The weights that are significantly low z₁ = 5.361308 grams and significantly high z₂ = 5.48057 grams
What is Z -score?A Z-score is defined as the fractional representation of data point to the mean using standard deviations.
z -score = (z₁ - μ₀) / σ
where μ₀ is the mean and σ the standard deviation.
Consider a value to be significantly low if its z score is less than or equal to -2 or consider a value to be significantly high if its z score is greater than or equal to 2.
Here μ₀ = 5,37215 and σ = 0.05421
Substitute z -score = -2
⇒ -2 = (z₁ - 5,37215)/0.05421
⇒ (-2)(0.05421) = z₁ - 5.37215
⇒ -0.10842 = z₁ - 5.37215
⇒ z₁ = 5.37215 - 0.010842
⇒ z₁ = 5.361308
And if z = 2
Here μ₀ = 5,37215 and σ = 0.05421
Substitute z -score = 2
⇒ 2(0.05421) = z₂ - 5.37215
⇒ 0.10842 = z₂ - 5.37215
⇒z₂ = 5.37215 + 0.10842
⇒ z₂ = 5.48057
Therefore, the weights that are significantly low z₁ = 5.361308 grams and significantly high z₂ = 5.48057 grams
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Your question is incomplete, probably the complete question is:
A data set lists the weights (grams) of a type of coin. Those weights have a mean of 5.37215 g and a standard deviation of .05421 g. Identify the weights that are significantly low or significantly high.
Consider a value to be significantly low if its z score is less than or equal to -2 or consider a value to be significantly high if its z score is greater than or equal to 2.
Suppose a vector y is orthogonal to vectors u and v. show that y is orthogonal to the vector u v.
Using Dot product
Two vectors x and y are said to be orthogonal if their dot product is zero
⇒ x.y = 0
This is because orthogonal vectors are make an angle of 90° with each other and therefore θ becomes 90°
Dot product is given by :
x.y = x*y*cosθ = xycos90°
∵cos90° is zero , x.y=0 for orthogonal vectors.
Let u,v,y be vectors in R
y is orthogonal to u and v
⇒ y.u = 0 and y.v=0
Now, we have to prove that y is orthogonal to (u+v)
The dot product of these vectors is given by:
y.(u+v) = y.u + y.v (Dot product is distributive) = 0 + 0 = 0
∵The dot product is zero , vector y and (u+v) are orthogonal
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. Use Structure is the product the same
when multiplying 22 x (-5) and multiplying
(-5) x 22? Explain.
Answer:
Yes.
Step-by-step explanation:
Let's say a=22 and b=-5
According to the Commutative Property of Multiplication, a*b=b*a. Hence, 22*(-5)=(-5)*22.
22*(-5)=
-(22*5)=-110
(-5)*22=
-(5*22)=-110
-110=-110 √
what is a mediannnn please help
Answer:
The middle number in a set of numbers.
Step-by-step explanation:
For example, if I have a set of numbers like 5,6,3,7,9
3 would be the median because it is in the middle.
I hope I helped!!
(-1)^{3}]^{6} find the value of
The value of Exponent [tex](-1^{3}) ^{6}[/tex] is 1
Exponent:
A number's exponent indicates how many times we multiply a number by itself. For example, [tex]3^{4}[/tex] indicates that we have multiplied 3 four times. The expanded form is 3×3×3×3. An exponent is also known as a number's power. It can be an integer, a fraction, a negative number, or decimals.
Law of Power of a Power: [tex](x^{a}) ^{b}[/tex]=[tex]x^{ab}[/tex] {Here a,b can be an integer, a fraction, a negative number, or decimals}
Given question is [tex](-1^{3}) ^{6}[/tex]
⇒[tex](-1^{3}) ^{6}[/tex]=[tex](-1)^{6.3}[/tex]{ using Law of Power of a Power}
⇒[tex](-1)^{18}[/tex]=1 { -1 raised any even number= positive one}
Therefore,The value of Exponent [tex](-1^{3}) ^{6}[/tex] is 1
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The start of an arithmetic sequence is
16, 19, 22, 25, ...
The rule for the sequence can be written in the
form xn = cn +d, where c and d are
numbers.
a) By first calculating the values of c and d,
work out the rule for the sequence.
b) What is the value of x11?
a) If the [tex]n[/tex]-th term is [tex]x_n = cn+d[/tex], then
[tex]x_1 = c + d = 16[/tex]
[tex]x_2 = 2c + d = 19[/tex]
Eliminating [tex]d[/tex],
[tex](2c+d) - (c+d) = 19-16 \implies c = 3[/tex]
Solving for [tex]d[/tex],
[tex]3 + d = 16 \implies d = 13[/tex]
Then
[tex]\boxed{x_n = 3n + 13}[/tex]
b) When [tex]n=11[/tex], we get
[tex]x_{11} = 3\cdot11 + 13 = \boxed{46}[/tex]
find a formula for the general term an of the sequence, assuming that the pattern of the first few terms continuesm8, 0, 8, 0,
The formula for the general term and of the sequence is ±8.
What do we mean by sequence?A sequence in mathematics is an enumerated collection of objects in which repetitions are permitted and order is important. It, like a set, has members (also called elements, or terms). The length of the sequence is defined as the number of elements (which could be infinite). Unlike a set, the same elements can appear multiple times in a sequence at different positions, and the order does matter. Formally, a sequence can be defined as a function from natural numbers (the sequence's positions) to the elements at each position. The concept of a sequence can be expanded to include an indexed family, which is defined as a function from an index set that may or may not is numbered to another set of elements.To find the formula for the given sequence:
Given sequence: 8, 0, 8, 0, So, the formula cen be ±8.+8 to get the terms of odd numbers and -8 to get the terms of even numbers.Therefore, the formula for the general term and of the sequence is ±8.
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Givien h(x) = -x- 5, find h(-6)
Answer:
h(-6) = 1
Step-by-step explanation:
Hello!
Substitute -6 for x in the equation.
Evaluateh(x) = -x - 5h(-6) = -(-6) - 5h(-6) = 6 - 5h(-6) = 1h(-6) is 1.
Will give brainliest.
Answer:
Option 3
Step-by-step explanation:
First tke lcm i.e. 6 then multiply the dinominator to make six.
Multiply tje above no. With the same digit the sub. The numerators
Answer:
c) 7/6
Step-by-step explanation:
The difference will be,
→ (5/3) - (1/2)
→ (10/6) - (3/6)
→ (10 - 3)/6
→ 7/6
So, the answer is 7/6.
Vaca books has a net profit margin of 5.1 percent, a total asset turnover of 1.84, and a return on equity of 16.2 percent. what is the debt-equity ratio?
The debt-equity ratio is 0.726 : 1 or 72.64%
What is the Debt?Debt is the product of debt ratio and total equity
Debt = debt ratio × total equity
We have been given that
Asset turnover = 1.84
Profit margin = 5.1%
Return on equity of 16.2 percent
Let we have to assume that sales are $100.
Therefore net Income = 100×0.051 = 5.1
Total Assets = 100/0.84
Total Assets = 54.35
⇒ 0.162 = 5.1 / Total equity
⇒ Total Equity = 5.1 / 0.162
⇒ Total Equity = 31.48
Total assets = Total debt + Total equity
⇒ 54.35 = Total debt + 31.48
⇒ Total debt = 54.35 - 31.48
⇒ Total debt = 22.87
The debt-equity ratio = 22.87 / 31.48
The debt-equity ratio = 0.72649 : 1 or 72.649%
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Please Help!!
Complete the conjecture based on the pattern you observe in the examples below
1) Conjecture: The sum of any two odd numbers is…
1+1=2
1+5=6
7+9=16
9+11=20
13+21=34
101+103=204
2) Conjecture: The product of any two odd numbers is…
1*1=1
1*5=6
7*9=16
9*11=20
13*21=34
101*103=204
3) Conjecture: The product of a number (x-1) and the number (x+1) is always equal to…
3*5=4^2-1
4*6=5^2-1
5*7=6^2-1
7*9=8^2-1
8*10=9^2-1
Answer:
Hello,
Step-by-step explanation:
1) Conjecture: The sum of any two odd numbers is even
(2a+1)+(2b+1)=2a+2b+2=2(a+b+1) is even
2) Conjecture: The product of any two odd numbers is ODD
(2a+1)*(2b+1)=4ab+2b+2a+1=2(2ab+a+b)+1 is ODD
1*1=1
1*5=5
7*9=63
9*11=99
13*21=273
3) Conjecture: The product of a number (x-1) and the number (x+1) is always equal to the difference of the square of x between 1
(x-1)(x+1)=x²-x+x-1=x²-1
misha is the 50th best as well as the 50th worst student in her grade. how many students are in misha's grade?
There are 99 students in Misha's grade.
What do we mean by Venn diagrams?A Venn diagram is a popular diagram style that shows the logical relationship between sets. It was popularized in the 1880s by John Venn (1834-1923). The diagrams are used in probability, logic, statistics, linguistics, and computer science to teach elementary set theory and to illustrate simple set relationships. To represent sets, a Venn diagram employs simple closed curves drawn on a plane. These curves are frequently circles or ellipses.So,
We'll make a Venn diagram (consider the diagram given below).Misha is common in both groups.According to the diagram, 49 + 49 + 1 = 99.Therefore, there are 99 students in Misha's grade.
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Write an equation representing the fact that the product of two consecutive odd integers is 255. use x to represent the smaller integer.
The first odd number = 15
The second is then = 17
The Consecutive numbers are:Consecutive numbers are those that appear consecutively after one another in the range of smallest to largest. An illustration would be the sequence of numbers 1, 2, 3, 4, 5, and so on.
Where can I find consecutive numbers?Let x be the first of the following numbers to represent it algebraically. Following that, the numbers x + 1, x + 2, and x + 3 would be arranged in order. You must make sure that your first selection is an even number if the question requires consecutive even numbers.
According to the given information:We can employ the expression "2n," where n is any integer, to ensure that the result is even. By using the expression "2n + 1," we can ensure an odd number.
"2n + 3" will be the following odd number:
(2n + 1)(2n + 3) is the component of the odd integers, and it equals 255:
(2n + 1)(2n + 3) = 255
4n2 + 8n + 3 = 255
4n2 + 8n - 252 = 0
n2 + 2n - 63 = 0
(n + 9)(n -7) = 0
n = -9 and n = 7
We can disregard n = -9 because we are informed that the figures must be positive.
If n = 7,
The first odd number = 2(7) + 1 = 15
The second is then 17
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I understand that the question you are looking for is:
The product of 2 positive, consecutive odd numbers is 255 .
Part A: Write a quadratic equation in standard form to represent this problem
Part B: What are the 2 numbers?
Part C: Show your work for Part B.
Bombonica s-a gândit la un număr, i-a adăugat 74, rezultatul obţinut l-a mărit de 10 ori, iar din
noul rezultat a luat de 7 ori câte 86 şi a obţinut 318, număr care reprezenta numărul zilelor de când
fusese răpit împăratul. La ce număr s-a gândit?
[tex]x + 74 \cdot 10 - (7 \cdot 86) = 318[/tex]
[tex]x+74\cdot \:10-7\cdot \:86=318[/tex]
[tex]x+740-7\cdot \:86=318[/tex]
[tex]x+740-602=318[/tex]
[tex]x+138=318[/tex]
[tex]x = 318 - 138 = 80[/tex]
Imparatul s-a gandit la numarul 80.
i don’t understand this i already tried but got 1.25 bad i’m pretty sure it’s wrong
Answer:
Smallest integer=14
Step-by-step explanation:
(x+x+2+x+4+x+6)/4=17
(4x+12)/4=17
4x+12=68
4x=68-12
4x=56
x=56/4
x=14
numbers are: 14, 16, 18, 20
SOLVE ALL OF THESE AND NUMBER THEM ON WHAT QUESTION THE ANSWER IS FOR
Marcus owes Abdullah
$10. He also owes
$5 to Mariyah. Which
integer represents
Marcus' finances?
A. -15
B. -5
C. 5
D. 15
Question 4 A woman borrowed $2,000,000.00 from bank at a rate of 15% per annum simple interest for 2 years. a) Find i) the interest for the 2 years; how much she paid in all to the after the 2 years. ii) b) She used the $2,000,000.00 to purch fridge and sold it at a profit of 45%.Find the selling price of the fridge.
Part i) Simple interest = $600,000.00.
Part ii) Selling price = $2,900,000.00.
What is defined as the simple interest?Simple interest is a simple and quick method to approximate the interest on a loan. Simple interest is calculated by multiplying this same daily interest rate by the principal multiplied by the number of days between payments.Part i) The formula for simple interest is;
SI = PRT/ 100
P = principal amount = $2,000,000.00.
R = rate of interest = 15%
T = time in years = 2 years.
Put the value in the formula;
SI = ( $2,000,000 × 2 × 15)/100
On simplification;
SI = 600,000
Thus, the simple interest at the end of 2 years is $600,000.oo
Part ii) the selling price
Selling price = cost price + profit
Selling price = cost price + 45%of cost price
Cost price = $2,000,000.00
45%of cost price = 45× $2,000,000.00/100
45%of cost price = 900,000.00
Selling price = $2,000,000.00 + 900,000.00
Selling price = $2,900,000.00.
The the selling price of the fridge is found as $2,900,000.00.
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-(16 - 5x) simplified
Answer:
5x-16
Step-by-step explanation:
-(16 - 5x)
Use distributive property to open parenthesis.
-(16 - 5x)=
=(-1*16)+(-1*-5x)=
=(-16)+(5x)=
=5x-16
Finding x.
5x-16=0
5x=16
x=3.2
Hope this helps!
Please mark as brainliest if correct!
Which exponential function bests models the graph below?
A.
B.
C.
D.
D.
Help I need some help due tomorrow
Answer:
Angle 1: 141 degrees
Angle 2: 39 degrees
Angle 3: 141 degrees
Step-by-step explanation:
Angle 2 and Angle 4 are equal since they are vertical angles. This means that Angle 2 is equal to 39 degrees.
Angle 1 and Angle 4 add up to 180 degrees. We call these supplementary angles. This means that Angle 1 is equal to 180-39=141 degrees.
Angle 1 and Angle 3 are vertical angles, so Angle 3 is also equal to 141 degrees.
Question 6(Multiple Choice Worth 2 points)
(Irrational Numbers MC)
Approximate 7+√40 to the nearest hundredth.
Answer:
13.32
Step-by-step explanation:
7 + 2 [tex]\sqrt{10}[/tex]
= 13.32456
Rounded to nearest hundredth = 13.32
How do I simplify this?
A startup sports public relations company is looking to grow. They currently represent 2 clients and plan on representing 3 additional clients each year. The following graph can be used to help determine the number of clients, y, the company will have after x years.
ased on the context, what is the range of the function?
[0, ∞)
[2, ∞)
[−7, 7]
ℝ
Based on the context, the range of this function is given by: C. [−7, 7]
What is a range?A range can be defined as the set of all real numbers that connects with the elements of a domain. This ultimately implies that, a range refers to the set of all possible output numerical values, which are shown on the y-axis of a graph.
How to identify the range of this graph?The vertical extent of a graph represents all range values and they are always read and written from smaller to larger numerical values, and from the bottom of the graph to the top.
By critically observing the graph of function f(x) shown, we can infer and logically deduce the following:
Range = [−7, 7]
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what is the fraction form of 10.0833333... repeating
What is 10.0833333 as a fraction?
To write 10.0833333 as a fraction you have to write 10.0833333 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.
10.0833333 = 10.0833333/1 = 100.833333/10 = 1008.33333/100 = 10083.3333/1000 = 100833.333/10000 = 1008333.33/100000 = 10083333.3/1000000 = 100833333/10000000
And finally we have:
10.0833333 as a fraction equals 100833333/10000000
Question 2(Multiple Choice Worth 1 points)
(01.01 LC)
Evaluate the expression 5(7-4)2 = 3 + 11.
03
14
026
33
26 is the right answer .
Given expression 5(7 - 4)² ÷ 3 + 11.
BODMAS rule is an acronym that is used to remember the order of operations to be followed while solving expressions in mathematics. It stands for B - Brackets, O - Order of powers or roots, D - Division, M - Multiplication, A - Addition, and S - Subtraction. It means that expressions having multiple operators need to be simplified from left to right in this order only. First, we solve brackets, then powers or roots, then division or multiplication (whichever comes first from the left side of the expression), and then finally, subtraction or addition, whichever comes on the left side.
Using the BODMAS rule, we solve bracket first,
5(3)² ÷ 3 + 11
45 ÷ 3 + 11
= 15 + 11
= 26
after evaluate the expression we get 26 as answer.
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The midpoint of AB is M (0, -4). If the coordinates of A are (2, -1), what are the
coordinates of B?
Answer: B(-2,-7)
Step-by-step explanation:
[tex]\displaystyle\\M(x_M,y_M)=(\frac{x_A+x_B}{2},\frac{y_A+y_B}{2}) \\\\x_A=2\ \ \ \ x_M=0\ \ \ \ y_A=-1\ \ \ \ y_M=-4\\\\x_M=\frac{x_A+x_B}{2} \\\\Multiply\ both\ parts\ of \ the \ equation\ by\ 2:\\2x_M=x_A+x_B\\\\\Rightarrow\ x_B=2x_M-x_A\\\Rightarrow \ x_B=2(0)-2\\\Rightarrow\ x_B=0-2\\\Rightarrow\ x_B=-2\\Similarly,\\y_B=2y_M-y_A\\y_B=2(-4)-(-1)1\\y_B=-8+1\\y_B=-7\\Thus,\\B(-2,-7)[/tex]
In the figure below, m4=96°. Find mZ1, mZ2, and mZ 3.
The answer is m∠1 = 84°
Step-by-step explanation:
m∠4 = m∠2 so m∠2 = 96°
m∠1 + m∠2 = 360 - m∠4 - m∠2
m∠1 + m∠2 = 360 - 96 - 96
m∠1 + m∠2 = 168
m∠1 = 168/2
m∠1 = 84°
Which number is greater,
23
×
10
3
or
11
×
10
4
? How do you know? Show your work and explain your steps.
Answer:
Answer: 11x10^4 is greater. Step-by-step explanation: 23x10^3 = 23x10x10x10 = 23000. 11x10^4 = 11x10x10x10x10 = 110000. 110000 is greater than 23000.
Step-by-step explanation:
cos
Find the sum of (8.6 x 106) and (3.7 x 105). Write the final answer in scientific notation.
8.97 x 105
8.97 x 106
1.23 x 1010
12.3 x 1011
Answer:
8.97 x [tex]10^{6}[/tex]
Step-by-step explanation:
To add in scientific notation, the exponents need to be the same for the bases of 10. You can either make them both to the exponent of 6 or 5. It does not matter. I made them both to the power of 5
(8.6 x [tex]10^{6}[/tex]) + (3.7 x [tex]10^{5}[/tex])
(86 x [tex]10^{5}[/tex]) + (3.7x[tex]10^{5}[/tex])
(86 x 3.7) x [tex]10^{5}[/tex]
89.7 x[tex]10^{5}[/tex] Rewrite in scientific notation
8.97 x [tex]10^{6}[/tex]
Find the linear function represented by the graph.
The slope of the line is
.
The y-intercept of the line is at
.
What linear function is represented by the graph?
Step-by-step explanation:
photo please ......................
Answer:
Step-by-step explanation:
need to see the graph