Answer:
[tex]Pr = \frac{1}{6}[/tex]
Step-by-step explanation:
Given
[tex]S = \{1,2,3,4,5\}[/tex]
[tex]n = 5[/tex]
Required
Probability the third term is 3
First, we calculate the possible set.
The first must be prime (i.e. 2, 3 and 5) --- 3 numbers
[tex]2nd \to 4\ numbers[/tex]
[tex]3rd \to 3\ numbers[/tex]
[tex]4th \to 2\ numbers[/tex]
[tex]5th \to 1\ number[/tex]
So, the number of set is:
[tex]S = 3 * 4 * 3 * 2 * 1[/tex]
[tex]S = 72[/tex]
Next, the number of sets if the third term must be 2
[tex]1st \to 2[/tex] i.e. 1 or 5
[tex]2nd \to 3\ numbers[/tex] ---- i.e. remove the already selected first term and the 3rd the compulsory third term
[tex]3rd \to 1\ number[/tex] i.e. the digit 2
[tex]4th \to 2\ numbers[/tex]
[tex]5th \to 1\ number[/tex]
So
[tex]r = 2 * 3 * 1 * 2 * 1[/tex]
[tex]r = 12[/tex]
So, the probability is:
[tex]Pr = \frac{r}{S}[/tex]
[tex]Pr = \frac{12}{72}[/tex]
[tex]Pr = \frac{1}{6}[/tex]
factorise 1000a^2+27b^2
what is bigger 35% or 2/5
Answer:
35% = .35
2/5 = 4/10 = .4
.4 >.35
Step-by-step explanation:
[(63 ÷ 18)2 − 8] * 5 pls help meee
Answer:
-5
Step-by-step explanation:
use PEMDAS. In this problem, solve 63 divided by 18 first, the prcoeed from there.
[(63/18)2-8]*5
[(3.5)2-8]*5
3.5*2 is 7
[7-8]*5
[-1]*5 = -5
Use a calculator to find the mean of the data. {21.6, 25, 20.6, 24.6, 20.3, 25.2, 22.8, 24.1, 22.5, 22.5, 22.6, 22, 24.6, 23.6, 23.5, 22, 24.4, 20.9, 21.4, 20.5, 23.2}
Answer:
22.8
Step-by-step explanation:
I just did the math :)
The mean of a given set of data is 22.8.
What is the arithmetic mean?Arithmetic mean is defined as the ratio of the sum of observations to the total number of observations. It can be referred to as the average of a specific set of data or the arithmetic mean. One of the basic methods used to acquire a result, the term "Mean" is commonly used in the field of statistics.
The formula for the mean of a given set of data is as follows:
Mean = Sum of Observations/Total number of observations
Given the set of observations as :
{21.6, 25, 20.6, 24.6, 20.3, 25.2, 22.8, 24.1, 22.5, 22.5, 22.6, 22, 24.6, 23.6, 23.5, 22, 24.4, 20.9, 21.4, 20.5, 23.2}
Here, n = 21
⇒ ∑x = Sum of Observations
⇒ ∑x = 478.8
Mean = ∑x/n
Mean = 478.8/21
Mean = 22.8
Hence, the mean of the given data is 22.8.
Learn more about what Arithmetic means here:
https://brainly.com/question/13000783
#SPJ5
find the unknown anagels in the following figure
Answer:
ABC=BCD
so, X=60'
Z= 70'
Y=50'
At the scene of an accident on a country road, police find skid marks stretching for 50 m.
Tests on the road surface show that a skidding car decelerates at 6.5 ms-2. Was the car which
skidded exceeding the speed limit of 25 ms-1 (90 kmh-1) on this road?
A. Yes B. No C. The information given is not sufficient.
Answer:
h and the rest are the best for me 7-Eleven you have to go for your
Step-by-step explanation:
happy new years and hope you have not forgotten you and have been busy happy weekend to your the as is have weekend lot here well the there is you idom not you big very for hard while and there can't a help night get be to good in the world of the world and the world is a doctor that is a good friend and is not a good person .
given: y=8-3x find the slope and y intercept
Answer:
Step-by-step explanation:
y = mx + b
"m" is slope ; "b" is y-intercept.
~~~~~~~
y = - 3x + 8
m = - 3
b = 8
ANSWER IN LESS THAN 10 MINS FOR BRAINLESS!!!!
Answer:
x = -5 and y = -8
Step-by-step explanation:
Write a linear equation that goes through the points (-8,-1) and (-6,5) with a
y-intercept of 23.
Prove that angle ADC is congruent to angle CBA
with solution!
Step-by-step explanation:
< i'll use this too represent angle
this is only presuming that this is a parallelogram and i also don't know what those numbers mean
< ACB = < CAD (alt <s of DA II CB) A
< ACD = < CAB (alt <s of DC II AB) A
AB is common S
therefore, ∆ADC is congruent to ∆CBA
if ∆ADC is congruent to ∆CBA
then < ADC = < CBA
Emma is making posters by hand to advertise her school play, but her posters are not the same
length as a standard sheet of paper (the width is the same, though). She has 3 1/2 sheets of paper
left over, which she says is enough to make 2 1/3 posters. How many sheets of paper (and parts of
a sheet) does each poster use?
Answer:
1 1/2 sheets
Step-by-step explanation:
7/3 x = 7/2
x=3/2
x²-2x=8
x² - 2x - 8 = 0
x² - 2x - 4x = 0
(x - 2) (x - 4)=0
x - 2 =0 therefore x = 2
or
x - 4 =0 therefore x = 4
Answer:
x=4 x = -2
Step-by-step explanation:
x²-2x=8
Subtract 8 from each side
x^2 -2x-8 = 8-8
x^2 -2x -8=0
What two numbers multiply to -8 and add to -2
-4*2 = -8
-4+2 = -2
(x-4) (x+2) =0
Using the zero product property
x-4 =0 x+2 =0
x=4 x = -2
List the coordinates for the plotted points A, B, C, and D.
Answer:
A= (3,1) ; B=(-2,-1) ; C=(-4,1) ; D=(-4,0)
Step-by-step explanation:
Plotted points are expressed by (x,y) , where the x is equal to the value that you read on the x plot and y is equal to the value that you read on the y plot.
Helps me plz
a=8, b=15, c=
Answer:
c
Step-by-step explanation:
I think its c
Please do this ASAP, it’s due in 30 minutes!
Thank you!
No links<3
Answer:
I think it is -24t+20 if you want to simplify
Step-by-step explanation:
Answer:
-24t + 20
Step-by-step explanation:
First, remove the parentheses
Then, multiply 6 by 5
Then expand 3(2t+4) - 30t + 8
Finally simplify 6t + 12 - 30t + 8
-24t + 20
Hope this helps!
A loan on an investment property closed on July 1st for $765,000 at 5.5% interest amortized over 25 years at $4,697.77 per month. Using a 360-day year, what would the principal amount be after the monthly payment was made August 1st
Answer:
$763,808.48
Step-by-step explanation:
765,000 - (4,697.77 - (765,000 * .055/12)) =
$763,808.48
Please help me: 1/2(6h-4) = -5h+1
Answer:
h = 3/8
Step-by-step explanation:
1/2(6h-4) = -5h+1
Distribute
3h -2 = -5h+1
Add 5h to each side
3h-2+5h = -5h+1+5h
8h-2 = 1
Add 2 to each side
8h-2 +2 = 1+2
8h = 3
Divide by 8
8h/8 = 3/8
h = 3/8
There are 3 red marbles and 2 black marbles in a bag. What is the probability of drawing a black marble from the bag two times in a row if the marbles are replaced after each draw?
Answer:
4/25
Step-by-step explanation:
3 red marbles and 2 black marbles in a bag = 5 marbles
P(black) = black/total = 2/5
Replace marble
3 red marbles and 2 black marbles in a bag = 5 marbles
P(black) = black/total = 2/5
P(black, replace, black) = 2/5 * 2/5 = 4/25
Given the proportion (a/b) = (c/d), solve for c.
Answer:
c = da/b
Step-by-step explanation:
a/b = c/d
a/b x d = c
c = da/b
What is the value of 1/4 {38-14} + 3^3 divided by 9
Answer:
9
Step-by-step explanation:
See the picture for steps :)
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{\dfrac{1}{4} (38 -14) + \dfrac{3^3}{9}}[/tex]
[tex]\mathsf{38-14=\bf 24}[/tex]
[tex]\mathsf{= \ \dfrac{1}{4} (24)+\dfrac{3^3}{9}}[/tex]
[tex]\mathsf{\dfrac{1}{4}(24)= \bf 6}[/tex]
[tex]\mathsf{= \ 6+\dfrac{3^3}{9}}[/tex]
[tex]\mathsf{3^3}\\\mathsf{= 3\times3\times3}\\\mathsf{= 9\times3}\\\mathsf{= \bf 27}[/tex]
[tex]\mathsf{= \ 6+\dfrac{27}{9}}[/tex]
[tex]\mathsf{\dfrac{27}{9}}\\\mathsf{= 27\div9}\\\mathsf{= \bf 3}[/tex]
[tex]\mathsf{= \ 6 + 3}[/tex]
[tex]\mathsf{= \bf 9}[/tex]
[tex]\boxed{\boxed{\huge\text{Therefore, your ANSWER is: \textsf 9}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
find the indicated functional value for the floor function: f(-3/2)
a. -2
b. 0
c. -1
d. 1
Answer:
find the indicated functional value for the floor function: f(-3/2)
B. 0
Step-by-step explanation:
hope it helped.
° ° °
The indicated functional value for the floor function is option (C) -1 is the correct answer.
What is floor function?The floor function is the function that takes as input a real number x, and gives as output the greatest integer less than or equal to x, denoted floor(x) or f(x). It gives the largest nearest integer of the specified value.
For the givens situation,
The floor function is f(-3/2).
The indicated functional value for the floor function is
⇒ [tex]f(-3/2)= f(-1.5)[/tex]
Here x = -1.5, the indicated functional value should be a greatest integer less than or equal to x.
Thus the indicated functional value of [tex]f(-1.5)[/tex] is [tex]-1[/tex].
Hence we can conclude that the indicated functional value for the floor function is option (C) -1 is the correct answer.
Learn more about floor function here
https://brainly.com/question/10677594
#SPJ2
The number of mice living in a field triples each year. What type of function
represents this pattern?
Answer:
C - exponential growth
Step-by-step explanation:
Answer:
The answer should be C
Step-by-step explanation:
Tìm nghiệm của đa thức sau:2x mũ 2-5x-3
Help plz!!!!!!!!!!!!
Answer:
Option A, 90
Step-by-step explanation:
105×2-120
= 210-120
= 90
Vector u has its initial point at (-7, 2) and its terminal point at (11, -5). Vector v has a direction opposite that of vector u, and its magnitude is three times the magnitude of u. What is the component form of vector v?
A. v = <-54, 63>
B. v = <-162, -63>
C. v = <-54, 21>
D. v = <-162, 21>
Answer:
Answer is C) V= <-54,21>
Step-by-step explanation:
Compenent form of v is <-54,21>
kx - c = 9 solve for x
Answer:
x = [tex]\frac{9+c}{k}[/tex]
Step-by-step explanation:
Given
kx - c = 9 ( add c to both sides )
kx = 9 + c ( isolate x by dividing both sides by k )
x = [tex]\frac{9+c}{k}[/tex]
Oak wilt is a fungal disease that infects oak trees. Scientists have discovered that a single tree in a small forest is infected with oak wilt. They determined that they can use this exponential model to predict the number of trees in the forest that will be infected after t years.
f(t) = e^0.4t
The scientists believe the forest will be seriously damaged when 21 or more of the forest’s 200 oak trees are infected by oat wilt. According to their model, how many years will it take for 21 of the trees to become infected?
Type the correct answer in the box. Use numerals instead of words. Round your answer to the nearest tenth.
To solve this question, we need to solve an exponential equation, which we do applying the natural logarithm to both sides of the equation, getting that it will take 7.6 years for for 21 of the trees to become infected.
Model:
The exponential model for the number of infected trees after t years is given by:
[tex]f(t) = e^{0.4t}[/tex]
How many years will it take for 21 of the trees to become infected?
This is t for which:
[tex]f(t) = 21[/tex]
Thus
[tex]e^{0.4t} = 21[/tex]
Applying the natural logarithm to both sides:
[tex]\ln{e^{0.4t}} = \ln{21}[/tex]
[tex]0.4t = \ln{21}[/tex]
[tex]t = \frac{\ln{21}}{0.4}[/tex]
[tex]t = 7.6[/tex]
It will take 7.6 years for for 21 of the trees to become infected.
For another example of a problem in which an exponential equation is solved, you can check brainly.com/question/24290183.
At the mall you spent a total of $170.86. You bought 2 pairs pf jeans for $39.95 each, a jacket for
$45.99, and shirts for $14.99 each. How many shirts did you buy?
Answer:
3
Step-by-step explanation:
Total Money Spent = $170.86
Cost of each jeans = $39.95x2 = 79.9
Cost of each Jacket = $45.99
Cost of each shirt = $14.99
=79.9 + 45.99
=125.89
=170.86 - 125.89
=44.97
=44.97 / 14.99
=3
Answer From Gauth Math
in how many ways can 7 people line if A needs to be first or last and B needs to be in the middle
Answer:
Assuming person A and person B are part of the 7 people, there are 10 ways the 7 people can line up if A needs to be first or last and B needs to be in the middle.
Step-by-step explanation:
There are 2 places for A (first, last) and 5 places for B (anywhere but first or last). 2 x 5 = 10.
Số hạng đầu và số hạng thứ 2 của một cấp số nhân lần lượt là x+2 và x^2 -4 số hạng thứ 3 của cấp số nhân này là
Answer:
x³-2x²-4x+8
Step-by-step explanation:
a1=x+2
a2=x²-4⇒q=a2/a1=x-2
⇒a3=q.a2=(x-2).(x²-4)=x³-2x²-4x+8
