Answer:
La probabilidad de que el estudiante entre, es 0.7
Entonces la probabilidad de que el estudiante no entre, es 1 - 0.7 = 0.3.
Ahora, si de 5 estudiantes, 3 entran y 2 no, entonces la probabilidad para un dado arreglo es: 0.7 tres veces, y 0.3 dos veces.
Y la probabilidad conjunta es igual al producto de las probabilidades individuales.
P = (0.7^3)(0.3^2)
Pero esto es para un arreglo, tenemos que tener en cuenta las permutaciones.
Sabemos que para M elementos, el numero de diferentes arreglos de N elementos (tal que N ≤ M) es:
[tex]C(M, N) = \frac{M!}{(M - N)!*N!}[/tex]
En este caso, tenemos que M = 5 y N = 3, entonces tenemos:
[tex]C(5, 3) = \frac{5!}{2!*3!} = 5*4/2 = 10[/tex]
Entonces la probabilidad va a ser:
P = 10* (0.7^3)(0.3^2) = 0.3087
13.a: Triangle ADEF is *equilateral* with DE = 3x + 6, EF = 36 - 3x and FD =
12x-39. What is the value of x? *
O 3
5
6
O 12
Answer:
5
Step-by-step explanation:
3x + 6 = 36 - 3x
6x = 30
x = 5
Work out please what is it
Step-by-step explanation:
a.5/7
b.12/8= 6/4 = 3=2 =
1 and 1/3
c. 4/6-3/6=
1/6
Answer:
a.)5/7
b.)1.5 or 1 1/2
c.)1/6
Step-by-step explanation:
The quotient of 8 divided by 1/5 will be _____ 8.
Answer:
5
Step-by-step explanation:
Answer:
Less Than :)
Step-by-step explanation:
If two of the angles in a triangle measure 68 and 23 degrees, what is the measure of the missing angle?
Answer:
89
Step-by-step explanation:
We know that all the inside angles of a triangle summed up is 180 so we just do 68 + 23 which is 91 now we use 180 and subtract 91 from it, 180-91 which equals 89
Use the graph to fill in the blank with the correct number.
f(-2)=?
Answer:
2
Step-by-step explanation:
In function notation, f(x) equals the y value and the x equals the x value. So this question is asking you to find the value of y when x=-2. To do this find -2 on the graph and find the point with the same x value, then find what value of y it is on. In this case, f(-2)=2.
I need to find the answer for "x" 2x + 3(5x - 7) =47
Answer:
The answer would be x=4.
Step-by-step explanation: Step 1: Simplify both sides of the equation.
2x+3(5x−7)=47
2x+(3)(5x)+(3)(−7)=47(Distribute)
2x+15x+−21=47
(2x+15x)+(−21)=47(Combine Like Terms)
17x+−21=47
17x−21=47
Step 2: Add 21 to both sides.
17x−21+21=47+21
17x=68
Step 3: Divide both sides by 17.
17x/17=68
17x=68
x=4
answer asap..........
Answer:
Quadrant I: (⅓, 2⅓)
Quadrant II: (-1⅓, 3⅓)
Quadrant III: (-3, -10) (-3⅓, -1⅓)
Quadrant IV: (9, -1)
Step-by-step explanation:
If it is (+, +), it is in quadrant I.
If it is (-, +), it is in quadrant II.
If it is (-, -), it is in quadrant III.
If it is (+, -), it is in quadrant IV.
A wolf population is growing exponentially. In 2011, 129 wolves were counted. By 2013, the population had reached 236 wolves. Write the equation representing the population N of wolves over time t. Write your answer in the form a(b)^t. Round your b value to 3 decimal places.
Answer:
129 [tex](1.3526)^{t}[/tex]
Step-by-step explanation:
Assuming N = [tex]ab^t[/tex]
t = number of years after 2011
N = number of wolves
When t = 0 , N = 129
129 = [tex]ab^0[/tex]
a = 129
N = 129[tex]b^{t}[/tex]
When t = 2 , N = 236
therefore 236 = 129 [tex]b^{2}[/tex]
[tex]b^{2}[/tex] = [tex]\frac{236}{129}[/tex]
therefore; b = 1.3526
Answer expressed in the form of a(b)^t.
129 [tex](1.3526)^{t}[/tex]
A ball was thrown up into the air and allowed to bounce until it came to a halt.
10 +
9
8
N
6
Height in Feet
4
3
m
2.
1
o
0
1 2 3 4 5 6 7 8 9 10
Time in Seconds
At which of the following intervals did the height of the ball increase and then decrease?
0 0 SXS4
25x54
Ο ΟΟΟ
5 SXS7
75x59
In the interval 0 ≤ x ≤ 4 the height of the ball increase and then decrease option (A) is correct.
What is a polynomial?Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.
[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]
It is given that:
The ball was thrown up into the air and allowed to bounce until it came to a halt.
As we know,
The parabola can be defined as the graph of a quadratic function that has something bowl-shaped.
(x - h)² = 4a(y - k)
(h, k) is the vertex of the :
a = √[(c-h)² + (d-k²]
(c, d) is the focus of the parabola:
Thus, in the interval 0 ≤ x ≤ 4 the height of the ball increase and then decrease option (A) is correct.
Learn more about Polynomial here:
brainly.com/question/17822016
#SPJ2
Write an equation in slope-intercept form of the line shown.
Answer:
[tex] y = 2x - 5 [/tex]
Step-by-step explanation:
Find the slope using the points, (1, -3) and (3, 1):
[tex] slope(m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{1 -(-3)}{3 - 1} = \frac{4}{2} = 2 [/tex]
m = 2
Find the y-intercept (b) by substituting x = 1, y = -3, and m = 2 in [tex] y = mx + b [/tex]
[tex] -3 = (2)(1) + b [/tex]
[tex] -3 = 2 + b [/tex]
Subtract 2 from both sides
[tex] -3 - 2 = 2 + b - 2 [/tex]
[tex] -5 = b [/tex]
[tex] b = -5 [/tex]
Plug in the value of m and b into the slope-intercept form equation, [tex] y = mx + b [/tex].
Thus:
[tex] y = 2x +(-5) [/tex]
✅[tex] y = 2x - 5 [/tex]
Marcus spent 3.25$ to wash his car. If one querter operates the car wash 60 seconds hiw long did it take him to wash his car.
10 min or 13 min. or 16 min ir 32.5 min
Answer:
answer=answer
Step-by-step explanation:
Y E S
I love simple math.
3.25$ to wash the car.
60 seconds: 1 quarter
how many quarters is 3.25?
4 quarters per dollar. so it'd be 13 quarters, then do 13*60=how many seconds u got. 780 seconds. I think you can do 780/60
HINT: hey, psst, it's 13 minutes. : D
HEY DOn'T teLL tHeM tHe ANSWER. :V
Write an equation in point-slope form for the line that has a slope of 6 and contains the point (8,7)
Answer:
The answer is
[tex] \huge y - 7 = 2(x - 8)[/tex]
Step-by-step explanation:
To find an equation of a line in point slope form when given the slope and a point we use the formula
[tex]y - y_1 = m(x - x_1)[/tex]
From the question we have the final answer as
[tex]y - 7 = 6(x - 8)[/tex]
Hope this helps you
Use the picture below.
How many lines of symmetry does the picture have?
A - 2
B - 3
C - 1
D - 0
(Lol My lil bro asked me and im to lazy for this-)
Answer:
1. I belive
Step-by-step explanation:
What number will you get the same result if you multiply it by 3 and add 1, OR if you multiply it by 2 and add 8?
Answer:
7
Step-by-step explanation:
3×7+1=22
2×7+8=22
A minor league baseball park has 6800 seats. Box seats cost $19, grandstand seats cost $9, and bleacher seats cost $4. When all seats are sold, the revenue is $61200. If the number of bleacher seats is 2 times the number of box seats, how many seats of each type are there?Box seats:_______ Grandstand seats:_______ Bleacher seats:______
Answer:
Step-by-step explanation:
Let us represent
The number of Box seats = x
The number of grandstand seats = y
The number of bleacher seats cost = z
A minor league baseball park has 6800 seats.
Hence,
x + y + z = 6800
Box seats cost $19, grandstand seats cost $9, and bleacher seats cost $4. When all seats are sold, the revenue is $61200.
Hence:
$19 × x + $9 × y + $4 × z = $61200
19x + 9y + 4 z = 61200
If the number of bleacher seats is 2 times the number of box seats
z = 2x
Hence we substitute
x + y + z = 6800
x + y + 2x = 6800
3x + y = 6800.... Equation 3
y = 6800 - 3x
For Equation 2, substituting 2x for z
19x + 9y + 4z = 61200
19x + 9y + 4(2x) = 61200
19x + 9y + 8x = 61200
27x + 9y = 61200...... Equation 4
Combining Equation 3 and 4
3x + y = 6800.... Equation 3
27x + 9y = 61200...... Equation 4
Note that:
y = 6800 - 3x
We substitute the above in Equation 4
27x + 9(6800 - 3x) = 61200
27x + 61200 - 27x = 61200
Box seats:_______ Grandstand seats:_______ Bleacher seats:______
Clare made an error when solving -4x + 3 < 23
-4x + 3 < 23
-4x < 20
x < - 5
Describe the error she made
Help me plzz
Answer:
Clare didn't change the inequality symbol in the last step to >
Step-by-step explanation:
Given inequality is:
[tex]-4x+3<23[/tex]
Clare's error was in the last step where she multiplied the inequality by -4 to remove the minus sign with x. When an in equality is multiplied/Divided by a negative number then the sign of inequality is reversed. < is changed to > and > is changed to less than.
The answer must have been x > -5
The correct way to solve is:
[tex]-4x+3 <23\\-4x<20\\x>-5[/tex]
Hence,
Clare didn't change the inequality symbol in the last step to >
evaluate the expression when y=10. 2+y+11
11
12
21
23
Answer:
23
Step-by-step explanation:
First, we can rearrange the equation to make it look simpler.
2+y+11 ---->
y+2+11
Then, we can combine like terms, thus
y+13
Then, we can plug in 10 for y
(10)+13
Combine like terms again, and the answer is:
23
What is the equation in point-slope form of the line passing through (-2, 0) and (2, 8)?
y = 2(x + 2)
Ob
y = 2(x - 2)
Ос
y = -2(x - 2)
Od
y = -2(x + 2)
Answer:
-8
Step-by-step explanation: y = 2(x +2) so... ( 2x 2) = 4 while 2 - x 2 = 8
Answer:
first one.
Step-by-step explanation:
y=2(x+2).
.....
I need help with this one
Answer:
she charges 20 dollars per photo
for every photo it goes up by 20. you could say that the slope is 20 also.
Answer:
She charges 20 dollars per photo
Step-by-step explanation:
Pick any price on the y axis and divide by the corresponding x-value. For example, the line has a point at (60,3) so we can divide 60 by 3 to give us 20. 20 is therefore the slope of the line.
(GIVING BRAINLIEST ON THIS ONE!!)
Solve six and two sixths times one and one half.
A) eight and six twelfths
B) nine and six twelfths
C) ten and two twelfths
Answer:
B
Step-by-step explanation:
6 2/6 x 1 1/2
(6 x 6) + 2 = 38/6
(1 x 2) + 1 = 3/2
38/6 x 3/2 = 114/12.
114 ÷ 12 = 9 6/12
9 6/12 = 9 3/6 = 9 1/2.
B
Answer:
the answer is b) nine and six twelfths
Step-by-step explanation:
hoped that helped
What is the answer for 5x1+2?
I
Answer:
7
Step-by-step explanation:
1. Explain how a function may be reflected about the x-axis.
2. Explainhowafunctionmaybereflectedaboutthey-axis.
3. What is the difference between a slope change and a translation?
Answer:
If the function is reflected across the x-axis, the negative sign will be like this -f(x)
If the function is reflected across the y-axis, it will be lie this f(-x)
Translation is the movement of an object without any change of size, whereas change of slope is the difference in steepness.
Step-by-step explanation:
5x-6y=-4
-6x+6y=-6
solve using elimination
HELP.
Answer:
x=10 y=9
Step-by-step explanation:
7 men can dig a canal in 14 weeks. After 2 weeks of work another 7 men joined them in how many weeks more will the work be finished?
Answer:
1 week
Step-by-step explanation:
4. Look at these prices.
£8.79
£7.98
£8.97
£7.89
Write the amounts in order. Start with the smallest amount.
£
£
£
£
smallest
largest
how do you solve 4x+10=3x+37
Answer:
x = 27
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Equality PropertiesStep-by-step explanation:
Step 1: Define equation
4x + 10 = 3x + 37
Step 2: Solve for x
Subtract 3x on both sides: x + 10 = 37Subtract 10 on both sides: x = 27Step 3: Check
Plug in x to verify it's a solution.
Substitute: 4(27) + 10 = 3(27) + 37Multiply: 108 + 10 = 81 + 37Add: 118 = 118And we have our final answer!
Two complex numbers have a product of 30 and positive integers as real parts. Write all possible combinations of such numbers.
Answer:
[tex][(1+i\sqrt{29}), (1-i\sqrt{29})][/tex], [tex][(1+i\sqrt{26}), (1-i\sqrt{26})][/tex], [tex][(1+i\sqrt{21}), (1-i\sqrt{21})][/tex],
[tex][(1+i\sqrt{14}), (1-i\sqrt{14})][/tex], and [tex][(1+i\sqrt{5}), (1-i\sqrt{5})][/tex].
Step-by-step explanation:
Given that two complex numbers have a product of 30 and the real part of the complex numbers are positive integers.
Let one complex number is [tex]a+ib[/tex] where [tex]a[/tex] is a positive integer and [tex]b[/tex] is a real number.
As the product of two complex numbers is a purely real number, so the other complex number must be the conjugate of the first complex number.
So, another complex number [tex]= a-ib[/tex]
As a product of both the numbers = 30
[tex]\Rightarrow (a+ib)(a-ib)=30 \\\\\Rightarroe a^2 - (ib)^2=30 \\\\\Rightarrow a^2 - (i^2b^2)=30 \\\\Rightarrow a^2 - (-1\times b^2)= 30[/tex] [as i^2=-1]
[tex]\Rightarrow a^2+b^2= 30 \\\\\Rightarrow b^2 = 30-a^2 \\\\[/tex]
[tex]\Rightarrow b=\pm \sqrt {30-a^2} \cdots(i)[/tex]
Now, as a is a positive integer, so by taking possible values of a, we can determine the values of b from the equation (i).
For [tex]a=1[/tex]
[tex]b=\pm \sqrt {30-1^2}=\pm \sqrt {29}[/tex]
The positive sign is for the one number and the negative sign is for the conjugate number (another number).
So, the 1st combination is [tex][(1+i\sqrt{29}), (1-i\sqrt{29})][/tex]
Similarly,
For [tex]a=2[/tex]
[tex]b=\pm \sqrt {30-2^2}=\pm \sqrt {26}[/tex]
So, the 2nd combination is [tex][(1+i\sqrt{26}), (1-i\sqrt{26})][/tex]
For [tex]a=3[/tex]
[tex]b=\pm \sqrt {30-3^2}=\pm \sqrt {21}[/tex]
So, the 3rd combination is [tex][(1+i\sqrt{21}), (1-i\sqrt{21})][/tex]
For [tex]a=4[/tex]
[tex]b=\pm \sqrt {30-4^2}=\pm \sqrt {14}[/tex]
So, the 4th combination is [tex][(1+i\sqrt{14}), (1-i\sqrt{14})][/tex]
For [tex]a=5[/tex]
[tex]b=\pm \sqrt {30-5^2}=\pm \sqrt {5}[/tex]
So, the 5th combination is [tex][(1+i\sqrt{5}), (1-i\sqrt{5})][/tex]
The higher integral value of [tex]a[/tex] is not possible for any real [tex]b[/tex].
Hence, the possible combinations of required numbers are
[tex][(1+i\sqrt{29}), (1-i\sqrt{29})][/tex], [tex][(1+i\sqrt{26}), (1-i\sqrt{26})][/tex], [tex][(1+i\sqrt{21}), (1-i\sqrt{21})][/tex],
[tex][(1+i\sqrt{14}), (1-i\sqrt{14})][/tex], and [tex][(1+i\sqrt{5}), (1-i\sqrt{5})][/tex].
Probability gender of one child
Answer:
about 50% of a girl and 50% of a boy
Step-by-step explanation:
I hope this helps
HELP HELP HELP First to HELP gets the brainliest :D
Answer:
[tex]y= -\frac{1}{3}x -6[/tex]
Step-by-step explanation:
Using the slope formula, you can form this equation! The slope of any equation would replace the m, and the y intercept would replace b!
I added in the slope formula at the bottom, just in case, so you'll see what I mean!
I hope this helps, and I explained enough! Have a great day c:
Determine the unknown angle measure for each triangle. PLS HELP I DONT GET IT LOL IF YOU HELP ME YOULL GET BRAINLIEST PLSSS ASAP
Answer:
Step-by-step explanation:
Hi there.
1a. m C= 44 degrees
46+90= 136 180-136=44
1b. m P= 60 degrees
10+110=120 180-120=60
For future reference, you can solve these with some simple addition. The sum of the angles in any triangle is 180, so add your two given pieces together and subtract it from that to get your missing measure.
2a. Lines a and b have a positive slope. You can tell because they are tilted to the right.
2b. Line d has a negative slope. It's tilted to the left.
(Line c's slope is neither positive or negative because it is zero)
3. x= 65
(I'm not so sure about this one, but I think the angle opposite 25 is also 25, and because of parallel rules the angle above 70 is 110. That means the angle above 110, inside the triangle, is 90. So, we have 90 and 25 and that means 65 is our remaining measure. I really hope this is correct. If you have some sort of notes sheet on the rules of parallel lines and their angle measures, that might be helpful)