In a game of luck, a turn consists of a player rolling 121212 fair 666-sided dice. Let X=X=X, equals the number of dice that land showing "111" in a turn. Find the mean and standard deviation of XXX. You may round your answers to the nearest tenth.
Answer:
The mean of X is 2 and the standard deviation is 1.3.
Step-by-step explanation:
For each dice rolled, there are only two possible outcomes. Either it lands on one, or it does not. The probability of a dice rolled landing on one is independent of any other dice. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
Probability of rolling a 1.
Six sides, so:
[tex]p = \frac{1}{6} = 0.1667[/tex]
12 dices are rolled:
This means that [tex]n = 12[/tex]
Find the mean and standard deviation of X
[tex]E(X) = np = 12*0.1667 = 2[/tex]
[tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{12*0.1667*0.8333} = 1.3[/tex]
The mean of X is 2 and the standard deviation is 1.3.
Cuál es la fuerza total que ejerce 3 personas empujando una carreta? F1 = 30 N, F2 = 45 N, F3 = 38 N?
Respuesta:
113 N
Explicación paso a paso:
Las fuerzas ejercidas se dan como:
F1 = 30 N
F2 = 45 N
F3 = 38 N
A partir de los valores de las fuerzas ejercidas, podemos observar que todas las fuerzas están en la misma dirección; Dado que la fuerza total ejercida es un sol de las 3 fuerzas:
F1 + F2 + F3
(30N + 45N + 38N) = 113 N
The circumference of a circle is 9.04cm.
Find the length of the diameter.
Give your answer rounded to 2 DP.
The circumference of a circle is 9.04 cm. Find the length of the diameter.
Solution:-Let the radius of a circle be r cm.
We know the formula of circumference of a circle is 2πr.
ATQ ,
2πr = 9.04
2 × [tex] \frac{22}{7} [/tex] × r = 9.04
[tex] \frac{44}{7} [/tex] × r = 9.04
r = [tex] \frac{9.04 \: × \: 7}{44} [/tex]
r = [tex] \frac{63.28}{44} [/tex]
r = 1.438
Now, as we have to find the length of the diameter ,
So, we know, Diameter (d) = 2 × radius (r)
[tex] \therefore [/tex] d = 2r
Hence, d = 2 × 1.438 ( r = 1.438 )
d = 2.876
d = 2.88 ( approx )
The length of the diameter is 2.88 cm. [Answer]What’s the answer?????
Answer:
(1,1)
Step-by-step explanation:
What single percentage change is equivalent to a 11% decrease followed by a 13% decrease
Answer:
24%
Step-by-step explanation:
x-(11/100)x
89/100x
followed by
89/100x-13/100x
76/100x
so the total decrease is calculated as
x-76/100x
(24/100)x
i.e 24% decrease
What is the relationship between a and b
A) vertical angles
B)complementary angles
C)supplementary angles
D)Non of the above
Answer:
Vertical Angles
Step-by-step explanation:
Any opposite angles caused by two intersecting lines are vertical angles.
Any two adjacent angles caused by vertical lines or two angles that equal 180° are supplementary angles.
Two angles that make 90° in all are complementary angles.
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Solve for x ,
6(2x-5)=-(x+4)
Answer:
x=2
hope this helped :)
Find the slope of the line on the graph.
Write your answer as a fraction or a whole
number, not a mixed number or decimal.
Enter the correct answer.
Answer:
y = 3x + 4
Step-by-step explanation:
Remember, you find slope values by finding two points on lines within the slope.
Slope= y2-y1/ x2-x1.
(x,y)
I found (0,4), 1, and (2,2), 2.
The answer is -8/2, simplified, -4/1.
Hope this helped.
Linda buys a package of 12 cartons of tomato soup for $30. If each carton holds
16 ounces of soup, what is the cost per quart?
A $1.25
B $2.50
C $5.00
D $7.50
Answer:
5.00
Step-by-step explanation:
1 quart is 32 ounces if you add 16+16=32
and 30 divided by 12 = 2.5
if one carton is 16 ounces and you add 2 cartons to make a quart which is 2.5+2.5=5.00
What type of triangle is shown in the image?
a triangle with two angles that are thirty degrees, and one angle that is one hundred twenty degrees
Group of answer choices
Acute triangle
Right triangle
Equilateral triangle
Obtuse triangle
Answer:
the answer is an obtuse triangle
The triangle in the image is an obtuse triangle.
In any triangle, the sum of the three angles is always 180 degrees.
Here, the sum of the two angles is 30 + 30 = 60 degrees.
Now, Adding the 120 degrees angle
= 60 + 120
= 180 degrees, which is consistent with the sum of angles in a triangle.
Now, let's consider the types of triangles:
1. Acute triangle: All three angles in an acute triangle are less than 90 degrees.
2. Right triangle: A right triangle has one angle that measures exactly 90 degrees.
3. Equilateral triangle: An equilateral triangle has all three angles equal to 60 degrees.
4. Obtuse triangle: An obtuse triangle has one angle that is greater than 90 degrees.
Thus, the triangle in the image is an obtuse triangle.
Learn more about Type of Triangle here:
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Which histogram correctly displays the given data?
Answer:
i think the amswer would be B
Answer:
B is the accurate answer.
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Simplify: 8 - | 7 - 9 | x 3
Answer:
8-2[tex]x^{2}[/tex]
Step-by-step explanation:
Answer:
[tex]8 - |7 - 9| {x}^{3} \\ 8 - | - 2| {x}^{3} \\ 8 - 2 {x}^{3} \\ thank \: you[/tex]
Is this correct please help
Question 3 of 25 What is g(x)?
Answer:
" Its graph is v-shaped and opens up.
If the graph is turned upside down (so that it opens down), then g(x) = -|x|."
Step-by-step explanation:
Hope this helped :)
Step-by-step explanation:
This is an absolute value function with negative coefficient.
we have
g(x) = - Ixl
If 44% of the students in a certain collage are female and there are 2640 female students what is the total number of students in the total students
Answer:Total number of students=6000 students
Step-by-step explanation:
Number of female students =2640
Percentage of female students=44%
But
Percentage of female students x Total number of students =Number of female students
Therefore
Total number of students=Number of female students / Percentage of female students
Total number of students=2640/44% =6000 students
Find the slope of the line that passes through points (4,5) and (3,-4)?
Answer:
slope=9
Step-by-step explanation:
whole equation=y = 9x – 31
hope that helps
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Identify A, B, and C
-6x2-5x+3=-8X2-4x
anyone know the answer?
pls helppp! thank you so much
HELPPPP ME FAST PLEASE
Answer:
B. 315 meters
Step-by-step explanation:
The length of the longer side of the lot on drawing = 6.3 cm
Given a scale of 1cm : 50 m
Let the length of the longer side be represented as x.
Therefore, the actual length of the longer side will be calculated as follows:
1:50 = 6.3:x
1/50 = 6.3/x
Cross multiply
x*1 = 50*6.3
x = 315
Actual length of the longer side of the lot = 315 meters
Please help me if you answer this I will mark as brainliest and plus 25 points thank you
Answer:
alt ext: 1 and 8 and then 2 and 7. same side interior: 4 and 6 and 3 and 5
Could someone help me out please
Answer:
The answer is
GCF=8
56-48=8*(7-6)
Simplify the expression: 2 = (a + 5) =
Answer:
a+7
Step-by-step explanation:
Iria made a scaled copy of the following triangle. She used a scale factor greater than 111.
What could be the length of the base of the scaled copy of the triangle?
Solve this equation
√x - 7= √x - 7
Answer:
Search on mathaway
Step-by-step explanation:
If m2 BOE = 130° and m2 COB = 80°, find the measure of the indicated arc in circle o. D С E B mCBE = [ ? 1°
HELP ME NO ANSWER RANDOM STUFF FOR POINT WILL GET REPORTED
Answer: 210
Step-by-step explanation:
Reina scored twice as many goals at her last field hockey game as she did during the first game of the season. If F represents the number of goals Reina scored during the first game, which expression represents the number of goals she scored during the last game?
the answer is b mnnnnb,me. wmr3,mfr3;kmv 2
The next four digits in the number 0.3435363738394041 are
So the next 4 digits are:
0.42430.34353637383940414243
Check all solutions to the equation. If there are no solutions, check "None."
✓x=3
A. O
B. -3
C. 3
D. -9
E. 9
F. None
Answer:
9
Step-by-step explanation:
You can say this because 3*3 is 9.
Which of the following shows a group of possible angles a triangle could have?
A. 10 degrees, 20 degrees, 190 degrees
B. 30 degrees, 60 degrees, 60 degrees,
C. 60 degrees, 90 degrees, 90 degrees
D. 50 degrees, 60 degrees, 70 degrees
Answer:
D) 50, 60, 70
Step-by-step explanation:
The reason why it's D since a regular triangle equals up to 180 degrees in total and D is the only one that equals 180.
50+60+70= 180 degrees
Hope this helps
solve for x.
A-4
B-20
C-13
D-5