Answer:
0.375 = 37.5% probability that two of the coins will land ‘heads’ up
Step-by-step explanation:
For each coin, there are only two possible outcomes. Either it lands heads, or it lands tails. The probability of a coin landing heads is independent of any other coin. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
Four well-balanced coins.
This means that [tex]n = 4, p = 0.5[/tex]
What are the odds that two of the coins will land ‘heads’ up?
This is P(X = 2).
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 2) = C_{4,2}.(0.5)^{2}.(0.5)^{2} = 0.375[/tex]
0.375 = 37.5% probability that two of the coins will land ‘heads’ up
Find the equation of circle passing through points (5 7) and (2 -2 ) whose center lies on the 2x-y=1
Answer:
(x-2)²+(y-3)²=5².
Step-by-step explanation:
1. the equation of line through points (5;7) and (2;-2) is:
[tex]\frac{x-5}{3} =\frac{y-7}{9}; \ => \ 3x-y-8=0.[/tex]
2. to find the equation of the line, which is perpendicular to the line 3x-y-8=0:
the vector (3;-1) is perpendicular to the line 3x-y-8=0 and it is the vector-pointer for the requred line, and if |n₁|*|n₂|=0 (where n₁ is normal vector to the line 3x-y-8=0 and n₂ is normal vector to the required line), then 3*x-1*y=0 (where 'x' and 'y' any numbers). x=1; y=3, then n₂(1;3), then the required line is x+3y+C=0, where C - is unknown number.
3. to find the equation of the line, which is perpendicular to the line 3x-y-8=0 and passes through the middle point of (5;7) and (2;-2):
middle point is (7/2;5/2), then after substitution of coordinates of the middle point into the equation x+3y+C=0 it will be 3.5+3*2.5+C=0, ⇒ C= -11.
the required equation is x+3y-11=0
4. to calculate the intersection point of x+3y-11=0 and 2x-y=1:
[tex]\left \{ {{2x-y=1} \atop {x+3y=11}} \right. \ => \ (2;3)[/tex]
the point (2;3) is the centre of the required circle.
5. to calculate the radius² of the required circle:
r²=(5-2)²+(7-3)² or r²=(2-2)²+(2+3)², then r²=5².
6. if the centre of the required circle is (2;3) and its r²=25, then it is possible to make up the equiation of the circle:
(x-2)²+(y-3)²=5².
|X+1|+|x-2|=3. Can you please help me?
Answer:
I can answer if you make me brainliest
Find the volume of the following figure using unit cubes.
Answer:
Volume : 94
Step-by-step explanation:
2(4 x 5) = 40
2(3 x 5) = 30
2(3 x 4) = 24
------------------
40 + 30 + 24 = 94
I need help if right I will mark you
Answer:
B
Step-by-step explanation:
Find the area of the figure to the nearest tenth
A. 99.0 in.
B. 31.5 in.
C. 11.0 in
D. 155.5 in.
Answer:
155.5 is the answer
Step-by-step explanation:
Answer:
The correct answer is A) [tex]99.0 \ in.^{2}[/tex]
Step-by-step explanation:
Just took the test
hope this helps :)
Answer will be a fraction.
A group of coins is shown below.
What is the probability and its
complement of randomly
selecting a nickel?
Answer:
1/3
Step-by-step explanation:
3 out of the nine coins are nickels, when that is simplified your fraction becomes 1/3
List all of the factors of 64. (Type the factors in numeric order from smallest to largest. Separate each factor with a comma and a
space after the comma.)
The solution is
I
Submit
Pass
Save and close
Don't know answer
ne web and Windows
Answer:
{1,2,4,8,16,32,64}
Step-by-step explanation:
1×64=64
2×32=64
4×16=64
The table shows the results of a class survey about pets. Suppose 53 students were surveyed. About how many students have one pet? Justify your answer. (I really need an answer now! Please answer as soon as you can )
Which point is located in Quadrant I? A) (0, -5) B) (0, 0) C) (0, 5) D) (5, 1)
help please hhhhhhhhhhhhhhhhhhhhhheeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeelllllllllllllllllllllllllllllllllllllllppppppppppppppppppppppppppppp
Answer:
uhm please show a graph
Step-by-step explanation:
could you show the graph?
Find the tangent of angel U.
Answer:
C
trust me that is my answer
The price of the stereo was $96 the tax rate was 6% what was the tax
Answer:
101.76
Step-by-step explanation:
Which number line shows the solution to the inequality -4x + 3 < -5
Answer:x>2
Step-by-step explanation:
4x/4>8/4
The point at which two sides of a polygon meet is called a(n).
OA) segment
OB) face
OC) edge
OD) vertex
Answer:
its called a vertex
Step-by-step explanation:
The line segments that form a polygon are called the sides of a polygon.
A point where two sides meet is a vertex.( in plural form is vertices)
What is the probability of choosing a king of hearts or a queen of spades from a deck of cards? Type your answer as a fraction.
Answer:
Step-by-step explanation:
1 /13
Answer:
1/13???
Step-by-step explanation:
Sean earns $8.50 per hour and made a total of $80.75 today. How many hours did he work?
Answer: 9.5 hours
In order to solve this, you must divide his total (80.75) by his hourly wage (8.50) When you do that, you get 9.5, so he worked 9.5 hours
Step-by-step explanation:
Pls Help and put a proper answer!
You want to buy a digital camera that costs $234. You have saved $50 so far. You earn $6.50 per hour at your summer job. Write and solve an inequality that represents the number of WHOLE hours you need to work in order to buy the digital camera.
Answer:
H = (234 - 50)/6.50
H = 29 hours
Step-by-step explanation:
H = hours to work
H = (234 - 50)/6.50
H = 28.31 hours
what linear equation is represented by the table
0 -2
1 2
2 6
3 10
Pls help ill give brainliest
5). Find the surface area.
3.6 yd
7 yd
3 yd
2 yd
I need some help with this
10. Maddy has saved $55 from birthday money. She is earning $25 per week for babysitting her neighbors, which
she also saves. Which function can be used to nd a, the amount of money Maddy will have saved at the end of w
weeks of babysitting?
A. a =55w +25 B. a = 25w + 55 C. a = 55w + 80 D. a = 80w +55
Answer:
B
Step-by-step explanation:
because 25w is 25 dollars per week and you have to add the 55 dollars she earned which equals the total of money she will have.
sorry I'm not great at explaining lol
Which is the better buy: 12 OZ for $1.25or 18 OZ for $1.75?
Answer:
18 OZ is better$1.75 to buy
Find the 59th term of the arithmetic sequence 26, 17, 8, ...
Answer:
-496
Step-by-step explanation:
it's right :)
Write an expression that represents the height of a tree that begins at 5 feet and increases by 4 feet
per year. Let y represent the number of years.
An angle measured 140 more than the measure of its supplementary angle. What is the measure of each angle ?
Answer:
Supplementary angle equals 180°
Complementary angle equals 360°
Step-by-step explanation:
Conjugate angles are more or less related to complementary and supplementary angles. The sum of the two angles put together equals 360 degrees. The last angle that will be named is straight. The measure of the angle equals 180 degrees.
h ft
5 ft
30 ft
6 ft
A. 20
B.25
C.23
D.30
Please help!!
Answer:
25ft
Step-by-step explanation:
You take the bigger length of the two triangles and divide by the the smaller length of the smaller triangle. This is what the equation would look like:
30/6=5
Then you multiply 5 to the height of the smaller triangle and you got the height for the bigger triangle:
5 x 5=25
I hope this helped you!
Which of the following exponential functions represents the graph below?
Answer:
d
Step-by-step explanation:
Arvida scored 40 points in the first game against Ammons Middle. During the second game Arvida scored 56 points. By what percent did the points scored change
Answer:
40%
hope this helped :)
What is the median of the numbers 312, 336, 488, 384, 368, 336, 416, 624
Answer:
376
Step-by-step explanation:
312,336,336,368,384,416,488,624
the middle numbers are 368 and 384
the median is the middle of the middle numbers
to find this number we add up 368 and 384 and divide the answer by 2
368+384=752
752/2=376
Answer:
376
Step-by-step explanation:
1. To find the median you have to first arrange the numbers in numerical order.
2. Count how many numbers you have.
3. Divide by 2. Go to the number in that position and average it with the number in the next highest position to get the median.
So considering you have 8 numbers if you divide 8 ÷ 2 = 4
the 4th number arranged is 368. Now to average 368 and 384. 368+384=752
752 ÷ 2 = 376
Please help me I'm so bad at math and doing AFDA really doesn't help..
substitution of a,b,c in this equation
Answer:
2, 1 and -3
Step-by-step explanation:
Given the quadratic expression
x^2+2x = 3
Write in standard format
x^2+2x-3 = 0
Get the value of a, b and c
The standard form is ax^2+bx+c = 0
ax^2 = x^2
a = 1
bx = 2x
b = 2
c = -3
Substitute into the general formula
x = -b±√b²-4ac/2a
x = -2±√(2)² - 4(1)(-3)/2(1)
The correct values are the values in bold format