Answer:
The probability is [tex]P(0.35 <X < 0.55) = 0.9921772[/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 175
The population proportion is p = 0.45
Generally the mean of the sampling distribution is [tex]\mu_{x} = 0.45[/tex]
Generally the standard deviation is mathematically represented as
[tex]\sigma_{x} = \sqrt{\frac{p (1-p)}{n} }[/tex]
=> [tex]\sigma_{x} = \sqrt{\frac{0.45 (1-0.45)}{175} }[/tex]
=> [tex]\sigma_{x} = 0.0376[/tex]
Generally the probability of that the sample proportion of orange candies will be between 0.35 and 0.55 is
[tex]P(0.35 < X < 0.55) = P( \frac{0.35 - 0.45}{0.0376} < \frac{X -\mu_{x}}{\sigma_{x}} < \frac{0.55 - 0.45}{0.0376} )[/tex]
=> [tex]P(0.35 <X < 0.55) = P( -2.696 < \frac{X -\mu_{x}}{\sigma_{x}} < 2.6595 )[/tex]
Generally [tex]\frac{X - \mu_{x}}{\sigma_{x}} = Z (The \ standardized \ value \ of X)[/tex]
So
[tex]P(0.35 <X < 0.55) = P( -2.6596 < Z< 2.6595 )[/tex]
=> [tex]P(0.35 <X < 0.55) =P( Z< 2.6595 ) - P( Z < -2.6596 )[/tex]
From the z-table
[tex]P( Z< 2.6595 ) = 0.99609[/tex]
and
[tex]P( Z< - 2.6595 ) = 0.0039128[/tex]
So
[tex]P(0.35 <X < 0.55) =0.99609 - 0.0039128[/tex]
=> [tex]P(0.35 <X < 0.55) = 0.9921772[/tex]
What is 6 x 7 ones??
Answer:
42 it is the answer i think
Step-by-step explanation:
6 × 7 = 42
6×1 = 6
6×2 = 12
6×3 = 18
6×4 = 24
6×5 = 30
6×6 = 36
6×7 = 42
6×8 = 48
6×9 = 54
6×10 = 60
Can you use the same multiplication fact to find 4x60 and 3x80
Answer:
Yes you can
Step-by-step explanation:
FAST HBELP 1min oijdfgpidfgdfgdfgg
Answer:
it looks like you have it right
Step-by-step explanation:
4x+y+6z=7
3x+3y+2z=17
-x-y+z=19
Answer:
the 2nd one
Step-by-step explanation:
I need help fast
please help me
Answer:
14
Step-by-step explanation:
Draw the triangle ABC on a coordinate plane given the following points A (0,0) B (4,-10) C (10,-4)
draw a picture of ur triangle
Answer:
This is very easy.
Step-by-step explanation:
Get a graph. The top of your triangle would be (0,0), the next angle or point would be (10,-4), and the last would be (-4,10). If graphed, the triangle would look like a triangle slanted to the left. To picture this, the top of your triangle would be diagonal to the second point (10,-4). Remember it's slanted to the left. That should be easier to picture.
Which fraction is equivalent to this decimal?
0.16¯
Answer: 4/25 ILY <3
Step-by-step explanation:
Answer:
1/6?
Step-by-step explanation:
least common denominator of 7/2 and1/2
A1 plumbing service charges $35 per hour plus a $25 travel charge for a service call. Good guys plumbing repair charges $40 per hour for a service call with no travel charge. How long must a service call be for the two companies to charge the same amount?
Answer: 5 hours
Step-by-step explanation: the equation is
35x + 25 = 40x just solve it to get 5
4.05 x 10^-2 Standard Form
Answer:
0.0405
Step-by-step explanation:
10^-2 is the same as 1/100, so if you multiply 4.05 x 1/100, you get 0.0405.
Another way to think about it is by looking at the exponent -2. You need to move the decimal point 2 spaces to the left -- and add zeroes to any spaces that don't already have numbers.
So if you start with 4.05, and move the decimal one space to the left, you get 0.405, and then you move it one more space, and you get 0.0405.
I’m not sure how to do this .
Answer:
A
Step-by-step explanation:
when you have this its asking for layers look at the shapes and you see what one matches
Answer:
A
Step-by-step explanation:
This is because this picture looks mainly like the isometric shape on the dot paper. In the other choices, you are clearly missing or adding some other part of the isometric shape.
Hope this helps!
jacinda May 16 baskets during the basketball game Greta May 4 baskets the number of baskets jacinda made is how many times more than a number of baskets Greta made
Answer:
4
Step-by-step explanation:
Blank x 0.9 = 0.18 i need help asap
Answer:
the answer is 0.2 i think..
Step-by-step explanation:
Answer:
blank = 0.2
Step-by-step explanation:
0.2*0.9=0.18
The random variables X and Y are jointly continuous, with a joint PDF of the form fX,Y(x,y)={cxy,0,if 0≤x≤y≤1,otherwise, where c is a normalizing constant. For x∈[0,0.5] , the conditional PDF fX|Y(x|0.5) is of the form axb . Find a and b .
Answer:
The value of a and b are 8 and 1 respectively
Step-by-step explanation:
[tex]f_{x,y}(x,y)=\left\{\begin{matrix}cxy ,\text{if} 0 \leq x \leq y \leq 1\\ 0 , \text{otherwise}\end{matrix}\right.[/tex]
[tex]\int_{0}^{1}\int_{x}^{1}cxy \text{dy dx}=1\\\\c\int_{0}^{1}x\left ( \frac{y^2}{2}\right )_{x}^{1} \text{ dx}=1\\\\\frac{c}{2}\int_{0}^{1}x\left ( 1-y^2\right )\text{dx}=1\\\\\frac{c}{2}\int_{0}^{1}(x-x^3)\text{dx}=1\\\\\frac{c}{2}\left [ \frac{x^2}{2}-\frac{x^5}{4} \right ]_{0}^1=1\\\\\frac{c}{2}\left [ \frac{1}{2}-\frac{1}{4} \right ]=1\\\\\frac{c}{2}\left ( \frac{1}{4} \right )=1\\\\c=8[/tex]
Conditional pdf of [tex]f_{x,y}(x|0.5)[/tex]
[tex]f_{x,y}(x|0.5)=\frac{f_{xy}(x,y=0.5)}{f_{y}y}[/tex]
Normalizing pdf of 1
[tex]f_{y}y=\int_{0}^{y} 8yx \text{dx}[/tex]
[tex]f_{y}y=8y[\frac{x^2}{2}]_{0}^{y}\\f_{y}y=4y(y^2)\\f_{y}y=4y^3\\f_{x|y}(x|0.5)=\frac{8x(0.5)}{4(0.5)^3}=\frac{2x}{0.25}=8x[/tex]
We are given that PDF [tex]f_{x|y}(x|0.5)[/tex] is of the form [tex]ax^b[/tex]
So, on comparing 8x with [tex]ax^b[/tex]
So, a = 8 , b = 1
So, the value of a and b are 8 and 1 respectively
The resulting value of a and b given the conditional PDF of fX|Y(x|0.5) is mathematically given as
a = 8 , b = 1 .
What are the values of a and b?Question Parameters:
a joint PDF of the form fX,Y(x,y)={cxy,0,if 0≤x≤y≤1,
For x∈[0,0.5]
the conditional PDF fX|Y(x|0.5)
Generally, the equation for the function of (x,y) is mathematically given as
[tex]f_{x,y}(x,y)=\left\{\begin{matrix}cxy ,\text{if} 0 \leq x \leq y \leq 1\\ 0 ,\end{matrix}\right.[/tex]
Therefore
[tex]\int_{0}^{1}\int_{x}^{1}cxy \text{dy dx}=1[/tex]
[tex]c\int_{0}^{1}x\left ( \frac{y^2}{2}\right )_{x}^{1} \text{ dx}=1[/tex]
[tex]\frac{c}{2}\left [ \frac{x^2}{2}-\frac{x^5}{4} \right ]_{0}^1=1[/tex]
[tex]\\\\\frac{c}{2}\left ( \frac{1}{4} \right )=1[/tex]
C=8
Where, the conditional PDF fX|Y(x|0.5)
[tex]f_{x,y}(x|0.5)=\frac{f_{xy}(x,y=0.5)}{f_{y}y}[/tex]
We have
[tex]f_{y}y=8y[\frac{x^2}{2}]_{0}^{y}\[/tex]
[tex]f_{y}y=4y^3[/tex]
[tex]f_{x|y}(x|0.5)=\frac{8x(0.5)}{4(0.5)^3}[/tex]
f_{x|y}(x|0.5)=8x
In conclusion. with the pdf in the form of ax^2
8x comparing ax^b
The value of a = 8 , b = 1 .
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Mrs. Moeser weights her grades. Tests are worth 60%, quizzes are worth 20%, homework is worth 10% and notebooks are worth 10%. Mike has a quiz average of 87, a homework average of 65, and a notebook average of 70. What does Mike's test average have to be for him to receive a 90 or higher?
Answer:
It has to at least be a 90Step-by-step explanation:
Mary drives for Uber. Uber charges a $3 flat rate plus $0.30 per mile driven.
What is the CONSTANT here? *
(1 Point)
$3
Uber
$0.30
$3.30
Answer:
$3.00 is the constant
Step-by-step explanation:
let x be the mile driven then
total charge=$3.00+[x($0.30)]
Maximize B=XY^2 , where x and y are positive numbers such that X+Y^2=5.
Without using any calculus:
If x + y² = 5, then y² = 5 - x, so that
b = x y² = x (5 - x) = 5 x - x²
Complete the square to get
b = 25/4 - (x - 5/2)²
Then b gets a maximum value of 25/4 when x = 5/2.
Simple calculus method:
With b = 5 x - x², differentiate b with respect to x and set the derivative equal to 0 to solve for critical points:
db/dx = 5 - 2 x = 0 ==> x = 5/2
Take the second derivative to determine whether b is concave or convex:
d²b/dx² = -2
The second derivative is negative, which means b is concave with respect to x, and this indicates x = 5/2 is the site of a local maximum, which is b (5/2) = 25/4.
More complicated calculus method:
Lagrange multipliers. The Lagrangian is
L (x, y, λ) = x y² - λ (x + y² - 5)
where we assume λ ≠ 0.
Take its derivatives:
dL/dx = y² - λ
dL/dy = 2 x y - 2 λ y
dL/dλ = x + y² - 5
Set each derivative equal to 0 to find the critical points. The first equation tells us y² = λ, and the second equation tells us x = λ, so
x + y² - 5 = 2 λ - 5 = 0
Solving this gives λ = x = y² = 5/2, so that b has an extreme value of
b = (5/2) (5/2) = 25/4
Deciding whether this is a maximum or minimum comes down to computing the Hessian determinant at the critical value. The Hessian is
[tex]H(x,y)=\begin{bmatrix}\dfrac{\partial^2b}{\partial x^2}&\dfrac{\partial^2b}{\partial x\partial y}\\\\\dfrac{\partial^2b}{\partial y\partial x}&\dfrac{\partial^2b}{\partial y^2}\end{bmatrix}=\begin{bmatrix}0&2y\\2y&2x\end{bmatrix}[/tex]
with determinant |H (x, y)| = -4 y². At the critical point, the determinant is -10 < 0, which indicates a maximum value of 25/4.
How much weight should the 5'10 male weighing 185lbs lose to be considered healthy? Round to the nearest pound. his BMI is 36.1
Answer:
Normaly its 150 to 138
Step-by-step explanation:
“) Order the values from least to greatest.
HHHH
3
2
13
1
5
5
-2-
Which equation represents a line that is parallel to y= -4x+3
Parallel lines have the same slope, so as long as the line has the same slope (y = -4x +b where b is any constant number other than 3) it is parallel.
Examine the following function. f(x)=8x2+2x−15 What are the factors of the function?
(4x−5)(2x+3)
(4x+5)(2x−3)
(4x−3)(2x+5)
(4x+3)(2x+3)
Answer:
(4x-5) (2x+3)
Step-by-step explanation:
(4x-5) (2x+3)
The factors of the function f(x)=8x²+2x−15 are (4x -5) and (2x + 3).
What is a quadratic function?A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function. In other terms, a "polynomial function of degree 2" is a quadratic function.
Given:
We have the quadratic function,
f(x)=8x²+2x−15.
To find the factors:
8x²+2x−15,
= 8x²+ 12x - 10x −15
= 4x(2x +3) -5(2x +3)
= (4x -5)(2x + 3)
Therefore, the factors are (4x -5) and (2x + 3).
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Lead in Medicine Listed below are the lead concentrations (in μg/g) measured in different Ayurveda medicines. Ayurveda is a traditional medical system commonly used in India. The lead concentrations listed here are from medicines manufactured in the United States (based on data from "Lead, Mercury, and Arsenic in US and Indian Manufactured Ayurvedic Medicines Sold via the Internet," by Saper et al., Journal of the American Medical Association, Vol. 300, No. 8. Use a 0.05 significance level to test the claim that the mean lead concentration for all such medicines is less than 14 μg/g.
3.0 6.5 6.0 5.5 20.5 7.5 12.0 20.5 11.5 17.5
Step-by-step explanation:
We start by calculating mean and standard deviation
Mean = sum of all values/total number of values
= 110.5/10
= 11.05
Standard deviation = √375.725/9
= √41.7472
= 6.46
Null hypothesis =
h0: μ = 14
Alternate hypothesis =
H1: μ < 14
Alpha is set at 0.05
Test statistic
T = mean - (μ)/(sd/√n)
=(11.05-14)/(6.46/√10)
= -2.95/2.0428
= -1.4441
P value calculator
df = n-1 = 10 -1 = 9
P Value = trust(x,df,tails)
= trust(1.4441,9,1)
= 0.0913
In conclusion our pvalue is greater than alpha level at 0.05 so we do not have sufficient evidence to reject the null hypothesis. We do not have enough evidence to accept the alternate so we reject claim that mean lead concentration for all such medicine is < than 14μg/g
The United States of America consists of 50 states and _____ territories.
A.
3
B.
4
C.
5
D.
6
Answer:
USA has five territories. 5 have a permanent, nonmilitary population but tbe over nine don't. 14 all together.
Answer:
C.) 5
Step-by-step explanation:
Hope you have a good day and get good grades
What is this answer it says it’s wrong
Answer:
[tex]-10x^3y^2+5x^2y^3-2x^3+7y^2[/tex]
Answer: tex.z-dn.net/?f=-10x%5E3y%5E2%2B5x%5E2y%5E3-2x%5E3%2B7y%5E2
Step-by-step explanation: Hope this helps. Have a good night ma´ám/sir. Be safe!
Dana graphs a point on a coordinate plane. The value of the x- coordinate of her is 5 more than the value of the y coordinate of her point. Which ordered pair could describe the point that Dana graphs.
A) (3,2)
B) (4,9)
C) (5,5)
D) (6,1)
If the perimeter of this isosceles triangle is at most 45 centimeters, which inequality could be used to find the value of p?
4p - 6 < 45
7p - 12 < 45
6p - 12 < 45
5p - 6 < 45
Answer:
Step-by-step explanation:
7p-12< 45
_
The inequality that can be used to find p is 7p -12 < 45. The correct option is B.
What is a Triangle?A triangle is a polygon with three sides, three angles, and three vertices.
The perimeter of the given triangle is at most 45 centimeters.
The perimeter of a triangle is equal to the sum of all sides
The sides given is 3p-6 , 3p-6 ,p
So,
3p-6 +3p-6 +p < 45
7p -12 < 45
Therefore, the inequality that can be used to find p is 7p -12 < 45. The correct option is B.
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The houses on a city block were thought to be valued at $175,000, $163,000,
$142,000, $135,000, $191,000, $122,000, and $147,000, respectively. But a
public assessor has determined that the value of each house is actually
$20,000 higher than previously thought. According to the public assessor,
what is the median value of the houses?
O A. $162,000
O B. $167,000
O c. $155,000
O D. $147,000
SUBMIT
Answer:
$167,000
Step-by-step explanation:
THAT'S THE ANSWER.COM
The median value of the houses is $167,000.
MedianWhat is median value?The middle number in a collection of numbers is known as the median.
How median is calculated?Check to see if 'n' is an even number of values.Find the two numbers that are in the centre of the table of data. Adding the two middle numbers together and dividing the result by two will yield the average of the two numbers.The median is the outcome of this average.Calculation for the median of the houses:The initial value of the 7 houses were,
$175,000, $163,000, $142,000, $135,000, $191,000, $122,000, and $147,000.
As, the value of each house were increased by $20,000.
The value of houses after increment,
$195,000, $183,000, $162,000, $155,000, $211,000, $142,000, and $167,000.
Arrange the values in the increasing order.
$142,000, $155,000, $162,000$, 167,000, $183,000, $195,000, $211,000.
Since, the given data has 7 values which is a odd number. So, values come in the middle is $167,000.
Therefore, the median value of the houses is $167,000.
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show me the venn diagram
Step-by-step explanation:
A Venn diagram, also called primary diagram, set diagram or logic diagram, is a diagram that shows all possible logical relations between a finite collection of different sets. These diagrams depict elements as points in the plane, and sets as regions inside closed curves. A Venn diagram consists of multiple overlapping closed curves, usually circles, each representing a set. The points inside a curve labelled S represent elements of the set S, while points outside the boundary represent elements not in the set S. This lends itself to intuitive visualizations; for example, the set of all elements that are members of both sets S and T, denoted S ∩ T and read "the intersection of S and T", is represented visually by the area of overlap of the regions S and T.[1][2] In Venn diagrams, the curves are overlapped in every possible way, showing all possible relations between the sets. They are thus a special case of Euler diagrams, which do not necessarily show all relations. Venn diagrams were conceived around 1880 by John Venn. They are used to teach elementary set theory, as well as illustrate simple set relationships in probability, logic, statistics, linguistics, and computer science.
Venn diagram showing the uppercase glyphs shared by the Greek, Latin, and Cyrillic alphabets
A Venn diagram in which the area of each shape is proportional to the number of elements it contains is called an area-proportional (or scaled Venn diagram).
Henry recorded how many pounds of fruits and vegetables his
family bought during the past two months.
ok
uibciuendsjdddddddddddddddddddddddddddddddddddddddddddddddddddddddddfffffffffffffff
The required answer is,
A) The weight of 4 fruits round to the nearest 0.1 pound is-
Apple = 2.1
Blueberries = 1.1
lemon = 1.0
Orange = 3.5
B) The weight of 4 vegetables round to the nearest 0.01 pound is-
Asparagus = 2.32
Beats = 1.86
Celery = 1.40
Corn = 2.56
What is rounding of digit?Rounding is a process to estimate a particular number in a context.
To round a number look at the next digit in the right place, if the digit is less than 5, round down and if the digit is 5 or more than 5, roundup.
Now the given weights in pounds of the fruits are,
Apple = 2.068
Blueberries = 1.07
lemons = 1.031
Orange = 3.502
Peaches = 2.608
Pears = 3.592
The given weights in pounds of the vegetables are,
Asparagus = 2.317
Beats = 1.862
Celery = 1.402
Corn = 2.556
Potatoes = 3.441
Red onions = 1.863
Now picking the 4 fruits,
Apple = 2.068
Blueberries = 1.07
lemons = 1.031
Orange = 3.502
To round the weight to the nearest 0.1 pounds we see the digit at 0.1 place, if the digit right to the 0.1 place is greater than or equal to 5 roundup the digit, and if it is less than 5 round down the digit.
Thus,here we get
2.068 = 2.1
1.07 = 1.1
1.031 = 1.0
3.502 = 3.5
Thus, the weight of 4 fruits round to the nearest 0.1 pound is-
Apple = 2.1
Blueberries = 1.1
lemon = 1.0
Orange = 3.5
Now picking 4 vegetables,
Asparagus = 2.317
Beats = 1.862
Celery = 1.402
Corn = 2.556
To round the weight to the nearest 0.01 pounds we see the digit at 0.01 place, if the digit right to the 0.01 place is greater than or equal to 5 roundup the digit, and if it is less than 5 round down the digit.
Thus,here we get
2.317 = 2.32
1.862 = 1.86
1.402 = 1.40
2.556 = 2.56
Thus, the weight of 4 vegetables round to the nearest 0.01 pound is-
Asparagus = 2.32
Beats = 1.86
Celery = 1.40
Corn = 2.56
The required answer is,
A) The weight of 4 fruits round to the nearest 0.1 pound is-
Apple = 2.1
Blueberries = 1.1
lemon = 1.0
Orange = 3.5
B) The weight of 4 vegetables round to the nearest 0.01 pound is-
Asparagus = 2.32
Beats = 1.86
Celery = 1.40
Corn = 2.56
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HARRY I NEED HELP FAST 15POINTS
Which expressions are quadratic expressions? Check all that apply
z^2
2x + 7x - 10
2x^2 + 9x - 7
500(0,25)^t -1
13x^3 + 21x^2-5
Answer:
First,Third Only
Step-by-step explanation:
Quadratic expression are those expression where the variable has a degree of maximum 2 and only the first and third expression have the degree of 2 in the choices. 2nd choice is a linear expression because both the variables have degree 1. 4th choice has a degree of t which means its an exponential expression, and 5th choice has the degree 2 and 3 but the maximum degree is 3 so it isn't a quadratic is a cubic equation.
Standard form of a quadratic expression
[tex]ax^2+bx+c[/tex]