A die used in a certain board game has eight faces, of which 3 are red, 3 are yellow, and 2 are blue. Each face is equally likely to land faceup when the die is tossed. In the game, a player tosses the die until blue lands faceup, and the number of tosses before blue lands faceup is counted. For example, a player who tosses the sequence shown in the following table has tossed the die 3 times before blue lands faceup. What is the probability that a player will toss the die at least 2 times before blue lands faceup? A 0.1406 B 0.4219 C 0.4375 D 0.5625 E 0.5781
Answer: 0.5625
Step-by-step explanation:
Using the binomial distribution, it is found that the probability that a player will toss the die at least 2 times before blue lands face up is:
D 0.5625
For each toss, there are only two possible outcomes, either blue lands face up, or it does not. The probability of blue landing face up on a toss is independent of any other toss, which means that the binomial distribution is used to solve this question.
Binomial probability distribution
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes. n is the number of trials. p is the probability of a success on a single trial.In this problem:
2 out of the 8 faces are blue, hence [tex]p = \frac{2}{8} = 0.25[/tex]The probability that a player will toss the die at least 2 times before blue lands face up is P(X = 0) when n = 2, hence:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{2,0}.(0.25)^{0}.(0.75)^{2} = 0.5625[/tex]
Hence, option D is correct.
A similar problem is given at https://brainly.com/question/24863377
HElp And THAnkS ASAP
Answer:
B. M - J = 6
Step-by-step explanation:
Mike won 6 more games than Jeanie
so J + 6 = M
Subtract J from both sides of the equation
J - J + 6 = M - J
Simplify
6 = M - J
or
M - J = 6
Can the following lengths be
used to form a right triangle?
Explain.
Length 1: 15 units
Length 2: 20 units
Length 3: 35 units
The domain of rational function gis the same as the domain of rational function f. Both f and g have a single x-intercept at x = -10. Which
equation could represent function g?
A. g(x) = 10px)
B. 8(x) = f(x + 10)
C. 8(x) = f(x) + 10
D. g(x) = f(x) - 10
What is the value of u? (pls help and no links)
Answer:
I think 44 degrees
Step-by-step explanation:
73-29=44
Answer:
44
Step-by-step explanation:
The value of u, combined with the angle directly next to it (with the measurement of 29°), is a vertical angle to the opposite given angle (73°).
Note that, by the definition of vertical angles, angles directly next and opposite of each other have the same measurement. Set the equation:
u + 29 = 73
Isolate the variable, u. Note the equal sign, what you do to one side, you do to the other. Subtract 29 from both sides:
u + 29 (-29) = 73 (-29)
u = 73 - 29
u = 44
44° is your answer for u.
~
The midpoint of QR is (4, -1).
Q = (3.1)
What are the coordinates of point R?
Answer:
(5,-3)
Step-by-step explanation:
Given that,
The coordinates of Q = (3,1)
The midpoint of QR = (4,-1)
We need to find the coordinates of point R.
We know that, according to mid-point theorem,
[tex](x_m,y_m)=(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2})[/tex]
Let (x₂,y₂) be the coordinates of point R.
So,
[tex](4,-1)=(\dfrac{3+x_2}{2},\dfrac{1+y_2}{2})\\\\\dfrac{3+x_2}{2}=4\ and\ \dfrac{1+y_2}{2}=-1\\\\3+x_2=8\ and\ y_2+1=-2\\\\x_2=5\ and\ y_2=-3[/tex]
So, the coordinates of point R is (5,-3).
Find the area of the figure. HELP PLZ
Answer: 1075 sq. ft
Step-by-step explanation:
A = length times width
First split the shape into two rectangles
Area of rec 1 = 25 times 8 = 200
Area of rec 2 = 35 times 25 = 875
200+875 = 1075 sq. ft
Point P lies on circle C, x^2+y^2=36. There are two unique tangents to circle D, x^2+y^2=18 that pass through point p. What is the measure of the angle between the two tangent lines?
Answer:
90°Step-by-step explanation:
Refer to attached
Red circle is C with radius 6 and green circle is D with radius √18.
PM and PN are tangents to circle D.
M and N are right angles as tangents are perpendicular to radius.
We need to find the measure of ∠MPN.
We'll work out this angle using trigonometry:
OM / OP = sin (∠MPO) sin (∠MPO) = √18/6 = √2/2m∠MPO = arcsin ( √2/2) = 45°∠NPO is same as ∠MPO, therefore:
m∠MPN = 45°*2 = 90°you are packing gifts for the annual holiday decorations the boxes you have been given measure 10 inches in length 6 in in within 12 inches in height the gifts this year smaller so you need smaller boxes you order new boxes with Dimensions that equal the dimensions of the large boxes times a scale factor of 1/2 what is the volume of each new box
Answer:
I dont know can u explaining more
Step-by-step explanation:
its not clear too much
Suppose that there are 27 sophomores and 14 juniors in a Physiology class. Two students are chosen at random to participate in a class demonstration. What is the
probability of choosing two students at random and the first is a junior and the second one is a sophomore? Round your answer to four decimal places, if necessary.
Find the real root of the equation x3 + x2 - 1 = 0 by
using iteration method.
Answer:
i cant help that much but u can try using photomath
Find the distance between the two points.
(4,5)
(-4,1)
✓ [?]
Enter the number that
goes beneath the
radical symbol.
9514 1404 393
Answer:
80
Step-by-step explanation:
The distance formula tells you the distance between the points is ...
d = √((x2 -x1)² +(y2 -y1)²)
d = √((4 -(-4))² +(5 -1)²) = √(8² +4²) = √(64 +16)
d = √80
The number under the radical is 80.
Pls someone help me with this question pls
Answer:
c
Step-by-step explanation:
trust me i am did the test aredy
For the following geometric sequence, find the recursive formula.
[-80, 20, -5, ...}
For 11-14, fill in the blank with >, <, or =.
Answer:
first one is =
second one is ≥
third one is =
forth one is =
5. Higher Order Thinking Explain how to
find 35 + 9.
Use equations to show your thinking.
6. A
to us
9 +3
Answer:
9+8=17+9+9=18=35+9=44
PLZ ANSWER NO FAKE LINKS OR SAYING I READY ISNT ALLOWED
Answer:
Answer 2 i think
i did it myself and that what got i might have done it wrong.
use the distributive property to write equivpressions by filling in the blanks .
5(k+2) = (5+ __ ) + (5 ___ )
= __ + ___
Answer:
5(k+2) = (5 · k) + (5 · 2)
= 5k + 10
Answer:
5(k+2) = (5+ k+2 ) + (5 __k_ )
= _k_ + _2__ I may be wrong sorry
Let z = 11 (cos(1) + i sin (1) and w=7(cos(1) + i sin (1)
What is zw?
A: 11/7(cos(pi/6) + i sin (pi/6)
B: 77(cos(pi/6)+ i sin (pi/6)
C:12(cos(pi/12) + i sin ( pi/12 )
D: 77 (cos(pi/12) + i sin (pi/12)
GIVING OUT BRAINLIEST ANSWER HELP ME ASAP!!! pleaseeeee
Answer:
the answer is 29.7
Step-by-step explanation:
inverse tangent of (4/7)
Solve 169x^2-42.25=0 by using square roots?
NEED HELP!!!
Answer:
x = 1/2 , x = -1/2
Step-by-step explanation:
Given equation;
169x² - 42.25
Find:
Solution of equation using square root
Computation:
169x² - 42.25
We know that 13² = 169 and 6.5² = 42.25
So,
[13x]² - [6.5]²
a² - b² = (a + b)(a - b)
So,
[13x]² - [6.5]² = [13x + 6.5][13x - 6.5]
So,
13x + 6.5 = 0 , 13x - 6.5 = 0
x = 6.5 / 13 , x = -6.5 / 13
x = 1/2 , x = -1/2
there's a 100 dollar stuck up 12 feet up a building and you buy a 15 foot ladder that can be safely leaned at a 60 degree angle, can you reach the bill?
rewrite the expression using sixths 1 1/3 - 1/2 = 4/3 - 1/2
Answer:
8-3=8-3
Step-by-step explanation:
What is the volume of a figure with that is 2 inches wide, 7 inches tall and 9 inches
Pls help
Answer:
126
Step-by-step explanation:
What is the volume of a figure with that is 2 inches wide, 7 inches tall and 9 inchesn = Whereas the basic formula for the area of a rectangular shape is length × width, the basic formula for volume is length × width × height.
2x7x9 = 126
Answer:
126 inches³
Step-by-step explanation:
The volume of a figure is l×w×h.
So,
9 × 2 × 7 = 126
17. Find the ratio of the perimeter to the area of the square shown.
x + 3
x + 3
Answer:
4x+12/x^2+9
Step-by-step explanation:
Perimeter
x+3+x+3+x+3+x+3
Area
(x+3)(x+3)
Been stuck for the longest
Answer:
Since 2√7 = 5.29, move the circle over to the third dash after the five.
Step-by-step explanation:
Since 2√7 = 5.29, move the circle over to the third dash after the five.
Drag each number from the box to complete the equations that follow. Each number may be used once, more than once, or not at all.
(36÷__) − (36 ÷__ )=5
(__× 3) − __ =12
these are the choices 12 8 9 and 4
Answer:
(36/4)-(36/9)=5
(8*3)-12=12
Answer:
(36÷4) - (36÷9) = 5
(8x3) - 12 = 12
Measurement of a circle
(Giving brainliest to correct answer)
Answer:
See below
Step-by-step explanation:
1. True
2. False
3. True
Hey! I am stuck on this question anyone mind helping me? and tysm for the people who helped me! <3 have a nice day!
If a pyramid prism has a height of 12 ft and a square base with side = 10
ft. What is the surface are of the pyramid?
160 sq. ft
1,340 sq. ft
240 sq. ft
340 sq. ft