Answers
Related Questions
First, write the fractions as decimals.
3
4
is
vand
11
1
2
IS
Next, plot the numbers on the number line.
The least number is
The greatest number is
The correct order from least to greatest is
Answers
Answer: d,d,a,,d,c,
Step-by-step explanation:
Answer:
ddadc
Step-by-step explanation:
You can replace any letter in function notation with any number.
A.
True
B.
False
Answers
what is the are in square feet of a 100 yard by 60 yard football field
Answers
1 yard = 3 feet
100 yards = 300 feet
60 yards = 180 feet
Area = 300ft * 180ft
Area = 54,000 ft^2
what does the graph of f(x)=-2/3x+490 represent
Answers
Answer:
search that question up on brainly it got the answer bruu
Step-by-step explanation:
Jessie is playing a game and bets $5 on the come out roll. If a 7 or 11 is rolled, she wins $5. This happens with a probability of 29. If a 2,3,or12 is rolled, she loses her $5. This has a probability of 19. If any other number is rolled, she does not win or lose, and the game continues. Find the expected value for Jessie on the come out roll.
Answers
Answer:
.
Step-by-step explanation:
We want to find the expected value for Jessie on the come out roll.
The expected value is EV = $0.50
We know that for an event with outcomes {x₁, x₂, ..., xₙ}, each with probability {p₁, p₂, ..., pₙ}, the expected value is given by:
EV = x₁*p₁ + x₂*p₂ + ... + xₙ*pₙ
Where the probabilities are written in decimal form.
We have the outcomes:
x₁ = winning $5.
p₁ = 0.29
x₂ = losing $5
p₂ = 0.19
x₃ = not win nor lose
p₃ = 1 - 0.19 - 0.29 = 0.52
Then the expected value is:
EV = $5*0.29 - $5*0.19 + $0*0.52 = $0.50
If you want to learn more, you can read:
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Which rate is the lowest price?
$3.00/6 lb
$2.50/5 lb
$2.40/4 lb
$2.40/6 lb
Answers
$2.50/2=2
$2.40/4=.60
$2.40/6=.40 this is the lowest price
IF YOU ANSWER THIS YOU WILL HAVE BRAINLIEST AND FRIEND REQUEST
Answers
Answer:
Uhm answer what? there is no picture nor question.
Step-by-step explanation:
theres nothing there
Step-by-step explanation:
do u play among us
Kim received a discount of $8.60 when she purchased an item for $20. What was the percent of the discount?
Answers
The percentage of the discount is 43%
To find this answer you have to butterfly multiply, in other words, you have 8.60 over 20 (20 representing the 100% of the total amount and 8.60 being the amount of the discount that has to be found). With the two over each other in a fraction form, you multiply the numerator by the 100. Then you divide that product by the denominator. In this case it would be 8.60 x 100 divided by 20. Equaling 43.
Hope this helps!
what is the value of x (M5/6) (M1/6)square root of 7=mxsquare
Answers
Answer:
it turns out google has the answer
Step-by-step explanation:
can i get brainlyest
Riley needs to save at least $150 for a new phone. She has already saved $80. If she can
set aside $14 each week, how many weeks does she need to save money before she can
purchase the phone she wants?
HELP!!!
Answers
Answer:
5
Step-by-step explanation:
Since Riley has already saved 80 dollars and she needs to save 150 dollars.
150-80=70
She earns 14 dollars per week:
70/14=5
I also wrote a equation:
(150-80)/14=x
Hope this was helpful!
Use the graph to answer the question.
What is the average rate of change from x = 3 to x
= 11?
0 -8
1
001-
1
8
08
Answers
Answer:
Negative 1/8 is the answer
GE = 5x+36 and GF=2x+51 . What is the value of x?
Answers
Answer:
x = 5
Step-by-step explanation:
5x + 36 = 2x + 51
5x -2x = -36 + 51
3x = 15
15/3
x = 5
A geologist wants to determine the distance across the widest part of a nearby lake. The geologist marked off specific points around the lake so that the line containing segment DE would be parallel to the line containing BC. The segment BC is selected specifically because it is the widest part of the lake. The segment DE is selected specifically because it is a short enough distance to easily measure. Use this diagram to answer the following questions.
1. Is ADE similar to ABC'? How do you know? *
Yes. All three sides are proportional.
Yes. Two or more angles are equivalent.
No. Side lengths are not proportional.
There is insufficient information to determine similarity.
2. If ADE is similar to ABC, and |AD| = 1,200 ft and |AB| = 3,600 ft, what is the length of segment BC?
2,700 ft
1,600 ft
2,100 ft
2,400 ft
3. If ABC is similar to ADE what is the length of segment AC? *
5 points
2,000 ft
3,000 ft
2,400 ft
2,800 ft
Answers
Answer:
1. Yes. Two or more angles are equivalent
2. 2700 ft
3. 3000 ft
Step-by-step explanation:
1.
∠EAD = ∠CAB (same angle)
∠AED = ∠ACB (because AC is a straight line and ED and CB are parallel)
2.
1200:3600
1:3
This means that for any given side for triangle AED, the corresponding side for triangle ACB is three times bigger. ED corresponds to CB, so:
900 x 3 = 2700
3.
We know that for any given side for triangle AED, the corresponding side for triangle ACB is three times bigger. AE corresponds to AC, so:
1000 x 3 = 3000
I need help please, i don’t know how to solve it?
Answers
Answer:
b. 22 square root of 58 is 7.6 multiplied to 3 is 22
Answer:
B 22
Step-by-step explanation:
please helpwill give brainlyest
Answers
Answer:
10/9
Step-by-step explanation:
1/3+7/9=10/9
Step-by-step explanation:
= 1 + 7
3 9
= 9+21
27
= 28
27 ans
5. Identify the type and subtype of each of the fol-
lowing problems.
a. Shawn has 15 marbles, which is 7 more mar-
bles than Kyle has. How many marbles does
Kyle have?
b. Tiffany has 12 blocks, 5 of which are cubes
and the rest cylinders. How many blocks are
cylinders?
c. Peter had some carrots. After he ate 3 of
them, he had 14 carrots left. How many car-
rots did Peter have before?
d. In a bag of 17 marbles, 9 marbles belong to
Kelly and the rest belong to Shauntay. How
many marbles belong to Shauntay?
Answers
Answer:
a) Kylie has 8 marbles
b) 7 Cylinders
c) 17 carrots
d) 8 marbles belong to Shauntay
Step-by-step explanation:
5. Identify the type and subtype of each of the fol-
lowing problems.
a. Shawn has 15 marbles, which is 7 more marbles than Kyle has. How many marbles does Kyle have?
Shawn = 15 marbles
S = K + 7
15 = K + 7
K = 15 - 7
K = 8 marbles
Kylie has 8 marbles
b. Tiffany has 12 blocks, 5 of which are cubes and the rest cylinders. How many blocks are cylinders?
T = 12 blocks
Cubes = 5
Cylinders = the rest
12 blocks = Cubes + Cylinders
Cylinders = 12 - Cubes
Cylinders = 12 - 5
Cylinder = 7
c. Peter had some carrots. After he ate 3 of them, he had 14 carrots left. How many carrots did Peter have before?
Number of carrots Peter has before
= Number of carrots he ate + Number of carrots he has now
= 14 + 3
= 17 carrots
d. In a bag of 17 marbles, 9 marbles belong to Kelly and the rest belong to Shauntay. How many marbles belong to Shauntay?
Total number of Marbles = 17
Kelly = 9 marbles
Shauntay = ?
Total = Kelly + Shauntay
Shauntay = Total - Kelly's marbles
= ( 17 - 9) marbles
= 8 marbles
8 marbles belong to Shauntay
Answer:
a) Kylie has 8 marbles
b) 7 Cylinders
c) 17 carrots
d) 8 marbles belong to Shauntay
Step-by-step explanation:
5. Identify the type and subtype of each of the fol-
lowing problems.
a. Shawn has 15 marbles, which is 7 more marbles than Kyle has. How many marbles does Kyle have?
Shawn = 15 marbles
S = K + 7
15 = K + 7
K = 15 - 7
K = 8 marbles
Kylie has 8 marbles
b. Tiffany has 12 blocks, 5 of which are cubes and the rest cylinders. How many blocks are cylinders?
T = 12 blocks
Cubes = 5
Cylinders = the rest
12 blocks = Cubes + Cylinders
Cylinders = 12 - Cubes
Cylinders = 12 - 5
Cylinder = 7
c. Peter had some carrots. After he ate 3 of them, he had 14 carrots left. How many carrots did Peter have before?
Number of carrots Peter has before
= Number of carrots he ate + Number of carrots he has now
= 14 + 3
= 17 carrots
d. In a bag of 17 marbles, 9 marbles belong to Kelly and the rest belong to Shauntay. How many marbles belong to Shauntay?
Total number of Marbles = 17
Kelly = 9 marbles
Shauntay = ?
Total = Kelly + Shauntay
Shauntay = Total - Kelly's marbles
= ( 17 - 9) marbles
= 8 marbles
8 marbles belong to Shauntaya) Kylie has 8 marbles
b) 7 Cylinders
c) 17 carrots
d) 8 marbles belong to Shauntay
Step-by-step explanation:
5. Identify the type and subtype of each of the fol-
lowing problems.
a. Shawn has 15 marbles, which is 7 more marbles than Kyle has. How many marbles does Kyle have?
Shawn = 15 marbles
S = K + 7
15 = K + 7
K = 15 - 7
K = 8 marbles
Kylie has 8 marbles
b. Tiffany has 12 blocks, 5 of which are cubes and the rest cylinders. How many blocks are cylinders?
T = 12 blocks
Cubes = 5
Cylinders = the rest
12 blocks = Cubes + Cylinders
Cylinders = 12 - Cubes
Cylinders = 12 - 5
Cylinder = 7
c. Peter had some carrots. After he ate 3 of them, he had 14 carrots left. How many carrots did Peter have before?
Number of carrots Peter has before
= Number of carrots he ate + Number of carrots he has now
= 14 + 3
= 17 carrots
d. In a bag of 17 marbles, 9 marbles belong to Kelly and the rest belong to Shauntay. How many marbles belong to Shauntay?
Total number of Marbles = 17
Kelly = 9 marbles
Shauntay = ?
Total = Kelly + Shauntay
Shauntay = Total - Kelly's marbles
= ( 17 - 9) marbles
= 8 marbles
8 marbles belong to Shauntay
Step-by-step explanation:
If x² + xy – 3y = 3, then at the point (2, 1), dy/dx
(A) 5
(B) 4
(C) 7/3 (D) 2
Answers
Answer:
A
Step-by-step explanation:
We are given the equation:
[tex]x^2+xy-3y=3[/tex]
And we want to find dy/dx at the point (2, 1).
Find dy/dx. We can take the derivative of both sides with respect to x:
[tex]\displaystyle \frac{d}{dx}[x^2+xy-3y]=\frac{d}{dx}[3][/tex]
Implicitly differentiate:
[tex]\displaystyle 2x+y+x\frac{dy}{dx}-3\frac{dy}{dx}=0[/tex]
Solve for dy/dx:
[tex]\displaystyle \begin{aligned} x \frac{dy}{dx} - 3\frac{dy}{dx} & = -2x - y \\ \\ \frac{dy}{dx}(x - 3) & = -2x - y \\ \\ \frac{dy}{dx} & = \frac{-2x-y}{x-3} \\ \\ & = \frac{2x+y}{3-x} \end{aligned}[/tex]
To find dy/dx at (2, 1), evaluate dy/dx for x = 2 and y = 1. Hence:
[tex]\displaystyle \frac{dy}{dx}\Big|_{(2, 1)}=\frac{2(2)+1}{3 - (2)}=\frac{5}{1}=5[/tex]
Hence, our answer is A.
We want to find the differential dy/dx for the given expression at the given point. We will see that the correct option is A.
How to differentiate the expression?
We have:
x^2 + xy - 3y = 3
First, we need to isolate the variable y in one side of the equation, so we get:
xy - 3y = 3 - x^2
y*(x - 3) = 3 - x^2
y = (x - x^2)/(x - 3)
Now we can differentiate this, remember that if:
f(x) = g(x)*h(x)
then:
f'(x) = g(x)*h'(x) + g'(x)*h'(x)
Using that rule.
dy/dx = (1 - 2x)/(x - 3) - (x - x^2)/(x - 3)^2
Now we need to evaluate this in x = 2 (the x-value of the point) so we get:
(1 - 2*2)/(2 - 3) - (2 - 2^2)/(2 - 3)^2
= (-3)/(-1) - (-2)/(1) = 5
So the correct option is A.
If you want to learn more about differentiation, you can read:
https://brainly.com/question/24898810
I need help Nkaocjsjbsiss
Answers
Answer:
46
Step-by-step explanation:
it wouldn't change if it was to be rotated
An employee of an auction house has a list of 25 recently sold paintings. Eight artists were represented in these sales. The sale price of each painting is on the list. Would the correlation coefficient be an appropriate way to summarize the relationship between artist (x) and sale price (y)? Why or why not?
Answers
Answer:
Step-by-step explanation:
Given that:
A list of 25 recently sold paintings in an auction house is available, and eight artists were represented in the sales.
The objective is to determine if the correlation coefficient would be an appropriate way to summarize the relationship between the artist (x) and sale price (y).
From the information given;
NO, The correlation coefficient would not be an appropriate way to summarize the relationship between artist (x) and sale price (y).
The reason is being that since variable (x) is the artist and which is regarded as the categorical variable even though it is attributed to numerical values, it cannot and will not be used in quantitative studies like correlation.
The mean lifetime of a tire is 48 months with a standard deviation of 77 months. If 147 tires are sampled, what is the probability that the mean of the sample would differ from the population mean by less than 0.83 months?
Answers
Answer:
0.55199
Step-by-step explanation:
When we have a random number of samples, We solve using z score formula
z = (x-μ)/σ/√n where
x is the raw score
μ is the population mean
σ is the population standard deviation
n is random number of samples
z = 0.83/77/√147
z = 0.13069
Probabilty value from Z-Table:
P(x<48.83) = 0.55199
The probability that the mean of the sample would differ from the population mean by less than 0.83 months is 0.55199
Which fraction is less than 1/2?
A. 3/8
B. 5/8
C. 5/7
D. 9/16
Answers
Answer:
a. vfsvcsgefceveggevehe
4/8 would be 1/2 and 3/8< 1/2
The others are above 1/2
1. Jared borrowed $300 from his mother to buy an x-box 360. Jared will pay her back in 4 years with 3.5% simple interest. How much total money will he payback to his mother at the end of the 4 years? (Hint: which formula should you use simple or compound, what is the principal, what is the rate, what is the time.)
2. Jackie deposits $225 in an account that pays 4.1% interest compound annually. How much money would Jackie have in her account after 1.5 years? (Hint: which formula should you use simple or compound, what is the principal, what is the rate, what is the time.)
3. Stephanie placed $1,700 in an account that earns 6% interest compounded annually. How much money will she have in the account at the end of 48 months? (Hint: which formula should you use simple or compound, what is the principal, what is the rate, what is the time.)
Answers
Answer:
1) future value = present value x [1 + (i x n)] = $300 x [1 + (3.5% x 4)] = $342
2) using the compound interest formula:
future value = $225 x (1 + 4.1%)¹°⁵ = $238.98
Using the simple interest formula doesn't yield the same answer = $225 x [1 + (4.1% x 1.5)] = $238.84. In this case it is close due to a very short period of time and low interest rate.
3) future value = present value x (1 + i)ⁿ = $1,700 x (1 + 6%)⁴ = $2,146.21
since the interest is annual, we must convert 48 months to 4 years
How many shelves did Andrew stock per hour?
Answers
Answer:
we dont have the info
Step-by-step explanation:
Someone please help...
Answers
Answer:
y=mc
Step-by-step explanation:
What is the slope of (0,4) and (3,10)? Please helppppp a girl outt !
Answers
Answer:
M=6 OR slope=6
Step-by-step explanation:
Use slope formula
Answer:
The slope of the given line is 2Step-by-step explanation:
Slope is defined as the change of y over the change of x or rise over run. This is calculated by subtracting the second set of vales from the first set of values.
For y:
We have 10 and 4 for the y coordinates (y is the second number in a coordinate set). We will subtract 4 from 10, to get a result of 6.
For x:
We have 3 and 0 for the x coordinates (x is the first number in a coordinate set). We will subtract 0 from 3, to get a result of 3.
Slope is 6/3 or 2/1
The slope of the given line is 2What is the slope of the line that passes through (0,0) (3,4)?
Answers
Answer:
M = 4/3 - c/3
Step-by-step explanation:
Answer:
4/3
Step-by-step explanation:
The slope formula is the difference in y over the difference in x, so 4-0/3-0.
When using substitution to solve this system of equations, what is the result of the first step x=6y+3
x+2y=5
Answers
Example: 6y+3+2y = 5
The result of first step is 6y+3+3y = 5 and values of x and y after solving are 1/4 and 9/2 respectively.
What is substitution method?The substitution method is the algebraic method to solve simultaneous linear equations. As the word says, in this method, the value of one variable from one equation is substituted in the other equation.
Given that, the two equations x=6y+3 and x+2y=5 being solved by substitution method
So, the equations are,
x=6y+3.......(i)
x+2y=5......(ii)
Substituting eq(i) in eq(ii)
6y+3+2y = 5
8y = 2
y = 1/4
Put y = 1/4 in eq(i)
x = 6x1/4+3
x = 9/2
Hence, The result of first step is 6y+3+3y = 5 and values of x and y after solving are 1/4 and 9/2 respectively.
For more references on substitution method, click;
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Find the first six terms of the sequence defined by each of these recurrence relations and initial conditions.
a) an=6an-1, a0=2
b) an=a2n-1, a1=2
c) an=an-1+3an-2, a0=1 , a1=2
d) an=nan-1+n2 an-2 a0=1 ,a1=1
e) an= an-1+an-3 , a0=1, a1=2 , a2=0
Answers
Answer:
See explanation
Step-by-step explanation:
Solving (a):
[tex]a_n = 6a_{n-1}[/tex] where [tex]a_0 = 2[/tex]
n = 1
[tex]a_n = 6a_{n-1}[/tex]
[tex]a_1 = 6a_{1-1}[/tex]
[tex]a_1 = 6a_{0}[/tex]
Substitute 2 for [tex]a_0[/tex]
[tex]a_1= 6 * 2[/tex]
[tex]a_1= 12[/tex]
n = 2
[tex]a_n = 6a_{n-1}[/tex]
[tex]a_2 = 6a_{2-1}[/tex]
[tex]a_2 = 6a_{1}[/tex]
Substitute 12 for [tex]a_1[/tex]
[tex]a_2= 6 * 12[/tex]
[tex]a_2= 72[/tex]
n = 3
[tex]a_n = 6a_{n-1}[/tex]
[tex]a_3 = 6a_{3-1}[/tex]
[tex]a_3 = 6a_2[/tex]
Substitute 72 for [tex]a_2[/tex]
[tex]a_3= 6 * 72[/tex]
[tex]a_3= 432[/tex]
n = 4
[tex]a_n = 6a_{n-1}[/tex]
[tex]a_4 = 6a_{4-1}[/tex]
[tex]a_4 = 6a_{3}[/tex]
Substitute 432 for [tex]a_3[/tex]
[tex]a_4 = 6 * 432[/tex]
[tex]a_4 = 2592[/tex]
n = 5
[tex]a_n = 6a_{n-1}[/tex]
[tex]a_5 = 6a_{5-1}[/tex]
[tex]a_5 = 6a_4[/tex]
Substitute 2592 for [tex]a_4[/tex]
[tex]a_5 = 6 * 2592[/tex]
[tex]a_5 = 15552[/tex]
n = 6
[tex]a_n = 6a_{n-1}[/tex]
[tex]a_6 = 6a_{6-1}[/tex]
[tex]a_6 = 6a_{5}[/tex]
Substitute 15552 for [tex]a_5[/tex]
[tex]a_6 = 6 * 15552[/tex]
[tex]a_6 = 93312[/tex]
[tex]a_1= 12[/tex] [tex]a_2= 72[/tex] [tex]a_3= 432[/tex] [tex]a_4 = 2592[/tex] [tex]a_5 = 15552[/tex] [tex]a_6 = 93312[/tex]
Solving (b):
[tex]a_n = a^2_{n - 1[/tex] where [tex]a_1 = 2[/tex]
We have
[tex]a_1 = 2[/tex] which serves as the first term
n =2
[tex]a_n = a^2_{n - 1[/tex]
[tex]a_2 = a^2_{2-1}[/tex]
[tex]a_2 = a^2_{1}[/tex]
Substitute 2 for [tex]a_1[/tex]
[tex]a_2 = 2^2[/tex]
[tex]a_2 = 4[/tex]
n = 3
[tex]a_3 = a^2_{3-1}[/tex]
[tex]a_3 = a^2_{2}[/tex]
[tex]a_3 = 4^2[/tex]
[tex]a_3 = 16[/tex]
n = 4
[tex]a_4 = a^2_{4-1}[/tex]
[tex]a_4 = a^2_3[/tex]
[tex]a_4 = 16^2[/tex]
[tex]a_4 = 256[/tex]
n =5
[tex]a_5 = a^2_{5-1[/tex]
[tex]a_5 = a^2_4[/tex]
[tex]a_5 = 256^2[/tex]
[tex]a_5 = 65536[/tex]
n = 6
[tex]a_6 = a^2_{6-1[/tex]
[tex]a_6 = a^2_{5[/tex]
[tex]a_6 = 65536^2[/tex]
[tex]a_6 = 4294967296[/tex]
[tex]a_1 = 2[/tex] [tex]a_2 = 4[/tex] [tex]a_3 = 16[/tex] [tex]a_4 = 256[/tex] [tex]a_5 = 65536[/tex] [tex]a_6 = 4294967296[/tex]
Solving (c):
[tex]a_n=a_{n-1}+3a_{n-2};[/tex] [tex]a_0=1[/tex] ; ; [tex]a_1=2[/tex]
[tex]a_1=2[/tex] ---- First term
n = 2
[tex]a_n=a_{n-1}+3a_{n-2};[/tex] becomes
[tex]a_2=a_{2-1}+3a_{2-2}[/tex]
[tex]a_2=a_1+3a_0[/tex]
Substitute values for a1 and a0
[tex]a_2=2+3 * 1[/tex]
[tex]a_2=2+3[/tex]
[tex]a_2=5[/tex]
n = 3
[tex]a_n=a_{n-1}+3a_{n-2};[/tex] becomes
[tex]a_3=a_{3-1}+3a_{3-2}[/tex]
[tex]a_3=a_{2}+3a_{1}[/tex]
[tex]a_3=5+3 * 2[/tex]
[tex]a_3=5+6[/tex]
[tex]a_3=11[/tex]
n = 4
[tex]a_n=a_{n-1}+3a_{n-2};[/tex] becomes
[tex]a_4=a_{4-1}+3a_{4-2}[/tex]
[tex]a_4=a_{3}+3a_{2}[/tex]
[tex]a_4=11+3 * 5[/tex]
[tex]a_4=11+15[/tex]
[tex]a_4=26[/tex]
n = 5
[tex]a_n=a_{n-1}+3a_{n-2};[/tex] becomes
[tex]a_5=a_{5-1}+3a_{5-2};[/tex]
[tex]a_5=a_{4}+3a_3[/tex]
[tex]a_5=26+3 * 11[/tex]
[tex]a_5=26+33[/tex]
[tex]a_5=59[/tex]
n = 6
[tex]a_n=a_{n-1}+3a_{n-2};[/tex] becomes
[tex]a_6=a_{6-1}+3a_{6-2}[/tex]
[tex]a_6=a_{5}+3a_4[/tex]
[tex]a_6=59+3*26[/tex]
[tex]a_6=59+78[/tex]
[tex]a_6=137[/tex]
[tex]a_1=2[/tex] [tex]a_2=5[/tex] [tex]a_3=11[/tex] [tex]a_4=26[/tex] [tex]a_5=59[/tex] [tex]a_6=137[/tex]
Solving (d):
[tex]a_n=na_{n-1}+n^2a_{n-2}[/tex]; [tex]a_0=1[/tex]; [tex]a_1=1[/tex]
[tex]a_1=1[/tex] --- First term
n = 2
[tex]a_n=na_{n-1}+n^2a_{n-2}[/tex] becomes
[tex]a_2=2 * a_{2-1}+2^2a_{2-2}[/tex]
[tex]a_2=2 * a_1+4*a_0[/tex]
[tex]a_2=2 * 1+4*1[/tex]
[tex]a_2=2 +4[/tex]
[tex]a_2=6[/tex]
n = 3
[tex]a_n=na_{n-1}+n^2a_{n-2}[/tex] becomes
[tex]a_3=3 * a_{3-1}+3^2 * a_{3-2}[/tex]
[tex]a_3=3 * a_{2}+9 * a_{1}[/tex]
[tex]a_3=3 * 6+9 * 1[/tex]
[tex]a_3=18+9[/tex]
[tex]a_3=27[/tex]
n = 4
[tex]a_n=na_{n-1}+n^2a_{n-2}[/tex] becomes
[tex]a_4=4*a_{4-1}+4^2*a_{4-2}[/tex]
[tex]a_4=4*a_{3}+16*a_{2}[/tex]
[tex]a_4=4*27+16*6[/tex]
[tex]a_4=204[/tex]
n = 5
[tex]a_n=na_{n-1}+n^2a_{n-2}[/tex] becomes
[tex]a_5=5 * a_{5-1}+5^2 * a_{5-2}[/tex]
[tex]a_5=5 * a_{4}+25 * a_{3}[/tex]
[tex]a_5=5 * 204+25 *27[/tex]
[tex]a_5=1695[/tex]
n = 6
[tex]a_n=na_{n-1}+n^2a_{n-2}[/tex] becomes
[tex]a_6=6 * a_{6-1}+6^2*a_{6-2}[/tex]
[tex]a_6=6 * a_{5}+36*a_{4}[/tex]
[tex]a_6=6 * 1695+36*204[/tex]
[tex]a_6=17514[/tex]
[tex]a_1=1[/tex] [tex]a_2=6[/tex] [tex]a_3=27[/tex] [tex]a_4=204[/tex] [tex]a_5=1695[/tex] [tex]a_6=17514[/tex]
Solving (e):
[tex]a_n= a_{n-1}+a_{n-3};\ a_0=1; a_1=2; a_2=0[/tex]
First term: [tex]a_1=2[/tex]
Second Term: [tex]a_2=0[/tex]
n = 3
[tex]a_n= a_{n-1}+a_{n-3}[/tex] becomes
[tex]a_3= a_{3-1}+a_{3-3}[/tex]
[tex]a_3= a_{2}+a_0[/tex]
[tex]a_3= 0+1[/tex]
[tex]a_3= 1[/tex]
n = 4
[tex]a_n= a_{n-1}+a_{n-3}[/tex] becomes
[tex]a_4= a_{4-1}+a_{4-3}[/tex]
[tex]a_4= a_{3}+a_{1}[/tex]
[tex]a_4= 1+2[/tex]
[tex]a_4=3[/tex]
n = 5
[tex]a_n= a_{n-1}+a_{n-3}[/tex] becomes
[tex]a_5= a_{5-1}+a_{5-3}[/tex]
[tex]a_5= a_{4}+a_{2}[/tex]
[tex]a_5= 3 + 0[/tex]
[tex]a_5= 3[/tex]
n = 6
[tex]a_n= a_{n-1}+a_{n-3}[/tex] becomes
[tex]a_6= a_{6-1}+a_{6-3}[/tex]
[tex]a_6= a_{5}+a_{3}[/tex]
[tex]a_6= 3 + 1[/tex]
[tex]a_6= 4[/tex]
[tex]a_1=2[/tex] [tex]a_2=0[/tex] [tex]a_3= 1[/tex] [tex]a_4=3[/tex] [tex]a_5= 3[/tex] [tex]a_6= 4[/tex]
A thumbtack that is tossed can land point up or point down. The probability of a tack landing point up is 0.2. A simulation was conducted in which a trial consisted of tossing 5 thumbtacks and recording the number of thumbtacks that land point up. Many trials of the simulation were conducted and the results are shown in the histogram.
Based on the results of the simulation, which of the following is closest to the probability that at least 2 thumbtacks land pointing up when 5 thumbtacks are tossed?
A 0.09
B 0.19
C 0.28
D 0.72
E 0.91
Answers
Answer:
Option C: 0.28
Step-by-step explanation:
This is a binomial probability distribution problem.
Now, we want to find the probability that at least 2 thumbtacks land pointing up when 5 thumbtacks are tossed. This is written as;
P(X ≥ 2) = P(2) + P(3) + P(4) + P(5)
From the histogram;
P(5) = 0.02
P(4) = 0.02
P(3) = 0.05
P(2) = 0.19
Thus;
P(X ≥ 2) = 0.19 + 0.05 + 0.02 + 0.02
P(X ≥ 2) = 0.28
From the histogram, it is found that there is a 0.28 = 28% probability that at least 2 thumbtacks land pointing up when 5 thumbtacks are tossed, option C.
------------------
The probabilities given by the histogram are:
[tex]P(X = 0) = 0.33[/tex]
[tex]P(X = 1) = 0.39[/tex]
[tex]P(X = 2) = 0.19[/tex]
[tex]P(X = 3) = 0.05[/tex]
[tex]P(X = 4) = 0.02[/tex]
[tex]P(X = 5) = 0.02[/tex]
The probability of at least 2 up is:
[tex]P(X \geq 2) = P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) = 0.019 + 0.05 + 0.02 + 0.02 = 0.28[/tex]
0.28 = 28% probability that at least 2 thumbtacks land pointing up when 5 thumbtacks are tossed, option C.
A similar problem is given at https://brainly.com/question/24141790
There were 130 faculty at a conference. If there were 18 more women than men attending, how many of each gender attended the conference?
Answers
Answer:
the number of men be 56
And, the number of women be 74
Step-by-step explanation:
The computation of the number of each genders attended the conference is shown below;
Let us assume the number of men be x
And, the number of women be y
Now the equations would be
x + y = 130 .............. (1)
And,
y = 18 + x ................ (2)
Now put the y value in the equation 1
x + 18 + x = 130
2x = 130 - 18
2x = 112
x = 56
Now the y is
= 18 + 56
= 74
So, the number of men be 56
And, the number of women be 74