180°.
180 = inner + outer = 48 + outer
outer = 132°
the exterior angle is 132°.
IXL need finished fast please Help fast !
URGENT!! ILL GIVE
BRAINLIEST!!!! AND 100 POINTS!!!!!
Answer:
Alternate exterior
Congruent
4
Step-by-step explanation:
The given angles are alternate exterior angles and alternate angles has equal measures so they are also congruent which means to find the value of x:
20x = 80 divide both sides 20
x = 4
{(0, −2), (-3, 1), (-4, 3), (1, −4)}
domain and range
Domain of {(0, −2), (-3, 1), (-4, 3), (1, −4)} is (0, -3, -4, 1) and range of
{(0, −2), (-3, 1), (-4, 3), (1, −4)} is (-2, 1, 3, -4).
Define domain and range.The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values. In order to identify the values of the independent variable x and acquire the domain, we simply solve the equation y = f(x). Simply put, x=g(y) will calculate the function's range after we identify g's domain (y).
Given,
{(0, −2), (-3, 1), (-4, 3), (1, −4)}
The set of all x coordinates makes up the domain, while the set of all y coordinates makes up the range.
Domain = (0, -3, -4, 1)
Range = (-2, 1, 3, -4)
Domain of {(0, −2), (-3, 1), (-4, 3), (1, −4)} is (0, -3, -4, 1) and range of
{(0, −2), (-3, 1), (-4, 3), (1, −4)} is (-2, 1, 3, -4).
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Given a cube with volume V, you can use the formula P=4V³ to find
the perimeter of one of the cube's square faces. Find the perimeter of
a face of a cube that has volume 125 m³.
The perimeter of a face of a cube is 60m that has volume 125 m³.
Define volume of cube.The total number of cubic units that a cube occupies in three dimensions is its volume. Six faces, twelve edges, and eight vertices make up the three-dimensional shape of a cube. Therefore, the area encircled by a cube's six faces is considered to equal its volume. The space occupied within an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the object's capacity. The volume of a cube can be calculated by three times multiplying the edge length.
Given,
Volume of cube = side³
Volume = 125 m³
side³ = 125m³
Side = ∛125
Side = 5
Perimeter of cube = 12 × Side
= 12 × 5
= 60
The perimeter of a face of a cube is 60m that has volume 125 m³.
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A photocopier takes 8 seconds to make 20 copies. How long will it take to make 45 copies?
Answer: 18
Step-by-step explanation:
8--20
x--45
x=45*8/20
x=18
*
Hamburger meat is priced at $5.98
for 1.3 pounds of meat. What is the
the price per pound?
Your answer
The price per pound of meat is $4.60.
How to calculate the price of meat?Given that hamburger meat is priced at $5.98 for 1.3 pounds of meat.
It should be noted that to find the cost per pound of meat, we will need to divide the value given.
This will be:
= Cost of meat / Pound of meat
= $5.98 / 1.3
= $4.6
The price is $4.60.
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Two different proportional relationships are represented by the equation and the table.
The rate of change in proportion A is lower than the rate of change in proportion B.
What is a proportional relationship?A proportional relationship is used to illustrate the relationship the variables.
In this case, the proportion A is given as y = 9x.
Proportion B will be:
= 34.5 / 3
= 11.5
This will be illustrated as y = 11.5x
Therefore, it can be seen that B had a higher proportion than A.
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Mindy owns 20 pairs of shoes and every week she purchases two more pairs.And she destroys one. How long will it take for her closet to have 50 pairs of shoes?
Write an equation and solve.
Answer:
y = x + 20
30 weeks
Step-by-step explanation:
The given scenario can be modelled using the linear equation:
[tex]y=mx+b[/tex]
where:
m is the rate of change (slope).b is the initial value (y-intercept.Mindy initially owns 20 pairs of shoes. Therefore, the initial value is b = 20.
If Mindy purchases 2 pairs but destroys 1 pair each week, then she is gaining 1 pair of shoes each week. Therefore, the rate of change is m = 1.
Therefore, the equation is:
[tex]y=x+20[/tex]
where:
x is time in weeks.y is the number of shoes Mindy owns.To find how long it will take for Mindy's closet to have 50 pairs of shoes, substitute y = 50 into the equation and solve for x:
[tex]\implies 50=x+20[/tex]
[tex]\implies 50-20=x+20-20[/tex]
[tex]\implies 30=x[/tex]
[tex]\implies x=30[/tex]
Therefore, it will take Mindy 30 weeks to have 50 pairs of shoes in her closet.
i NEED HELP QUICK AGAIN
Answer: 3 1/3
Step-by-step explanation:
Each tick mark marks 1/3 of a space. A is at - 3 1/3. The absolute value of any number is positive and is just the number of spaces a dot is from zero. You can’t have a negative distance, so the answer is 3 1/3.
hello whats 6.75 ft to inches ..... could use some help
Answer:81
Step-by-step explanation:
cus you need multiply the length value by 12
6.75x12 equal 81
What is the exact solution to the equation 10x=23?
Answer:
x = 2.3
Step-by-step explanation:
you divide both sides of the equation by 10
