Answer:
Step-by-step explanation:
49y^2 - 25x^2 - 196y - 200x = 1429
49y^2-196y+196 - 25x^2-200x-400 = 1429+196-400
49(y-2)^2 - 25(x+4)^2 = 1225
(y-2)^2/25 - (x-4)^2/49 = 1
So now you know that you have an hyperbola with
center at (-4,2)
foci at (-4,2±[tex]\sqrt{74}[/tex])
vertices at (-4,2±5)
asymptotes 7y±20 = ∓5x+14
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 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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5. What is the quotient if you divide 9/12 - 1/6
54 hope it helps 54 that what is gave it to me
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]
Without multiplying, determine the sign of the product (−247,634) × (183,758).
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)]
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
1+1
Please, please, this is just to get to 20 words. lol
Answer:
2
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
your welcome :}
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!
5. Find the equation of the line through the points (-6, 12) and (-4,91
Answer:
The answer is -11x and -21
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
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:
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:
Value Grocery Mart and Market City are both having a sale on the same popular crackers. McKayla is trying to determine which sale is the better deal. Using the given table and equation, determine which store has the better deal on crackers? Explain your reasoning. (Remember to round your answers to the nearest penny.)
Value Grocery Mart:
Number of Boxes of Crackers
3
6
9
12
Cost (in dollars)
5
10
15
20
Answer: value grocery store
Step-by-step explanation: Because when you divide all the numbers by each other your gonna get 0.6 .
The same popular crackers are on sale at Value Grocery Mart and Market City for 5.25, 10.5, 15.75, and 21 cents.
What are the differences between chart and tabular forms?A chart is one that displays data using symbols such as bars in a bar chart, columns in a line chart, or slices in a pie chart. A chart can represent tabular numerical data, functions, or specific types of quality structures to convey a variety of information.Using a tabular form and a single page, users can change multiple rows and columns in a table at the same time.A chart displays data in the form of a table, graph, or diagram. It can convey vast amounts of information in a variety of ways.As the cost per pack is C=1.75b. C is the Cost in dollars.
3 × 1.75 = 5.25
6 × 1.75 = 10.5
9 × 1.75 = 15.75
12 × 1.75 = 21
Here, the table is given below
The complete question is:
Value Grocery Mart and Market City are both having a sale on the same popular crackers. McKayla is trying to determine which sale is the better deal: Using the given table and equation, determine which store has the better deal on crackers? Explain your reasoning. (Remember to round your answers to the nearest penny.) Value Grocery Mart: 12 6 3 20 15 Number of Boxes of Crackers 10 5 Cost (in dollars) Market City: c = 1.75b, where c represents the cost in dollars, and b represents the number of boxes of crackers
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What is the simplified expression for 2 power 2 multiplied by 2 power 3 over 2 power 4? (1 point)
Answer:
2
Step-by-step explanation:
first write out the expression
(2 ^ 2)×(2^3)/(2^4)
using bodmas we deal with the division sign first as well as using the laws of indices. Thus we have
(2^2)×(2^[3-4])
= (2^2)×(2^-1)
=(2^[2+(-1)])
= (2^(2-1))
= (2^1)
= 2
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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Find the value of x.
Answer:
x=21
Step-by-step explanation:
180-126=54
54-12=42
42/2=21
x=21
Answer please thanks for answer
Answer: 15.8
In this number, .8 is the tenths place. So round it to this number.
.839 rounded to nearest tenth = .8
Your result should be 15.8.
15.839 rounded to the nearest tenth is 15.8.
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:
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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A zoo has 400 animals. If 40% of the animals are sick, how many animals is
that
Answer:
160 animals
Step-by-step explanation:
C is the circumcenter of PQR
PC=3x+7, RC=5x-15 and QC=51-x.
what does RC equal?
Answer:
[tex] RC = 40 [/tex]
Step-by-step explanation:
Given:
PC = 3x + 7,
RC = 5x - 15,
QC = 51 - x.
Required:
measure of RC
SOLUTION:
Given that C is the circumcenter of ∆PQR, therefore, vertices P, Q, and R are equidistant from C.
So therefore,
[tex] PC = RC = QC [/tex]
Let's find the value of x using:
[tex] PC = RC [/tex]
[tex] 3x + 7 = 5x - 15 [/tex] (substitution)
Collect like terms
[tex] 3x - 5x = -7 - 15 [/tex]
[tex] -2x = -22 [/tex]
Divide both sides by -2
[tex] x = \frac{-22}{-2} [/tex]
[tex] x = 11 [/tex]
Find the measure of RC
[tex] RC = 5x - 15 [/tex]
substitute x = 11 into the equation
[tex] RC = 5(11) - 15 [/tex]
[tex] RC = 55 - 15 [/tex]
[tex] RC = 40 [/tex]
Answer:
40
Step-by-step explanation:
3+3+3
Please Help....
Answer:
9
Step-by-step explanation:
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!
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.
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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Find the solution to the equation.
4(x + 7) = 38 i need it ASAP plzzz
Answer:
x = 2.5
or
x = 1/4
Step-by-step explanation:
watch the following steps:
4x + 28 = 38
4x = 38 - 28
4x = 10
x = 2.5
or
x = 1/4
Pls consider marking my answer as Brainliest! It would mean a lot!
Answer:
2.5, maybe
Step-by-step explanation:
distribute 4 into x and 7
subtract 28 from both sides (28-28, 38-28)
divide 4 and 10
2.5
it seems odd...
Simplify 3{[3(9 – 2)] + [7(8 – 1)]}
Answer:
210
Step-by-step explanation:
Use the order of operations pemdas( parenthesis, exponent, multiply, divide, add, subtract)
first do everything within the parenthesis.
3 ( ( 3 (9-2) ) + ( 7 (8-1) ) )
3 ( ( 3 (7) + ( 7 ( 7 ) ) )
3 ( ( (21) + (49) ) ) )
3 ( ( 21 + 49 ) )
3 ( 70 )
3 (70) = 70 + 70 + 70 = 140 + 70 = 210
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
FAST HBELP 1min oijdfgpidfgdfgdfgg
Answer:
it looks like you have it right
Step-by-step explanation: