Answer:
122
Step-by-step explanation:
1-Use the sum-product pattern
6x²-11x-10
6x²+4x-15x-10
2-Common factor from the two pairs
6x²+4x-15x-10
2x (3x + 2) - 5 (3x + 2)
3-Rewrite in factored form
2x (3x + 2) - 5 (3x + 2)
(2x-5)(3x+2)
Solution:
(2x-5)(3x+2)
The time taken by Nick to do his statistics homework follows a normal distribution with a mean of 25 minutes and a standard deviation of 5 minutes. Jasmin’s homework time also follows a normal distribution with a mean of 50 minutes and a standard deviation of 10 minutes. They hate each other’s guts and never work together so we can assume that Nick’s homework completion is independent of Jasmine’s homework completion.
a) Define the random variable D to be the difference between the amount of time spent on a randomly selected assignment of Jasmin’s and a randomly selected assignment of Nick’s. So D = N – J. Find the mean and the standard deviation of D.
b) Calculate the probability that Nick spent longer doing his assignment than Jasmin did. Show your method clearly.
Answer:
a) Mean of D = -25
Standard deviation of D = 11.18
b) P(N > J ) = 0.9875
Step-by-step explanation:
Given - μₙ = 25, σₙ = 5 , μₐ = 50 , σₐ = 10
where μₙ is mean of nick and μₐ is mean of jasmine
σₙ = 5 is standard deviation of nick and σₐ is standard deviation of jasmine
To find - a) Define the random variable D to be the difference between the amount of time spent on a randomly selected assignment of Jasmine’s and a randomly selected assignment of Nick’s. So D = N – J. Find the mean and the standard deviation of D.
b) Calculate the probability that Nick spent longer doing his assignment than Jasmine did. Show your method clearly.
Proof -
a)
Mean of D = Mean of nick - Mean of jasmine
= 25 - 50 = -25
standard deviation of D = √Standard deviation of Nick + jasmine
= √5² + 10² = √25 + 100 = √125 = 11.18
∴ we get
Mean of D = -25
Standard deviation of D = 11.18
b)
We have to find - P(N > J)
If N > J , then D > 0
Now,
The z-score is expressed as
z = [tex]\frac{0 - (-25)}{11.18} = \frac{25}{11.18} = 2.24[/tex]
Now,
P(N>J) = P (D > 0) = P(Z < 2.24)
= 0.9875
⇒P(N > J ) = 0.9875
A circular placemat has 44 inches of braid around the edge. What is the area of the placemat to the nearest square inch? Use 3.14 for π.
Answer:
153.86 in^3
Step-by-step explanation:
Given data
A circular placemat has 44 inches of braid around the edge
hence the circumference of the placemat is 44 in
C= 2πr
44= 2*3.14r
r= 44/2*3.14
r= 44/6.28
r= 7.00 in
Area= πr^2
Area= 3.14*7^2
Area= 3.14*49
Area= 153.86 in^3
Hence the area is 153.86 in^3
Solve the following system of equation express answer as a order pair 2x+5y=16 -5x-2y=2
Answer:
7y=11x-2y=2
7y-2y=2-12x
5y=9x
y=9x÷5
y=45ans
Step-by-step explanation:
have a nice day!
What is the solution to the equation?
Answer:
32.13
Step-by-step explanation:
g = 15.3 x 2.1 = 32.13
Answer:
g= 15.3 *2.1= 32.13
Hence answer is 32.13
Rudolfo wants to save his allowance in his own bank account. Given that his principal amount ₱20 000 with 1.5% monthly interest rate. How much will Rudolfo receive on the second month of his investment? *
A. ₱20,300.00
B. ₱20,500.00
C. ₱20,600.00
D. ₱20,800.00.
Answer:
Step-by-step explanation:
P = 20,000
R= 1.5
T= 2 years
A = P(1+ R/100) ^ n
Fine floors can install 15 square yards of carpeting in 4 hours and 30 minutes. At this rate, how long would it take to install carpet in a room that measures 11 feet 9 inches by 13 feet 4 inches?
Answer:
5 hours and 13 minutes
Step-by-step explanation:
Hope this helps!! Please mark brainlliest.
To assemble a product you stack 0.10 Inch of foam, 1/4 Inch ofmetal, 1/2 inch of wood and 0.1 inch of fabric. How thick is the
stack?
Answer:
3 INCHES THICK
Step-by-step explanation:
You are charged $9.2 in total for a meal. Assuming that the local sales tax is 7.7%, what was the menu price of this item?
Answer:
9.91
Step-by-step explanation:
can someone help :(!
Answer:
452.16 I'm pretty sure..
Answer:
A=452.16 mm
Step-by-step explanation:
A=πr^2
A=π12^2
A=π144
A=452.16 mm
For the given functions f and g, find the requested composite function value.
f(x) = x - 8
x , g(x) = x2 + 6; Find ( g H f)(-2).
Answer:
106
Step-by-step explanation:
Composite function:
A composite function is represented by:
[tex](g \circ f)(x) = g(f(x))[/tex]
In this question:
[tex]f(x) = x - 8[/tex]
[tex]g(x) = x^2 + 6[/tex]
[tex](g \circ f)(x) = g(f(x)) = g(x-8) = (x-8)^2 + 6[/tex]
Find ( gof)(-2).
When x = -2. So
[tex](g \circ f)(-2) = (-2-8)^2 + 6 = (-10)^2 + 6 = 100 + 6 = 106[/tex]
The answer is 106.
2 3/15 rounded to the nearest half
Hi there!
Answer:
2.5/5
Step By Step Explanation:
Given function:
2 3/153/15=1/51/5=nearest half=2.5/5Therefore, 2 3/15 rounded to the nearest half is 2.5/5.
Answer:
2
Step-by-step explanation:
:)
Factor Completely:::
Answer:
6x²+27x+24
3(2x²-9x+8)
Help asaaaaaap guys
Answer:
-3.5,-3,-2 1/2,-2,2.5
Step-by-step explanation:
Least. Greatest
-3.5, -3, -2 1/2, -2, 2.5
Find the perimeter of the shape on this centimetre grid.
Answer:
the perimeter is 16
Step-by-step explanation:
The computation of the shape on this centimeter grid is shown below:
As we can see in the attached figure that the some portion is highlighted
So if we count that
like
So after counting it comes 16
Therefore the perimeter is 16
PLEASE HELP! INVERSE QUESTION!
Last one.
Hope this helps.
please help its practice i really need it
Answer:
1/5
Step-by-step explanation:
Make x the subject of the formula a = b x + c
Answer:
[tex] x = \frac{a - c}{b}[/tex]
Step-by-step explanation:
[tex]a = bx + c \\ \\ a - c = bx \\ \\ \orange{ \bold{x = \frac{a - c}{b}}} [/tex]
2) 1) A 6 ft tall lawn ornament standing next to a baby elephant casts a 18 ft shadow. If the baby elephant casts a shadow that is 12 ft long, then how tall is it?
Answer: 4 feet.
Step-by-step explanation:
Proportion from lawn ornament to its shadow = 6ft : 18ft = 1 : 3
Proportion from baby elephant to its shadow = x : 12ft
These proportions have to be equal, because if it is the same time of day, the different object's shadows will have the same proportions.
In order to solve this problem, we need to cross multiply. (Attached image)
So, 3x = 12.
By solving this equation, we find that x = 4
The height of the baby elephant is 4 feet.
I am not a professional, simply using prior knowledge!
Note- It would mean the world to me if you could mark me brainliest!
Kelsey uses the similarity statement Triangle R S T is similar to triangle R U V to describe the triangles below.
Triangle R U V. Side V R is 4 centimeters, R U is 1.5 centimeters, and V U is 2.7 centimeters. Triangle R S T. Side R S is 3.0 centimeters, R T is 8.0 centimeters, and S T is 5.4 centimeters.
Which best describes the accuracy of her statement?
Accurate. Each pair of sides corresponds with a common ratio of 2.
Accurate. The description of each triangle begins at the same vertex.
Inaccurate. In the order listed, the ratio between each pair of sides is different.
Inaccurate. The description of the triangles in the similarity statement moves clockwise in one triangle and counterclockwise in the other triangle.
Answer:
A
Accurate. Each pair of sides corresponds with a common ratio of 2.
Step-by-step explanation:
edge 2021
Each pair of sides corresponds with a common ratio of 2. The correct option is A.
What is the similarity?If two objects are having the same shape then they will be termed as similar. So in mathematics, if two figures have the same shapes, lines or angles then they are called similar.
If two figures have three sides similar then they will be similar by side-by-side property which is written as SSS.
Given that Triangle R U V. Side V R is 4 centimetres, R U is 1.5 centimetres, and V U is 2.7 centimetres. Triangle R S T. Side R S is 3.0 centimetres, R T is 8.0 centimetres, and S T is 5.4 centimetres.
The two triangles have a common ratio of 2.
R U = 1.5 cm
R S = 3.0 cm
V R = 4 cm
R T = 8.0 cm
The correct option is A.
To know more about similarities follow
https://brainly.com/question/24184322
#SPJ6
please answer this correctly,thank you!
Answer:
First option
Step-by-step explanation:
-4,-3,-2,-1
what is the value of 1/3x squared + 5.2y when x=3 and Y=2
Answer:
13.4
Step-by-step explanation:
1/3(3²) + 5.2(2) = 3 + 10.4
A bookstore carries 70 magazines. 70% of the magazines are women's magazines. How
many women's magazines does the bookstore carry?
Answer:
49
Step-by-step explanation:
70% of 70 = 0.7 × 70 = 49
The first step in analyzing a transaction is to determine:
O A. if the account balance will increase or decrease.
OB. the accounts that are involved.
O C. the type of accounts that are involved.
OD. which accounts are to be debited and credited.
Answer:
B. the accounts that are involved.
Step-by-step explanation:
Financial accounting is an accounting technique used for analyzing, summarizing and reporting of financial transactions like sales costs, purchase costs, payables and receivables of an organization using standard financial guidelines such as Generally Accepted Accounting Principles (GAAP). Examples of financial statements includes Balance sheet, cash-flow and income statement.
On the other hand, managerial accounting also known as cost accounting is an accounting technique focused on identification, measurement, analyzing, interpretation, and communication of financial information to managers for better decisions making and pursuit of the organization's goals.
The first step in analyzing a transaction is to determine the accounts that are involved. Since a company would have more than one transaction type, it is very important to determine what account is involved in the transaction process such as sales, purchase of inventory, payment of employee salaries and other types of expenses.
If the points on a graph of a linear function are (-2,10 (0,4) (2,-2) and (4,8) what is the y-intercept
Answer:
i think 5
Step-by-step explanation:
Five and nine thousandths as a decimal
Answer:
5.009
Step-by-step explanation:
5.009
/\
1000th
Answer:
5.009 is the ans. did u got it
Why is California at higher risk for earthquakes than North Dakota
( Also i know this isnt math but people answer faster when its in math )
Answer:
Step-by-step explanation:
Because calfornia is right next to Ocean
Mrs. Melanie Lazo pays Php 15.75 for each hair clip to its supplier. She decided to adds markup of Php 3.15. What is the markup rate?
Answer:
the answer to the problem is 20.8%
how to figure the surface area
Answer:
i donk know about this sooooooo sorry
Step-by-step explanation:
jjzkz
Help me plz!!!! I need this by today...if right will mark brainliest!
Answer:
i cant read it sideways
Step-by-step explanation:
What percent of 30 is 24
Answer:
80%
Step-by-step explanation:
Answer:
80
Step-by-step explanation:
*you can use calculator to divide
