Answer:
0.3125
Step-by-step explanation:
From the full question in your book, the probability can be computed as:
[tex]P(X+Y=6) = P \{X=1,Y=5\} \cup \{X=2,Y=4\} \cup \{X=3,Y=3\} \cup \{X=4,Y=2\} \cup \{X=5,Y=1\}[/tex]
[tex]= P(X=1,Y=5) + P(X=2,Y=4)+P(X=3,Y=3)+P(X=4,Y=2)+P(X=5,Y=1)[/tex]
since all events are enclosed in brackets, they are mutually exclusives.
Then:
[tex]= P(X=1)P(Y=5)+P(X=2)P(Y=4)+P(X=3)P(Y=3)+P(X=4)P(Y=2)+P(X=5)P(Y=1)[/tex]
as X and Y are independent;
= [tex](0.25\times0.25 + 0.25\times0.25 + 0.25\times0.25+0.25\times0.25 + 0.25\times0.25)[/tex]
= 0.3125
Therefore;
P(X+Y= 6) = 0.3125
What’s the answer to these?
Hello,
[tex]x^2+y^2-4x+2y-4=0\\\\<=> (x-2)^2-2^2+(y+1)^2-1^2-4=0 \\ \\<=>(x-2)^2+(y+1)^2=9[/tex]
[tex](x+2)^2+(y-3)^2=9\\\\<=> x^2+4x+4+y^2-6y+9=9\\ \\<=>x^2+y^2+4x-6y+4=0[/tex]
Thanks
Put the following equation of a line into slope-intercept form,
simplifying all fractions.
2y – x = -8
Find an equation of a parabola that has curvature 6 at the origin. (Assume the parabola has its vertex at the origin, and opens upward.)
Answer:
The equation of a parabola that has a curvature 6 at the origin is [tex]f(x) = 3\cdot x^{2}[/tex].
Step-by-step explanation:
All parabolas are represented by second-order polynomials, whose standard form is:
[tex]f(x) = a\cdot x^{2}+b\cdot x + c[/tex] (Eq. 1)
Where:
[tex]x[/tex] - Independent variable, dimensionless.
[tex]y[/tex] - Dependent variable, dimensionless.
[tex]a[/tex], [tex]b[/tex], [tex]c[/tex] - Coefficient of the parabola, dimensionless.
From Vectorial Calculus we know that curvature ([tex]K[/tex]), dimensionless, is defined by the following expression:
[tex]K = \frac{\left|\frac{d^{2}y}{dx^{2}} \right|}{\left[1+\left(\frac{dy}{dx} \right)^{2}\right]^{\frac{3}{2} }}[/tex] (Eq. 2)
Where [tex]\frac{dy}{dx}[/tex] and [tex]\frac{d^{2}y}{dx^{2}}[/tex] are the first and second derivatives of the function, respectively. Each expression is described below:
[tex]\frac{dy}{dx} = 2\cdot a\cdot x + b[/tex]
[tex]\frac{d^{2}y}{dx^{2}} = 2\cdot a[/tex]
If we know that [tex]a > 0[/tex], [tex]b = c = 0[/tex], [tex]x = 0[/tex] and [tex]K = 6[/tex], then the equation of curvature and polynomial are, respectively:
[tex]\frac{2\cdot a}{1^{\frac{3}{2} }} = 6[/tex]
[tex]a = 3[/tex]
The equation of a parabola that has a curvature 6 at the origin is [tex]f(x) = 3\cdot x^{2}[/tex].
An equation of a parabola that has curvature 6 at the origin is [tex]\rm f(x) = 3x^2[/tex].
We have to determine
An equation of a parabola that has curvature 6 at the origin.
What is the equation of a parabola that has a curvature at the origin?The equation of a parabola that has a curvature a at the origin is;
[tex]\rm f(x) = ax^2[/tex]
The value of a is given by k(0) = 8;
[tex]\rm k(0) = 2a\\\\6 = 2a\\\\a = \dfrac{6}{2}\\\\a=3[/tex]
Therefore,
The equation of a parabola that has a curvature a at the origin is;
[tex]\rm f(x) = ax^2[/tex]
[tex]\rm f(x) = 3x^2[/tex]
Hence, an equation of a parabola that has curvature 6 at the origin is [tex]\rm f(x) = 3x^2[/tex].
To know more about Parabola click the link given below.
https://brainly.com/question/5913342
Reagan was playing a game where catching a fish gained her 10 points and catching a crab lost her 5 points. She caught two fish and five crabs. What is her total number of points?
Answer:
Step-by-step explanation:
2*10=20
5*5=25
20-25=-5
Her points is -5 because she caught two fish that means its +20 points but she caught 5 crab that means she loss -25 points thats why its -5 (negative 5)
57.6 divided by 9.6 equals?
Answer: 6
Step-by-step explanation: 57.6/9.6=6
Answer:
it equals 6
Step-by-step explanation:
The height of a triangle is increasing at a rate of 3 cm/min while the area of the triangle is increasing at a rate of 11 square cm/min. At what rate is the base of the triangle changing when the height is 5 centimeters and the area is 10 square centimeters
Answer:
2cm/minStep-by-step explanation:
The Area of a triangle is expressed as:
A = 1/2 bh
b is the base of the triangle
h is the height of the triangle
Given
dh/dt = 3cm/min
dA/dt = 11cm²/min
height h = 5cm
Area = 10cm²
Get the base first
10 = 1/2b(5)
20 = 5b
b = 20/5
b = 4cm
Differentiating the area with respect to time
A(b, h) = 1/2 bh
According to product rule
dA/dt = 1/2{b dh/dt + h db/dt}
Substitute the given parameters and get db/dt
11 = 1/2{4(3)+5db/dt}
11 = 1/2{12+5 db/dt}
11 = 6 + 5/2 db/dt
11-6 = 5/2 db/dt
5 = 5/2 db/dt
1 = 1/2 db/dt
cross multiply
2 = db/dt
db/dt = 2cm/min
Hence the rate at which the base of the triangle is changing id 2cm/min
2) Major league baseball salaries averaged $3.26 million with a standard deviation of $1.2 million in a certain year in the past. Suppose a sample of 100 major league players was taken. What was the standard error for the sample mean salary
Answer:
Standard error for the sample = $0.12 million
Step-by-step explanation:
Given:
Mean = $3.26 million
Standard deviation = $1.2 million
Number of sample = 100
Find:
Standard error for the sample
Computation:
Standard error for the sample = Standard deviation / √Number of sample
Standard error for the sample = 1.2 / √100
Standard error for the sample = $0.12 million
Help me !!!! I neeed helppp i hate onlineee schoool
Jatin fell sick on March 12 .He recovered from his illness on 2nd May .How many did he remain sick?
the default operation between a coefficient and a variable is
Answer:
multiplication
Step-by-step explanation:
How do you solve and graph f(x)=3x-6/x+1
Which power has a value greater than 240 and less than 245?
Answer:
242 or 243 or 241 or 244 or any decimals
Determine whether the example is a descriptive or inferential statistic. Give an explanation for your answer.
On April 29, 2020, 42.3% of songs on the Spotify "New Release 2020" playlist had explicit lyrics.
Answer:
The lyrics are explicit because it can be more on the fantasy and metaphoric side. The lyrics barely have real life answers. So, that is why it is explicit.
Step-by-step explanation:
PLS mark me brainliest
Patrick has a credit card with an APR of 15.40% and a billing cycle of 30 days. The following table shows Patrick’s credit card transactions in the month of August.
Date
Amount ($)
Transaction
8/1
1,466.22
Beginning balance
8/6
28.48
Purchase
8/9
150.00
Payment
8/17
115.75
Payment
8/20
40.00
Purchase
8/22
31.76
Purchase
How much greater will Patrick’s August finance charge be if his credit card company computes finance charges using the previous balance method than if it computes finance charges using the adjusted balance method?
a.
$2.44
b.
$3.41
c.
$2.13
d.
$4.69
Answer:
B. $3.41
Step-by-step explanation:
The amount that is greater that Patrick’s August finance charge is: b. $3.41.
What is finance charges?Finance charges can be defined as the way in which a lender is compensated for lending out to a borrower.
Total amount using previous balance method
Total amount=1,466.22+28.48+40+31.76
Total amount=1,566.46
Interest=1566.46×15.40×30/360×1/100
Interest=20.10
Total amount using adjusted balance method
Total amount=1,566.46-150-115.75
Total amount=1,300.71
Interest 1,300.71×15.40×30/360×1/100
Interest=16.69
Difference=20.10-16.69
Difference=$3.41
Inconclusion the amount that is greater that Patrick’s August finance charge is: $3.41.
Learn more about finance charge here:https://brainly.com/question/27004263
All the students in the sixth grade either have pets or do not have pets at home.88%of the students have pets.6 students do not have pets.How many students are in the sixth grade?
Answer:
There are 50 students in the sixth grade.
Step-by-step explanation:
Given that 88% of students have pets which means that only 12% do not have pets. It says that only 6 students do not have pets so we can assume that 12% is equals to 6 students. We have to form an expression for the number of students.
Lets make x = total number of students,
[tex] \frac{12}{100} \times x = 6[/tex]
[tex]x = 6 \div \frac{12}{100} [/tex]
[tex]x = 6 \times \frac{100}{12} [/tex]
[tex]x = 50 \: students[/tex]
What is the probability that the actual weight is within 0.45 g of the prescribed weight? (Round your answer to four decimal places.)
Answer:
hello your question is incomplete attached below is the complete question and solution
The actual tracking weight of a stereo cartridge that is set to track at 3 g on a particular changer can be regarded as a continuous rv X with the following pdf. f(x) = k 1 ? (x ? 3)2 2 ? x ? 4 0 otherwise
answer: 0.6325
Step-by-step explanation:
determine the probability that actual weight is within 0.45 g of the prescribed weight
we have to integrate pdf with : 2.55 to 3.45
Suppose a software company gives Zachary a college grant of $32,000. Zachary puts 85
percent of the grant into a savings account that pays 1.62 percent interest compounded
quarterly. After 3.5 years, how much money will be in his account? Round your answer to the
nearest cent.
How can you use tables and graphs to show equivalent ratios?
Ratio table can help you find equivalent ratios in order to solve problems.
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
Ratio tables show equivalent ratios between two quantities. You can create a ratio table by multiplying (or dividing) both quantities in the ratio by the same value to find an equivalent ratio.
A ratio table can help you find equivalent ratios in order to solve problems.
If a straight line passing through the origin has same ratios or which has same slope at all points.
Hence, ratio table can help you find equivalent ratios in order to solve problems.
To learn more on Ratios click:
https://brainly.com/question/1504221
#SPJ5
3) Write an equation in point-slope form for the line. Slope is -2 and (1, 1) in on the line.
Answer:
[tex]y - 1 = -2(x - 1)[/tex]
Step-by-step explanation:
point slop form is
[tex](y - y1) = m (x - x1)\\x1 = 1\\y1 = 1\\m = -2\\\\Thus,\\(y - 1) = -2 (x - 1)[/tex]
explain why 0.5 is not equal to 1/2
Answer:
Well they are equal so sorry.
Answer: uhh I'm pretty sure they are equal, is it multiple choice?
Step-by-step explanation:
Clare is paid $90 for 5 hours of work. At this rate, how many minutes does it take for her to earn $9?
Answer:
30 minutes
Step-by-step explanation:
Answer:
you divide 90 with 5 and it gives 18
so she gets 18 dollars an hour which if you divide by 2 gives 9
so every 30 min she gets 9 dollars
What is the slope of (1,7) and (8,4)
Hi there & welcome to brainly!
Answer:
[tex] \huge{ \boxed{ \bold{ \tt{ \frac{ - 3}{7} }}}}[/tex]
Step-by-step explanation:
[tex] \text{Let \: the \: points \: be \: A \: and \: B}[/tex]
[tex] \rm{ A(1 \:, 7) \longrightarrow \: (x1 \:, y1)}[/tex]
[tex] \rm{B(8 \:, 4) \longrightarrow \: (x2 \: ,y2)}[/tex]
[tex] \underline{ \text{Finding \: the \: slope \: }} : [/tex]
[tex] \boxed{ \rm{slope = \frac{y2 - y1}{x - x1} }}[/tex]
[tex] \rm{↦slope = \frac{4 - 7}{8 - 1} }[/tex]
Remember!
The positive integers are always added and posses the positive ( + ) sign.The negative integers are always added but posses the negative ( - ) sign.The negative and positive integers are always subtracted but posses the sign of the bigger integer.[tex] \rm{↦ \: slope \: = \boxed{ \frac{ - 3}{7} }}[/tex]
Hope I helped!
Best regards! :D
~[tex] \text{TheAnimeGirl}[/tex]
3. Aimee bought 9.8 meters of Geena satin cloth. One-fifth of the cloth was damaged by rats and the rest was
used to make 7 similar blouses.
A. How much cloth did she use for each blouse?
B. If she sold each blouse for P 178.25, how much money would she receive in all?
Answer:
a, 1.12m
b, P 1257.75
Step-by-step explanation:
A,
9.8m × 4/5 = 7.84m
7.84m ÷ 7 = 1.12m
B,
7 × 178.25 = P1247.75
We are required to find how much cloth she used for each blouse
cloth used for each blouse is 1.12 meters and total cost of 7 blouses is P 1247.75
Total quantity of geena satin bought = 9.8 meters
Quantity damaged by rat = 1/5 of 9.8 meters
= 0.2 × 9.8
= 1.96 meters
Total cloth used for 7 blouse = Total quantity of geena satin bought - Quantity damaged by rat
= 9.8 meters - 1.96 meters
= 7.84 meters
Cloth used for each blouse = Total cloth used for 7 blouse / 7
= 7.84 / 7
= 1.12 meters
Cost of each blouse = P 178.25
Total cost of 7 blouses = P 178.25 × 7
= P 1247.75
Therefore, cloth used for each blouse is 1.12 meters and total cost of 7 blouses is P 1247.75
Read more:
https://brainly.com/question/24797640
A fair die is rolled once. If it lands six, you win $4. However, you lose $1 if it does not land six. Let M denote the amount of money you win. Find the distribution for M. g
Answer:
m : ____ $4 ______ - $1
P(m) : __ 0.167 ____ 0.833
Step-by-step explanation:
Given that:
Fair dice is rolled once;
Winning = $4, if output is 6
If otherwise ; winning = - $1
M = amount of money won :
Distribution of M:
The amount of money won (M) is either :
$4 or - $1
Distribution of M:
Possible outcome : {1, 2, 3, 4, 5, 6}
P(winning $4) = P(rolling a 6)
Probability = number of required / number of total possible outcomes
= 1/ 6
P(losing $1) = P(not rolling a 6)
= 1 - P(rolling a 6)
= 1 - 1 /6
= 5/6
m : ____ $4 ______ - $1
P(m) : __ 0.167 ____ 0.833
If you copy a document on a​ machine, you should get a similar copy. Suppose you want to reduce a document to of its original size and you first reduce it by ​%. By what percent do you need to reduce the copy to obtain the desirable​ size?
Answer:
the numbers are missing, so I looked for a similar question:
If you copy a document on a machine, you should get a similar copy. suppose you want to reduce a document to 1/6 of its original size, and first reduce it by 25%. By what percent do you need to reduce the copy to obtain the desirable size?
You want the copy to be 1/6 of the original size = 16.67%
Since you first reduced the copy by 25%, the image is now 75% of its original size. In order to finally obtain a copy that is 16.67% of the original size, you must reduce this second copy by 1 - (16.67%/75%) = 77.78% ≈ 78%.
we can check our answer:
size of second copy x (1 - reduction)
0.75 x (1 - 0.7778) = 0.1667
If n(A)=26, n(B)=17, and n(A∩B)=∅, then what is n(A∪B)?
Answer:
43
Step-by-step explanation:
its ans may be 43 as A intersection B is 0
What is the length of segment DF?
Answer:
I believe it's 68.
Identify the slope, x-intercept and y-intercept of each line
what is the decimal equivalent of the rational number 5/9
Answer:
0.55555556
Step-by-step explanation:
Write the following comparison as a ratio reduced to lowest terms.
22 feet to 92 yards
Answer:
11:46
Step-by-step explanation:
Divided by 2.