Work Shown:
The set {A,B,C,1,2} has five items. There are four slots to fill.
So we have 5^4 = 5*5*5*5 = 625 different possible passwords where the characters can be repeated.
625 four-character passwords can be formed.
----------------------------
Each character of the password is independent of previous characters, which means that the fundamental counting principle is used to solve this question.
Fundamental counting principle:
States that if there are p ways to do a thing, and q ways to do another thing, and these two things are independent, there are p*q ways to do both things.
----------------------------
4 independent characters.Each with 5 outcomes(A, B, C, 1 or 2).Thus, the number of passwords is:
[tex]5 \times 5 \times 5 \times 5 = 5^4 = 625[/tex]
625 four-character passwords can be formed.
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In 2007, the first generation of the i-phone sold for $499. The average cost of an i-phone today is $999. At a press conference just outside a telephone museum in Cle Elum, WA, the CEO of Apple, Tim Cook, stated that the rise in cost is purely due to inflation. Use the Consumer Price Index to either verify or falsify Cooks’s statement. Is he wrong?
Answer: the statement made by Tim Cook is TRUE
Step-by-step explanation:
Given that;
in 2007 cost of 1st gen iphone = $499 (base year price)
cost of iphone today = $999 (current year price)
Using the Consumer Price Index
the Consumer Price Index = (cost pf product in current years/cost of product base year) × 100
we substitute
CPI = (999/499) × 100
CPI = 200.2004
so the CPI is 100.2004% higher in the current year than in the base year
Checking the inflation rate
IR = (( CPI this year- CPI last year)/CPI last year) × 100
CPI last year (base year) = 100
CPI current year is = 100.2004
so
IR = (( 100.2004 - 100)/100) × 100
IR = 0.002004 × 100
IR = 0.2004%
THEREFORE the statement made by Tim Cook is TRUE
what is the drawing an example of?
Answer:
Parallel Lines
Step-by-step explanation:
This drawing below represent parallel lines. We know these are parallel because they are marked with "feathers": those triangle looking things. They have to have the same amount of feathers to be parallel.
Hope this helped!
The ratio of Ali's mass to John's mass is 6:5. The ratio of John's muss
to William's mass is 2: 3. Find the ratio of Ali's mass to William's mass.
(1) 1:2
(2) 2:1
(3) 4:5
(4) 5:4
Step-by-step explanation:
The ratio of Ali mass to Williams mass is
6 : 3
= 2 : 1
Option 2 is the correct answer
1. What is the slope of the line through the points (-6, 3) and (-7, -4)?
o 1
Answer:
[tex] \boxed{ \bold{ 7}}[/tex]Step-by-step explanation:
Let the points be A and B
A ( -6 , 3 ) ⇒ ( x₁ , y₁ )
B ( -7 , -4 )⇒ ( x₂ , y₂ )
Now, let's find the slope:
[tex] \mathsf{\frac{y2 - y1}{x2 - x1}}[/tex]
Plug the values
⇒[tex] \mathsf{ \frac{ - 4 - 3}{ - 7 - ( - 6)} }[/tex]
When there is a ( - ) in front of an expression in parentheses, change the sign of each term in the expression
⇒[tex] \mathsf{ \frac{ - 4 - 3}{ - 7 + 6}} [/tex]
Calculate
⇒[tex] \mathsf{ \frac{ - 7}{ - 1} }[/tex]
Any expression divided by -1 equals it's opposite
⇒[tex] \mathsf{7}[/tex]
Hope I helped!
Best regards!!
Question 6(Multiple Choice Worth 1 points)
(01.02 LC
Solve for x: -3x - 3= -3(x + 1)
O All real numbers
O No solution
06
-6
HELP ME OUT ASAP
Answer:
-3x-3=-3(x+1)
opening the bracket and collecting like terms, we have
-3x+3x=-1+3
thus, no solution
Evaluate 1 1/3 + 2 2/5
Answer:
3 11/15
Step-by-step explanation:
Answer:
3 11/15
Step-by-step explanation:
the 1/3 and 2/5 cannot be added properly, so we must make the denominator the same for both sides. So we make it fifteen.
The new equation is: 1 5/15 + 2 6/15.
1 5/15 + 2 6/15 = 3 11/15.
hope this helps :)
Prove the identity (sin3A+sinA)/2sin2A= cosA
Step-by-step explanation:
[tex] \frac{ \sin(3A) + \sin(A) }{2 \sin(2A) } [/tex]
Using the trigonometric identity
[tex] \sin(x) + \sin(y) = 2 \sin( \frac{x + y}{2} ) \cos( \frac{x - y}{2} ) [/tex]
Rewrite the expression
We have
[tex] \frac{2 \sin(2A) \cos(A) }{2 \sin(2A) } [/tex]
Reduce the fraction with 2
That's
[tex] \frac{ \sin(2A) \cos(A) }{ \sin(2A) } [/tex]
Reduce the fraction with sin 2A
We have the final answer as
cos AAs proven
Hope this helps you
In a random sample of people, the mean driving distance to work was miles and the standard deviation was miles. Assume the population is normally distributed and use the t-distribution to find the margin of error and construct a % confidence interval for the population mean . Interpret the results. Identify the margin of error. nothing ▼ square miles miles per hour miles (Round to one decimal place as needed.) Construct a % confidence interval for the population mean. (Round to one decimal place as needed.) Interpret the results. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) A. nothing% of all random samples of people from the population will have a mean driving distance to work (in miles) that is between the interval's endpoints. B. It can be said that nothing% of the population has a driving distance to work (in miles) that is between the interval's endpoints. C. With nothing% confidence, it can be said that most driving distances to work (in miles) in the population are between the interval's endpoints. D. With nothing% confidence, it can be said that the population mean driving distance to work (in miles) is between the interval's endpoints.
Full question attached
Answer:
D. With 99% confidence, it can be said that the population mean driving distance to work (in miles) is between the interval's endpoints
Step-by-step explanation:
The new confidence interval is narrower than the confidence interval for the t-distribution and the center is 21.7
please note that the options chosen are different for the attachment and the question here but are same answer
18. Use Pascal's triangle to find the coefficients of the expanded polynomial (a + b)^3.
options:
A) 1 3 3 1
B) 1 2 1
C) 1 1
D) 1 4 6 4 1
Answer:
Step-by-step explanation:
Hello, let's compute the first lines of the Pascal's triangle.
1
1 1
1 2 1
1 3 3 1
So for this question,
[tex](a+b)^3=a^3+3a^2b+3ab^2+b^3[/tex]
And then, the correct answer is A.
Thank you
Using pascals triangle coefficients of the expanded polynomial (a + b )³ is 1 3 3 1. Option A is correct
What is the pascals triangle?it is the array(in triangle form) of numbers, starting with 1 on the uvertexvetex and with 1's tending down to the two sides of a triangle. Each number lies between two numbers and down to them, and every value is the addition of the two numbers present at the above adjacent.
( a + b )³ = a³ + 3 a² b + 3 b² a + b³
Pascal's triangle =
1
1 2 1
1 3 3 1
1 4 6 4 1
and so on
From the above triangle, it represents ( a + b )^n where every number represents the coefficient. As for the given question the n = 3 so the third row in the pascal triangle i.e. coefficients of the expanded polynomial ( a + b )³ is 1 3 3 1.
Thus, the coefficients of the expanded polynomial ( a + b )³ is 1 3 3 1.
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What is 2448 divided by 10
Answer:
244.8
Step-by-step explanation:
If we divide a number by 10, we are moving the decimal place on value to the left.
The decimal place is currently here:
2448.000
So moving it left one gets us:
244.8000
Hope this helped!
I understand the homework, but question 9. Could someone please help? This assignment is due on Friday (8/21/2020)
Answer:
I think B or C I'm not sure but I hope this helps!
Step-by-step explanation:
4-2(1-w) =-38
solve and plug back in step by step
Answer:
w = -20
Step-by-step explanation:
Solve for w:
4 - 2 (1 - w) = -38
Hint: | Distribute -2 over 1 - w.
-2 (1 - w) = 2 w - 2:
2 w - 2 + 4 = -38
Hint: | Group like terms in 2 w - 2 + 4.
Grouping like terms, 2 w - 2 + 4 = 2 w + (4 - 2):
2 w + (4 - 2) = -38
Hint: | Evaluate 4 - 2.
4 - 2 = 2:
2 w + 2 = -38
Hint: | Isolate terms with w to the left hand side.
Subtract 2 from both sides:
2 w + (2 - 2) = -2 - 38
Hint: | Look for the difference of two identical terms.
2 - 2 = 0:
2 w = -2 - 38
Hint: | Evaluate -2 - 38.
-2 - 38 = -40:
2 w = -40
Hint: | Divide both sides by a constant to simplify the equation.
Divide both sides of 2 w = -40 by 2:
(2 w)/2 = (-40)/2
Hint: | Any nonzero number divided by itself is one.
2/2 = 1:
w = (-40)/2
Hint: | Reduce (-40)/2 to lowest terms. Start by finding the GCD of -40 and 2.
The gcd of -40 and 2 is 2, so (-40)/2 = (2 (-20))/(2×1) = 2/2×-20 = -20:
Answer: w = -20
Hallar el conjunto solución de la siguiente inecuación: x^2-12x+36≤0
Answer:
x = 6
Step-by-step explanation:
x² - 12x + 36 ≤ 0
(x - 6)(x - 6) ≤ 0
(x - 6)² ≤ 0
x - 6 = 0
x = 6
es el único valor que cumple la condición, cualquier otro sera mayor que 0
Lynn invites some friends for lunch she needs to cater for 24 people. She decides to make pancakes. How many milk does Lynn need to use?
Answer: 900ml
Step-by-step explanation:
Recipe serves 4
Invited guests is 24 which is 6 x the recipe
6 x 150ml = 900ml
A quantity of (24xy) liters amount of milk is needed to cater 24 peoples.
What is a expression? What is a mathematical equation? What do you mean by domain and range of a function?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.For any function y = f(x), Domain is the set of all possible values of [y] that exists for different values of [x]. Range is the set of all values of [x] for which [y] exists.We have Lynn needs to cater for 24 people.
Assume that she intents to make [x] pancakes for each individual. And, in order to make 1 pancake, [y] liters of milk is needed. So, for a total of 24 people, she will make (24x) pancakes, that will need -
A{milk} = 24xy
Therefore, a quantity of (24xy) liters amount of milk is needed to cater 24 peoples.
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Bob buys candy that costs $7 per pound. He will buy at most 6 pounds of candy. What are the possible amounts he will spend on candy?
write another name for BD need asap pls
Finding slope given the graph of a line on a grid
(-3,-1) (-4,2)
Answer:
-3
Step-by-step explanation:
(y2-y1)/(x2-x1) = (2-(-1))/(-4-(-3))
= (2+1)/(-4+3)
= 3/-1
= -3
Answer:
-3
Step-by-step explanation:
To get the slope we do (-1-2)/(-3+4)
so the slope is -3
What is the critical value at the 0.05 level of significance for a goodness-of-fit test if there are six categories?
Answer:
The goodness of fitness test χ²with significance of level ∝= 0.05 and 5 degrees of freedom is 11.07 (One tailed test )
Step-by-step explanation:
For n=6 the degrees of freedom will be n-1 = 5 .
The goodness of fitness test χ²with significance of level ∝= 0.05 and 5 degrees of freedom is 11.07 (One tailed test )
The critical region depends on ∝ and the alternative hypothesis
a) When Ha is σ²≠σ² the critical region is
χ² < χ²(1-∝/2)(n-1) and χ² > χ²(1-∝/2)(n-1) Two tailed test
( χ² < 0.83) and ( χ² > 0.83)
b) When Ha is σ²> σ² the critical region falls in the right tail and its value is
χ² > χ²(∝)(n-1) One tailed test {11.07 (One tailed test )}
c) When Ha is σ² <σ² the critical region will be entirely in the left tail with critical value
χ²(1-∝)(n-1) One tailed test (1.145)
Answer:
the newsar si evsenyt esventy
Step-by-step explanation:
What is 2 2/3 - 1 1/3? answer using backslash for example 2/3
Answer:
-1
Step-by-step explanation:
i need help can someone help me please
Answer:
a. x=80
b. x=30
Step-by-step explanation:
Use the exterior angle theorem: as shown in the picture
# a
25+x=105
x=80
#b
2x+(3x+2)=152
5x+2=152
5x=150
x=30
Find the LCM of these two expressions: m2 + 11m + 10 and m2 + 9m – 10.
Answer:
(m-1)(m+1)(m+10)
Step-by-step explanation:
Factors of each expression:
m² + 11m + 10 = m²+m + 10m+10 = m(m+1)+10(m+1) =(m+1)(m+10)m² + 11m + 10 = (m+1)(m+10)
m² + 9m – 10 = m² - m + 10m - 10 =m(m-1) + 10(m-1) = (m-1)(m+10)m² + 9m – 10 = (m-1)(m+10)
LCM of the two expressions is:
(m-1)(m+1)(m+10)Answer:
Sample Answer
Step-by-step explanation:
A 50 kg skater pushed by a friend accelerates 5 m/sec. how much force did the friend apply?
Answer:
250 joulesStep-by-step explanation:
[tex]Mass = 50kg\\Acceleration = 5m/sec\\Force = ?\\\\Force = Mass\times acceleration\\\\Force = 50\times 5\\\\ Force = 250\: joules \: or \:250kgm/s[/tex]
.2 CALCULATION Mr. Davis took a job through an employment agency. The job pays $88K per year. He must pay a fee to the employment agency. The fee is 22% of his first four weeks’ pay. How much money must Mr. Leonard pay the agency, to the nearest cent? K = 1,000 88K = 88 × 1,000 = __________ annual salary Weekly salary = annual salary ÷ 52 Weekly salary = 88,000 ÷ 52 = __________ 4 weeks salary = 4 × 1,692.31 = __________ 22% of 4 weeks salary = 6,769.24 × 0.22 ≈ __________ Mr. Leonard must pay the agency __________.
Answer: $1489.23 is the amount Mr. Leonard must pay to the agency, which is 22% of his 4-week salary of $6769.24.
This is assuming Mr. Davis and Mr. Leonard are the same person.
Fill in the blank answers: $88,000. $1692.31. $6769.24. $1489.23.
solve for x 9x-3-8x=7-x
Answer:
x = 5
Step-by-step explanation:
First, we move all variables to one side of the equation. (Don't forget to change signs.)
9x - 8x + x = 7 + 3
Then, we simplify
x + x = 10
2x = 10
10 divided by 2 is equal to 5.
Therefore, x = 5
Hope this helps!
The solution of the given equation 9x-3-8x=7-x for x will be 5.
What is the equation?There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.
The equation must be constrained with some constraints.
As per the given equation,
9x - 3 - 8x = 7 - x
x - 3 = 7 - x
x + x = 7 + 3
2x = 10
x = 5
Hence "The solution of the given equation 9x-3-8x=7-x for x will be 5.".
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Bill is paid a monthly salary of $7200. What is his Medicare tax withholding for January?
-Taxable wages & tips subject to Additional Medicare Tax withholding Total Advances Received From Filing Form(s) 7200 for the Quarter · 13g. Your Form 941 is due by the last day of the month that follows the end of the quarter
Step-by-step explanation:
When Betsy Ross sewed the first American flag, the flag had an area of 27 square feet. If the base of the flag was 9 feet, what was the height of the flag?
Answer:
The height of the flag was 3 feet.
Step-by-step explanation:
To solve this problem, we must first recall the formula for area of a rectangle to be:
Area = base * height
Next, we can substitute in the values that we were given in the problem. We were told that the area was 27 square feet and the base was 9 feet.
27 = 9 * height
Now we can treat this equation that we have created similar to any other equation we would like to solve. We must solve for the unknown, or the variable, which in this case is the height. To do this, we should divide both sides by 9 to get the "height" variable by itself on the right side of the equation. This is modeled below:
27/9 = (9 * height)/9
3 = height
Therefore, the height of the flag was 3 feet.
Hope this helps!
Answer:
The height is 3,
Step-by-step explanation:
First up, if we know the B in the B*H=A formula, we can divide the area by the base (27/9) and get the height, 3.
I too am learning this. The thing is you want to do a reverse order. For example, 2*3=6; so automatically we would know that 6/3=2.
Hope this has helped!
:)
Solve for y. -3 = 7 (y - 9/7)
Answer:
y = 1
Step-by-step explanation:
y - 3 = 7 (y - 9/7)
y - 3 = 7*y + 7*-9/7
y - 3 = 7y - 9
y - 7y = 3 - 9
-6y = -6
y = -6/-6
y = 1
probe:
1 - 3 = 7(1 - 9/7)
-2 = 7*-2/7
I have Epilepsy so I tend to forget how to do multiple things! What is the equation of the line? A.y=−13x B.y=−3x C.y=13x D.y = 3x
5. In the figure, . Solve for . Show your work.
Answer:
15
Step-by-step explanation:
6/10=9/x
cross multiply
6x=9*10
6x=90
x=90/6x=15
A 12 foot board is cut so that one piece is 5 times as long as the other. Find the length of each piece.
Answer:
2 and 10
Step-by-step explanation:
Let x be length of the small piece and y the length of the big one.
● y = 5x
Since the big piece is 5 times longer than the short one.
The total length is 12 ft
● y + x = 12
● 5x + x = 12
● 6x = 12
Divide both sides by 6
● 6x/6 = 12/6
● x = 2
So the length of the two pieces are 2 ft and 10 ft (5×2)
The length of each piece is 2 units and 10 units.
How to know how many times a number is to another ?To know how times a number is to another just divide the larger number to the smaller number.
According to the given question a 12 foot board is cut so that one piece is 5 times as long as the other.
Assuming one piece to be x and the other to be 5x.
∴ x + 5x = 12
6x = 12
x = 2.
So, one piece is of 2 units and other piece is of 5(2) = 10 units.
To confirm that one piece is of 5 times of the other we divide the larger piece by the smaller piece which is 10/2 = 5.
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