A ship must have 1 lifeboat for every 12 passengers, plus one lifeboat for
the crew and one backup lifeboat. Which equation shows the
relationship between the number of passengers, p, and the number of
lifeboats needed, I?
Select one
1) I= 2 + 1/2
2) I= 2p + 10
3) I= 12p
4)I=2+ p/12
Answers
===========================================
Explanation:
p = number of passengers
L = number of lifeboats
Since we're grouping the passengers in groups of 12, this strongly implies we'll be dividing two values. Specifically we have p divided by 12 to represent the number of boats we will need just for the passengers.
For example, let's say p = 36. This means we have 36 passengers. That would mean we need p/12 = 36/12 = 3 boats for those 36 passengers. This excludes the crew and backup boat. Adding those two extra boats leads to the expression 2 + p/12 which is the total number of lifeboats needed.
In the event that p is not a multiple of 12, this leads to p/12 not being a whole number. We could have say p = 50 passengers which means p/12 = 50/12 = 4.167 approximately. We will not round this to 4 because then we'll have passengers without a lifeboat.
We must round 4.167 up to the nearest whole number to get 5. The first four boats take care of 4*12 = 48 passengers, while that 5th boat handles the remaining 50-48 = 2 people. Since 2 people in a boat seems like a really low count, the crew could likely spread the people out such that say 10 people would be in each boat (since 50/10 = 5).
So in short, the result of p/12 is rounded up to the nearest whole number.
Related Questions
There are 36 students in a class. If 4/9 of the
students are girls, how many girls are in the class?
Answers
Answer:
16
Step-by-step explanation:
All you have to do 4/9 of 36 which is 16.
Hope this helps!!
Where is the graph of f(x)=4[x-3]+2 discontinuos
Answers
Answer:
Below
Step-by-step explanation:
4 [x-3] + 2 = y is not discontinuous anywhere
However 4 / [x-3] + 2 DOES have a discontinuity at x = 3 because this would cause the denominator to be zero <===NOT allowed !!
what is the value of x in 5x-2(2x-1)=6
Answers
anyone know how to work this out -2p-5=-37
Answers
+5. +5
-2p=-32
Divide -2 on both sides
P=16
please help i need this by tonight
Answers
All the questions are answered below.
What are angles?In Euclidean geometry, an angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle. Angles formed by two rays lie in the plane that contains the rays. Angles are also formed by the intersection of two planes. These are called dihedral anglesGiven are the geometrical figures as shown in the image.
{A} -We can write -
(6x - 11) + (x + 5) + 81 = 180
6x - 11 + x + 5 + 81 = 180
7x + 75 = 180
7x = 105
x = 15
and
(4y - 18) + (y + 14) + (6x - 11) = 180
4y - 18 + y + 14 + 6x - 11 = 180
5y + 6x - 15 = 180
5y + 6x = 165
5y + 90 = 165
5y = 75
y = 15
{B} -External angle = sum of two opposite interior angles.
{B.1} -
152 = ∠1 + 115
∠1 = 152 - 115
∠1 = 37°
{B.2} -
∠1 = 62 + 67
∠1 = 129°
{C} -External angle = sum of two opposite interior angles.
73 = ∠3 + 49
∠3 = 73 - 49
∠3 = 24°
and
∠1 = 180 - 118
∠1 = 62°
and
73° + 62° + ∠2 = 180°
∠2 = 180 - 135
∠2 = 45°
{D} -External angle = sum of two opposite interior angles.
{D.1} -
(11x - 1) + (20x - 3) = 151
31x - 4 = 151
31x = 155
x = 5
{D.2} -
(4x + 13) + (6x + 2) = 14x - 13
10x + 15 = 14x - 13
4x = 2
x = 1/2
Therefore, all the questions are answered above.
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when c is 21 what is the value of a what is the value of b that goes with this value of a
Answers
Answer:
I need more info
Step-by-step explanation:
The value of b that goes with this value of a is 15.
What is a Function?A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences. The German mathematician Peter Dirichlet initially offered the contemporary definition of function in 1837: A variable y is said to be a function of the independent variable x if there is a relationship between them such that whenever a numerical value is assigned to x, there is a rule that determines a specific value of y.
As per the given data:
b = 4a - 5
The values of a and c are given in the table correspondingly.
When c is 21
The value of a = 5 and
The value of b = 4(5) -5 = 15
Hence, the value of b that goes with this value of a is 15.
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(The question given is incomplete, the complete question is given below.)
The equation and the tables represent two different functions. Use the equation b=4a-5 and the table to answer the questions. This table represents C as a function of A.
when c is 21 what is the value of a what is the value of b that goes with this value of a
In a recent election, 63% of all registered voters participated in voting. In a survey of 275 retired voters, 162 participated in voting. Which is higher, the population proportion who participated or the sample proportion from this survey?
Answers
The population proportion who participated in voting (63%) is higher than the sample proportion from this survey (58.91%).
To determine whether the population proportion who participated in voting or the sample proportion from the survey is higher, we need to compare the percentages.
The population proportion who participated in voting is given as 63% of all registered voters.
This means that out of every 100 registered voters, 63 participated in voting.
In the survey of retired voters, 162 out of 275 participants voted. To calculate the sample proportion, we divide the number of retired voters who participated (162) by the total number of retired voters in the sample (275) and multiply by 100 to get a percentage.
Sample proportion = (162 / 275) \(\times\) 100 ≈ 58.91%, .
Comparing the population proportion (63%) with the sample proportion (58.91%), we can see that the population proportion who participated in voting (63%) is higher than the sample proportion from this survey (58.91%).
Therefore, based on the given data, the population proportion who participated in voting is higher than the sample proportion from this survey.
It's important to note that the sample proportion is an estimate based on the surveyed retired voters and may not perfectly represent the entire population of registered voters.
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Alonzo is exploring the formula for the circumference of a circle. He computed the circumferences of several circles with different radii. He then plotted the results and connected them with a line, as shown below. The graph shows the circumference (in cm) versus the radius (in cm).
Find the range and the domain of the function shown
Answers
Alonzo's graph which shows the proportional relationship between the circumference and the radius, has a starting point of (0, 0), and the value of the circumference (the range), increases proportionately with the values of the radius (the domain).
(a) range: 0 ≤ r < ∞
(b) Domain: 0 ≤ r < ∞
What is a function in mathematics?A function can be described as an outline or expression of the relationship between two variables, an input and an output variable, in which input variable has exactly one value in the output.
The given graph in the question is the graph of the circumference of a circle to the radius of the circle.
The relation between the circumference of a circle, C, and the radius is presented as follows;
C = 2·π·r
Which gives; \(\displaystyle {2\cdot \pi = \frac{C}{r} }\)
The relationship is a proportional relationship, and the constant of proportionality is 2·π.
Therefore, points on the graph includes (0, 0), and as the value of r increases, the value of C, increases proportionately.
(a) The range, which is the possible output values, which is the possible values of the circumference is; 0 ≤ C < ∞ which is [0, ∞)
Range: 0 ≤ C < ∞
(b) The value of the circumference depends on the radius, therefore, the input variable is the radius and the output variable is the circumference, which gives, the domain as the possible values of the radius, and therefore;
Domain = 0 ≤ r < ∞ which using interval notation is [0, ∞)
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Kimberly goes bowling. It costs $5 to rent the
shoes and $3.75 for every game she plays. Which
function represents the amount of money, y.
Kimberly will pay for bowling x games?
A. y = 5x + 3.75
B. y = 3.75x + 5
C. y = 5x - 3.75
D. y = 3.75 - 5
Answers
Answer:
B is the correct function
Step-by-step explanation:
What is the equation of the line that is the parallel to x - 8y = 16 and passes throguh the point (-8, 2)
Answers
Answer:
Step-by-step explanation:
x - 8y = 16
Write in slope-intercept form: y = mx + b
-8y = -x + 16
Divide the entire equation by (-8)
\(y =\dfrac{-1}{-8}x+\dfrac{16}{-8}\\\\\\y=\dfrac{1}{8}x-2\)
Parallel lines have slope. So, the slope of the required line = 1/8
\(y =\dfrac{1}{8}x+b\\\\\\\)
(-8,2) is on the line. so, plugin the values in the above equation and find the y-intercept b
\(2=\dfrac{1}{8}*(-8)+b\\\\\\2=-1+b\\\\b = 2+1\\\\b = 3\\\\Equation \ of \ the \ required \ line:\\\\y=\dfrac{1}{8}x+3\)
Answer:
\(\displaystyle x - 8y = -24\:or\:y = \frac{1}{8}x + 3\)
Step-by-step explanation:
First off, convert this standard equation to a Slope-Intercept equation:
\(\displaystyle x - 8y = 16 \hookrightarrow \frac{-8y}{-8} = \frac{-x + 16}{-8} \\ \\ \boxed{y = \frac{1}{8}x - 2}\)
Remember, parallel equations have SIMILAR RATE OF CHANGES, so ⅛ remains as is as you move forward with plugging the information into the Slope-Intercept Formula:
\(\displaystyle 2 = \frac{1}{8}[-8] + b \hookrightarrow 2 = -1 + b; 3 = b \\ \\ \boxed{\boxed{y = \frac{1}{8}x + 3}}\)
Now, suppose you need to write this parallel equation in Standard Form. You would follow the procedures below:
y = ⅛x + 3
- ⅛x - ⅛x
__________
−⅛x + y = 3 [We CANNOT leave the equation this way, so multiply by –8 to eradicate the fraction.]
−8[−⅛x + y = 3]
\(\displaystyle x - 8y = -24\)
With that, you have your equation(s).
\(\displaystyle -x + 8y = 24\)
*About this equation, INSTEAD of multiplying by –8, you multiply by its oppocite, 8. Now, you can leave it like this, but UNIVERSALLY, the A-term is positive, so you must multiply the negative out as well.
I am joyous to assist you at any time.
an spc chart shows that a process has an overall average measurement of 12.5 and an average moving range of 0.5. what are the control limits for the x chart? a ucl
Answers
The Upper Control Limit (UCL) for the X-chart is approximately 14.028.
To calculate the control limits for the X-chart (also known as the process mean chart) in a Statistical Process Control (SPC) chart, we need the average moving range (MR-bar).
The control limits for the X-chart can be determined using the following formulas:
\(Upper $ Control Limit (UCL) = X-double-bar + A2 \times MR-bar\)
\(Lower $ Control Limit (LCL) = X-double-bar - A2 \times MR-bar\)
In these formulas:
X-double-bar represents the overall average measurement.
MR-bar represents the average moving range.
A2 is a constant that depends on the sample size.
The value of A2 can be obtained from statistical tables or calculated using the following formula for sample sizes greater than or equal to 2:
\(A2 = 3.267 - (0.15 \times \sqrt{(N)} )\)
In your case, the overall average measurement is 12.5, and the average moving range is 0.5.
Assuming you have a sample size greater than or equal to 2, we can calculate the value of A2 as follows:
\(A2 = 3.267 - (0.15 \times \sqrt{(N)} )\)
\(= 3.267 - (0.15 \times \sqrt{(2)} ) (assuming N = 2, the $ minimum sample size)\)
\(\approx 3.267 - (0.15 \times 1.414)\)
≈ 3.267 - 0.2121
≈ 3.0559
Now, we can calculate the control limits for the X-chart:
\(UCL = X-double-bar + A2 \times MR-bar\)
\(= 12.5 + 3.0559 \times 0.5\)
= 12.5 + 1.52795
≈ 14.028
Therefore, the Upper Control Limit (UCL) for the X-chart is approximately 14.028.
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A rectangular prism with a square base is cut from the center of a triangular prism. each side of the square base measures 1.7 units.what is the volume of the shaded solid? round to the nearest tenth of a cubic unit.11.6 units345.4 units357.0 units368.6 units3
Answers
Rounding to the closest tenth of a cubic unit, the shaded solid's volume is 45.4 cubic units.
What is rectangular prism?The 3D shape of a rectangular prism has six rectangular faces. Multiply a rectangular prism's three dimensions—length, width, and height—to determine its volume. Cubic units are used to measure volume.
According to the given information:The following formula can be used to determine a rectangular prism's volume:
Vr = Height * Width * Length
Triangular prism volume Vt is determined by its base area and height.
concerning the rectangular prism;
Vr = 1.7 × 1.7 × 4
Vr = 11.56 units in 3
Regarding the triangular prism
Vt = 0.5 × 5.7 × 5 × 4
Vt = 57 unit3
Volume of the solid shaded by Vt - Vr
The solid's shaded volume is equal to 57 - 11.56.
The colored solid's volume is 45.44 cubic units.
Due to this, the shaded solid's volume, when rounded to the nearest tenth of a cubic unit, is 45.4 cubic units.
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Estella is a marine biologist observing the location of a rare species of sea anemone. She records the depth, in feet, of
two sea anemones. A research center sends data about where it observed two more sea anemones, but the units for depth given are
in fathoms. A fathom is a unit of length used in reference to depth of water.
Estella knows that 5 fathoms is equivalent to 30 feet.
The table below shows the depths of four sea anemones.
FIND THE MISSING VALUES
Answers
Answer:
Add the whole anwser
Step-by-step explanation:
A manufacturer of plumbing fixtures has developed a new type of washerless faucet. let rho-p(a randomly selected faucet of this type will develop a leak within 2 years under normal use). the manufacturer has decided to proceed with production unless it can be determined that p is too large; the borderline acceptable value of p is specified as 0.10. the manufacturer decides to subject n of these faucets to accelerated testing (approximating 2 years of normal use). with x = the number among the n faucets that leak before the test concludes, production will commence unless the observed x is too large. it is decided that if p = 0.10, the probability of not proceeding should be at most 0.10, whereas if rho = 0.30 the probability of proceeding should be at most 0.10. (assume the rejection region takes the form reject h if x2 c for some c. round your answers to three decimal places.)
1. what are the error probabilities for n10? p-value- can n- 10 be used?
a. it is not possible to use n = 10 because there is no value of x which results in a p-value
b. it is not possible to use n10 because it results in b(0.3)> 0.1
c. it is not possible to use n 10 because it results in b(0.3)<0.1 0.1.
d. it is possible to use n = 10 because both the p-value and β(0.3) are less than 0.1
e. it is possible to use 10 because both the p-value and b(0.3) are greater than 0.1
what are the error probabilities for n-20? p-value = β(0-3) = can n 20 be used?
a. it is not possible to use n = 20 because there is no value of x which results in a p-value
b. it is not possible to use n 20 because it results in b(0.3)0.1
c. it is not possible to use n 20 because it results in b(0.3) < 0.1
d. it is possible to use n 20 because both the p-value and b(0.3) are less than 0.1
e. it is possible to use n 20 because both the p-value and b(0.3) are greater than 0.1
2. what are the error probabilities for n-25? p-value . p(0.3) can n 25 be used?
a. it is not possible to use n-25 because there is no value of x which results in a p-value
b. it is not possible to use n 25 because it results in b(o.3) > 0.1
c. it is not possible to use n 25 because it results in b(0.3) < 0.1
d. it is possible to use n 25 because both the p-value and b(0.3) are less than 0.1
e. it is possible to use n 25 because both the p-value and b(0.3) are greater than 0.1 0.1.
Answers
It is not possible to use n = 10.
It is not possible to use n = 20.
It is possible to use n = 25.
1. The error probabilities for n = 10 are as follows:
- P-value: It is not possible to use n = 10 because there is no value of x which results in a p-value.
- Beta (0.3): B(0.3) > 0.1, which means the probability of failing to reject the null hypothesis (p = 0.1) when the true probability of a leak is actually 0.3 is too high.
Therefore, it is not possible to use n = 10.
2. The error probabilities for n = 20 are as follows:
- P-value: It is not possible to use n = 20 because it results in a beta error probability (B(0.3)) < 0.1, which means the probability of incorrectly rejecting the null hypothesis (p = 0.1) when the true probability of a leak is actually 0.3 is too low.
- Beta (0.3): B(0.3) > 0.1, which means the probability of failing to reject the null hypothesis (p = 0.1) when the true probability of a leak is actually 0.3 is too high.
Therefore, it is not possible to use n = 20.
3. The error probabilities for n = 25 are as follows:
- P-value: P(0.3) < 0.1, which means the probability of incorrectly rejecting the null hypothesis (p = 0.1) when the true probability of a leak is actually 0.3 is low enough to proceed with production.
- Beta (0.3): B(0.3) < 0.1, which means the probability of failing to reject the null hypothesis (p = 0.1) when the true probability of a leak is actually 0.3 is low enough to proceed with production.
Therefore, it is possible to use n = 25.
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Michelle has 40 coins in her piggy bank. 10 are nickels, 25 are dimes, and the rest are quarters. What is the ratio (in simplest form) of quarters to nickles?
Hurry though but not too fast ofc! :D
Answers
The ratio of quarters to nickel in the simplest form is 1:2
How to find the ratio of quarters to nickels?Michelle has 40 coins in her piggy bank. 10 are nickels, 25 are dimes, and the rest are quarters.
The ratio of quarters to nickel to the simplest form can be found as follows:
Total number of coins = 40
number of nickels = 10
number of dimes = 25
number of quarters = 40 - 25 - 10
number of quarters = 5
Therefore, the ratio of quarters to nickels is 5 : 10.
In the simplest form the ratio of quarters to nickel is 1:2
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what sampling is used for a life work balance survey
and what's its limitations that can be associated with
it?
Answers
The sampling method commonly used for a life-work balance survey is probability sampling, specifically stratified random sampling. This approach involves dividing the target population into different strata or categories based on relevant characteristics (e.g., age, gender, occupation).
Limitations associated with this sampling method include:
1. Non-response bias: There is a possibility that not all selected individuals will participate in the survey, leading to non-response bias. Those who choose not to participate may have different perceptions of life-work balance, which can affect the generalizability of the findings.
2. Sampling error: Probability sampling aims to reduce sampling error by providing a representative sample of the population. However, there is still a chance that the selected sample may not perfectly reflect the entire population, resulting in sampling error. The extent of sampling error can be quantified using measures such as confidence intervals.
3. Limited generalizability: While probability sampling provides a more representative sample, the findings may still have limited generalizability to populations with different characteristics or contexts. It is important to consider the specific characteristics of the sample and the context in which the survey was conducted when interpreting and applying the results.
4. Cost and time constraints: Probability sampling can be time-consuming and expensive, especially when the target population is large or geographically dispersed. Practical constraints may limit the ability to survey a truly representative sample, and compromises may need to be made.
Overall, while probability sampling is a widely accepted method for achieving representative samples in surveys, it is essential to acknowledge and consider its limitations to ensure accurate interpretation and application of the survey findings.
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Under the right growing conditions, a particular
species of plant has a doubling time of 12 days. Suppose a
pasture contains 46 plants of this species. How many
plants will there be after 20, 65, and x days?
Answers
Based on the information, we can infer that after 20 days there will be 153 plants and after 65 days there will be 498 plants.
How to find the number of plants after 20 and 65 days?To find the number of plants that will be after 20 and 65 days we must take into account the number of initial plants and the number of days required for the plantation to double.
Every 12 days it doubles.Initial amount 46 plants.According to the above, we must make a rule of 3 as shown below:
12 - 92
20 -
= 20 * 92 / 12 = 153
12 - 92
65
= 65 * 92 / 12 = 498
According to the above, after 20 days there will be 153 plants and after 65 days there will be 498 plants.
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What is the value of x in the equation 3x – one-ninthy = 18, when y = 27?
Answers
Answer:
7
Step-by-step explanation:
3x- 1/9y = 18
value of x when y is 27
3x- 1/9*27 = 18
3x- 3 = 18
3x = 18 + 3
3x = 21
x= 21/3
x = 7
Hope this helps you!
Answer:
x = 7
Step-by-step explanation:
3x-1/9(27) = 18
x = 21/3
=7
If the answer is right for my question you get brainilest!!!
Answers
Answer:hello
Step-by-step explanation:
A ________ is the value of a statistic that estimates the value of a parameter a critical value b standard error c. level of confidence d point estimate Question 2 Mu is used to estimate X True False Question 3 Beta is used to estimate p True False
Answers
A point estimate is the value of a statistic that estimates the value of a parameter. Question 2 is false and question 3 is true.
Question 1: A point estimate is the value of a statistic that estimates the value of a parameter.A point estimate is a single number that is used to estimate the value of an unknown parameter of a population, such as a population mean or proportion
Question 2: False
Mu (μ) is not used to estimate X. Mu represents the population mean, while X represents the sample mean. The sample mean, X, is used as an estimate of the population mean, μ.
Question 3: True
Beta (β) is indeed used to estimate the population proportion (p) when conducting hypothesis testing on a sample. Beta represents the probability of making a Type II error, which occurs when we fail to reject a null hypothesis that is actually false. By calculating the probability of a Type II error, we indirectly estimate the population proportion, p, under certain conditions and assumptions.
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p and q are both prime numbers with p < q.
They are each less than 18
Give an example where p + q is odd but not prime.
Answers
The value of p is 2 and q is either 7 or 13 and their sum is either 9 or 15.
It is given that the value of p and q is a prime number, and p<q.
But it is also given that the value of both should be less than 18 as well as a prime number.
Therefore the value of both should be 2, 3, 5, 7, 11, 13, and 17.
And it is also given that p<q.
Now we have to find the value of p + q which is odd but not a prime number.
To have a sum as an odd number one number should be even and as it is given that p<q, therefore p=2, and q = 3, 5, 7, 11, 13, 17.
So
p + q = 2 + 5 = 7, which is odd but it is prime
Now again, q = 7
p + q = 2 + 7 = 9 , which is odd as well as not prime.
Again take q = 11
p + q = 2 + 11 = 13, which is odd but prime
Now take q = 13
p + q = 2 + 13 = 15, which is odd as well as not prime.
Now take q = 17
p + q = 2 + 17 = 19, which is odd and prime.
Therefore we have p =2 and q = 7 or 13 and sum p + q =9 or 15 which is odd but not prime.
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Suppose you and 3 friends are gathering postage stamps to set the world record in postage stamp collecting. The current record is 150,000. If your friends collected 10,000, 75,000, and 100 stamps, how many do you need to collect so the group of you can break the record? (use inequalities)
Answers
Total 64900 stamps more is needed to be collected so the group can break the record.
The current record is 150,000.
Friends collected 10,000, 75,000, and 100 stamps
Let the total stamps need to be collected to break the world record be x,
The total stamps collected should be greater than 150000 to break the world record
10000 + 75000 + 100 + x > 150000
85100 + x > 150000
x > 64900
The total stamps need to be collected is greater than 64900 to break the world record.
Therefore, 64900 stamps need to be collected so the group can break the record.
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write twelve thousand twelve hundred and twelve in numbers
Answers
Answer:
12, 120,012
Step-by-step explanation:
Hailey purchased a laptop computer, a printer, and a wireless router. The
printer cost $99 before taxes. The wireless router cost $34 before taxes.
The total amount she paid, including a 7% sales tax, was $814.27. What
was the cost of the laptop computer, before sales tax?
Answers
Answer:
$628
Step-by-step explanation:
The price before tax was 814.27/1.07 = 761
761 - 99 - 34 = 628
What is the answer to this one i don’t know it
Answers
Answer:
-4.7 times 10⁴
Step-by-step explanation:
Check what numbers match: 5.1 times 10⁸ - 9.8 times 10⁴
Subtract and get: -4.7 times 10⁴
Simply put, you subtract the 5.1 and 9.8 like normal and subtract the exponents from the 10⁸ and 10⁴ since they have the same base.
I hope this helps!
helppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp
Answers
Answer:
I'm guessing 60km.
Step-by-step explanation:
So per hour,
45km÷3=15km/h
Thereof,
In 4 hours,
15×4=60km.
on a popular fictional game show, contestants are given the opportunity to win money by reaching into a bag after being blindfolded and selecting a chip with a dollar amount written on it. assume all chips are identical. the bag contains four chips with a $0 amount, six chips with $1, five chips with $5, two chips with $10, and one chip with $100. the chips are mixed in the bag before the contestant draws their chip. a. construct a probability mass function (pmf) for x, the dollar amount won by a contestant in this game. b. what is the expected value for x?
Answers
Construct a probability mass function (pmf) for x, the dollar amount won by a contestant in this game is 1/18.
What is a probability math example?
Probability is the measurement of how likely something is to happen. As an example, since there is only one way to get a head and a total of two possible results, the likelihood of flipping a coin and getting heads is one in two. a tail or a head. We write P(heads) = 12 here. The four most popular approaches to probability are axiomatic, classical, empirical, and subjective.from above total number of chips =4+6+5+2+1 =18
hence Probabilty of win 0 P(0)=4/18
P(1) =6/18
P(5) =5/18
P(10) =2/18
P(100)=1/18
x P(x) xP(x)
0 0.22 0.00
1 0.33 0.33
5 0.28 1.39
10 0.11 1.11
100 0.06 5.56
8.39
therefore expeted value =8.39
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Perform the following operation
and express the answer in
scientific notation.
7.296x102 : 9.6x10-9
7.6 x 10
[?]
Х
Enter
Answers
Answer:
answer is 10 ^ 10
Step-by-step explanation:
7.296 × 10² / 9.6 × 10^ -9
= 0.76 × 10^11
= 7.6 × 10^10
What part of this question is an hour
Answers
291 of 60 minutes
97/20 of an hour as a fraction
Step by step
11:24 to 12:00 is 36 minutes
12:00 to 4:15 is 255 minutes
Total minutes passed is 291 minutes
291 minutes over 1 hour
291/60 minutes
Simplify to 97/20 as a fraction
4.85 as a fraction
Which of the following is the approximate measure of one of the sides of the Pentagon?
Answers
5) The circumcircle is the circle we can draw around the pentagon, where the pentagon is inside the circle.
The diameter of that circumcircle is 483.28 meters.
We have to find the length of one of the sides.
The diameter can be converted to a radius dividing it by 2:
\(r=\frac{D}{2}=\frac{483.28}{2}=241.64\)We will need to also know the measure of the interior angle of the pentagon.
For regular polygons we can calculate it as:
\(\begin{gathered} \alpha=\frac{(n-2)}{n}\cdot180\degree \\ \alpha=\frac{(5-2)}{5}\cdot180\degree \\ \alpha=\frac{3}{5}\cdot180\degree \\ \alpha=108\degree \end{gathered}\)We can then draw a right triangle that will let us calculate the side length (a):
As the radius R bisects the interior angle, we have an angle in the triangle that is half the interior angle: 108/2 = 54°.
Then, we can use trigonometric ratios to find a:
\(\begin{gathered} \cos(54\degree)=\frac{Adjacent}{Hypotenuse}=\frac{a\/2}{R} \\ R\cdot\cos(54\degree)=a\/2 \\ a=2R\cdot\cos(54\degree) \\ a\approx2\cdot241.64\cdot0.5877 \\ a\approx284.06 \end{gathered}\)Answer: 284.06 meters.
