The probability of a random student who is from Washington and studies history is [tex]\frac{5}{33}[/tex].
What is probability?Probability is the chance of happening an incident or event. A probability is calculated by the ratio of the possible outcomes to total number of outcomes.
Given, the total number of students of History
= (30 + 17 + 20 + 32 + 33) = 132
The number of students from Washington who studies history = 20.
Therefore, the probability that the student is from the state of Washington under the condition that the student studies history is = [tex]\frac{20}{132} = \frac{5}{33}[/tex] .
Learn more about probability here: brainly.com/question/13091679
#SPJ2
9. Which of the following equations has NO solution?
A. a + 2 = a + 2
B. a = -a + 2
C. a + 2 = a - 2
D. a + a = 2
Answer:
C. a +2 = a - 2
Step-by-step explanation:
a + 2 = a - 2
a + 4 = a
4 = 0
YALLLLL PLEASE HELP MEEEEEEEEEEEEEEE I WIIIL MAKR BRANLIEST IF CORRECT!!!!!!!!
Write an equation in slope intercept whose slope is 5 and y intercept is -3
Answer:
y=5x-3
Step-by-step explanation:
it just is
Answer:
y=5x-3
Step-by-step explanation:
Butch wanted to buy a book about football. The book was $25.00 new. His friend Jake
told him to check the used book store. The book was $15.00 used. What percentage
was the book marked down?
OA
60%
О В.
40%
O C.
33%
OD.
25%
Answer:
B) 40%
10 is 40% of 25.
Answer:
40%
Step-by-step explanation:
Use the method of lagrange multipliers to find
a. The minimum value of x+y, subject to the constraints xy=196, x>0, y>0
b. The maximum value of xy, subject to the constaint of x+y=196
Answer:
a) The function is: f(x, y) = x + y.
The constraint is: x*y = 196.
Remember that we must write the constraint as:
g(x, y) = x*y - 196 = 0
Then we have:
L(x, y, λ) = f(x, y) + λ*g(x, y)
L(x, y, λ) = x + y + λ*(x*y - 196)
Now, let's compute the partial derivations, those must be zero.
dL/dx = λ*y + 1
dL/dy = λ*x + 1
dL/dλ = (x*y - 196)
Those must be equal to zero, then we have a system of equations:
λ*y + 1 = 0
λ*x + 1 = 0
(x*y - 196) = 0
Let's solve this, in the first equation we can isolate λ to get:
λ = -1/y
Now we can replace this in the second equation and get;
-x/y + 1 = 0
Now let's isolate x.
x = y
Now we can replace this in the last equation, and we will get:
(x*x - 196) = 0
x^2 = 196
x = √196 = 14
then the minimum will be:
x + y = x + x = 14 + 14 = 28.
b) Now we have:
f(x) = x*y
g(x) = x + y - 196
Let's do the same as before:
L(x, y, λ) = f(x, y) + λ*g(x, y)
L(x, y, λ) = x*y + λ*(x + y - 196)
Now let's do the derivations:
dL/dx = y + λ
dL/dy = x + λ
dL/dλ = x + y - 196
Now we have the system of equations:
y + λ = 0
x + λ = 0
x + y - 196 = 0
To solve it, we can isolate lambda in the first equation to get:
λ = -y
Now we can replace this in the second equation:
x - y = 0
Now we can isolate x:
x = y
now we can replace that in the last equation
y + y - 196 = 0
2*y - 196 = 0
2*y = 196
y = 196/2 = 98
The maximum will be:
x*y = y*y = 98*98 = 9,604
Please answer fast !!!!!!
Look at the picture
Answer:
< EAC = 31 (small angle of blue triangle)
< BCA = 31 (small angle of green triangle)
< ABC = 104 (big angle of green triangle)
< BDC = 45 (yellow triangle)
< BDF = 135 (outside yellow triangle)
< AEG = 76 (outside blue triangle)
A department store buys 500 shirts at a cost of $4000 and sells them at a selling price of $10 each. Find the percent markup.
9514 1404 393
Answer:
25%
Step-by-step explanation:
The markup is the difference between the selling price and the cost price.
markup = (500)($10) - $4000 = $1000
Then the percent markup of the cost price is ...
markup/(cost price) = $1000/$4000 × 100% = 25%
The percentage markup was 25%.
A manufacturer of women’s blouses has noticed that 80% of their blouses have no flaws, 15% have one flaw, and 5% have two flaws. If you buy a new blouse from this manufacturer, the expected number of flaws will be:_________
a. 0.15
b. 0.20
c. 0.80
d. 1.00
e. none of the above
Answer:
b
Step-by-step explanation:
80% +15% +5%=100
15/100= 0.15
5/100= 0.05
therfore
0.15 + 0.05 = number of flaws
=0.20
Based on the flaws that the manufacturer notices, we can infer that the expected number of flaws will be 0.25 which is e. none of the above.
The expected number of flaws is a weighted average of the percentages that have flaws:
=∑ (Percentage of flaws x Number of flaws)
The expected number of flaws is therefore:
= (80% x 0) + (15% x 1) + (5% x 2)
= 15% + 10%
= 0.25
In conclusion, you would expected the number of flaws to be 0.25.
Find out more at https://brainly.com/question/13412627.
if the endpoints of AB are A(-2,3) and B(1,8), which shows the correct way to determine the coordinates of point C,
the midpoint of AB?
Answer:
(-1/2 , 5/2)
Step-by-step explanation:
=(-2+1)/2,(-3+8)/2
=(-1/2 , 5/2)
126×(−55)+126×5 STEP explanation
PLZ Help Urgent. 15 POINTS, BRAINLY Guaranteed.
Plz Answer honestly or you will be reported.
Multiply.
15 ⋅ 1/3
1/45
1/5
5
45
Answer:
5
Step-by-step explanation:
[tex]\frac{15}{1}[/tex] multiplied by [tex]\frac{1}{3}[/tex]
which makes: [tex]\frac{15}{3}[/tex]
simplify: 5
Name a positive or negative number to represent each situation.
1. depositing $85 in a bank account ____
Answer:
Postive 85
Step-by-step explanation:
A deposit is a financial term that means money held at a bank. A deposit is a transaction involving a transfer of money to another party for safekeeping. However, a deposit can refer to a portion of money used as security or collateral for the delivery of a good.
Answer: The answer is positive!
Step-by-step explanation: I have my ways ;>
A radius of 8.5m what is the area
Answer:
22/7 * 8.5 * 8.5 = answer
Answer:
Step-by-step explanation:
A = π r² ≈ 3.14 × (8.5)² = 226.865 m²
Use a mutiplication strategy to solve 12x12.
Answer:
144
Step-by-step explanation: Hope this helps
Answer:
144
Step-by-step explanation:
y = 3x - 12x +9
In standard form?
Answer:
y=-9x+9
Step-by-step explanation:
There are only two like terms in the equation which I have underlined.
y= 3x - 12x +9
To simplify it, you combine the like terms and get your equation in standard form.
Use algebra to find the value of x in the triangle below. Notice the measurement of the angle is not necessarily the same as the value of x.
X =
2x
х
7x
Answer:
X = 18
Step-by-step explanation:
the sum of each angle should be 180°, so if you add them all together should give you 180° and from there you change the value for x, and you find each angle.
2x + x + 7x = 180
10x = 180
x = 18
2*18 = 36°
18°
7*18 = 126°
an object Travels hundred meters in 10 seconds and then another 200 meters in 5 seconds what is the average speed of the object
Answer:
I think ur and is 50 m/ s.
answer is 5m/s that is the answer
Step-by-step explanation:
200 ÷ 5 = 20
100 ÷ 10 = 10
4^4÷4^7 as a fraction
Answer: multiply it by the bisector of the photosynthesis.
obviously
Step-by-step explanation:
please help this question is very difficult ................
Answer:
[tex]\lim _{x\to \:0}\left(\frac{\sqrt{1+x}+\left(1+x\right)^7-2}{7}\right)\\\\\frac{\sqrt{1+0}+\left(1+0\right)^7-2}{7}\\\\then\ simplify\\=0[/tex]
Step-by-step explanation:
PLEASE HALP IM TIMES
Answer:
1,3,4
Step-by-step explanation:
What is 31; can vary by 7% ?
9514 1404 393
Answer:
28.83 ≤ x ≤ 33.17
Step-by-step explanation:
7% of 31 is ...
0.07 × 31 = 2.17
When we say the value can vary from 31 by 7%, we usually mean it can go that much lower or higher. For some value x, this means ...
31 -2.17 ≤ x ≤ 31 +2.17
28.83 ≤ x ≤ 33.17
the length of a triangle is 3 centimeters less than twice its width its area is 35 square centimeters find the dimensions of the rectangle use formula area=length*width the width is ?_ the Length is?_
[tex] \LARGE{ \underline{ \tt{Required \: answer:}}}[/tex]
We have:
The length of a triangle is 3 centimeters less than twice its width.Area = 35 cm²We need to find:
Dimensions of the rectangle?Solution:
Let the width be w. Then the length would be:
➝ Length = 2(width) - 3
➝ l = 2w - 3
Area of rectangle: l × b
➝ Length × width = 35 cm²
➝ (2w - 3)w = 35
➝ 2w² - 3w - 35 = 0
Now finding value of x by middle term factorisation,
➝ 2w² - 10w + 7w - 35 = 0
➝ 2w(w - 5) + 7(w - 5) = 0
➝ (2w + 7)(w - 5) = 0
Hence,
w = 5 because width can't be negative.l = 2(5) - 3 = 7Therefore,
Width = 5 cmLength = 7 cm⛱️ [tex] \large{ \blue{ \bf{FadedElla}}}[/tex]
let x represent the rectangle's width;
thus;
Width = x
Length = 2x - 3
Area = 35 sq. cm.
Area = Length × Width
35 = (2x - 3)(x)
35 = 2x^2 - 3x
2x^2 - 3x - 35 = 0
Factorizing:
x = 5 or -3.5
but width is a scalar quantity and cannot be negative:
Hence:
Width = 5 cm.
Length = 2(5) - 3 = 7 cm.
6x = 41
x = 7 to the nearest whole number.
Width = 7 cm.
Length = 2(7) - 3 = 11 cm.
What is 7y + 15 - 7y - 8?
Answer:
7
Step-by-step explanation:
7y + 15 - 7y - 8
15 - 8
7
Answer:
7
Step-by-step explanation:
Maricopa's Success scholarship fund receives a gift of $ 75000. The money is invested in stocks,
bonds, and CDs. CDs pay 2.25 % interest, bonds pay 4.4 % interest, and stocks pay 6.5 % interest.
Maricopa Success invests $ 30000 more in bonds than in CDs. If the annual income from the
investments is $ 3610, how much was invested in each account?
Maricopa Success invested $___in stocks.
in bonds.
Maricopa Success invested $___ in bonds.
Maricopa Success invested $____in CDs.
Answer:
Maricopa's Success invests $25,000 in stocks, $40,000 in bonds, and $10,000 in CDs.
Step-by-step explanation:
a = Stocks
b = Bonds
c = CDs
a + b + c = 75000
b = 30000 + c
a = 75000 - c - 30000 - c = 45000 - 2c
0.065(45000 - 2c) + 0.044(30000 + c) + 0.0225c = 3610
2925 - 0.13c + 1320 + 0.044c + 0.0225c = 3610
0.0635c = 635
c = 10000
So b = 40000 and a = 25000
What is an equation in point-slope form of the line that passes through (-7, 1) and (-3, 9)?
A. y+ 3 = 2(x - 9)
B. y- 3 = 2(x + 9)
C. y + 9 = 2(X - 3)
D. y- 9 = 2(X + 8)
Answer:
Step-by-step explanation:
y+3=2(x-9)
Find the quotient:
7/8
Answer:
c.) 2 1/3
Step-by-step explanation:
i know
(I'LL BE GIVING BRAINLIEST AND EXTRA POINTS TO WHO EVER HELPS ME!! :D)
Terri buys five and seven eighths ounces of chocolate chips. She uses four and four sixths ounces in a recipe. How many ounces of chocolate chips does she have left?
A) one and ten forty eighths ounces
B) one and three fourteenths ounces
C) two and ten forty eighths ounces
D) two and three fourteenths ounces
(Here is an image if needed) :
PROBABILTY- Could you help me please?
Answer:
I think the answer is (c) 3
f(x)=-3x2 + 2x - 7 f(-1)=
Answer: I hope I’m not too late, but the answer is A.) 12
Step-by-step explanation:
For f(x) =1/x^2-3
find:
(a) f(3) (3 points)
(b) f(2+h) (3 points)
Answer:
[tex]f(3) = \frac{-26}{9}[/tex]
[tex]f(2 + h) = \frac{- 11 - 12h - 12^2}{4 + 4h + h^2}[/tex]
Step-by-step explanation:
Given
[tex]f(x) = \frac{1}{x^2} - 3[/tex]
Required
Find f(3) and f(2 + h)
Solving f(3)
Substitute 3 for x in [tex]f(x) = \frac{1}{x^2} - 3[/tex]
[tex]f(3) = \frac{1}{3^2} - 3[/tex]
[tex]f(3) = \frac{1}{9} - 3[/tex]
Take LCM
[tex]f(3) = \frac{1 - 27}{9}[/tex]
[tex]f(3) = \frac{-26}{9}[/tex]
Solving f(2 + h)
Substitute 2 + h for x in [tex]f(x) = \frac{1}{x^2} - 3[/tex]
[tex]f(2 + h) = \frac{1}{(2 + h)^2} - 3[/tex]
[tex]f(2 + h) = \frac{1}{(2 + h)(2 + h)} - 3[/tex]
[tex]f(2 + h) = \frac{1}{4 + 2h + 2h + h^2} - 3[/tex]
[tex]f(2 + h) = \frac{1}{4 + 4h + h^2} - 3[/tex]
Take LCM
[tex]f(2 + h) = \frac{1- 3(4 + 4h + h^2)}{4 + 4h + h^2}[/tex]
[tex]f(2 + h) = \frac{1- 12 - 12h - 12^2}{4 + 4h + h^2}[/tex]
[tex]f(2 + h) = \frac{- 11 - 12h - 12^2}{4 + 4h + h^2}[/tex]
Looking at the histogram, how many students took the exam?
A: 37
B: 14
C: 5
D: 28
Answer:
(-2, 33) and (5, - 16)?
A. 7x- y=51
B. 7x+ y= -47
C. 7x+ y= -14 D. 7x+y= 19
Step-by-step explanation:
Answer:
37
Step-by-step explanation:
I hope I helped have a great day.