the 4.3 represents The number of apples in 1 pound
The 4.3 in the equation represents the number of apples in 1 pound
What is the solution for an equation?The solution of an equation refers usually to the values of the variables involved in that equation which if substituted in place of those variable would give a true mathematical statement.
We are given equation y = 4.3x can be used to determine the total cost, y, in dollars, of x pounds of apples.
Here we can see that y = 4.3x
4.3 = y/x
then we can say that 4.3 is slope of striaght line in term os linear equation.
4.3 in the equation represents the number of apples y, in dollars, of x pounds.
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Which of the following is the correct formula for the margin of error in the interval estimation of p?
Multiple Choice
zα / 2p ( 1 − p )n− 1−−−−−−√zα / 2p ( 1 − p )n− 1
zα / 2p¯ ( 1 − p¯ )n − 1 −−−−−−−√zα / 2p¯ ( 1 − p¯ )n − 1
zα / 2p ( 1 − p )n−−−−−−√zα / 2p ( 1 − p )n
zα / 2p¯ ( 1 − p¯ )n−−−−−−−√
The correct formula for the margin of error in the interval estimation of p is Za/2 √p(1-p)/n.
Interval estimation:
Interval estimation refers the evaluation of a parameter—for example, the mean (average)—of a population by computing an interval, or range of values, within which the parameter is most likely to be located.
Given,
Here we need to find the correct formula for the margin of error in the interval estimation of p.
In order to find the correct formula for the margin of error, we have to know the definition of the margin of error,
Margin of error states that "a statistical measurement that accounts for the difference between actual and projected results in a random survey sample."
According to this definition, we have identified that the correct formula, for the margin of error in the interval estimation P is written as,
=> Za/2 √p(1-p)/n.
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the funtion 2x+1.5y=18 represents the number of book raffle tickets x and food raffle tickets y. you buy at the club event?
The solution of the equation 2x + 1.5y = 18 for the variable y is given as follows:
y = (18 - 2x)/1.5.
How to solve the equation for the variable y?The equation for this problem is presented as follows:
2x + 1.5y = 18.
To solve for the variable y, we have to isolate the variable y.
The first step is passing every term on the left side of the equality that does not contain the variable y to the right side, hence:
1.5y = 18 - 2x. (positive on the left side is negative on the right side).
Then the constant 1.5, which is multiplying on the left side, moves to the right side dividing the expression, hence:
y = (18 - 2x)/1.5.
Missing InformationThe problem asks for the solution of the equation 2x + 1.5y = 18 for the variable y.
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What number can be subtracted from
974,798 to make 291,256?
Answer:
Step-by-step explanation:
answer: 683542
974798-683542= 291256
974798-291256=683542
40 sayısının çarpanlarından
A) 1
B) 2
kaç tanesi tek sayıdır?
C) 3
D) 4
Answer:
1. Factors of 40: 1, 2, 4, 5, 8, 10, 20 and 40
1. 40 sayısının çarpanlarından: 1, 2, 4, 5, 8, 10, 20 and 40
Step-by-step explanation:
kaç tanesi tek sayıdır: 2
How many are odd numbers: 2
yanılıyor olabilirim eğer bir hata yaparsam lütfen söyleyin
I might be wrong so if I make any mistakes please tell me
What are the roots of the quadratic equation 0 = 2x² + 12x-14?
1,6, -7
2,12,-14
-7,1
-1,7
The roots of the quadratic equation 0 = 2x² + 12x-14 is (C) x=-7 and x=1.
What is a quadratic equation?Any equation in algebra that can be written in the standard form where x stands for an unknown value and a, b, and c stand for known values is said to be a quadratic equation.
In general, it is assumed that a > 0; equations with a = 0 are regarded as degenerate since they become linear or even simpler.
So, the roots of 0 = 2x² + 12x-14 are:
2x² + 12x-14 = 0
2x² + 14x - 2x -14
2x(x + 7) - 2(x + 7)
(2x - 2) (x + 7)
Now, use the zero product property as follows:
2x - 2 = 0
2x = 2
x = 2/2
x = 1
And
x + 7 = 0
x = -7
Therefore, the roots of the quadratic equation 0 = 2x² + 12x-14 is (C) x = -7 and x = 1.
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Correct question:
What are the roots of the quadratic equation 0 = 2x² + 12x-14?
a. 1,6, -7
b. 2,12,-14
c. -7,1
d. -1,7
What is the measure of y?
4
16
X
y = [?]
4
y
N
The measure of y = 8
Define Pythagorean theorem
The Pythagorean theorem or Pythagoras' theorem is a fundamental relation in Euclidean geometry between the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides.
Let, sides will be A, B, C and D
So, we have given that
AD = 16
DB = 4
DC = y
We know,
DC² = AD * DB
Now, plug in the values
y² = 4 * 16
y² = 64
y = 8
Hence the measure of y = 8
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If F=2x^2−3x−2, then select the correct statement. a. x=-1/2 is the position of stable equilibrium, b. x=2 is the position of stable equilibrium, c. x=-1/2 is the position of stable equilibrium, d. x=2 is the position of neutral equilibrium
The correct option is A which is x=-1/2 is the position of stable equilibrium.
Given in the question,
F=2x²−3x−2
dx/dF = 4x−3<0
x<3/4 for stable equilibrium
x>3/4 for unstable equilibrium
For stable F=0
2x²−3x−2=0
2x²−4x+x−2=0
2x(x−2)+1(x−2)=0
(2x+1)(x−2)=0
x=−1/2 ,x=+2
In the event that a system in equilibrium is disturbed marginally, in the event that it is steady it will in general re-visitation or waver about its unique equilibrium state. An unsteady system will in general keep on getting away from its unique equilibrium state when moved away by it. Consequently, on account of a stable equilibrium, there is a tendency for the item to return to its old position. In an unstable equilibrium again, the balance is temperamental when a slight unsettling influence inspires further unsettling influence, with the goal that the first position is rarely reestablished.
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Given: Circle O, and RO bisects MP
prove: MR is congruent to PR
Answer:
Step-by-step explanation:
Statements: Reasons:
RO bisects MP Given
MO is congruent to PO Definition of a bisector
RO is congruent to RO Reflexive property
That is all i know so far and what I have learned. I'm in 9th grade so i don't know much. Sorry! Wish i could help more
The points (5, 4), (3, 2), and (-1, -2) all lie on the same line. Which is another
point that lies on the same line?
(-4,-5)
(7,5)
(-3, -3)
(0, 1)
Another point that lies on the same line is (-4,-5).
Given:
The points (5, 4), (3, 2), and (-1, -2) all lie on the same line.
if lines are on the same line there slopes are equal:
(5,4) and (3,2)
slope m = 2-4 / 3-5
= -2/-2
= 2/2
m = 1
The point that lies on the same line must have slope m = 1 with any given point.
suppose (5,4) and (-4,-5)
slope m = -5-4 / -4-5
= -9/-9
= 9/9
= 1.
Hence (-4,-5) is another point on the same line.
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there are 200 sixth graders and 170 of them want to take geometry and 175 want to take algebra what is the least number of people who want to take both geomtry and algebra
The least number of people who want to take both geometry and algebra is 145
How to find the least number of people that would like to take geometry and algebraThe inclusion-exclusion principle is a counting method that generalizes the well-known approach to determining the number of members in the union of two
The inclusion - exclusion principle is used here
let the number that will take both algebra and geometry be x
200 = 170 - x + 175 - x + x
200 = 345 - x
x = 354 - 200
x = 145
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The least number of people who want to take both geometry and algebra is 145 graders
What is intersection of set?The intersection of sets can be denoted using the symbol '∩'. the intersection of two sets A and B is the set of all those elements which are common to both A and B. Symbolically, we can represent the intersection of A and B as A ∩ B.
The number of graders that want to take geometry is 170
The number of graders that want to take algebra is 175
A ∩ G= n(A) + n(G) -( AUB)
=175+170-200
= 345-200
= 145
Therefore the least number of people that will want to do both geometry and algebra is 145
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Determine the value of x in the equation.
Four fifths times the quantity x plus 9 end quantity minus one fifth times x equals three fifths times the quantity x plus 12 end quantity.
A). No solution
B). Infinite solutions
C). x = 3
D). x = 1
Answer:
B) Infinite solutions
Step-by-step explanation:
[tex] \frac{4}{5} (x + 9) - \frac{1}{5} x = \frac{3}{5} (x + 12)[/tex]
[tex] \frac{4}{5} x + \frac{36}{5} - \frac{1}{5} x = \frac{3}{5} x + \frac{36}{5} [/tex]
[tex] \frac{3}{5} x = \frac{3}{5} x[/tex]
We have infinite solutions.
The number y of perfume bottles in storage after x months is represented by the equation y=-20x+460 . Graph the equation.
The graph of the linear equation can be seen in the image at the end.
How to graph the linear equation?Here we have the following linear equation:
y = -20*x + 460
To graph the line, we need to find two points on the line, then graph these, and graph a line that connects them.
To get the points, we need to evaluate the linear equation in two values of x.
if x = 0
y = -20*0 + 460
y = 460
if x = 10
y = -20*10 + 460
y = -200 + 460
y = 260
So we have the points (0, 460) and (10, 260), then the graph of the line is:
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Jordan i working two ummer job, making $13 per hour lifeguarding and $10 per hour walking dog. Lat week Jordan earned a total of $177 and worked 3 more hour lifeguarding than hour walking dog. Determine the number of hour Jordan worked lifeguarding lat week and the number of hour he worked walking dog lat week
Jordan worked 9 hours as lifeguarding
Jordan worked 6 hours walking dog
given that
Jordan making $13 per hour lifeguarding and $10 per hour walking the dog
last week Jordan earned a total of $177
let x be the number of hours she worked walking the dog
let y be the number of hours she worked as a lifeguard
13y+10x=177 -------- (1)
worked 3 more hour lifeguarding than an hour walking dog
y = 3 + x --------(2)
substitute equation 2 in 1
13(3+x) +10x =177
39+13x+10x = 177
39 + 23x = 177
23x = 177 -39
23x = 138
x = 138/23
x = 6
now substitute x=6 in equation 2
y = 3 + 6
y = 9
9 number of hours he worked lifeguarding last week
6 number of hours he worked walking dog last week
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Finance Desiree starts a savings account with $125.00. Every month, she
deposits $53.50.
a. Complete the table to model the situation.
The given table is completed.
Given,
Finance Desiree starts a savings account with $125.00. Every month, she
deposits $53.50.
we are asked to complete the table to model the situation.
Month is represented by x.
Amount in savings, be y.
hence we frame:
x = 0, y = $125
x = 1, y = $(125+53.5) = $178.50
x = 2, y = $(178.50+53.5) = $232
x = 3, y = $(232+53.5) = $285.50
x = 4, y = $(285.50+53.5) = $339
hence we complete the table for 5 months,
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pleaseeeeeee explain
The fraction of the total number of boats is the number of destroyers is 15/25 and the number of battleships is 0.56 times the number of destroyers.
What is the ratio?It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.
It is given that, the ratio of battleships to destroyers in the navy is 10:15.
battleships : destroyers = 10:15
The fraction of the total number of boats is the number of destroyers is,
=15/10+15
=15/25
The ratio of battleships to destroyers in the navy is 10:15. The number of battleships is 0.56 times the number of destroyers.
Thus, the fraction of the total number of boats is the number of destroyers is 15/25 and the number of battleships is 0.56 times the number of destroyers.
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Match the numbers with the correct label.
Answer:
a = [tex]\frac{1}{7}[/tex]
b = .2
c= [tex]\frac{3}{9}[/tex]
Step-by-step explanation:
You could change all of the numbers to decimals and then order
[tex]\frac{1}{7}[/tex] ≈ .1428
.2 =.2
[tex]\frac{3}{9}[/tex] ≈ .3
Which function represents g(x), a reflection of f(x) = 6
H
across the y-axis?
) = −6(-3)*
O g(x) =
©_g(x) = −6[³]*
O g(x) = 6(3)*
O g(x) = 6(3)*
Step-by-step explanation:
Answer: D.) g(x) = 6(3)^{-x}g(x)=6(3)
−x
Step-by-step explanation: We are given an exponential function f(x).
g(x) is an exponential function that is being reflected across y-axis.
According to rules of transformations y=f(-x).
That is variable x is being multiplied by a negative sign.
In the given options g(x) = 6(3)^{-x}g(x)=6(3)
−x
, the variable x is being multiplied by a negative sign.
Therefore, correct option is D option.
The function represents the reflection is g(x) = 6 (3[tex])^{-x[/tex].
What is Function?A function is a type of rule that produces one output for a single input.
a mathematical phrase, rule, or legislation that establishes the link between an independent variable and a dependent variable (the dependent variable).
We are given an exponential function f(x).
Also, g(x) is an exponential function that is being reflected across y-axis.
Here the rule of transformations y=f(-x).
The x-coordinate and y-coordinate swap places and the signs if you deflect across the line y = -x.
Reflections: By multiplying by -1, a function can be mirrored about an axis.
So, the function after reflection is
g(x) = 6 (3[tex])^{-x[/tex]
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The test statistic of z = 1.49 is obtained when testing the claim that p > 0.8. a. Identify the hypothesis test as being two-tailed, left-tailed, or right-tailed. b. Find the P-value. c. Using a significance level of a = 0.05, should we reject H0 or should we fail to reject H0?
By using right tailed test the following results are obtained
a) The test is a right tailed test
b) P value = 0.0681
c) We fail to reject the null hypothesis
What is right tailed test?
Suppose there is a null hypothesis. If the alternate hypothesis claims that the true value of the parameter is greater than the null hypothesis, then the test used is called right tailed test.
a) Since p > 0.8, right tailed test is used
b) The corrosponding z is z = 1.49
P value = p(z > 1.49)
= 1 - p(z [tex]\leq[/tex] 1.49)
= 1 - 0.9319
= 0.0681
c) 0.0681 is greater than a = 0.05
So we fail to reject the null hypothesis [tex]H_0[/tex]
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(9x 10^-2 )- (3x 10^-2
a.6 x 10^-4
b.12 x 10^-2
c.6 x 10^0
d.6 x 10^-2
Answer:
Step-by-step explanation: i'm not one hundred percent sure but i think its B
The equation of line line a gis y = (startfraction b over a c endfraction)x. the midpoint of bc is (a c, b). does the midpoint of bc lie on line a g? why or why not? no, because (startfraction b over a c endfraction)b does not equal a c no, because (startfraction b over a c endfraction)(a c) does not equal b yes, because (startfraction b over a c endfraction)b = a c yes, because (startfraction b over a c endfraction)(a c) = b
yes, because the midpoints (a+c) = b
Given that the line's equation is y=x.
B and C are the two points on this line.
( a+ c, b) is the midpoint of B and C.
We can see from this that using the midpoint formula
a + c = [tex]\frac{x1+x2}{2}[/tex]
b=[tex]\frac{y1+y2}{2}[/tex]
Because both points are on y=x, we get
x1=y1, x2=y2.
As a result, x1 = a+c and 2y1 = 2b or y1 =b.
Because x1=y1, we have a+c =b.
In other words, the coordinates of the midpoint satisfy the equation y=x.
Thus, the answer is
because (a+c) = b
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3 miles in 45mins what’s the mph
Answer: 4mph
Step-by-step explanation: convert 45 minutes into hours: 45min*1hr/60min = 0.75hr 3miles/.75 hr = 4mlies/1hr = 4mph
04.02 Comparing Functions
i need help asap yall
The values of the function when x = 3 are -10. -1 and -3, respectively
The values of the functionFunction 1
The equation of the function is given as
y = -4x + 2
We have the value of x to be 3
So, we have
y = -4 x 3 + 2
Evaluate
y = -10
Function 2
The graph represents the notation of the function
On the graph, we have the value of y to be -1, when x = 3
This means that
y = -1
Function 3
The table represents the notation of the function
On the table, we have the value of y to be -3, when x = 3
This means that
y = -3
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The printing rate for Printer B is 10 pages more than the rate of printer A because the rate of 25 pages per minute is 10 pages more than the rate 15 pages per minute for Block A
The rate for Printer B is greater than the rate for Printer A because the rate of 25 pages per minute is greater than the rate of 15 pages per minute for Printer A.
How to compare graph rates?From the attached graph of the printing rate of Printer A, we can see that;
At 1 minute, number of pages printed = 15
At 2 minutes, number of pages printed = 30 minutes
At 3 minutes, number of pages printed = 45
Thus printing rate for printer A is; 15/1 = 30/2 = 45/3 = 15 pages per minutes
Since printer B can print 25 pages per minute, we can conclude that;
The printing rate for Printer B is 10 pages more than the rate of printer A because the rate of 25 pages per minute is 10 pages more than the rate 15 pages per minute for Block A
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Complete question is;
The graph shows the printing rate of printer A. Printer B can print at the rate of 25 pages per minute. How does the printing rate of printer B compare to the printing rate for printer A.
PLEASE HELP ME!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Help me asap please!! Ill mark brainliest!! I really need to get this right! ty:))
Answer:
y=1/2x+2
Step-by-step explanation:
slope form is y=mx+b
m-slope
b- y intercept (when x is 0)
To find slope we use y2-y1/x2-x1
4-3/4-2
1/2 is the slope
Now we know every time X goes up 1 y goes up 1/2 so we subtract back to find y intercept
(1,2.5)
(0,2)
Y intercept is 2
Hopes this helps please mark brainliest
mrs Stuart borrowed $4,000 from Commonwealth Bank for some furniture her loan is for 2 years at an interest rate of 7%, how much interest will she pay
Answer:
560
The formula for interest is I=prt
so 4000×7/100×2=560
Type the correct answer in each box. Use numerals instead of words.
The table below shows the cost for certain number of truck loads of fruit. Fill in the missing costs.
Truck
Load Cost ($)
1 2,530
2
3 7,590
8
Based on the pattern in the table, 11 truck loads of fruit would cost $
.
Based on the pattern in the table (see attachment), 11 truck loads of fruit would cost $27,830.
What is a direct proportion?Mathematically, a direct proportion or direct variation can be represented the following mathematical expression:
y = kx
Where:
y represents the truck load.x represents the cost in dollars.k represents the constant of proportionality.By applying direct proportion, we have the following mathematical expressions:
1 truck load of fruit = 2,530 dollars.
11 truck load of fruit = X dollars.
Cross-multiplying, we have the following:
Cost, X dollars = 11 truck load of fruit × 2,530 dollars.
Cost, X dollars = 27,830 dollars.
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Question Help v Error Analysis On a math test a student, Jake, has to identify all the coefficients and constants of the expression 9 + 6b + y. Jake says that 6 is a coefficient and 9 is a constant. Identify all the coefficients and constants of the expression. What error might Jake have made?
The coefficients of the algebraic expression are 6, 1.
The constant of the algebraic expression is 9.
The error Jake might have made is that: D. Jake did not include the coefficient 1.
What is an algebraic expression?An algebraic expression can be defined as a mathematical equation which is used to show the relationship existing between two or more variables, numerical quantities (constants), accompanied with the use of different mathematical operations.
What is a coefficient?In Mathematics, a coefficient can be defined as a constant quantity or numerical value (number or numeral) that is typically placed before the variable in an algebraic expression.
Based on the information provided about this algebraic expression, we can reasonably infer and logically deduce that there are only two (2) coefficients and one constant, and these include the following:
6 as the coefficient of b.1 as the coefficient of y.9 is a constant.This ultimately implies that, an error which was made by is the exclusion of the coefficient 1 for y.
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Complete Question:
On a math test a student, Jake, has to identify all the coefficients and constants of the expression 9 + 6b + y. Jake says that 6 is a coefficient and 9 is a constant. Identify all the coefficients and constants of the expression. What error might Jake have made?
The coefficient(s) of the expression is/are __
Use a comma to separate answers as needed.)
The constant(s) of the expression is/are __
(Use a comma to separate answers as needed.)
What error might Jake have made?
A. Jake said 9 is a coefficient. It is actually a constant.
OB. Jake said 6 is a constant. It is actually a coefficient.
OC. Jake did not include the constant 1.
OD. Jake did not include the coefficient 1.
Question 4(Multiple Choice Worth 2 points) (Evaluating Algebraic Expressions LC) What is the value of 12x if x = -5? O-60 O-17 O-125 O-47 please help
The value of 12x is -60, if x = -5.
Given expression is 12x, if x = -5
To solve the expression we have to compute the x value in the given expression:
= 12x
= 12(-5)
Now we have to simplify 12(-5) by multiplying negatives
= -12*5
Multiplying an odd number of negative numbers gives a negative number.
So, Now we have to multiply the constants, that equals to
= -60
Hence the answer is the value of 12x is -60, if x = -5.
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Find the Error A student found the slope of one segment on a line to be 4 and the slope of another segment on the same line to be 8/2. He concludes that the slope is different at different points on the line. Correct his thinking
If we simplify the fraction we will see that the slope is equal in the two segments of the line.
How to correct the student?
A linear equation is written as:
y = m*x + b
Where m is the slope and b is the y-intercept, both of these are constants.
In this case the student found the slope on one part to be 4, and on other part to be 8/2.
But if you solve that second quotient:
8/2 = 4
The slope is still 4, so in both segments the slope is the same, which means that the slope is equal at different parts of the line.
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