Answer:
The 90% confidence interval estimate of the mean annual income of all company presidents is ($579,545, $590,580).
Step-by-step explanation:
The information provided is:
[tex]n=80\\\sigma=30,000\\\bar x=585062.50\\\text{Confidence level} = 90\%[/tex]
The critical value of z for 90% confidence level is, 1.645.
Compute the 90% confidence interval estimate of the mean annual income of all company presidents as follows:
[tex]CI=\bar x\pm z_{\alpha/2}\cdot\frac{\sigma}{\sqrt{n}}\\\\=585062.50\pm 1.645\times\frac{30000}{\sqrt{80}}\\\\=585062.50\pm5517.50\\\\=(579545, 590580)[/tex]
Thus, the 90% confidence interval estimate of the mean annual income of all company presidents is ($579,545, $590,580).
This interval implies that there is 90% probability that the true mean annual income of all company presidents is within this interval.
If (Negative 3) Superscript negative 5 Baseline = StartFraction 1 Over x EndFraction, what is the value of x?
Negative 243
Negative StartFraction 1 Over 243 EndFraction
StartFraction 1 Over 243 EndFraction
243
Answer:
a
;DDDDD
Step-by-step explanation:
Answer:
A -243
Step-by-step explanation:
4.21 in expanded form
Answer:
4.21
Expanded forms can be written like a sentence or stacked for readability as they are here.
Expanded Notation Form:
4.21 =
4
+ 0.2
+ 0.01
Expanded Factors Form:
4.21 =
4 × 1
+ 2 × 0.1
+ 1 × 0.01
Expanded Exponential Form:
4.21 =
4 × 100
+ 2 × 10-1
+ 1 × 10-2
Word Form:
4.21 =
four and twenty-one hundredths
Step-by-step explanation:
rewrite the function f(x)=-2(x-3)^2+7 in the form f(x)=ax^2+bx+c
Answer:
f(x) = -2x² + 12x - 11
General Formulas and Concepts:
Order of Operations: BPEMDAS Expand by FOIL (First Outside Inside Last) Standard Form: f(x) = ax² + bx + c Vertex Form: f(x) = a(bx + c)² + dStep-by-step explanation:
Step 1: Define function
Vertex Form: f(x) = -2(x - 3)² + 7
Step 2: Find Standard Form
Expand by FOILing: f(x) = -2(x² - 6x + 9) + 7Distribute -2: f(x) = -2x² + 12x - 18 + 7Combine like terms (constants): f(x) = -2x² + 12x - 11Help D: PLEASE STAT ON THE DOT
Answer:
Mitch made a mistake in step 1.
Step-by-step explanation:
7.7 = w - 2
Add two to both sides
7.7 + 2 = w - 2 + 2
9.7 = w is the right answer.
I need to know what a slope is and how to determine it.
Key:
m = slope
(x₁, y₁) coordinates of the first, lower point.
(x₂, y₂) coordinates of the second, higher point.
Answer:
In simple terms, slope is how steep a line is.
You can determine slope by:
[tex]\frac{rise}{run}[/tex]Here is the full formula for slope:
[tex]m = \frac{y_{2} - y_{1}}{x_{2} - x_1}[/tex]I've created a little explanatory example below. Please let me now if you have any further questions. I am more than happy to assist you!
~ [tex]InLoveWithPugs[/tex]
Moderator
Math Enthusiast
Which algebraic expression is equivalent to the expression below? 6(3x - 4/3) + 44
A. 18x - 36
B. 18x - 52
C.18x + 52
D.18x + 36
Answer:
D
Step-by-step explanation:
first distribute 6 to get
(18x - 8) +44
combine like terms
18x + 36
Answer: D.) 18x+36
-4/3×6=-8
-8+44=36
6×3x=18x
I hope this is good enough:
What is 0.8/50? But not in division form.
Step-by-step explanation:
0.8=8/10
0.8/50
8/10/50
0.016
If you were looking for it in decimal form than its 0.016 but if I'm wrong let me know and I solve it again.
PLS ANSWER I WILL MARK YOU AS BRAINLIEST IF YOU ANSWER CORRECTLYYY! PLS AND TY! :D
Answer: Kell would be making more money in 19 hours.
Step-by-step explanation:
If you add it up, Kell makes 136$ in only 16 hours but mariko makes 133 in the full 19 hours. Which means that Kell would make more in 19 hours. The total Kell makes in 19 hours is 161.5 and $161.5 > $133. Let me know if you need any more help!
In the slope ratio, the change in the X-coordinates from one point to another on a line is the________.
A. Prortional relationship
B. Slope
C. Rise
D. x2- x1
E. Run
F.y2 - y1
Answer:
A. if not then b.
Step-by-step explanation:
The change in the X - coordinates from one point to another on a line is given by x₂ - x₁ = Δx.
What is ratio?Ratio is the quantitative relation between two amounts showing the number of times one value contains or is contained within the other.In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.We have the change in the X - coordinates from one point to another on a line.
In a slope ratio, the change in the X - coordinates from one point to another on a line can be represented as -
x₂ - x₁ = Δx
Therefore, the change in the X - coordinates from one point to another on a line is given by x₂ - x₁ = Δx.
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vertex,axis of symmetry,maximum or minimum,max or min value,range
Answer:
the axis of symmerty is 4 and vertex is (4,3) correct me if i am wrong and you can use desmos to help you it is a graphing calculator
Step-by-step explanation:
Store A sells 3 candy bars for $3.45.
Store B charges $5.45 for 5 candy bars.
Store C sells 7 candy bars for $7.56.
Which store offers the best value?
Answer:
store C
Step-by-step explanation:
if you divide 7.56 by 7 it'll be $1.08 per candy bar.
The table shows the outcomes and probabilities for a spinner game.
Which statement is true?
A. On average, players lose $0.50 per game.
B. Every player loses $0.50 per game.
C. On average, players lose $2.40 per game.
Answer: on average, players lose $.50 per game
Step-by-step explanation: i just took the test and got a 100!!!
Answer:
On average, players lose $0.50 per game.
Step-by-step explanation:
Got it right on the test.
Determine if the product CA is defined. If the product is defined, state its dimensions. Do not calculate the product.
Answer:
The product can be calculated.
The resulting matrix will have 3 rows and 3 columns.
Step-by-step explanation:
Matrix multiplication
To find the product of two matrices is only possible when the number of columns of the first matrix is equal to the number of rows of the second matrix.
If X is the first matrix with dimensions (n x m) and Y is the second matrix with dimensions (m x p), the product XY is possible and the dimensions of the resulting matrix are (n x p).
Matrix A has two rows and three columns (2x3)
Matric C has three rows and two columns (3x2)
If we wanted to calculate the product CA, the number of columns of C must be equal to the number of rows of A.
Since both numbers are 2, the product can be calculated.
The resulting matrix will have 3 rows and 3 columns.
What is the slope of the line that passes through the following points? (5,0) and (9,12) PLEASE HELP
Answer:
x+3y=15
Step-by-step explanation:
your slope is 3 because there are 3 dots in between the points if it were on a graph
A rectangular playground has dimensions and area as shown below.
Complete the work to find the dimensions of the rectangle.
x(4x + 5) = 450
4x2 + 5x = 450
4x2 + 5x – 450 = 0
(4x + 45)(x – 10) = 0
The rectangle has a width, x, of
, and a length of
.
9514 1404 393
Answer:
x = 10width = 10length = 45Step-by-step explanation:
The remaining work is to identify the values of x that make the factors zero:
4x +45 = 0
x = -45/4 . . . . negative dimensions are not useful
x -10 = 0
x = 10
The width is x, so the width is 10.
The length is 4x+5, so the length is 4·10+5 = 45.
The rectangle has a width, x, of 10 and a length of 45.
Alice was trying to solve the equation 4x + 21 = 7x -12. In one of her steps Alice thinks she made a mistake and got the wrong answer. If she made a mistake, what step did Alice make a mistake? Step 1: 4x + 21 = 7x -12 Rewrite the equation Step 2: 4x -7x +21 = 7x -7x -12 Inverse Operation Step 3: -3x +21 -21 = -12 +21 Inverse Operation Step 4: -3x = 9 Solve with Inverse Operation Step 5: x = -3
In third step Alice want to add+21 on both sides but she mistakenly subtract 21 in left side that's why Alice got wrong answer
WRIGHT ANSWER
4x+21=7x-12
4x-7x+21=7x-7x-12
-3x+21+21= -12+21
-3x+42=9
-3x=9-42
-3x=-33
x=11
A homeowner has $360 to spend on building a fence around a rectangular garden. Three sides of the fence will be constructed with wire fencing at a cost of $2 per foot. The fourth side is to be constructed with wood fencing at a cost of $6 per foot. Find the dimensions of the rectangle that will maximize the area of the rectangle.
Answer:
The width is 22.5 feet and the length 45 feet.
Step-by-step explanation:
Let l represent the length of the rectangle and w represent the width of the rectangle. The cost of the fence (C) is:
C = 2l + 2w + 2l + 6w
C = 4l + 8w
360 = 4l + 8w
360 = 4(l + 2w)
90 = l + 2w
l = 90 - 2w
Area (A) of rectangle = length * width
A = l * w
Put l = 90 - 2w
A = (90 - 2w)w
A = 90w - 2w²
The maximum area is at A' = 0, hence:
Differentiating gives:
A' = 90 - 4w
Put A' = 0
0 = 90 - 4w
4w = 90
w = 22.5 feet
l = 90 - 2w = 90 - 2(22.5) = 45 feet
Hence the width is 22.5 feet and the length 45 feet.
Dwayne is trying to find the fraction represented by the repeating decimal 0.5. He completes the three steps shown:
1) Let x = 0.5
2) 10x = 5.5
3) 10x = 5.5
-x = 0.5
________
9x=5
what is the fraction equivalent of 0.5?
A. 9/5
B.4/9
C. 5/9
D. 5/13
Answer:
C. 5/9Step-by-step explanation:
Three steps given end with:
9x = 5The next step is, divide both sides by 9:
x = 5/9Correct answer option:
C. 5/9Answer:
C. 5/9
Step-by-step explanation:
10x = 5.5
-x = 0.5
9x = 5
x = 5/9
therefore, the answer is C. 5/9
The midpoint of AB is at (3, 2) . If A = (4, 8) , find b
B is:( , )
Answer:
B (2,-4)
Step-by-step explanation:
Given that f(x) = x – 2 and g(x) = x2 + 3x – 4, find (f – g)(x). Question 1 options:A. (f – g)(x) = –x2 –2x + 2 B.(f – g)(x) = x2+ 2x – 4 C. (f – g)(x) = –x2+ 4x – 6 D. (f – g)(x) = x2+ 4x + 6
Answer:
A
Step-by-step explanation:
[tex](f-g)(x)=f(x)-g(x)\\=(x-2)-(x^2+3x-4)\\=x-2-x^2-3x+4\\=-x^2-4x+2\\[/tex]
Therefore, answer is A.
Answer:
Step-by-step explanation:
Algebra II: Part 2 James Madison
Your quiz has been submitted successfully. 100%
Question 1 5 / 5 points
Given that f(x) = x – 2 and g(x) = x2 + 3x – 4, find (f – g)(x).
A: (f – g)(x) = –x2 –2x + 2
Question 2 5 / 5 points
Given that f(x) = x + 4 and g(x) = x + 7, find (g – f)(x).
A: (g – f)(x) = 3
Question 3 5 / 5 points
Let f(x) = 4x – 1 and g(x) = 2x. Find (f ∘ g)(–5).
A: (f ∘ g)( – 5) = –41
Question 4 5 / 5 points
Which of the following is the inverse relation of the set below?
A: {(3,–2), (–4,7), (7,3), (4,8)}
Question 5 5 / 5 points
What is the inverse of f(x) = 2x2 –4?
A: y = ±x+24−−−√
Question 6 5 / 5 points
Which of the following function pairs are inverses?
A: f(x) = 2x – 3 and g(x) =x+32
Question 7 5 / 5 points
Which of the following is true?
A: The horizontal line test is used to determine if a function's inverse will be a function.
Question 8 5 / 5 points
Evaluate81−−√4
A: 3
Question 9 5 / 5 points
Evaluate 1251⁄3.
A: 5
Question 10 5 / 5 points
Use the properties of exponents to simplify the expression 2(x13)65⋅y23.
A: 2x25⋅y23
Question 11 5 / 5 points
A population culture begins with 15 strands of bacteria and then doubles every 4 hours. This can be modeled as 15(2)t4, where t is time in hours. How many strands of bacteria are present at 12 hours?
A: 120 strands of bacteria
Question 12 5 / 5 points
Simplify 36√3√.
A: 23–√
Question 13 5 / 5 points
Simplify 73–√+12−−√−75−−√.
A: 43–√
Question 14 5 / 5 points
Simplify 2–√×22–√.
A: 4
Question 15 5 / 5 points
Simplify 83−−√.
A: 26√3
Question 16 5 / 5 points
Select the equation of the function shown in the graph.
A: f(x)=2x−−√4−5
Question 17 5 / 5 points
Identify the graph of f(x)=x−2−−−−√3−3.
t would not allow me to add the graft. But it is the answer with the line that goes all the way across the graft starting at -10 thru -4.5 and up to 10. The line looks like an "S"
Question 18 5 / 5 points
Identify the graph of f(x)=6x−−√4−1.
It would not allow me to add the graft. But it is -1 up to the right to about 9.5. Document uploaded
Question 19 5 / 5 points
Select the equation of the function shown in the graph.
A: f(x)=x−1−−−−√5+5
Question 20 5 / 5 points
Solve the inequality x+2−−−−√4>2.
A: x>14
Question 21 5 / 5 points
Solve the inequality −2x−−−−√−1<3.
A: −8<x≤0
Question 22 5 / 5 points
Solve the equation 2x−1−−−−−√=5.
A: x = 13
Question 23 5 / 5 points
Solve the equation x+1−−−−√+5=3.
A: There is no solution.
Question 24 5 / 5 points
Given thatf(x)=4x3x+3−−−−−√ and g(x)=2x+1−−−−√, find (fg)(x).
A: 2x3–√
Karina pays $2.64 for pencil erasers. The erasers cost 0.11 each. how many erasers did she buy?
Answer:
She bought 24 erasers
Step-by-step explanation:
$2.64 ÷0.11=24
Answer: Karina bought 24 erasers.
Step-by-step explanation:
$2.64 ÷ 0.11 = 24 erasers
What decimal is equivalent to 21% ?
HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Raman and Raj go for a party each having Rs. 100, If they decide to expend Rs. 150, Then in how many ways they can make the payment
Answer:
only 1 way
Step-by-step explanation:
both of them give their Rs.100 so now it's Rs.200 so pay RS 200 and they'll get Rs 50 as the remain
The number of ways of spending Rs. 150 will be 3.
What are permutation and combination?Combination and permutation are two different ways of grouping elements of a set into subsets in mathematics. The elements of the subset can be listed in any order in a combination. The elements of the subset are listed in a specific order in a permutation.
Given that Raman and Raj go to a party each having Rs. 100, If they decide to expend Rs. 150.
The number of the spending will be calculated as,
Raman + Raj = 150
100 + 50 = 150
50 + 100 = 150
75 + 75 = 150
The number of ways will be three.
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What are the measures of angles B and C?
Figure ABCD is a parallelogram.
A.B = 15°; C = 165°
B.B = 65°; C = 115°
C.B = 65°; 2C = 65°
D.B = 15°; C = 15°
For the given parallelogram, the measure of angle B is 65° and the measure of angle D is 65°. The answer is the third option.
QuadrilateralsThere are different types of quadrilaterals, for example: square, rectangle, rhombus, trapezoid and parallelogram. Each type is defined accordingly to its length of sides and angles. For example, for a parallelogram, its the opposite sides are equal and parallel. For a parallelogram is noted too that the opposite angles are equal.
The question gives the values of the angle B and D in function of n.
Therefore, considering that the opposite angles of the parallelogram (ABCD) are equal, so D=B. Thus,
6n-25=3n+20
6n-3n=20+25
3n=45
n=15°
Replacing the value of n in each angle (B and D). Then,
D=6n-25= 6*15-25= 90-25= 65°
B=3n+20= 3*15+20= 45+20 = 65°
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What is 45.3*4 equal please help me
Answer:
45.3 times 4 equals 181.2
Step-by-step explanation:
Answer:
181.2
Step-by-step explanation:
2 1
45.3
* 4
_____
181.2
Multiplication.
help please fill out empty spots
Answer:
See the attached image below for the filled out chart.
First box = 0.1Second box = 0.1Third box = 4Fourth box = -3Fifth box = 3Sixth box = -1===================================================
Explanation:
Part 1
Pick any term and subtract off its previous term
So for instance 4.2 - 4.1 = 0.1
Or you could say 4.3-4.2 = 0.1
Whichever pair you pick, you should find that the common difference is 0.1
This means we add 0.1 to each term to get the next term. Therefore, the recursive rule is [tex]a_n = a_{n-1} + 0.1[/tex] which says "add 0.1 to the (n-1)th term to get the nth term". The (n-1)th term is the term just before the nth term.
The first term is [tex]a_1 = 4[/tex] as shown in the given sequence 4, 4.1, 4.2, ...
------------------------------
Part 2
We'll follow the same idea as part 1.
Subtract any two adjacent terms
-10-(-7) = -10+7 = -3
We add -3 to each term to get the next. This is the same as subtracting 3 from each term, which is reflected in [tex]a_n = a_{n-1}-3[/tex]
The first term is [tex]a_1 = -1[/tex]
Everything is summarized in the diagram below.
A local charity is selling seats to a baseball game. Seats cost $20 each, and snacks cost an additional $5 each.
The charity needs to raise $400 to consider this event a success. Choose the linear equation that describes the
problem.
Answer:
let seat as x,
and snack as y.
so the linear equation is 20x+5y=400.
Solve the equation using the distributive property and properties of equality.
Negative 5 (a + 3) = negative 55
What is the value of a?
11
Step-by-step explanation:
55 divide 5 = 11
11 + 3 = 15
5 × 11 = 55
Answer:
A = 8
Step-by-step explanation:
-5(a+3)=-55
-5a-15=
-55-5a=
-40-40/-5=8
a=8
18
=
4
Convert the improper fraction to a mixed number.
Answer:
[tex]4\frac{1}{2}[/tex]
Step-by-step explanation:
In order to find the answer to this question you have to divide the numerator by the denominator.
[tex]\frac{18}{4}[/tex]
[tex]4\times4=16[/tex]
[tex]18\div4=4^2[/tex]
[tex]4\frac{2}{4}[/tex]
Reduce:
[tex]2\div2=1[/tex]
[tex]4\div2=2[/tex]
[tex]=4\frac{1}{2}[/tex]
Hope this helps.
Samuel left his house at time zero and drove to the store, which is 10 blocks away, at a speed of 2 blocks per minute. Then he stopped and went into the store for 7 minutes. From there, he drove in the same direction at a speed of block per minute until he got to the bank, which is 2 blocks away from the store. He stopped at the bank for 3 minutesThen he drove home at a speed of blocks every minuteMake a graph of showing the number of blocks away from home that Samuel is minutes after he leaves his house, until he gets back home.
Answer:
Attachment given answer
Step-by-step explanation:
I gave you the answer but if you have any questions let me know.
