solve the system x-y=5 and 4x-5y+17
Answer:
Step-by-step explanation:
x = 3
7=2
3-2=5
slope is 4/5
Sociologists say that 85% of married women claim that their husband's mother is the biggest bone of contention in their marriages (sex and money are lower-rated areas of contention). Suppose that six married women are having coffee together one morning. Find the following probabilities. (Round your answers to three decimal places.)
(a) All of them dislike their mother-in-law.
Incorrect: Your answer is incorrect.
(b) None of them dislike their mother-in-law.
(c) At least four of them dislike their mother-in-law.
(d) No more than three of them dislike their mother-in-law.
The probability is equal to 0.9788.
We have given that,
Sociologists say that 85% of married women claim that their husband's mother is the biggest bone of contention in their marriages (sex and money are lower-rated areas of contention). Suppose that six married women are having coffee together one morning.
We have to find the probability
Probability all dislike is
[tex]0.85^8= 0.27[/tex]
What is the probability?Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates the impossibility of the event and 1 indicates certainty.
The probability that none dislike is,
[tex]0.15^8= 2.6 \times 10^{(-7)}[/tex]
At least 5 dislike
5 dislike 8C5
[tex](0.85)^5(0.15)^3= 0.0839[/tex]
6 dislike 8C6
[tex](0.85^6 0.15)^2= 0.2376[/tex]
7 dislike
[tex]8*(0.85^7) (0.15)=0.3848[/tex]
8 dislike
[tex]0.85^8= 0.2725[/tex]
Therefore the probability is equal to 0.9788.
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George has steak and chicken in the freezer. The temperature of the steak is -5.7°C, and the temperature of the chicken is -5.7°C. Which of the following is true?
A.
steak's temperature < chicken's temperature
B.
steak's temperature > chicken's temperature
C.
steak's temperature = chicken's temperature
Answer: The answer is steak's temperature = chicken's temperature since they are both -5.7°C
A class of 40 students took a test 20 students had an average score of 65. the other students had an average score of 52. what is the average score of the whole class?
At a health club, 28% of the members are men, the rest are women. If the average man is 33 years old, and the average woman is 38 years old, what is the average age of all the members?
Answer:
One: 58.5
Two 36.6
Step-by-step explanation:
One
20 students * 65 = 1300 This is the total score of all 20 students. They may not all get 65, but 1300 is what their average total is.
20 students * 52 = 1040
The total score of all 40 students was 1300 + 1040 = 2340
The average for the entire class was 2340 / 40 = 58.5
Two
This question is done almost the same way.
Supposes the total number of members is 100. That means that 28 of them are men
28 * 33 = 924 This is the total age for the men
100 - 28 = 72 Out of 100, 72 of the people there are women.
72 * 38 = 2736
The total number of years of all of the members is
924 + 2736 = 3660
The average age of all members is 3660/100 = 36.6
Why did I pick 100 as the total membership? It is because a percentage is number out of 100. Am I allowed to invent things like that? Sure. I'm just using the definition of a percentage.
The average will make it come out the same.
Today eight friends went for lunch there total bill was $34.56, including tax. One of them ordered always soda and needed to pay only $1.94. The other seven friends or the same daily special. How much did each of the other friends need to pay?
Answer:4,66
Step-by-step explanation: first , we subtracted 1 people . 34,56 - 1,94 = 32,62 . then we divided for seven people . we have : 32,62 : 7 = 4,66 each person
Problem Solving REAL WORLD 1. James got 3 hits in each of his baseball games. He has played 4 baseball games. How many hits has he had in all?
Find the area of the surface.
The part of the sphere
x2 + y2 + z2 = 81
that lies above the plane
z = 4.
Parameterize this surface by
r (u, v) = 9 cos(u) sin(v) i + 9 sin(u) sin(v) j + 9 cos(v) k
with 0 ≤ u ≤ 2π and 0 ≤ v ≤ arccos(4/9)
See the attached sketch to see how we arrive at the upper limit for v.
Take the normal vector to the surface to be
n = ∂r/∂u × ∂r/∂v
n = -81 cos(u) sin²(v) i - 81 sin(u) sin²(v) j - 81 sin(v) cos(v) k
which has magnitude
||n|| = 81 sin(v)
Then the surface area is
[tex]\displaystyle \iint_S \|\mathbf n\| \,\mathrm du\,\mathrm dv = 81 \int_0^{2\pi} \int_0^{\arccos(4/9)} \sin(v)\,\mathrm dv\,\mathrm du \\\\ = 162\pi \int_0^{\arccos(4/9)} \sin(v)\,\mathrm dv \\\\ = -162\pi (\cos\left(\arccos\left(\frac49\right) - \cos(0)\right) \\\\ = 162\pi \left(1 - \dfrac49\right) \\\\ = \boxed{90\pi}[/tex]
If you're not familiar with surface integrals, you can instead use what's sometimes called the projection method. Let
z = f(x, y) = √(81 - x ² - y ²)
(where we take the positive square root because we're looking at a part of the top half of the sphere)
Projecting the surface down onto the (x, y)-plane, we see that it casts a "shadow" of a disk with radius √(9² - 4²) = √65. (Use the Pythagorean theorem to solve for the missing side of the triangle in the sketch.)
Then the surface S considered above is hovering over the set in the (x, y)-plane,
D = {(x, y) : x ² + y ² ≤ 65}
The area is then
[tex]\displaystyle \iint_D \sqrt{1 + \left(\dfrac{\partial f}{\partial x}\right)^2 + \left(\dfrac{\partial f}{\partial y}\right)^2} \,\mathrm dx\,\mathrm dy[/tex]
It's easier to compute this integral in polar coordinates, so we take
x = r cos(t )
y = r sin(t )
dx dy = r dr dt
and the region D is given by the set
{(r, t ) : 0 ≤ r ≤ √65 and 0 ≤ t ≤ 2π}
Then the integral would be
[tex]\displaystyle \iint_D \sqrt{1 + \left(\dfrac{\partial f}{\partial x}\right)^2 + \left(\dfrac{\partial f}{\partial y}\right)^2} \,\mathrm dx\,\mathrm dy = \iint_D \sqrt{1 + \frac{x^2+y^2}{81-x^2-y^2}}\,\mathrm dx\,\mathrm dy \\\\ = \iint_D \sqrt{\frac{81}{81-x^2-y^2}}\,\mathrm dx\,\mathrm dy \\\\ = \int_0^{2\pi} \int_0^{\sqrt{65}} r \sqrt{\frac{81}{81-r^2}}\,\mathrm dr\,\mathrm dt[/tex]
Substitute s = 81 - r ² and ds = -2r dr :
[tex]\displaystyle \int_0^{2\pi} \int_0^{\sqrt{65}} r \sqrt{\frac{81}{81-r^2}}\,\mathrm dr\,\mathrm dt = 2\pi \int_0^{\sqrt{65}} r \sqrt{\frac{81}{81-r^2}}\,\mathrm dr \\\\ = -9\pi \int_{81}^{16} \frac{\mathrm ds}{\sqrt s} \\\\ = 9\pi \int_{16}^{81} s^{-1/2}\,\mathrm ds \\\\ = 18\pi \left(\sqrt{81} - \sqrt{16}\right) \\\\ = \boxed{90\pi}[/tex]
What is the answer to these questions?
Answer:
1) 8 3/5
2) Option 3
i need you to explain the answer please and thank you!!
Answer: January, because negative numbers are positive numbers' opposite; so -11.4 < -10.4
What is the hypotenuse? 68km 51km c
Answer:
85 km
Step-by-step explanation:
[tex]68^{2} +51^{2} =c^{2}[/tex]
4,624+2,601 = [tex]c^{2}[/tex]
7,225 =[tex]c^{2}[/tex]
Square both side and you get your answer 85km
Evelyn swimming pool requires 3 quarts of a bacterial cleaning agent five times a month how many gallons of this agent will Evelyn use during June July August?
Answer:
180 litres
Step-by-step explanation:
Quart: 1.1 litre
3 quarts used every 1 time its cleaned
cleaned 5 times 1 month
5 x 3=15
12 months in a year 15 x 12 = 180
calculate the value of x and y
Answer:
How
Step-by-step explanation:
You want to put picture in
Light travels at a speed of $1.9\ \times\ 10^5$ miles per second. How far, in miles, does light travel in $30$ seconds?
9514 1404 393
Answer:
5.7×10^6 mi
Step-by-step explanation:
(1.9×10^5 mi/s) × (3.0×10^1 s) = 5.7×10^6 mi
_____
Additional comment
When I can see that the product will have a mantissa that has a value greater than 10 or less than 1, I like to adjust the factors so the mantissa of the product comes out in the range 1-10. Here, we could adjust 1.9 to 0.19, or 30 to 3.0. We chose the latter.
Moving the decimal point of 30.0 1 place to the left means we increase the corresponding exponent by 1 (from 0 to 1). 30.0×10^0 = 3.00×10^1
The radius is 7. Find the circumference of p. Leave your answer in terms of pi.
Answer:
Step-by-step explanation:
Hi there!
According to the question;
radius (r) = 7
We know,
Circumference (c) = 2πr
= 2π * 7
= 14π
Therefore the circumference of p is 14π.
Hope it helps!
Answer:
C.
Step-by-step explanation:
Help help please please
Step-by-step explanation:
s=9×8/6
s=12.
hope this helps you.
Answer: 12
Step-by-step explanation:
using ratio;
[tex]\frac{6}{9}=\frac{8}{x}[/tex]
[tex]\frac{2}{3}=\frac{8}{x}[/tex]
[tex]x=\frac{(8)(3)}{2}[/tex]
[tex]x=\frac{24}{2}[/tex]
[tex]x=12[/tex]
please give me a brainliest answer
burberry men's watch cost $425 markup 200% dollar markp selling price
Cost $425.00
Markup 200 %
Revenue $1,275
Profit $850
To find markup percentage, businesses use the markup percentage formula:
Markup Percentage = (Markup / Cost) x 100% Determine markup. Markup is the difference between selling price and cost:
Markup = Selling Price - Cost. Divide markup by cost. ...
Markup Percentage = (Markup / Cost) Convert to a percentage.
8 × 4/8 =
patulong po
Answer:
4
Step-by-step explanation:
the answer is 4
yep it is because eight cancels out with the other one
Answer:
(8 × 4)/8
so answer=4
Find the area of this rectangle.
Write your answers in simplest form.
Answer:
7 1/7 square mm
Step-by-step explanation:
Convert the two mixed numbers into improper fractions ( 3 1/3= 10/3 and 2 1/7= 15/7) and multiply, which gives the answer as 50/7, and then, convert them into mixed numbers again, which is 7 1/7 square mm.
(01.02 MC)The number line shows the distance in meters of two jellyfish, A and B, from a predator located at point X:
Write an expression using subtraction to find the distance between the two jellyfish. (5 points)
Show your work and solve for the distance using additive inverses. (5 points)
not 100% sure since you didnt show us an image
we change this number 1.5=15/10=3/1 and 0.5=5/10=1/2
it will show on the number line!
The expression using subtraction to find the distance between the two jellyfish is 0.5 - (-1.5).
The distance between the two Jellyfish is 2.
We have,
The point of A on the number line: -1.5
The point of B on the number line: 0.5
Now,
To find the distance between the two jellyfish.
= B - A
= 0.5 - (-1.5)
= 0.5 + 1.5
= 2
Thus,
The expression using subtraction to find the distance between the two jellyfish is 0.5 - (-1.5).
The distance between the two Jellyfish is 2.
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Solve x/2- 8 = y for x. A. x= 1/2y
Answer:
x = 2y + 16Step-by-step explanation:
Given equation:
x/2 - 8 = ySolve for x:
x/2 = y + 8 ⇒ add 8 to both sidesx = 2y + 16 ⇒ multiple both sides by 2____________
[tex] \: [/tex]
[tex] \frac{x}{2 - 8} = y[/tex]
[tex] \frac{x}{2} = y + 8[/tex]
[tex]x = \bold{2y + 16}[/tex]
State the slope for the equation.
y=5x+8
Enter you answer in the box.
Slope: m=
Answer:
Step-by-step explanation:
The y-intercept of the equation is -8.
You can test this by making X = 0 and solving algebraically. Similarly, if you make y = 0, you can solve the X value. This means X = 8/5
Co-ordinates (8/5, -8)
Let A = {x : 2x² + 3x - 2 = 0} and B = {x : x² + 3x - 4 = 0 } find (A U B) × (A Π B)
Given :
A = {x: 2x² + 3x - 2 = 0 } B = {x : x² + 3x - 4 = 0 }To find :
(A U B ) × (A Π B )Solution :-
The first set is ,
A ={x : 2x² + 3x - 2 = 0}Solving the Quadratic equation ,
2x² + 3x - 2 = 0 2x² + 4x - x - 2 = 0 2x( x + 2) -1( x + 2 ) = 0(2x -1) ( x + 2) = 0 x = 0.5 , -2Hence ,
A ={0.5, -2}The second set is ,
B ={ x :x² + 3x - 4 = 0 }Solving the Quadratic equation ,
x² + 3x - 4 = 0 x² + 4x - x - 4 = 0 x( x + 4)-1 ( x +4) = 0 (x + 4) ( x -1) = 0 x = 1 , -4Hence ,
B ={1,4}Now ,
A U B = { 0.5 , 1 , 4 , -2} A Π B = {∅ }Since AΠ B is a null set , hence ,
A × B = {∅}7 and a number equals 21
Answer:
7x3=21
Step-by-step explanation:
7+7+7=21, 7x3=21
What is this answer
Answer:
2^3 + 5^2 = 34
7^2 - 3^3 = 22
8^2 + (square root) 100 = 74
Step-by-step explanation:
Hope this helps! Lol I couldn't find the square root symbol.
solve pls brainliest
Answer:
36-9w or -9w+36
Step-by-step explanation:
Distributive Property - a(b-c) = ab-ac
Using that, we have-
9(4-w) = 9(4) - 9(w) = 36-9w
Answer = 36-9w or -9w+36
Thank you! Please Mark Brainliest! :)
Answer:
36-9w
Step-by-step explanation:
9*4=36
9*w=9w
36-9w
1/12 * n^3 =
how do you multiply these together
Answer:
(n^3)/12
Step-by-step explanation:
1/12 * n^3
= (n^3)/12
Answer:
[tex]\sqrt[3]{\frac{1}{12} }[/tex] * n
Step-by-step explanation:
You want to get the n alone. In order to do that, you need to get rid of the 3rd power. The opposite of a power is a radical. So do:
[tex]\sqrt[3]{\frac{1}{12} }[/tex] * [tex]\sqrt[3]{n^3}[/tex]
This cancels out the n and turns the problem into:
[tex]\sqrt[3]{\frac{1}{12} }[/tex] * [tex]n[/tex]
I can't solve for n since I haven't been given the entire problem (what they're equal to), but you can solve for [tex]\sqrt[3]{\frac{1}{12} }[/tex].
Help help please please
Step-by-step explanation:
=2(20)+2(14)
=2⋅20+2(14)
=40+2(14)
=40+2⋅14
=40+28
=40+28
=68
Answer:
P = 68Step-by-step explanation:
P = 2L + 2W
P = 2(20) + 2(14)
P = 40 + 28
P = 68//
Given g(x) = 2x + 5, find g(1).
Step-by-step explanation:
The value of g is already given. Replace g by 1 and find the value of x which is a negative two. After that, substitute and find that g is indeed equal to 1.
thankyou
what is the answer for 4|x+7|=16
Answer:
-3
Step-by-step explanation:
hope it helps
"8% of a number is 20."
Answer: 250
Step-by-step explanation: