4 times as likely is Phillip to get exactly three heads than exactly two heads
A chance that something might exist, happen, or be true : the state or fact of being possible is called possibilities.
Possibility is the universal set whereas probability is the subset. Possibility is surer to occur than probability. Possibility has its opposite in the word impossibility whereas probability has its opposite in the word improbability.
How to solve?We can find;
P (three heads) = C(8,3)(2/3)^3(1/3)^5 = 448 / 6561
P (two heads) = C(8,2)(2/3)^2(1/3)^6 = 112 / 6561
So...... 448 / 112 = 4 times more likely to get 3 heads than 2 heads
Learn more about Possibilities:
https://brainly.com/question/4313883
#SPJ4
A sum of money in a savings account is represented by the following function:
A = 9, 000(1. 03)t where t is the number of years the money is invested.
What is the initial sum of money in the account?
The initial sum of money in the account is 9000
How to determine the initial sum of money?The function is given as:
A = 9, 000(1.03)^t
The above function is an exponential function.
An exponential function is represented as:
A = ab^t
Where
a represents the initial value
By comparison;
a = 9000
Hence, the initial sum of money in the account is 9000
Read more about exponential function at:
https://brainly.com/question/11487261
#SPJ1
The kind of statistics that focuses on providing a description that illuminates some characteristic of a numerical dataset and has value as an estimate of a real-world measure is called
The kind of statistics that provides a description that illuminates some characteristic of a numerical dataset and has an estimate is called descriptive.
What does descriptive statistics mean?Descriptive statistics is a branch of statistics field that sheds light on a given feature of datasets.
Descriptive statistics uses numerical coefficients to analyze datasets that may represent the overall population or only a sample.
In conclusion, the statistics that provides a description that illuminates some characteristic of a numerical dataset is called descriptive.
Learn more about descriptive statistics here:
https://brainly.com/question/6990681
#SPJ1
If lines I and m are parallel, which pair of angles are congruent?
o 2 and 3
o 1 and 8
o 4 and 5
o 1 and 7
Answer:
last choice
angle 1 and 7 are alternet xterior angles
Step-by-step explanation:
The temperature outside is initially recorded, in Fahrenheit degrees at 8:00 AM and is re-recorded at various times throughout the day. The
temperature recordings are represented by the number line below.
The temperature in degrees Fahrenheit outside at various times throughout the day is given by the inequality x < 69°F
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
A number line is a straight line with numbers placed at equal intervals.
Let x represent the temperature in degrees Fahrenheit, from the number line:
x < 69°F
The temperature in degrees Fahrenheit outside at various times throughout the day is given by the inequality x < 69°F
Find out more on equation at: https://brainly.com/question/2972832
#SPJ1
If mauricio does a job in 6 hrs less time than Alyson, and they can do the job together in 4 hrs, how long will it take to do the job alone
Mauricio takes 24 hours, and Alyson takes 24/5 hours if the Mauricio does a job in 6 hrs less time than Alyson.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
Let x and y be the time to take the job for Mauricio and Alyson respectively
1/x = 1/y - 1/6 ..(1)
1/x + 1/y = 1/4 ..(2)
After solving the equations:
[tex]\rm \dfrac{1}{\dfrac{6y}{6-y}}+\dfrac{1}{y}=\dfrac{1}{4}[/tex]
y = 24/5 hours
x = 24 hours
Thus, Mauricio takes 24 hours, and Alyson takes 24/5 hours if Mauricio does a job in 6 hrs less time than Alyson.
Learn more about the fraction here:
brainly.com/question/1301963
#SPJ1
Help please I will mark brainliest
Answer:
are we supposed to solve the graph
Step-by-step explanation:
Write the answer of p/q form 7.6 bar
7.6 expressed in p/q form is 7 3/5.
What is 7.6 in p/q form?
7.6 is in decimal. The decimal is a number that consists of integers and non integer. The integers are to the left of the decimal point and the non-integers are to the right of the decimal point.
In order to convert 7.6 to a fraction, note that 7 is the whole number while 0.6 is the non integer.
7.6 = 7 + 6/10
7 3/5
To learn more about fractions, please check: https://brainly.com/question/1114498
#SPJ1
[tex]\boxed{\bf{Help\;please}}[/tex]
____________________
[tex]\boxed{\bf{Answer\;Requirements-:}}[/tex]
No spam
No absurd answers
[tex]\bf{Only[/tex]
People who are good at trig
[tex]\bf{should\;answer}[/tex]
Answer:
-8m
Step-by-step explanation:
This question only requires to to substitute t = 0 and t = 1 into the equation to find the displacement.
Lets find the displacement at t = 0.
[tex]x(0)=4sin(\pi (0)+\frac{\pi }{2} )\\=4sin(\frac{\pi }{2} )\\= 4m[/tex]
Lets find the displacement at t = 1.
[tex]x(1) = 4sin(\pi (1)+\frac{\pi }{2} )\\=4sin(\pi +\frac{\pi }{2} )\\=-4m[/tex]
Total displacement = Final Position - Initial Position
= x(1)-x(0)
= -4m - 4m
= -8m
HELPP,what’s the answer?
[tex]\rm y\ \le2x+1[/tex] , [tex]\rm y\le-x+3[/tex] , Option B represents the the graph given .
What is an Inequality ?An Inequality is a statement that connects two algebraic expression by an inequality operator.
To determine the solution of the inequalities , the common area that comes under the inequality will be found
The graph plotted using
y ≥ 2x +1 and y ≥ - x+3
it doesn't represent the solution as given in the question graph , graph no.1
The graph given in the question is the solution of the set of inequalities
This can be understood by Graph 2
[tex]\rm y\ \le2x+1[/tex]
[tex]\rm y\le-x+3[/tex]
As all the inequalities of all the options were plotted and the solution to the system of inequality is represented by the graph
Therefore Option B is the correct answer.
To know more about Inequality
https://brainly.com/question/20383699
#SPJ1
If a translation maps ∠I onto ∠K, which of the following statements is true?
IMPORTANT!!!!!
The statement which is true is ΔGHI ~ ΔGJK.
What is Translation?This is commonly used in geometry to describe a function which moves object at distances.
This therefore means that translation of ∠I onto ∠K means shifting of point I to point K.
The triangles given are HGI and JGK.
Translation in this scenario therefore means that the triangles are similar only if other angles are mapped to their corresponding angles.
It confirms that ΔGHI ~ ΔGJK thereby making it the most appropriate choice.
Read more about Translation here https://brainly.com/question/16253702
#SPJ1
Answer:
ΔGHI ~ ΔGJK
Step-by-step explanation:
mark the congruent parts of the triangles and complete the proof
1) given
2) definition of an angle bisector
3) reflexive
4) [tex]\triangle ABD \cong \triangle CBD[/tex] (ASA)
5) [tex]\angle A \cong \angle C[/tex] (CPCTC)
What is the area of the shaded portion of the circle?
A: (16pi-32) in^2
B: (16pi-8) in^2
C: (64pi- 32) in^2
D: (64pi - 8) in^2
Answer:
1st option
Step-by-step explanation:
the area of the shaded portion is calculated as
area of sector - area of white Δ
area of sector = area of circle × fraction of circle
= πr² × [tex]\frac{90}{360}[/tex] ( r is the radius )
= π × 8² × [tex]\frac{1}{4}[/tex]
= 64π × [tex]\frac{1}{4}[/tex]
= 16π in²
area of Δ = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )
here b = h = 8
area of Δ = [tex]\frac{1}{2}[/tex] × 8 × 8 = [tex]\frac{1}{2}[/tex] × 64 = 32 in²
then
area of shaded portion = (16π - 32 ) in²
One angstrom is the tenth billionth part of a meter. express this information in scientific notation
The scientific notation for the given information is 1 × [tex]10^{-10}[/tex]. Thus, one angstrom is written as 1 × [tex]10^{-10}[/tex] and denoted by A°.
How to write in scientific notation?Scientific notation is used to write very large numbers or very small numbers in a simple way that is easy to understand and easy for calculate.
A number is written in scientific notation as follows:
Scientific notation: m × [tex]10^n[/tex]
where m is the absolute value of the number or a decimal number and n is the power and 10 is the base.
Expressing the given information in scientific notation:The given information is,
One Angstrom = ten billionths part of a meter
Since ten billion = [tex]10^{10}[/tex]
So, ten billionth part of a meter = 1 ×1/[tex]10^{10}[/tex] = 1 × [tex]10^{-10}[/tex].
therefore, the scientific notation for one Angstrom is 1 × [tex]10^{-10}[/tex].
Learn more about scientific notation here:
https://brainly.com/question/4934062
#SPJ4
reflect the points p(4,-3) and q(7,2) on the line which passes through the origin and point (4,4).state the coordinate of image p and q
Answer:
P' (- 3, 4 ) , Q' (2, 7 )
Step-by-step explanation:
the line passing through the origin and (4, 4 ) has equation
y = x
a point reflected in the line y = x
(x, y ) → (y, x ) , then
P (4, - 3 ) → P' (- 3, 4 )
Q (7, 2 ) → Q' (2, 7 )
Compare the linear relationships.
Linear equation A: y=3x
Linear equation B is partially represented by the points in this table.
x y
5 20
7 28
9 36
Which linear equation has the greater slope? Why?
Select the option that correctly answers both questions.
Equation A has the greater slope. It has a slope of 4, and equation B has a slope of 3, which is smaller.
Equation A has the greater slope. It has a slope of 4 textsf comma and equation B has a slope of 3 textsf comma which is smaller.
Equation B has the greater slope. It has a slope of 8, and equation A has a slope of 3, which is smaller.
Equation B has the greater slope. It has a slope of 8 textsf comma and equation A has a slope of 3 textsf comma which is smaller.
Equation B has the greater slope. It has a slope of 4, and equation A has a slope of 3, which is smaller.
Equation B has the greater slope. It has a slope of 4 textsf comma and equation A has a slope of 3 textsf comma which is smaller.
Equation A has the greater slope. It has a slope of 8, and equation B has a slope of 3, which is smaller.
Answer:
1: Slope intercept form is y=mx+b, where m is slope and b is the y-intercept. We can use this form of a linear equation to draw the graph of that equation on the x-y coordinate plane.
2: We have 4 ways of solving one-step equations: Adding, Substracting, multiplication and division. If we add the same number to both sides of an equation, both sides will remain equal. If we subtract the same number from both sides of an equation, both sides will remain equal.
A: For example: If you pay 30 dollars a month for your cell phone and 10 cents per minute of usage the monthly cost of using your cell phone would be a linear equation of a function, C, the monthly cost based on the number of minutes you use monthly.
Answer:
Option 3 is the correct answer :)
Step-by-step explanation:
The expendlvre on good of a ram is Rs 8000 . If the number of degree of sector food is 40°. Find his total expenditure.
(Please answer urgently)
The total expenditure is Rs 72,000.
What is the total expenditure?
The total expenditure can be determined using this equation:
(total amount spent on a good x total value of circle) / degree of the sector of good
(8000 x 360) / 40 = Rs 72,000
To learn more about division, please check: https://brainly.com/question/194007
#SPJ1
Owen made 60% of the shots he attempted during his hockey practice. He made 18 shots. How many shots did Owen attempt during his hockey practice?
Answer:
he attempted 30 shots
Step-by-step explanation:
60 percent of 30 is 18 and 40 percent of 30 is 12 so you at 12 plus 18 and get 30
Solve each triangle. Round answers to the nearest tenth.
The value of the missing triangle sides and angles are XY = 20.9, YZ = 12.4 and ∠Y = 119°
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Sine rule is used to show the relationship between the sides and angles of a triangle.
In the triangle XYZ:
∠X + ∠Y + ∠Z = 180° (sine rule)
22 + 39 + ∠Y = 180
∠Y = 119°
Using sine rule:
XY / sinZ = XZ / sinY
XY / sin(39) = 29 / sin(119)
XY = 20.9
Also:
YZ / sinX = XZ / sinY
YZ / sin(22) = 29 / sin(119)
YZ = 12.4
The value of the missing triangle sides and angles are XY = 20.9, YZ = 12.4 and ∠Y = 119°
Find out more on equation at: https://brainly.com/question/2972832
#SPJ1
find the sum (3x^2+2x+3)+(x^2+x+1)
Hello !
Answer:
4x² + 3x + 4
Step-by-step explanation:
(3x² + 2x + 3) + (x² + x + 1)
= 3x² + 2x + 3 + x² + x + 1
= 3x² + x² + 2x + x + 3 + 1
= 4x² + 3x + 4
Warm-Up
Recognizing a Function
Determine the graph that represents a function.
Answer:
The 2nd one.
Step-by-step explanation:
The 2nd one is a quadratic function as it is a parabola.
Answer:
[tex]1.\ x^2+y^2=5^2.\\2.\ y^2=9-x.\\3.\ y=2x-2.[/tex]
Find the product of √4(√8+3).
O 4√2+6√3
O 2√3+6
O 8√2+6√3
O 4√2+6
Answer:
Step-by-step explanation:
hello :
√4=2 and √8=2√2
√4(√8+3). =2(2√2+3)=4√2+6
Answer:
4√2 +6
Step by step explanation:
To find the product of the the above question, we open bracket.
The question is in surd form.√4(√8+3)
removing brackets.
√4×√8 + √4×3
2√8 + 2×3
2× √4×√2 + 6
2× 2 √2 + 6
4√2 + 6
Can someone help with this question?
A cubic function is known as a function whose graph is in the shape of a horizontal S.
The graph that meets these requirements is the graph D.
Find the value of n, if 25.003 = (2x 10) + (5x1)+(3xn)
Answer:
[tex]n=0.001[/tex]
Step-by-step explanation:
[tex](2\times10)+(5\times1)+(3\times n)=25.003\\\\\implies 20 + 5 + 3n = 25.003\\\\\implies 3n+25=25.003\\\\\implies 3n+25-25=25.003-25\\\\\implies 3n = 0.003\\\\\implies n=0.001[/tex]
How many grams of protein are needed per day by a male non-athlete, weighing 87 kilograms?.
70 grams of protein are needed per day by a male non-athlete, weighing 87 kilograms.
87 kg x 0.8 g protein/kg/day
= 69.6 g protein/day,
Rounded up to 70 g/day.
Maximum American adults eat approximately a hundred grams of protein consistent with a day or roughly two times the advocated amount. Even on a vegan weight-reduction plan people can effortlessly get 60 to eighty grams of protein for the duration of the day from foods like beans, legumes, nuts, broccoli, and entire grains.
The encouraged Dietary Allowance (RDA), which is the minimal amount you want to be healthy, is 0.8 grams in line with a kilogram (zero.36 grams consistent with pound) of body weight in keeping with day 46 grams for a median woman.
Learn more about proteins here https://brainly.com/question/10058019
#SPJ4
36. Salma has a salary of 6.2 x 10 to the power of 4 dollars per year. Carter has a salary of
1.2 x 10to the power of 6 dollars per year. How much larger is Carter's salary than
Salma's?
5.2 x 10²
5 x 10to the power of-2
7.4 x 10 to the power of 10
1.138 x 10to the power of6
Carter's salary is $1.1138⁶ more than Salma's salary.
How much larger is Carter's salary than Salma's?To perform the difference, we need to be able to take a common factor.
We know that Salma's salary is $6.2×10⁴
While Carter's salary is $1.2×10⁶
To get the same common factor, 10⁴, we can divide and multiply Carter's salary by 100, so we get:
[tex]1.2*10^6*\frac{100}{100} = (1.2*100)*(10^6/100) = 120*10^4[/tex]
Then Carter's salary is $120*10⁴
The difference between Carter's and Salma's salaries is:
$120*10⁴ - $6.2×10⁴ = $113.8*10⁴
If we return to the scientific notation, we get:
$113.8*10⁴ = $1.1138⁶
This means that Carter's salary is $1.1138⁶ more than Salma's salary.
If you want to learn more about scientific notation:
https://brainly.com/question/5756316
#SPJ1
anybody can help me?
The proportional graph that corresponds to the situation is: Graph C.
What is a Proportional Graph?A proportional graph is a straight line graph with a constant of proportionality, k = y/x. The equation of the graph is defined as, y = kx.
The equation, M = 3n, has a constant of proportionality as, k = 3.
In graph C, using a point on the line, (400, 1,200), the constant of proportionality, k = 1,200/400
k = 3.
Therefore, the answer is: C.
Learn more about proportional graph on:
https://brainly.com/question/21302696
#SPJ1
5|x +9| < 10
x< ?
x> ?
Answer:
x<−7 and x>−11
Step-by-step explanation:
Let's solve your inequality step-by-step.
5(|x+9|)<10
Step 1: Divide both sides by 5.
5(|x+9|)/5 < 10/5
|x+9|<2
Step 2: Solve Absolute Value.
|x+9|<2
We know x+9<2 and x+9>−2
x+9<2(Condition 1)
x+9−9<2−9(Subtract 9 from both sides)
x<−7
x+9>−2(Condition 2)
x+9−9>−2−9(Subtract 9 from both sides)
x>−11
Answer:
x<−7 and x>−11
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\huge\textbf{Equation:}[/tex]
[tex]\mathbf{5|x + 9| < 10}[/tex]
[tex]\huge\textbf{Solving:}[/tex]
[tex]\mathbf{5|x + 9| < 10}[/tex]
[tex]\huge\textbf{DIVIDE 5 to BOTH SIDES:}[/tex]
[tex]\mathbf{\dfrac{5|x \ + \ 9|}{5} = \dfrac{10}{5}}[/tex]
[tex]\huge\textbf{Simplify it!}[/tex]
[tex]\mathbf{|x + 9| < 2}[/tex]
[tex]\huge\textbf{Solve the absolute value:}[/tex]
[tex]\mathbf{|x + 9| < 2}[/tex]
[tex]\huge\textbf{Possibly we know that:}[/tex]
[tex]\mathbf{x + 9 < 2 \ and\ we\ know\ that \ x+9 > -2}[/tex]
[tex]\huge\textbf{Solving for:}[/tex]
[tex]\mathbf{x + 9 < 2}[/tex]
[tex]\huge\textbf{SUBTRACT 9 to BOTH SIDES:}[/tex]
[tex]\mathbf{x + 9 - 9 < 2 -9}[/tex]
[tex]\huge\textbf{Simplify it!}[/tex]
[tex]\mathbf{x < -7}[/tex]
[tex]\huge\textbf{Solving for:}[/tex]
[tex]\mathbf{x + 9 > -2}[/tex]
[tex]\huge\textbf{SUBTRACT 9 to BOTH SIDES:}[/tex]
[tex]\mathbf{x + 9 - 9 > -2 - 9}[/tex]
[tex]\huge\textbf{Simplify it!}[/tex]
[tex]\mathbf{x > -11}[/tex]
[tex]\huge\textbf{Answer(s):}[/tex]
[tex]\huge\boxed{\mathsf{x < -7\ or\ x > -11}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Write the rule for the table, use x for the input.
The linear function that gives the rule for the table is: y = -8x + 2.
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.In this problem, when x = 0, y = 2, hence the y-intercept is of b = 2. When x increases by 1, y decreases by -8, hence the slope is of m = -8, and the rule is given by:
y = -8x + 2.
More can be learned about linear functions at https://brainly.com/question/24808124
#SPJ1
please help in maths
The equivalent expressions of 22c + 33d are (a), (c) and (e)
How to determine the equivalent expressions?The expression is given as:
22c + 33d
Factor out 11 from the expression
11(2c + 3d)
Multiply by 1
1 * 11(2c + 3d)
Express 1 as -1 * -1
-1 * -1 * 11(2c + 3d)
Evaluate the product
(-11) * (-2c - 3d)
Also, we have:
22c + 33d
Multiply by 1
(22c + 33d) * 1
Express 1 as 3/3
(22c + 33d) * 3/3
Evaluate the product
(66c + 99d) * 1/3
Hence, the equivalent expressions are (a), (c) and (e)
Read more about equivalent expressions at:
https://brainly.com/question/27911936
#SPJ1
Find the surface area.
Answer: 30506.49303
Step-by-step explanation: