Using the binomial distribution, it is found that the expected score of the game is of 21.
What is the binomial probability distribution?It is the probability of exactly x successes on n repeated trials, with p probability of a success on each trial.
The expected number of trials until q successes is:
[tex]E_s(X) = \frac{q}{p}[/tex]
In this problem, a die has a p = 1/6 probability of resulting in a 1, hence the expected number of trials is:
[tex]E_s(X) = \frac{1}{\frac{1}{6}} = 6[/tex]
In each trial, each outcome from 1 to 6 is equally as likely, hence the expected score of a single trial is given by:
[tex]E = \frac{1 + 6}{2} = 3.5[/tex]
Then, the expected score of the six trials is:
6 x 3.5 = 21.
More can be learned about the binomial distribution at https://brainly.com/question/24863377
Instructions: Find the measure of the indicated angle.
Answer:
42 degrees
Step-by-step explanation:
The measure of the indicated angle is 42 degree.
What is Isosceles Triangle ?An isosceles triangle has two equal sides regardless of the direction the apex (or peak) of the triangle points. Some useful information regarding isosceles triangles is as follows:
It has two parallel sides.It has two equal angles, which are known as the basis angles.A right isosceles triangle is one in which the third angle is 90 degrees.We have a Triangle.
Then, using Isosceles Triangle Theorem
Angles opposite an isosceles triangle's equal sides are also equal.
According to the isosceles triangle theorem, if two sides of a triangle are congruent, then the angles opposite the congruent sides are likewise congruent.
So, x= 42 degree.
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solve the inequality 4x-7 > -12x+14/4
Answer:
x > 21/32
Step-by-step explanation:
I've used an app but for some reson it won't let me tell you.
Find the area of a triangle ABC when m
Answer:
29.02
Step-by-step explanation:
The area of traingle formula with two sides and one angle is:
[tex]A = ab\frac{siny}{2}[/tex]
When you put the values in, you can simplify it and put it into a calculator for sin. And, you then have your answer.
Triplets Peter, Reeta and Nikita have two ways for getting home from school each day: cycle on a tandem bike or walk. The bike can carry either one or two riders at a time. Regardless of the number of people pedalling, cycling speed is 5 times walking speed. The triplets always leave school at the same time and always use the same path between school and home, whether walking or cycling. The school is 5km from home and their walking speed is 4 kilometres per hour. A On Monday, Nikita and Peter cycle and Reeta walks. On reaching the point four-fifths of the way home the bike gets a puncture, so Nikita and Peter walk the rest of the way home. How far from school is Reeta when the cyclists arrive home?
The distance between Reeta and the school when the cyclists arrive the home for this case is found being 2 km
How to form mathematical expression from the given description?You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.
How to find the speed of an object?If the object is going linearly, and at constant speed, then the speed of that object is given by the distance it traveled to the time it took to travel that distance.
If the object traveled D distance in T units time, then that object's speed is
[tex]Speed = S = \dfrac{\: Distance \: traveled}{\: Time \: taken} = \dfrac{D}{T} \: \rm unit \: length/unit \: time[/tex]
Given that:
Distance from school to home = 5 kmWalking speed = 4 km / hoursCycling speed = 5 times walking speed = 20 km / hourThey all go and come together to and from school/home.On monday: Nikita and Peter are coming by cycle, and Reeta walks.Cycle punctures at four fifth of the way home = [tex]\dfrac{4}{5} \times 5= 4\: \rm km[/tex] from school (as they're coming towards home, so went from school)After puncture, cyclists walk to homeTo find: Disance of Reeta from school when cyclist reach home.
Suppose at time 0 hours, all three people departed from school (on that monday).
After 't' hours, suppose the cycle gets punctured.
Then, as the cycle was going by 20 km / hour speed, so in 't' hours, it must have covered d kilometers (suppose),
then we get:
[tex]S = \dfrac{D}{T}\\\\20 = \dfrac{d}{t}\\\\d = 20 t \: \rm km[/tex]
This distance is measured from school. But we know that this distance is 4 km, so we get:
[tex]20t = 4\\t = \dfrac{4}{20} = 0.2 \: \rm hours[/tex]
The remaining 1 km (as home is 5 km away from school and 4 km is already traveled) is walked by Cyclists. And walking speed is 5 km / hour, so let they take T hours to travel that 1 km walking, then we get:
[tex]S = D/T\\\\5 = \dfrac{1}{T} \\\\T = 0.2 \: \rm hours[/tex]
So, total time cyclists took to reach home from school is: [tex]0.2 + 0.2 = 0.4 \: \rm hours[/tex]
Reeta is walking that whole 5 km.
The time the cyclist reached home, Reeta had walked for 0.4 hours as they had started at the same time, and it took cyclists 0.4 hours to reach home.
Thus, we have:
Time taken 0.4 hours, speed of Reeta = walking speed= 5 km/hour, then we get:
[tex]S = D/T\\D = ST\\D = 5 \times 0.4 = 2 \: \rm km[/tex]
So Reeta was 2 km away from school when cyclists reached home on that monday.
Thus, the distance between Reeta and the school when the cyclists arrive the home for this case is found being 2 km
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If 3p-5t=9 What will be the value of 12p- 20t
Answer:
36
Step-by-step explanation:
[tex]12p-20t=4(3p-5t)[/tex]
Substitute [tex]3p - 5t = 9[/tex] into the equation:
[tex]\implies 12p-20t=4(9)=36[/tex]
33% of 55 cm is what?
Answer:
18.15 cm
Step-by-step explanation:
.33 is 33% in decimal
.33 * 55 cm = 18.15 cm
20pts each please help!!
solve for x
x - 1 2 (8 - x) = x + 3(4 - x) - x
Answer:
The correct answer is x = 32/9
Step-by-step explanation:
You must multiply the given numbers from left to right, resulting in:
x - 4 + x/2 = x + 12 - 3x - x
Then, by combining phrases on both sides that are similar, we get:
(3/2)x - 4 = -3x + 12
By adding 4 to both sides of the equation, it becomes:
(3/2)x = -3x + 16, or
3/2)x + (6/2)x = 16, which may be written as:
3x + 6x = 32, or 9x = 32
Therefore, the answer is x = 32/9
I hope this helps! ^-^
A blood drive is being held at a local library. The coordinators of the drive wish to provide cylindrical cup of water to each participant. Each cup measures 5 inches tall with a radius
of 2 inches. How much water will each cup fold if filled to only 4 inches? Round to the nearest hundredth.
Answer:
50.24
Step-by-step explanation:
the formula to find a circle is radius times radius times pi, which equals 3.14. The radius is 2 so radius times radius would be 4. Now u times it by pi so 4 times 3.14 equals 12.56. Do this times ur hight wich is times 4 and u come up with 50 .24
f
What is the value of this expression?
4+3×(8−2)+4
(1) 26
(2) 30
(3) 46
(4) 70
Answer:
[tex]\Longrightarrow: \boxed{\sf{26}}[/tex]
Step-by-step explanation:
Use the order of operations.
PEMDAS stands for:
ParenthesesExponentsMultiplyDivideAddSubtract4+3(8-2)+4First, solve parentheses.
(8-2)=6
Rewrite the problem down.
4+3*6+4
Multiply the numbers from left to right.
3*6=18
4+18+4
Add the numbers from left to right.
4+18=22
22+4=26
[tex]\Longrightarrow: \boxed{\sf{26}}[/tex]
Therefore, the correct answer is 26.I hope this helps! Let me know if you have any questions.
9n^2-10=890 solve by taking square roots
Answer:
n=3.3
Step-by-step explanation:
9n²-10=890 1. + 10 on both sides
9n² = 900
[tex]9n²[/tex]= 9n
[tex]900[/tex] = 30
9n=30 2. /9 on both sides
n=3.33
the 3's repeat
In which quadrant does θ lie given that sinθ < 0 and cosθ < 0? Thank You!
Quadrant I
Quadrant II
Quadrant III
Quadrant IV
Answer:
Quadrant III
Step-by-step explanation:
sin and cos are both less than zero thus negative
the x and y axis are both negative in QIII
sorry if the explaination is wrong but I know the answer is right bc I took the test
Hello! Mikosan here to help doll!
The Answer is: Quadrant 3
I hope this helps doll!
Have a great day love~
Please Help It Was Due Yesterday!!!!
What is the 8th term in the Sequence?
An=25-3n
Answer:1
Step-by-step explanation:
Answer:
a₈ = 1
Step-by-step explanation:
substitute n = 8 into the nth term rule
a₈ = 25 - 3(8) = 25 - 24 = 1
Determine the type of triangle that is drawn below. no bots allowed
Answer:
Its a - Isosceles Right Triangle -
Step-by-step explanation:
It has two equal length sides and is a right triangle
Please help! Will mark brainlyest.
Answer:
58
Step-by-step explanation:
(50 points) need help with khan practice geometry
The awnser is 60 because
It is a cube so it has the smae amout of sides
Which is the best approximation for the measure of angle xyz? 33.6° 39.8° 50.2° 56.4°
The best measure of the angle ∠XYZ is given by: Option B: 39.8°
What are the six trigonometric ratios?Trigonometric ratios for a right angled triangle are from the perspective of a particular non-right angle.
In a right angled triangle, two such angles are there which are not right angled (not of 90 degrees).
The slant side is called hypotenuse.
From the considered angle, the side opposite to it is called perpendicular, and the remaining side will be called base.
From that angle (suppose its measure is θ),
[tex]\sin(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of Hypotenuse}}\\\cos(\theta) = \dfrac{\text{Length of Base }}{\text{Length of Hypotenuse}}\\\\\tan(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of base}}\\\\\cot(\theta) = \dfrac{\text{Length of base}}{\text{Length of perpendicular}}\\\\\sec(\theta) = \dfrac{\text{Length of Hypotenuse}}{\text{Length of base}}\\\\\csc(\theta) = \dfrac{\text{Length of Hypotenuse}}{\text{Length of perpendicular}}\\\\[/tex]
The missing figure is attached below.
From the given figure, if we see from the angle x which is ∠XYZ, the hypotenuse is YZ, perpendicular = XZ with length 10 inches, and base XY with length 12 inches.
Since perpendicular and base are specified, we can directly use tangent ratio and then its inverse to find the measure of the ∠XYZ, as shown below:
[tex]\tan(\angle XYZ) = \dfrac{|XZ|}{|XY|} = \dfrac{10}{12}\\\\\angle XYZ = \tan^{-1}\left(\dfrac{10}{12}\right) \approx 39.8^\circ[/tex]
Thus, the best measure of the angle ∠XYZ is given by: Option B: 39.8°
Learn more about inverse trigonometric functions here:
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Answer:
b
Step-by-step explanation:
took the test
Giving brainliest to best answer! I need both of these done by 10:50! Pls help!
Hope it helps.
Do comment if you have any query.
Determine the solution(s) to f(x) = g(x) given the graph below.
Answer:
(-1,-3) and (1,-1)
Sometimes you give the solutions as just the x.
x = -1 and x = 1
Step-by-step explanation:
The two curvy pieces are f(x) and the straight line is g(x). The solutions are where the two graphs intersect. There are two points where this happens: (-1,-3) and (1,-1).
Sometimes your teacher, the text or the course just wants you to give the answer as the x where it happens. The graphs intersects where x=-1 and x=1
Which of the following is true about the base b of a logarithmic function? b > 0 and b = 1 b > 0 and b not-equals 1 b < 0 and b not-equals 1 b < 0 and b = 1
The statement which is true of the base, b of a logarithmic function is; b > 0 and b = 1.
What is the base of a logarithmic function?When the base of a logarithmic function is set to a negative number, it follows that;
Such a logarithmic function wouldn't give us any real solutions.
So the base CAN NOT be negative.
Putting together all 3 conclusions, we can say that the base of a logarithm can only be positive numbers greater than 1.
Hence, the statement which is true of the base, b of a logarithmic function is; b > 0 and b = 1.
Read more on logarithmic functions;
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Answer:
b > 0 and b = 1.
Step-by-step explanation:
Solve the system of equations y = 2x^2 + x – 6 and y = 4
Step-by-step explanation:
Substitute y = 4 into the first equation:
[tex]4=2x^2+x-6[/tex]
Subtract 4 from both sides:
[tex]2x^2+x-10=0[/tex]
We can factor in order to find values of x.
Factor the equation:
[tex]2x^2+x-10=0[/tex]
Factors of 10 we'll use:
5 and 2.
[tex](2x+5)(x-2)=0[/tex]
Set the parentheses equal to 0 then find the values of x:
[tex](2x+5)=0[/tex]
[tex]x=-2\frac{1}{2}[/tex]
[tex](x-2)=0[/tex]
[tex]x=2[/tex]
[tex]x=2, \: or \: -2\frac{1}{2} .[/tex]
Check:
[tex]4=2(2)^2+2-6[/tex]
[tex]4=2(4)+2-6[/tex]
[tex]4=4 \: \checkmark[/tex]
[tex]4=2(-2\frac{1}{2} )^2-2\frac{1}{2} -6[/tex]
[tex]4=2(6\frac{1}{4})-2\frac{1}{2} -6[/tex]
[tex]4=12\frac{1}{2} -2\frac{1}{2} -6[/tex]
[tex]4=10-6[/tex]
[tex]4=4 \: \checkmark[/tex]
What is the distance from Point A to point D on the number line? Please help!
Answer:
5
Step-by-step explanation:
Hope this helps! Have a great day!
Activity 2
use the given information of triangle ACB to find the six trigonometric ratios.
Answer:
1. b/c 4. c/b
2. a/c 5. c/a
3. b/a 6. a/b
Step-by-step explanation:
sin theta = opposite/hypotenuse = b/c
cos theta = adjacent/hypotenuse = a/c
tan theta= opposite/adjacent = b/a
For the rest, you just flip it:
csc theta = c/b
sec theta = c/a
cot theta = a/b
Whats the was i could solve this
Answer:
so let's see buddy....
Step-by-step explanation:
look at that angle having 45, zed (Z) angles are equal, which means the bottom left inside the triangle is also 45°.
now sum of angles in a triangle is 180°...
so we add up all the angles and equal them to 180° but an angle is missing, let's name it Y°.
so...
96°+45°+Y°=180°
101°+Y°=180°
Y°=180°–101°
Y°=79°
to find x, sum of angles in a straight line is 90°
so we subtract 79 from 90
x°= 11
Jerry is inviting 8 people to her party. She would like for each guest to have 1/2 of a giant cookie. How many cookies will she need to buy?
please help, thank you very much to whoever helps.
Answer:
x = 20
B = 92°
C = 40°
Step-by-step explanation:
The sum of the interior angles of a triangle is 180°
⇒ A + B + C = 180°
⇒ 48 + (6x - 28) + 2x = 180
⇒ 48 + 6x - 28 + 2x = 180
⇒ 48 - 28 + 6x + 2x = 180
⇒ 20 + 8x = 180
⇒ 8x = 180 - 20
⇒ 8x = 160
⇒ x = 160 ÷ 8
⇒ x = 20
Now we have found x, simply substitute this into the expressions for angles B and C:
B = 6(20) - 28
= 120 - 28
= 92°
C = 2(20)
= 40°
Answer:
x = 20
m<B = 92
m<C = 40
(m<A = 48)
Step-by-step explanation:
triangles are 180 degrees
add up the sides
48 + (6x-28) + 2x
8x + 20 = 180
8x = 160
x = 20
put 20 where the x is for B and C
B.
6(20)-28 =
120 - 28 =
92
C.
2(20) =
40
please pick right answer (show work) :( number 19
Answer:
2 cups
Step-by-step explanation:
5/8 + 11/ 8 = 16/8 = 2
(6,0)
(10,6)
(-8,6)
(0,0)
Answer:
-8,6
Step-by-step explanation:
all of the other answers are within the highlighted area of tha graph and thus are solutions but -8,6 is outside the highlighted area
a || b - Find x
Help please.
Answer:
I think it is 142 I'm not sure if it's right or wrong
Mr. Swift is traveling from his house to the history museum. How many meters will he travel to the museum?
If Mr. Swift is traveling from his house to the history museum. The number of meters will he travel to the museum is 6,400 meters.
Number of metersGiven:
Distance=6.4 Kilometres
Hence:
1 kilometre= 1,000 meters
Number of meters=6.4 kilometres x 1,000 meters
Number of meters =6,400 meters
Therefore the number of meters will he travel to the museum is 6,400 meters.
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Which numbers are solutions to the inequality 2x-1>x+2? Check all of the boxes that apply.
0
1
2
3
4
5
Any number greater than 3.
Step-by-step explanation:
To find the answers to this question, start by solving the inequality for x.
2x - 1 > x + 2
x - 1 > 2
x > 3
Using this, we now know that any number that is greater than 3 would work for this inequality.
Answer:
Step-by-step explanation:
.4
.5