The sampling distribution of is a binomial distribution with parameters n and p, where n is the sample size and p is the population proportion of the specified characteristic.
The mean of the sampling distribution is np and the standard deviation is [tex]$\sqrt{np(1-p)}$[/tex].
Sampling Distribution of a Simple Random SampleRound the standard deviation to three decimal places, it is [tex]$\sqrt{np(1-p)}$ = $\sqrt{n \cdot p \cdot (1-p)} \approx \sqrt{n \cdot p \cdot 0.99}$[/tex].
The sampling distribution of is a binomial distribution with parameters n and p, where n is the sample size and p is the population proportion of the specified characteristic. The mean of the sampling distribution is np and the standard deviation is [tex]$\sqrt{np(1-p)}$[/tex]. This means that for a given sample size n and population proportion p, the standard deviation of the sampling distribution can be calculated by taking the square root of the product of n, p, and (1-p).
Learn more about sampling distribution: https://brainly.com/question/12892403
#SPJ4
Find the following quotient. Reduce to lowest terms.
11÷44/35
Answer:
0.071 is your answer.
Step-by-step explanation:
Or you can write 11/1540. First divide 11/44 and divide 35 by your answer. You will get your answer 0.071 and if you want to have this answer in divide form than your answer is 11/1540.
(1) Complete the number sequences.
(a) 0.4, 0.2, 0.6, 0.4, 1.2, 1.0, 3.0,
The next three numbers of sequence is,
⇒ 2.8, 8.4, 8.2
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
The sequence is,
⇒ 0.4, 0.2, 0.6, 0.4, 1.2, 1.0, 3.0, .., .., ...,
Now,
Since, The sequence is,
⇒ 0.4, 0.2, 0.6, 0.4, 1.2, 1.0, 3.0, .., .., ...,
Clearly, The pattern of the sequence is,
⇒ 0.4 - 0.2 = 0.2
⇒ 0.2 × 3 = 0.6
⇒ 0.6 - 0.2 - 0.4
⇒ 0.4 × 3 = 1.2
⇒ 1.2 - 0.2 = 1.0
⇒ 1.0 × 3 = 3.0
⇒ 3.0 - 0.2 = 2.8
⇒ 2.8 × 3 = 8.4
⇒ 8.4 - 0.2 = 8.2
Thus, Next three terms of the sequence is,
⇒ 2.8, 8.4, 8.2
Learn more about the multiplication visit:
https://brainly.com/question/10873737
#SPJ1
A jug of milk holds 4 quarts. How many liters of milk does the jug hold? Round your answer to the nearest hundredth of a liter. 1 L ≈ 1.06 qt
A. 0.27 L
B. 3.77 L
C. 4.24 L
D. 5.06 L
Please help !!
Answer: B: 3.77 L.
Step-by-step explanation:
To solve this problem, you need to know that 1 quart is equal to approximately 0.94 liters. This means that 4 quarts is equal to approximately 3.76 liters. Rounding this number to the nearest hundredth of a liter gives you an answer of approximately 3.76 liters, or 3.76 L. Therefore, the correct answer is choice B: 3.77 L.
Put these numbers in order from least to greatest 7.9 7.5 7.541 8.401 7.19
Answer: 7.19, 7.5, 7.541, 7.9, 8.401
Step-by-step explanation: I would recommend creating a number line and plotting to points, this may help you visual it from least-> great :)
Diego can fill 1 1 5 bottles with 3 liters of water how many liters of water fill 1 bottle
Answer:
5/2 liters, which is equal to 2 1/2 liters per 1 bottle
Step-by-step explanation:
I see that this problem works with fractions, so I will assume that the final answer must be as such.
1 1/5 is the same as saying 6/5, so how many bottles would 1 liter fill?
(6/5 bottles)/(3 liters) = 2/5 bottles per liter
So two liters would fill a single bottle only 4/5 of the way. What about the last 1/5?
Keep in mind that 1/5 is half of 2/5, so (1 liter)/2 = 1/2 liter
So therefore, you can either add 1/2 a liter to 2 liters, or subtract a liter from 3 liters to get 2 1/2 liters per bottle.
Another way to do this problem is as follows:
The ratio we’re looking at is 3 liters for every 6/5 of a bottle
(3 liters) / (6/5 bottles)
We can invert 6/5 before multiplying out the fraction making this process easier
3 * 5/6 = (3*5)/6
Remember that 6/3=2
So we get 5/2 liters, which is equal to 2 1/2 liters per 1 bottle
4x-(3x-5)=2x+11 x value
Which choices are equivalent to the expression below?
Check all that apply.
√24
A. √4 . 6
B. 2 .√6
C. √12
D. 24
E. 4 . √6
F. 8 . √6
Graph the arithmetic sequence.
$4,\ 12,\ 20,\ 28,\ ...$
Keyboard Instructions
Initial graph state
The horizontal axis goes from -0.8 to 6 with ticks spaced every 1 unit(s).
The vertical axis goes from -2 to 30 with ticks spaced every 4 unit(s).
The graph of the arithmetic sequence is added as an attachment
How to graph the arithmetic sequence?From the question, we have the following parameters that can be used in our computation:
Sequence: 4, 12, 20, 28....
The above sequence is an arithmetic sequence with the following parameters
First term, a = 4
Common difference, d = 8
So, the x-th term is
f(x) = a + (x - 1) * d
Substitute the known values in the above equation, so, we have the following representation
f(x) = 4 + (x - 1) * 8
This gives
f(x) = 8x - 4
So, the equation to plot is f(x) = 8x - 4
See attachment for the graph
Read more about sequence at
https://brainly.com/question/6561461
#SPJ1
given the following table with selected values of f(x) and g(x) evaluate f(g(1))
The value of f(g(1) from the table of functions is given as 1.
What is Functions ?Each element of X receives precisely one element of Y when a function from one set to the other is used. The sets X and Y are collectively referred to as the function's domain and codomain, respectively. Initially, functions represented the idealized relationship between two changing quantities.
A function is a procedure or a relation that links each element of a non-empty set A, at least one element of another non-empty set B, to another element of the first non-empty set A. In mathematics, a relation f between two sets, A and B, is referred to as the function's domain and co-domain.
A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a connection between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain. The usual way to refer to a function is as f(x), where x is the input.
when x = 1
g(x) = 3
or f(g(1) = f(3) = 1
The value of f(g(1) from the table of functions is given as 1.
To learn more about Functions refer to :
https://brainly.com/question/30169765
#SPJ1
Question 1 (Multiple Choice Worth 2 points)
(Slope MC)
What is the slope of the line that contains the points
(-2, -7/2) and (4,-4)?
-1/12
-1/4
1/4
1/12
The solution is Option A.
The slope of the equation is given by Slope m = -1/12
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the first point be P = P ( -2 , -7/2 )
Let the second point be Q = Q ( 4 , -4 )
The slope of the line between the points is given by the equation ,
Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = ( -4 - ( -7/2 ) ) / 4 - ( -2 )
On simplifying the equation , we get
Slope m = ( -4 + 7/2 ) / 6
Slope m = ( -8 + 7 ) / ( 2 x 6 )
Slope m = -1/12
Therefore , the value of m is -1/12
Hence , the slope of the line is m = -1/12
To learn more about equation of line click :
https://brainly.com/question/14200719
#SPJ1
The ratio of number of number of stamps collected by Susan and Latha is 5:7. If Latha has collected 105 stamps, what is the number of stamps with Susan?
Please answer
Answer:
Step-by-step explanation:
105 divided by 7 =15 so if 15 times 7=105 then 15 times 5 is 75. so susan has 75 stamps. please mark me brainliest.
The short leg of a right triangle is 10 meters and the acute angles measure 25° and 65°. find the measures of the longer leg of the right
triangle.
When the short leg of a right triangle is 10 meters long and the sharp angles are present, the right triangle's longer leg has a measurement of 21.45 meters.
what is right angle ?Right angles are created when two straight lines cross at a 90° angle or are perpendicular to one another at the intersection. The sign stands for a right angle. Different right angle formations can be seen in the above image. The proper angles can be found in shapes. Right triangles are triangles with one of the internal angles at a right angle of 90 degrees. Since a triangle's three interior angles sum up to 180 degrees, a right triangle's three interior angles must always add up to 90 degrees since one of them is always 90 degrees.
given
x / sin 65° = 10 / sin 25°
x = 10 sin 65°/ sin 25°
x = 21 .45 meters
as law of sine
a / sinA = b / sinB = c / sinC
When the short leg of a right triangle is 10 meters long and the sharp angles are present, the right triangle's longer leg has a measurement of 21.45 meters.
To know more about right angle visit :-
https://brainly.com/question/7116550
#SPJ1
please really need help, no spamming will make brainliest 20 points!!!!!!!!!!!!!!!!!!!!!!!!
Triangles ΔICR and ΔISU are congruent by SAS rule of congruency, therefore; ∠CIR ≅ ∠SIU by CPCTC
What are congruent triangles?Two triangles, ΔABC and ΔXYZ are said to be congruent by the Side-Angle-Side, SAS congruency rule, if the two sides and an included angle of triangle ΔABC, are congruent to two sides and an included angle of triangle ΔXYZ.
The specified measurements are;
∠1 ≅ ∠4
CU = RS
IC = IS
IC ≅ IS (Definition of congruency)
The congruency of the sides IC and IS indicates that the triangle ΔICS is an isosceles triangle
Therefore, ∠2 ≅ ∠3 by the properties of the base angles of an isosceles triangle
CU - RU = RS - RU (subtraction property)
RU ≅ RU, (reflexive property of congruency)
CU - RU = CR
RS - RU = SU
CR = SU (Substitution property)
CR ≅ SU (Definition of congruency)
ΔICR is congruent to ΔISU by Side-Angle-Side, SAS, rule of congruency.
∠CIR ≅ ∠SIU by Corresponding Parts of Congruent Triangles are Congruent, CPCTC
Learn more about the triangle congruency rules here:
https://brainly.com/question/2292380
#SPJ1
supply the missing numerator or denominator
Answer:
You need to find a pattern in order to solve (check explanation)
Step-by-step explanation:
The easiest way to find a pattern is by knowing the difference between two numbers; in this case, it's 3 and 6 (a-numerators), 3 - 6 = 3 we know you could get this by multiplying 3 x 2
Now that you know this-- the other a-numerators are products of 3
A) 3, 6 , 9 , 12 , 15, 18
20
____
I'm not so sure as for the b problem, I genuinely don't want to give a bad answer, but possibly using the same tactic could work, it does seem like the denominator is more important for b.
Deandre rented a movie. He started the movie at 11:48 PM, and it was 2 hours 37 minutes long. When did the movie end?
Answer:
2:25 am is the right answer.
Answer:
02:25 or 2:25 AM
Step-by-step explanation:
Add 2 hours yo 1148 to get 0148 now add 37 more minutes to get 02:25
BEST ANWER GETS BRAINLIEST PLEASE HELP!! :( THIS IS A FINAL!1
2. Apple is also analyzing their profit of the iPhones they sell.
Apple: Profit from iPhones Sold
iPhones sold (in millions) i Profit (in millions of dollars) P(i)
-1 0
2 -9
5 0
6 7
7 16
A. Based on the table, create an equation in factored form (hint: look for the x-intercepts of the function). Then translate the factored form into completed the square form and standard form.
Factored form P(i) =
Standard form P(i) =
The x-intercept of the function is where y=0 and x = -1 or x=5
What is x-intercept?You should be aware that the x-coordinate of a point where a line, curve, or surface intersects the x-axis. Also, The x-intercept for any curve is the value of x coordinate of the point where the graph cuts x-axis
Considering the table
i P(i)
-1 0
2 -9
5 0
6 7
7 16
The factored form would be
P(i) = (i+1)(i-5)
The standard form would also be
P(i) = i²-5i+i-5
= i²-7i-5
Therefore the factored and standard forms are (i+1)(i-5) and i²-7i-5 respectively
Learn more about x-intercept on https://brainly.com/question/14180189
#SPJ1
what property is (6+5)+3=3+(6+5)
The property shown is an example of commutative property of addition.
What is commutative property?A binary operation is commutative if changing the order of the operands does not change the result.
Given that, what property is (6+5)+3=3+(6+5)
The given example is of commutative property,
a+b = b+a, here a = (6+5) and b = 3
In commutative property, the commutative property of addition says that changing the order of addends does not change the sum. Here's an example: 4 + 2 = 2 + 4 4 + 2 = 2 + 4 4+2=2+4.
The commutative property of addition states that a change in the order of the numbers being added does not affect the sum.
Hence, the property shown is an example of commutative property of addition.
For more references on commutative property, click;
https://brainly.com/question/778086
#SPJ1
The manager of a store increases the price of a popular product by 7%. Let t be the original
price of the product. The new price is t + 0.07t.
If the original price was $19.99, estimate the new price by first rounding the original price
to the nearest dollar.
The new price of product can be estimated as $34.
What is an Algebraic expression?An algebraic expression can be obtained by doing mathematical operations on the variable and constant terms.
The variable part of an algebraic expression can never be added or subtracted from the constant part.
The original price is given as $19.99.
And, the expression for new price is t + 0.07t.
Where t is the original price.
Plug t = 19.99 to obtain,
⇒ 19.99 + 0.7 × 19.99 = 33.983
Which is approximately $34.
Hence, the new price is obtained as $34.
To know more about algebraic expression click on,
brainly.com/question/953809
#SPJ2
what’s the correct answer answer asap for brainlist
A subtraction square is a 3 by 3 grid of integers where, in each row from left to right, and in each column from top to bottom, the first integer minus the second integer equals the third integer. The integer k is in the top left unit square of the subtraction square, as shown. When the subtraction square is filled in completely, what is the sum of all nine integers? Express your answer in simplest form in terms of k.
The sum of all nine integers in the subtraction square is equal to 9 times the number in the top left unit square, which is k.
1. Fill in the subtraction square with three rows and three columns.
2. In each row from left to right, and in each column from top to bottom, the first integer minus the second integer equals the third integer.
3. The sum of all nine integers is equal to the sum of the numbers in each row plus the sum of the numbers in each column.
4. The sum of the numbers in each row is equal to k + (k - k) + (k - (k - k)) = 3k
5. The sum of the numbers in each column is equal to k + (k - (k - k)) + (k - (k - (k - k))) = 3k
6. So the sum of all nine integers is 9k.
Learn more about integer here
https://brainly.com/question/15276410
#SPJ4
Just plug in numbers.
This grid works
k k 0k k 00 0 0
so the answer is 4k.
is it consistent dependent or indepdent?
Answer:
consistent
Step-by-step explanation:
the other ones are spelled wrong also dependent
Solve the equation : 3x^2=2x-10
Answer: 1/3 ± √29/3i
Step-by-step explanation:
To solve these equations, move everything to one side:
3x^2-2x+10 = 0
This cannot be factored, so use the quadratic formula:
x = -(-2) ± √( (-2)^2 - 4(3)(10)) / 2
x = (2 ± √4 - 120) / 6
x = 2 ± (√116 • i) / 6
x = 2 ± (2√29•i) / 6
x = 1/3 ± (√29/3)i
A pound of chocolate cost $6. Ashley buys p pounds. Write an equation to represent the total cost c that Ashley buys
Answer:
c = 6p
Step-by-step explanation:
6 times the number of pounds that she buys will be the total cost.
july 15, 2017 + 7months
Answer:
February 15, 2018
Step-by-step explanation:
Not sure but I think
In the figure below, N is between M and O, and O is between N and P. If MP=9, MO=6, and NP=7, find NO.
Length of NO = 4 unit.
What is length?Length is the distance of any object or any figure form one end to another end. In the above question, length of different part of a same straight line is measured one by one.
What is the length of NO given in question?
MP is a straight line. N, M, O, P are all lying on this line. N is between M and O and O is between N and P.
length of MP = 9 unit
length of MO = 6 unit
length of NP = 7 unit
As per the statement, MP - NP = MN
MN = 9 - 7
length of MN = 2 unit
as N is between M and O
so, NO = MO - MN
NO = 6 - 2
length of NO = 4 unit
To know more about length visit:
https://brainly.com/question/30100801
#SPJ1
Find the solution of the differential equation
y' = 2 square root y . x
The required solution of the differential equation is given as; y = x⁴/4 + c₁x²/2 + c₁².
What is implicit differentiation?The method of determining the derivative of an implicit function by differentiating each term separately, expressing the derivative of the dependent variable as a symbol, and solving the resulting expression for the symbol.
We are Given the differential equation,
y' = 2 √y . x
y' = dy/dx so,
Therefore, we have
dy/dx = 2√y.x
dy/√y = 2x dx
y = [1/2(x² + c₁)]²
y = x⁴/4 + c₁x²/2 + c₁²
Thus, the solution of the differential equation is given as y = x⁴/4 + c₁x²/2 + c₁² .
Learn more about differentiation;
brainly.com/question/11887805
#SPJ1
Evaluate the expression √ − 6 /√ − 6 √ − 7 and write the result in the form a + b i
Answer:
√ − 6 /√ − 6 √ − 7 = -1 + 0i
Step-by-step explanation:
The dimensions of a garden in the shape of a right triangle are measured in feet (ft). This diagram shows one dimension, in inches (in.), of a scale drawing of the garden and the scale used to create the drawing.
The length in feet of the longest part of the garden would be = 6ft
What is a garden?A garden is defined as an area that is prepared and set aside for the purpose of growing various flowers, shrubs and grasses.
The area of the given triangle = 54in²
The perimeter of the given triangle = 36 in.
Using the formula for area of a triangle ;
Area = ½ base(b) ×height(h)
where base = 9 in
54 = 1/2 × 9 × h
Make h the subject of formula;
h = 54×2/9
h = 108/9
h = 12
But the perimeter = sum of the whole sides of the triangle
perimeter = 36
side a = 9
side b = 12
side c = X
that is , 36 = 9+12+X
make X the subject of formula;
X = 36-21
X = 15in
Therefore, 15 in when converted to feet;
2 ft = 5 in
X ft = 15 in
xft = 2 × 15/5
X ft = 30/5
X ft = 6ft
Learn more about triangle here:
https://brainly.com/question/28470545
#SPJ1
With a mean of 3 inches with standard deviation of 0.03.
If the manufacturer intends to discard the bottom 2.87% and the top 3.59% of nails, in terms of their lengths, what would be the cut-off lengths for nails to be discarded?
Round your answers to
two decimal places.
Low-end: _______ inches
High-end: ______ inches
Answer:
To find the cut-off lengths for nails to be discarded, you can use the fact that the mean of the nail lengths is 3 inches, and the standard deviation is 0.03 inches.
The bottom 2.87% of the nails are the shortest 2.87% of the nails, and the top 3.59% of the nails are the longest 3.59% of the nails. You can use the normal distribution to find the number of standard deviations from the mean that the cut-off lengths are.
Since the manufacturer intends to discard the bottom 2.87% and the top 3.59% of nails, you can use the standard normal table to find that the cut-off lengths are -1.28 standard deviations from the mean for the bottom 2.87% and 1.28 standard deviations from the mean for the top 3.59%.
To find the cut-off lengths in inches, you can multiply the number of standard deviations by the standard deviation in inches:
Low-end: -1.28 * 0.03 inches/standard deviation = -0.0384 inches
High-end: 1.28 * 0.03 inches/standard deviation = 0.0384 inches
Rounded to two decimal places, the cut-off lengths are:
Low-end: -0.04 inches
High-end: 0.04 inches
So the manufacturer should discard nails that are shorter than
3 inches - 0.04 inches = 2.96
Ana has 111 ounces of water in a pitcher. After she fills 8 glasses with the same amount of water, there are 15 ounces of water left in the pitcher.
How much water is in each glass?
