Answer:
Mean = 2
Standard deviation = 1.356
Step-by-step explanation:
We are given;
Probability of taxpayers that make mistakes when filling out forms: p = 0.08
Sample size; n = 25
In binomial distribution;
Means is;
μ = np
Thus;
μ = 25 × 0.08
μ = 2
Formula for standard deviation here is;
σ = √(np(1 - p))
σ = √(25 × 0.08(1 - 0.08))
σ = 1.356
The required mean is 2 and standard deviation is 1.356 of the number of forms with mistakes she should expect to find.
Given that,
The Internal Revenue Service estimates that 8% of all taxpayers filling out forms make mistakes.
An IRS employee announces at lunch one day that she is going to check 25 randomly selected forms after lunch.
We have to determine,
The mean and standard deviation of the number of forms with mistakes she should expect to find.
According to the question,
Probability of taxpayers that make mistakes when filling out forms: p = 8%= 0.08
And sample size; n = 25
Therefore,
In binomial distribution mean is determine by the formula,
[tex]\mu = np\\\\\mu = 25 \times 0.08\\\\\mu = 2[/tex]
The mean of the number of forms with mistake she should expect to find is 2.
And, Standard deviation is determined by the formula,
[tex]\sigma = \sqrt{np(1-p)}\\\\\sigma = \sqrt{25\times 0.08 (1-0.08)}\\\\\sigma = \sqrt{2\times0.92}\\\\\sigma =\sqrt{ 1.84}\\\\\sigma = 1.356[/tex]
The standard deviation of the number of forms with mistake she should expect to find is 1.356.
Hence, The required mean is 2 and standard deviation is 1.356 of the number of forms with mistakes she should expect to find.
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The ratio of girls to boys is ms. Harrington's class is 5:7. If there are 60 students in all of her classes then how many are girls?
Answer:
25
Step-by-step explanation: Because if you add 5+7=12 60/12=5 5*5=25 so thats your awnser
Matsuki is very very bored...
34 + 35 x (60/2) - (40/2) = ?
I believe the answer is 1064.
P.s. your cute matsuki <3
Please help ASAP simplify the expression given below
Answer:
The correct answer is B.)
Step-by-step explanation:
How many questions was the test? Was it 34 or 44?
The expression (x² + 3) / (x-3)(x-1) is the simplified form of the given expression. which is the correct answer would be an option (B).
What is the expression?Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.
The expression is given below as:
(x-3)/(x-1) + 6/(x-3)
To simplify the expression, we can first combine the terms that have a common denominator:
(x-3)²+ 6(x-1) / (x-3)(x-1)
We can simplify the expression further by using the fact that
(x² + 9 - 6x + 6x - 6) / (x-3)(x-1)
Combine the likewise terms and apply the arithmetic operation,
(x² + 3) / (x-3)(x-1)
Thus, the simplified expression is:
(x² + 3) / (x-3)(x-1)
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fine! many grams did she use
Answer:
72 Grams
Step-by-step explanation:
You do 288/24 and then you would get 12 and then you would do 6 * 12 and get 72 (12 cups of tea.. darn)
The graph of g is the graph of translated horizontally 5 units to the right. If f(x) = 3x + 2 , what is the equation of the function g?
Answer:
f(x) = 3(x-5) + 2
Step-by-step explanation:
The x coordinates are all shifted to the right, which is the positive direction. Subtracting 5 from the x coordinate is a horizontal right shift.
i need help with this i’m really confused
Answer:
40) 105 miles (mi)
42) 3.2 centimeters (cm)
Step-by-step explanation:
First determine which part of the ratio corresponds to what. Once you have figured that out, divide by the part of the ratio that corresponds to your given part and then multiply that by the other part of the ratio to derive the quantity.
If a:b
Then a × a/b = b, and b × a/b = a.
You can think of : as "to".
For example, you are given a map with a scale ratio of 1 in : 20 mi, this means that for every inch of the map, there is an actual distance of 20 miles.
So in this situation, the left part of the ratio is the length of the map in inches, and the right part of the ratio is the real distance in miles. For x inches of the map, there is 20 x miles of actual distance. Therefore 3.5 inches has an actual distance of 3.5 × 20 miles or 105 miles of actual distance.
For problem 2, you are given a ratio of 1 m : 2 cm, this means that for every 1 meter of the drawing, there is 2 cm of the plant. Therefore if you have 1.6 meter of the map, then you have 1.6 × 2 cm of the plant or 3.2 cm. For both situations the left part of the ratio is 1 which means that you just multiply by the right part of the ratio by which you are given.
8. Write a multiplication expression
that you can use to find
Answer:
random equation 8x5
Step-by-step explanation:
I really dont understand
Answer:
You didn't quite finish the question. Please explain the question or else you will be marked by Brainly for giving out the wrong information.
- Thank You,
Brainly HGF Bot
1. 100= 125x^2 find x using logarithms
Answer:
Step-by-step explanation:
Answer:
x =2√55,−2√55
Decimal Form: x=0.89442719…,−0.89442719…
Step-by-step explanation:
what is 0.0452 rounded to (in money)
Answer:
0.05
Step-by-step explanation:
2 does not move 5 up, but 5 moves 4 up to 5, thus making it 0.05.
What are the values of x and y?
Answer:
Is there supposed to be a picture?
Answer:
I need to see the equation not the question only so if you could show me the equation in a screenshot it would help me better understand what the question is and I might be able to answer ur question.
Step-by-step explanation:
please help me with this
Answer and Step-by-step explanation:
1/2x is positive and 2 is negative, so they cross each other perpendicularly, and the equation needs to be at -13 y, 0 x
The answer is y = -2x - 13
#teamtrees #WAP (Water And Plant)
simplify (3s^8)^-5 write your answer using only positive exponents. help please!!
Answer:
1 / ( 243s^40 )
Step-by-step explanation:
For this problem, we need to know that a negative exponent simply can be rewritten in the opposing part of the fraction, for this case, the denominator. So we can simplify as shown:
(3s^8)^-5
= 1 / (3s^8)^5
= 1 / 3^5 * s^8^5
= 1 / 243 * s^40
= 1 / ( 243s^40 )
Cheers.
The expression [tex]\left (3s^8 \right )^{-5}[/tex] is simplified as equal to [tex]\boldsymbol{3s^{-40}}[/tex]
Define exponent.The amount of times an integer is multiplied on its own is referred to as an exponent.
Given expression is [tex]\boldsymbol{\left (3s^8 \right )^{-5}}[/tex]
Use the formula: [tex]\boldsymbol{\left ( a^m \right )^n=a^{mn}}[/tex] to simplify the expression.
[tex]\left (3s^8 \right )^{-5}=3s^{8\times (-5)}[/tex]
[tex]=\boldsymbol{3s^{-40}}[/tex]
So, the expression is simplified as equal to [tex]\boldsymbol{3s^{-40}}[/tex]
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(12x - 30) = (2x - 5)
Answer:
x = 5/2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Equality PropertiesStep-by-step explanation:
Step 1: Define
12x - 30 = 2x - 5
Step 2: Solve for x
Subtract 2x on both sides: 10x - 30 = -5Add 30 to both sides: 10x = 25Divide 10 on both sides: x = 5/2Find the 13th term of the geometric sequence 1,−2,4
Answer:
4096Step-by-step explanation:
Given
Geometric sequence 1,−2,4First term = 1Common difference = -213th term is:
1*(-2)^12 = 4096Tia and Tom are making cupcakes. They need 3/4 a cup of flour and 1/3 cup of butter per batch. If they have 4 1/4 cups of flour and 1 1/2 cups of butter, how many batches can they make?
Answer:
5
Step-by-step explanation:
HELP MEEEEEE PLEASEEEEEEEEEEEEEEE
Answer:
If she returns the skis at 3 p.m. she would pay $25. IM NOT SURE ABOUT 3:05 PM
Step-by-step explanation:
Start on the hours rented side. If she rents them at noon you would be at zero. Move to the 3 (in between 2 and 4) then if you go up it hits $25 on the rental cost side.
at 3pm $25
step by step solution
Un taxista compra un coche el 1 de enero de 2013 por 30.000 € . El coche tiene una vida útil de 10 años y un valor residual de 3000 €. El 30 de junio de 2015 vende el coche por 25.000 € . ¿ Qué beneficio ha obtenido?
Answer:
El taxista obtiene un beneficio de 1.750 € por la venta del taxi el 30 de junio de 2.015.
Step-by-step explanation:
El coche experimenta depreciación a medida que cubre su vida útil hasta caer a su valor residual, es decir, el valor del bien al término de su vida útil. En primer lugar, derivamos una ecuación del precio actual del coche en función del tiempo transcurrido bajo el supuesto de que existe una relación lineal:
[tex]C(t) = C_{o} + \frac{C_{f}-C_{o}}{\Delta t} \cdot t[/tex], para [tex]0\leq t\leq \Delta t[/tex] (1)
Donde:
[tex]C(t)[/tex] - Precio actual del coche, medido en euros.
[tex]C_{o}[/tex] - Precio inicial del coche, medido en euros.
[tex]C_{f}[/tex] - Precio residual del coche, medido en euros.
[tex]\Delta t[/tex] - Vida útil del coche, medida en años.
[tex]t[/tex] - Tiempo actual del coche, medida en años.
El precio actual del coche se obtiene a partir de los siguientes parámetros:
([tex]C_{o} = 30.000\,EUR[/tex], [tex]C_{f} = 3.000\,EUR[/tex], [tex]\Delta t = 10\,yr[/tex], [tex]t = 2.5\,yr[/tex])
[tex]C(t) = 30.000\,EUR +\left(\frac{3.000\,EUR-30.000\,EUR}{10\,yr} \right)\cdot (2.5\,yr)[/tex]
[tex]C(t) = 23.250\,EUR[/tex]
El beneficio derivado por la venta del coche ([tex]\Delta C[/tex]), medido en euros, se obtiene mediante la siguiente sustracción:
[tex]\Delta C = V-C[/tex] (2)
Donde:
[tex]V[/tex] - Precio de venta del coche, medido en euros.
[tex]C[/tex] - Precio actual del coche, medido en euros.
Si tenemos que [tex]V = 25.000\,EUR[/tex] y [tex]C = 23.250\,EUR[/tex], el beneficio obtenido por la venta es:
[tex]\Delta C = 25.000\,EUR-23.250\,EUR[/tex]
[tex]\Delta C = 1.750\,EUR[/tex]
El taxista obtiene un beneficio de 1.750 € por la venta del taxi el 30 de junio de 2.015.
Divide 3ab by 2c in algebraic expression
Answer:
[tex]\frac{3ab}{2c}[/tex]
Step-by-step explanation:
An algebraic expression is an expression consists of constants, variables, and the algebraic operations: addition, subtraction, multiplication and division.
Given: algebraic expressions are [tex]3ab,2c[/tex].
To divide: [tex]3ab[/tex] by [tex]2c[/tex]
Solution:
[tex]\frac{3ab}{2c}[/tex]
There are no common terms in numerator and the denominator.
So, answer is [tex]\frac{3ab}{2c}[/tex]
can someone please help me with this
please help fast
Find the mistake
a) (x+3)(x+9)= x2+18x+12
Step-by-step explanation:
Using FOIL:
(x + 3)(x + 9)
= (x)(x) + (x)(9) + (3)(x) + (3)(9)
= x² + 9x + 3x + 27
= x² + 12x + 27.
What is your favorite marvel character?
OR
What is your favorite Percy Jackson character?
10 points!
Answer:
nico
Step-by-step explanation:
Which of the following values are solutions to the inequality 7 < -2 – 3x?
I. 1
II. 3
III. - 3
None
I only
Submit Answer
II only
III only
I and II
I and III
II and III
O I, II and III
problem 1 out of n
Answer:
x<-3
Step-by-step explanation:
The given inequality is 7 < -2 – 3x.
We need to solve the inequality.
Adding 2both sides of the inequality.
7 +2 < -2 – 3x +2
9 <-3x
x<-3
So, the value of x should be less than -3.
Pls help will give brainilist
Answer:
1566 units^2
Step-by-step explanation:
34×28=952
34×9=306
28×11=308
952+306+308=1566
Answer:
1259 sq units
Step-by-step explanation:
Area of rectanlge; (A=bh) A=34 x 28 = 952
Area of left triangle; (A=bh/2) A=(28 x 11) /2 = 154
Area of abovle triangle; (A=bh/2) A=(34 x 9) /2 = 153
Sum of area of all three figures = 1,259
you need a piece of paper to measure 64.25 cm. if u tape two together that each measure 38.4 cm, how much do u need to cut off?
Answer:
Already answered https://brainly.com/question/369421
Step-by-step explanation:
The enrollment at a community
college this year is 115% of last year s
enrollment. If there were 1,240
students enrolled at the college last
year, how many students are there
this year
Answer:i think its -186 hope it helps
Step-by-step explanation:
Weekday hours tripled but your budget of $220 for 26
parking hours remain the same. How many weekend hours
can you purchase now that the weekday hours have
increased?
Answer:
8 weekend hours can now be purchased.
Note: The prior information required is:
You purchase 26 "parking hours" that you can use over the next month to park your food truck at the fair. Weekday hours cost $2/hour and weekend hours cost $10/hour.
Step-by-step explanation:
Initial cost of weekday hours = $2/ hour
Since the cost of the weekday hours is tripled, new cost = $2/ hour × 3 = $6/ hour
Total week hours purchased = 26 hours
Let the number of weekend hours be x; number of weekday hours will be 26 - x
Since the budget remains the same, therefore, the total cost of weekday parking hours and weekend parking hours will be equal to $220as expressed below;
(26 - x) × $6 + $10 × x = $220
$10x - $6x + $156 = $220
$4x = $(220 -156)
x = 64/4
x = 8 hours
Therefore, 8 weekend hours can now be purchased
Write a real-world example for the following algebraic expression: 2x - 2
Answer:
At the store every lollipop coasts $2 you have a coupon that will give you $2 off any purchase.
Step-by-step explanation:
2= the coast for each single lollipop
x= the number of lollipops you buy
-2= the $2 taken off your purchase due to your coupon
HELP ME PLEASE!! im being timed :(
Answer:
the first one and the third one
Step-by-step explanation:
simplify expression 7yz / -2
A -7/2 z
B-7/2 y
C 7/2 y
D 7/2 z
Answer:
Are sure the question is correct please
because the answer is not in the objective answers which is - 7/2 yz.
Please check your out again carefully.
Find the coordinate of the missing vertex of rectangle ABCD with A(-5,4), B(3,4), and D(-5,-3).
Answer:
(3 , -3)
Step-by-step explanation:
The missing vertex of rectangle ABCD is C(3, -3).
What are the coordinates?Coordinates are a collection of numbers that aid in displaying a point's precise location on the coordinate plane.
Given:
ABCD is a rectangle.
And the vertices are A(-5,4), B(3,4), and D(-5,-3).
We know,
the parallel sides of a rectangle are equal.
Plotting coordinates of all the vertex.
We get,
the missing vertex is C(3, -3)
To verify that segments are equal or not:
Now, AB = √{(-5 - 3)² + (4 - 4)²} = √{64} = 8 units
CD = √{(-5 - 3)² + (-3 + 3)²} = √{64} = 8 units.
Therefore, the missing vertex is C(3, -3).
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