The value of the digit 9 is ten times as much as the 9 in 893,417.
Answer: 943,212
Step-by-step explanation:
Suppose that you want to know the value of a given digit in a given number, where the digit is x.
Now, you should count the position of this digit, starting at the decimal point and counting to the left.
This position, a number n, will give the value of our digit as:
Value = x*10^(n-1)
in the number 893,417 the digit 9 is in the fifth place (counting from right to left).
Then the value of this 9 is:
9*10^(5 - 1) = 90,000
Now, if we want something ten times larger than this, we have:
N = 10*90,000 = 900,000
Now the 9 is in the sixth place, then we must find a number with a 9 in the sixth place, for example, 943,212.
The sum of two even consecutive integers is 114. What is the smallest integer?
Answer:
56
Step-by-step explanation:
The sum of two even consecutive integers is 114.
Let's let the first even integer be 2n, where n is some integer: it doesn't matter what n is, but if we multiply n by 2, we are certainly getting an even number. This is because any integer multiplied by 2 is even.
So, this means that the second number is 2n+2.
Their sum is 114. In other words:
[tex](2n)+(2n+2)=114[/tex]
Solve for n.
Combine like terms:
[tex]4n+2=114[/tex]
Subtract 2 from both sides:
[tex]4n=112[/tex]
Divide both sides by 4:
[tex]n=28[/tex]
So, n is 28.
This means that the first number is 28(2) or 56.
And the second number is 58.
So, the smallest integer is 56.
And we're done!
Techside Real Estate, Inc. is a research firm that tracks the cost of apartment rentals in Southwest Virginia. In mid-2002, the regional average apartment rental rate was $895 per month. Assume that, based on the historical quarterly surveys, it is reasonable to assume that the population standard deviation is $225. In a current study of apartment rental rates, a sample of 180 apartments in the region provided the apartment rental rates.
a. Do the sample data enable Techside Real Estate, Inc. to conclude that the population mean apartment rental rate now exceeds the level reported in 2002? The sample mean is $915 and the sample standard deviation is $227.50. Make your decision based on α=0.10.
b. What is the P-value?
Answer:
1) we will fail to reject the null hypothesis and conclude that the population mean apartment rental rate does not exceed the level reported in 2002
2) P - value = 0.116435
Step-by-step explanation:
We are given;
Population mean; μ = $895
Sample mean; x' = $915
Population standard deviation; σ = $225
Sample standard deviation; s = $227.50
Sample size; n = 180
Let's state the hypothesis;
Null hypothesis;H0: μ ≤ $895
Alternative hypothesis;Ha: μ > $895
Now, the z-score formula is;
z = (x' - μ)/(σ/√n)
Thus, we are making use of the population standard deviation
z = (915 - 895)/(225/√180)
z = 20/16.7705
z = 1.193
From online p-value from z-score calculator attached, with α = 0.10, one tail, we have;
The P-Value is 0.116435
This is more than the significance level of 0.1, thus we will fail to reject the null hypothesis and conclude that the population mean apartment rental rate does not exceed the level reported in 2002
Fruit juice in 4/5 pint cartons is sold by the park in 5/6 pint mugs. How many mugs are in a carton?
Answer:
Number of mugs in cartoon = 24 / 25
Step-by-step explanation:
Given:
Pints of cartoon = 4/5
Pints of mugs = 5/6
Find:
Number of mugs in cartoon
Computation:
Number of mugs in cartoon = Pints of cartoon / Pints of mugs
Number of mugs in cartoon = (4/5) / (5/6)
Number of mugs in cartoon = 24 / 25
A square calendar has sides that are 7 inches long. What is the calendar's area?
Answer:
49
Step-by-step explanation:
7x7=49
Answer:
49
Step-by-step explanation:
7x7=49
The temperature went from -6°F to -11°F. What was the change in temperature? 17°F -17°F -5°F 5°F
Answer:it got colder by more than 2 degrees
Answer:
well It would have been a change of -5ºF
Petra is making necklaces to sell at craft. the hardware for each necklace is 3.75 and each bead costs 0.50. The number of beads Petra needs depends on the design she chooses. which expression gives the total cost to make 30 necklaces.
Answer:
T=112.5+0.50*b (since there was not a given number of beads)
(3 + 4i) - (8 -5i) Write answer in standard form a +bi Group of answer choices
A:-5+9i
B:-5 + 9i
Answer:
[tex]A=-5+9i[/tex]
Step-by-step explanation:
[tex]\left(3+4i\right)-\left(8-5i\right)\\\\\mathrm{Group\:the\:real\:part\:and\:the\:imaginary\:part\:of\:the\:complex\:number}\\\left(a+bi\right)\pm \left(c+di\right)=\left(a\:\pm \:c\right)+\left(b\:\pm \:d\right)i\\\\=\left(3-8\right)+\left(4+5\right)i\\3-8=-5\\4+5=9\\\\=-5+9i[/tex]
Researchers are monitoring two different radioactive substances. They have 300 grams of substance A which decays at a rate of 0.15%. They have 500 grams of substance B which decays at a rate of 0.37%. They are trying to determine how many years it will be before the substances have an equal mass.
Answer:
In the blue area, people live closely because of its 1.Indutrialised area 2. The land is costly. 3.urbanisation In lighter color areas its farther because 1.Village 2.Farming area 3.Less popular rural area
Step-by-step explanation:
In the blue area, people live closely because of its 1.Indutrialised area 2. The land is costly. 3.urbanisation In lighter color areas its farther because 1.Village 2.Farming area 3.Less popular rural area
What is the volume of the cube shown?
6 3/4
11 25/64
30 3/8
8 1/64
Please help !
Answer:
11 25/64 in ^3
Step-by-step explanation:
Volume of a cube is given by
V = s^3
s = 2 1/4 = 9/4
V = (9/4) ^3
= 729/64
=11 25/64 in ^3
The function C(F) =5/9 (F - 32) is used to convert temperature from Fahrenheit (F) to Celsius (C).
The function K(C)= C + 273.15 is used to convert temperature from Celsius (C) to the Kelvin (K) scale. Write a function to convert 77°F to the Kelvin scale.
To express temperature in Kelvin as a function of Fahrenheit, compose the functions as(_*_)(_).
Now, derive the function described above and use it to express 77°F as ___K.
Answer:
K(F) = 5/9 (F - 32) + 273.15
K(F)=298.15k
Step-by-step explanation:
C(F) =5/9 (F - 32) is used to convert temperature from Fahrenheit (F) to Celsius (C).
C(F) =5/9 (F - 32)
The function K(C)= C + 273.15 is used to convert temperature from Celsius (C) to the Kelvin (K) scale.
K(C)= C + 273.15
K(c) - 273= C
Equating both values of C
K(F) - 273.15=5/9 (F - 32)
K(F) = 5/9 (F - 32) + 273.15
If F = 77°F
K(F) = 5/9 (F - 32) + 273.15
K(F) = 5/9(77-32) + 273.15
K(F) = 5/9(45) +273.15
K(F) = 25+273.15
K(F)=298.15k
Answer:
K
C
F
298.15
Step-by-step explanation:
What is the value of this expression?
6 + 24 % 3 x 4 %2
Answer:
22
Step-by-step explanation:
Order of Operations: BPEMDAS
Step 1: Write out expression
6 + 24 ÷ 3 x 4 ÷ 2
Step 2: Divide
6 + 8 x 4 ÷ 2
Step 3: Multiply
6 + 32 ÷ 2
Step 4: Divide
6 + 16
Step 5: Add
22
Solve the equation x2 = 5.
±√5
Step-by-step explanation:x² = 5
x = ±√5
The solution to the equation [tex]x^2=5[/tex] is [tex]x = \pm \sqrt{5}[/tex].
How to evaluate and solve the given equation?In order to evaluate and solve this equation, we would have to apply the PEMDAS rule, where mathematical operations within the parenthesis (grouping symbols) are first of all evaluated, followed by exponent, and then multiplication or division from the left side of the equation to the right.
Lastly, the mathematical operations of addition or subtraction would be performed from left to right.
Based on the information provided, we have the following mathematical equation:
[tex]x^2=5[/tex]
By taking the square root of both sides of the equation, we have:
[tex]x = \pm \sqrt{5}[/tex].
Read more on expression here: brainly.com/question/16729936
#SPJ6
Derrick and Samantha are selling tickets for their school musical. Floor seats cost $7.50 and balcony seats cost $5.00. Samantha sells 60 floor seats and 70 balcony seats, Derrick sells 50 floor seats and 90 balcony seats. Write an expression to show how much money Samantha and Derrick have collected for tickets.
students surveyed about birthdays. How many more students were born on monday than friday?
a) 4 students
b) 1 students
c) 2 students
d) 3 students
Evaluate the limit with either L'Hôpital's rule or previously learned methods.lim Sin(x)- Tan(x)/ x^3x → 0
Answer:
[tex]\dfrac{-1}{6}[/tex]
Step-by-step explanation:
Given the limit of a function expressed as [tex]\lim_{ x\to \ 0} \dfrac{sin(x)-tan(x)}{x^3}[/tex], to evaluate the following steps must be carried out.
Step 1: substitute x = 0 into the function
[tex]= \dfrac{sin(0)-tan(0)}{0^3}\\= \frac{0}{0} (indeterminate)[/tex]
Step 2: Apply L'Hôpital's rule, by differentiating the numerator and denominator of the function
[tex]= \lim_{ x\to \ 0} \dfrac{\frac{d}{dx}[ sin(x)-tan(x)]}{\frac{d}{dx} (x^3)}\\= \lim_{ x\to \ 0} \dfrac{cos(x)-sec^2(x)}{3x^2}\\[/tex]
Step 3: substitute x = 0 into the resulting function
[tex]= \dfrac{cos(0)-sec^2(0)}{3(0)^2}\\= \frac{1-1}{0}\\= \frac{0}{0} (ind)[/tex]
Step 4: Apply L'Hôpital's rule, by differentiating the numerator and denominator of the resulting function in step 2
[tex]= \lim_{ x\to \ 0} \dfrac{\frac{d}{dx}[ cos(x)-sec^2(x)]}{\frac{d}{dx} (3x^2)}\\= \lim_{ x\to \ 0} \dfrac{-sin(x)-2sec^2(x)tan(x)}{6x}\\[/tex]
[tex]= \dfrac{-sin(0)-2sec^2(0)tan(0)}{6(0)}\\= \frac{0}{0} (ind)[/tex]
Step 6: Apply L'Hôpital's rule, by differentiating the numerator and denominator of the resulting function in step 4
[tex]= \lim_{ x\to \ 0} \dfrac{\frac{d}{dx}[ -sin(x)-2sec^2(x)tan(x)]}{\frac{d}{dx} (6x)}\\= \lim_{ x\to \ 0} \dfrac{[ -cos(x)-2(sec^2(x)sec^2(x)+2sec^2(x)tan(x)tan(x)]}{6}\\\\= \lim_{ x\to \ 0} \dfrac{[ -cos(x)-2(sec^4(x)+2sec^2(x)tan^2(x)]}{6}\\[/tex]
Step 7: substitute x = 0 into the resulting function in step 6
[tex]= \dfrac{[ -cos(0)-2(sec^4(0)+2sec^2(0)tan^2(0)]}{6}\\\\= \dfrac{-1-2(0)}{6} \\= \dfrac{-1}{6}[/tex]
Hence the limit of the function [tex]\lim_{ x\to \ 0} \dfrac{sin(x)-tan(x)}{x^3} \ is \ \dfrac{-1}{6}[/tex].
Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint. (Hint: Let (x,y) be the unknown endpoint. Apply the midpoint formula, and solve the two equations for x and y.) midpoint (1,6), endpoint (-2,1)
Answer:
(4,11)Step-by-step explanation:
Given two coordinates (x₁, y₁) and (x₂,y₂), the midpoint of the coordinates is expressed as M(X,Y) = [tex](\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})[/tex] where;
[tex]X = \dfrac{x_1+x_2}{2}\ and \ Y = \dfrac{y_1+y_2}{2}[/tex]
Given the midpoint (X, Y) = (1,6) and one end point to be (-2,1), to get the unknown endpoint (x,y), we will apply the formula above. from the coordinates given X = 1, Y = 6, x₁ = -2 and y₁ = 1
[tex]Given \ X = \dfrac{x_1+x_2}{2}\\1 = \dfrac{-2+x}{2}\\cross \ multiply\\2 = -2+x\\x = 2+2\\x = 4[/tex]
Similarly to get y;
[tex]Given \ Y = \dfrac{y_1+y}{2}\\6 = \dfrac{1+y}{2}\\cross \ multiply\\2*6 = 1+y\\12 = 1+y\\y = 12-1\\y = 11[/tex]
Hence the unknown endpoint (x,y) is (4,11)
What is 12 raised to the first power?
Answer:
12^1 = 12
Step-by-step explanation:
Any number raised to the power of one equals the number itself.
a regular polygon of 2 k + 1 sides has 140 as
size of each interior angle find K
Help i dont understand this someone help me pls :(
Answer:
X=7
Step-by-step explanation:
(2) means time 2 so use 5 times 2 and get 10 and take away 3 you get 7 and 7 is X
to prove I am right use 7x5-3/2=16-3x2=10
hey bro I was joking at first
Answer:
f(2) = 5(2) -3
10 - 3
f(2) = 7
The Megasoft company gives each of its employees the title of programmer (P) or project manager (M). In any given year 70% of programmers remain in that position 20% are pro- moted to project manager and 10% are fired (state X). 95% of project managers remain in that position while 5% are fired. How long on the average does a programmer work before they are fired?
Answer:
it will take a programmer about 16.67 times to work before they are fired
Step-by-step explanation:
From the information given;
The transistion matrix for this study can be computed as:
P M X
P 0.7 0.2 0.1
M 0 0.95 0.05
X 0 0 1
where;
The probability that the programmer remains a programmer = [tex](P *P)[/tex]
The probability that the programmer turns out to be a manager = [tex](P*M)[/tex]
The probability that the programmer is being fired = [tex](P*X)[/tex]
Thus, the required number of years prior to the moment being fired for an employee y(P), for programmer and y(M) for manager is represented by ;
[tex]y(P)=1+0.7y(P)+0.2y(M)[/tex]
[tex]y(M)=1+ 0.95y(M).[/tex]
[tex]0.05y(M)=1[/tex]
y(M) = [tex]\dfrac{1}{0.05}[/tex]
y(M) =20
y(P)=1+0.7y(P)+0.2y(M)
y(P) - 0.7y(P) = 1 + 0.2y(M)
0.3y(P) = 1 + 0.2(20)=1+4
0.3y(P) = 1 + 4
0.3y(P) = 5
[tex]y(P)=\dfrac{5}{0.3}[/tex]
[tex]y(P)=16.67[/tex]
Therefore, it will take a programmer about 16.67 times to work before they are fired
what expression would be equivalent to 4+12? 6(8+6) 12(4+1) 4(44+3) 8(6+4)
Answer:
12(4+1) i think
Step-by-step explanation:
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textbf{Solving for:}[/tex]
[tex]\large\textbf{4 + 12}[/tex]
[tex]\huge\textbf{Convert it to an easier way to}\\\huge\textbf{understand or keep it as it is:}[/tex]
[tex]\large\textbf{= 12 + 4}[/tex]
[tex]\huge\textbf{The answer:}[/tex]
[tex]\large\textbf{= 16}[/tex]
[tex]\huge\textbf{Now, let's see which one of your choices}\\\huge\textbf{are equivalent to your original equation.}[/tex]
[tex]\huge\textsf{Option A.}[/tex]
[tex]\large\textbf{6(8 + 6)}[/tex]
[tex]\large\textbf{= 6(8) + 6(6)}[/tex]
[tex]\large\textbf{= 48 + 36}[/tex]
[tex]\large\textbf{= 84}[/tex]
[tex]\large\textsf{OR}[/tex]
[tex]\large\textbf{6(8 + 6)}[/tex]
[tex]\large\textbf{= 6(14)}[/tex]
[tex]\large\textbf{= 84}[/tex]
[tex]\large\textbf{84 }\boxed{\neq}\large\textbf{ 16}[/tex]
[tex]\huge\textsf{Option B.}[/tex]
[tex]\large\textbf{12(4 + 1)}[/tex]
[tex]\large\textbf{= 12(4) + 12(1)}[/tex]
[tex]\large\textbf{= 48 + 12}[/tex]
[tex]\large\textbf{= 60}[/tex]
[tex]\large\textsf{OR}[/tex]
[tex]\large\textbf{12(4 + 1)}[/tex]
[tex]\large\textbf{= 12(5)}[/tex]
[tex]\large\textbf{= 60}[/tex]
[tex]\large\textbf{60 }\boxed{\neq}\large\textbf{ 16}[/tex]
[tex]\huge\textsf{Option C.}[/tex]
[tex]\large\textbf{4(44 + 3)}[/tex]
[tex]\large\textbf{= 4(44) + 4(3)}[/tex]
[tex]\large\textbf{= 176 + 12}[/tex]
[tex]\large\textbf{= 188}[/tex]
[tex]\large\textsf{OR}[/tex]
[tex]\large\textbf{4(44 + 3)}[/tex]
[tex]\large\textbf{= 4(47)}[/tex]
[tex]\large\textbf{= 188}[/tex]
[tex]\large\textbf{188 }\boxed{\neq}\large\textbf{ 16}[/tex]
[tex]\huge\textsf{Option D.}[/tex]
[tex]\large\textbf{8(6 + 4)}[/tex]
[tex]\large\textbf{= 8(6) + 8(4)}[/tex]
[tex]\large\textbf{= 48 + 32}[/tex]
[tex]\large\textbf{= 80}[/tex]
[tex]\large\textsf{OR}[/tex]
[tex]\large\textbf{8(6 + 4)}[/tex]
[tex]\large\textbf{= 8(10)}[/tex]
[tex]\large\textbf{= 80}[/tex]
[tex]\large\textbf{80 }\boxed{\neq}\large\textbf{ 16}[/tex]
[tex]\huge\text{Therefore, your answer: \boxed{\textsf{None of the above}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
If the length of rectangle is 8.26cm and its breadth is 5.5cm, the find the
area of the rectangle
Answer:
Area of a rectangle= L×B
=8.26cm×5.5cm
=45.43cm square
Answer:
45.43cm squared
Step-by-step explanation:
Length times breadth =
8.26cm x 5.5cm.
8.26cm x 5.5cm = 45.43cm squared.
Using an algorithm is a good way to figure out this question. There are useful websites to teach you about them :)
Which statement is true about the two lines whose equations are given below?
y =
= 3x + 2
y = -4x + 9
A.
The lines are parallel.
B.
The lines are perpendicular.
The lines intersect but are not perpendicular.
C.
D.
The lines coincide.
Answer:
C. The lines intersect but are not perpendicular.
Step-by-step explanation:
The slopes (x-coefficients) of these lines are 3 and -4. They are different, but their product is not -1. Lines with different slopes are distinct lines that will intersect. If the product of their slopes is -1, they are perpendicular.
The lines intersect but are not perpendicular.
If KL = x + 4, LM = 2, and KM = 5x − 3, what is KL?
2x- 6 is 5x + 3
your answwr
Please help. I’ll mark you as brainliest if correct!
2 fraction bars. The first bar is labeled 1 with 8 boxes underneath that are labeled one-eighth. The second bar is labeled 1 with 8 boxes underneath that are labeled one-eighth. Use the drop-down menu to complete the statement. To find the quotient of 2 ÷ 3 8 , circle groups of ------
Answer:
1/3
Step-by-step explanation:
hope this helps
Answer:
It is 3/8
Step-by-step explanation:
I got it right on Edge 2021.
Find the value of the expression for the given values.
6x-2 for x = -2, x = 6, and x = -5
If x= - 2. then 6x - 2 =
If x = 6, then 6x - 2 =
If x= - 5. then 6x-2=
Answer:
If x= - 2. then 6x - 2 = -14
If x = 6, then 6x - 2 = 34
If x= - 5. then 6x-2= -32
Step-by-step explanation:
You have to substitute the value of x in the expression.
If x = -2,
6x-2 = 6*(-2) - 2 = -12-2 = -14
Can you please please help me with this please it’s so hard and i will give you a branlist
Look at the correlation between Risk-Taking (R) and Relationship Happiness (HAPPY). Use the standard alpha level of 5%. How would you describe the relationship?
1. The relationship is non-significant.
2. There is a significant negative relationship.
3. There is a significant positive relationship.
4. The correlation is zero.
Image of the correlation between Risk-Taking (R) and Relationship Happiness (HAPPY) is missing, so i have attached it.
Answer:
Option 1 - The relationship is non - significant
Step-by-step explanation:
From the image attached, we can see that under the correlations table;
For correlation between relationship happiness and risk taking;
σ(sigma) = 0.053
Similarly, for correlation between risk taking and relationship happiness;
σ(sigma) = 0.053
.
Now,σ(sigma) = 0.053 is more than the standard alpha level of 5%(0.05). Thus, we fail to reject the null hypothesis since it is non - significant.