The probability that the first head comes up in an odd number of tosses can be determined using geometric probability.
Explanation:When tossing a coin repeatedly until we get a head, the probability that the first head comes up in an odd number of tosses can be determined using geometric probability. Since the probability of getting a head in one toss is 0.5, the probability of getting a head in an odd number of tosses (one, three, five, etc.) can be calculated using the formula:
P(odd number of tosses) = P(tail) * P(tail) * P(tail) * ... * P(head)
The number of terms in the product is determined by the number of tosses required to get the first head. For example, if it takes 3 tosses to get the first head, the formula becomes:
P(odd number of tosses) = P(tail) * P(tail) * P(head)
Since the probability of getting a tail is 0.5 and the probability of getting a head is also 0.5, the formula simplifies to:
P(odd number of tosses) = 0.5 * 0.5 * 0.5 * ... * 0.5 = (0.5)^n
Where 'n' is the number of tosses required to get the first head.
Jeremiah flies an airplane for 2.7 hours at an average speed of 304.6 miles per hour. How far did Jeremiah fly?
Angle XYZ is rotated 270 degrees counterclockwise about the origin to form angle X’Y’Z’. Which statement shows the measure of angle X’Y’Z’?
m∠X’Y’Z’ = m∠XYZ
m∠X’Y’Z’ = 180 degrees
m∠X’Y’Z’ = 270 degrees
m∠X’Y’Z’ = 2 × m∠XYZ
Answer:m∠X’Y’Z’ = m∠XYZ
Step-by-step explanation:
if the smaller of two consecutive intergers is subtracted from two times the larger then the result is 17 . find the intergers
0.4 divided by 0.02 details on how to solve
Final answer:
To divide 0.4 by 0.02, transform the division problem into 40 divided by 2 by moving the decimal places to the right, resulting in the answer 20.
Explanation:
To solve the division of two decimal numbers, 0.4 divided by 0.02, you can follow these steps:
First, count the number of decimal places in the divisor (0.02), which is 2.Move the decimal place in both the divisor and the dividend to the right by the same number of places, turning 0.02 into 2 and 0.4 into 40.Now divide the transformed dividend (40) by the transformed divisor (2).The division now looks like 40 ÷ 2, which equals 20.
So, 0.4 divided by 0.02 equals 20. This method allows us to divide decimal numbers by converting them into whole numbers, simplifying the calculation.
Nails cost $.13 per pound and screws cost $.21 per pound. Michelle bought 1.5 pounds of nails and 3.4 pounds of screws. How much did she pay for the nails and screws?
the value of all things needed to create the good or service
The value of all things required to create a good or service are called inputs or factors of production. These include resources such as labor, materials, and machinery. Other related terms include productive efficiency, utility, sunk costs and physical capital per person.
Explanation:The value of all things needed to create a good or service is referred to as the inputs or factors of production. These include resources like labor, materials, and machinery. For instance, to produce a car, the inputs would include the metal for the body, the labor to assemble the car, and the machinery to manufacture parts. Physical capital per person refers to the machinery and equipment available to help a person produce a good or service. The concept of productive efficiency comes in when it is impossible to produce more of one good without decreasing the quantity produced of another good. Utility represents the satisfaction, usefulness, or value one obtains from consuming goods and services. Sunk costs are costs that have been incurred in the past and cannot be recovered.
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The value of all things needed to create a good or service is referred to as the inputs or factors of production.
What are factors of production?These consist of manpower, supplies, and equipment. For example, the inputs needed to construct an automobile would be labor to assemble the vehicle, machinery to make parts, and metal for the body.
The tools and machinery that can be used to assist a person in producing a good or service is referred to as physical capital per person. When it is difficult to generate more of one good without producing less of another good, the idea of productive efficiency enters the picture.
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how much water does it take to completely fill a pool that is 50 m long 25 meters wide and 2 meters deep
A distance runner is running an 18-mile race. So far, he has run 43% of the race.
Which would be the best way to estimate the number of miles the runner has run so far?
Find 40% of 10.
Find 40% of 20.
Find 50% of 10.
Find 50% of 20
Answer:
40% of 20
Step-by-step explanation:
there are 2 more than 3 times as many parrots as finches at the pet store, if there's a total of 18 parrots and finches, how many are parrots and how many are finches
Final answer:
To solve this problem, you can set up a system of equations. There are 4 finches and 14 parrots.
Explanation:
To solve this problem, we can set up a system of equations based on the given information. Let's assume that the number of finches is 'x'. According to the problem, there are 2 more than 3 times as many parrots as finches. This can be written as:
Parrots = 3x + 2
Since the total number of parrots and finches is 18, we can set up another equation:
Parrots + Finches = 18
Substituting the first equation into the second equation, we get:
(3x + 2) + x = 18
Combining like terms, we have:
4x + 2 = 18
Subtracting 2 from both sides, we get:
4x = 16
Dividing both sides by 4, we find that:
x = 4
So, there are 4 finches and 3(4) + 2 = 14 parrots.
m−14.6=9.74 4.86 23.34 24.34 25.34 wich one
The angles of a triangle are in the ratio 11 : 5 : 2. The side opposite the largest angle is 5.5 centimeters. The length of the side opposite the smallest angle of the triangle is (0.50) (1.15) (2.00) (4.40) centimeters.
Find f(x) · g(x) = (fg)(x). Simplify. f(x) = x2 + 4 g(x) = x2 − x + 5
on one of the day you went to the gym,the ratio of men to women was 3:2.if 120 men used the gym,how many women were there?
Answer:
80 women
Step-by-step explanation:
A ratio of men to women of 3:2 means that for 3 men that use the gym 2 women use the gym, so using a rule of three we can determinate how many women were on the gym that day if 120 men were there, like this:
3 men ------ 2 women
120 men ------ X
[tex]X = \frac{(120men)(2women)}{3men}=80 women[/tex]
Then, there were 80 women for the 120 men that were in the gym.
An investment firm recommends that a client invest in bonds rated AAA, A, and B. The average yield on AAA bonds is 4%, on A bonds 6%, and on B bonds 11%. The client wants to invest twice as much in AAA bonds as in B bonds. How much should be invested in each type of bond under the following conditions?
A. The total investment is $26,000, and the investor wants an annual return of $1,620 on the three investments.
B. The values in part A are changed to $38,000 and $2,360, respectively
A. The client should invest $(?) in AAA bonds, $(?)in A bonds, and $(?)in B bonds.
marta took 48 pictures of flowers and 64 pictures of beautiful scenery. She wants to display the pictures so there is the same number of each kind of picture in each display. what is the greatest number of displays she can make?
Alistar has 5 half-pound chocolate bars. it takes 1 1/2 pounds of chocolate, brockem into chunks, to make a batch of cookies How many batches can Alsiter make with the chocolate he has?
Which planets diameter is approximately 1/200 of the sun's diameter?explain
Answer:
Mars
Step-by-step explanation:
Sun is the brightest object in the sky of the Earth. It is a giant spherical star, composed of hot plasma that is located at the center of the Solar System. The diameter of the Sun is about 1.391 million km.
Mars, also known as the Red Planet, is one of the four terrestrial planets. It is the fourth planet of the Solar System. It is the second-smallest planet having diameter of about 6,779 km.
Now, diameter of Mars ÷ diameter of the Sun ≈ 6,779 km ÷ 1391000 km ≈ 1 ÷ 200
⇒ diameter of Mars ≈ (1 ÷ 200) × diameter of the Sun
Therefore, the diameter of Mars is approximately 1/200 of the diameter of the Sun.
A scientist studying bacteria begins with 20 cells. The bacteria population doubles every hour. Complete the table below to determine after how many hours there will be more than 500 bacteria cells. Time (hours) Number of bacteria cells 0 20 1 40 2 80 3 4 5 6 Write an exponential function to model this situation. Predict the bacteria population after 11 hours.
Answer:
1)
t=5 hours.
2)
40960 cells.
Step-by-step explanation:
A scientist studying bacteria begins with 20 cells.
The bacteria population doubles every hour.
Let P(t) determines the population of the bacteria in 't' hours.
Hence, by the given information our function P(t) is modeled as:
[tex]P(t)=20\times 2^t[/tex]
Now, we have to find the value of 't' such that:
P(t)>500
i.e.
[tex]20\times 2^t>500\\\\\\2^t>\dfrac{500}{20}\\\\2^t>25[/tex]
on taking logarithmic function on both side we get:
[tex]t\log 2>\log 25\\\\t>\dfrac{\log 25}{\log 2}\\\\t>4.64[/tex]
i.e. after 5 hours the population of the bacteria will exceed 500.
Now we have to find the value of function P(t) when t=11.
i.e.
[tex]P(11)=20\times 2^{11}\\\\P(11)=20\times 2048\\\\P(11)=40960[/tex]
Hence , the population of bacteria after 11 hours is:
40960 cells.
Four sisters buy a total of 3 1/2 feet of ribbon. The sisters want to share the ribbon equally. How many feet of ribbon will each sister receive
divide 3 1/2 by 4
3 1/2 = 7/2
7/2 / 4 = 7/8 foot each
Answer:
[tex]\frac{7}{8}[/tex] feet.
Step-by-step explanation:
Four sister bought a total of ribbon = [tex]3\frac{1}{2}[/tex] feet
= [tex]\frac{7}{2}[/tex] feet
The sisters want to share the ribbon equally.
So we will divide the total length of the ribbon by 4.
= [tex]\frac{7}{2}[/tex] ÷ 4
= [tex]\frac{7}{2}[/tex] × [tex]\frac{1}{4}[/tex]
= [tex]\frac{7}{8}[/tex] feet.
Each sister will receive [tex]\frac{7}{8}[/tex] feet of ribbon.
What are the next three terms of the geometric sequence 32, -16, 8, …?
a.
2, 1, 1/2
c.
-8, 16, -32
b.
4, 2, 1
d.
-4, 2, -1
Rose and Dennis each open a savings account at the same time. Rose invests $2,600 in an account yielding 4.1% simple interest, and Dennis invests $2200 in an account yielding 5.7% simple interest. After nine years, who has the greater total amount of money, and how much greater is it?
how many oz are in 2lb
simon used 3 pears and 9 apples to make a salad. what was the ratio of the number of pears to the number of apples in the salad?
Find the largest number δ such that if |x − 1| < δ, then |5x − 5| < ε, where ε = 0.1. δ ≤ repeat and determine δ with ε = 0.01.
Hi, here we want to "finish" a delta-epsilon proof.
We will find that the maximum delta is: δ = 0.02
We just want to find the value of δ such that:
[tex]|x - 1| < \delta[/tex]
Implies that:
[tex]|5x - 5| < \epsilon[/tex]
Well, let's start with the second expression:
[tex]|5x - 5| < \epsilon[/tex]
We can take the 5 out of the absolute value:
[tex]5*|x - 1| < \epsilon[/tex]
Now we can divide both sides by 5:
[tex]|x - 1| < \epsilon/5[/tex]
Now, if you look at the above expression, in the left side we have the same thing as in the delta inequality.
So for now we have:
[tex]|x - 1| < \epsilon/5[/tex]
[tex]|x - 1| < \delta[/tex]
From this is easy to conclude that the maximum value that delta can take is:
δ = ε/5
And we know that ε = 0.1, then we have:
δ = 0.1/5 = 0.02
δ = 0.02
The maximum value that delta can take is 0.02
Then we need to repeat it for ε = 0.01, so we get:
δ = 0.01/5 = 0.002
δ = 0.002
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what percent is equivalent to 8/40
divide:
8/40 = 0.2
0.2 = 20%
If x=2 calculate the value of x squared +2x
On Saturday, a local hamburger shop sold a combined total of 392 hamburgers and cheeseburgers. The number of cheeseburgers sold was three times the number of hamburgers sold. How many hamburgers were sold on Saturday?
Using the equation, 98 hamburgers were sold on Saturday.
What is an equation?An equation is an equality relationship between two expressions written on both sides of the equal to sign.
Let the number of hamburgers sold be h and number of cheeseburgers sold be c.
Then we can formulate an equation
c = 3h
c + h = 392
3h + h = 392
4h = 392
h = 98
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Create two whole number division problems that have a quotient of 9 and a remainder of 5. Justify which is greater using decimal division
A painting crew bought 30 gal of paint for a job. The crew members used 3 gal of paint per hour until they used all the paint.
Which sketch represents this situation?
A) A graph in the first quadrant containing a line segment. The x axis is labeled Hours and the y axis is labeled Gallons remaining. The endpoints of the line segment are begin ordered pair 0 comma 3 end ordered pair and begin ordered pair 30 comma 0 end ordered pair.
B) A graph in the first quadrant containing a line segment. The x axis is labeled Hours and the y axis is labeled Gallons remaining. The endpoints of the line segment are begin ordered pair 0 comma 30 end ordered pair and begin ordered pair 10 comma 0 end ordered pair.
C) A graph in the first quadrant containing a line segment. The x axis is labeled Hours and the y axis is labeled Gallons remaining. The endpoints of the line segment are begin ordered pair 0 comma 10 end ordered pair and begin ordered pair 30 comma 0 end ordered pair.
D)A graph in the first quadrant containing a line segment. The x axis is labeled Hours and the y axis is labeled Gallons remaining. The endpoints of the line segment are begin ordered pair 0 comma 30 end ordered pair and begin ordered pair 3 comma 0 end ordered pair.
Answer:
Step-by-step explanation:
They have 30 gallons of paint and for each hour that passes, they use 3 gallons of paint. Therefore, we can express that as a function:
y = -3x + 30
where y = gallons left
and x = hours passed
Therefore, the end points are (0, 30) and (10, 0)
Using our function when 0 hours has passed:
y = -3(0) + 30
y = 30
Therefore one endpoint is when x = 0 y = 30 or (0,30)
Using our function when 10 hours has passed:
y = -3(10) + 30
y = -30 + 30
y = 0
Therefore one endpoint is when x = 10 y = 0 or (10, 0)
The graph can be seen in the picture below.
The remainder when aa is divided by 77 is 22 and the remainder when bb is divided by 77 is 55. (so a mod 7=2a mod 7=2, b mod 7=5b mod 7=5) find: (a+a) mod 7(a+a) mod 7 equation editor equation editor (a+b) mod 7(a+b) mod 7 equation editor equation editor (3a) mod 7(3a) mod 7 equation editorequation editor (2b) mod 7(2b) mod 7
The modulo of the expressions are computed as follows: (a+a) mod 7 = 4, (a+b) mod 7 = 0, (3a) mod 7 = 6, and (2b) mod 7 = 3.
Explanation:I'm sorry, but I'm afraid there might have been some confusion in your input. If you wanted the remainders of different expressions when divided by 7, here are the steps:
Given that a mod 7 = 2 and b mod 7 = 5, you can use modular arithmetic to compute the modulo of expressions including a and b:
(a+a) mod 7 = 2a mod 7. Since a mod 7 = 2, then 2a mod 7 = 4 mod 7.(a+b) mod 7 = 2+5 mod 7 = 7 mod 7 = 0.(3a) mod 7 = 6 mod 7.(2b) mod 7 = 10 mod 7 = 3.Learn more about Modular Arithmetic here:https://brainly.com/question/13089800
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