Answer:
The probability of obtaining the letter p twice is 1/121
Step-by-step explanation:
Probability of Recurring Events
There are 11 letters in the word 'independent', one of which is the letter 'p'.
When those letters are written on individual cards and they are put into a box, there are 11 different choices to pick at random.
This means the individual probability of getting a 'p' is:
[tex]\displaystyle P_1=\frac{1}{11}[/tex]
The card is reinserted into the box, leaving the sample space unaltered, thus the second card has the same probability:
[tex]\displaystyle P_2=\frac{1}{11}[/tex]
We'll use the multiplication rule. Just multiply the probability of the first event by the second.
[tex]\displaystyle P=P_1*P_2=\frac{1}{11}*\frac{1}{11}[/tex]
[tex]\displaystyle P=\frac{1}{121}[/tex]
The probability of obtaining the letter p twice is 1/121
cos(0)=square root 3/3, sin 0<0. what is the value of sin0
Answer:
sin θ = [tex]\frac{\sqrt{6} }{3}[/tex]
Step-by-step explanation:
Given that,
cos θ = [tex]\frac{\sqrt{3} }{3}[/tex]
From the trigonometric functions,
cos θ = [tex]\frac{adjacent}{hypotenus}[/tex]
⇒ adjacent = [tex]\sqrt{3}[/tex], and the hypotenuse = 3
Let the opposite side be represented by x, applying the Pythagoras theorem we have;
[tex]/hyp/^{2}[/tex] = [tex]/adj/^{2}[/tex] + [tex]/opp/^{2}[/tex]
[tex]/3/^{2}[/tex] = [tex](\sqrt{3} )^{2}[/tex] + [tex]x^{2}[/tex]
9 = 3 + [tex]x^{2}[/tex]
[tex]x^{2}[/tex] = 9 - 3
= 6
x = [tex]\sqrt{6}[/tex]
Thus, opposite side = [tex]\sqrt{6}[/tex]
So that,
sin θ = [tex]\frac{opposite}{hypotenuse}[/tex]
= [tex]\frac{\sqrt{6} }{3}[/tex]
Therefore,
sin θ = [tex]\frac{\sqrt{6} }{3}[/tex]
A pizza with one topping costs $11.
Each additional topping costs $2
more. Write a recursive formula
and an explicit formula for the
situation.
explicit formula:
recursive formula:
Given:
A pizza with one topping costs $11. Each additional topping costs $2 more.
To find:
The recursive formula and an explicit formula for the situation.
Solution:
The sequence of costs of pizza is
11, (11+2), (11+2+2), ...
11, 13, 15, ... are in A.P.
Here,
First term: a=11
Common difference: d=2
Explicit formula of an A.P. is
[tex]a_n=a+(n-1)d[/tex]
where, a is first term and d is common difference.
[tex]a_n=11+(n-1)2[/tex]
[tex]a_n=11+2n-2[/tex]
[tex]a_n=9+2n[/tex]
Therefore, the explicit formula for the situation is [tex]a_n=9+2n[/tex].
Recursive formula of an A.P. is
[tex]a_n=a_{n-1}+d[/tex]
Where, [tex]a_1[/tex] is first term and d is common difference.
[tex]a_n=a_{n-1}+2[/tex]
Where, [tex]a_1=11[/tex].
Therefore, the required recursive formula is [tex]a_n=a_{n-1}+2[/tex] where [tex]a_1=11[/tex].
Linden Middle School has 480 students. The number of students is increasing by 5% next year
How many students will there be? (Please do step by step)
Answer:
Please do step by step)
hope I gave
PLEASE I NEED HELP AND I ONLY HAVE AN HR Question 2 (4 points)
(04.02)
Determine whether the graph represents a proportional relationship. (4 points)
A graph is shown. The x-axis is labeled from 0 to 9. The y-axis is labeled from 0 to 15. Four points are shown on the graph on ordered pairs 0, 2 and 1, 6 and 2, 10 and 3, 12. These points are joined by a line. The label on the x-axis is Number of cars. The title on the y-axis is Number of wheels.
a
Yes, it is a proportional relationship because the graph goes through the origin
b
Yes, it is a proportional relationship because the graph is a straight line
c
No, it is not a proportional relationship because the graph is not a straight line
d
No, it is not a proportional relationship because the graph does not go through the origin
------> The Answer Is C <------
Hope this helps have a good day :D
Write a linear function f with the values f(0) = 1 and f(-2)=-3,
Oy=-2x-3
O y = x + 2
O y = 2x + 1
O y=-3x + 1
8 less than the product of 6 and a number is the same as twice the number diminished by 10
6x - 8 = 2x - 10
This is the equation
Andrew swims 22 laps at the same rate, how long does it take him
Answer:
who knows
Step-by-step explanation:
who knows
If 12 cookies cost $3 how much would it be for 9 cookies
And this is Ari, signing off
Answer:
Byeee again haha
Step-by-step explanation:
Yea I'm answering this question again
A specific moderator deleted a lot of my answers almost all at once and for the reason that I didn't answer the question the people were asking, it's pretty weird as all the questions were either free points or very extremely straightforward questions like "what dynasty started the great wall" and usually when a moderator sees those they delete them but they just deleted my answer for almost no reason haha
Well if u see this then have a great day!
Answer:
ok :)
Step-by-step explanation:
Consider best strategy to solve the problem.
On a field trip, the ratio of teachers to students is 1:25. If there
are 5 teachers on the field trip, how many students are on the
trip?
5:1,25=4
1/4 teacher plus for echipa studenta.
PLease help with mathhh
Answer:
its is the 3rd one lol
Answer:
It would be the fourth option, -4/3 p + (-2/5)
Step-by-step explanation:
Notice that there's a positive sign followed by a negative sign, when we simplify this it becomes a negative sign. So simplified, this expression would be -4/3 p - 2/5, which makes it the closest to the given expression.
EDIT:
I just realized that there's more than one option, hence the instruction. So I looked through the options again and I believe the other answer would be -2/5 - 4/3 p (second option) -- the fractions only switched places unlike the other expressions where the negative/positive signs aren't equivalent to the given fraction.
in the coordinate plane, triangle ABC has vertices A(1,-2), B(1,0.5), and C(2,1) and triangle DEF has vertices D(4,-3), E(4,2), and F(6,3). The triangles are similar because DEF is the image of ABC under a dilation with center (_,_) and scale factor ___.
PLEASE HELPP
Answer:
(A) the center of dilation is at (-2,-1)
(E) the scale factor is 2
The triangle DEF is a dilation of triangle ABC with center of dilation at (0,0) and scale factor of 0.5.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
The ratio of the lengths of corresponding sides of triangles ABC and DEF.
AB and DE are corresponding sides, so:
AB/DE = (distance between A and B) / (distance between D and E)
= 2.5 / 5
= 0.5
BC and EF are corresponding sides, so:
BC/EF = (distance between B and C) / (distance between E and F)
=1.118 / 2.236
= 0.5
AC and DF are corresponding sides, so:
AC/DF = (distance between A and C) / (distance between D and F)
AC/DF = 2.236 / 4.472
= 0.5
We see that all three ratios are equal to 0.5.
Hence, the triangle DEF is a dilation of triangle ABC with center of dilation at (0,0) and scale factor of 0.5.
To learn more on Triangles click:
https://brainly.com/question/2773823
#SPJ1
what are the coordinates of the point X'if the image is rotated 90° counter clockwise
Step-by-step explanation:
When rotating a point 90 degrees counterclockwise about the origin our point A(x,y) becomes A'(-y,x). In other words, switch x and y and make y negative
6. A ball is selected at random from a bag containing
3 red balls, 4 black balls and 5 green balls. The
first ball is replaced and a second is selected. Find
the probability of obtaining:
(a) two red balls,
(b) two green balls.
Answer:
two green balls
Step-by-step explanation:
because of many reasons boy
Answer:
a. 1/16 b. 25/144
Step-by-step explanation:
Since the bag does not change each time, the probability stays the same. To get the desired outcome both times, we must square the probability.
whats the slope intercept form of 5x-14y=-10
Answer: y = 5/14x + 5/7
Step-by-step explanation: write in slope intercept form y =mx + b
Genna purchased a pair of shoes on a web site.The original price of the shoes was $120. She used the coupon code to receive a 20% discount. The web applied a 15% service fee to the discounted price. Genna's shoes were less than the original price by what percent
Answer:
use calculater
Step-by-step explanation:
Prepare the journal entry to record the issuance of 5,000 shares of $20 par common stock for $25 per share
Answer:
value preferred stock for $65,250 cash
HOPE THIS HELP PLEASE TOUCH THANKS.please help me<3
i will give brainliest to the right answer
Answer:
26.5
Step-by-step explanation:
Because the sales is $530 and the commission rate is 5%, the commission would be 5% of the sales, which would be $26.5
Solve for a .
5.4 = a - (-1.8)
a =
Answer:
3.6 = a
Step-by-step explanation:
5.4 = a - ( -1.8)
Distribute minus sign.5.4 = a + 1.8
Move constant to the left hand side and change their sign.5.4 - 1.8 = a
3.6 = a
WILL GIVE BRAINLIEST
just need answer:)
What is the length of AC on a right triangle 84 156-x 7
Answer:
144
Step-by-step explanation:
i just took the test
Solve for y given the lines are parallel
Answer:
I believe the y is parallel :)))))))))
Answer:
35 degrees
Step-by-step explanation:
70 divided by 2 is 35.
And both sides are equal to each other bc the lines are parallel.
Give the domain and range.
Answer:
option a is correct answer
What is an equation of the line that passes through the points (-2, 1) and (-6,-5)
Answer:
y=3/2x+4
Step-by-step explanation:
I am pretry sure
⚠️HELP PLZ TIMED⚠️
What is the least common denominator of the equation 3/4(x-3)-1/2=2/3
O 2
O9
12
O 36
Simplify. 3/4−4x+1/2x−1/2+1/2x Enter your answer in the box. Do not use decimals in your answer
Answer:
-3x+1/4
Step-by-step explanation:
hope this helps!
Answer:
-3x+1/4
Step-by-step explanation:
i got it right on k12
A group of friends wants to go to the amusement park. They have $79.50 to spend on parking and admission. Parking is $19.50, and tickets cost $10 per person, including tax. Write and solve an equation which can be used to determine x, the number of people who can go to the amusement park.
Answer:
x = 6. six friends can go.
Step-by-step explanation:
79.50 - 19.50 = 60.00
60/10 = 6 people
The number of people that can go to the amusement park is six.
The information in the question can be represented with this equation:
Total amount the friends have = cost of parking + (cost of ticket x number of friends)
$79.50 = $19.50 + $10 × x
$79.50 = $19.50 + $10x
The equation that would be used to solve for the number of friends that can go to the amusement park, the equation that would be used is: $79.50 = $19.50 + $10x
Combine similar terms
$79.50 - $19.50 = $10x
$60 = $10x
Divide both sides of the equation by 10
$60 / $10 = x
x = 6
A similar question was answered here: https://brainly.com/question/20471133?referrer=searchResults
PLZ HELP ME WITH THIS!!! I WOULD MARK YOU BRAINLIEST!!!
the answer will be 2.5 hope that helps you
Answer:
2.5 or in other terms 2 1/2
Step-by-step explanation:
Select all expressions that are equivalent to 8.8.8.8.8
Answer:
the first one
the third one
and the forth one
Step-by-step explanation:
they all add up to the same amount
Multiply. Write in simplest form. 2 1/2 x 1 1/2
Answer:
3.75 or 3 3/4
Step-by-step explanation:
Answer:
3.75 or 3 3/4
Step-by-step explanation:
2 1/2 or 2.5 x 1 1/2 or 1.5 is 3 3/4 or 3.75
Hope it helps!