Answer:
a = -3/5
Step-by-step explanation:
10a = -6
/10. /10
a = - 6/10
a = -3/5
Alice, Bob, and Carl arrange to meet for lunch on a certain day. They arriveindependently at uniformly distributed times between 1 pm and 1:30 pm on that day.
Required:
a. What is the probability that Carl arrives first?
b. What is the probability that Carl will have to wait more than 10 minutes for one of the others to show up?
c. What is the probability that Carl will have to wait more than 10 minutes for both of the others to show up?
d. What is the probability that the person who arrives second will have to wait more than 5 minutes for the third person to show up?
Answer:
a. What is the probability that Carl arrives first?
Probability that Carl arrives first is ¹/₃ = 33.33% since their arrival times is uniformly distributed. The same probability applies to Bob and Alice.
b. What is the probability that Carl will have to wait more than 10 minutes for one of the others to show up?
Assuming that Carl arrived on time, 1:10 PM, we must determine the probability that Alice or Bob arrive between 1:20 and 1:30 (half the remaining time)
P = [3 · (¹/₂ - ¹/₃)] · [3 · (¹/₂ - ¹/₃)] = (3 · ¹/₆) · (3 · ¹/₆) = ¹/₂ · ¹/₂ = ¹/₄ = 25% chance that either Alice or Bob arrive more than 10 minutes later
c. What is the probability that Carl will have to wait more than 10 minutes for both of the others to show up?
P = 1 - 25% = 75%
d. What is the probability that the person who arrives second will have to wait more than 5 minutes for the third person to show up?
I divided the 20 minutes by 5 to get ¹/₄:
P (|S - T| ≤ ¹/₄) = {[(x + ¹/₄)²] / 2} + (1 / 2x) + {[(⁵/₄ - x)²] / 2} = 0.09375 + 0.25 + 0.09375 = 0.4375 = 43.75%
3.484
+ 17
What’s the answer?
Answer:
504
Step-by-step explanation:
Answer:
20.484
Step-by-step explanation:
Just add it up, 3.484 plus 17 is equal to 20.484.
3.484
+ 17
-------------
6.Which describes 9 and -9?
O A. positive integers
O B. opposites
O C. negative integers
Answer:The answer is B... they are opposites...both are integers but 9 is positive and -9 is negative which make them opposites.
Step-by-step explanation:
Simplify the following: *
-4– (-5)
WILL MARK BRAINLIEST.
What does the number in the bottom right-hand corner of a two-way frequency table represent?
A= It is the total number of data points in the data set, which is also the maximum of the row totals or the column totals.
B= It is the row total number of data points in the data set, which is also the difference of the row totals or the column totals.
C= It is the column number of data points in the data set, which is also the difference of the row totals or the column totals.
D= It is the total number of data points in the data set, which is also the sum of the row totals or the column totals.
Answer:
D= It is the total number of data points in the data set, which is also the sum of the row totals or the column totals.
Step-by-step explanation:
The number in the bottom right-hand corner of a two-way frequency table represents D. It is the total number of data points in the data set, which is also the sum of the row totals or the column totals.
What is a two-way frequency table?When displaying frequencies or relative frequencies for two categorical variables, a two-way table is used. Columns indicate the second category, whereas rows represent the first.
The two-table displays frequencies for two categorical variables in terms of rows and columns.
The number in the bottom right-hand corner of a two-way frequency table represents the total number of data points in the data set, which is also the sum of the row totals or the column totals.
learn more about the two-way frequency table here :
https://brainly.com/question/26096302
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Find the missing number from this Pythagorean triple: 21, 72, _____ .
Answer:
75
Step-by-step explanation:
a^2+b^2=c^2
plug 21 and 72 for a and b respectively. Once plugged, c will equal 75.
What is the greatest common factor of the terms in the expression 24x + 18xy?
Answer:
GCF = 6x
Step-by-step explanation:
24x = 2 * 2 * 2 * 3 *x
18xy = 2 * 3 * 3 * x * y
GCF = 2 * 3 *x = 6x
Write 34/7 as a mixed number in simplest form
Answer:
4 6/7
Step-by-step explanation:
34/7
We finds out how many 7s are in 34
5 * 7 is 35, so it must be 4.
when 34 is divided by 7, the answer would be 4 and 6 remainders.
put the remainders back into the nominator part of the fraction.
so it's 4 6/7
Consider the points below. P(2, 0, 2), Q(−2, 1, 4), R(7, 2, 6)
Required:
Find a nonzero vector orthogonal to the plane through the points P, Q, and R.
Answer: the vector orthogonal is ( 0, 26, -13 )
Step-by-step explanation:
Given that;
P(2, 0, 2), Q(−2, 1, 4), R(7, 2, 6)
PQ = Q - P = (−2, 1, 4) - (2, 0, 2) = (-4, 1, 2)
PR = R - P = (7, 2, 6) - (2, 0, 2) = ( 5, 2, 4)
SO
orthogonal vector = PQ × PR
= ║ i j k
-4 1 2 = i(1×4 - 2×2) + j(5×2 - (-4×4)) + k(-4×2 - 5×1) = 0i + 26j - 13k
5 2 4 ║
= ( 0, 26, -13 )
Therefore the vector orthogonal is ( 0, 26, -13 )
What is the value of a2+c•(2+b)
when a =3 , b=6 and c=5
Answer:
46 is the answer
Step-by-step explanation:
Because:
a2 + c(2+b)
3(2) + 5(2+6)
6 + 5(8)
6 + 40
46
Answer:
49
Step-by-step explanation:
a² + c(2+b) = a² + 2c+bc
Expand first.
a² + 2c+bc = 3² + 2(5) + 6×5
Substitute a, b and c with actual values.
3² + 2(5) + 6×5 = 9 + 10 + 30
Evaluate.
9 + 10 + 30 = 49
Simplify.
PLEASEEEEE HELP!!!! 20 POINTS AND DONT PUT SOMETHING RANDOM ITS DUE SOON!!
Question: What additional information is needed to prove that triangles ABC and EFG are congruent by the SSS triangle congruence theorem?
A. AB = EG, FH = AC, EF = BC
B. AB = BC, BC =FG, and FG = EG
C. AB = EG, FH = AC, EF = BC
D. BC = EG, FH = EF, AC = BC
Answer:
NOTE: NONE OF THE OPTIONS GIVEN IS CORRECT. THIS IS THE CORRECT ANSWER.
AB = EF, BC = FG, AC = EG
Step-by-step explanation:
According to the SSS Congruence statement, for ∆ABC to be congruent to ∆EFG, all the sides of ∆ABC must be congruent to all the corresponding sides of ∆EFG.
This means that:
AB must be congruent to EF
BC must be congruent to FG
AC must be congruent to EG
Therefore, additional information is needed to prove that triangles ABC and EFG are congruent by the SSS triangle congruence theorem are:
AB = EF, BC = FG, AC = EG
NOTE: NONE OF THE OPTIONS GIVEN IS CORRECT. THIS IS THE CORRECT ANSWER.
Beatriz has a big hot chocolate. She drank 7 ounces so far, how large is her entire hot chocolate
Answer:
larger than 7 ounces
Step-by-step explanation:
Answer:
lol
Step-by-step explanation:
lol
Mack, Jason, and Yuri invested a total of $14,500 in the stock market. After one year, they earned a profit equal to 1/5 of their investment Mack receives 2/5 of the profit, Jason Receives 1/4 of the profit, and Yuri receives the rest of the profitWhat is the amount of each person's profit?
Answer:
The amount of each person's profit is:
Mack
= $1160
Jason
= $725
Yuri
= $1015
Step-by-step explanation:
Mack, Jason, and Yuri invested a total of $14,500 in the stock market. After one year, they earned a profit equal to 1/5 of their investment Mack receives 2/5 of the profit, Jason Receives 1/4 of the profit, and Yuri receives the rest of the profitWhat is the amount of each person's profit?
Step 1
We calculate how much the profit is.
Mack, Jason, and Yuri invested a total of $14,500 in the stock market. After one year, they earned a profit equal to 1/5 of their investment
The profit = 1/5 of Investment
Hence = 1/5 × $14500
Profit = $2900
Step 2
We calculate the amount each of them receives.
Mack receives 2/5 of the profit,
= 2/5 × $2900
= $ 1160
Jason Receives 1/4 of the profit
= 1/4 × $2900
= $725
Yuri receives the rest of the profit
This is calculated as:
$2900 -($1160 + $725)
$2900 - $1885
= $1015
The amount of each person's profit is:
Mack
= $1160
Jason
= $725
Yuri
= $1015
A data set includes 40 pulse rates of men, and those pulse rates have a mean of 67.3 beats per minute and a standard deviation of 10.3 beats per minute. Construct a 99% confidence interval estimate of the standard deviation of the pulse rates of men.a) 8.4 beats per minute
Answer:
The 99% confidence interval of the standard deviation of the pulse rates of men is
[tex][ 7.949 \ \ , \ 14.387 ][/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 40
The mean is [tex]\= x = 67.3 \ beats \ per \ minute[/tex]
The standard deviation is [tex]s = 10.3 \ beats \ per \ minute[/tex]
Generally the degree of freedom is mathematically represented as
[tex]df = n- 1[/tex]
=> [tex]df = 40- 1[/tex]
=> [tex]df = 39[/tex]
From the question we are told the confidence level is 99% , hence the level of significance is
[tex]\alpha = (100 - 99 ) \%[/tex]
=> [tex]\alpha = 0.01[/tex]
Generally from the chi distribution table the critical value of at a degree of freedom of is
[tex]X^2 _{\frac{\alpha }{2} , 39} = 65.476[/tex]
Generally from the chi distribution table the critical value of at a degree of freedom of is
[tex]X^2 _{1- \frac{\alpha }{2} , 39} = 19.996[/tex]
Generally the 99% confidence interval of the standard deviation of the pulse rates of men is mathematically represented as
[tex]s \sqrt{\frac{n- 1}{X^2_{1- \frac{\alpha }{2} , n-1} } }\ \ , \ s \sqrt{\frac{n- 1}{X^2_{\frac{\alpha }{2} , n-1} } }[/tex]
=> [tex]10.3 \sqrt{\frac{40- 1}{65.476} }\ \ , \ 10.3 \sqrt{\frac{40- 1}{19.996} }[/tex]
=> [tex][ 7.949 \ \ , \ 14.387 ][/tex]
Find the difference. 256,805 - 136,667 *
Answer: 120,138
Step-by-step explanation:
Answer: 120,138
Step-by-step explanation:
Subtract
The solution is (3, –2).
Verify the solution. Which true statement appears in your check?
Answer:-2=-2
Step-by-step explanation: i took the assignment
HELP ME FAST!!
4.64 divided by 8=
Answer:
the answer is 0.58
Step-by-step explanation:
4.64÷8 is that so
11 purple hats 14 yellow hats 45 purple hats 70 yellow hats
Answer:
140 hats is the answer i guess
Which equation has the correct sign on the product?
A. (-8)(-8) = -64
B. 45(-4)= 180
C. (-18)4 = -72
D. 13.3 = -39
PLEASE HELPP‼️‼️ write in factored form g(x)= x^3 - 4x^2 - x + 22
Answer:
[tex]g\left(x\right)=x^3\:-\:4x^2\:-\:x\:+\:22[/tex] in the factored form will be:
[tex]g\left(x\right)=x^3-4x^2-x+22=\:\left(x+2\right)\left(x^2-6x+11\right)[/tex]Step-by-step explanation:
Given the function
[tex]g\left(x\right)=x^3\:-\:4x^2\:-\:x\:+\:22[/tex]
Use the rational root theorem.
[tex]a_0=22,\:\quad a_n=1[/tex]
[tex]\mathrm{The\:dividers\:of\:}a_0:\quad 1,\:2,\:11,\:22,\:\quad \mathrm{The\:dividers\:of\:}a_n:\quad 1[/tex]
[tex]\mathrm{Therefore,\:check\:the\:following\:rational\:numbers:\quad }\pm \frac{1,\:2,\:11,\:22}{1}[/tex]
[tex]-\frac{2}{1}\mathrm{\:is\:a\:root\:of\:the\:expression,\:so\:factor\:out\:}x+2[/tex]
[tex]=\left(x+2\right)\frac{x^3-4x^2-x+22}{x+2}[/tex]
as
[tex]\frac{x^3-4x^2-x+22}{x+2}=x^2-6x+11[/tex] ∵ [tex]x^3-4x^2-x+22=\left(x+2\right)\left(x^2-6x+11\right)[/tex]
so the expression becomes
[tex]x^3\:-\:4x^2\:-\:x\:+\:22=\left(x+2\right)\left(x^2-6x+11\right)[/tex]
Therefore,
[tex]g\left(x\right)=x^3\:-\:4x^2\:-\:x\:+\:22[/tex] in the factored form will be:
[tex]g\left(x\right)=x^3-4x^2-x+22=\:\left(x+2\right)\left(x^2-6x+11\right)[/tex]
This week, 300 tickets were sold to the school play. This is 120 percent of the number of tickets sold last week for the school Play?
Answer:
the awnser is 250 i took the test and got it correct
Step-by-step explanation:
Answer:
300÷1.20
Step-by-step explanation:
1+6÷5×4
please help
SOLVING STEPS...
CALCULATE 6÷5×4
IT'S 4.8
ADD 1 WITH 4.8
CALCULATE THE SUM...
WE WILL GET THE ANSWER...
SO THE ANSWER IS
[tex]5.8[/tex]
GAVE ME THE BRAINLIEST IF MY ANSWER WAS HELPFUL...
Suppose that a phone that originally sold for $800 and loses 3/5 of its value each year after it is released.
3. Write an equation for the value of the phone, p, t years after it is released.
Answer:
p=(800)(3/5)^t
Step-by-step explanation:
Answer: 800 - (3/5xt)
Step-by-step explanation:
800 is the base value and you have to multiply 3/5 by t
Solve the following equation. Only enter the numeric answer (no variables). 30=2.5(10-2x)
Answer:
x = -1
Step-by-step explanation:
30 = 2.5(10)(-2x) - you multiply by each
30 = 25 - 5x - then pass 25 to the other side and subract
5x = - 5x - then divide 5 / -5
x = -1 - and you have the answer
Answer:
x= -1
Step-by-step explanation:
distribute 2.5 through the parenthese
30=25-5x
move variable to the left hand side an change its sign
5x+30 =25
move constant to the right hand side and change the sign
5x=25 -30
calculate the difference
5x= -5
divide both sides of the equation by 5
x= -1
Hope this helps!!! I would really appreciate a brainliest???
can you answer this so i can go to sleep
Answer:
Step-by-step explanation:
500000(16)
= 8000000
8000000(.44)
= 3520000
35200000/4
= 880000$ for each member
PLEASE HELP ME ASAP I NEED ANSWERS PLEASEEE
Answer:
p= 21
Explanation:
FIRST DO
3(21) -7
3 × 21 = 63
63 - 7 = 56
THEN DO
6(21) - 2
6 × 21 = 126
126 - 2 = 124
FINALLY
It needs to add up to 180°
124 + 56 = 180°
Therefore, the value of p = 21
Hope this helps!!! :)
There is 1/4 of a pizza left to split between 2 of your friends if u split the pizza equally what fraction of the pizza will each of your friends get
Answer:
1/8
Step-by-step explanation:
1/4 ÷ 2
~Turn 2 into a fraction
1/4 ÷ 2/1
~Copy dot flip
1/4 * 1/2
~Multiply
1/8
Best of Luck!
Answer:
1/8
Step-by-step explanation:
1/4 also = 2/8
2/8 divided by 2 = 1/8
Help plz:))) I’ll mark u brainliest ASAP 10 points(:(: Xx thank you....!!!
Answer:
D
Step-by-step explanation:
D because K to M is the shortest line in the diagram. Please mark brainllest if you want you dont have to.
How many lines of symmetry are in this snowflake design?
A. O
B. 3
C. 6
D.9
E. 12
Answer:
c plz give brainliest
Step-by-step explanation:
Find the equation of the line that is parallel to the
line y = -X- 7 and passes through the point
(-5, – 7). Write the equation in slope-intercept
form.
9514 1404 393
Answer:
y = -x -12
Step-by-step explanation:
The slope of the line you want is the same as the slope of the line you have: -1. Then the point-slope equation of the line is ...
y -k = m(x -h) . . . . . . line of slope m through point (h, k)
y -(-7) = -1(x -(-5))
y = -x -5 -7 . . . . subtract 7, eliminate parentheses
y = -x -12 . . . slope-intercept equation