Final answer:
To find the probability of having 2, 3, or 4 successes in five trials where the probability of success is 40%, we calculate each scenario's probability using the binomial probability formula and sum them. The total probability is 65.3%, rounded to the nearest tenth of a percent.
Explanation:
To calculate the probability of having 2, 3, or 4 successes in five trials of a binomial experiment where the probability of success is 40%, we use the binomial probability formula:
P(X = k) = C(n, k) * p^k * (1-p)^(n-k)
Where:
P(X = k) is the probability of k successes in n trials
C(n, k) is the combination of n trials taken k at a time
p is the probability of success on an individual trial
(1-p) is the probability of failure on an individual trial
Let's calculate each probability:
P(X = 2) = C(5, 2) * 0.4² * 0.6³
P(X = 3) = C(5, 3) * 0.4³ * 0.6²
P(X = 4) = C(5, 4) * 0.4⁴ * 0.6¹
To find the total probability of having either 2, 3, or 4 successes (P(X = 2 or 3 or 4)), we add up these probabilities:
P(X = 2 or 3 or 4) = P(X = 2) + P(X = 3) + P(X = 4)
Let's use the combination formula to calculate these probabilities:
P(X = 2) = 10 * 0.4² * 0.6³ = 0.2304
P(X = 3) = 10 * 0.4³ * 0.6² = 0.3456
P(X = 4) = 5 * 0.4⁴ * 0.6 = 0.0768
Therefore:
P(X = 2 or 3 or 4) = 0.2304 + 0.3456 + 0.0768 = 0.6528 or 65.3% (rounded to the nearest tenth of a percent)
7x+4x if ×=2 answer
Answer:22
Step-by-step explanation:
Answer:
22
Step-by-step explanation:
7x + 4x
7(2) + 4(2)
14 + 8
Answer= 22
Hope this helped!! :)
What is the equation of the parabola? Vertex is at (0, 5) and points at (8, 13) and (-8, 13)
y = −x2 + 5
y = x2 + 5
y = x2 − 5
y = −x2 − 5
Answer:
none of the above
Step-by-step explanation:
The attached graph shows the closest candidate—the equation with vertex (0, 5) that opens upward. However, it needs vertical scaling to make it go through the given points.
y = (1/8)x^2 +5
Help please (easy) *attachment below*
Answer:
x = 17.
Step-by-step explanation:
We know that the two angles are supplementary (equal 180) as they are found on a straight line. Therefore,
(5x - 18) + (4x + 45) = 180.
9x + 27 = 180.
9x = 153.
x = 17.
Factor completely x3 + 7x2 − 2x − 14.
(x − 7)(x2 − 2)
(x + 7)(x2 + 2)
(x + 7)(x2 − 2)
(x − 7)(x2 + 2)
The factor of the provided polynomial after the factorization process are similar to option C, (x+7)(x²-2)
How to find the factor of polynomial?The factor of a polynomial is the terms in linear or equation form, which are when multiplied together, give the original polynomial equation as result.
Find these factors by taking out the common factors.
The given polynomial equation in the problem is,
x³+7x²-2x -14
The above equation has the unknown variable x and the highest power of this unknown variable is 3.
Take out the highest common factor x², which can divide each term of the first two terms of equation (x³, 7x²). Thus,
x²(x+7)-2x-14
Take out the highest common factor -2 from the second two terms as,
x²(x+7)-2(x+7)
Now take out the common group (x+7) as,
(x+7)(x²-2)
Hence, the factor of the provided polynomial after the factorization process are similar to option C, which is
(x+7) (x²-2)
Learn more about factor of polynomial, refer
https://brainly.com/question/2139777
#SPJ2
Forty-seven percent of fish in a river are catfish. Imagine scooping out a simple random sample of 25 fish from the river and observing the sample proportion of catfish. What is the standard deviation of the sampling distribution? Determine whether the 10% condition is met.
The standard deviation is 0.0998. The 10% condition is not met because there are less than 250 fish in the river.
The standard deviation is 0.0998. The 10% condition is met because it is very likely there are more than 250 fish in the river.
The standard deviation is 0.9002. The 10% condition is met because it is very likely there are more than 250 fish in the river.
The standard deviation is 0.9002. The 10% condition is not met because there are less than 250 fish in the river.
We are unable to determine the standard deviation because we do not know the sample mean. The 10% condition is met because it is very likely there are more than 250 fish in the river.
Answer: The standard deviation is 0.0998. The 10% condition is met because it is very likely there are more than 250 fish in the river.
Step-by-step explanation:
The standard deviation of the sampling distribution = [tex]\sqrt{\dfrac{p(1-p)}{n}}[/tex] , where p= population proportion and n = sample size.
Let p be the proportion of fish in a river are catfish.
As per given , we have
p= 0.47
n= 25
The, the standard deviation of the sampling distribution will be [tex]\sqrt{\dfrac{0.47(1-0.47)}{25}}[/tex]
[tex]=\sqrt{0.009964}\approx0.0998[/tex]
The 10% condition : Sample sizes should be no more than 10% of the population.
But a river can have more than 250 fish [where 10% of 250 =25 (sample size)]
i.e. The 10% condition is met because it is very likely there are more than 250 fish in the river.
So the correct answer is "The standard deviation is 0.0998. The 10% condition is met because it is very likely there are more than 250 fish in the river."
Answer:
The standard deviation is 0.0998. The 10% condition is met because it is very likely there are more than 250 catfish in the river.
Step-by-step explanation:
I got it right on the quiz
Round to the place value of underlined digit
64,999
The reading on a car speedometer has 1.6% maximum error the speed limit on the road is 65 miles per hour
A) the speedometer reads 64 miles per hour is it possible that the cat is going over the speed limit
B) the speedometer reads 64 miles per hour is the car definitely going over the speed limit
Answer:
For A) it is possible that the speed the cat is going over the speed limit
For B) The statement is false as if the error is negative, the speed of the car will be less than the speed limit.
Step-by-step explanation:
Data provided in the question:
Maximum error on a car speedometer = 1.6% = 0.016
Maximum Speed limit on the road = 65 miles per hour
Now,
The error will be ± 1.6%
Now,
When the speedometer reads 64 miles per hour
The possible speed of the car can be
64 miles per hour + Error
= 64 + [0.016 × 64]
= 64 + 1.024
= 65.024 miles per hour
or
The speed can be
64 miles per hour - Error
= 64 - [0.016 × 64]
= 64 - 1.024
= 62.976 miles per hour
Hence,
For A) it is possible that the speed the cat is going over the speed limit
For B) The statement is false as if the error is negative, the speed of the car will be less than the speed limit.
which is the product of 7/9 and 6? answer it
The product of multiplying 7/9 and 6 is 42/9, which can also be expressed as the mixed number 4 and 2/3.
Explanation:Finding the product of two numbers in mathematics is a fundamental concept which involves multiplying the numbers together.
In the specific case of multiplying a fraction by a whole number, like 7/9 and 6, the process is straightforward.
To calculate 7/9 multiplied by 6, you can think of the whole number 6 as a fraction with a denominator of 1, which would make the problem 7/9 x 6/1.
When multiplying fractions, you simply multiply the numerators together and then multiply the denominators together. In this instance, the multiplication would look like (7 x 6) for the numerator and (9 x 1) for the denominator.
That simplifies to 42 over 9, which can be further simplified or left as an improper fraction depending on the context of the problem or the instructor's directions.
In the case of 42/9, which is already simplified, we can conclude that the product of 7/9 and 6 is 42/9, or 4 and 2/3 when written as a mixed number.
2) Solve the System of Equations using Substitution. (5 points) -3x+2y=12 x=2y-8
Answer:
x= -2 and y= 3
Step-by-step explanation:
since x = 2y -8, substitute this in the first equation
Thus, -3(2y-8) + 2y =12
-6y+24+2y=12
-6y+2y=12-24
-4y=-12
y=3
put the value of y in the second equation,
x=2y-8
x=2(3)-8
x=6-8
x=-2
So, x=-2. y=3
Answer:
(x, y) = (-2, 3)
Step-by-step explanation:
You want the solution to the system of equations ...
-3x +2y = 12x = 2y -8SubstitutionUsing the second equation, we can add 8 to get an expression for 2y:
x +8 = 2y
Substituting this into the first equation gives ...
-3x +(x +8) = 12
-2x = 4 . . . . . . . . . simplify, subtract 8
x = -2 . . . . . . . . divide by -2
-2 +8 = 2y . . . . substitute for x in the rearranged equation 2
y = 6/2 = 3 . . . . . . simplify, divide by 2
The solution is (x, y) = (-2, 3).
I need someone to explain this to me. I don’t understand it at all. :(
what equation is equivalent to y=2x+3 ?
Answer:
x+x +1+2= y
Step-by-step explanation:
HURRY
If you try to solve a linear system by the substitution method and get the result 0 = 8, what does this mean?
A. The system has one solution, (0, 8).
B.The system has one solution, (8, 0).
C.The system has no solutions.
D.the system has an infinite number of solutions.
Answer:
C
Step-by-step explanation:
0 = 8 is a false statement which means the system has no solutions
The 0 = 8 shows the system has no solutions.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
we have 0= 8.
First whenever we get 0 = 0 in this case the solution will infinite many solution.
and, if we get the quantities on both side are equal then it have unique solution.
Lastly, if we have non equal quantity on both side of equal like 0= 8 then it does not have any solution.
Hence, 0 = 8 shows the system has no solutions.
Learn more about Equation here:
https://brainly.in/question/54090153
#SPJ3
Use an equation to find the value of k
so that the line that passes through the given points has the given slope.
(−2,k), (2,0); m=−1
k=
[tex]\boxed{k=4}[/tex]
Explanation:We know that the slope of a line is given by:
[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\ \\ Where: \\ \\ (x_{1},y_{1}) \ and \ (x_{2},y_{2}) \ are \ points \ that \ lie \ on \ the \ line \\ \\ \\ Here: \\ \\ (x_{1},y_{1})=(-2,k) \\ \\ (x_{2},y_{2})=(2,0) \\ \\ m=-1 \\ \\ \\ -1=\frac{0-k}{2-(-2)} \\ \\ -1=\frac{-k}{4} \\ \\ -k=4(-1) \\ \\ \boxed{k=4}[/tex]
Learn more:Proportional relationships lines, rates of change, and slope:
https://brainly.com/question/674693
#LearnWithBrainly
Tahmar knows the formula for simple interest is l=prt where I represent the simple interest on an amount of money p for t years at r rate she transforms the equation to isloate p : p using this formula what is the amount of money p that will generate $20 at a 5% interest rate over 5 years
Answer:
$80
Step-by-step explanation:
The formula for p is ...
p = I/(rt)
Filling in the given values, we get ...
p = $20/(0.05·5) = $80
The amount that will generate the desired interest is $80.
7. A person walks at a speed of 1.5 m/s for 35 seconds. How far has the person walked?
Answer:
52.5 meters
Step-by-step explanation:
1.5 times 35 would equal 52.5 meters.
Answer:
52.5 meters
Step-by-step explanation:
1.5 * 35
Lindsay is 555 years younger than Mark. Seven years ago, the sum of their ages was 313131.
Let l be Lindsay's age and let mmm be Mark's age.
Which system of equations represents this situation?
Choose 1 answer:
Answer:
System:
Equation 1: L = M - 5Equation 2: L + M = 45Explanation:
Rewrite the question to delete the typos:
Lindsay is 5 years younger than Mark. Seven years ago, the sum of their ages was 31. Let l be Lindsay's age and let mmm be Mark's age.Which system of equations represents this situation?1. Name your variables:
Lindsay's age: LMark's age: M2. Translate each verbal statement into an algebraic expression:
a) Lindsay is 5 years younger than Mark
L = M - 5 ← first equationb) Seven years ago, the sum of their ages was 31
L - 7 + M - 7 = 31 Simplify:L + M - 14 = 31
L + M = 31 + 14
L + M = 45 ← second equation
3. Write the two equations:
System:
Equation 1: L = M - 5Equation 2: L + M = 45
The system of equations representing Lindsay being 5 years younger than Mark, and the sum of their ages seven years ago being 31, are: I = m - 5 and I + m = 45.
To represent this situation, we can set up the following system of equations:
I = m - 5 (Lindsay is 5 years younger than Mark)(I - 7) + (m - 7) = 31 (Seven years ago, the sum of their ages was 31)Let's simplify the second equation:
I - 7 + m - 7 = 31, simplifies to:
I + m - 14 = 31, then:
I + m = 45
So, the system of equations representing this situation is:
I = m - 5I + m = 454. Calculate the distance Kris walks in 8 days
if she walks 7/8mile each day.
Answer:
I have two ideas on how to solve the question for anyone that befit you you choose I hope it helps
but I prefer the second one.
Kris walks a total of 7 miles over the course of 8 days by multiplying the daily walking distance of 7/8 mile by 8 days.
To calculate the total distance Kris walks in 8 days, where she walks 7/8 mile each day, we need to perform a multiplication of the daily distance by the number of days.
The calculation will be:
7/8 mile/day * 8 days = 7 miles.This is because each 7/8 gets multiplied by 8, effectively cancelling out the denominator of 8, resulting in 7 whole miles.
Therefore, Kris walks a total of 7 miles over the course of 8 days.
NEED HELP ASAP
Simplify each expression. The simplified expression should have no exponents. (I will give you the highest amount of points)
Sorry there is a few questions. I missed a day at school and need to catch up
9)
- 12xy/7x⁴ × 21x⁵y²/4y = - 9x²y²
10)
- 3x⁵/x¹³ × 2x¹⁰y/15y² = -2x²/5y
11)
4xy¹¹/x⁷y⁶ × 6x⁸y/8x³ = 3y⁶/x
12)
y¹⁰/2x³ × 20x¹⁴/xy⁶ = 10x¹⁰y⁴
13)
5x⁻²/3x × 2y³/x¹⁰ = 10y³/3x¹³
14)
(5xy/8x⁻¹y²)² × 26y³/5x²y⁵ =
= 25x⁴/64y² × 26/5x²y²
= 65x²/32y⁴
what is the sum of the distances of R to Q and P to Q?
The sum of the distances of R to Q and P to Q is 9 units.
Solution:
Given points are P(–3, 6), Q(3, 6) and R(3, 3).
Distance between two points formula:
[tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Distance from R to Q:
Here [tex]x_1=3, y_1=3, x_2=3, y_2=6[/tex]
Substitute these in the given formula, we get
Distance = [tex]\sqrt{(3-3)^2+(6-3)^2}[/tex]
[tex]=\sqrt{0+9}[/tex]
= 3 units
Distance from R to Q is 3 units.
Distance from P to Q:
Here [tex]x_1=-3, y_1=6, x_2=3, y_2=6[/tex]
Substitute these in the given formula, we get
Distance = [tex]\sqrt{(3-(-3))^2+(6-6)^2}[/tex]
[tex]=\sqrt{36+0}[/tex]
= 6 units
Distance from P to Q is 6 units.
Sum of the distances = 3 + 6 = 9 units
Hence the sum of the distances of R to Q and P to Q is 9 units.
Which facts could be applied to simplify this expression? Select three options.
(Negative 5 x minus 3 y) minus (negative x minus 3 z)
To subtract like terms, subtract the coefficients, not the variables.
Like terms are terms that contain the same variable, raised to the same power.
The simplified expression is Negative 6 x minus 3 y + 3 z.
The simplified expression is Negative 4 x minus 3 y + 3 z.
Negative (negative x) is equivalent to Negative x, so Negative 5 x minus x = negative 6 x.
Answer:
A, B, and D
Step-by-step explanation:
To subtract like terms, you're supposed to subtract the coefficients, so Option 1 is correct. The statement like terms are terms that contain the same variable, raised to the same power, is true, so Option 2 is correct. The simplified expression is -4 - 3y + 3z, so Option 3 is wrong and Option 4 is correct. Option 5, -(-x) = -x is wrong, so Option 5 is not correct. Therefore, the answers are Options 1, 2, and 4 (or A, B, and D).
Hope this helps! I got it right on Edgen.
Answer:
a b d
Step-by-step explanation:
claudia is 6 years older than bill. the sum of their ages is 120. How old is Claudia
Answer:
The answer is 66
Step-by-step explanation:
plz give brainliest
Answer:
Claudia is 63 years old
Step-by-step explanation:
Find two numbers that subtract to get 6, but add to get 120.
I used 57 and 63. If Claudia is 6 years older than Bill, then she would have to be 63.
57 + 63 = 120
63 - 57 = 6
What is 0.9 divided 30
Answer:0.03
Step-by-step explanation:I typed in a calculator.
Perform all the steps to evaluate this expression.
What is the value of the expression?
1/8
1/2
2
8
Answer:
the answer is 8
Answer:
the answer is 8 because i just did it on E.B
You are trying out for the school play. The probability that you are chosen to
be in the play is 0.5. The probability that you get a lead role is 0.2. What is the
probability that you get a lead role, given that you are chosen to be in the
play?
O A. 0.5
Oo oo
O B. 0.4
O c. o7
O D.0.3
Answer:
0.5 gjhnvbbbvsadasbkkkhhcccf ggghj g
The probability that we will get a lead role, given that we are chosen to be in the play is 0.5.
What is probability?Probability is the ratio that shows the likelihood of an event occurring from a given set of possible events.
We can find the required probability below:
The probability that we will be chosen for the play is 0.5.
The probability that we will get the lead role is 0.2.
In this situation, the probability can be found by adding the probability of being chosen and the probability that we will get the lead role.
The probability that we get a lead role, = The probability that we will be chosen for the play + The probability that we will get the lead role
= 0.5 + 0.2
= 0.7
The probability of us getting a lead role given that we have already been chosen for the play is found to be 0.7. The correct answer is option D.
Learn more about probability here:
brainly.com/question/25870256
#SPJ2
What conjecture can you make about the number of regions created by n unique diameters ?
Answer:
2n
Step-by-step explanation:
Look at the photo below for the details.
:)
Diameter of circle is known as greatest chord of the circle.
Number of regions created by n unique diameter is 2n.
Diameter of circle is two times of its radius.
By 1 diameter, two region is created in circle
By 2 diameter, 4 region is created in circle.
By 3 diameter , 6 region is created in circle.
Therefore, by n unique diameters, 2n regions is created in circle.
Learn more:
https://brainly.com/question/17493796
in equilateral ABC what does y equal
Answer:
y = 75°, and I'm pretty sure this sheet is incorrect
Step-by-step explanation:
The interior angles of a triangle always add up to 180, and in an equilateral triangle, all 3 angles are congruent. (180/3 = 60)
[tex]m\angle A= 60\textdegree= 6x[/tex]
Therefore, [tex]x=10\textdegree[/tex]
[tex]\triangle DAE[/tex] is an isosceles triangle, as [tex]\angle B[/tex] [tex]\cong[/tex] [tex]\angle C[/tex], the sides opposite to them are also congruent; [tex]\overline{\rm AE}\cong\overline{\rm AD}[/tex] and in turn, [tex]m\angle ADE \cong m\angle AED: m\angle ADE = m\angle AED = y[/tex]
If [tex]m\angle DAE = 3x = 30\textdegree[/tex], then [tex]y = (180-30)/2 =150 /2 = 75\textdegree[/tex]
Given that the Probability of a chance event is a number between zero and one that expresses the likelihood of the event occurring, choose all that are correct.
•0 indicates a certain event
•0.25 indicates an unlikely event
•0.75 indicates a likely event
•1 indicates an impossible event
•0.5 indicates equally likely to occur or not occur.
Please help if you can, thank you! ✨
Answer:
The correct statements are:
• Second statement: 0.25 indicates an unlikely event
• Third statement: 0.75 indicates a likely event
• Last statement: 0.5 indicates equally likely to occur or not occur.
Explanation:
Since the probability of a chance event is a number between 0 and 1 that expresses the likelihood of the event occurring, you can translate it into:
A zero probability (0) means that the event is impossible, it will never happen. For example, the probability that when you roll a 6-sided die (with numbers 1 to 6) you get an irrational number is 0, meaning that it will never occur.A one probability (1) means that the event will occur with certainty. For instance, the changes to roll an even or odd number when you roll a 6-sided die is 100%You migth split the likelihood in some notorius outcomes:
0: impossible (the event will never happen)Close to zero (about 0 - 0.3): unlikely (the chances are small)0.5: even (equal chances of happening and not happening)Close to 1 (about 0.7 - 1): likely (the changes are large)1: certain (it is 100% sure that the event will happen)That means that:
first statement, 0 indicates a certain event, is incorrect.0.25 indicates an unlikely event (second statement is correct)0.75 indicates a likely event (third statement is correct)third statement is incorrect (1 does not indicate an impossible event, but a certain event)0.5 indicates equally likely to occur or not occur (fith statement is correct).The correct statements are:
0.25 indicates an unlikely event0.75 indicates a likely event0.5 indicates equally likely to occur or not occur.What are the correct statements?Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.
If probability is 0.5, there are equal chances that the event might occur or would not occur. If probability is less than 0,5, it is unlikely the even t would occur and if it is greater than 0.5, it is likely the event would occur.
To learn more about probability, please check: https://brainly.com/question/13234031
#SPJ5
Which are perfect cubes?
8
21
27
125
126
1,000
1,331
1,332
HELP ASAP ):
Answer:
8 ; 27 ; 125 ; 1000 ; 1331
Step-by-step explanation:
8 = 2³
27 = 3³
125 = 5³
1000 = 10³
1331 = 11³
Answer:
8, 27, 125, 1000, 1331.
Step-by-step explanation:
2^3 = 8
3^3 = 27
5^3 = 125
10^3 = 1000
11^3 = 1331
Simplify the expression 3^-8 × 3^4.
Answer:
Step-by-step explanation:
3^-8 × 3^4
Following the indices rule
a^y × a^z = a^(y+z)
:- = 3^(-8+4)
= 3^-4
= 1/3⁴
= 1/81
Is 65% greater than 5/8
Answer:
Yes it is. 65 as a decimal is .65, 5/8 is .625, so 65% is greater
Step-by-step explanation:
the answer to your question is yes