Answers
Answer:
[tex]\begin{array}{|c|c|}\cline{1-2} n& P\\\cline{1-2} 1& 0.5\\\cline{1-2} 2& 0.74\\\cline{1-2}3& 0.82\\\cline{1-2} 4 & 0.86\\\cline{1-2} 5& 0.89\\\cline{1-2} 6& 0.91\\\cline{1-2} 7& 0.92\\\cline{1-2} 8& 0.93\\\cline{1-2} 9& 0.94\\\cline{1-2} 10& 0.95\\\cline{1-2} \end{array}[/tex]
Step-by-step explanation:
Given function:
[tex]P=\dfrac{0.5+0.9(n-1)}{1+0.9(n-1)}[/tex]
To complete the table, substitute the given values of n into the given function.
[tex]\boxed{\begin{aligned}n=1 \implies P & =\dfrac{0.5+0.9(1-1)}{1+0.9(1-1)}\\\\P & =\dfrac{0.5+0.9(0)}{1+0.9(0)}\\\\P & =\dfrac{0.5+0}{1+0}\\\\P & =\dfrac{0.5}{1}\\\\P&=0.5\end{aligned}}[/tex]
[tex]\boxed{\begin{aligned}n=2 \implies P & =\dfrac{0.5+0.9(2-1)}{1+0.9(2-1)}\\\\P & =\dfrac{0.5+0.9(1)}{1+0.9(1)}\\\\P & =\dfrac{0.5+0.9}{1+0.9}\\\\P & =\dfrac{1.4}{1.9}\\\\P&=0.74 \; \sf (2 \; d.p.)\end{aligned}}[/tex]
[tex]\boxed{\begin{aligned}n=3 \implies P & =\dfrac{0.5+0.9(3-1)}{1+0.9(3-1)}\\\\P & =\dfrac{0.5+0.9(2)}{1+0.9(2)}\\\\P & =\dfrac{0.5+1.8}{1+1.8}\\\\P & =\dfrac{2.3}{2.8}\\\\P&= 0.82 \; \sf (2 \; d.p.)\end{aligned}}[/tex]
[tex]\boxed{\begin{aligned}n=4 \implies P & =\dfrac{0.5+0.9(4-1)}{1+0.9(4-1)}\\\\P & =\dfrac{0.5+0.9(3)}{1+0.9(3)}\\\\P & =\dfrac{0.5+2.7}{1+2.7}\\\\P & =\dfrac{3.2}{3.7}\\\\P&= 0.86 \; \sf (2 \; d.p.)\end{aligned}}[/tex]
[tex]\boxed{\begin{aligned}n=5 \implies P & =\dfrac{0.5+0.9(5-1)}{1+0.9(5-1)}\\\\P & =\dfrac{0.5+0.9(4)}{1+0.9(4)}\\\\P & =\dfrac{0.5+3.6}{1+3.6}\\\\P & =\dfrac{4.1}{4.6}\\\\P&= 0.89\; \sf (2 \; d.p.)\end{aligned}}[/tex]
[tex]\boxed{\begin{aligned}n=6 \implies P & =\dfrac{0.5+0.9(6-1)}{1+0.9(6-1)}\\\\P & =\dfrac{0.5+0.9(5)}{1+0.9(5)}\\\\P & =\dfrac{0.5+4.5}{1+4.5}\\\\P & =\dfrac{5}{5.5}\\\\P&= 0.91 \; \sf (2 \; d.p.)\end{aligned}}[/tex]
[tex]\boxed{\begin{aligned}n=7 \implies P & =\dfrac{0.5+0.9(7-1)}{1+0.9(7-1)}\\\\P & =\dfrac{0.5+0.9(6)}{1+0.9(6)}\\\\P & =\dfrac{0.5+5.4}{1+5.4}\\\\P & =\dfrac{5.9}{6.4}\\\\P&=0.92 \; \sf (2 \; d.p.)\end{aligned}}[/tex]
[tex]\boxed{\begin{aligned}n=8 \implies P & =\dfrac{0.5+0.9(8-1)}{1+0.9(8-1)}\\\\P & =\dfrac{0.5+0.9(7)}{1+0.9(7)}\\\\P & =\dfrac{0.5+6.3}{1+6.3}\\\\P & =\dfrac{6.8}{7.3}\\\\P&=0.93\; \sf (2 \; d.p.)\end{aligned}}[/tex]
[tex]\boxed{\begin{aligned}n=9 \implies P & =\dfrac{0.5+0.9(9-1)}{1+0.9(9-1)}\\\\P & =\dfrac{0.5+0.9(8)}{1+0.9(8)}\\\\P & =\dfrac{0.5+7.2}{1+7.2}\\\\P & =\dfrac{7.7}{8.2}\\\\P&=0.94 \; \sf (2 \; d.p.)\end{aligned}}[/tex]
[tex]\boxed{\begin{aligned}n=10 \implies P & =\dfrac{0.5+0.9(10-1)}{1+0.9(10-1)}\\\\P & =\dfrac{0.5+0.9(9)}{1+0.9(9)}\\\\P & =\dfrac{0.5+8.1}{1+8.1}\\\\P & =\dfrac{8.6}{9.1}\\\\P&=0.95 \; \sf (2 \; d.p.)\end{aligned}}[/tex]
Related Questions
14=6+z over -2 whats the answer please i need help
Answers
Answer:
Hi!
If you're trying to solve for z, the answer would be -34.
I hope this helps you :)
Question 2 of 10 A tessellation could be created using circles like the one shown below. A. True B. False
Answers
Answer:
B. False
Step-by-step explanation:
You want to know if it is true that a tessellation can be created from circles.
TessellationA tessellation is the covering of a plane, using one or more geometric shapes with no overlaps and no gaps.
As the attachment shows, it is not possible to cover a plane with circles, leaving no gaps.
A tessellation cannot be created using circles. The proposition is False.
A line passes through point (-6, 1) and has a slope of 4/3 write an equation in Ax+By=C
Answers
The equation in the form Ax+ By=C is 4x-3y=27 if the line passes through the point (-6, 1) and slope is 4/3.
What is meant by an equation?A mathematical formula that connects two expressions with the equals sign (=) expresses the equality of the two expressions. The word equation and its translations in several languages might have slightly different meanings. For instance, in French, an equation is defined as including one or more variables, whereas in English, an equation is defined as any properly expressed formula that consists of two expressions joined by the equals sign.
The values of the variables that must fulfill the equality to make up the solution are referred to as the unknowns, together with the variables for which the equation must be solved.
Given point is (-6, 1)
Slope m=4/3
The equation of the line is:
y-y₁=m(x-x₁)
y-1=(4/3)(x+6)
3y-3=4x+24
4x-3y=27
Therefore, the equation in the form Ax+ By=C is 4x-3y=27
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a population grows exponential. if it was 3190 initially and after 4 years grew to 3605 what is formula?
Answers
The exponential formula that shows population is y = y₀ (1.031)ˣ.
What is an exponential function?An exponential function is a function which can be defined as y = y₀ aˣ, Where 'x' is a variable and 'a' is a constant.
Given that,
The growth of population is exponential.
Also,
The initial population y₀ = 3190.
And after 4 year the population y = 3605.
Use exponential formula
y = y₀ aˣ (1)
Where x = time
Substitute the values in the formula,
3605 = 3190 a⁴
3605/3190 = a⁴
1.13009 = a⁴
a = 1.031
Substitute the value of a in equation (1),
y = y₀ (1.031)ˣ
The required formula is y = y₀ (1.031)ˣ.
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Cathy is planning to take the Certified Public Accountant Examination (CPA exam). Records kept by the college of business from which she graduated indicate that 56% of students who graduated pass the CPA exam. Assume that the exam is changed each time it is given. Let n = 1, 2, 3, ... represent the number of times a person takes the CPA exam until the first pass.
(Assume the trials are independent.)
(a) What is the probability that Cathy passes the CPA on the first try? (Use 2 decimal places.)
(b) What is the probability that Cathy passes the CPA exam on the second or third try? (Use 4 decimal places.)
Answers
a) The probability that Cathy passes the CPA on the first try is of: 0.56 = 56%.
b) The probability that Cathy passes the CPA exam on the second or third try is of: 0.3548 = 35.48%.
How to calculate the probabilities?A probability is the division of the number of desired outcomes by the number of total outcomes.
56% of students who graduated pass the CPA exam, hence the probability of passing on each test, including the first, is of:
0.56 = 56%.
Then the probabilities for the second or the third test are given as follows:
Second: fails with 0.44 probability then passes with 0.56 probability.Third: fails the first two, each with 0.44 probability, then passes with 0.56 probability.Then the probability that Cathy passes the CPA exam on the second or third try is calculated as follows:
p = 0.44 x 0.56 + 0.44² x 0.56 = 0.3548 = 35.48%.
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landon's ice cream machine produced 1.2 cups of ice cream in 3 minutes. If it produced the same amount each minute, how much ice cream did the machine produce during the 2nd minute?
Answers
The ice cream that the machine produces during the 2nd minute will be 0.8 cups of ice cream.
How to illustrate the rate?Rate demonstrates how many times one number can fit into another number. They contrast two numbers by ordinarily dividing them. A/B will be the formula if one is comparing one data point (A) to another data point (B).
Typically, a rate is defined as the ratio of two quantities expressed in different units. The first quantity is typically written as the numerator of a fraction, and the second quantity is written as the denominator. By condensing them into the simplest form possible, we can calculate the rate.
A rate is a ratio that contrasts two distinct quantities represented by various units. A comparison of two numbers with various quantities or units is called a rate. A ratio or a rate out of 100 is what is known as a percentage.
Here, landon's ice cream machine produced 1.2 cups of ice cream in 3 minutes. If it produced the same amount each minute, the ice cream that the machine produces during the 2nd minute will be:
= (1.2 / 3) × 2
= 0.4 × 2
= 0.8 cups.
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The mass of a sample of bacteria has increased by 2% each day for the past 10 days. The initial mass was 5 mg. If this growth continues, which equation can be used to determine M, the mass after d days?
Answers
The growth of the mass of the sample of a bacteria is represented by the exponential model m(x) = 5 · 1.02ˣ.
How to predict the growth of the mass of the sample of a bacteria
In this problem we find the case of mass of a sample of a bacteria (m(x)), in miligrams growing in time (x), in days. This growth is done exponentially, the exponential model is shown below:
m(x) = m' · (1 + r / 100)ˣ
Where:
m' - Initial mass, in miligrams.r - Growth rate, in percentage.x - Time, in days.We have that the mass of the sample was initially 5 miligrams and grows at a rate of 2 % during 10 days. If we know that m' = 5 mg and r = 2, then the exponential model for the sample is:
m(x) = 5 · 1.02ˣ
The exponential model for the sample of a bacteria is equal to m(x) = 5 · 1.02ˣ.
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13. A particular amusement park ride will make 156 revolutions in 180 seconds. At this rate, how many revolutions will it make in 2 minutes?
14. The costume designer for the school play uses 4 feet of fabric to make 8 costumes. At the same rate, how many costumes can the designer make with 4 yards of fabric?
15. Nina can type 45 words per minute. Write the ordered pairs (number of minutes, number of words) Nina can type for 0, 1, 2, and 3 minutes.
PLEASE answer quick! It is due tomorrow and I am so tired..
Answers
2 minutes = 120 seconds
14.) 4ft/8c•3= 12ft/24
She can make 24 costumes
15.) multiply by the given numbers
(0,0), (1,45), (2,90), (3,135)
I NEED HELPPPPPPPPPPPPPPPPPP
Answers
Answer:
[tex]x = -2[/tex]
Step-by-step explanation:
[tex]\textsf {Square both sides:}\\\\(\sqrt{3x+12} )^2 = 3x + 12\\\\(\sqrt{x+8} )^2 = x + 8[/tex]
(The square of the square root of a value is the value itself
[tex](\sqrt{x} )^2 \;is\;x[/tex])
The original identity then becomes
[tex]3x + 12 = x + 8\\\\3x - x = 8 - 12\\\\2x = -4\\\\x = -4/2\\\\x = -2[/tex]
The formula for glue says to add 55ml of hardener to each container of resin. How much hardener should be added to 18 containers of resin?
Write your answer in liters.
Answers
The quantity of the hardener added to 18 containers of resin will be 990 ml.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that the formula for glue says to add 55ml of hardener to each container of resin.
The quantity of hardener for 18 containers will be calculated as,
Q = 18 x 55
Q = 990 ml
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in the equation y = 75 - 6x, what is the slope and what is the y-intercept ?
Answers
The slope and y intercept of the equation are -6 and 75 respectively.
What is slope?The slope of a line is a number that describes both the direction and the steepness of the line.
Given that, the equation of a line is y = 75 - 6x
Comparing to the standard equation of the line, y = mx+c
m = slope and c is the y intercept.
In the equation, we can see,
The slope (m) = -6
The y intercept (put x = 0) = y = 75 - 6x0
y = 75
Hence, the slope is -6 and y intercept is 75.
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PLEASE HELP IM GOING TO FAIL
4. What is the graph of the system? (1 point)
y≤x +4
2x+y≤-4
Answers
Answer:
A
Step-by-step explanation:
The answer is option A
Hope this helps :)
North Pole 3. Write an equation of a line that is parallel to the line y = 4x + 7 and
passes through point (3, 2)
Answers
Y = 4x -10
First is point slope form and second is slope intercept. Parallel lines have the same slope btw
P1.Suppose that the US population is growing by 0.94% each year and continues to grow at this rate everyyear.a. What is the overall growth factor for 30 years of population growth? (Round to 4 decimalplaces.) By what overall percentage will the US population grow over the next 30 years? (Roundto 2 decimal places.)
Answers
Answer:
Below
Step-by-step explanation:
.94 % is .0094 in decimal
this exponential growth is like a bank account compounded yearly
factor = ( 1+.0094)^30 = 1.3240
which would represent 32.40% growth
Please help me with this and show work!! I’ll give brainliest
Answers
Answer:
The original price of the tie was 20 dollars
Step-by-step explanation:
The price of the t-shirt was originally 24, but because he bought it on sale, he would have payed 12 because 24x.5=12. This means we can subtract the value payed for the shirt from the total money payed. 22(total)-12(shirt)=. 10 (tie). However, 10 is the price he payed for the tie, not its original value. We can find this by multiplying 10x2, which gives us our answer.
Answer:
20 dollars is the original price
Biologists estimate that a baby elk has a 44% chance of surviving to adulthood. Assume this estimate is correct. Suppose researchers choose 7 baby elk at random to monitor. Let X = the number who survive to adulthood. Use the binomial probability formula to find P(X = 4). Interpret this result in context.
Answers
Using the binomial probability formula the value of P ( X = 4 ) = 23.04 %.
Given :
Biologists estimate that a baby elk has a 44% chance of surviving to adulthood. Assume this estimate is correct. Suppose researchers choose 7 baby elk at random to monitor. Let X = the number who survive to adulthood. Use the binomial probability formula to find P ( X = 4 ).
here ,
p = 0.44
q = 0.56
Number of trials n = 7
P ( X = 4 ) = C ( n , r ) * p^r * q^n - r
= C ( 7 , 4 ) * 0.44^4 * 0.56^7 - 4
= 35 * 0.44^4 * 0.56^3
= 0.23037
≈ 0.2304
= 0.2304 * 100%
= 23.04 %
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A rally car race course covers 631.95 miles. The winning car completed the course in 7.5 hours. What was the average speed of the winning car?
Answers
The average speed of the winning car is 79.38 miles per hour.
Given : Distance covered by rally car race course = 515.97 miles
Time taken to complete the course by winning car = 6.5 hours
The average speed of the winning car = ( Distance covered by rally car race course) ÷ (Time taken to complete the course by winning car)
= (515.97)÷ (6.5) miles per hour
= 79.38 miles per hour
Hence, the average speed of the winning car = 79.38 miles per hour.
What is average speed?Velocity is the directional speed of an object in motion as an indication of its rate of change in position as observed from a particular frame of reference and as measured by a particular standard of time.Average speed combines two ideas in two words: average, meaning a mean derived from a lot of individual data points, and speed, which is a change in position.You can calculate the average speed for any type of motion if you can time the motion and measure the distance.To learn more about Average speed refer to:
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Liana consumes only beer and chips. Her indifference curves are all bowed inward. Consider the bundles (2,6), (4,4), and (6,2). If Liana is indifferent between (2,6) and (6,2), then Liana must
prefer (4,4) to (6,2).
Answers
If Liana is indifferent between the bundles (2,6) and (6,2), then it means that she values these two bundles equally. This means that Liana does not have a preference for one bundle over the other.
If Liana's indifference curves are bowed inward, it means that she is willing to give up more units of one good in order to get more units of the other good, as she moves along the indifference curve. This implies that Liana has a diminishing marginal rate of substitution (MRS) between the two goods.
Therefore, if Liana is indifferent between (2,6) and (6,2), it does not necessarily follow that she prefers (4,4) to (6,2). It is possible that Liana may also be indifferent between (4,4) and (6,2), or she may prefer (6,2) to (4,4). This would depend on the specific shape and location of Liana's indifference curves.
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Examine the triangles below, how do we know the triangles are congruent?
Please help it if for a test worth 105 points
Answers
The triangles are congruent by SAS rule, according to the question.
What do you mean by congruency means?
When two geometrical figures are completely same, they are said to be congruent. Congruent refers to objects that are the same size and shape. The concept of congruence can be applied to figures, angles, and line segments. Any two line segments are deemed to be congruent if their lengths are the same. If the measure of two angles is the same, they are said to be congruent. The sides and angles of two triangles are said to be equal if they are congruent. Congruent refers to objects that are precisely similar in size and shape. The forms stay equal no matter how they are rotated, flipped, or turned. For instance, create two circles with the same radius, cut them out, and stack them.
According to the given question,
We have the given information:
AC║EC
BC║DC
Now, we need to show the congruency in the given triangles,
We already have two sides of the triangles are parallel.
The angles are also same, when two lines are bisects each other.
∠ACB≈∠ACD
Therefore, the given triangles are congruent by SAS rule.
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A battery producer claimed that the mean lifetime of a battery produced by his factory was 30 hours. A competitor thought that the figure was too high and took 8 batteries at random and the lifetime of each is as follows:
a) Can the claim by the battery producer be accepted at the 5% significant level? b) Can the claim by the battery producer be accepted at the 20% significant level?
Answers
The claim of the producer can be accepted at 5% significant level since the 30 hours is within 21.8118 < X < 30.932
The claim of the producer cannot be accepted at 20% significant level since the 30 hours is not within 23.648 < X < 29.102
How to check the claim of the producerThe claim is done using t score as the sample is less than 30. the formula for t scores is as follows
= x-bar ± t(s/√n)
from the given data the mean is calculated
sample mean, x-bar = (15 + 28 + 33 + 24 + 28 + 25 + 31 + 27) / 8
= 211/8
= 26.375
sample standard deviation, s
variance = (15 - 26.375)² + (28 - 26.375)² + (33 - 26.375)² + (24 - 26.375)² + (28 - 26.375)² + (25 - 26.375)² + (31 - 26.375)² + (27 - 26.375)²) / (8 - 1)
= 207.875 / 7
= 29.696
standard deviation = √variance
= √29.6964
= 5.45
Definition of variables
mean, x-bar = 26.375
standard deviation, s = 5.45
sample size, n = 8
significance level = 5%
confidence level = 1 - significance level = 1 - 0.05 = 0.95 = 95%
z score, z
For sample size less than 30, n < 30. t scores are used
degree of freedom, df = n - 1 = 8 - 1 =7
t score for 95% confidence level and df of 7 = 2.365
substituting into the formula
= x-bar ± t(s/√n)
= 26.375 ± 2.365 (5.45 / √8)
= 26.375 ± 4.557
= 21.8118 < X < 30.932
t score for 20% significant level and df of 7 = 1.415
substituting into the formula
= x-bar ± t(s/√n)
= 26.375 ± 1.415 (5.45 / √8)
= 26.375 ± 2.727
= 23.648 < X < 29.102
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Factor x^3-125 as shown in the image attached
Answers
Answer:
Factored form is (x - 5) (x² + 5x + 25)
Step-by-step explanation:
You can get the factors directly by using the formula for a³ - b³.
What integer is tripled when 9 is added to three-fourths of it?
Answers
Answer:
4
Step-by-step explanation:
let n be the integer , then n tripled is 3n, so
[tex]\frac{3}{4}[/tex] n + 9 = 3n ( multiply through by 4 to clear the fraction )
3n + 36 = 12n ( subtract 3n from both sides )
36 = 9n ( divide both sides by 9 )
4 = n
the required integer is 4
Your friend asks for help on the following question:
Solve the system of equations using substitution:
x+7 y=0
2 x-8 y=22
Your friend says they want to rearrange the first equation for x and get x=-7 y, but now they are stuck. What needs to be done next?________
After doing this, you will now have______________
You tell your friend to remember that substitution means to replace. So we are replacing _____ with_________
Final answer is________
Answers
Answer:
(7,-1)
Step-by-step explanation:
x + 7y = 0
x = -7y Substitute -7y for x
2x -8y = 22
2(-7y) - 8y = 22
-14y - 8y = 22
-22y = 22 Divide both sides by -1
y = -1
Solve for x:
x - -7y
x = -7(-1)
x = 7
(7,-1)
You are making snack bags to sell at the fair. You want each bag to contain the same combination of carrot and celery sticks. You have 75 carrot sticks and 40 celery sticks and want to use them all.
What is the greatest number of snack bags you can make
Answers
The greatest number of snack bags is 10.
Highest Common Factor:The largest of all the common factors between two or more numbers is known as the Highest Common Factor (HCF). It is also known as the Greatest Common Element (GCF).
HCF is a fundamental method that allows you to equally distribute items throughout a group or set.
We can use the idea of HCF to determine the same when you are organizing a party and want to make sure that nothing is wasted or you require a proper calculation.
Here we have
Number of carrots = 75
Number of celery sticks = 40
Here we are making snack bags such that each bag contains the same combination of carrot and celery sticks.
To find the greatest number of snack bags we need to find HCF of 70 and 40 as given below
Write given numbers as the product of prime numbers
=> 70 = 2 × 5 × 7
=> 40 = 2 × 2 × 2 × 5
List out the common factors
=> 2 × 5
=> HCF (70, 40) = 10
Therefore,
The greatest number of snack bags is 10.
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I need the answer
2x+3y+7x+4y
Answers
Answer:
The correct answer to this expression is 9x + 7y. To find this answer, you need to combine like terms. This means that you need to add together any terms that have the same variable and coefficient. In this case, the expression has two terms with the variable x and two terms with the variable y. The coefficients of the x terms are 2 and 7, and the coefficients of the y terms are 3 and 4. To combine these terms, you need to add the coefficients of the x terms together to get 9, and add the coefficients of the y terms together to get 7. Therefore, the combined expression is 9x + 7y.
A bowling ball is dropped from a height of 40
feet.
a. Write a function that gives the height h (in feet) of the bowling ball after t seconds. h(t) =?
b. Find the height of the bowling ball after 1 second. The height of the ball after 1 second is
feet.
c. How long does the bowling ball take to hit the ground? Round your answer to the nearest hundredth of a second. The bowling ball takes about _ seconds to hit the ground.
(•
Answers
7. Return on equity will not change if the firm increases its use of debt.
Answers
The statement "Return on equity will not change if the firm increases its use of debt" is false.
What is return in equity?Return on equity (ROE) is a financial ratio that shows how well a company is managing the capital that shareholders have invested in it. To calculate ROE, one would divide net income by shareholder equity.
Given is a statement, "Return on equity will not change if the firm increases its use of debt".
As we know that, The equity equals the assets minus total debt, a company decreases its equity by increasing the debt, or we can say, when debt increases, the equity decreases and since equity is ROE's denominator, ROE in turns gets a boost.
Hence, the statement "Return on equity will not change if the firm increases its use of debt" is false.
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Find x to the nearest tenth.
Answers
After using trigonometric function the value of to the nearest tenth digit is 11.11
What is Trigonometric function ?
Trigonometric functions are mathematical functions that are used to describe relationships between certain angles and lengths in a triangle. They are based on the ratios of the sides of a right triangle and are used in a variety of applications including surveying, navigation, engineering, and physics. Trigonometric functions are commonly referred to as sine, cosine, tangent, cotangent, secant, and cosecant. Each of these functions can be used to calculate the angle of a triangle, the length of the sides, or the area of the triangle.
Function of Sine
The ratio of the opposing side's length to the hypotenuse is known as an angle's sine function.
Sin a =Opp/Hypot = CB/CA
Cos Function
The cosine of an angle is the ratio of the neighbouring side's length to the hypotenuse's length.
Adjacent/Hypotenuse = AB/CA is the cosine of.
Functional Tan
The ratio of the lengths of the adjacent and opposing sides is known as the tangent function. It should be noted that the ratio of sine and cosine to the tan may also be used to express the tan.
Tan a = Opposite/Adjacent = CB/BA
In terms of sine and cos, tan is also equivalent to:
Tan = cos a/sin a
Sin 46° = 8/x
x = 8/Sin 46°
x= 8/0.72
x=11.11
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25%498.60 how much in total
Answers
25 x 498.6 = 124.65
A coach asked the frequency of people who bought football tickets, and the data is displayed in histogram
Which of the best describes the spread and distribution of data
Answers
The correct statement regarding the spread of the data from the frequency table is given as follows:
The data has an outlier in the 13 to 15 range and shows that a large group purchased tickets to the game.
How to classify the spread of data?To classify the spread of the data, we need to understand the frequency table, which shows that number of people who purchased each range of tickets.
The frequencies mean that:
12 people purchased between 1 and 3 tickets.16 people purchased between 4 and 6 tickets. (modal class, hence unimodal distribution).10 people purchased between 7 and 9 tickets.1 person purchased between 13 and 15 tickets.The person purchasing between 13 and 15 tickets represents an outlier, as the interval 13-15 is far from the other observations in the data-set.
This means that the first option gives the correct description of the spread of the data-set.
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