Answer:
[tex]Pr = 0.20[/tex]
Step-by-step explanation:
Given
[tex]n_1 = 10[/tex] ---- 10 sided
[tex]n_2 = 6[/tex] --- 6 sided
Required
[tex]P(x_1,x_2 > 4)[/tex]
First, list out the sample space
[tex]S = \{(1, 1) (1, 2) (1, 3) (1, 4) (1, 5) (1, 6)(2, 1) (2, 2) (2, 3) (2, 4) (2, 5) (2, 6)[/tex]
[tex](3, 1) (3, 2) (3, 3) (3, 4) (3, 5) (3, 6) (4, 1) (4, 2) (4, 3) (4, 4) (4, 5) (4, 6)[/tex]
[tex](5, 1) (5, 2) (5, 3) (5, 4) (5, 5) (5, 6) (6, 1) (6, 2) (6, 3) (6, 4) (6, 5) (6, 6)[/tex]
[tex](7, 1) (7, 2) (7, 3) (7, 4) (7, 5) (7, 6) (8, 1) (8, 2) (8, 3) (8, 4) (8, 5) (8, 6)[/tex]
[tex](9, 1) (9, 2) (9, 3) (9, 4) (9, 5) (9, 6) (10, 1) (10, 2) (10, 3) (10, 4) (10, 5) (10, 6)\}[/tex]
[tex]n(S) = 60[/tex] --- total outcomes
The event that the outcome of both is greater than 4 is:
[tex]x_1,x_2> 4 = \{(5, 5) (5, 6)(6, 5) (6, 6)(7, 5) (7, 6) (8, 5) (8, 6)(9, 5) (9, 6) (10, 5) (10, 6)\}[/tex]
[tex]n(x_1,x_2>4) = 12[/tex]
So, the probability is:
[tex]Pr = \frac{n(x_1,x_2>4)}{n(S)}[/tex]
[tex]Pr = \frac{12}{60}[/tex]
[tex]Pr = 0.20[/tex]
-20=-8(a+4)-5(1-5a)
What is a
Answer:
a=1
Step-by-step explanation:
-20=-8(a+4)-5(1-5a)
Distribute
-20 = -8a -32 -5 +25a
Combine like terms
-20 =17a -37
Add 37 to each side
-20+37 = 17a-37+37
17 = 17a
Divide by 17
17/17 = 17a/17
1= a
20.
Determine the type and number of solutions of 7x2 + 3x + 8 = 0.
two imaginary solutions
two real solutions
one real solution and one imaginary solution
one real solution
two real solutions
b2-4ac>0
one real solutions and one imaginary solution
b2-4ac=0
no real solution
b2-4ac<0
a=7
b=3
c=8
(3)^2-4(7)(8)=-215 no real solution
If the scale factor from figure A to figure B is 3:8, find the value of X (giving brainliest and thanks to all!)
Answer:
x = 9
Step-by-step explanation:
Corresponding sides are in proportion, that is
[tex]\frac{x}{24}[/tex] = [tex]\frac{3}{8}[/tex] ( cross- multiply )
8x = 72 ( divide both sides by 8 )
x = 9
(y = −4x−3) ( y = -2x+1 )
can someone plzz help . Write and solve an the equation to find the value of x and the missing angle measures
Answer:
x=9
Angles = 50
Step-by-step explanation:
The angles are alternate interior angles and alternate interior angles are equal
4x+14 = 6x-4
Subtract 4x from each side
4x+14-4x = 6x-4-4x
14 = 2x-4
Add 4 to each side
14+4 = 2x-4+4
18 =2x
Divide by 2
18/2 =2x/2
9 =x
The angles are equal
4x+14 = 6x-4 = 4(9)+14 = 36+14 = 50
30 ≥ 5(6n) Choose the correct answer. n ≤ 2 or
n ≤ 1
Answer:
1 ≥ n
Step-by-step explanation:
30 ≥ 5(6n)
Distribute
30 ≥ 30n
Divide each side by 30
30/30 ≥ 30n/30
1 ≥ n
30 >= 5(6n)
Divide both sides. Y 5:
6 >= 6n
Divide both sides by 6:
1 >= n
Rewrite as: n ≤ 1
plz help asap. i beg
The answer is -15.
Because others are rational numbers but not integers.
-15 is the only rational number and integer.
Sabiendo que la tangente son 4/3 dime el cos y sen estando el angulo en el tercer cuadrante de la circunferencia
Answer:
sen α = - 4/5
cos α = - 3/5
Step-by-step explanation:
tang α = 4/3
De la relación fundamental de la trigonometría sabemos:
sen² α + cos²α = 1
Dividiendo la ecuación anterior por cos² α
sen²α/cos²α + cos²α / cos²α = 1 / cos² α
tang²α + 1 = 1/ cos² α
(4/3)² + 1 = 1/ cos² α ⇒ 16/9 + 1 = 1/ cos² α
1/ cos² α = ( 16 + 9 ) / 9
1/ cos² α = 25/9
cos² α = 9/25
cos α = 3/5
y para calcular el sen α
sen² α = 1 - cos²α
sen² α = 1 - 9/25
sen² α = ( 25 - 9 )/ 25
sen² α = 16/25
sen α = 4 / 5
Ahora bien el angulo α está en el tercer cuadrante, en ese cuadrante tanto el seno como el coseno son negativos.
Respuesta:
sen α = - 4/5
cos α = - 3/5
how do i solve this ?? please explain it to me
Answer:
the first thing that you need to know you need to know you invoice and then you will know how to calculate your equation
What is the Tenth term of 3n+2
Is this statement true or false?
It is a good idea to check the car history using an online site.
O true
O false
John has 8 cards that spell the word H O M E W O R K. She shuffles them and then places them face down. Assume she returns the card on each occasion.
b) What is the probability she will choose a consonant?
Answer:
The probability that I will choose a consonant is 62.50%.
Step-by-step explanation:
Given that John has 8 cards that spell the word H O M E W O R K, and he shuffles them and then places them face down, to determine what is the probability he will choose a consonant the following calculation must be performed:
Vowels: 3
Consonants: 5
5/8 = X
0.625 = X
0.625 x 100 = 62.50
Therefore, the probability that I will choose a consonant is 62.50%.
Find the degree of the polynomial function y=(x-5)(x+5)
Answer:
Step-by-step explanation:
y = (x + 5)(x - 5)
= x² - 5²
= x² - 25
Degree of this polynomial is 2.
Highest power of the variable x will be the degree of the polynomial.
What is sin 45°? O A. 1/2 12 1 OB. NI O C. 1 O D. O E. 1 3 O F. 13 ap.ex
1/√2
Step-by-step explanation:
Imagine a right-angled triangle, for e.g. Triangle ABC,
Where
B = 90°
Remember your Toa Cah Soh.
sin 45° = opposite / hypotenuse
If theta = 45°
Angles A and C = 45° (Sum of angles in a triangle equal = 180°)
Since theta are the same, we can also deduce that the length AB and BC are the same.
Take for example AB = BC = 1 = opposite
By the Pythagorean theorem,
AB² + BC² = AC²
1² + 1² = AC²
2 = AC²
AC = √2 = hypotenuse
Therefore:
sin 45° = opposite / hypotenuse
sin 45° = 1/√2
Ravi bought 3 pens and 4 notebooks for $28. Lola bought 4 pens and 8
notebooks at the same store for $52. How much does one notebook cost?
Answer:
5.50 Each
Step-by-step explanation:
Answer:
Step-by-step explanation:
3P + 4N = 28
6P+ 8N = 56
4P +8N 52
2P = 4
P = 4/2 = 2 = $2
3(2)+4N = 28
4N = 28-6=22
N = 22/4 = 5.5= $5.50= cost of one notebook
Please answer with work shown (only if possible)
Answer:
103.2 km
Step-by-step explanation:
Hi there!
1) Draw a diagram
Please see the picture below.
2) Solve for the length of the diagonal
Because Jacob's path creates a right triangle, we can use the Pythagorean theorem: [tex]a^2+b^2=c^2[/tex] where c is the side opposite the right angle and a and b are the other sides
Plug in the known information
[tex]64^2+81^2=c^2\\64^2+81^2=c^2\\10657=c^2[/tex]
Take the square root of both sides to isolate c
[tex]10657=c^2\\103.2=c[/tex]
I hope this helps!
the diameter of a circle is 12 centimeters. What is the circumference?
Answer:
the circumference is 37.7 cm
Answer:
circumference = 37.7
Step-by-step explanation:
in the photo I explained the formula of how to find the circumference
Which sign makes the statement true?
9
No
12
12
<
=
Answer:
12=12Step-by-step explanation:
#hopeithelpsstay safe and keep wellmark me as brain liest plsWILL MARK BRAINLEIST!!
Answer:
x = 12.26
Step-by-step explanation:
sin = opp/hyp
sin 50 = x/16
multiply both sides by 16
16 * sin50 = x
Use calculator
x = 12.256711089903649
Rounded
x = 12.26
The answer is:
12.26
you multiply both sides
Find the value of x.
Answer:
100
Step-by-step explanation:
The two angles form a straight line which is 180 degrees
5+x +75 = 180
Combine like terms
x+80 = 180
Subtract 80 from each side
x +80-80=180-80
x = 100
Answer:
x=100°
Step-by-step explanation:
(5+x)°+75°=180°(being a straight line)
x=100°
A line has equation y= −2/3 x-4.Write down the y-intercept of the line.
What is the value of xin this triangle?
Enter your answer as a decimal. Round only your final answer to the
nearest hundredth.
32 58
Answer:
33.48
Step-by-step explanation:
Find the diagram attached
Opposite = 32
Hypotnuse = 58
Sin theta = opposite/hypotenuse
Sin theta = 32/58
Sin theta = 0.5517
theta = arcsin(0.5517)
theta = 33.48
Hence the value of x to the nearest tenth is 33.48
Lena rolled two number cubes and recorded the results. What is the experimental probability that the sum of the next two numbers rolled is greater than 5? Please help
Given:
Lena rolled two number cubes and recorded the results.
To find:
The experimental probability that the sum of the next two numbers rolled is greater than 5.
Solution:
If two number cubes rolled, then the total possible outcomes are:
(1,1), (1,2), (1,3), (1,4), (1,5), (1,6), (21,1), (2,2), (2,3), (2,4), (2,5), (2,6),
(3,1), (3,2), (3,3), (3,4), (3,5), (3,6), (4,1), (4,2), (4,3), (4,4), (4,5), (4,6),
(5,1), (5,2), (5,3), (5,4), (5,5), (5,6), (6,1), (6,2), (6,3), (6,4), (6,5), (6,6)
Total number of possible outcomes = 36
The possible cases in which the sum is less than or equal to 5 are (1,1), (1,2), (1,3), (1,4), (2,1), (2,2), (2,3), (3,1), (3,2), (4,1).
In 10 cases the sum is less than or equal to 5. So, the number of cases in which the sum is greater than 5 is:
[tex]36-10=26[/tex]
So, the number of favorable outcomes = 26.
Now, the experimental probability that the sum of the next two numbers rolled is greater than 5 is:
[tex]P=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}[/tex]
[tex]P=\dfrac{26}{36}[/tex]
[tex]P=\dfrac{13}{18}[/tex]
Therefore, the required probability is [tex]\dfrac{13}{18}[/tex].
13. Find the vertex of f(x)=x2 -6x +8 .
a
(3,-1)
b
(-3, 1)
c
(-3,-1)
d
(3, 1)
9514 1404 393
Answer:
a (3,-1)
Step-by-step explanation:
The number that "completes the square" is the square of half the x-coefficient, (-6/2)^2 = 9. Rearranging the given function to include the square trinomial, we have ...
f(x) = x^2 -6x +9 -1 . . . . . . . here, we have 8 = 9 - 1
f(x) = (x -3)^2 -1 . . . . . . . . . . vertex form
Comparing this to the generic vertex form ...
f(x) = (x -h)^2 +k . . . . . . . vertex at (h, k)
we see that h=3 and k=-1.
The vertex is (h, k) = (3, -1).
Which of the binomials below is a factor of this trinomial?
x^2 + 13x+42
Answer:
x+6 and x+7
Step-by-step explanation:
Given the quadratic equation;
x^2 + 13x + 42
Factorize
x^2+13x+42 = 0
x^2 + 7x + 6x + 42 = 0
x(x+7)+6(x+7) = 0
(x+6)(x+7) =0
Hence the required binomials are x+6 and x+7
A coordinate plane with a line passing through (negative 4, 3), (0, 1), and (2, 0). What are the slope and y-intercept of the linear function graphed to the left?
Answer:
0,1
Hope it helps!
if your talking about edge
slope: -½
y-intercept: 1
Step-by-step explanation:
B
If Esteban counted the number of steps it took him to school .And he counted 1,138 steps how many steps does he take walking to school
Answer:
1,138 steps
Step-by-step explanation:
According to the scenario, computation of the given data are as follows,
Steps counted to school = 1,138
So, we can calculate the steps he take walking to school by using following formula,
Steps take walking to school = Steps he counted to school
So, Steps take walking to school = 1,138 steps
Hence, Esteban take 1,138 steps while walking to school.
{WILL GIVE BRAINLIEST} pls solve show work or just do on paper and send me a picture
Answer:
you torched a kid today
Step-by-step explanation:
i hope you are happy:(
**PLEASE HELP**
I really need someone to show work on how this equation is solved. I'll give you brainliest if you do!
The blank is the number that should go there
100, 103,__118, 130, 145...
