Answer:
[tex]Sets = 27[/tex]
Step-by-step explanation:
Given
[tex]Coin = 1[/tex]
[tex]Toss = 5[/tex]
Required
Number of outcomes with at most 3 heads
First, we list out the sample space of a toss of coin 5 times
[tex](HHHHH)[/tex], [tex](HHHHT)[/tex], [tex](HHHTT)[/tex], [tex](HHTTT)[/tex], [tex](HTTTT)[/tex], [tex](TTTTT)[/tex], [tex](TTTTH)[/tex], [tex](TTTHH)[/tex], [tex](TTHHH)[/tex], [tex](THHHH)[/tex], [tex](HTHTH)[/tex], [tex](THTHT)[/tex], [tex](HHTHH)[/tex], [tex](TTHTT)[/tex], [tex](HTTHT)[/tex], [tex](THHTH)[/tex], [tex](THHHT)[/tex], [tex](HTTTH)[/tex], [tex](THHTT)[/tex], [tex](HTTHH)[/tex], [tex](HHTTH)[/tex], [tex](TTHHT)[/tex], [tex](TTHTH)[/tex], [tex](HHTHT)[/tex], [tex](HTHTT)[/tex], [tex](THTHH)[/tex], [tex](THTTH)[/tex], [tex](HTHHT)[/tex], [tex](HTHTT)[/tex], [tex](THTHH)[/tex], [tex](HHHTH)[/tex], [tex](TTTHT)[/tex]
Next, we list out all outcomes with at most 3 heads
, , [tex](HHHTT)[/tex], [tex](HHTTT)[/tex], [tex](HTTTT)[/tex], [tex](TTTTT)[/tex], [tex](TTTTH)[/tex], [tex](TTTHH)[/tex], [tex](TTHHH)[/tex], , [tex](HTHTH)[/tex], [tex](THTHT)[/tex], , [tex](TTHTT)[/tex], [tex](HTTHT)[/tex], [tex](THHTH)[/tex], [tex](THHHT)[/tex], [tex](HTTTH)[/tex], [tex](THHTT)[/tex], [tex](HTTHH)[/tex], [tex](HHTTH)[/tex], [tex](TTHHT)[/tex], [tex](TTHTH)[/tex], [tex](HHTHT)[/tex], [tex](HTHTT)[/tex], [tex](THTHH)[/tex], [tex](THTTH)[/tex], [tex](HTHHT)[/tex], [tex](HTHTT)[/tex], [tex](THTHH)[/tex], [tex](TTTHT)[/tex]
So, the number of set is:
[tex]Sets = 27[/tex]
If the ratio of a to b is 2.3 and the ratio
of to bis 3:4, which of the following is
equal to the ratio of a to c.?
Answer:5.7 D
Step-by-step explanation:
determine which two values the following expression is between.
Answer:
Between 12.8 and 12.9
Step-by-step explanation:
Firstly, we would need to get the value of the surd
So we have this as;
2 √41 = 12.81
Now, looking at the options, we can see that it lies between 12.8 and 12.9; this is our answer
m.c.m (35;50)
m.c.d (35;50)
m.c.m (116;92)
m.c.d (116;92)
Answer:
hxgdhsksuflskjtnsjfbdyfyjagdjxfhhfbejfbodwkkgodl
what is the formula for finding the length of a line on the cartesian plane.
Answer:
Step-by-step explanation:
distance = square root [ [tex](x2-x1)^{2}[/tex] + [tex](y2-y1)^{2}[/tex] ]
where you have two points on the line
Point 1 = P1 = (x1,y1)
point 2 = P1 =(x2,y2)
Given that a:b = 4 : 5 and a : c = 3 : 4,find the ratio of 5b : 3c
Answer:
5b: 3c = 25 : 16
Step-by-step explanation:
[tex] \frac{a}{b} = \frac{4}{5} \: and \: \frac{a}{c} = \frac{3}{4}[/tex]
dividing both to get a : c
[tex] \frac{a}{b} \times \frac{c}{a} = \frac{4}{5} \times \frac{4}{3} \\ \frac{c}{b} = \frac{16}{15} \\ [/tex]
inverting the fractions
[tex] \frac{b}{c} = \frac{15}{16} [/tex]
multiplying the numerator by 5 and denominator by 3
[tex] \frac{5b}{3c} = \frac{5 \times 15}{3 \times 16} \\ = \frac{75}{48} \\ = \frac{25}{16} [/tex]
therefore,
5b: 3c = 25 : 16
How do you calculate 3x-9y?
Answer: 3(x-3y)
Step-by-step explanation: first you have to take the 3x and split it up so it can make 3(x-3y) then you have to rewrite it to -9 as 3x3 and then factor out common term 3 which would be your final answer 3(x-3y)
Solve the inequality
x^2+7x+10< 0
Answer: -5 < x < -2 or (-5, -2)
Step-by-step explanation:
Graph- (-5, -2)
Inequality- -5 < x < -2
pls help me with this
Express 0.0065184 in 3 significant figures
Answer:
I believe it would be 6.5184*10^-3
Step-by-step explanation:
If wrong please tell me
FOR EASY BRAINLIEST ANSWER QUESTION BELOW!
1. Solve each word problem .twice a number added three times the sum of the number and 2 is more than 17. Find the numbers that satisfy condition
Answer:
56
Step-by-step explanation:
Find x. Round to the nearest hundredth
Answer:
x ≈ 15.66
Step-by-step explanation:
Using the sine ratio in the right triangle
sin50° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{12}{x}[/tex] ( multiply both sides by x )
x × sin50° = 12 ( divide both sides by sin50° )
x = [tex]\frac{12}{sin50}[/tex] ≈ 15.66 ( to the nearest hundredth )
What is the measure of EA?
A)21
B)36
C)51
D)30
20 is what percent of 52? Round your answer to the nearest tenth.
20 is about
5
% of 52.
The number x percent of 52 gives 20. Thus, the number x would be equal to 38.5.
What is the percentage?A percentage is a minimum number or ratio that is measured by a fraction of 100.
We need to find the number x percent of 52 which gives 20.
x% of 52 = 20
x/100 × 52 = 20
x = 20 × 100/ 52
x = 0.384615
convert it to a percentage by multiplying by 100
38.4615
round to the nearest tenth
38.5
Learn more about percentages;
https://brainly.com/question/13450942
#SPJ2
Worth 11 points please help me!
Answer:
124°
I hope it's helps you
One of Eric's steps is 18in long. How many steps would he take to walk 1 mile?
Answer:
3520 steps
Step-by-step explanation:
The first thing we must do is figure out how many inches are in a mile. (There are 63,360 inches in one mile). With that out of the way, we can now divide these inches by 18, since each of Eric's steps are 18 inches long, and we want to determine how many steps he would have to take. 63,360 divided by 18 is 3520. This means our answer is 3520 steps, and that is how many steps he must take to walk 1 mile. I hope you understood and please let me know if you still need help!
Answer: 3520 steps
Step-by-step explanation:
1 mile = 63360 inches1 step = 18 inUse proportions and set x = number of steps in a mile:
[tex]\frac{1}{18 in}=\frac{X}{63360 in}[/tex]
18x = 63360
x = 63360 ÷ 18 = 3520 steps.
O A. y = (x + 3)2 + 5
O B. y= (x - 5)2 + 3
O c. y = (x + 3)2-5
O D. X=-3(y + 5)2
Using f(x) = 4x + 6 with a domain of {-1, 0, 2 }, find the range.
Answer:
{2, 6, 14}
Step-by-step explanation:
Using f(x) = 4x + 6 with a domain of {-1, 0, 2 }, find the range.
To get the range, we will substitute the values of the domain into the given function as shown;
when x = -1
f(-1) = 4(-1)+6
f(-1) = -4+6
f(-1) = 2
when x = 0
f(0) = 4(0)+6
f(0) = 0+6
f(0) = 6
when x = 2
f(2) = 4(2)+6
f(2) = 8+6
f(2) = 14
Hence the required range are {2, 6, 14}
If f(n) = 4n + 7 and g(n) = 2n + 3, find (g - f)(n).
2(n-4)
4- 2n
-2n - 4
2n + 4
Step-by-step explanation:
=(g-f)(n)
=4n+7-2n-3
=2n+4
what is the solution to the equation below? 6x=2x+24
Answer:
x=6
Step-by-step explanation:
First, we combine like terms.
6x=2x+24
6x-2x=24
4x=24
Then we divide both sides by 4.
x=6
Answer:
x=6
Step-by-step explanation:
6x=2x+24
Transpose 2x to the other side
6x-2x=24
4x=24
x=24/4=6
x=6
Hope this helps
Please mark me as brainliest
Suppose you find that the correlation coefficient for a set of data is 0.826. What is the coefficient of determination and what does it mean?
Answer:
[tex]r^2 = 0.826^ 2 =.6822[/tex]
[tex]r^2 =[/tex] a measure of how strong the ("how fit") the relationship is
it is always positive between 0 and 1
Step-by-step explanation:
coefficient of determination = r^2
r^2 = 0.826^ 2 =.6822
Find x
Help me please
Answer:
19
Step-by-step explanation:
please help ,,
supply the missing reason in statement 4 of the proof of the isosceles triangle theorem.
Answer:
h
Step-by-step explanation:
In order to solve a quadratic equation by completing the square, what does the coefficient of the squared term need to be? If the coefficient is not equal to this, what does your first step need to be to complete the sqaure?
Answer:
For completing the square, you need the coefficient of the x^2 term to be 1.
http://www.1728.org/quadr2.htm
Step-by-step explanation:
Which is a simplified form of the expression -6a + 2(2a + 2)?
A.-2a + 4
B. -2a - 4
C. 2a + 4
D. 2a - 4
Answer:
-2a +4
Step-by-step explanation:
-6a + 2(2a + 2)
Distribute
-6a +4a +4
Combine like terms
-2a +4
Answer:
Answer A is correct
Step-by-step explanation:
First Solve the brackets
[tex] - 6a + 2(2a + 2) \\ - 6 a+ 4a + 4[/tex]
Then combine like terms
[tex] - 6 a+ 4a + 4 \\ - 2 a + 4[/tex]
Que cantidad se obtiene al resolver la siguiente operacion: [4+{(2-5)2-4(7-5)3+2(15/3)}]- Raiz cuadrada de 16
Respuesta:
-13
Explicación paso a paso:
Dada la ecuación:
[4 + {(2-5) ²-4 (7-5) ³ + 2 (15/3)}] - Raíz cuadrada de 16
La raíz cuadrada de 16 se escribe como √16
[4 + {3² - 4 (2³) + 2 (5)} - √16
4 + {9 - 4 (2 * 2 * 2) + 10} - 4
4 + {9 - 4 (8) + 10} - 4
4 + {9 - 32 + 10} - 4
4 - 13 - 4
= -13
Kato must write 60 percent of a 20- page report by tommorow. Kato wants to determine the number of pages that he needs to write by Tommorow. Katos work is shown below
Answer:
60% of 20 pages = .6 * 20 = 12 pages
Step-by-step explanation:
What is the equation of the following line written in general form? (The y-intercept is -1.)
Answer:
2x-y-1=0
Step-by-step explanation:
.
Which arcs are congruent?
OSP and SR
O PQ and SR
O PQ and QR
O SP and PR
PLEASE HELP
the answer is in the picture
The congruent arcs are P Q and S R
What is congruent?In geometry, congruent refers to equality, agreement in form.
Given:
< P T Q = < S T R
since they are congruent they are equal therefore arcs formed from them are congruent .
Arcs formed from them
P Q is from < P T QS R is from < S T RRead more on congruent here: https://brainly.com/question/2938476
What value of x is in the solution set of
[tex]3(x - 4) \geqslant 5x + 2[/tex]
A. -10
B. -5
C. 5
D. 10
Answer:
Option A: x = -10 is a solution.
Step-by-step explanation:
Here we have the inequality:
3*(x - 4) ≥ 5*x + 2
We can solve this for x as follows:
first, expand the left side:
3x - 12 ≥ 5x + 2
now, move all the terms with x to one side, and the other terms to the other side:
-12 - 2 ≥ 5x - 3x
-14 ≥ 2x
now let's divide both sides by 2
-14/2 ≥ 2x/2
-7 ≥ x
So the solutions are values smaller than -7
In the options, the only value smaller than -7 is the first one:
A: -10
Then the correct option is A.
¿cual es el porcentaje de ganancia de un comerciante que vende a $4600 un producto que compró a $4000?(con desarrollo)
Respuesta:
15%
Explicación paso a paso:
Dado :
Precio de compra = $ 4000
Precio de venta = $ 4600
El beneficio obtenido por la venta del artículo:
Precio de venta - precio de compra
$ (4600-4000) = $ 600
El porcentaje de beneficio obtenido:
Beneficio / precio de compra * 100%
600/4000 * 100%
600/4000 * 100%
0,15 * 100%
= 15%
WOrth 10 pts ... pls help