\(\\ \rm\longmapsto 1\dfrac{5}{9}\)
\(\\ \rm\longmapsto \dfrac{9+5}{9}\)
\(\\ \rm\longmapsto \dfrac{14}{9}\)
\(\\ \rm\longmapsto 1.55555\dots\)
\(\\ \rm\longmapsto 1.\overline{55}\)
Answer:
C. 1.55 i dont know how to do the line on top
Step-by-step explanation:
A 35-year-old woman purchases a $100,000 term life insurance policy for an annual payment of $360. Based on a period life table for the U.S. government, the probability that she will survive the year is 0.999057. Find the expected value of the policy for the insurance company.
The expected value of the policy for the insurance company: $359.38
What is probability?Probability is a mathematical term, which can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event. The possibility that an event will occur is measured by probability.
Probability of Event = Favorable Outcomes/Total Outcomes = X/n
The expected value of the policy for the insurance company can be calculated as follows:
Expected value = (Probability of survival) x (Annual payment)
= 0.999057 x $360
= $359.38
So, the expected value of the policy for the insurance company is $359.38.
It's important to note that this is just an estimate based on statistical probabilities and does not guarantee the outcome. The actual value could be higher or lower than this estimate, depending on the actual lifespan of the policyholder.
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sat prep find the value of x in each of the following exercises
Answer:
x=70
Step-by-step explanation:
Since the lines are parallel, we know angle y
60 and y are alternate interior angles and alternate interior angles are equal when the lines are parallel
y=60
The sum of the angles of the triangle are 180
x+y = 50 =180
x+60+50 =180
x+110 = 180
x = 180-110
x = 70
Answer:
x=70 degrees!!!
Step-by-step explanation:
Given that the lines are parallel, we can deduce the measure of angle y. As per the property of alternate interior angles, angle y and the given angle measuring 60° are equal when two lines are parallel. Hence, y = 60°.
Now, considering the triangle, the sum of its interior angles is always 180°. Let's set up an equation to find the measure of angle x:
x + y + 50 = 180
Since we know y = 60°, we can substitute the value and simplify:
x + 60 + 50 = 180
Combining like terms:
x + 110 = 180
To find x, we subtract 110 from both sides:
x = 180 - 110
After calculation, we get:
x = 70°
Therefore, the measure of angle x is 70°.
Erwin Middle School has 350 boys. 66 2/3% of the students are girls. How many students go to this school?
By working with the given percentage, we will find that there are 1,050 students in the school.
How many students go to the school?
First, we know that (66 + 2/3)% = (66.66...%) of the students are girls.
Then the remaining 33.33% are boys.
And we know that there are 350 boys, so the 33.33...% of the students is equal to 350.
So we can write the equations for percentages:
350 = 33.33%
X = 100%
Where X is the total number of students, to find X, we can take the quotient between these two equations:
X/350 = 100%/33.33%
X = 350/0.333... = 1,050
So there are 1,050 students on that school.
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Jump to level 1 What are the values for y when x is 3, 4, and 5? y = 4x +9 X 3 Ex: 90 4 Ex: 99 5 Ex: 99 C
The values of y when x is 3, 4, and 5 are 21, 25, and 29, respectively.
To find the values of y when x is 3, 4, and 5 using the equation y = 4x + 9, we substitute the respective values of x into the equation and solve for y.
For x = 3:
y = 4(3) + 9
y = 12 + 9
y = 21
For x = 4:
y = 4(4) + 9
y = 16 + 9
y = 25
For x = 5:
y = 4(5) + 9
y = 20 + 9
y = 29
So, the values of y when x is 3, 4, and 5 are 21, 25, and 29, respectively.
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What are the answers to the last two questions?
Answer:
\((-1)(x+3)(x-2)\)
Step-by-step explanation:
Factoring
We are given a trinomial:
\(-x^2-x+6\)
The following steps are done to factor the trinomial.
1. Confirm there are no common factors: No common factors (given)
2. Factor out -1:
Multiply all the terms by -1 and take -1 out:
\(\boxed{(-1)(x^2+x-6)}\)
3. Factor
\(x^2+x-6 = (x+p)(x+q)\)
We have to find two numbers p and q whose product is -6 and the sum is 1. Those numbers are 3 and -2 (in any order):
Factoring:
\(x^2+x-6 = (x+3)(x-2)\)
The final factoring is:
\(\boxed{(-1)(x+3)(x-2)}\)
draw a model to represent 2 1/4 and write it as an improrer frrcation
The improper fraction equivalent of the fraction 2 1/4 is 9/4.
Improper fraction:
Basically, the improper fraction is also the fraction where the numerator is greater than or equal to the denominator.
Given,
Here we have the mixed fraction 2 1/4.
And we have to convert this mixed fraction into improper fraction.
The conversion from mixed fraction to an improper fraction will follow the following formula,
numerator = (denominator × whole number) + numerator of mixed fraction
Based on the this rule, the numerator of the improper fraction is,
=> numerator = (4 x 2) + 1
=> numerator = 8 + 1
=> numerator = 9
The denominator will remain same.
Therefore, the resulting improper fraction is 9/4.
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Trigonometry please please please please help
Answer:
104
Step-by-step explanation:
you have to add both numbers up
find the domain of the following inequalities and solve them
WHHHEEEEEZZZZZZZZZZ
I HAVE AESTHEMA
Kim and Larry focus on analyzing and forecasting mobile home shipments (sales) instead of vacancy rate although the latter is more appropriate?
Which of the following is a plausible (or valid) explanation regrading the above decision by Kim and Larry?
a.) They may not have kept a complete record of their vacancy rate for the last several years. As such, a proxy may be used in its place.
b.) They may think that forecasting mobile home shipments is easier than forecasting vacancy rate.
c.) They may think that mobile home shipments are perfectly correlated with vacancy rate.
d.) They may think that obtaining data on mobile home shipments is easier as it is readily available online.
The most plausible (or valid) explanation regarding Kim and Larry's decision to focus on analyzing and forecasting mobile home shipments instead of vacancy rate would be option d:
They may think that obtaining data on mobile home shipments is easier as it is readily available online.
This explanation suggests that Kim and Larry chose to focus on mobile home shipments because they believe that obtaining data related to mobile home shipments is more accessible and readily available online. It implies that they may have faced difficulties in obtaining comprehensive or reliable data regarding the vacancy rate, which influenced their decision to shift their focus to a different variable for analysis and forecasting.
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if a rivet passes through two sheets of metal, each 1/16 of an inch thick, and has a shank of 1/4 inch, what length should the rivet be?
The length of the rivet should be 3/8 inch to pass through the two sheets of metal.
To solve this problemWe must take into account the shank length as well as the thickness of the two metal sheets.
Assumed:
Each sheet of metal has a thickness of 1/16 inch14 inch for the shank lengthThe thickness of the two metal sheets and the shank length must be added to determine the overall length of the rivet:
Total length = 2 * (Thickness of sheet metal) + Shank length
Substituting the values:
Total length = 2 * (1/16 inch) + 1/4 inch
Calculating the values:
Total length = 1/8 inch + 1/4 inch
Total length = 1/8 inch + 2/8 inch
Total length = 3/8 inch
So, the length of the rivet should be 3/8 inch to pass through the two sheets of metal.
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Find the MAD:
98, 140, 220, 150
Answer:
I'm not too sure but I think It's 34
Step-by-step explanation:
Rusty in that particular area of math
The data below shows the scores of some students on a test: 21, 27, 29, 20, 22, 33, 23 Which box plot represents the data? A box and whisker plot is drawn using a number line from 20 to 35 with primary markings and labels at 20, 25, 30, 35. In between two primary markings are 4 secondary markings. The box extends from 21 to 25 on the number line. There is a vertical line in the box at 23. The whiskers end at 20 and 29. Above the line is written Student Scores. A box and whisker plot is drawn using a number line from 20 to 35 with primary markings and labels at 20, 25, 30, 35. In between two primary markings are 4 secondary markings. The box extends from 21 to 29 on the number line. There is a vertical line in the box at 25. The whiskers end at 20 and 33. Above the line is written Student Scores. A box and whisker plot is drawn using a number line from 20 to 35 with primary markings and labels at 20, 25, 30, 35. In between two primary markings are 4 secondary markings. The box extends from 21 to 29 on the number line. There is a vertical line in the box at 23. The whiskers end at 20 and 35. Above the line is written Student Scores. A box and whisker plot is drawn using a number line from 20 to 35 with primary markings and labels at 20, 25, 30, 35. In between two primary markings are 4 secondary markings. The box extends from 21 to 29 on the number line. There is a vertical line in the box at 23. The whiskers end at 20 and 33. Above the line is written Student Scores. Question 11(Multiple Choice Worth 5 points)
The box plot that represents the data is a box and whisker plot is drawn using a number line from 20 to 35 with primary markings and labels at 20, 25, 30, 35. In between two primary markings are 4 secondary markings. The box extends from 21 to 29 on the number line. There is a vertical line in the box at 23. The whiskers end at 20 and 33. Above the line is written Student Scores.
What is the correct box plot?A box plot is used to study the distribution and level of a set of scores. The box plot consists of two lines and a box. The two lines are known as whiskers. The whiskers represent the minimum and maximum scores. The minimum score in this question is 20 and the maximum score is 33.
On the box, the first line to the left represents the lower (first) quartile. The next line on the box represents the median. The third line on the box represents the upper (third) quartile.
The lower (first) quartile = 1/4 x (n + 1)
1/4 x 8 = 2nd term = 22
Third quartile = 3/4 x (n + 1)
3/4 x 8 = 6th term = 29
Median = 23
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Choose the graph that has a slope of 1/3 and a y-intercept of 1.
Answer:
d
Step-by-step explanation:
The slope is positive which makes the graph increase
Answer:
Step-by-step explanation:
(c). The slope is \(-\frac{1}{3}\) and y-intercept is 1
(d). The slope is 2 and y-intercept is 1
-- I assume, that the answer on given task ( Choose the graph that has a slope of 1/3 and a y-intercept of 1. ) is (a) or (b) --
Barton wants to know how much his packed suitcase weighs before he leaves to catch a flight. The airline will charge an extra fee if his suitcase weighs more than 50 pounds. Which method should Barton use to get the most accurate and appropriate measurement?
Barton should use a luggage scale to get the most accurate and appropriate measurement of his packed suitcase before he leaves to catch a flight. A luggage scale is a compact and portable device that is designed specifically to weigh luggage. Using a luggage scale is easy and convenient as it allows travelers to weigh their bags accurately, ensuring that they are within the airline's weight limit. To use a luggage scale, Barton should follow these simple steps:
Step 1: Attach the luggage strap Barton should attach the luggage strap to the handle of his suitcase.The strap should be attached in such a way that it can support the weight of the suitcase without slipping or coming off.
Step 2: Turn on the luggage scale Barton should turn on the luggage scale and wait for it to calibrate. This usually takes a few seconds. Once the scale is calibrated, it will display a zero reading.
Step 3: Lift the suitcase Barton should lift the suitcase by the luggage strap until it is off the ground. The luggage scale will display the weight of the suitcase on its digital display. This reading is the weight of the suitcase including all the contents inside.
Step 4: Check the weight If the weight of the suitcase is less than 50 pounds, Barton can go ahead and catch his flight without worrying about any extra charges. If the weight of the suitcase is more than 50 pounds, Barton will have to remove some items from the suitcase or pay the extra fee charged by the airline.
Therefore, using a luggage scale is the most accurate and appropriate method for travelers like Barton to measure their suitcase weight before boarding their flight.
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Answer:
use a standard digital bathroom scale.
Step-by-step explanation:
a measure of variability of the sample means xbar in repeated samples of n observations randomly selected from a given population is
The correct answer is B i.e. Standard Error of the Mean (SE) = σ / √(n)
The measure of the variability of the sample means, also known as the standard error of the mean, can be calculated using the formula:
Standard Error of the Mean (SE) = σ / √(n)
sigma is the population standard deviation,
n is the sample size.
The standard error of the mean represents the variability or dispersion of the sample means obtained from repeated samples of size n from a population. It indicates how much the sample means are likely to differ from the true population mean.
The smaller the standard error of the mean, the less variability is expected among the sample means, indicating a more precise estimate of the population mean.
Therefore, the correct answer is B i.e. Standard Error of the Mean (SE) = σ / √(n)
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Given question is incomplete, the complete question is below
A measure of variability of the sample means xbar in repeated samples of n observations randomly selected from a given population is
a. s
b. σ/√(n)
c. s/√(n)
d. σ
Can someone help answer this for me? this does not make any sort of sense to me
Solution:
Note that:
Triangle ABC ≅ Triangle FGHAC = 30 unitsCB = 10 unitsBA = 35 unitsFH = 18 unitsHG = 6 unitsLooking at both the triangles, we can say that:
FH = 3AC/5 = 3(30)/5 = 90/5 = 18 unitsHG = 3BC/5 = 3(10)/5 = 30/5 = 6 unitsWe can do the same with AB and FG.
FG = 3AB/5 = 3(35)/5 = 3(7) = 21 unitsIf x/y + y/x = -1 , find the value of x^3 - y^3
Answer:
0
Step-by-step explanation:
Multiplying the first equation by xy, we have ...
x^2 +y^2 = -xy
Factoring the expression of interest, we have ...
x^3 -y^3 = (x -y)(x^2 +xy +y^2)
Substituting for xy using the first expression we found, this is ...
x^3 -y^3 = (x -y)(x^2 -(x^2 +y^2) +y^2) = (x -y)(0) = 0
The value of x^3 -y^3 is 0.
12 = 3(m - 17)
Help please. You have to use distributive property to solve.
Answer:
m = 21
Step-by-step explanation:
12 = 3(m - 17)
12 = 3m - 51 (Found using the distributive property)
63 = 3m (Found by adding 51 to both sides)
21 = m (Found by dividing both sides by 3)
Hope this helps :)
Your friends and you notice a classmate who always has brand new clothes, shoes, and electronics. What would you need to know in order to tell if this classmate’s family is actually wealthy?
To know if the classmate’s family is actually wealthy, one will need to know their assets and their debt.
What is an asset?In financial accounting, an asset means a resource that is owned or controlled by a business or an economic entity. An asset is anything that can be used to produce positive economic value.
Assets represent the value of ownership that can be converted into cash and the examples of personal financial assets include cash and bank accounts, real estate, personal property like furniture and vehicles, and investments such as stocks, mutual funds, and retirement plans.
In this case, through the assets, one will be able to know that they're wealthy. The debt is an obligation that requires one party, the debtor, to pay money or other agreed-upon value to another party, the creditor. This is the money that they owe.
The asset should more than the debt.
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A firm charges $1.75 for each pound of strawberries packed into dollars for a basket to hold the strawberries. Write an expression to represent the total cost in dollars to pick p pounds of strawberries
Answer:
t (total cost)= 1.75P or 1.75×p
To represent the total cost in dollars to pick 'p' pounds of strawberries, we can use the following expression Total cost = $1.75 * p
In this expression, 'p' represents the number of pounds of strawberries to be packed, and $1.75 represents the cost charged by the firm for each pound of strawberries.
To calculate the total cost, we multiply the cost per pound ($1.75) by the number of pounds ('p') to get the overall cost in dollars.
For example, if you want to pack 5 pounds of strawberries, you can substitute 'p' with 5 in the expression:
Total cost = $1.75 * 5
Total cost = $8.75
So, the total cost to pick 5 pounds of strawberries would be $8.75.
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A spherical balloon is being inflated at a rate of 10 cubic centimeters per second dr A. Find an expression for , the rate at which the radius of the balloon is increasing. dt (3 points) B. How fast is the radius of the balloon increasing when the diameter is 40 cm? (2 points) C. How fast is the surface area of the balloon increasing when the radius is 5 cm?
The surface area of the balloon is increasing at a rate of 5 square centimeters per second when the radius is 5 cm.
A) We know that the volume of a sphere is given by:
V = (4/3)πr^3
Taking the derivative of both sides with respect to time, we get:
dV/dt = 4πr^2 (dr/dt)
where dV/dt is the rate of change of volume (which is 10 cubic centimeters per second in this case), dr/dt is the rate of change of radius, and 4πr^2 is the surface area of the sphere.
Rearranging the equation, we get:
dr/dt = (1 / (4πr^2)) dV/dt
Substituting dV/dt = 10 cubic centimeters per second, we get:
dr/dt = (1 / (4πr^2)) (10) = (5 / (2πr^2)) cubic centimeters per second
Therefore, the expression for the rate at which the radius of the balloon is increasing is dr/dt = (5 / (2πr^2)) cubic centimeters per second.
B) When the diameter is 40 cm, the radius is 20 cm. We can use the expression we derived in part (A) to find the rate at which the radius is increasing:
dr/dt = (5 / (2πr^2)) cubic centimeters per second
Substituting r = 20 cm, we get:
dr/dt = (5 / (2π(20^2))) cubic centimeters per second
dr/dt ≈ 0.00198 cm/s (rounded to 5 decimal places)
Therefore, the radius of the balloon is increasing at a rate of approximately 0.00198 cm/s when the diameter is 40 cm.
C) When the radius is 5 cm, the surface area of the sphere is given by:
A = 4πr^2
Taking the derivative of both sides with respect to time, we get:
dA/dt = 8πr (dr/dt)
We can use the expression we derived in part (A) to find the rate at which the radius is increasing:
dr/dt = (5 / (2πr^2)) cubic centimeters per second
Substituting r = 5 cm and dr/dt = (5 / (2πr^2)) cubic centimeters per second, we get:
dA/dt = 8π(5) ((5 / (2π(5^2))))
dA/dt = 5 cubic centimeters per second
Therefore, the surface area of the balloon is increasing at a rate of 5 square centimeters per second when the radius is 5 cm.
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Prove that a triangle with sides x cm, 2x cm and root5x cm form a Right-angled triangle.
Step-by-step explanation:
x+2x+3x=180
6X=180
x=180/6
x=30
again
2 x=2×30
=60
3×=3×30
=90
Find the distance between the points C(0, 0) and D(8, 3).
8.3
011
√73
√55
Answer: Number 3, which is √73
Step-by-step explanation:
Use the distance formula:
Distance (d)
= √(8 - 0)2 + (3 - 0)2
= √(8)2 + (3)2
= √73
= Number 3 :>
PLEASE HELP! IM BEING TIMED
Did you ____________________ that citations are required in a scientific paper so that ideas can be tracked back to their original source?
Select one: a. intern b. critical c. realize d. resize
Answer:b
Step-by-step explanation:HURRY DONT BE LATEEE
If you can please give brainliest
What value of x will make the triangles similar by the
SSS similarity theorem?
Answer:
28
Step-by-step explanation:
Answer:28
Step-by-step explanation:
does anyone else do i-ready? my little sister thinks we are the only school that does it. She's in pinecrest academy.
i think other students do it too, just saying
Answer:
When I was in my school I use to before the virus we use to do I-Ready all the time so I can promise y'all ain't the only ones
What is the distance between points M and N?
By using triangle properties and the law of the cosine twice, we find that the distance between points M and N is approximately 9.8 meters.
How to determine the distance between two points
In this problem we must determine the distance between two points that are part of a triangle and we can take advantage of properties of triangles to find it. First, we determine the measure of angle L by the law of the cosine:
\(\cos L = \frac{(19.6\,m)^{2}-(14.8\,m)^{2}-(21.4\,m)^{2}}{-2\cdot (14.8\,m)\cdot (21.4\,m)}\)
L ≈ 62.464°
Then, we get the distance between points M and N by the law of the cosine once again:
\(MN = \sqrt{(7.4\,m)^{2}+(10.7\,m)^{2}-2\cdot (7.4\,m)\cdot (10.7\,m)\cdot \cos 62.464^{\circ}}\)
MN ≈ 9.8 m
By using triangle properties and the law of the cosine twice, we find that the distance between points M and N is approximately 9.8 meters.
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NEED HELP ASAP PLEASE WILL GIVE BRAINLY IF CORRECT
Answer: 2x-9y=1
Step-by-step explanation:
(this is how i found it don't know if this is how you learned it though)
Subtract 20 from both sides of -3x-8y=20, so that it becomes -3x-8y-20
Subtract 19 from both sides of -5x+y=19, so you get -5x+y-19
Subtract like terms from both equations (-3x-8y-20)-(-5x+y-19), which gives you 2x-9y-1
-3--5=2, -8-1=-9, -20--19=-1
Add 1 to both sides and you get 2x-9y=1
Olivia and her children went into a movie theater and will buy drinks and candies. She must buy no less than 12 drinks and candies altogether. Write an inequality that would represent the possible values for the number of drinks purchased, d, and the number of candies purchased, c.
This inequality means that the sum of "d" and "c" must be greater than or equal to 12.
What is algebraic expression ?
Algebraic expression can be defined as combination of variables and constants.
Let's represent the number of drinks Olivia buys as "d", and the number of candies as "c".
We know that Olivia must buy no less than 12 drinks and candies altogether. This means that the total number of drinks and candies purchased, d + c, must be greater than or equal to 12.
So the inequality that represents the possible values for the number of drinks purchased and the number of candies purchased is:
d + c ≥ 12
This inequality means that the sum of "d" and "c" must be greater than or equal to 12. For example, Olivia could buy 8 drinks and 4 candies, or 6 drinks and 6 candies, or 10 drinks and 2 candies, and so on, as long as the total number of drinks and candies is 12 or more.
Therefore, This inequality means that the sum of "d" and "c" must be greater than or equal to 12.
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Mode of 67,76,67,76,67,23,32,23,32
Answer:
67
Step-by-step explanation: