The margin of error is 0.88.
What is a margin of error?
In a random survey sample, a margin of error is a statistical measurement that takes into account the discrepancy between actual and anticipated findings.
Here, we have
Lower confidence interval = 21.42
Upper confidence interval = 23.18
Now,
Sample mean(x) = (Lower confidence interval + Upper confidence interval)/2
x = (21.42 + 23.18)/2
x = 44.6/2
Sample mean (x) = 22.3
Now, we find the margin of error,
margin of error = Upper confidence interval - x
= 23.18 - 22.3
= 0.88
Hence, the margin of error is 0.88.
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The margin of error is 0.88.
What is a margin of error?In a random survey sample, a margin of error is a statistical measurement that takes into account the discrepancy between actual and anticipated findings.Here, we have
Lower confidence interval = 21.42Upper confidence interval = 23.18Now, calculate:
Sample mean(x) = (Lower confidence interval + Upper confidence interval)/2
x = (21.42 + 23.18)/2x = 44.6/2Sample mean (x) = 22.3Now, we find the margin of error:
margin of error = Upper confidence interval - x
= 23.18 - 22.3= 0.88Hence, the margin of error is 0.88.
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Which compound inequality is equivalent to the absolute value inequality lbl >6?
hand
Answer:
b > 6, b < -6
Step-by-step explanation:
Hello!
Using absolute value rules:
|b| > 6; b > 6, b < -6The compound inequality is as follows: b > 6, b < -6
This makes sense because all values turn positive in the asbolute value. So a number that is negative and less than -6 (say -7), would turn positive to be 7, which is greater than 6.
And any number already greater than 6 will always be greater than 6.
Please Help me graph the linear equation!! 70 Points
Answer:
Step-by-step explanation:
We will follow the same steps as in the previous question. First, we can start by leaving the variable [tex]y[/tex] alone.
[tex]2y=5x+11[/tex][tex]y=\frac{5x+11}{2}[/tex]In this step, let's be careful to give the variable [tex]x[/tex] odd numbers. The rational expression will then be an integer.
For [tex]x=1,y=8[/tex]For [tex]x=-1, y=3[/tex]For [tex]x=-3, y=-2[/tex]Finally, connect these three points. You can see the connected version in the photo. Good luck!
20 = 4 (y + 8) - 8y solve for y and simplify your answer as much as possible
Answer:
y = 3
Step-by-step explanation:
20 = 4 (y + 8) - 8y
20 = 4y + 32 - 8y
20 - 32 = 4y - 8y
-12 = -4y
-4y = -12
-4y/-4 = -12/-4
y = 3
To check
20 = 4 (y + 8) - 8y
20 = 4 (3 + 8) - 8(3)
20 = 12 + 32 - 24
20 = 44 - 24
20 = 20
Correct~
Answer: y = 3
Step-by-step explanation:
1. Distribute the 4 to the terms in the parenthesis.
20 = 4y + 32 - 8y
2. Combine like terms (those containing y).
20 = -4y + 32
3. Isolate terms with y by subtracting 32 from both sides.
-12 = -4y
4. Divide both sides by -4.
3 = y
14. In exercise 13, suppose grapes cost
$2.35 per pound, oranges cost $0.99 per
pound, and apples cost $1.65 per pound.
Estimate how much Adrian paid for all
the fruit.
Assume grapes cost $2.35 per pound, oranges cost $0.99 per pound, and apples cost $1.65 per pound in exercise 13. Adrian paid a total of $5 for the fruits.
What is Estimation?Calculations are made easier and more realistically when a number is estimated, which is a plausible estimation of its true value.To estimate something is to approximate it as accurately as possible.To acquire a quick and approximate response, this is obtained by rounding off the values used in the calculation. Rounding integers to the closest whole number is the simplest method for estimating. Rounding off makes getting a rough answer quicker. Koel, for instance, makes a 3950 monthly deposit toward the cost of her new home. This value can be rounded out to 4000 to make the calculation easier. To round a number, determine its nearest required digit. To avoid working with fractions or decimals, numbers are frequently rounded to the next whole number.Therefore,
The cost of Grapes = $2.35 per pound
The cost of Oranges = $0.99 per pound
The cost of Apples = $1.65 per pound
If Adrian purchased one pound of each fruit,
He paid:
$2.35 + $0.99 + $1.65 = $4.99 = $5 (Approx.)
So, Adrian paid $5 in total for the fruits.
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Fill in the blanks to demonstrate the Multiplicative Inverse Property.
9/7* =
4/3* =
5 1/3* =
The multiplicative inverse property of the questions that we have here are:
9/7* = 9/7 x 7/9 = 14/3 = 4/3 * 3/4 = 15 1/3 = 16/3 * 3/16 = 1What is the multiplicative inverse property?This is the term that is used in Mathematics to show that we are to multiply a fraction by the inverse of that fraction.
A good example of this would be the form that is written as:
1/a would have the inverse property written as a/1
such that 1/a *a/1 = 1
In the same way,
we have
9/7 * 7 / 9 = 1
4/3 * 3/4 = 1
5 1/3 = 16 / 3 * 3/ 16 = 1
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1) If a horizontal asymptote exists for this function, identify its location.4x + 6x3x3 - 2x + 1AyoB3B) y =4OyD Does Not Exist
For this problem, we are given the following rational function:
[tex]f(x)=\frac{4x^3+6x}{3x^3-2x+1}[/tex]We need to determine the horizontal asymptote for this function. In order to determine this, we need to calculate the limit of the function when x approaches infinity. We have:
[tex]\lim_{x\rightarrow\infty}\frac{4(\infty)^3+6\cdot\infty}{3(\infty)^3-2\cdot\infty+1}=\frac{4}{3}[/tex]The horizontal asymptote exists at y= 4/3. The correct option is C.
Elijah put 2x+3
2
x
+
3
dollars in the bank the first week. The following week he doubled the first week’s savings and put that amount in the bank. The next week, he doubled what was in the bank and put that amount in the bank. He now has $477 in the bank. How much money did he put in the bank the first week?
Elijah put $53 in the Bank in the first week .
In the question ,
it is given that Elijah put (2x+3) in the first week .
In the second week Elijah put double the first week savings
that means second week deposit = 2*(2x+3) = 4x+6
in the third week he doubled the amount that was in the bank ,
which means third week deposit = 2*(first week + second week deposit)
= 2*(2x+3+4x+6)
Also given that total amount in the bank = $477
total amount = first week + second week + third week deposit
substituting the values we get
477 = (2x+3) + (4x+6) + 2*(2x+3+4x+6)
477 = 2x+3+4x+6+4x+6+8x+12
477 = 18x + 27
18x = 477-27
18x = 450
x = 450/18
x = 25
the amount deposited in the first week = 2x+3
= 2(25)+3
= 50+3 = $53
Therefore , Elijah put $53 in the Bank in the first week .
The given question is incomplete , the complete question is
Elijah put 2x+3 dollars in the bank the first week. The following week he doubled the first week’s savings and put that amount in the bank. The next week, he doubled what was in the bank and put that amount in the bank. He now has $477 in the bank. How much money did he put in the bank the first week?
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sarah has 85 and 89 on her first two math 23 tests. what must she get on the third test to have at least 90% test average?Assume three tests and represent the problem with an inequality
The value that Sarah must she get on the third test to have at least 90% test average is represented by the inequality x ≥ 96.
What is an inequality?Inequalities are created through the connection of two expressions. It should be noted that two expressions in an inequality aren't always equal. They are denoted by the symbols ≥ < > ≤.
In this case, Sarah has 85 and 89 on her first two math 23 tests.
Let the third test be represented as x. This will be illustrated as:
(85 + 89 + x) / 3 ≥ 90
Cross multiply
85 + 89 + x ≥ 90 × 3
174 + x ≥ 270
Collect like terms
x ≥ 270 - 174
x ≥ 96
The value is x ≥ 96.
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x + 6Identify the vertical asymptotes of f(x)(1 point)- 9x + 18O x= -6 and x = -3O x= -6 and x = 3oO x = 6 and x = -3O x = 6 and x = 3
So we want to find the vertical asymptotes of the function:
[tex]f(x)=\frac{x+6}{x^2-9x+18}[/tex]Remember that there's a vertical asymptote at points of x where the denominator of the rational function is 0.
So, equal the denominator to zero:
[tex]x^2-9x+18=0[/tex]And solve this equation for x as follows:
We could factor
[tex]\begin{gathered} x^2-9x+18=0 \\ (x-6)(x-3)=0 \end{gathered}[/tex]Now, notice that any of both factors could be zero, so:
[tex]\begin{cases}x-6=0\to x=6 \\ x-3=0\to x=3\end{cases}[/tex]Therefore, the function has vertical asymptotes at x=6 and x=3.
At a local print shop, 10 copies can be made for $4. At this rate, how much would it cost to make 75 copies?
Answer:
$30
Step-by-step explanation:
10 x 7 = 70
7 x 4 = 28
Since it's $4 to make 10 copies, it'll be $2 to make 5
28 + 2 = 30
$30 for 75 copies (a bad deal honestly)
Please mark Brainliest!!
Answer:
$30 dollars for 75 copies
Step-by-step explanation:
What we know:
$4 for every 10 copies.
How to figure out:
Divide 4/10 = .4 .4 is the cost per copy.
We do this because if it is 4 dollars per 10 copies, then we have to figure out the cost per copy. So we have to do how many dollars goes into each copy.
Now we know the cost of one copy we can multiply the amount of copies we need by the price of one.
75 x 0.4 = 30 30 is the price of 75 copies.
Find the equation to the line below.y =[?-x ++ [ ]
Note that a line whose equation is in the form :
[tex]y=mx+b[/tex]has a slope of m
and a y-intercept of b
Slope is also equal to rise/run :
[tex]m=\frac{\text{rise}}{\text{run}}[/tex]where rise is the number of vertical units between two points and run is the number of horizontal units between two points.
Note also that upward and right movement is positive, downward and left movement is negative.
From the figure, the vertical units between two given points is 3 units upward, so this is positive.
The horizontal units between them is 2 units to the right which is also positive.
The slope will be :
[tex]m=\frac{\text{rise}}{\text{run}}=\frac{3}{2}[/tex]Next is to solve for b (y intercept).
y-intercept is the point where the line intersects the y-axis.
From the graph, the lines intersects at point (0, 2) on the y-axis
Therefore, the value of b is 2
Rewriting the equation, the answer is :
[tex]\begin{gathered} y=mx+b \\ y=\frac{3}{2}x+2 \end{gathered}[/tex]Emily estimated that there were
315 students at a soccer game.
The actual number of students at
the game was 350. What was the
percent error of her estimate?
I thought it was 8%. Please show your work, and maybe tell me why I was right or wrong? Thank you!
The percentage error in the measurement of the number of student at the soccer game. given that 315 student was estimated and 350 student were actually at the game is 10%
What is a percentage error?The percentage error is the measure of the difference between an actual value and a estimate given as a percentage.
The percentage error of her estimate is found from the percentage error formula, as follows;
[tex]\delta = \dfrac{v_A - v_E}{v_E} \times 100\%[/tex]Where:
δv=The percentage error
[tex]v_A[/tex] = The approximate value or estimated value = 315
[tex]v_E[/tex] = The exact or correct value = 350
Therefore; [tex]\delta = \dfrac{|315 - 350|}{350} \times 100\%= 10\%[/tex]
The percentage error of her estimate is 10%
The method and information used in calculating the percentage error determines the value of the error in percentage, however, based on the values of estimated value of 315, and the actual value of 350, the percentage error is 10%
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A shipping box has a volume of 1,000 cubic inches. What is the length of one side of the box?
The length of one side of the box is 10 inches.
How to find the volume of a cube?Suppose that: The side length of the considered cube is L units.
Then, we get the Volume of that cube = L³ cubic units.
The volume of a cube is of the form V = L³, where L is the side length.
Given that the shipping box has a volume of 1,000 cubic inches.
Here, we know the volume V, but not the measure of length. So, we can plug in the value 1000 for V and solve for L:
1000 = L³
Cube root both sides:
L = [tex]\sqrt[3]{1000}[/tex]
Therefore, each side is 10 inches.
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can anyone help on this
-3+(-17)
Monica deposits $200 into a savings account that pays a simple interest rate of 4.4%. Paul deposits $300 into a savings account that pays a simple interest rate of 3.3%. Monica says that she will earn more interest in 1 year because her interest rate is higher. Is she correct? Justify your response.
Formula of simple interest rate:
[tex]S\mathrm{}I=\frac{P\times R\times T}{100}[/tex]Where,
[tex]\begin{gathered} P=\text{ Principal} \\ R=\text{ Rate} \\ T=\text{ Time} \end{gathered}[/tex]For Monica interest rate is:
[tex]\begin{gathered} S\mathrm{}I\mathrm{}=\frac{200\times4.4\times1}{100} \\ =8.8 \end{gathered}[/tex]For Paul interest rate is:
[tex]\begin{gathered} S\mathrm{}I\mathrm{}=\frac{300\times3.3\times1}{100} \\ =3\times3.3 \\ =9.9 \end{gathered}[/tex]No, Paul interest rate higher then Monic.
provide an appropriate response. the owner of a computer repair shop has determined that their daily revenue has mean $7200 and standard deviation $1200. the daily revenue totals for the next 30 days will be monitored. what is the probability that the mean daily revenue for the next 30 days will be less than $7000?
The probability that the mean daily revenue for the next 30 days will be less than $7000 IS 0.7333
Standard deviation of the sample is equal to the population's Standard Deviation divided by the square root of the sample's item count.
Standard Deviation of the sample = [tex]1200/\sqrt{30} = 219.09[/tex]
SD of the sample is equal to the population's Standard Deviation divided by the square root of the sample's item count.
To reach a result of 300, divide 7500 by the mean of 7200. 300 divided by the sample's SD (219.09) yields a result of 1.37. A z-table search for +1.37 returns a result of 0.9147. Accordingly, there is a 0.9147 percent chance that the average daily revenue over the following 30 days will be less than $7500.
To get a result of -200, divide 7000 by the mean of 7200. Divide -200 by the sample's standard deviation (219.09), and you'll get -0.91. search for -0.91 in a z-table receive a score of 0.1814. The likelihood that the mean daily revenue for the following 30 days would be less than $7000 is therefore 0.1814.
Simply subtract the likelihood that the mean daily revenue is less than $7000 (0.1814) from the likelihood that the mean daily revenue is less than $7500 (0.9147) to arrive at the probability that the mean daily revenue for the upcoming 30 days will be between $7000 and $7500. This yields a result of 0.7333.
There is a 73.33% chance that the average daily income over the following 30 days will be less than $7000.
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same as my last two questions
The intervals to the given function are as follows:
Domain: (-∞,∞).Range: (-∞,∞).Rel. maximums: (1.366, -0.652).Rel. minimums: (-0.366, -5.848) and (2,-1).End behavior: As x -> -∞, f(x) -> ∞, and as x -> ∞, f(x) -> ∞.Inc. intervals: (-0.366, 1.366) U (2, ∞).Dec. intervals: (-∞, -0.366) U (1.366, 2).Domain and rangeDomain: Set of values of the input of the function, hence the values of x in the graph of the function.Range: Set of values of the output of the function, hence the values of y in the graph of the function.This function is defined(values of x) for all real values and also assumes all real values(values of y), hence both the domain and the range are of the function are given by the interval (-∞,∞).
Increasing and decresingFrom the graph, the function is classified as decreasing or increasing according to the direction of movement in the graph, as follows:
Decreasing: Right and down.Increasing: Right and up.Hence the intervals are given as follows:
Increasing: (-0.366, 1.366) U (2, ∞).Decreasing: (-∞, -0.366) U (1.366, 2).Relative maximum and relative minimumThe relative minimum is when the graph of the function changes from decreasing to increasing, hence it is at these two following points:
(-0.366, -5.848) and (2,-1).
The relative maximum is when the function changes from increasing to decreasing, hence it is at this following point:
(1.366, -0.652).
End behaviorThe end behavior of the function is given by the limits of the function when x go to infinity, looking to the left and to the right of the graph of the function, hence:
Left: Moves up, hence as x -> -∞, f(x) -> ∞.Right: Moves up, hence as x -> ∞, f(x) -> ∞.More can be learned about functions at https://brainly.com/question/28949511
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PLEASE HELP! due soon
Answer:
Your answer is 103.2413793103448
Step-by-step explanation:
[tex]29.94[/tex] ÷ [tex]29[/tex] [tex]= 1.032413793103448[/tex]
[tex]1.032413793103448[/tex] × [tex]100 = 103.2413793103448[/tex]
s\\line t find the measure of each angle HELP ME NOWWW
The values of the angles for the two parallel lines will be ∠1 = 115°, ∠2=115°, ∠3=148°, and ∠4 = 148°.
What are lines and angles?Straight lines with little depth or width are present. You will learn about a number of lines, including transversal, intersecting, and perpendicular lines. A figure called an angle is one in which two rays originate from the same point.
Given that the lines s and t are parallel to each other. The values of the different angles will be:-
∠1 = 115° Exterior angle property
∠2 = 115° Vertically opposite angle
The value of angle ∠3 will be calculated by the supplementary angle property.
∠3 = 148°
The value of angle ∠4 is 148 by vertically opposite angle property.
∠4 = 148°
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Robert has 3 black marbles in a bag, along with 5
marbles of other colours. Robert picks a marble from the bag without looking. What is the probability that Robert picks a black marble?
The probability that Robert picks a black marble is 3/8. The result is obtained from the ratio of the number of black marble to all marbles.
What is probability?Probability is a numerical description of how possible an event to happen. Tha value of probability is between 0 to 1. Zero probability means something is impossible to happen. Probability 1 shows certainty.
Probability of an event can be expressed as
P(A) = n(A) / n(S)
Where
P(A) is the probability of an event An(A) is the number of favorable outcomesn(S) is the total number of events in the sample spaceIn case Robert has 3 black marbles and 5 marbles of other colors, then he picks a marble randomly, what is the probability of picking black marble?
Total number of marbles is 3 + 5 = 8.
n(S) = 8
Number of black marble is 3.
n(A) = 3
The probability of picking black marble is
P(A) = n(A) / n(S)
P(A) = 3/8
Hence, the probability that Robert picks a black marble is 3/8.
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9x+3y=-6 rewrite this equation in slope intercept form (y=Mx+b)
Hello I just need help with A and B on my homework I was able to complete C
ANSWERS
a) 58
b) 62.2
EXPLANATION
a) The median is the middle value. It separates the data set in two. To find the median we have to put the data in order, from least to greatest:
[tex]44,49,53,54,58,74,74,74,80[/tex]The number of data is odd, this means that the median will be one of the values of the data set and not a mean between two of them. If there are 9 values, the median is the 5th value - so we have 4 values to the left and 4 values to the right.
The first 4 values are 44,49,53,54, so the median is 58.
b) The mean is the sum of all values of the data set divided by the amount of data:
[tex]\bar{x}=\frac{44+49+53+54+58+74+74+74+80}{9}=\frac{560}{9}=62.2222\ldots[/tex]Rounded to one decimal place, the mean is 62.2
Angle P in Triangle PQR has the same measure as Angle S in Triangle STU. Which other condition is necessary to prove that these triangles are similar?
△PQR is congruent to △STU (△PQR ≅ △STU) under ASA condition using options (B) and (D).
What is the congruency of triangles?Triangle congruence: If all three corresponding sides and all three corresponding angles are equal in size, two triangles are said to be congruent. Slide, rotate, flip, and turn these triangles to create an identical appearance. They are in alignment with one another when moved. Therefore, if all three sides of two triangles are the same, then the triangles are said to be congruent. If we have a side, an angle between the sides, and then another side that is congruent, we know they are congruent. In other words, side, angle, side.So, to prove that △PQR ≅ △STU:
∠P = ∠S (Given)PQ = ST (Option B)∠Q = ∠T (Option D)So, with these three conditions, △PQR ≅ △STU is under ASA condition.
Therefore, △PQR is congruent to △STU (△PQR ≅ △STU) under ASA condition using options (B) and (D).
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pls explain with working out
Answer: 26m
Step-by-step explanation:
The area is 36m^2, the possible measurement that could've worked is 4m for width and 9m for length (4x9=36). Now just do 4+4+9+9 = 26m.
Hope this helped
Let f(x) = 2x + 8, 9(x) = x2 + 2x – 8, and h(x) = 3x - 6. Perform the indicated operation. (Simplify as far as possible.) (h. f)(3) = =
x=3
[tex]\begin{gathered} 6\cdot3^2+12\cdot3-48 \\ 6\cdot9+36-48 \\ 54+36-48=42 \end{gathered}[/tex]What is the answer to the following calculation, rounded to the correct number of significant figures?100.000 g+ 75.0 g
Answer:
175g
Step-by-step explanation:
100.000g+75.0g= 175g
ps. pls give brainliest answer :)
The sum of the numbers 100.000g and 75.0g in expression is 175g.
What are mathematical operations?Calculate the answer using a math operator is referred to as a mathematical operation.
Basic mathematical operations are addition, multiplication, subtraction and division.
The given numbers are,
100.000g and 75.0g
The zeros can be neglected after decimal points,
So the numbers can be written as,
100g and 75g.
To find the required expression, add 100g and 75g.
100g + 75g = 175g.
The required sum of the numbers is 175g.
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(7g - 6) - (-3n - 4) find the difference and show your work. Please this is due tomorrow
Answer:
7g + 3n - 2
Step-by-step explanation:
(7g - 6) - (-3n - 4)
7g - 6 + 3n + 4
7g + 3n - 2
I hope this helps!
Area of circle when r is 14
Answer:
The area is 196π, or 615.752160 when evaluated to 6 decimal places.
Step-by-step explanation:
There is an equation for the area of a circle:
A=π[tex]r^{2}[/tex], Where A is the area and r is the radius. π is π, it is its own number. Plugging in the radius stated we can evaluate:
A=π([tex]14^{2}[/tex])
A=196π
If we write out π and evaluate with an (un)reasonable amount of decimal places:
π≅3.1415926536
A=196×(3.1415926536)
A≅615.752160
Answer:
A = [tex]\pi ^{2}[/tex]
Step-by-step explanation:
A≈615.75
Which operation comes first in the problem below? 4(3.7 +1.23) -12 A. Addition B. Subtraction C. Multiplication D. Division
A. Addition
Explanation
PEMDAS is an acronym for the words parenthesis, exponents, multiplication, division, addition, subtraction. Given two or more operations in a single expression, the order of the letters in PEMDAS tells you what to calculate first, second, third and so on, until the calculation is complete
Step 1
so, firts calculate the parenthesis
[tex]\begin{gathered} 4(3.7+1.23)-12 \\ 4(4.93)-12 \end{gathered}[/tex]
the operation in parenthesis is an addition
i hope this helps you
72.1232 rounded to the nearest thousandth
72.1232 rounded to the nearest thousandth is 72.123.
What does it mean to round to the nearest thousandth?The term "rounding to the nearest thousandth" refers to the practice of rounding any decimal number to the next thousandth value. Thousandth in the decimal system signifies (1/1000) or 0.001. 3.125, for example, is the number 3.1249 rounded to the closest thousandth.
To round it to the closest thousandth, we must focus on the number following this spot - tens of thousandths. This figure will determine whether we round up or round down. "Five and above go up like a bird," as the phrase goes. Therefore, this will give a value of 72.123.
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