Answer: 31.25%
Two ways to solve this problem:
#1: Use the formula: [tex]P(X=x)={n}Cx_{} *p^{x}*(1-p)^{n-x}[/tex]
#2 Use a graphing calculator and use the function binompdf(n, p, x)
x = 3n = 6p = 0.5#1: Formula:
[tex]P(X=3)=_{6}C_{3}*0.5^{3} *(1-0.5)^{6-3}=\frac{6!}{3!(6-3)!} *0.5^{3} *0.5^{3}\\=\frac{6!}{3!*3!} *0.5^{3} *0.5^{3}=20*0.125*0.125=0.3125[/tex]
#2: Faster method
binompdf(6, 0.5, 3) = 0.3125
Answer: 31.3 is the real answer.
Step-by-step explanation:
The triangle below is isosceles. Find the length of side xx in simplest radical form with a rational denominator.
Answer:
Solution given:
Since the given triangle is isosceles and right angled triangle
perpendicular [p]=base[b]=x
hypotenuse [h]=6
we have
by using Pythagoras law
p²+b²=h²
x²+x²=6²
2x²=36
x²=36/2
x²=18
x=[tex]\sqrt{18}[/tex]
x=[tex]\bold{3\sqrt{2}}[/tex]
The length of side x in simplest radical form with a rational denominator is [tex]3\sqrt{2}[/tex]
Let the perpendicular base be x.Given the following data:
Hypotenuse = 6 units.To determine the length of side x in simplest radical form with a rational denominator, we would apply Pythagorean's Theorem:
What is the Pythagorean Theorem?Mathematically, Pythagorean's Theorem is given by this formula:
[tex]c^2 = a^2 + b^2[/tex]
Substituting the given parameters into the formula, we have:
[tex]6^2 = x^2 + x^2\\\\36=2x^2\\\\18=x^2\\\\x=\sqrt{18} \\\\x=3\sqrt{2}[/tex]
Read more on Pythagorean Theorem here: https://brainly.com/question/16176867
Which of the following numbers does not have
factors that include the smallest factor (other
than 1) of 119 ?
A. 28
B. 35
C. 40
D. 63
Answer:
C. 40
Step-by-step explanation:
The smallest factor of 119 (other than 1) is 7.
28/7 = 4,
35/7 = 5,
40/7 = 5 5/7
63/7 = 9
So it is 40
what is 1/4 of the H.C.F of 24,16,48
Answer:
2
Step-by-step explanation:
What is 1/4 of the H.C.F of 24,16,48
Your answer
GIven data
24,16,48
let us find the HCF of the above numbers
24=2*2*2*3
16= 2*2*2*2
48=2*2*2*2*3
Hence the HCF is 2*2*2= 8
Let us find 1/4 of the HCF
=1/4*8= 2
Hence the final answer is 2
Solve the system of equations.
5x – 4y = -10
y = 2 x – 5
x =
y =
Answer:
6x2+3y2=12,x+y=2,2x-y=-1x+y=4,x-y=2
Step-by-step explanation:
I just know.
Answer:
Step-by-step explanation:
5x – 4y = -10
y = 2 x – 5
Rearrage the equation:
5x – 4y = -10 (1)
-2 x +y = 5. (2)
pluging variable y equation2 in 1
5x - 4•(2x-5) = -10
-3x = -30
Solve equation [1] for the variable x
3x = 30
x = 10
x = 10
y = 2x-5
Use the x value to solve for y
y = 2(10)-5 = 15
x= 10
y= 15
Find the integral of x(4x² + 1) from 0 to 2. a. 18 c. 22 b. 16 d. 20
Answer:
a. 18
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Algebra I
Terms/CoefficientsCalculus
Integrals
Definite IntegralsIntegration Rule [Reverse Power Rule]: [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]
Integration Rule [Fundamental Theorem of Calculus 1]: [tex]\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)[/tex]
Integration Property [Multiplied Constant]: [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]
Integration Property [Addition/Subtraction]: [tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]
Step-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle \int\limits^2_0 {x(4x^2 + 1)} \, dx[/tex]
Step 2: Integrate
[Integrand] Distribute x [Distributive Property]: [tex]\displaystyle \int\limits^2_0 {(4x^3 + x)} \, dx[/tex]Rewrite Integral [Integration Property - Addition/Subtraction]: [tex]\displaystyle \int\limits^2_0 {4x^3} \, dx + \int\limits^2_0 {x} \, dx[/tex]Rewrite 1st Integral [Integration Property - Multiplied Constant]: [tex]\displaystyle 4\int\limits^2_0 {x^3} \, dx + \int\limits^2_0 {x} \, dx[/tex][Integrals] Reverse Power Rule: [tex]\displaystyle 4(\frac{x^4}{4}) \bigg| \limits^2_0 + (\frac{x^2}{2}) \bigg| \limits^2_0[/tex]Evaluate [Integration Rule - Fundamental Theorem of Calculus 1]: [tex]\displaystyle 4(4) + 2[/tex]Evaluate: [tex]\displaystyle 18[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Integration
Book: College Calculus 10e
Tony is 3 years older than Marie. This can be modeled with the following equation
Answer:
M = T - 3
Step-by-step explanation:
Given
T = M + 3 ( subtract 3 from both sides )
T - 3 = M , that is
M = T - 3
Answer:
[tex] \small \sf \: M = { \fbox { \green{T} } } - 3[/tex]
Step-by-step explanation:
T = M + 3
Swap the sides of of equations .
M + 3 = T
subtract 3 from both side
M + 3 - 3 = T - 3
M = T - 3
help me right now pls ?!
Answer:
B) =−7j−k−1
Step-by-step explanation:
10k+17-7j-18-11k what we have
=(−7j)+(10k+−11k)+(17+−18) combine like terms
=−7j−k−1
Answer:
-7j-k-1
Step-by-step explanation:
for this problem you have to subtract the like terms while following the order of the equation (start with the terms on the left and move terms)
Step 1:
-7j has no like terms
= -7j
Step 2:
10k and -11k are like terms
10k-11k
= -1k
Step 3:
17 and -18 are like terms
17-18
= -1
Step 4:
put all simplified terms together
=-7j-k-1
Aflati al 2013 lea termen al unei progresii aritmetice cu termenul al treilea egal cu 12 si diferenta a doi termeni consecutivi, 4.
Răspuns:
8052
Explicație pas cu pas:
Al treilea termen al unei progresii aritmetice:
T (n) = a + (n - 1) d
Unde ;
a = primul termen; d = diferență comună = 4; n = al treilea termen (numărul termenului)
Al treilea (3) termen:
T (3) = a + (3-1) 4
T (3) = 12
12 = a + 2 (4)
12 = a + 8
12 - 8 = a
4 = a
Prin urmare, primul termen = a
Al 2013-lea mandat;
T (2013) = a + (2013-1) d
T (2013) = 4 + (2012) 4
T (2013) = 4 + 8048
= 8052
Integrate with respect to x
1/√(1-2x)
Answer:
-√(1 - 2x) + C
Step-by-step explanation:
1/√(1-2x)
We want to integrate it. Thus;
∫1/√(1 - 2x) dx
Let u = 1 - 2x
Thus;
du/dx = -2
Thus, dx = -½du
Thus,we now have;
-½∫1/√(u) du
By application of power rule, we will now have;
-½∫1/√(u) du = -√(u) + C
Plugging in the value of u, we will have;
-√(1 - 2x) + C
The equation for the circle below is x2 + y2 = 100. What is the length of the
circle's radius?
Answer:
Step-by-step explanation:
x²+y² =(Radius)²
x²+y² =10². So the radius is 10
Answer:
radius = 10
Step-by-step explanation:
The equation of a circle centred at the origin is
x² + y² = r² ( where r is the radius )
x² + y² = 100 ← is in this form
with r² = 100 ( take the square root of both sides )
r = [tex]\sqrt{100}[/tex] = 10
18x-108
-----------
6x-54
simplify the expression
A.
B.
C.
D.
Answer:
3x-2
---------
x-1
Step-by-step explanation:
simplify 18x/6x = 3x/1x
simplify 108/54 = 2/1
What is a counterexample to this claim?
All quadrilaterals are parallelograms.
OA a rectangle
OB.
a rhombus
ОС. .
a square
OD.
a trapezoid
Answer:
The answer is D.
Step-by-step explanation:
f(x) = x5 – 9x3 Choose all of the zeroes of f(x)
Answer:
[tex]x^{3} (x^{2} -9)[/tex]
[tex]x^{3} (x+3)(x-3)[/tex]
zeros at : 0,3,-3
Step-by-step explanation:
HELP! Use the elimination method to solve the system of equations.
A. (0,8)
B. (-4,0)
C. (-2,4)
D. (0,3)
Answer:
B, (-4,0)
Step-by-step explanation:
2(4x - 2y = -16) 8x - 4y = -32
8x - 4y = -32
+ -3x + 4y = 12
5x = -20
x = -4
4(-4) - 2y = -16
-16 - 2y = -16
-2y = 0
y = 0
Can someone help me with this question please. I've been struggling.
Write the equation of the line of reflection
Answer:
y=-1
Step-by-step explanation:
Since we see an overlap, the line must cross through the original image.We can solve the equation of the line of reflection by realizing there is no slope because the reflection is parallel to the x-axis.URGENT PLS ANSWER QUICKLY
Answer:
5 is 14cm . 14 is 2pie r. 6 is 120
Answer:
Question 5 = 14
Question 6 = 120
I hope this helped!
How many triangles are there in the picture?
Clue, there are more than 30.
Answer:
36?
Step-by-step explanation:
Answer:
42 Triangles
Step-by-step explanation:
Count all the triangles one by one and determine the # of triangles.
plisss help me in thiss
Answer:
x=80
Step-by-step explanation:
The angle of a line is 180*.
The equation would be (x+20)+x=180
Subtract 20 from both sides: 2x=160
Divide by 2: x=80
That's your answer!
I hope this helps!
Answer:
x=80
Step-by-step explanation:
I cant explain well but edge 2021 never lie's!
Mr smith owns a bike store and typically marks up the bikes 20% over the price that the bikes cost him. The bikes cost him 69.95.
Need answer asap pls help will mark as brainliest!!
Answer: $83.94
Step-by-step explanation:
20% = 0.269.95 + 69.95(0.2) = 69.95(1 + 0.2) = 69.95(1.2) = 83.94
IM AM SO CONFUSED
Find the solution set.
8x2 - 2x – 1=0
Separate the two values with a comma.
Hello,
Answer (1/2,-1/4)
[tex]8x^2-2x-1=0\\\\8x^2-4x+2x-1=0\\\\4x(2x-1)+2x-1=0\\\\(2x-1)(4x+1)=0\\\\sol=\{\dfrac{1}{2} ,-\dfrac{1}{4} \}\\[/tex]
Which of the following values is closest to the standard deviation for the set
of data shown below?
23, 64, 73, 47, 22, 46, 34, 48, 67, 89, 83, 12, 23, 44, 16
If f(x) = [tex]\frac{1}{9}[/tex] x-2, what is [tex]F^{-1}[/tex](x)
Answer:
Solution given:
f(x) = [tex]\frac{1}{9}[/tex] x-2
let f(x)=y
y = [tex]\frac{1}{9}[/tex] x-2
interchanging role of x and y
x= [tex]\frac{1}{9}[/tex] y-2
x+2= [tex]\frac{1}{9}[/tex] y
y=9(x+2)
y=9x+18
So
F-¹(x)=9x+18
and
F-¹(-1)=9*-1+18=-9+18=9
The pie chart represents the results when 120 people in a shopping centre were asked which country they were born in. Uk:84 What fraction of people were born in the UK? Give your answer in its simplest form.
Answer:
22 people were born in the uk (66 ÷ 360) × 120=22
Step-by-step explanation:
Using the pie chart, the fraction of people born in the UK, is: 7/30.
What is a Pie Chart?A pie chart is a graphical representation used to describe the composition of a data using degrees or percentages.
84° is given as the number of people that were born in the UK.
That's about: 84/360 × 120 = 28 people.
28 out of 120 people would give us a fraction of: 28/120 = 7/30.
Learn more about pie chart on:
https://brainly.com/question/26851221
#SPJ2
What is the value of (3/10)^3?
♡ 3/1000
♡27/1000
♡9/10
♡27/10
Answer:
27/10 is the value of (3/10)^3.
Step-by-step explanation:
It is also written as 0.027
Find the length of side xx in simplest radical form with a rational denominator.
Answer:
2/3.
Step-by-step explanation:
.
Answer:
Solution given:
the relationship between perpendicular and base is given by tan angle
Tan 60=opposite/Adjacent
[tex]\sqrt{3}[/tex]=x/3
x=[tex]3\sqrt{3}[/tex]
The value of x is [tex]3\sqrt{3}[/tex]
The first step for deriving the quadratic formula from the quadratic equation, 0 = ax2 + bx + c, is shown.
Step 1: –c = ax2 + bx
Which best explains or justifies Step 1?
subtraction property of equality
completing the square
factoring out the constant
zero property of multiplication
Answer:
subtraction property of equality
Step-by-step explanation:
From the Standard form for quadratic equation, it is possible to see that step 1 represents the subtraction property of equality.
Quadratic function
The quadratic function can be represented by a quadratic equation in the Standard form: ax²+bx+c=0 where: a, b and c are your respective coefficients. In the quadratic function the coefficient "a" must be different than zero (a≠0), the coefficient c is a constant and the degree of the function must be equal to 2.
From the Standard form: ax²+bx+c=0, it is possible to see that step 1:
–c = ax² + b represents the subtraction property of equality.
Read more about a quadratic function here:
brainly.com/question/1497716
Simplify:
a.5³×5‐²×5⁴.
b.a⁴×a‐²×x³.
c.(x⁵)²×(y⁵)³
__________
(x³)³×(y²)²
Answer:
a. 125 * 0.04 * 625 = 5 * 625 = 3125
b. a^2 * x^3
c. x^10 * x^ y^15
Last one: x^9 * y^4
Step-by-step explanation:
Because yes.
which of the following is the equation of a line that passes through the points (1,6) and(2,1)
Answer:
y=1x-5
Step-by-step explanation:
it goes over to the right 1 time and down 5
(1+1,6-5)=(2,1)
Can someone please help me with this?
Answer:
A - True
B - False
C - True
D - False
E - True
Step-by-step explanation:
help me to solve this question please faster thankyouu
Answer:
Step-by-step explanation:
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