If you flip a coin one time, the probability to get a Head is
p = 1/2
The probability of not getting a head in a single toss is :
q = 1 - 1/2 = 1/2
Thus there is only one unique situation to get the same number of heads and tails : in 10 toss you need to get exactly five heads, it will means that the rest is the tails.
Now using Binomial theorem of probability, the probability of getting exactly x = 5 heads in a total of n = 10 tosses is :
P(X = 5) = [tex]\frac{10!}{5!*5!} *(\frac{1}{2})^{5} *(\frac{1}{2})^{5}[/tex]≈ 0.246
So the probability of that is 24,6 %
Good Luck
a) Dos números enteros positivos se diferencian en 6 unidades y la suma de sus cuadrados
es 260. ¿Cuáles son esos números?
Queremos encontrar dos números enteros tales que su diferencia sea de 6 y la suma de sus cuadrados sea igual a 260.
Veremos que los dos números son 8 y 14.
Primero, podemos definir esos números como A y B.
Entonces tenemos que:
A - B = 6
A^2 + B^2 = 260
Esto es un sistema de ecuaciones.
Para resolverlo, el primer paso es aislar una de las variables en una de las ecuaciones, vamos a hacer esto en la primera.
A - B = 6
A = 6 + B
Ahora reemplazamos esto en la otra ecuación.
A^2 + B^2 = 260
(6 + B)^2 + B^2 = 260
36 + 12*B + B^2 + B^2 = 260
36 + 12*B + 2*B^2 = 260
Ahora podemos resolver esto para B:
2*B^2 + 12*B + 36 - 260 = 0
2*B^2 + 12*B - 224
Las soluciones estan dadas por la formula de Bhaskara:
[tex]B = \frac{-12\pm \sqrt{12^2 - 4*2*(-224)} }{2*2} \\\\B = \frac{-12 \pm 44 }{4}\\\\B = (-3 \pm 11)[/tex]
Entonces las dos soluciones son:
B = -3 + 11 = 8
B = -3 - 11 = -14
Sabemos que los números son positivos, asi que elejimos la primera, entonces tenemos:
B = 8.
Con esto podemos calcular el valor de A como:
A - B = 6
A = 6 + B = 6 + 8 = 14
Entonces los dos números son:
8 y 14.
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Which expression tells how much greater the temperature change was on Friday than on Saturday?
Option B
Temperature change on Friday=81-72Temperature change on Saturday=76-69Total difference
[tex]\\ \rm\Rrightarrow (81-72)-(76-69)[/tex]
The correct expression is (81 - 72) - (76 - 69).
Option 2 is correct.
What is Arithmetic?The study and use of numbers, their relationships, and mathematical observations are topics covered by the area of mathematics known as arithmetic. The fundamental ideas in number theory, measurement, and computation are frequently referred to as "arithmetic" (that is, the processes of addition, subtraction, multiplication, division, raising to powers, and extraction of roots).
As per the given data:
The high and low temperature for Friday and Saturday is given in the table.
Temperature change = High Temperature - Low Temperature
To find the expression which tells how much greater the temperature change was on Friday than on Saturday:
= Temperature change on Friday - Temperature change on Saturday
= (81 - 72) - (76 - 69)
Hence, the correct expression is (81 - 72) - (76 - 69)
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Can u please help me with this. I’ll make brainliest
Answer:
number
Step-by-step explanation:
number than number lol sorry i dont know i wish i could help you
What is the idea of factoring by grouping?
Answer:
When factoring by grouping also called factoring in pairs, we should split the expression into two pairs that have something in common. The idea is that after we factor each pair, we get a binomial common factor.
Step-by-step explanation:
what is greater: 19/5, 27/5, 10/3, 14/5
Answer:
I think the greater fraction is 27/5
Answer:
27/5Step-by-step explanation:
what is greater: 19/5, 27/5, 10/3, 14/5
fractions are divisions, we divide to see the greater
19/5= 3.8
27/5= 5.4
10/3= 3.33
14/5= 2.8
An acute angle of a right-angled triangle is twice the other acute ongle find them
Answer:
30° and 60°Step-by-step explanation:
An acute angle of a right-angled triangle is twice the other acute ongle find them
the sum of the internal angles of a triangle is 180 °, take away the right angle (90 °) and divide by three, and you find one of the unknown angles, you multiply it by 2 and you find the other unknown angle
(180 - 90) : 3 = 30
30 * 2 = 60
----------------------
check
90 + 30 + 60 = 180°
the answer is good
In ΔVWX, w = 490 inches, ∠W=31° and ∠X=79°. Find the area of ΔVWX, to the nearest square inch.
Answer:
= 215008. 21 in²
Step-by-step explanation:
which type of image format is constructed using proportional formulas rather than pixels?
Answer:
vector.
Step-by-step explanation:
Write the triangle congruence statement.
Answer:
If three sides of one triangle are congruent to three corresponding sides of another triangle, then the triangles re congruent. SSS
Step-by-step explanation:
or If two sides and the included angle of one triangle are congruent to the corresponding sides and the included angle of another triangle, then the triangles are congruent. SAS
PART C
What should the height of a can of fruit juice used as a prop be if its actual
height is 7 inches? Show your work.
Answer:
15 in i am guessing
Step-by-step explanation:
i need to know the height of the can first
The height of a can of fruit juice used as a prop, if its actual height is 7 inches, should be of 3.85 inches.
What is a proportional relationship?A proportional relationship is a linear function that has an intercept of zero and hence it has the output variable y as the multiplication of the input variable x and the constant of proportionality k, as follows:y = kx.
Given that, the input and the output variables in this problem are as follows:
Input variable: Actual height = 80 in
Output variable: Height on set = 44 in
k = 44/80
k = 0.55.
Therefore, the equation is:
y = 0.55x.
Then the height on the set when the actual height is of 7 inches is given by:
y = 0.55(7) = 3.85 inches.
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What number does this Roman numeral represent? MCCLXXXVIII
Answer:
1280 is the answer. hope it helps you
solve the equation -4x³=32
Answer:
Step-by-step explanation:
- 4x^3 / (- 4) = 32 / (- 4)
x should and cannot be negative or it shouldn't be for example (- x) = 90
cubic root (x^3) = cubic root (- 8)
x = cubic root (- 8)
x = 2i
what is "i"?
It is an imaginary number as you cannot square, cubic, or whatever root with a negative in it. so instead you must add "i" to remove the negative as a replacement and indicator that it was a negative number.
help please how u do dis
Answer:
WR = 16
Step-by-step explanation:
The centroid M is the point where the 3 medians intersect
The median is a segment that goes from one of the triangle's vertices to the midpoint of the opposite side.
WY is a median of the triangle , then
WY = YR = 8
WR = wy + yr = 8 + 8 = 16
Given that XY is a line segment with the angle a = 51°, work out the value of
the angle marked b.
Y
b
a
X
The diagram is not drawn to scale.
ASP PLZ
Answer:
129º
Step-by-step explanation:
This is just a guess since you didn't include the diagram
b is supplemetary to a
therefor
b = 180 - a
b = 180 - 51
b = 129º
Is 10x-4 proportional
Answer:
No
Step-by-step explanation:
10x - 4
x = 2/5
Since there is no other equation or expression to set 10x - 4 equal to, it cannot be proportional.
quotient rule
fill in the blank
to divide two powers with the same base, ___ the exponent of the ______ from the exponent of the ______ and keep the same base
Answer:
add
subtract
multiply
Step-by-step explanation:
Which of the following functions is graphed below?
Answer:
The answer is A. For some reason when it goes to the right, it’s a negative and vice versa. Then to go up is just +2
Step-by-step explanation:
Reed has 3 boards. Each board is 4 yards long. Reed needs to cut 2 -foot-long sections for his project. What is the maximum number of 2 -foot-long sections Reed can cut from the boards?
Answer:
19
Step-by-step explanation:
3 boards that are 12 feet long = 38÷2=19
Find the value of x for which m ll n
Answer:
x=54
Step-by-step explanation:
2x+13=3x-41
-13 -13
__________
2x=3x-54
-3x -3x
__________
-1x=-54
__ __
-1 -1
X=54
I Hope this helped <3
Answer:
x = 54
Step-by-step explanation:
If m||n, these two angles will be equal in degrees
3x - 41 = 2x + 13
3x - 2x = 13 + 41
x = 54
Can someone please help me with part b?
Answer:
x-intercept(s): (-2, 0), (6, 0)
y-intercept(s): (0, -6)
Step-by-step explanation:
An x-intercept represents the point(s) at which the parabola intersects the x axis. A parabola can have 0, 1, or 2 x-intercepts.
A y-intercept represents the point at which the parabola intersects the y axis. A parabola always has exactly 1 y-intercept.
Hope it helps :) and let me know if you're still confused.
Can someone please help will mark brainliest.
Answer:
3 square miles
Step-by-step explanation:
HELPPPPPPPPPPPPPPPPPPP
Answer:
HWHAHAHAHA hatdog
jejdisisisiwis
what equation represents the line that passes through the points (3, -2) and (-1, 10)
Answer:
y=-3x-9
Step-by-step explanation:
Let's find the slope of the line
m=-2-10/3--1
m=-12/4=-3
The equation is given as
y-y1=m(x-x1)
y--2=-3(x-3)
y+2=-3x+9-2
y=-3x-7-2
y=-3x-9
DUE IN 2 HOURS HELP QUICK! I WILL GIVE U BRAINLIEST
Answer:
see explanation
Step-by-step explanation:
Using the rules of exponents
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex]
[tex]a^{m}[/tex] ÷ [tex]a^{n}[/tex] = [tex]a^{(m-n)}[/tex]
(a)
3² × 3² = [tex]3^{(2+2)}[/tex] = [tex]3^{4}[/tex]
(b)
7 × [tex]7^{4}[/tex] = [tex]7^{(1+4)}[/tex] = [tex]7^{5}[/tex]
c)
[tex]10^{9}[/tex] ÷ [tex]10^{7}[/tex] = [tex]10^{(9-7)}[/tex] = 10²
(d)
[tex]5^{8}[/tex] ÷ 5 = [tex]5^{(8-1)}[/tex] = [tex]5^{7}[/tex]
Make x the subject of the formula 3 ( c − b x ) = 18
Answer:
- 6-c/b
Step-by-step explanation:
3 ( c − b x ) = 18
=> c - bx = 18/3
=> -bx = 6 - c
∴ x = - 6-c/b
Hopefully this helps!!
The given formula written in the form of x as the subject is obtained as x = (c - 6)/b.
What is a Linear equation?A linear equation is a equation that has degree as one.
To find the solution of n unknown quantities n number of equations with n number of variables are required.
The given formula is 3(c − bx) = 18.
It is in the form of a linear equation.
It can be rewritten as follows,
3(c − bx) = 18
⇒ c − bx = 18/3
⇒ bx = c - 6
⇒ x = (c - 6)/b
Which implies the formula written as x as the subject.
Hence, the required form of the given formula is x = (c - 6)/b.
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Write the following phrase as an algebraic expression. Use k for the unknown.
"The product of 20 and a number"
Answer: 20k
Step-by-step explanation: product means to multiply. Use k for the unknown number. 20 times k can be written as 20k.
Describe the following
Answer:
yes it's a function, but not a relation.
Step-by-step explanation:
Because it is a polynomial function
Please help help and thank you
Answer:
The first option you have selected should be correct. if any doubt comment.
What id the value of x?
Answer:
x=43.25
Step-by-step explanation:
this is a isosceles triangle so the other angle is also x
2x+93.5=180
2x=86.5
x=43.25
-3/-4 in simplest form
3/4
a double negative equals a positive
Answer:
3/4 is your answer
Step-by-step explanation: