Answer:
the probability of getting exactly 2 fours is 0.16
Step-by-step explanation:
The probability of obtaining a number that is four = ¹/₆
The probability of obtaining a non 4 number = 1 - ¹/₆ = ⁵/₆
The number of ways 2 fours can be arrange in five numbers = ⁵C₂ = 10 ways
If the die is tossed five times, the probability of the events is calculated as;
P = 10 x (¹/₆)² x (⁵/₆)³
P = 10 x (¹/₃₆) x (¹²⁵/₂₁₆)
P = 10 x 0.02778 x 0.5787
P = 0.16
Therefore, the probability of getting exactly 2 fours is 0.16
The probability of exactly [tex]2[/tex] four's in [tex]5[/tex] tosses is [tex]0.1608[/tex].
Probability:Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e., how likely they are to happen, using it.
Let [tex]X[/tex] be the number of fours in [tex]5[/tex] coin tosses.
We have no. of tosses [tex]n=5[/tex].
Probability of a success i.e., getting four [tex](p)=\frac{1}{6}[/tex] and probability of not getting a four [tex](q)=\frac{5}{6}[/tex].
[tex]X[/tex] follows a binomial distribution. So,
[tex]P(X=x)=\binom{n}{x}p^{x}q^{n-x}[/tex]
[tex]\therefore[/tex] the probability of exactly [tex]2[/tex] four's in [tex]5[/tex] tosses is given by,
[tex]P(X=2)=\binom{5}{2}\left ( \frac{1}{6}^{2} \right )\left ( \frac{5}{6} \right )^{3}[/tex]
[tex]=0.1608[/tex]
Learn more about the topic of Probability: https://brainly.com/question/26959834
Please, I need this done!
(i will give the brainlyist please help) The solution to the system is (3, 4);
30 – 2y = 1
4y= 7 + 3
True
False
Answer:
true
Step-by-step explanation:
first and second one both make sense
if the lenghts of the diagonals of a rhombus are 10 cm and 8 cm then its area is
Answer:
40cm square
Step-by-step explanation:
10x8cm=80 cm/2=40cm square
Answer:80cm
Step-by-step explanation:Area=[tex]\frac{dxd}{2}[/tex]
10cm x 8cm=80cm
somebody please answer only 11. and 13. ANSWER QUICKLY
Answer:
Step-by-step explanation:
y=mx+b where m is the slope and b is the y intercept, value of y when x=0
11.
Since we are given the point (0,4) we already know that b=4
slope is m=(y2-y1)/(x2-x1), using our two points (0,4)(-1,3) we have
m=(3-4)/(-1-0)
m=-1/-1=1 so the line is
y=x+4
12.
Again they gave us point (0,1) so we know b=1, from points (0,1)(4,2) we find
m=(2-1)/(4-0)
m=1/4 so our line is
y=x/4+1 (or more neatly)
y=(x+4)/4
Miguel has a garden that has an area of 300 square feet. If the corn in his garden covers 160 square feet, what percent of the garden is corn?
Im not sure of my answer but I got 5.33 and the 3 repeats
Answer:
Im sorry if I'm wrong but I think it's 300+160=460
Answer:
yes your correct but wrong
Step-by-step explanation:
To find the area that's covered in corn you need to first write your fraction.
160/300
After you do that you have to turn it into a decimal.
.53333...
After that you need to turn it into a percent so your final answer will be....
53.333...%
BTW try looking to see if you need to round, normally it tells you to do that
The Pythagorean Theorem is
c² = g²-6²
False
O True
O No answer text provided.
O No answer text provided.
Answer:
FalseStep-by-step explanation:
It depends on the triangle.
If a is the longest side then it's true, but usually when we talk about Pythagorean theorem we mean that c is the longest side of the right triangle. So:
c² = a² + b²Plz plz help I’m failing math and need help
Answer:
5 sweat shirts- $100
8 sweat shirts- $160
9 sweat shirts- $180
12 sweat shirts- $240
Step-by-step explanation:
Each sweat shirt costs $20
OMG PLZZZZZZ HELP ME I REALLY NEED HELP :'( EVERYONE WHO HELPS ME GETS IT WRONG PLZZZ HELP ME IM BEGGING YOU
Answer:
1st Picture: d = -16
2nd Picture: g = -13.8
Step-by-step explanation:
1st Picture: Divide both sides by -11 to balance both sides and get the answer.
2nd Picture: Subtract 1.2 from both sides.
Answer:
Question 6:
We have -12.6 = g + 1.2, so we move the 1.2 to the left side to get -13.8 = g because when you move a number you are essentially minusing that number so 1.2 becomes -1.2 .
Question 7:
We have 176 = -11d so we divide by -11 to get -16 = d.
Hope this helped!
solve the system of equations y=5x y=x^2+4
answer:(1,5) and (4, 20)
how to calculate the Triangle Proportionality Theorem
Step-by-step explanation:
If a line parallel to one side of a triangle intersects the other two sides of the triangle, then the line divides these two sides proportionally.
Firas and Nabil are comparing their bank accounts. "I have four times more money than
you" , Firas says. "Anyway, I have only $240 less than you" , Nabil answers .
How much money does each one of them have in his account ?
should be solved as a system
Answer:
Firas = $320
Nabil = $80
Step-by-step explanation:
Firas = 4x
Nabil = x
x + 240 = 4x
3x = 240
x = $80
Firas = $240 + $80 OR $80 x 3 = $320
Nabil = $80
Hope that helps!
Find the slope of the line between the points: (-2,3) and (3,6)
Answer:
3/5
Step-by-step explanation:
m = y2-y1 / x2 - x1
6-3 / 3 - -2 = 3/5
Answer:
m= [tex]\frac{3}{5}[/tex]
hope this helps!
Step-by-step explanation:
Find the equation of a line that passes through the point (-2, -1) and is
perpendicular to the line with equation y=-2x+8.
Answer:
2y-x=0
Step-by-step explanation:
Please mark as brainliest
what is n if the equation is
n - 2 divided by -3 = -6
Please help me I am having a lot of trouble, thank you
The data represents the height, in feet, of various buildings. Find the Range.
60, 58, 54, 56, 63, 65, 62, 59, 56, 58
PLSS HELP I ON A TESTTT PLS HELP!
Range is about subtracting the lowest number from the highest number!
The lowest number is 54.
The highest number is 65.
65 - 54 = 11
Answer: 11Answer:
11
Step-by-step explanation:
Subtract the highest and lowest values 65-54, and you get 11
Help plz helpppppppppppppp
Answer:
A = 45 cm²
Step-by-step explanation:
The area (A) of a trapezium is calculated as
A = [tex]\frac{1}{2}[/tex] h( b₁ + b₂)
where h is the height and b₁, b₂ the parallel bases
Here h = 5, b₁ = 10 and b₂ = 8 , then
A = 0.5 × 5 × (10 + 8) = 0.5 × 5 × 18 = 45 cm²
Simplify (y+1)+4
Help
Answer:
y+5
Step-by-step explanation:
Answer: y+5
Step-by-step explanation:hope this help
Write 5.9 as a mixed number.
Answer:
[tex]5\frac{9}{10}[/tex]
good luck, i hope this helps :)
Answer:
5 9/10
Step-by-step explanation:
adam is x years old. beth is 10 years older than adam. collin is twice as old as beth. write an expression for the total age. give your answer in the simplest form
Answer:
4x+30
Step-by-step explanation:
Age of Adam=x Age of Beth= x+10 Age of Collin= 2(x+10)
Add like terms
x+(x+10)+2(x+10)= x+x+10+2x+20= 4x+30
What is the value of 19-7-15+14
Answer: the answer is 11 :)
Step-by-step explanation: I hope this helped!
Answer:
11
Step-by-step explanation:
19 - 7 = 12 - 15 = -3 + 14 = 11
or, if your brain likes it better, add the positives, then add the negatives, then subtract:
19 + 14 = 33
-7 -15 = -22
33 - 22 = 11
HELP PLS HELP PLS HELP PLS HELP PLS HELP PLS HELP PLS TY TY TY
Answer:-5+x<-1
Step-by-step explanation:
Answer:
H. -5 + x < -1
Step-by-step explanation:
Okay so let's first look at our little graph thing. What is it saying? It's telling us that what ever x is, it is NOT 4 (because the circle is not filled in) and it is less than 4 (because it's all shaded in before 4). Now that we know this, lets look at our possible answers.
F. x - 3 < 7
Now, for all of these possible answers, we can solve them exactly like normal equations (like x - 3 = 7).
x - 3 < 7
[add 3 to both sides to leave the x by itself]
x < 10
Whoa, that's not right! We don't even have 10 on our graph, so F is out of the running.
G. x + 6 [tex]\leq[/tex] 10
Okay, let's work smarter, not harder here. So we can see that there is a greater than or equal to sign there. So even if we solve it and we get 4 as the answer, our graph doesn't include 4. So we can throw this answer out right away.
H. -5 + x < -1
Solve like a normal equation in the first one.
-5 + x < -1
[add 5 to both sides to leave the x by itself]
x < 4
Hey! We got something! So let's read this with words. So whatever x is, it does not include 4, and is less than 4. So now looking back on our first brainstorm of the graph, this is in line with what we want.
So this is the answer! Yay!
Just for fun let's look at the last possible answer.
I. x - 8 > -4
Again, solve like a normal equation.
x - 8 > -4
[add 8 to both sides to leave x by itself]
x > 4
Oh! Another 4! But this time the sign is different. Let's read it again with words. So whatever x is, it does not include 4 (ok, good), and is greater than 4 (oh, not good). Our graph showed us that x is less than 4. So this answer is not the answer.
So again, we keep H. as our correct answer.
1. Ryan is washing windows on a skyscraper. He lowers himself six times,
going down an equal distance each time. In all, Ryan lowers himself 48 ft.
What integer represents the change in Ryan's position each time he lowers
himself? *
Answer:
Ryan went down a total of 8 times
Step-by-step explanation:
He goes down 6 times 48/6 = 8
25°
У
x 120°
y = [ ? ]
Enter
9514 1404 393
Answer:
y = 95°
x = 60°
Step-by-step explanation:
The applicable theorem is the one that says the exterior angle (120°) is the sum of the remote interior angles:
120° = 25° +y
95° = y . . . . . . . . . . subtract 25° from both sides
_____
If you like, you can get there by calculating x (or not):
x = 180° -120°
y = 180° -25° -x = 180° -25° -(180° -120°)
y = 120° -25° . . . . . simplify — notice we didn't actually have to compute x
Find the exact angular velocity in radians per hour wind W= 4.1 rpm
Answer:
1545.66 rad/h
Step-by-step explanation:
We need to find the angular velocity in rad/hour when wind is moving with a speed of 4.1 rpm.
We know that,
1 revolution = 2π rad
1 hour = 60 minute
So,
[tex]4.1\ rmm = 4.1\times \dfrac{2\pi }{(\dfrac{1}{60})}\ rad/h\\\\=1545.66\ rad/h[/tex]
So, the required angular velocity is 1545.66 rad/h.
Find a and b please fasttt
Answer:
Step-by-step explanation:
to find the angle A
360-230=130
angle B=180-130=50
In the diagram to the right, GKNMVRPT. Find the value of x. Give the scale factor of the left polygon to the right polygon
Answer:
Step-by-step explanation:
X+2
i need the answer for this question
Answer:
z=-13.9
Hope this helped!!
Answer: z= 4.1
Step-by-step explanation:
What is the perimeter of △XYZ?
perimeter=
Step-by-step explanation:
(5+6+7)*2 = 36 correct answer
Answer:
36
Step-by-step explanation:
Kayla goes for a long walk. This graph shows her time and distance traveled throughout the walk.
224 in 8 minutes. Use the unit rate to complete the table of values for the proportional relationship.
X. Y
2. ?
4. ?
6. ?
9514 1404 393
Answer:
see attached
Step-by-step explanation:
It can be convenient to use mental arithmetic methods* to fill in this table.
Since the relationship is proportional the y-value for x=4 will be half that for x=8, so will be 224/2 = 112. Similarly, the y-value for x=2 will be half that for x=4, so will be 112/2 = 56.
Then the y-value for x=6 will be the sum of the y-values for x=2 and x=4, so will be 112 +56 = 168.
If you actually care to find the "unit rate," you can divide the y-value for x=2 by 2 to get the corresponding y-value for x=1: 56/2 = 28. The unit rate is 28.
_____
* Multiplication or division by 2 is simply a matter of doubling or halving. In most cases, it is easy to double a number, or to compute half of it. (If it isn't, you need to review your arithmetic facts.)