Answer:
All sides will be 11 and all angles will be 90 degrees.
Step-by-step explanation:
As all sides of square are equal. And all angles are right angled.
Hope it helped!!
Suppose 65% of jurors come to a just decision. In a jury of ten people, what is the probability more than half come to a just decision? 0.7515 0.2485 0.0949 0.8374 0.9051
Answer: 0.7515
Step-by-step explanation:
Binomial probability formula:
[tex]P(X=x)=\ ^nC_xp^x(1-p)^{n-x}[/tex] , where
n = total number of trials.
p= probability of success in each trial.
x= Number of successes.
Let x be a binomial variable that represents the number of jurors come to just decision.
p= 0.65
n= 10
Required probability= [tex]P(x>5)=P(x=6)+P(x=7)+P(x=8)+P(x=9)+P(x=10)\\\\ =\ ^{10}C_6(0.65)^6(0.35)^4+ ^{10}C_7(0.65)^7(0.35)^3+ ^{10}C_8(0.65)^8(0.35)^2+ ^{10}C_9(0.65)^9(0.35)^1+^{10}C_{10}(0.65)^{10}(0.35)^0\\\\=0.75149550912\approx0.7515[/tex]
Hence, the probability more than half come to a just decision = 0.7515
El largo de una sala es 2 metros más grande que su ancho. El área es de 80 m?. ¿Cuánto mide de largo? Cuánto mide de ancho?
Answer: Translation:
The length of a room is 2 meters greater than its width. The area is 80 m ?. How long is it? How wide is it?
Step-by-step explanation:
A triangle has side lengths of (6a-3b)(6a−3b) centimeters, (5a+5c)(5a+5c) centimeters, and (8c-b)(8c−b) centimeters. Which expression represents the perimeter, in centimeters, of the triangle?
Answer:
P = a(61a - 36b + 50c) + 10b² + 89c² - 16bc
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Terms/CoefficientsExpand by FOIL (First Outside Inside Last)FactoringGeometry
Perimeter Formula [Triangle]: P = L₁ + L₂ + L₃
L₁ is one sideL₂ is another sideL₃ is the 3rd sideStep-by-step explanation:
Step 1: Define
L₁ = (6a - 3b)(6a - 3b)
L₂ = (5a + 5c)(5a + 5c)
L₃ = (8c - b)(8c - b)
Step 2: Find Perimeter
Substitute in variables [Perimeter - Triangle]: P = (6a - 3b)² + (5a + 5c)² + (8c - b)²Expand [FOIL]: P = (36a² - 36ab + 9b²) + (25a² + 50ac + 25c²) + (b² - 16bc + 64c²)Combine like terms (a²): P = 61a² - 36ab + 9b² + 50ac + 25c² + b² - 16bc + 64c²Combine like terms (b²): P = 61a² + 10b² - 36ab + 50ac + 25c² - 16bc + 64c²Combine like terms (c²): P = 61a² + 10b² + 89c² - 36ab + 50ac - 16bcRearrange variables: P = 61a² - 36ab + 50ac + 10b² + 89c² - 16bcFactor: P = a(61a - 36b + 50c) + 10b² + 89c² - 16bctwo cube numbers from 3,6,8,14,16,28,41,64
Answer:
67
70
73
76
79
82
85
Answer:
The answer are 8 and 64
Step-by-step explanation:
[tex] \sqrt[3]{8} = 2 \\ \sqrt[3]{64} = 4[/tex]
HELP PLEASE!! WILL GIVE BRAINLIEST!!!
The slope is 5/7
Step-by-step explanation:
When you find slope you need to find both points and use the ordered pairs and subtract y1 - y2 and x2 - x1 and then you get your slope which is 5/7
sorry im bad at explaining
On sports day at Lakewood middle school, gold, silver, and bronze medals were awarded to the top three finishers in each event Miniature replicas of the medals were sold as souvenirs in booths around the field. For $26, attendees could purchase a package containing 5 gold, 4 silver, and 2 bronze replicas, or one containing 4 gold, 4 silver, and 4 bronze replicas, or one that had 3 gold, 4 silver, and 6 bronze replicas. Which system of equations may be used to find the price, in dollars, of each type of replica?
Answer:
[tex]5G + 4S + 2B = 26[/tex]
[tex]2G + 2S + 2B = 13[/tex]
[tex]3G + 4S + 6B = 26[/tex]
Step-by-step explanation:
Given
Represent Gold with G, Silver with S and Bronze with B
Required
Determine the system of equations
The packages are represented as:
The first: 5G + 4S + 2B
The second: 4G + 4S + 4B
The third: 3G + 4S + 6B
Each of the package costs $26.
So, we have:
[tex]5G + 4S + 2B = 26[/tex] -- (1)
[tex]4G + 4S + 4B = 26[/tex] -- (2)
[tex]3G + 4S + 6B = 26[/tex] -- (3)
Divide both sides of (2) by 2
[tex]4G + 4S + 4B = 26[/tex]
[tex]2G + 2S + 2B = 13[/tex]
So, the system of equations are:
[tex]5G + 4S + 2B = 26[/tex]
[tex]2G + 2S + 2B = 13[/tex]
[tex]3G + 4S + 6B = 26[/tex]
Juan tiene 15 años más que Antonio. Dentro 10 años, la edad de Juan será el doble que la de Antonio¿ Cuantos años tienen los dos?
What is the slope of a line perpendicular to the line whose equation is 4x−y=9. Fully reduce your answer.
Answer:
slope of given line is 4.
so slope of line perpendicular to it will be -1/4
Maria rents a bicycle while on vacation. It costs a flat fee of $19.95 plus $5.50 an hour. Maria rents it for 4 hours. What is the total cost?
Answer:
36.45
Step-by-step explanation:
5.50 × 3 = 16.5
16.5 + 19.95 = 36.45
sorry if wrong.
hope it helps.
Help me please :)....
Answer:
a = 6, b = 12, c = 18, d = 12
Step-by-step explanation:
Please hurry
Select all the points that are on the graph of the line
3x + 5y = 20 ?
Answer:
x=5
y=1
Step-by-step explanation:
3*5=15
5*1=5
15+5=20
determine if f (x) = - x^3 + 4x^2 +7x - 6
what is the surface area of a cylinder in 9in,7in, and 5in ?
Find the slope when given (2,3) (3,5) plz
please Help me i'm timed
Answer:
X=28
Step-by-step explanation:
4x+248=360
112=4x
x=28
Answer:
28
Step-by-step explanation:
Solve by elimination:
9x + 4y = 97
9x + 6y = 123
14
15'
B (5, 13)
(13,5)
D (1, 22)
Answer:
B (5, 13)
Step-by-step explanation:
9x + 4y = 97
9x + 6y = 123
To solve by elimination, we want to eliminate a variable. To do this, we must make one variable cancel out.
First, we can see that both equations have 9x. To cancel out x, we must make one of the 9x's negative. To do this, multiply each term in the equation by -1.
-1(9x + 6y = 123)
-9x - 6y = -123
This is one of your equations. Set it up with your other given equation.
9x + 4y = 97
-9x - 6y = -123
Imagine this is one equation. Since every term is negative, you will be subtracting each term.
9x + 4y = 97
-9x - 6y = -123
___________
0x -2y = -26
-2y = -26
To isolate y further, divide both sides by -2.
y = 13
Now, to find x, plug y back into one of the original equations.
9x + 4(13) = 97
Multiply.
9x + 52 = 97
Subtract.
9x = 45
Divide.
x = 5
Check your answer by plugging both variables into the equation you have not used yet.
-9(5) - 6(13) = -123
-45 - 78 = -123
-123 = -123
Your answer is correct!
(5, 13)
Hope this helps!
Ten cards numbered 1-10 are placed in a hat.What is the probabiliy of randomly drawing a card with an even number then a card with a number equal to five if the firdt card iis replaced
Answer:
1/ 20
Step-by-step explanation:
Given :
Cards = {1,2,3,4,5,6,7,8,9,10}
Even number = {2,4,6,8,10}
Probability (drawing an even number) :
Number of even / total. Number of cards
5 / 10 = 1/2
Card with number, 5 :
P(card numbered 5) = 1/10
Since they are independent events :
P(even number) * P(card numbered 5)
1/2 * 1/10 = 1/20
Solve the equation y – 5x = –7 for y.
A. y = 5x – 7
B. y = –5x – 7
C. y = 5x + 7
D. y = –5x + 7
Answer:
the answer is B
Step-by-step explanation:
Answer: A. y = 5x -7
Step-by-step explanation:
Y - 5x = -7
+ 5x + 5x
Y = 5x - 7
**you can’t subtract -5x to -5x because it’s already a negative. It should be a positive 5x so you can move it to the other side.
A wildlife photographer photographs a crocodile and then paddles against a river current for 6 km. Then, hoping to photograph a hippopotamus, she paddles 15 km across a lake. She paddles across the lake for one hour longer than she paddled up the river. Find the speed of the boat as she paddles the lake if the river current is 2 km/h.
Answer:
5 or 6
Step-by-step explanation:
So I did it in a different way than shown in rsm classes. I said that the speed was x-2 and x.
then I said the distance was 6 and 15. If the time taken was 1 hour more, then we can come up with this equation:
Since the time is 6/x-2 or 15/x
15/x-6/x-2=1
multiply everything to get a common denominator then cancel it out to get
(15x-30)-6x=x^2-2x
11x-30=x^2
x^2-11x+30=0
(x-5)(x-6) is factored form.
so x=5 or x=6. this means that the speed of the boat is either 5km/h or 6 km/h
[tex]\frac{1}{4} ^{0}[/tex]
how do I solve this equation?
Answer:
The solution is 1.
Step-by-step explanation:
Any number raised to the 0th power will always be 1.
What’s the volume of this cube?
Answer:
Formula: V = a^3
a = 2in
Input: V = a^3 = 2^3 = 8
Step-by-step explanation:
Which pair of angles is congruent?
Answer:
Option 2
Step-by-step explanation:
Corresponding Angles Theorem
When the stress on a rock in the mantle is greater than the rock is strong ________.
the rock breaks and energy is released in the form of s-waves and p-waves
a volcano erupts
a tsunami builds under the ocean
sedimentary rock is formed
Answer:
sedimentary rock is formed
Step-by-step explanation:
The first triangle is dilated to form the second triangle.
Select True or False for each statement.
Statement True False
The scale factor is 0.25.
True – The scale factor is 0.25.
False – The scale factor is 0.25.
The scale factor is 4.
True – The scale factor is 4.
False – The scale factor is 4.
A right triangle with a hypotenuse of 4.4. An arrow points to a smaller right triangle with a hypotenuse of 1.1
Answer:
Both true
Lelelelellele
A square has an area of 64 square units. If its sides were only half as long, what would its area be?
Answer:
16
Step-by-step explanation:
the sides now are 8x8
1/2 of that is 4x4 and 4x4=16
I need help ASAP pleaseeeeee
Answer: area of smaller is 18 and larger is 45 so the answer is 27
Step-by-step explanation:
A triangular prism where the base is a right traingle with lengths of the edge are given 3cm,4cm,5cm,3cm what are the total surface
Answer:
Total surface area is 48 square Centimeter
Step-by-step explanation:
Total surface area is equal to the product of triangular base area and the height of the prism
Area calculation of triangular base
[tex]S = \frac{3+4+5}{2} = 6\\[/tex]
Area =
[tex]\sqrt{S(S-a)(S-b)(S-c)}[/tex]
Substituting the given values in above equation we get
[tex]\sqrt{6 *3*2*1} = 6[/tex] square centimeter
Total surface area
= [tex]2 * 6 + (3*3)+(3*4)+(3*5)\\= 12 + 9 + 12+ 15\\= 48[/tex] square Centimeter
Just need answer for both
Answer:
First one: 12 ft
Second one: 50ft^2
Step-by-step explanation:
Because both triangles are congruent, any value on one triangle is the same one on the other triangle so CBD= 12ft for the perimeter
Second one:
because both triangles are congruent like I stated above, both triangle are congruent.
But in this case we have to find the area of the whole rectangle.
What we do here is multiply 25 by 2
or
add 25+25
our answer is 50ft^2
Will mark brainliest for whoever answers
Answer:
i think g(x) is not the inverse function of f(x). HOPE THIS HELPS!
Step-by-step explanation:
Cos^4x csc^2x = csc^2 x sin^2 -2
Answer:
0
Step-by-step explanation:
i think im not sure the way this question is written doesn't make a lot of sense
