The probability that no two consecutive heads will occur is 13/32.
What is probability?It should be noted that probability simply means the likelihood of the occurence of an event based on chance.
In this case, the fair coin is tossed 5 times and we simony want it find the probability that no two consecutive heads will occur.
This will be:
Let n be the number of strings of h
Let t be the length n with two adjacent H's.
Therefore, the probability will be:
= (8+5)/2^5
= 13/32
In conclusion, the probability that no two consecutive heads will occur is 13/32.
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(x^2+3x^2-kx-24)÷(x+3) what's the value of k??
Answer:
-4
Step-by-step explanation:
since x+3 is a factor of the polynomial (x^2+3x^2-kx-24), then;
x+3 = 0
x = -3
Substitute x = -3 into the polynomial
x^2+3x^2-kx-24 = 0
(-3)^2+3(-3)^2-(-3)k-24 = 0
9 + 27 + 3k - 24 = 0
36-24 + 3k = 0
12 = -3k
k = -12/3
k = -4
Hence the value of k is -4
the sum of two numbers is 84 and one of them is 12 more than the other what are the two numbers
-2x^3+15x^2-22x-15; (x-3) polynomial function
Answer: Down Below
Step-by-step explanation: Solving for -2x^3 + 15x^2 - 22x - 15(x - 3) = 0
Standard form:
−2x3 + 15x2 − 37x + 45 = 0
Factorization:
−(2x − 9)(x2 − 3x + 5) = 0
Please help ❤️❤️❤️❤️❤️❤️❤️
Answer:
-3/7
Step-by-step explanation:
find two lattice points
the ones I found are (-3, 3) and (4, 0)
use the slope formula
(0-3)/(4-(-3)) = -3/7
1. simplify the following fractions: 12/36
Answer:
1/3
Step-by-step explanation:
12/36 = 6/18 = 3/9 = 1/3
State whether the triangles are similiar if so write a similarly statement for brainliest
Answer:
Step-by-step explanation:
The triangles are not similar.
A room has a perimeter of 40 feet. The length is 4 less than 2 times the width. What are the dimensions of the room?
Answer:
First, develop an equation for this scenario. The formula to find the perimeter of a quadrilateral is 2l+2w. Because the length is 4 less than twice the width, this would be translated to (2w-4). Plug this into the variable for the length to get 2(2w-4)+2w=40. Distribute the 2 to get 4w-8+2w=40. Add the like terms to get 6w-8=40. Add 8 to both sides and get 6w=48. Divide 6 to result with w=8.
Now that we know w, we can substitute 8 into the variable to solve for the length. 2l+2(8)=40. Multiply 8 and 2 to get 2l+16=40. Subtract 16 to both sides to get 2l=24. Divide 2 to both sides to result with l=12.
Length = 12 feet
Width = 8 feet
Which expression is equivalent to x^2 - 64?
Answer:
X= 8 and X=-8
Step-by-step explanation:
x^2-64
spilt into (x-8)(x+8)
set both equal to 0
0=x-8
x=8
0=x+8
x=-8
All rational numbers are whole numbers? True or false
Select all the expressions equivalent to:
20a + 10b
a
5(4a + 2b)
b
10(2a + b)
C С
2(10a + 5)
2(10a + 5b)
Od
Оe
5(4a - 2b)
Answer:
5(4a + 2b)
10(2a + b)
2(10a + 5b)
Step-by-step explanation:
we are trying to find equations equivalent to (20a + 10b), so distribute
5(4a + 2b) = 20a +10b YES
10(2a + b) = 20a +10b YES
2(10a +5) = 20a + 10 NO
2(10a + 5b) = 20a +10b YES
5(4a - 2b) = 20a - 10b NO
Which of the following statements is NOT a property of parallelograms?
Opposite angles are congruent.
Opposite sides are parallel.
Parallelograms have 4 straight sides.
All sides are parallel.
Answer:its that all sides are parallell
Step-by-step explanation:
because it has two sets of parrallel sides all of them are not paralell
Answer:
All sides are parallel.
Step-by-step explanation:
shapes can't even be made if all the sides are parallel. The angles need to be added up to 360 degrees. There won't even be angles if all the lines are parallel. The opposite sides have to be parallel.
What is the y-intercept
Answer:
-2
Step-by-step explanation:
hope this helps!!!!!!!?
Which of the following indicates that ABC and DEF are similar?
Answer:
The answer of the question is b
Similar triangles are those triangles whose corresponding sides are in the same ratio. The correct option is A, ΔABC ~ ΔDEF.
What are similar triangles?Similar triangles are those triangles whose corresponding sides are in the same ratio. And the corresponding angles measure the same. It is denoted by the ‘~’ symbol.
For the two triangles, we can denote the similarity ΔABC ~ ΔDEF.
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Adele rides her bike 28 miles in 3.5 hours. How far has Adele traveled on her bike if she rides for 8 hours?
Answer:
64 miles
Step-by-step explanation:
if you divide 28 by 3.5, this gives you the number of miles per hour, I got 8. Multiply that by 8 because that is the number of hours we are looking for and you get 64. That is the answer.
Which number makes the equation true?
blank divided by eighteen equals one third
Question 13 options:
32
24
12
6
Answer:
6
Step-by-step explanation:
x/18 = 1/3
3x = 18
x = 6
-20 2 -6 -18 4 -4 put them from least to greatest
How can I know 20 digits of Π… ??
And not know the 10 digits of your phone number?
Erik used 28 centimeters of tape to wrap 7 presents. How much tape will Erik need in all if he has to wrap 12 presents? Solve using unit rates.
Answer:
Length of tape required to wrap 12 presents is 48 centimeters.
Step-by-step explanation:
Length of tape required to wrap 7 presents = 28 centimeters
Length of tape required to wrap 1 present = [tex]\frac{28}{7}=4[/tex] centimeters
Therefore,
Length of tape required to wrap 12 presents = 12 × Length of tape required to wrap 1 present
= 12 × 4
= 48 centimeters
Determine the equation that this graph represent
10v2 + 50
o Linear binomial
o Constant binomial
Quadratic binomial
Quadratic trinomial
Answer:
So what is the question? probably to describe the polynomial 10v^2 + 50. okay. the polynomial is a quadratic (it is to the 2nd power) and a binomial (2 terms).
Does the point (6, 0) satisfy the equation y = x + 6?
yes or no
Answer:
No.
Step-by-step explanation:
You have to replace the (6,0) with the equation at hand. So, since 6 is in the X spot and 0 is in the Y spot, the equation would then look like 0=6+6. The equation is false as you can see.
No, this point does not lie on the line y = x + 6.
What is the general equation of a Straight line?
The general equation of a straight line is -
y = mx + c[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.Other possible equations of lines are -
(y - y₁) = m(x - x₁) {Point - slope form}(y - y₁) = (y₂ - y₁) × (x - x₁)/(x₂ - x₁) {Two point - slope form}x/a + y/b = 1 {intercept form}x cos(β) + y sin(β) = L {Normal form}We have the equation of line as -
y = x + 6
For point (6, 0), we can write -
0 = 6 + 6
0 ≠ 12
Therefore, no, this point does not lie on the line -
y = x + 6
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Bert is driving along a country road at a constant speed of 30 miles per hour. How long does it take for him to travel 50 miles?
The time of 1 hour 40 minutes Bert takes for him to travel 50 miles.
What is the distance?Distance is defined as the product of speed and time.
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.
The operator that performs the arithmetic operation is called the arithmetic operator.
Operators which let do a basic mathematical calculation
+ Addition operation: Adds values on either side of the operator.
For example 4 + 2 = 6
- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.
for example 4 -2 = 2
* Multiplication operation: Multiplies values on either side of the operator
For example 4*2 = 8
Given that Bert is driving along a country road at a constant speed of 30 miles per hour
To determine the time it takes for him to travel 50 miles.
Let the time of x minutes it takes for him to travel 50 miles.
⇒ 30 miles/60 minutes = 50 miles/ x minutes
Cross multiplication apply in above equation,
⇒ 30x. x = 60x50
⇒ 3000 = 30x.
⇒ x = 100 minutes, or
⇒ 1 hour 40 minutes
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(3x3_10x=2x+20)=(x-3)
Answer:
is that 3 time 3 or it is 3x? do you meant minus by using underscore?
Step-by-step explanation:
What is the range of the function shown on the graph above
Solve. Then, rewrite the complete number sentence in decimal form
Step-by-step explanation:
a)
6.9+1.1= 8
b)
9.9+2.45=12.35
[tex]12 \frac{35}{100} [/tex]
c)
2.4+8.9=11.3
[tex]11 \frac{3}{10} [/tex]
d)
6.37+7.7=14.07
[tex]14 \frac{7}{100} [/tex]
Which of the following could be the side lengths of a right triangle?
Question 1 options:
1 in, 2, in, 3 in
2 m, 5 m, 5 m
12 ft, 16 ft, 20 ft
3 in, 4 in, 6 in
Answer:
its C
Step-by-step explanation:
it cant be b because there would be no longest side
neither d or a because ive done the math for it
Target sells 3 apples $1.50 what is the cost of 20 apples
Answer:
$10
Step-by-step explanation:
1.50 divided by 3 = 0.50
0.50 x 20 = 10
What is the slope of the line in the graph? HELPPPPPPPP WILL GIVE BRAINLYIST TO CORRECT ANSWER!!!!!
Answer:
(-1,1),(-2,-1)
Step-by-step explanation:
brainliest please
0.009 in scientific notation
Answer:
9 x 10^-3
Step-by-step explanation:
What is the equation for a line with a slope of 5 and a y-intercept of 11?
Answer:
y=5x+11
Step-by-step explanation: