Answer: using t - test value is 1.37<2.08( At 0.05 level of significance)
The mean of the sample was drawn from the population.
Step-by-step explanation:
Here sample size n=22
Given sample mean =530
Given population mean =500
[tex]t=\frac{sample mean-µ}{\frac{S}{\sqrt{n-1} } }[/tex]
given sample standard deviation s=100
a) null hypothesis:- The mean of the sample was drawn from the population µ =500
Alternative hypothesis:-
The most powerful test you can use is t - distribution.
The test statistic is
[tex]t=\frac{sample mean- µ}{\frac{S}{\sqrt{n-1} } }
here S is the standard deviation of the sample
b) The value of the test statistic
[tex]t=\frac{sample mean- µ}{\frac{S}{\sqrt{n-1} } }
substitute given values sample size n=22
sample mean =530
sample standard deviation s =100
mean of the population µ =500
the calculated value of t =[tex]\frac{530-500}{\frac{100}{\sqrt{22} } }[/tex]
the calculated value=1.3748
c) The degrees of freedom =n-1 = 22-1 = 21
The table value of t are 0.05 level of significance with 21 degrees of freedom is 2.08
The calculated value 1.37<2.08
∴ we accept null hypothesis at 0.05 level of significance
conclusion:-
The mean of the sample was drawn from the population.
A t-test is the most powerful test for this hypothesis. The test statistic value is calculated using t = (X - µ) / (s / √n). Based on a significance level of 0.05, we can conclude by comparing the calculated t-value with the critical t-value from t-distribution table.
Explanation:The subjects of this question are hypothesis testing and statistics.
To answer your question: a) The most powerful test to use to test your hypothesis is the t-test for single mean. This is because you have one sample mean, one hypothesized population mean, and the population standard deviation is not known.
b) The value of the test statistic can be calculated using the formula: t = (X - µ) / (s / √n), where X is the sample mean, µ is the population mean, s is the sample standard deviation, and n is the sample size. Plugging in your values, the formula becomes t = (530 - 500) / (113/ √22).
c) With a = 0.05, we conclude by comparing the calculated t-value with t-distribution table (df = 22-1 = 21). If the calculated t-value exceeds the critical t-value from the t-distribution table, we reject the null hypothesis.
Learn more about Hypothesis Testing here:https://brainly.com/question/34171008
#SPJ11
the first mechanic worked for 10 hours, and the second mechanic worked for 15 hours. together they charged a total of $1300. what was the rate charged per hour by each mechanic if the sum of the two rates was $105 per hour?
Answer:
1st mechanic charges $55 per hour
2nd mechanic charges $50 per hour
Step-by-step explanation:
Suppose rate charged per hour for first meachnic is "x"
rate charged per hour for 2nd mechanic is "y"
So,
1st mechanic 10 hrs, 2nd mechanic 15 hrs, total charge 1300, so we can write:
10x + 15y = 1300
Also, total hourly rate of both is 105, so we can write:
x + y = 105
or
x = 105 - y
We can substitute this into 1st equation and solve for y:
[tex]10x + 15y = 1300\\10(105-y) + 15y = 1300\\1050-10y+15y=1300\\5y=250\\y=50[/tex]
And x is:
x = 105 - y
x = 105 - 50
x = 55
1st mechanic charges $55 per hour
2nd mechanic charges $50 per hour
Write the equation of the parent graph y=x^2 that has shifted right 5 and up 2
Answer:
y=x^2-10x+27
Step-by-step explanation:
y=x^2
Shifted 5 to the right: y = (x-5)^2
Shifted 2 up: y = (x-5)^2+2
Simplify. You can use "(a-b)^2 = a^2-2ab+b^2" formula.
y = (x-5)^2+2 becomes y=x^2-10x+25+2 = y=x^2-10x+27
Consider U = {x|x is a positive integer greater than 1}.
Which is an empty set?
{x|x ∈ U andOne-half is prime}
{x|x ∈ U and 2x is prime}
{x|x ∈ U andOne-half can be written as a fraction}
{x|x ∈ U and 2x can be written as a fraction}
Answer:
It's B
Step-by-step explanation:
I just took the test and got it right. :D
Using the definition of an empty set, we can see that the empty set in the options is:
{x|x ∈ U and 2x is prime}
Which is an empty set?
First, we know that:
U = {x|x is a positive integer greater than 1}.
So we can write:
U = {2, 3, ...}
Now, take in mind that if:
x ∈ U
Then x is a natural number larger than 1.
Now, if we multiply a natural number different than 1 by 2, we get:
2x
because x is a natural number larger than 1, 2x can't be a prime number (because it is divisible by 2 and by x).
Then the set that is empty is:
{x|x ∈ U and 2x is prime}
Because there is no element x in U that meets the condition that 2x must be prime.
If you want to learn more about empty sets:
https://brainly.com/question/14691345
#SPJ2
Solve the right triangle ABC, with Cequals90degrees. Aequals58.3degrees, cequals24.8 ft
m∠B = 31.7° , a = 21.1 ft , b = 13.0 ft
Step-by-step explanation:
If ABC is a right triangle, where the right angle is B, then
The hypotenuse of the triangle is b and a , c are its legssin(A) = [tex]\frac{a}{b}[/tex]sin(C) = [tex]\frac{c}{b}[/tex][tex]b=\sqrt{a^{2}+c^{2}}[/tex]The sum of the measures of the two acute angles A and C is 90°∵ ABC is a right triangle
∵ m∠C = 90°
∴ c is the hypotenuse and a , b are its legs
∵ m∠A = 58.3°
- The sum of the two acute angles in the right triangle = 90°
∴ m∠A + m∠B = 90°
- Substitute the measure of angle A
∴ 58.3 + m∠B = 90
- Subtract 58.3 from both sides
∴ m∠B = 31.7°
∵ sin(A) = [tex]\frac{a}{c}[/tex]
∵ c = 24.8 feet
∴ sin(58.3) = [tex]\frac{a}{24.8}[/tex]
- By using cross multiplication
∴ a = (24.8) × sin(58.3)
∴ a = 21.1 ft
∵ sin(B) = [tex]\frac{b}{c}[/tex]
∵ c = 24.8 feet
∴ sin(31.7) = [tex]\frac{b}{24.8}[/tex]
- By using cross multiplication
∴ b = (24.8) × sin(31.7)
∴ b = 13.0 ft
m∠B = 31.7° , a = 21.1 ft , b = 13.0 ft
Learn more:
You can learn more about solving the triangle in brainly.com/question/12985572
#LearnwithBrainly
Factor the expression completely.
25x2-65x - 30
Answer:
[tex]\large\boxed{25x^2-65x-30=5(x+3)(5x-2)}[/tex]
Step-by-step explanation:
[tex]25x^2-65x-30=5(5x^2-13x-6)\\\\=5(5x^2-15x+2x-6)=5\bigg(5x(x-3)+2(x-3)\bigg)\\\\=5(x-3)(5x+2)[/tex]
7. A vending machine only accepts dimes and quarters. There are 85 coins
in the machine with a total value of $16.75. How many of each coin are in
the machine?
There are 55 quarters and 30 dimes in the machine.
Step-by-step explanation:
Total coins = 85
Total amount = $16.75 = 16.75*100 = 1675 cents
1 quarter = 25 cents
1 dime = 10 cents
According to given statement;
x+y=85 Eqn 1
25x+10y=1675 Eqn 2
Multiplying Eqn 1 by 10
[tex]10(x+y=85)\\10x+10y=850\ \ \ Eqn\ 3[/tex]
Subtracting Eqn 3 from Eqn 2
[tex](25x+10y)-(10x+10y)=1675-850\\25x+10y-10x-10y=825\\15x=825[/tex]
Dividing both sides by 15
[tex]\frac{15x}{15}=\frac{825}{15}\\x=55[/tex]
Putting in Eqn 1;
[tex]55+y=85\\y=85-55\\y=30[/tex]
There are 55 quarters and 30 dimes in the machine.
Keywords: linear equation, subtraction
Learn more about linear equations at:
brainly.com/question/12497249brainly.com/question/12613605#LearnwithBrainly
Write an equation of the line that passes through the point and has the given slope. Write the equation in slope-intercept form. (1.4), m=3
The slope is already given in the question, so we only ned to solve for the y-intercept using y = mx + b.
4 = 3(1) + b
4 = 3 + b
4 - 3 = 3 + b - 3
1 = b
Now, write the equation in slope-intercept form.
y = 3x + 1
_____
Best of Luck,
Wolfyy :)
the distance that Brad travels varies directly with the time spent traveling. Brad traveled 660 miles in 12 hours. How many miles could brad travel in 4?
Answer:
In 4 hours, Brad will travel 220 miles.
Step-by-step explanation:
Create the direct variation model-
y = kx
y- represents the total miles
x- represents hours
660 = k12
660/12 = k
k = 55
Model:
y = 55x
Replace x with 4:
y = 55(4)
y = 220
In 4 hours, Brad will travel 220 miles.
The answer is 220 miles.
[tex]\text{Hello there!}\\\\\text{We know that Brad traveled 660 miles in 12 hours. However, we need to}\\\text{find how many miles he traveled in 4 hours}\\\\\text{First, we need to find how many miles he can travel per hour}\\\\\text{Do this by dividing 660 by 12}\\\\660\div12=55\\\\\text{Now multiply 55 by 4 in order to see how many miles he traveled in 4 hours}\\\\55*4=220\\\\\boxed{\text{Answer: 220 miles}}[/tex]
Write -0.048 as a fraction In simplest form
Answer:
-6/125
Step-by-step explanation:
well first, the decimal is negative so automatically whatever fraction you write is going to be negative
the you look at the decimal:
-0.048
there is a 0 in the tenths place, a 4 in the hundredths place, and an 8 in the thousandths place
so that means, the fraction would be -48/1000
but since it isnt simplified, that what you have to do
both can be divided by 2
which will give you:
-24/500
but those can be divided by 2 again:
-12/250
these can also be divided by 2 again:
-6/125
since the 125 cannot be divided into 2 evenly again, this is the fraction in simplest form
The simplest form of -0.048 is -6/125.
Use the concept of fraction defined as:
A fraction is a part of the whole number and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called a fraction. It can be written in the form of p: q, which is equivalent to p / q.
The given decimal number is -0.048
Since there are 3 numbers after decimal,
Therefore,
In fractional the the number can be written as,
-0.048 = -48/1000
Divide both numerator and denominator by 8,
-0.048 = -6/125
Hence,
The simplest form of -0.048 is -6/125.
To learn more about the fraction visit:
https://brainly.com/question/5454147
#SPJ6
How does this get solved? I am a bit confused on what to do next. Help is very appreciated.
Answer:
The Proof is given below.
Step-by-step explanation:
Given:
AD ≅ BD ≅ FD ≅ GD
To Prove:
AC ≅ GE
Proof:
In Δ ADF and Δ GDB
AD ≅ DG ……….{Given}
∠ ADF ≅ ∠ BDG …………..{Vertically Opposite angles are equal}
FD ≅ BD ……….{Given}
Δ ADF ≅ Δ GDB ….{Side-Angle-Side test}
∴∠ FAD ≅ ∠ BGD .....{corresponding angles of Congruent Triangle ( c.p.c.t}
i.e ∠ CAD ≅ ∠ EGD.....{ F-C-A and B-E-G straight line}.......( 1 )
Now ,
In Δ CAD and Δ E GD
∠ CAD ≅ ∠ EGD ……….{From ( 1 ) above}
AD ≅ GD ……….{Given}
∠ ADC ≅ ∠ EDG …………..{Vertically Opposite angles are equal}
Δ ADF ≅ Δ GDB ….{Angle-Side-Angle test}
∴ AC ≅ GE .....{corresponding sides of Congruent Triangle ( c.p.c.t}
[tex]\overline {AC} \cong \overline{GE}\ \textrm{......Proved}[/tex]
7.90 for 40 ounces of laundry soap unit rate
Answer:
$0.20 for 1 ounce of laundry soap
Step-by-step explanation:
7.90/40=0.1975
money can't be written like that so we have to round to the nearest hundredths
= $0.20
How many 4 sided figures are in this diagram?
Answer:
?
Step-by-step explanation:
theres nothing there
You have 7 books,but only 3 will fit on the shelf.how many different arrangements of 3 books out of 7 could you make
To find the number of different arrangements of 3 books from 7, we use permutations, specifically P(7, 3) = 7! / (7-3)! = 210. Thus, there are 210 different arrangements possible.
Explanation:The student's question involves determining the number of different arrangements of 3 books that can be made from a set of 7 books. In mathematics, this is known as a permutation problem, since the order in which the books are placed matters.
To calculate permutations, we use the formula P(n, k) = n! / (n-k)!, where n is the total number of items to choose from, in this case, 7 books, and k is the number of items to arrange, in this case, 3. Using the formula:
P(7, 3) = 7! / (7-3)! = 7! / 4! = (7 × 6 × 5 × 4!) / 4! = 210.
Therefore, there are 210 different arrangements possible when selecting and arranging 3 books out of 7.
how many square feet of outdoor carpet will we need for this hole?
please need help asap
disclaimer: if u do not know the answer please do not guess.please and thankyou
Answer:
36 sqaured feet
Step-by-step explanation:
24 plus 12 i believe?
Answer:
its so easy : 36 square feet
Step-by-step explanation:
add 24+12=36
Mary has a collection of nickels and quarters for a total of $4.90. If she has 42 coins in total, how many of each kind are there?
Answer:
14 quarters and 28 nickels
Step-by-step explanation:
System of Equations where x = number of quarters and y = number of nickels
(1) equation with value of each coin
0.25(x)+0.05(y) = 4.90
(2) total number of coins
x + y = 42
Solve system of equations using either substitution or elimination
(elimination multiplying equation 2 by -0.5)
.25(x) + 0.05(y) = 4.90
-0.05(x) - 0.05(y) = 42 * (-0.05)
(3) Resulting equation
.20(x) = 2.8
x = 14
plug x into equation 2
14 + y = 42
y = 28
There are 14 quarters and 28 nickels in Mary's collection.
What value of x is in the solution set of 2x – 3 > 11 – 5x?
–3
0
2
4
Answer:
x = 4
Step-by-step explanation:
Solve the inequality
2x - 3 > 11 - 5x ( add 5x to both sides )
7x - 3 > 11 ( add 3 to both sides )
7x > 14 ( divide both sides by 7 )
x > 2
The only value of x greater than 2 is 4, thus
x = 4 is in the solution set
The value of x that is a solution set to the inequality is: D. 4.
How to Find the Solution Set of an Inequality?Given the an inequality such as, 2x – 3 > 11 – 5x, solve to isolate x.
2x – 3 > 11 – 5x
2x + 5x > 11 + 3
7x > 14
Divide both sides by 7
x > 14/7
x > 2
All set of the solution must be greater than 2. 4 is the only value of x that is greater than 2, so the answer is: D. 4.
Learn more about inequality on:
https://brainly.com/question/11613554
#SPJ9
What are the terms in the expression 2x−4y+8 ?
2x and 4y
8
2, 4, and 8
2x, −4y , and 8 i looked at the other answers of others but i only need one answer so please help
Answer:
The correct answer is D. 2x, -4y, and 8.
Step-by-step explanation:
The concept of the terms of an equation is used for the monomials of each member participating in the equation. In Mathematics we distinguish between two types of terms:
1. The terms in x: when the terms are accompanied by a literal.
2. The independent terms: when the terms are constituted by numerical elements.
I can’t seem to figure this out help please
Answer:
10 hours
Step-by-step explanation:
you need to drop 36 degrees, so 36/4 = 9 hours
1 pm + 9 hours = 10 pm
Answer:
Step-by-step explanation:
Leona purchased a $1,000 bond having a quoted price of 99.875. She had to pay a 5.5% brokerage fee (of the selling price). What was the total cost of the bond (to the nearest whole cent)?
$943.82
$1,064.44
$534.77
$2,054.22
None of these choices are correct.
Answer:
The total cost of the bond is none of the given choices.
Step-by-step explanation:
The selling price of a $1000 bond = $99.875
The brokerage fee = 5.5 %
Now, 5.5% of $99.875 = [tex]\frac{5.5}{100} \times 99.875 = 5.493[/tex]
So, the brokerage fee = $5.493
Now, to find out the total cost of the bond:
Total Cost = The selling Price + Brokerage Price
= $99.875 + $5.493
= $105.368
or, the total price of the $1000 bond is $ 105.368.
Hence, the total cost of the bond is none of the given choices.
A rectangular piece of land has an area of 3/4 square mile. The land is 21/2 mile. What is its width
Answer:
The width of the rectangle is [tex]\frac{1}{14}[/tex] miles
Step-by-step explanation:
Given as for rectangle
The area of rectangle = A = [tex]\frac{3}{4}[/tex] mile²
The Length of rectangle = L = [tex]\frac{21}{2}[/tex] mile
Let The width of rectangle = W miles
Now, From area of rectangle
I.e Area of Rectangle = Length × Width
Or , A = [tex]\frac{21}{2}[/tex] mile × W mile
Or, [tex]\frac{3}{4}[/tex] mile² = [tex]\frac{21}{2}[/tex] mile × W mile
or, W = [tex]\frac{\frac{3}{4}}{\frac{21}{2}}[/tex] mile
or, W = [tex]\frac{3\times 2}{4\times 21}[/tex]
∴ W = [tex]\frac{1}{14}[/tex] miles
Hence The width of the rectangle is [tex]\frac{1}{14}[/tex] miles Answer
Final answer:
The width of the rectangular piece of land is 0.3 miles.
Explanation:
To find the width of the rectangular piece of land, we need to divide the area of the land by its length.
Area = 3/4 square mile
Length = 2 1/2 miles = 5/2 miles
Width = Area / Length
Width = (3/4) / (5/2) = (3/4) * (2/5) = 6/20 = 0.3 miles
So, the width of the land is 0.3 miles.
Solve.
−1.5x−3.1<5.5
Drag and drop a number or symbol into each box to show the solution.
Answer:
[tex]x>-5.733[/tex]
Step-by-step explanation:
Given : Expression [tex]-1.5x-3.1<5.5[/tex]
To find : Solve the expression ?
Solution :
Step 1 - Write in inequality,
[tex]-1.5x-3.1<5.5[/tex]
Step 2 - Add 3.1 both side,
[tex]-1.5x-3.1+3.1<5.5+3.1[/tex]
[tex]-1.5x<8.6[/tex]
Step 3 - Divide by 1.5 both side,
[tex]-\frac{1.5x}{1.5}<\frac{8.6}{1.5}[/tex]
[tex]-x<5.733[/tex]
Step 4 - Multiply by -1 both side,
[tex]x>-5.733[/tex]
The number is -5.733 and symbol is greater (>).
What is the slope and y intercept of y-4x=-2
Answer:
Step-by-step explanation:
y=4x-2
Period:
1. Your cell phone plan costs 15 dollars a month, plus 10 cents per minute. Fill out a table, create a graph,
and write an equation to model the money you will spend each month on your cell phone.
Graph
Equation
Table
minutes cost
To model the money spent on a cell phone plan each month, the equation Cost = $15 + $0.10 × minutes can be used. A table and graph can be created by choosing different values for minutes and calculating the corresponding cost. The slope of the line represents the rate of change and the y-intercept represents the fixed cost.
To model the money you will spend each month on your cell phone, you can use the equation:Cost = $15 + $0.10 imes minutes
This equation represents a linear relationship where the fixed cost is $15 and the variable cost is $0.10 per minute. To create a table and graph, you can choose different values for minutes and calculate the corresponding cost. For example:Minutes Cost
0 $15
10 $16
20 $17
Using this data, you can plot the points on a Cartesian coordinate plane and draw a straight line through them. The slope of the line represents the rate of change (0.10 in this case) and the y-intercept represents the fixed cost ($15).vincent’s copier can print in 7 hours. chris’s printer can do the same in 13 hours. how long would it take to do the job using both copiers
Answer:
Step-by-step explanation:
1/7+1/13=1/t
multiply both sides by 7*13*t
13t+7t=7*13
21t=91
t=91/19
it will take 4 hours and 8 minutes
n is a positive intiger. Explain why 2n+1 must be an odd number.
2n + 1 will be an odd number.
Odd and EvenIf the number is divisible by 2 then the number will be an even number. Similarly, the number is not divisible by 2 then the number will be an odd number.
Given
2n+1 is a number where n is a positive integer.
To findThe 2n + 1 is an odd number.
How to find that 2n + 1 is an odd number?We know that if the integer is multiplied by 2 then it becomes the even number.
So the 2n is an even number.
We know that the sum of an even number and an odd number is an odd number. That is
Even + odd = odd
so 2n + 1 will be an odd number.
More about the odd and the even link is given below.
https://brainly.com/question/924646
The expression 2n + 1 represents an odd number for any positive integer n.
Explanation:The expression 2n + 1 represents an odd number for any positive integer n. This can be shown through an algebraic proof.
Let's assume that n is any positive integer. When we multiply 2 by any integer, we always get an even number because an even number multiplied by 2 is always even. Adding 1 to an even number results in an odd number. Therefore, 2n is always an even number, and by adding 1 to it, we get an odd number (2n + 1).
For example, if we take n = 1, then 2n + 1 = 2(1) + 1 = 3, which is an odd number. Similarly, if we take n = 2, then 2n + 1 = 2(2) + 1 = 5, which is also an odd number.
what is the slope of y= -4
Answer:
the slope is 0
Step-by-step explanation:
If 7 = -4, then the line will be horizontal on (-4) going on forever, never moving up or down. Therefore, there will be no slope.
There are 5 boys in a class of 14 students (a)what is the ratio of girls to boys (b)what is the ratio of all students in the class to girls
Answer: a. 9:5
b: 14:9
Step-by-step explanation:
if there are 14 people in a class given 5 boys, then there are 9 girls. The values needed are boys (5), girls (9), and total students (14). Ratio Girls : Boys is 9 : 5 and Ratio All Students : Girls is 14 : 9
Answer:
9:5
Step-by-step explanation:
if there are 14 people in a class given 5 boys, then there are 9 girls.
Someone please help!
Answer:
1. 35, 32, 29, 26 are in Arithmetic Sequence having common difference - 3.
5. -7, -9, -11, -13 are in Arithmetic Sequence having common difference - 2.
Step-by-step explanation:
1. 35, 32, 29, 26 are in Arithmetic Sequence having common difference - 3.
2. -1. 6, -36, 216 are not in Arithmetic Sequence.
3. -2, -4, -8, -16 are not in Arithmetic Sequence.
4. -1, 1, 4, 8 are not in Arithmetic Sequence.
5. -7, -9, -11, -13 are in Arithmetic Sequence having common difference - 2.
6. 1, -5, 25, -125 are not in Arithmetic Sequence. (Answer)
Select all the points that are on the graph of the line 2x + 4y=20 a.)(0.5) b. (0,10) c. (1,2) d.) (1,4) e.) (5,0) f. (10,0)
Answer:
(0,5) and (10,0)
Step-by-step explanation:
The equation of the straight line is given by 2x + 4y = 20 .......... (1)
Now, point (0,5) satisfies the equation (1) as putting x = 0, we will get y = 5.
Now, point (0,10) does not satisfy the equation (1) as putiing x = 0, we get y = 5 ≠ 10
Again, point (1,2) does not satisfy the equation (1) as putiing x = 1, we get y = 4.5 ≠ 2
Now, point (1,4) does not satisfy the equation (1) as putiing x = 1, we get y = 4.5 ≠ 4
Again, point (5,0) does not satisfy the equation (1) as putiing y = 0, we get x = 10 ≠ 5
Finally, point (10,0) satisfies the equation (1) as putiing y = 0, we get x = 10 .
Therefore, only points (0,5) and (10,0) are on the graph of the line 2x + 4y = 20 (Answer)
Answer:
The points a. (0,5) and f. (10,0) will lie on the given line.
Step-by-step explanation:
The given equation of line is [tex]2x + 4y=20[/tex].
Now, it is required to check whether the given point lie on the line or not. To check it, put the points in the equation of line and if they satisfies, then the point will be on the line else not.
(a) The first point is (0,5). Put this point in the equation as,
[tex]2x + 4y=20\\2\times0+4\times 5=20\\20=20[/tex]
Thus, the point satisfies and it will lie on the line.
(b) The first point is (0,10). Put this point in the equation as,
[tex]2x + 4y=20\\2\times0+4\times 10=20\\40\neq20[/tex]
Thus, the point doesn't satisfy and hence, it will not lie on the line.
(c) The first point is (1,4). Put this point in the equation as,
[tex]2x + 4y=20\\2\times1+4\times 4=20\\18 \neq 20[/tex]
Thus, the point doesn't satisfy and hence, it will not lie on the line.
(d) The first point is (5,0). Put this point in the equation as,
[tex]2x + 4y=20\\2\times5+4\times 0=20\\10 \neq 20[/tex]
Thus, the point doesn't satisfy and hence, it will not lie on the line.
(f) The first point is (10,0). Put this point in the equation as,
[tex]2x + 4y=20\\2\times10+4\times 0=20\\20 =20[/tex]
Thus, the point satisfies and it will lie on the line.
Therefore, points (0,5) and (10,0) will lie on the given line.
Refer the graph of line and points.
For more details, refer the link:
https://brainly.com/question/17468279?referrer=searchResults
DOES ANYBODY KNOW THIS??
h = 3a + 28.6
A pediatrician uses the model above to estimate the
height h of a boy, in inches, in terms of the boy's
age a, in years, between the ages of 2 and 5. Based
on the model, what is the estimated increase, in
inches, of a boy's height each year?
A) 3
B) 5.7
C) 9.5
D) 14.3
The estimated increase in height each year for a boy, according to the model h = 3a + 28.6, is 3 inches.
The equation h = 3a + 28.6 is used to estimate the height h of a boy, in inches, in terms of the boy's age a, in years. The coefficient of a in this linear equation represents the rate of change of height with respect to age. Given that the coefficient is 3, this indicates that the estimated increase in height each year is 3 inches. Therefore, the answer to the question is A) 3.