If n is an integer , the possible values of n in the given inequality are n > 5/2 and n < 10 .
In the question ,
it is given that ,
the inequality is 5 < 2n < 20 , where n is an integer .
we need to find the all the possible values of n that satisfy the given inequalities .
to find the possible values of n , we solve both sides of the inequality separately ,
that is ,
5 < 2n
dividing both sides in the inequality by 2, we get
5/2 < n
n > 5/2
and
2n < 20
dividing both sides in the inequality by 2 , we get
n < 20/2
n < 10
Therefore , the possible values of n are n > 5/2 and n < 10 .
The given question is incomplete , the complete question is
Write down all the possible values of n for the inequality 5<2n<20 , where n is an integer ?
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Prove algebraically that
(4n+ 1)²- (2n-1) is an even number
for all positive integer values of n.
(4n+1)^2 = 16n^2 + 8n + 1
(16n^2 + 8n + 1) - (2n - 1) = 16n^2 + 6n + 2
this means that it must always be an even number because the positive integer n is multiplied by an even number. and then it is added by 2, which will keep it even. should be right
Use the model below to estimate the average annual growth rate of a certain country’s population for 1950, 1988, and 2010, where x is the number of years after 1900.
y= -0.0000081x^3+0.00267x^2+8.231
The growth rates in 1950, 1988 and 2010 are 13.9%, 23.4 and 29.8% respectively
How to estimate the country's population?The function of the growth rate equation is given as:
y = -0.0000081x^3+0.00267x^2+8.231
Rewrite properly
So, we have
y = -0.0000081x³ + 0.00267x² + 8.231
From the question, we have
x represents the number of years after 1900
In 1950, x = 50
So, we have
Growth rate in 1950, y = -0.0000081 x 50³ + 0.00267 x 50² + 8.231
Growth rate in 1950, y = 13.9
In 1988, x = 88
So, we have
Growth rate in 1988, y = -0.0000081 x 88³ + 0.00267 x 88² + 8.231
Growth rate in 1988, y = 23.4
In 2010, x = 110
So, we have
Growth rate in 2010, y = -0.0000081 x 110³ + 0.00267 x 110² + 8.231
Growth rate in 2010, y = 29.8
Hence, the growth rate in 2010 is 29.8%
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based on information from a large insurance company, 68% of all damage liability claims are made by single people under the age of 25. a random sample of 52 claims showed that 41 were made by single people under the age of 25. does this indicate that the insurance claims of single people under the age of 25 is higher than the national percent reported by the large insurance company? give the test statistic and your conclusion.
Yes, it indicates that the number of single people under the age of 25 is higher than the national percentage reported by the large insurance company, according to the calculated z-score.
here the sample size is = 25(n), therefore sample proportion will be, p⁰= 41/25 =0.774 .since the null hypothesis is :H₀:p =0.68 and the alternative hypothesis is :H₁:p>0.68 .The z-test is :
Z=p⁰−p/ √(p(1-p)/n
= 0.774-0.68/root(0.68(1-0.68)/52
=1.453
The p-value for the z score = 1.453 is 0.0731.Here the P-value is greater than the 5% level of significance. We come up short to dismiss the null hypothesis at the 5% level of significance. it can be concluded that the number of single individuals under the age of 25 is higher than the national percentage detailed by the large insurance company.
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an unbiased coin is tossed 20 times. 6. find the probability that the coin lands heads exactly 11 times. a. 0.1602 b. 0.5731 c. 0.2941 d. 0.1527 e. 0.6374 7. find the probability that the coin lands tails at most 17 times. a. 0.0002 b. 0.8748 c. 0.7812 d. 0.0176 e. 0.9998 8. find the probability that the coin lands heads at most 3 times. a. 0.0004 b. 0.9963 c. 0.9556 d. 0.8751 e. 0.0013
Probability that the coin lands heads exactly 11 times is 0.1602 so Option a is correct.
Given:
an unbiased coin is tossed 20 times.
The probability that the coin lands heads exactly 11 times:
P = n(E)/n(S)
n(S) = 2^tosses
= 2^20
= 1048576
n(E) = C(20,11)
= 20!/11!(20-11)!
= 20!/11!*9!
= 167960
Probability P = 167960/1048576
= 0.16017 ≈ 0.1602
Therefore Probability that the coin lands heads exactly 11 times is 0.1602 so Option a is correct.
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A toy company makes bags of 134 action figures. Each bag can vary
by 2 action figures.
Write an absolute value linear inequality that represents the range of
the acceptable amount of action figures in every bag. Use x as your
variable.
Answer:
x= 134 ± 2
Step-by-step explanation:
The ± symbol is used to mark the range of values that should be expected from the first number, 134.
A parabola can be drawn given a focus of (-4,-3) and a directrix of y = 1. Write the equation of the parabola in any form?
Answer:
Step-by-step explanation:
To plot
(
−
4
,
−
3
)
, start at the origin
(
0
,
0
)
and move left
4
units and down
3
units.
(
−
4
,
−
3
)
Complete the equation of the line through 6, -6 and 8,8
slope = m = (8 - (-6)) / (8 - 6) = 7
y = mx + b
y = 2x + b
plug in (8, 8) to find b
8 = 2(8) + b
b = -8
y = 2x - 8
5.15 Find what percent one number is of another: word problems 498
After a month of successful fundraising, David and his classmates voted on whether to donate
the money they had raised to hunger relief or to environmental causes. Out of 27 votes, 27
were for hunger relief. What percentage of the votes were for hunger relief
Write your answer using a percent sign (%).
Submit
Answer:
100%
Step-by-step explanation:
If all 27 votes for hunger relief, that would be 100% or all of them.
Point x has the coordinates (4,1). You translate it using the rule (x+3, y-5). What are the coordinates of X'?
Answer: X'=
(7,-4)
Step-by-step explanation: We have the rule (x+3,y-5) so using the given coordinates (4, 1), we can find the answer by doing this => (4+3,1-5)=(7,-4)
hanna properties specializes in custom-home resales in an exclusive subdivision of phoenix, arizona. a random sample of nine custom homes currently listed for sale is provided in the following table, in size (hundreds of square feet) and price of the home (thousands of dollars):the data is shown in the following table: square feet 26 27 33 29 29 34 30 40 22 price 259 274 294 296 325 380 457 523 215 if you wanted to predict the sales price based upon square footage for homes in this subdivision, what would be the slope of the least squares regression line? a. approx 15.89 b. approx -140.00 c. approx 0.68 d. none of the above
To determine what satisfying assumptions 1-3 would mean by considering the variable under consideration.
The regression-inference Assumptions 1-3 must be satisfied if β°, β¹ and σ are constants, which ensures the x dimensions and price of every custom home to be normal, with β° + β¹ and a σ standard deviation.
The residuals should not be linear if the normal probability plot is followed.
In the diagram above, the assumptions for regression inferences appear to be unsatisfactory.
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Quiz Grade
100
98
95
92
88
85
80
75
Frequency
:=Z=Z_
||
What is the
range of
the quiz
grades?
Answer:
Step-by-step explanation:
1. Find definition of range: the difference between the highest and lowest values.
Highest value:100
Lowest Value 75
2. Caculate:
100-75=
25 is the range
Answer: 25 is range
Answer:
range is 25.
ffd
Step-by-step explanation:
.... yyyy
9. (6.NS.1) A model train is 15 3/4 inches long. Each car in this train is 2 5/8 inches in length. How many cars are in the train?
Answer:
3 cars
Step-by-step explanation:
We know this because 15 3/4 is the same as 63in and 3 5/8 is the same as 21. So we divide 63÷21=3
6/19.08 _
.
_ help plsssssssssssssssssssssssssssssssssssssssssssss
Answer:
0.3144654088
Step-by-step explanation:
6/19.08=0.3144654088
Please help (Algebra 1)
The y-intercept in the equation is 10. This is the initial height of the flower.
What is the y-intercept?
An exponential equation can be described as an equation with exponents. The exponent is usually a variable. When an exponential function is drawn on a coordinate graph, it is usually nonlinear because the slope is not constant.
The general form of exponential equation is f(x) = [tex]e^{x}[/tex]
Where:
x = the variable e = constantThe y-intercept of an exponential function is the value of y when x is zero. It is the point where the graph intersects the y-axis. The y-intercept represents the initial height of the flower.
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17. A group of 36 people attended a ball game. There were twice as many children as adults in the group. Set up a
system of equations that represents the numbers of adults and children who attended the game and solve the
system to find the number of adults and the number of children who were in the group.
Answer:
36 = 2x + y
x = y
x = 12
y = 12
Step-by-step explanation:
Answer:A=12 C=24
Step-by-step explanation:
there are 3 shares[2x and theunknown]
36=3shares so 1 share=36divided by3=12
ad=12
ch=12x2=24
12+24=36
A customer withdrew $45 from a bank account. The customer then deposited $150 into the bank account the next day. Write an equation to show the net effect of these transactions. What is the equation?
The equation to show the net effect of these transactions is x - 45 + 150.
The equation is x + 105.
What is an equation?An equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.
In this case, the customer withdrew $45 from a bank account and the customer then deposited $150 into the bank account the next day.
Let the initial amount in the account be x. The amount after the transaction will be:
= x - 45 + 150
= x + 105
The equation is x + 105.
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what is -13/10 x 6 in mixed fractions?
The fraction -(13/10) × 6 is equal to the mixed fraction -7 whole number 4 divided by 5.
How to change improper fraction to mixed fractionFrom the given fracion;
-(13/10) × 6 = -[13/(2×5)] ×2 × 3
we divide the common factor 2 for 10 and 6
-(13/10) × 6 = -(13/5) × 3
multiply the numerators
-(13/10) × 6 = (-13×3)/5
-(13/10) × 6 = -39/5
divide -39 by 5
-(13/10) × 6 = -7 whole number, 4/5 in mixed fraction
Therefore, the mixed fraction for -(13/10) × 6 is -7 4/5.
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i need help bru dis is mh last try
What is the inverse of ƒ (x) = (2x + 1)² for x ≥ −½1⁄?
The inverse of the given function is (f^-1)(x) = (1/2)×(√x - 1) for x ≥ 0.
We are given a function f(x). The function f(x) is defined as (2x + 1)². The domain of the given function f(x) is x ≥ -1/2. We need to find the inverse of the function f(x).
Let us suppose that the function f(x) is represented by the variable "y".
y = f(x)
y = (2x + 1)²
Now we will take the square root on both sides of the equation.
√y = √[(2x + 1)²]
When we cancel out the even powers, we need to take the absolute value using modulus.
√y = |2x + 1|
We already know that x ≥ -1/2, so, modulus will open with a positive sign.
√y = +(2x + 1)
√y = 2x + 1
√y - 1 = 2x
x = (1/2)×(√y - 1)
At last, we replace the variables y and x by x and (f^-1)(x).
(f^-1)(x) = (1/2)×(√x - 1) for x ≥ 0
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What are the domain and range of the function on the
graph?
The domain includes all integers, and the range is y 2
0.
The domain includes all integers, and the range is y >
0.
The domain includes all real numbers, and the range
is y ≥ 0.
The domain includes all real numbers, and the range
is y > 0.
The domain includes all real numbers, and the range is y > 0
What are domain and range?
A function's domain and range are its constituent parts. A function's range is its potential output, whereas its domain is the set of all possible input values. Range, Domain, and Function. A is the domain and B is the co-domain if a function f: A B exists that maps every element of A to an element in B. 'b', where (a,b) R, provides the representation of an element 'a' under a relation R. The set of images is the function's range. In general, a function's domain and range are denoted as follows: Range(f) = f(x): x domain(f) and domain(f) = f(x): x R
Domain: The domain is the set of all possible x-values.
Range: The range of a function is the complete set of all possible resulting values of the dependent variable y.
We can see from the graph, x values include all real numbers and range ( y values greater than 0 because the graph line does not intersect at 0.
we know that
The domain of the function of the graph is the interval (-∞,∞)
That means the domain is all real numbers.
The range of the function of the graph is the interval is (0,∞)
That means the domain is all real numbers greater than zero.
So, Option d is correct.
Therefore,
The domain includes all real numbers, and the range is y > 0.
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help me please , i dont kow what to type for this
I need this answer if anyone can help please do.
Thank you!
Answer:
u should ask a teacher
Step-by-step explanation:
they wouldn't get mad but happy asked
(100 points and brainly)
Which expression is equivalent to (6^−2 • 3^5)^−2?
three raised to the third power divided by six raised to the fourth power
negative three raised to the third power divided by six raised to the fourth power
six raised to the fourth power divided by three raised to the tenth power
negative six raised to the fourth power divided by three raised to the tenth power
Answer: 16\/729
Step-by-step explanation:
Answer:
six raised to the fourth power divided by three raised to the tenth power
Step-by-step explanation:
(6^−2 • 3^5)^−2 = 6^(-2*-2) * 3^(5*-2) = 6^4 * 3^(-10) = 6^4 / 3^10
The finding, publihed recently in the journal Cell Sytem, calculate that a 5-year-old dog would be puhing 60 in human year. What i the percent change from the old model' to the new model' etimation of a 5-year-old dog' age? Round your anwer to 2 place after the decimal
The percent change from the old model to the new model estimation of a 5-year old dog's age is 41.66% .
The traditional model involved multiplying the dog's age with seven to calculate their age in human years. for example if the age of dog is 3 years , so in human years he/she will be 3x7 = 21 years old in human years.
Here we calculate the age of 5-years old dog in human years. So we multiply the 5 with 7 and get the answer as 35 years .
As per the new convention 5-years old dos's age is nearly equal to 60 in human years.
So the difference in age in both the methods is
age difference = 60 - 35
= 25
So the percent change in age = (25/60) x 100
= 41.66 %
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Which of the following is NOT a valid arrangement of 24 flowers?
Four rows of six flowers.
Two rows of twelve flowers.
Four rows of nine flowers.
Eight rows of three flowers.
In a discount clothing store, all sweaters are sold at one fixed price and all shirts are sold at another fixed price. If one sweater and four shirts cost $55, while four sweaters and five shirts costs $110, find the price of one sweater and the price of one shirt.
Price of one shirt: $10Price of one sweater: $15Step-by-step explanation:
The price of one sweater - x
The price of one shirt - y
From what the problem states, we can assume:
x + 4y = 55
4x + 5y = 110
Multiply both sides of x +4y = 55 by four. This results in 4x + 16y = 220. We then subtract 16y on both sides, resulting in 4x = 220 - 16y. We then insert this into the other equation, which, as a reminder, is 4x + 5y = 110. We replace 4x with 220 - 16y, which results in 220 - 16y + 5y = 110. Now, we can solve it.
220 - 16y + 5y = 110220 - 11y = 110110 - 11y = 0110 = 11yy = $10Now that we have found out the value of y, we can replace all instances of y in the first equation.
x + 4y = 55x + 40 = 55x = $15
2-1+5x4x11 I need help with this
Answer:
221
Step-by-step explanation:Order of operations
Polynomial as the product of linear factors
The polynomial, f(x) expressed as a product of linear factors is; f(x) =(-5/2 + √ 5) and (-5/2 - √ 5)
What is a polynomial?They are mathematical expressions involving variables raised with non negative integers and coefficients(constants who are in multiplication with those variables) and constants with only operations of addition, subtraction, multiplication and non negative exponentiation of variables involved.
Given that ;
[tex]p(A) = 2x^3 - 3x^2 + 10x + 6[/tex]
[tex]P(a)= (2x^3 - 3x^2) + (10x + 6)[/tex]
therefore need to further factorise the quadratic expression (x² + 5x +3) using the quadratic formula;
Quadratic formula;
x = {-b ± √(b² +4ac)}/2a
where; a = 1, b = 5, c = 3.
Therefore; x = -5/2 + √ 5or x = -5/2 - √ 5
Therefore, the other factors are:
(-5/2 + √ 5) and (-5/2 - √ 5)
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Lance threw a die six times. His median score was 3.5. His first five throws were 1,5,3,5,1. What was his sixth throw?
Answer: Sixth throw is 6
Step-by-step explanation: Let sixth throw be 'x'
1+5+3+5+1+x/6=3.5
15+x=3.5*6
15+x=21
x=6
Answer:3
Step-by-step explanation: literally just subtract 2 each time its not hard
The senior classes at high school A and high school B planned separate trips to the county fail. The senior class at high school A rented and filled 7 vans and 12 busses with 640 student. High school B rented and filled 12 vans and 6 busses with 456 students. Each van and each bus carried the same number of students. Find the number of students in each van and each bus.
7v + 12b = 640
12v + 6b = 456
Multiply the bottom equation by -2 in order to cancel out 12b with 6b.
7v + 12b = 640
- 24v -12b = -912
-17v = -272
17v = 272
v = 272/17
v = 16 students
If we use this: 7v + 12b = 640 ;then:
7(16) +12b = 640
112 +12b = 640
12b = 640 -112
12b = 528
b = 528/12
b = 44 students
So the number of students in each van is 16, and number of students in each bus is 44.
[tex]\sqrt{\frac{36}{\:81}}[/tex]
Answer:
2/3
Step-by-step explanation:
Since 6 *6 = 36 , the square root of 36 is 6
In other words:
[tex]\sqrt{36} \\= 6\\[/tex]
Since 9*9 = 81, the square root of 81 is 9
[tex]\\\/\sqrt{81}\\ = 9[/tex]
Now we have the fraction [tex]\frac{6}{9}[/tex]
Now we reduce [tex]\frac{6}{9}[/tex] to lowest terms:
[tex]\frac{6}{9 } = \frac{2}{3}[/tex]
Therefore, the answer is [tex]\frac{2}{3}[/tex]
Hope this helps :)