Answer:
31.35%
Step-by-step explanation:
Initial reading:In the box, there are:
6 Black pens4 blue pens7 red pensTotal number of pens in the box = 6 + 4 + 7
= 17
If we count pens as outcomes the total number of possible outcomes are 17.
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
New reading:Clarissa takes out a black pen from the box.
That reduces the number of black pens by 1 which increases the total number of pens by 1 as well.
So now:
Number of black pens = 6 - 1 = 5 Total number of pens = 17 - 1 = 16- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Probability:[tex] \boxed{ \mathsf{probability = \frac{favorable \: outcomes}{total \: outcomes} }}[/tex]
If we want her to pick up a black pen, and she ends up picking one. So, we can say that the outcome is in our favor.
That makes it,
the number of favorable outcomes = number of black pens= 5
and total outcomes = Total number of pens= 16
[tex] \implies\mathsf{probability = \frac{5}{16} }[/tex]
For showing it as some percent we'll just multiply the fraction by 100
[tex] \implies \mathsf{ \frac{5}{16} \times 100 }[/tex]
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
As a percent:[tex] \implies \mathsf{ \underline{ 31.25 \: \% } }[/tex]
Is the sequence geometric if so identify the common ratio 1/3, 2/9, 4/27, 8/81
Answer:
It is a geometric sequence and the common scale factor is [tex]\frac{2}{3}[/tex].
Step-by-step explanation:
In an arithmetic sequence, the difference between consecutive terms is always the same.
[tex]a_n=a_1+(n-1)d[/tex]
where aₙ is the nth term, a₁ is the first term, n is the index, and d is the common difference.
In a geometric sequence, each consecutive term was multiplied by some factor over the last.
[tex]a_n=ax^n^-^1[/tex]
where aₙ is the nth term, n is the index, and x is the scale factor.
In the given sequence, there is no common difference so it is not an arithmetic sequence. There is, however, a common scale factor applied to each consecutive term. Each term is multiplied by [tex]\frac{2}{3}[/tex] over the last.
The formula for this sequence would be:
[tex]a_n=a\frac{2}{3} ^{n-1}[/tex]
Answer:
r = [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
If the sequence is geometric then there will be a common ratio r between consecutive terms , that is
r = a₂ ÷ a₁ = a₃ ÷ a₂ = a₄ ÷ a₃
Then
a₂ ÷ a₁ = [tex]\frac{2}{9}[/tex] ÷ [tex]\frac{1}{3}[/tex] = [tex]\frac{2}{9}[/tex] × 3 = [tex]\frac{2}{3}[/tex]
a₃ ÷ a₂ = [tex]\frac{4}{27}[/tex] ÷ [tex]\frac{2}{9}[/tex] = [tex]\frac{4}{27}[/tex] × [tex]\frac{9}{2}[/tex] = [tex]\frac{2}{3}[/tex]
a₄ ÷ a₃ = [tex]\frac{8}{81}[/tex] ÷ [tex]\frac{4}{27}[/tex] = [tex]\frac{8}{81}[/tex] × [tex]\frac{27}{4}[/tex] = [tex]\frac{2}{3}[/tex]
Then sequence is geometric with common ratio r = [tex]\frac{2}{3}[/tex]
can someone please help me out with this as ive tried to put everything to solve it but im still wrong.
kind regards
Franklin
One hundred students are assigned lockers 1 through 100. The students assigned to locker 1 opens all 100 lockers. The student assigned to locker 2 closes all lockers that are multiples of 2. The student assigned to locker 3 changes the status of all lockers ( e.g., locker 3 is open gets closed and locker 6 that is closed gets opened) The student assigned to locker 4 changed the status of all lockers whose multiples of 4, and so on for all 100 lockers. What lockers will be left open?
pls help this is due tmrw
Answer:
Lockers 1, 4, 9, 16, 25, 36, 49, 64, 81, and 100 are left open!
Two legs of a right triangle are each 70 cm. If one leg grows at the rate of 5cm/min and the oth
shrinks at the rate of 5 cm/min.
A)how fast is the hypotenuse of the triangle changing 2 minutes later?
The rate of change of the hypotenuse after 2 minutes is 0.505 cm/min
Let L be the length of one leg and D be the length of the other leg of the right triangle and y its hypotenuse
Since it is a right angled triangle, we have that, using Pythagoras' theorem
y² = L² + D²
Since the length of sides are the same, L = D = 70 cm.
So, y² = L² + D²
y² = 70² + 70²
y² = 2(70²)
y = 70√2
y = 98.99 cm
Also, one side increases at a rate of 5 cm/min and the other side decreases at a rate of 5 cm/min.
The increase in length of one side after 2 min is 5cm/min × 2 min = 10 cm.
So, it new length is L' = 70 + 10 = 80 cm
The decrease in length of the other side after 2 min is -5cm/min × 2 min = -10 cm.
So, it new length is D' = 70 + (-10 cm) = 60 cm
So, the new hypotenuse length is y' = √(L'² + D'²)
= √(80² + 60²)
= √(6400 + 3600)
= √10000
= 100 cm
Now, the change in length of the hypotenuse side in 2 minutes is Δy = 100 cm - 98.99 cm = 1.01 cm
So, rate of change of the hypotenuse after 2 minutes is 1.01 cm/2 min = 0.505 cm/min
The rate of change of the hypotenuse after 2 minutes is 0.505 cm/min
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PLS ANSWER IM BEGGING PLS
Answer:
x = 3
Step-by-step explanation:
This is an isosceles triangle. Two angles (D and F) are equal because the sides opposite them are equal (or vice versa).
Thus, side DE = side EF, or
12x - 8 = 4x + 16
Combining like terms: 8x = 24
Thus, x = 24/8 = 3
x = 3
A-project-of-construction-of-a-building-can-be-completed-by-150-workers-in-40-days-But-project-manager-brought-30-more-workers-after-16-days-In-how-many-days-will-the-remaining-work-be-finished
Answer:
In the second scenario after 16 days, 150 workers would have completed 150*16=2400 worker days. That leaves 6000-2400=3600 worker days remaining. If you add 30 workers, it would take 3600/180=20 days longer to complete. So, the entire project would take 16+20=36 days to complete.
find the 10th term
FORMULA: Tn=a+d(n-1)
Answer:
T₁₀ = 23
Step-by-step explanation:
The nth term of an arithmetic sequence is
[tex]T_{n}[/tex] = a + (n - 1)d
where a is the first term and d the common difference
Here a = - 4 and d = T₂ - T₁ = - 1 - (- 4) = - 1 + 4 = 3 , then
T₁₀ = - 4 + (9 × 3) = - 4 + 27 = 23
Answer:
-4,-1,2,5 turn into consecutive terms
d=-1-(-4)
d=2-(-1)
d=5-2
d=-1-(-4) calculate the value
d=3
d=2-(-1)
d=5-2
So it is a Arethmetic Sequence
That's my answer hope it helps
One week, London earned $313.50 at her job when she worked for 15 hours. If she is paid the same hourly wage, how many hours would she have to work the next week to earn $647.90?
Answer:
31 hours
Step-by-step explanation:
First you take 313.50 divide that by 15 get 20.9 per hour
Then you take 647.90 and divide that by 20.9
So then you're left with 31 as your answer.
Why is all the answers on this website saying my work is wrong.
Answer:
you're wrong
Step-by-step explanation:
should have been "Why are all the answers on this website saying my work is wrong?"
help me pleaseeeeeeeee
Answer:
a) 84m
b) 86cm
Step-by-step explanation:
a) 8316/99=84
You take to whole and divide it by the length to get the width.
b) 288-58-58=172/2=86
You take the width and subtract it from the perimeter twice because there are two sides. then take that answer and divide it by two to get what your last two sides equal. This gives you the length.
karl is 4 years older than danny. eigt years ago carl was twice as old as danny. How old is danny now
Answer:
Karl is 16 and Danny is 12
Step-by-step explanation:
Zachary wants to ride his bicycle 26.8 miles this week. He has already ridden 8 miles.
If he rides for 4 more days, write and solve an equation which can be used to
determine m, the average number of miles he would have to ride each day to meet his
goal.
Answer:
4.7 ~~~ :D
Step-by-step explanation:
t = total...i = initial amount ridden......d = days..... m = average amount of miles
---------------
t = i +dm
26.8 = 8 + 4m
----------------- solve -----------------
26.8 = 8 + 4m ----> 18.8 = 4m ----> 4.7 = m
The expression is 26.8 = 8 + 4m and the average number of, miles he would have to ride each day to meet his goal is 4.7.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Let the attributes be, t = total, i = initial amount ridden, d = days, and m = average amount of miles.
The required expression can be written as below:-
t = i +dm
26.8 = 8 + 4m
The value of average miles will be calculated by solving the expression:-
26.8 = 8 + 4m
18.8 = 4m
4.7 = m
Therefore, the expression is 26.8 = 8 + 4m and the average number of, miles he would have to ride each day to meet his goal is 4.7.
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I NEED A ANSWER ASAP!!
A dog park is 100 yards long and the town wants to install water bowls for their beloved pups. If the town wants a water bowl at each end and every 20 yards i
between, how many water bowls need to be installed?
Answer:
5
Step-by-step explanation:
5*20=100
the cost of cookies at store A are shown in the graph. The cost y for x cookies at store B is represented by the equation y=o.30x. which of the following statements are true? F. the cookies at store A cost more G. the cookies at store A cost $0.50 each H. the cookies at store B cost $0.15 each I. the cookies at store B cost more I need help ASAP please
Answer:
I
Step-by-step explanation: pick I because The cookies at store B cost more
A high school athlete runs 1.00 ✕ 102 m in 13.65 s.
What is the velocity in m/s
What is the velocity in km/h?
answe:
102/13.65= 7.47m/s
then multoply by 3600 to get per hour
26.9 km/h
the total of this is 297197401415÷842035
Answer:
Approximately 352,951.36
Answer:
Step-by-step explanation:
= 297197401415+842035
= 297198243450
=297197401415/842035
=352951.363
x-5/3=1 in the simplest form
[tex]\\ \sf\longmapsto x-5/3=1[/tex]
[tex]\\ \sf\longmapsto x=1+5/3[/tex]
[tex]\\ \sf\longmapsto x=3+5/3[/tex]
[tex]\\ \sf\longmapsto x=8/3[/tex]
Done
[tex]\sf \longmapsto \: x- \dfrac{5}{3} =1[/tex]
Simplify both sides of the equation[tex]\sf \longmapsto \: x + \dfrac{ - 5}{ 3} = 1[/tex]
Add 5/3 to both sides[tex]\sf \longmapsto x + \dfrac{ - 5}{3} + \dfrac{5}{3} = 1 + \dfrac{5}{3} [/tex]
[tex]\sf \longmapsto \: x = \dfrac{8}{3} [/tex]
[tex] \boxed{\sf { \red{ x = \dfrac{8}{3}}} }[/tex]
also, this one I have an answer but not rly sure so um help
Answer:
h(x) = - 2x² + 3
Step-by-step explanation:
Given f(x) then f(x) + c is a vertical translation of f(x)
• If c > 0 then a shift up of c units
• If c < 0 then a shift down of c units
Here the shift is 7 units up , then
h(x) = f(x) + 7 = - 2x² - 4 + 7 = - 2x² + 3
Which of these are a multiple of 12? 2,8,16,24
Answer:
Step-by-step explanation:
24 is the multiple of 12
24 is a multiple of 12, so 24 is the correct answer of this question
which is the largest ratio? 5/36, 2:9, 3 to 18, 1:3
The measure of ones angle of a triangle is 40. The measure of the other two angles are in a ratio of 3:4
Answer:
40, 60, 80
Step-by-step explanation:
angles are 40, 3x, 4x
40+ 3x + 4x = 180
40 + 7x = 180
7x = 180 - 40
7x = 140
x = 20
so the angles are 40, 60, 80
Please show work, I have no idea how to do this
Answer:
161 Remainder 4
Step-by-step explanation:
trust me on this
Answer:
_
161.2 BUT if with remainder it is 161 with a remainder of 4
Step-by-step explanation:
By the way the 2 is a repeating number so make sure to add that line at the top.
You are paid 82.50 for 7 1/2 what is ur rate of par
HELP ME PLSSSSSSSSSSSSSSSSSSSS
Write the exponential function for the values in the table below.
Answer:
f(x) = [tex]8^{x}[/tex]
Step-by-step explanation:
[tex]\sqrt[3]{512} = 8\\\sqrt[4]{4096} = 8\\\sqrt[5]{32768} = 8[/tex]
which means 8 to the power of 3 will give you 512, to the fourth power will give you 4096.
So the exponential function is f(x) = [tex]8^{x}[/tex]
6. A pollster reports, with 95 percent confidence, that between 55 and 61 percent of all Americans favor mandatory drug testings for employees in positions of public trust (bus drivers, airline pilots, etc). The point estimate for the unknown population proportion (who favor mandatory drug testing) equals a) 55 percent. b) 58 percent. c) 61 percent. d) some unknown percent.
Answer:
b
Step-by-step explanation:
Which equations are true equations?
Select all correct answers.
54 ÷ 6 + 3² = 4 + 4²
8042=10−22−1
62−22=4+7⋅22
19−2⋅5=9⋅73−9
Answer:
B and C
Step-by-step explanation:
Took the test and 80/4^2 = 10 - 2^2 - 1 and 6^2−2^2=4+7⋅2^2 are the answers. Hope this helps :D
None of the equations is true.
What is an equation?Two or more expressions with an equal sign are defined as an equation.
The first equation is 54 ÷6 + 3² =4 + 4².
Simplify the equation:
54 ÷6 + 3² =4 + 4²
9 + 9 = 4 + 16
18 = 20
The left side and the right side of the equation are not equal, hence the first equation is not true.
Simplify the second equation:
8042 = 10-22-1
8042 = -13
The second equation is also false.
Simplify the third equation:
62−22=4+7⋅22
40 = -11
The third equation is also false.
Simplify the fourth equation:
19−2⋅5=9⋅73−9
16.5 = 0.73
The fourth equation is also false.
Hence, none of the equations is true.
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7. Which three lengths could be the lengths of the sides of a triangle
O 11 cm, 11 cm, 24 cm
O 18 cm, 12 cm, 9 cm
O9 cm,
19 cm,
10 cm
O4 cm, 7 cm, 23 cm
The sum of the lengths of two sides of a triangle cannot be less than the length of the third side.
So,
3.9cm, 19cm, 10cm
what is coefficient of 10 and a constant of 5?
Answer:
10x+5.................
d+(-9)=-5
i need to solve for d. thank u
Answer:
4
Step-by-step explanation:
d - 9 = -5
Add 9 to -5, and you will get 4.
4 - 9 = -5
Answer:
d=4
Step-by-step explanation:
d+(-9)=-5
d=-5+9
d= 4