A fair coin is tossed 5 times in a row the exact probability of the coin landing heads exactly 2 times is what
Answers
Answer:
The probability is [tex]\frac{5}{16}[/tex]
Step-by-step explanation:
Given is that a fair coin is tossed 5 times in a row.
This gives total number of outcomes as = [tex]2\times2\times2\times2\times2=32[/tex]
As its needed that heads comes exactly 2 times, so favorable outcomes are = 5C2
[tex]\frac{5!}{2!(5-2)!}[/tex]
Solving this we get 10
Therefore, the probability of getting heads exactly 2 times is =
[tex]\frac{10}{32}[/tex] or
[tex]\frac{5}{16}[/tex]
Answer:
See image
Step-by-step explanation:
Plato
Related Questions
Find F(4) for the function f(x) = 3x-5
Answers
f (4) = 12 - 5
f (4) = 7
(4, 7)
The value of F(4) in the given function is: f(4) = 7
How to find the range of a function?The domain of a function is defined as the set of all possible input values that makes the function possible while the range is defined as the set of all possible output values for which the function is possible.
We are given the function as:
f(x) = 3x - 5
Thus f(4) will be gotten as:
f(4) = 3(4) - 5
f(4) = 7
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Sara was on a cliff 25 feet above sea level. she jumped into the sea and descended a total of 37 feet. how many feet below sea level did she travel? justify your reasoning
Answers
Sara travels a distance of 12 feet below sea level when she jumped into the sea.
What is the Subtraction operation?Subtraction is a mathematical operation that deducts the right-hand operand from the left-hand operand.
for example 4 -2 = 2
We have been given that Sara was on a cliff 25 feet above sea level. she jumped into the sea and descended a total of 37 feet.
To determine the number of feet below sea level travel by Sara
The number of feet below sea level = total descended - cliff of a number of feet above sea level.
Here total descent is 37 feet and the cliff is 25 feet above sea level.
Substitute the value in the above equation,
The number of feet below sea level = 37 - 25
The number of feet below sea level = 12 feet
Therefore, she travels a distance of 12 feet below sea level.
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64.48 divided by 8=n
Using long division, find the quotient
Answers
FPrime(x)=1/8
b=64.48 ,a=64 ,h=0.48
Fa=8
f/a=1/8
F/a.h=0.48/8=0.06
64.84/8~=8+0.06=8.06
Consider the expression −2 + 5a + b + 2a − 5b.
Which term can be combined with 5a because they are like terms?
–2
b
2a
–5b
Answers
so 5a and 2a are like terms
examples :
3b and 4b are like terms
3b and 4a are not like terms
2a^2 + 3a^2 are like terms
2a and 3a^2 are not like terms
3ab and 4ba are also like terms...even though the variables are switched
6b^2a and 6a^2b are not like terms
Answer:
2a is the answer
Step-by-step explanation:
A triangle has base 6 cm and area 42 cm^2 What is the height of the triangle?
Answers
so you plug your numbers into the equation and solve
42 = 6(x) 1/2
42 = 3(x)
divide each side by 3
14 = x
The height of the triangle will be 14 cm.
What is a triangle?A triangle is a polygon that has three sides and three vertices. It is one of the basic figures in geometry.
The area of the triangle is the product of half the base and the height of the triangle.
The area of the triangle = 1/2 x b x h
so we will plug numbers into the equation and solve ;
Area = 6(x) 1/2
42 = 6(x) 1/2
42 = 3(x)
Now, divide each side by 3
14 = x
Therefore, the height of the triangle will be 14 cm.
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3(x-4)<-15 solve for x
Answers
if you multiply or divide both sides by a negative, flip the inequality direction
3(x-4)<-15
divide both sides by 3
x-4<-5
add 4 to both sides
x<-1
Divide Each side by 3:
x - 4 < -5
Add 5 to both sides:
x < -1
Hope this helps!
Alexander purchased a computer on sale here is no price $1200 the sale price was 5/6of the original price how much did Alexander pay for the computer
Answers
but if 1200 is the the base price then 1000 is the sale price
these answers are with out tax
Michael wants to eliminate the variable y from the system below by adding. First, he will have to multiply one of the equations by a number. Which step will enable him to eliminate y by adding?
Answers
7x - 6y = 8
2x + 2y = 6....multiply by 3
--------------
7x - 6y = 8
6x + 6y = 18 (result of multiplying by 3)
-------------add
13x = 26.......poof...the y's have been eliminated :)
x = 2
Gary said this model shows shaded. John said this model shows shaded.
Which student is correct?
A.
both Gary and John
B.
Gary
C.
John
Answers
The question is missing critical information as it lacks the proportion or number related to the shaded part of the model. Without this detail or a visual representation, it's not possible to determine the accuracy of Gary or John's statements.
Explanation:The question provided seems to be missing critical information, specifically the proportion or number that Gary and John are referring to when they mention how much of a model is shaded. In a typical mathematics problem regarding fractions or percentages, students would be asked to determine if statements about the shaded portion of a model are correct. Without the visual model or additional context indicating the proportion of the model that is shaded, it's impossible to conclude which student, Gary or John, is correct.
In order to answer correctly, we would need either a clear description of the model and its shaded parts or, preferably, a visual representation. Then, we would analyze the shaded portion to assess which statement about the fraction or percentage shaded is accurate. If we had this information, we could illustrate the process of comparing the given fraction or percentage with the actual shaded section of the model.
Unfortunately, without the necessary details, we can neither confirm if Gary, John, or both are correct, nor can we properly address the question.
Rob collects data about how many customers enter and leave a store every hour. He records a positive number for customers entering the store and a negative number for customers leaving the store each hour.
a. During which hour did more customers leave the most?
b. There were 75 customers in the store at 1:00. The store must be emptied of customers when it closes at 5:00. How many customers must leave the store between 4:00 and 5;00?
Entering Leaving
1:00 to 2:00 30 -12
2:00 to 3:00 14 -8
3:00 to 4:00 18 -30
Answers
Initially, there were 75 customers.
1:00 to 2:00 : 75 + 30 - 12 = 93
2:00 to 3:00 : 93 + 14 - 8 = 99
3:00 to 4:00 : 99 + 18 - 30 = 87
4:00 to 5:00 : If the store does not accept any more customers except those who are already inside then, all 87 must leave between 4:00 to 5:00 in order to empty out the store by 5:00
ANSWER: (a) 4:00 to 5:00
(b) 87 customers
3x/4 +2/3=x/3 find the exact answer to the simplest form
Answers
(3x/4)(12)+(2/3)(12)=(x/3)(12)
9x + 8 = 4x
then we will separate the variable in one side and solve to get its value
9x-4x = -8
5x = -8
x = -8/5
A student got a grade of 85% on a text in which she answered 3 questions incorrectly. How many questions were on the test?
Answers
To find this, we must first find out how much was taken off of 100% to get 85%. In terms of math, this can be put like this:
100% - X = 85%
Now, we solve for X.
100% - X = 85%
Add X to both sides.
100% = 85% + X
Subtract 85% from both sides.
100% - 85% = X
Subtract.
15% = X
This means that 15% was taken off of 100% to get 85%. In other words, 3 incorrect questions are equal to 15% of the final grade. In terms of math, we can put it like this:
3 = 15%
Now, let's go back to the first question we asked at the beginning.
"How much of 100% is one question worth?"
To find this, we need to make 3 become 1 in the equation 3 = 15%.
3 = 15%
Divide both sides by three.
3/3 = 15%/3
Divide.
1 = 5%
This means that 1 question is worth 5% of the grade. With this information, we can find out how many questions it takes to get 100% of the grade. To do this, we need to make the 5% become 100%.
1 = 5%
Multiply both sides by 20.
20(1) = 20(5%)
20 = 100%
This means that there are a total of 20 questions on the test.
By interpreting the student's grade of 85% and knowing that 3 questions were answered incorrectly, we can infer that the test consisted of 20 questions in total.
To calculate how many questions were on the test, we first need to establish the relationship between the number of questions answered incorrectly and the student's overall percentage score. If the student got an 85% on the test, this means they answered 85% of the questions correctly. With 3 questions answered incorrectly, we can assume that these incorrect answers account for the remaining 15%. To find the total number of questions on the test (let's denote it as x), we set up a simple equation:
0.15x = 3
Solving for x yields:
x = 3 / 0.15
x = 20
Therefore, the test consisted of 20 questions in total.
describe a situation in which 2 angles are both congruent and complementary
Answers
The only situation in which two angles are both congruent and complementary is when their measures are both 45°:
Two angles are complementary if their sum is 90°, and they are congruent if their measures are the same, say n. Therefore, to find two congruent angles which are complementary, we solve the following equation:
n+n=2n
2n = 90
2n/2 = 90/2
n=45
Two angles that are both congruent and complementary can be found in right angles.
Two angles that are both congruent and complementary can be found in the case of right angles. When two angles are right angles, they are both congruent (having the same measure) and complementary (adding up to 90 degrees).
Solve for x: −5|x + 1| = 10 (1 point) x = 0 x = −3 and x = 1 x = −1 and x = 3 No solution
Answers
Step 1: Divide both sides by -5.
-5(|x+1|)/-5 =10/-5
|x+1| = -2
Step 2: Solve Absolute Value.
|x+1|=−2
No solutions. (Absolute value cannot be less than 0.)
Answer:
The answer Is 1
Step-by-step explanation:
Got it right trust me
Translate the phrase into a numerical expression.
1. seven multiplied by three
2. twice the opposite of eleven
Answers
7*3 the little star mean times
2. Twice the opposite of eleven= 2x+11
22 less than 3 times the number
3x-22
3x-22=2x+11
3x-2x=11+22
x= 33
So , it would be 2x+11 x is 33
Hope this helps good luck
What's the ratio of 2 frogs to 5 turtles
Answers
The required ratio of 2 frogs to 5 turtles is given as 2 / 5 or 2:5.
As mentioned in the question ratio of the 2 frogs and 5 turtles is to be determined.
What is the Ratio?The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.
Here,
The ratio of the two terms is given as a / b or a: b
Let a = number of frogs ad b = number of turtles,
Now, put the values of a and b in a/b or a:b
So,
The ratio is given as,
= 2/5 or 2:5
Thus, the required ratio of 2 frogs to 5 turtles is given as 2 / 5 or 2:5.
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How many significant figures are in the number 0.002849?
Answers
Find an upper limit for the zeros of 2 x4 - 7 x3 + 4 x2 + 7 x - 6 = 0
Answers
The upper limit for the zeros of the given equation is x=32.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
We have been given an equation as [tex]2x^4 - 7x^3 + 4x^2 + 7x - 6 = 0[/tex]
Step 1: First we have to Factor the left side of the equation.
(x+1)(x−1)(x−2)(2x−3)=0
Then Set factors equal to 0.
x+1=0
x−1=0
or x−2=0
2x−3=0x=−1
x=1 or x=2 or x=32
Therefore, x =−1 or x=1 or x=2 or x=32
The upper limit for the zeros of the given equation is x=32.
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22:33 in its simplest form
Answers
11
divide both numbers by gcf
22/11=2
33/11=3
Answer: 2:3
Answer:
no its not
Step-by-step explanation:
simplest form for 22/33 is 2/3
50 POINTS! HELP NEEDED!
Which of the binomials below is a factor of this trinomial? x2 - 3x - 10
A. x - 1
B. x + 1
C. x - 2
D. x + 2
Answers
x -5
x 2
(x - 5) (x + 2) = x² -3x - 10
x² +2x -5x -10
simplify
x² -3x -10 True
your answer is D.(x+2)
hope this helps
An investment earns 6% simple interest. What amount of principal is needed to have $3000 after 5 years? Round your answer to the nearest cent.
Answers
The principal amount needed to have $3000 after 5 years with 6% simple interest is $10,000.
To find the principal amount needed to have $3000 after 5 years with 6% simple interest, we can use the formula for simple interest:
Simple Interest = Principal * Rate * Time
where Rate is the interest rate as a decimal, and Time is the time period in years.
We can rearrange this formula to solve for the Principal:
Principal = Simple Interest / (Rate * Time)
In this case, we want to find the Principal that will yield $3000 after 5 years with 6% simple interest. Therefore, we have:
Simple Interest = $3000
Rate = 0.06
Time = 5 years
Plugging these values into the formula, we get:
Principal = $3000 / (0.06 * 5) = $10,000
Therefore, the principal amount needed to have $3000 after 5 years with 6% simple interest is $10,000.
Ms shoe kept 2 meatballs to herself then divided the others equally among her 14 children if each child got 5 meatballs how many did ms shoe have to begin with?
Answers
Meatballs each child got = 5
Number of children Ms. Shoe has = 14
Hence, total number of meatballs = 2 + (14 * 5) = 2 + 70 = 72
If a conditional and its converse are always true, then the statement is a
A. converse.
B. conditional.
C. biconditional.
D. counterexample.
Answers
If a conditional and its converse are always true, then the statement is a biconditional.
Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon.
What value of c makes the equation true? −3−34(c−4)=54
Answers
-3-34c+136= 54
Then combine like terms
-34c+133=54
Subtract 133 from both sides
-34c=-79
Divide both sides by -34
c= 79/34
Final answer: 79/34
Why is indirect compensation important to recruiting and retaining employees?
Answers
Indirect compensation is significant for retaining employees as it creates job security, motivates productivity, and reduces costs of recruitment and training. It also plays a role in managing modern workforce, which requires a more flexible and multi-faceted approach to retain.
Explanation:Indirect compensation is important for recruiting and retaining employees in several ways. One of them is that it often works under an implicit contract, where the employer tries to maintain wages even when the economy or the business is not doing well, providing a form of protection for the employees. This implicit contract can make workers feel secure and motivated, hence improving productivity and reducing the likelihood of them leaving the firm.
Moreover, retaining employees from more modern generations can be more challenging since their expectations differ from those of previous generations; they tend to lack inherent company loyalty, hence, frequent rewards, praises, and feedback are essential. On the other hand, the efficiency wage theory argues that better pay results in higher productivity since the employees are motivated to work harder to maintain their current job because they realize that they could suffer a wage cut if they were to lose it.
Lastly, to avoid the costly and time-consuming endeavor of hiring and training new employees, employers often find it advantageous to pay a little more to the existing ones, a strategy that not only minimizes costs but also retains skilled and motivated employees.
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Which of the following, if substituted for y, would make the following inequality a true statement? –14 < y – 12?
Answers
For example y=0
-14 < 0-12
= -14 < -12
A 2,000-foot-long fence will be used to enclose a rectangular field that is three times as long as it is wide. What is the length of the field?
Answers
2000 = 8b
b=2000/8
b= 250’
L=750’
The length of rectangular field would be: 750ft
What is perimeter?Its the sum of length of the sides used to made the given figure.
Given the rectangle perimeter (2,000 ft) and the ratio of rectangle length : width (3:1).
The equation of this question should be:
3 rectangle width = rectangle length
rectangle width = 1/3 rectangle length
The rectangle perimeter = 2,000ft
Using the formula of perimeter of rectangle = 2(length+width)
Now, Length of rectangular field is calculated as;
2,000ft = 2 (length+width)
2,000ft /2 = 1/3 length + length
length = 750ft
Hence, The length of rectangular field would be: 750ft
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Michael has a total of$4.40 in dimes (1 dime=$0.10) and quarters (1quarter=$0.25), and he has 20 coins in total. Which of the following systems of equations can be used to find the number of dimes, d, and the number of quarter,q, he has?
Answers
0.1d+0.25q=4.40 Let's just read what this says: first, # of dimes (d) plus # of quarters (q) is 20.The second equation can be called the VALUE EQUATION; it says that one tenth of a dollar ($0.10) times the # of dimes is part of the total monetary value, and that one quarter of a dollar ($0.25) times the # of 'quarter' coins is the other part of this stash, and it totals $4.40. VOTE FOR A.
Final answer:
To solve for the number of dimes and quarters Michael has, we use two equations: 0.10d + 0.25q = 4.40 for the total value, and d + q = 20 for the total quantity of coins.
Explanation:
To find the number of dimes, d, and the number of quarters, q, Michael has, we need two equations to form a system. The first equation will represent the total amount of money in terms of dimes and quarters, and the second one will represent the total number of coins.
The value of a dime is $0.10 and the value of a quarter is $0.25. The total amount of money, $4.40, can be represented as 0.10d + 0.25q = 4.40. This is the value equation.
Since there are 20 coins in total, the second equation will simply be the count of both types of coins together: d + q = 20. This is the quantity equation.
The system of equations to find the number of dimes and quarters is:
0.10d + 0.25q = 4.40 (value equation)
d + q = 20 (quantity equation)
If the length of the hypotenuse is 14 miles and the angle of reference is 30 degrees, what is the length of the opposite side to the angle?
Answers
If PQ = PQ then PQ = PQ
Answers
I hope this helps :)