Using the range concept, it is found that a reasonable value of the range of their life-span is given by:
C.) 75What is the range?The range is the difference between the greatest and the smallest value in a data-set.In this problem, considering that the world average lifespan is of approximately 73 years, a range of 75 years should be taken, hence option C is correct.
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Answer:
The answer is C.) 75
Besides being simple for its own sake, what other advantage do simple models usually have?
a) Higher accuracy
b) Greater complexity
c) Easier interpretation
d) More detailed predictions
The correct option is c) Easier interpretation. One of the main advantages of simple models is their ease of interpretation. Simple models tend to have fewer parameters and less complex mathematical equations, making it easier to understand and interpret how the model is making predictions.
This interpretability can be valuable in various domains, such as medicine, finance, or legal systems, where it is important to have transparent and understandable decision-making processes.
Complex models, on the other hand, often involve intricate relationships and numerous parameters, which can make it challenging to comprehend the underlying reasoning behind their predictions. While complex models can sometimes offer higher accuracy or make more detailed predictions, they often sacrifice interpretability in the process.
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Help find the value of x
Answer:
x = 82
Step-by-step explanation:
The bottom angle is the same as the angle next to x + 6
A straight angle is 180 degrees.
You add the given angles: (x + 6) + (x + 10) = 2x + 16
180 = 2x + 16
- 16 -16
164 = 2x
x = 82
Across all T-accounts, the sum of debits must ALWAYS equal the sum of credits.
A. False
B. Neither true nor false
C. True
D. Both true and false
C: True. The accounting equation, which is the foundation of all accounting principles, is based on the concept that for every debit entry, there must be an equal credit entry. This principle is reflected in T-accounts, which are used to track the financial transactions of a business.
T-accounts are a visual representation of the accounting equation, where debits are recorded on the left side of the T-account and credits are recorded on the right side. The sum of the debits and credits for each account is calculated and displayed at the bottom of the T-account.
If the sum of debits is not equal to the sum of credits, it indicates that an error has occurred in the recording of financial transactions. This is known as an unbalanced entry, and it must be corrected before the financial statements can be prepared accurately.
Therefore, it is always true that across all T-accounts, the sum of debits must equal the sum of credits. This principle ensures that the accounting records are accurate and reliable, providing stakeholders with a clear and complete picture of a company's financial position.
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what is the radius of a circle inscribed in a 9-12-15 triangle?
The radius of the circle inscribed in a 9-12-15 triangle is 3 units
The radius of a circle inscribed in a 9-12-15 triangle can be found using the formula for the inradius (r) of a triangle:
r = A/s
where A is the area of the triangle, and s is the semi-perimeter of the triangle.
Step 1: Find the semi-perimeter (s)
s = (a + b + c) / 2
s = (9 + 12 + 15) / 2
s = 36 / 2
s = 18
Step 2: Find the area (A) of the triangle using Heron's formula:
A = √(s(s-a)(s-b)(s-c))
A = √(18(18-9)(18-12)(18-15))
A = √(18(9)(6)(3))
A = √(2916)
A = 54
Step 3: Find the inradius (r) using the formula r = A/s:
r = 54 / 18
r = 3
Therefore, the radius of the circle inscribed in a 9-12-15 triangle is 3.
TIP: A circle inscribed in a triangle is a circle that touches all three sides of the triangle exactly once, and it is positioned entirely within the triangle.
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Any help on solving this?
Answer:
a is a straight line so no
b yes goes down
c undified so no
d goes up
B
Hope This Helps!!!
Answer:
Answer:
b
Step-by-step explanation:
\=negative
/=postive
---=undefined
|=zero
Step-by-step explanation:
for solve |2x-2|=6 for x
X=
Answer:
x = 6 , − 6
Step-by-step explanation:
Answer:
x = 4x = -2Step-by-step explanation:
Solving for x
|2x-2|=61. 2x - 2 ≥ 0 ⇒ 2x ≥ 2 ⇒ x ≥ 1
2x - 2 = 62x = 8x = 42. 2x - 2 < 0 ⇒ 2x < 2 ⇒ x < 1
2x - 2 = -62x = -4x = -2What is 5 4/9 - 2 5/9
Answer:
2 8/9
Step-by-step explanation:
B3cause when you subtract 5 4/9 and 2/59 you get 2 /89
i dont kown
pllease help
Answer:
Step-by-step explanation:
Half a turn is 180
so 180-33 is your
Which of the following values are solutions to the inequality 4+2x\le 4?4+2x≤4?
\text{I.}\hspace{2px}0\hspace{20px}\text{II.}\hspace{2px}-4\hspace{20px}\text{III.}\hspace{2px}-3
I.0II.−4III.−3
The question is on the fill
Answer:
Your mom is annoying
Step-by-step explanation:
She keeps calling me even though its over.
If the domain of the function y =2x + a
is the set of all real numbers except x = 5, find the value of a.
Answer:
a=-10
Step-by-step explanation:
y=2x+a ,at x=5
y=2(5)+a
y=10+a
where y=0
10+a=0
a= -10
Create a scatterplot from the following data: Hours Studying Overall Class Performance 0.62 2.02 1.50 4.62 0.34 2.60 0.97 1.59 3.54 4.67 0.69 2.52 1.53 2.28 0.32 1.68 1.94 2.50 1.25 4.04 1.42 2.63 3.07 3.53 3.99 3.90 1.73 2.75 1.29 2.95
The scatterplot for the given datapoints are attached .
A scatter plot uses dots to speak to values for two different numeric factors. The position of each dot on the level and vertical axis shows values for an individual information point. Scatter plots are utilized to watch connections between variables, Scatter plots’ essential uses are to observe and show connections between two numeric variables. The dots in a scatter plot do not as it were report the values of personal information points, but moreover designs when the information is taken as a whole.
Hours Studying Overall Class Performance
0.62 2.02
1.50 4.62
0.34 2.60
0.97 1.59
3.54 4.67
0.69 2.52
1.53 2.28
0.32 1.68
1.94 2.50
1.25 4.04
1.42 2.63
3.07 3.53
3.99 3.90
1.73 2.75
1.29 2.95
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Is the answer to this 4?
Answer:
Yes, but make sure to check with another person to double check.
Good job ;)
Step-by-step explanation:
(None)
Calculate the following value and how your work. Give exact anwer, uing the implet radical form i neceary. GL =
m∠KLH =
KH =
GL is equal to √25 + L2, or √5 in its simplest radical form. The Pythagorean Theorem states that the sum of the squares of the two adjacent sides of a right triangle is equal to the square of the hypotenuse.
Given:
GL = ?
m∠KLH = 90°
KH = 5
We can use the Pythagorean Theorem to solve for GL.
GL2 = K2 + L2
GL2 = 52 + L2
GL2 = 25 + L2
Therefore, GL = √25 + L2 = √5.
Given GL, m∠KLH, and KH, we can use the Pythagorean Theorem to solve for GL. The Pythagorean Theorem states that the sum of the squares of the two adjacent sides of a right triangle is equal to the square of the hypotenuse. Therefore, we can calculate the square of GL by taking the square of KH and adding it to the square of L, which is unknown. We square 5 and get 25, then we add L2 to get 25 + L2. We can then take the square root of this to get GL. Therefore, GL is equal to √25 + L2, or √5 in its simplest radical form.
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If mr. kirov continues to make monthly payments of $100 and does not make any new purchases, how many more payments will he need to make before the balance is 0? 4 payments 5 payments 6 payments 7 payments
The number of more payments which Mr. Kirov will have to make before the balance becomes 0 is equal to 5 payments.
To calculate the balance, the use of Present Value of an Ordinary Annuity Formula is used. The formula is given as follows:
Present Value =\(P*(\frac{1- [1/(1+r)^n]}{r})\) …. (1)
In the given formula,
PV = Present value or the first balance = $800
P = Monthly payment = $100
r = Monthly interest rate = 0.012
n = number of months (It is equal to total number of payments made until balance turns zero)
Putting the values of above variables into equation (1) and solving for n, we get:
800 = 100*((1 - (1 / (1 + 0.012))^n) / 0.012)
800/100 = (1 - (1 / 1.012)^n) / 0.012
8*0.012 = 1 - (0.9881)^n
0.096 = 1 - (0.9881)^n
⇒ (0.9881)^n = 1 – 0.096
⇒ (0.9881)^n = 0.904
Taking the log of both sides, we have:
n*log(0.9881) = log0.904
n = log0.904 / log0.9881
n = -0.0438315 / -0.005180
n = 8.4608 ≅ 8
Since three payments were already made by Mr. Kirov as per the data in the question, therefore the number of more payments which he will have to make before the balance becomes 0 is calculated as:
Number of extra payments = n – 3 = 8 – 3 = 5 payments
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Refer to complete question below:
The table shows a schedule of Mr. Kirov's plan for paying off his credit card balance.
Mr. Kirov's Payment Plan
Balance 1 = $800.00
Payment 1 = $100
New Balance 1 = $700.00
Rate 1 = 0.012
Interest 1 = $8.40
Balance 2 = $708.40
Payment 2 =$100
New Balance 2 = $608.40
Rate 2 = 0.012
Interest 2 = $7.30
Balance 3 = $615.70
Payment 3 = $100
New Balance 3 = $515.70
Rate 3 = 0.012
Interest 3 = $6.19
If Mr. Kirov continues to make monthly payments of $100 and does not make any new purchases, how many more payments will he need to make before the balance is 0?
jacob has a rectangular prism made of gold and a rectangular prism made of lead. each rectangular prism has a height of 8 cm, length of 9 cm, and width of 3 cm. the density of gold is approximately 19.3 grams over cm cubed . the density of lead is approximately 11.3 grams over cm cubed. what is the difference, to the nearest gram, of the masses of the rectangular prisms? difference in masses
For two rectangular prisms, the difference of masses of golden rectangular prism with density 19.3 g/cm³ and lead rectangular prism with density 11.3 g/cm³ is equals to the 1728 grams.
There is jacob made two rectangular prisms one from gold and other lead.
Height of each rectangular prism h = 8 cm
length of each rectangular prism, l = 9 cm
width of each rectangular prism, w = 3 cm
The density of golden rectangular prism = 19.3 g/cm³
The density of lead rectangular prism
= 11.3 g/cm³
We have to determine the difference of masses of the rectangular prisms. Using the formula of volume, volume of golden rectangular prism, \(V = l × w × h \)
= 8 × 9 × 3 cm³ = 216 cm³
Similarly, volume of lead rectangular prism = 216 cm³
From density formula, \(d = \frac{ mass}{ volume }\)
=> Mass = density × volume
So, Mass of golden rectangular prism
= 19.3 g/cm³ × 216 cm³
= 216× 19.3 g = 4,168.8 grams
Similarly, Mass of lead rectangular prism = 11.3 g/cm³ × 216 cm³
= 216× 11.3
= 2,440.8 g
The difference between masses of rectangular prism= 4168.8 - 2440.8 = 1728 grams. Hence, required value is 1728 grams.
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the price of a basketball is 24.00$ plus 8% sales tax what is the tax on this basketball in dollars and cents
Answer: The sales tax is $1.92
Step-by-step explanation: Multiplying 24 with 0.08 (percentages that are single digits are 0.0_) will get you $1.92
The total price will be $25.92 (24 + 1.92 = 25.92)
what is the smallest number of integer kilogram weights needed to weigh every whole kilogram between 1kg and 40kg?
9514 1404 393
Answer:
4
Step-by-step explanation:
We assume you are using a balance, and that weights can be put in either pan. In that case, weight values can be either added or subtracted, so there are 3 possibilities for the contribution each weight makes. In other words, we need to find how many digits are required to count to 40 in base 3.
The largest 3-digit number in base 3 is ...
3^2 +3^1 + 3^0 = 13 (base 10)
The largest 4-digit number adds 3^3 = 27 to this: 27 +13 = 40.
Hence, we can weigh values 0 to 40 using 4 weights, of sizes 1, 3, 9, 27.
__
Some example weights are ...
5 = 9 - 3 - 1
38 = 27 + 9 + 3 - 1
where the "negative" weights are placed in the same pan as the unknown.
Consider the following inequality.x + 3 > 6Step 1 of 2: Write the solution using interval notation.
Recall that the inequality x>b in interval notation is:
\((b,\infty).\)Subtracting 3 to the given inequality we get:
\(\begin{gathered} x+3-3>6-3, \\ x>3. \end{gathered}\)Which in interval notation is:
\((3,\infty)\text{.}\)Answer:
\((3,\infty).\)in a survey, 16 people were asked how much they spent on their child's last birthday gift. the results were roughly bell-shaped with a mean of $32 and standard deviation of $7. find the margin of error at a 95% confidence level.
The margin of error is (31.15, 32.85).
The margin of Error is a statistical expression that is used to determine the percentage point by which the result arrived will differ from the value of the entire population, and it is calculated by dividing the standard deviation of the population by the sample size and lastly multiplying the resultant with the critical factor. A higher error indicates a high chance that the result of the sample reported may not be the true reflection of the whole population. The formula for the margin of error is calculated by multiplying a critical factor (for a certain confidence level) with the population standard deviation. Then the result is divided by the square root of the number of observations in the sample.
Mathematically, it is represented as,
Margin of Error = Z * ơ / √n
Given:
Number of people = n = 16
Mean = μ = $32
Standard deviation = σ = $7
Confidence level = 95%
Thus, the z value would be 1.96.
The confidence interval can be calculated as follows:
Confidence interval = μ ± z(σ/√n)
= 32 ± 1.96 × (7/16)
= 32 ± 0.85
= (31.15, 32.85)
Thus, the margin of error is (31.15, 32.85).
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.Find the area of the figure
Answer:
Area of the figure = 171 in²
Step-by-step explanation:
Composite figure given in the picture comprises of three figures, two right triangles and one rectangle.
Area of the composite figure = Area of two right triangles + Area of the rectangle at the center
Area of one right triangle = \(\frac{1}{2}(\text{Base})(\text{Height})\)
= \(\frac{1}{2}(12)(9)\)
= 54 in²
Area of the rectangle = Length × Width
= 7 × 9
= 63 in²
Area of the composite figure = 2(54) + 63
= 108 + 63
= 171 in²
A radio station runs a promotion at an auto show with a money box with 13 $50 tickets, 11$25 tickets, and 11$5 tickets. The box contains an additional 20 "dummy" tickets with no value. Three tickets are randomly drawn. Find the probability that exactly two $50 prizes and no other money winners are chosen
The probability of choosing exactly two $50 tickets and no other money winners is:
34,320 / 21,455 ≈ 0.
we can use the hypergeometric probability distribution to solve this problem, since we are drawing without replacement from a finite population of tickets with different values.
the total number of tickets in the box is:
13 + 11 + 11 + 20 = 55
the number of ways to choose exactly two $50 tickets from the 13 available is:
${13 \choose 2} = 78$
the number of ways to choose one dummy ticket from the 20 available is:
${20 \choose 1} = 20$
the number of ways to choose one ticket from the remaining non-$50 tickets is:
11 + 11 = 22
, the total number of ways to choose exactly two $50 tickets and no other money winners is:
78 x 20 x 22 = 34,320
the number of ways to choose any three tickets from the 55 available is:
${55 \choose 3} = 21,455$ 60 or about 60%
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The roots of the equation f(x) = 0 are 1 and -2. The roots of f(2x) = 0) are - - (A) 1 and -2 (B) and - 1 (C) and 1 2 2 (D) 2 and -4 (E) -2 and 4
Answer: B
Step-by-step explanation:
When f(x) turns into f(2x), we need to halve the value of x.
The roots of f(2x) will be equal to ( 1 / 2 ) and -1.
What is a quadratic equation?It is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.
Given that the root of function f(x) are 1 and -2. The roots of F(2x) will be calculated as:-
( x - 1 ) ( x + 2 ) =0
( 2x - 1 )( 2x + 2 ) =0
x = 1 / 2
x = -1
Therefore, the roots of f(2x) will be equal to ( 1 / 2 ) and -1.
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I need some help please?
Answer:
C choice.
Step-by-step explanation:
Since line a is given a slope as -4.
Another line which is line b is given that it's perpendicular to line a or we can say that line a is perpendicular to line b.
Perpendicular is defined as:
\( \displaystyle \large{m_1m_2 = - 1}\)
Both slopes multiply and yield -1.
We know that m1 is -4; we want to find m2 which is slope of line b.
\( \displaystyle \large{ - 4m_2 = - 1}\)
Divide both sides by -4.
\( \displaystyle \large{ \frac{ - 4m_2}{ - 4} = \frac{ - 1}{ - 4} } \\ \displaystyle \large{ m _2 = \frac{1}{4} }\)
Therefore, the slope for line b is 1/4.
Thus, the C choice is correct.
What is there effect on the volume of a cylinder when the radius is doubled and the height is unchanged?
Answer
Explanation:
Volume of a cylinder is expressed as;
\(\text{V = }\pi r^2h\)If the radius is doubled and the height is unchanged, then;
r2 = 2r
h2 = h
Get the volume of the new cylinder
\(undefined\)These 3 questions pleaseeee!
Answer:
1. m<T =72 , m<U =54
2. EF= 18 in. , m<F=134'
3. x=4
Step-by-step explanation:
1. <s=<u , there is 180' in a triangle total so 180- <S - <U = <T
180 - 54 - 54 = 72
2. ef = gf
180 - 23 - 23 = 134
3. since bottom 2 angles are = , the 2 sides are also =
see attachment for work
Kaitlin must choose a number between 55 and 101 that is a multiple of 2, 8, and 16. Write all the numbers that she could choose.
ok
I'll write some possible numbers, hold on
These numbers are divided by 2
56 58 60
62 64 66 68 70
72 74 76 78 80
82 84 86 88 90
92 94 96 98 100
Numbers divided by 8
56 64 72
80 88 96
Numbers divided by 16
64 80 96
Numbers that are multiple of the three numbers are: 64, 80, 96
There are 7 days in a week.
Let x represent the number of weeks and y represent the corresponding number of days.
Complete the table using the equation y=7x.
x y
5
6
7 49
8
Answer:
Step-by-step explanation:
The equation is y=7x
x y Calculation
5 35 y=7x, y=7*5, y=35
6 42 y=7x, y=7*6, y=42
7 49 y=7x, y=7*7, y=49
8 56 y=7x, y=7*8, y=56
Help needed ASAP. Will give Brainliest.
Answer:
The answer is C, 296. 73
Step-by-step explanation:
Top Surface Area = π×4.52
= 63.617251235193 inches2
Bottom Surface Area = π×4.52
= 63.617251235193 inches2
Lateral Surface Area = 2π×4.5×6
= 169.64600329385 inches2
Total Surface Area = 296.88050576424 inches2
There are 5 roses in a vase of 13 flowers. The rest are daisies.
a) What is the ratio of daisies to roses?
(b) What is the ratio of all flowers in the vase to daisies?
pls answer these