Answer:
The value is [tex]P(60 < X < 70) = 0.34134[/tex]
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu = 1 \ hour = 60 \ minutes[/tex]
The standard deviation is [tex]\sigma = 10 \ minutes[/tex]
Generally the 1 hour is equivalent to 60 minutes
Generally the probability to complete the job in one hour or more, but less than 70 minutes is mathematically represented as
[tex]P(60 < X < 70) = P(\frac{60 - 60 }{10 } < \frac{X - \mu}{\sigma } < \frac{70 - 60 }{10 } )[/tex]
=> [tex]P(60 < X < 70) = P(0 < \frac{X - \mu}{\sigma } < 1 )[/tex]
[tex]\frac{X -\mu}{\sigma } = Z (The \ standardized \ value\ of \ X )[/tex]
=> [tex]P(60 < X < 70) = P(0 <Z < 1 )[/tex]
=> [tex]P(60 < X < 70) = P(Z < 1) - P(Z < 0 )[/tex]
From the z table (Z < 1) and (Z < 0 ) is
[tex]P(Z < 1) = 0.84134[/tex]
and
[tex]P(Z < 0 ) = 0.5[/tex]
=> [tex]P(60 < X < 70) = 0.84134 - 0.5[/tex]
=> [tex]P(60 < X < 70) = 0.34134[/tex]
Let s ( t ) = 6 t 3 − 9 t 2 − 360 t be the equation of motion for a particle. Find a function for the velocity.
Answer:
V(t) = 18t²-18t-360
Step-by-step explanation:
Given the equation of motion of particle expressed as:
s(t) = 6t³-9t²-360t
Velocity is the change in displacement of a body with respect to time.
V(t) = ds(t)/dt
V(t) = 3(6)t²-2(9)t¹-360
V(t) = 18t²-18t-360
Hence the function of the velocity is V(t) = 18t²-18t-360
1500 teams compete in a tournament. The organizers let the teams know that every game is played with exactly 2 teams and must have a winner and that the team that loses a game is immediately excluded from the tournament. How many games will be played until the champion is known? Show how to use the bijection rule to solve this problem and show a numeric answer.
Answer:
1499
Step-by-step explanation:
Given there are 1500 team in a tournament .
Game is played between exactly 2 team
And looser immediately exclude from tournament.
We calculate the number of game :
We constant divide the number of teams by 2 and the quotient is divided for the next division until we get quotient as 1 and the remainder as 0.
And each time we divide, if the divident is even add quotient to the number of game in tournament if add then quotient + 1 to the number of game in the tournament.
2 | 500
2 | 750
2 | 375
2 | 187
2 | 93
2 | 46
2 | 23
2 | 11
2 | 5
2 | 2
1
Therefore, 750 + 375 + 187 + 1 +93 + 1 + 46 + 1 +23 + 11 + 1 + 5 + 1 + 2 + 1
= 1499
Therefore, total number of games is 1499.
Point C is the image of A after a translation two units to the right, then a reflection using the x-axis.
The coordinates of point C are (
,
).
Using translation concepts, the coordinates of point C, considering A(x,y), are given as follows:
C(x + 2, - y).
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
For this problem, we have that:
The translation two units right is represented by x -> x + 2.The reflection over the x-axis is represented by y -> -y.Hence the coordinates of point C, considering A(x,y), are given as follows:
C(x + 2, - y).
More can be learned about translations at https://brainly.com/question/4521517
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WhWhat is the equation of the line in slope-intercept form?
Line on a coordinate plane. The line runs through points begin ordered pair negative 5 comma 0 end ordered pair and begin ordered pair 0 comma 3 end ordered pair.
Enter your answer in the boxes.
y =
x +
Answer: y=3/5x+3
Step-by-step explanation:
I put both points into a graphing calculator (-5,0) (0,3) and found the difference between both and calculated slope using y2-y1/x2-x1 and plugged in each value.
FRRRRRREEEEEEE POOOOOOINTTTTESSSS!
Answer:
Hey Hey. Thank you. Hope your having a good morning
Answer:
MANDOLARIN IS OUT REEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
Step-by-step explanation:
Show your work and factor 5x^3-135
Please help
Answer:
5(x−3)(x2+3x+9)
Step-by-step explanation:
Factor 5x3−135
5x3−135
=5(x−3)(x2+3x+9)
Answer:
5(x−3)(x2+3x+9)
Answer:
5(x - 3)(x² + 3x + 9)
Step-by-step explanation:
5x³ - 135
~Factor out 5
5(x³ + 27)
~Factor x³ + 27
5(x - 3)(x² + 3x + 9)
Best of Luck!
why is it so boring and teachers pretend that we did not learn the things the years before?
Answer:
bc thay dont think of anything
Step-by-step explanation:
techers have no brains
Determine the x and y intercepts for the following function 3x – 6y= –24
(-8,0), (0,4)
c
O (8,0), (0,4)
O (3,0), (0,-6)
O (0,-8). (4,0)
O Answer not given
Can someone help me with this
Answer:
X intercept: 8,0
Y intercept ( 0,-4)
Step-by-step explanation:
Answer:
(-8,0) , (0,4) and our answer is D which is not given in the choices i even attached the graph so you can double check.
Step-by-step explanation:
Arrange the equation into the standard form [tex]y=mx+c[/tex]
so,
[tex]3x-6y=-24\\3x+24=6y\\y=\frac{3x+24}{6} \\\\y=\frac{3x}{6} +\frac{24}{6} \\\\y=\frac{x}{2}+4[/tex]
[tex]y=mx+c[/tex]
if we compare we get c=4 where c is the y-intercept now for the x-intercept which means the coordinate should be (x,0) because x-intercept means the function cuts/intersects the x-axis at (x,0) so we put the coordinate and the value of m(slope) and c(y-intercept) in our equation.
[tex]y=\frac{x}{2}+4\\\\ put (x,0) in the function\\\\0=\frac{x}{2} +4\\\frac{x}{2}=-4 \\x=-8[/tex]
so finally our x-intercept is (-8,0) and y-intercept is (0,4)
Devin has $25 to spend at a carnival. If the admission to the carnival is $4 and the rides cost $1.50 each, what is the greatest number of rides Devin can go on?
Two professors teach two sections A and B of the same class. Thecourse scores in section A follow a Gaussian random variable of mean 76 and variance64. The course scores in section B follow a Gaussian random variable of mean 67 andvariance 36. What is the probability that the scores of two students, one in sectionA and one in section B, differ by no more than 1 point in absolute value
Answer:
Step-by-step explanation:
Let A denote the score for students of section A.
Let B denote the score for students of section B.
It is provided that:
[tex]A\sim N(76,64)\\B\sim N(67,36)[/tex]
The scores of the students of the two section are independent.
Compute the mean and variance of A - B as follows:
[tex]E(A-B)=E(A)-E(B)=76-67=9\\\\V(A-B)=V(A)+V(B)-2Cov(A,B)=64+36-0=100[/tex]
Compute the probability that the scores of two students, one in section A and one in section B, differ by no more than 1 point in absolute value as follows:
[tex]P(|A-B|\leq 1)=P(-1\leq X-Y\leq 1)[/tex]
[tex]=P(\frac{-1}{10}\leq \frac{(X-Y)-E(X-Y)}{\sqrt{V(X-Y)}}\leq \frac{1}{10})\\\\=P(-0.10<Z<0.10)\\\\=P(Z<0.10)-P(Z<-0.10)\\\\=0.53983-0.46017\\\\=0.07966\\\\\approx 0.08[/tex]
Thus, the probability that the scores of two students, one in section A and one in section B, differ by no more than 1 point in absolute value is 0.08.
Destiny needs a new coat for the winter and she found one at Old Navy for $48.88. The sales tax is 8%. How much will she pay for the sales tax?
Answer:
$52.79
Step-by-step explanation:
$48.88 + 8% = $52.79
SOLVE FOR X PLEASE
65+56+6x-1=180
Answer:
x = 10
Step-by-step explanation:
65+56+6x-1=180
= 121 + 6x - 1 = 180
-121 -121
= 6x - 1 = 59
+1 +1
= 6x = 60
/6 /6
x = 10
Check My Work:
65+56+60-1=180
121+60-1=180
120+60=180
180=180
Step-by-step explanation:
65 + 56 + 6x - 1 = 180 original equation
120 + 6x = 180 combine like terms
6x = 60 subtract 120 both sides
x = 10 divide by 6 on both sides
CHECK YOUR WORK:
65 + 56 + 6 (10) - 1 = 180
121 + 60 - 1 = 180
181 - 1 = 180
x = 10
Find the largest ratio from the following 3:7, 5:9, 11:3?
Write a 4 digit number that has 1 zero and is divisible by 10 and 4. (This number may be
divisible by other numbers)
Answer:
1,480
Step-by-step explanation:
*This number had one 0
* This number is divisible by 4
* This number is divisible by 10
What is the coefficient of the term with a degree of two in the product of (2m-9) and (m^2+3m-4)
Answer:
-3
Step-by-step explanation:
First, identify the different possible ways to multiply 2 monomials and get an m^2 term: we can multiply a constant by an m^2 term, or we can multiply an m term by an m term.
Now, we can identify all the combinations of the products that will give a m^2 term:
m^2*-9=-9m^2
3m*2m=6m^2
Now, we just combine the 2 m^2 terms:
-9m^2+6m^2=-3m^2
Therefore, the coefficient of the term with a degree of 2 is -3.
A study has shown that 23 % of all college textbooks have a price of $ 95 or higher. It is known that the standard deviation of the prices of all college textbooks is $ 8.50 . Suppose the prices of all college textbooks have a normal distribution. What is the mean price of all college textbooks? Round your answer to the nearest integer. μ =
Answer:
μ₀ = 89
Step-by-step explanation:
A study has shown that 23 % of all College textbook cost 95 $ or more, then if the area under the bell shape curve is 23 % in the right tail, then
z(score ) = 0,74 ( 0,23 ≈ 0,2296 from z table )
Then z(score) = ( x - μ₀ ) / σ
0,74 = ( 95 - μ₀ ) / 8,5
0,74*8,5 = 95 - μ₀
6,29 - 95 = - μ₀
μ₀ = 88,71
μ₀ = 89
NEED HELP FAST HURRY FAST 30 POINT PLZZZZZZZ
The map shows the locations of skirmishes and battles during the Atlanta Campaign of the Civil War.
John has measured some distances on the map. Atlanta and Kingston are 2.5 cm apart, and Kingston and Ringgold are 3.5 cm apart. If the actual distance from Atlanta to Kingston is 60 miles, what is the actual distance from Kingston to Ringgold?
A) 78 miles
B) 84 miles
C) 92 miles
D) 106 miles
Answer:
The actual distance is 78 miles.
Step-by-step explanation:
2 +5k = 3k -4 -2help piz
Answer:
k=−4
Step-by-step explanation:
Let's solve your equation step-by-step.
2+5k=3k−4−2
Step 1: Simplify both sides of the equation.
2+5k=3k−4−2
2+5k=3k+−4+−2
5k+2=(3k)+(−4+−2)(Combine Like Terms)
5k+2=3k+−6
5k+2=3k−6
Step 2: Subtract 3k from both sides.
5k+2−3k=3k−6−3k
2k+2=−6
Step 3: Subtract 2 from both sides.
2k+2−2=−6−2
2k=−8
Step 4: Divide both sides by 2.
2k/2=−8/2
k=−4
on a piece paper graph y<3/4x+2 then determine which answer choice matches the graph you drew help help HELP HELP
Answer:
grap a
Step-by-step explanation:
Answer:
The answer is A
Step-by-step explanation:
Simplify.
2(1-3) -4v
[tex]\tt Step-by-step~explanation:[/tex]
[tex]\tt Step~1:[/tex]
Whenever you see parentheses, you have to distribute, Here, 2 is next to (1 - 3), so we have to multiply 2 by 1 and -3.
[tex]\tt 2(1-3)-4v\\2*1=2.~~2*-3=-6.\\2-6-4v[/tex]
[tex]\tt Step~2:[/tex]
Simplify by combining like terms.
[tex]\tt 2-6-4v\\2-6=-4\\-4-4v[/tex]
[tex]\Large\boxed{\tt Our~final~answer:~-4v-4}\\\\\tt *Teachers~usually~prefer~having~the~variable~in~front~of~the~expression.[/tex]
Answer:
1. Subtract the numbers
2(1-3)=- 4v
2(2)- 4
2.Multiply the numbers
2(2)- 4v
-4- 4v
3. Rearrange terms
-4-4v
-4v-4
Solution
− 4v-4
Which equation is equivalent to 7 + 3 ( x+4 ) = 10 x -2
Answer:
X=3
Step-by-step explanation:
First, the 3 spread to the x and the 4 because of distribution property. Then, 3x is moved to the right, and the left turns into 19. The X's turn into 7x, and the -2 is moved to the left which makes it positive. The equation is simplified to 21=7x which means that x=3.
Hope this helps!
HELP MEEEEEEEEHHH pls
Answer:
whole, 5 containers
Step-by-step explanation:
i think this is the answer
Use properties of exponents to complete the equivalent expression
Answer: [tex]19^3[/tex]
Step-by-step explanation:
when you divide exponents, subtract them
top one minus the bottom one
10-7 = 3
so the exponent for the answer is 3
A local bakery has determined a probability distribution for the number of cheesecakes it sells in a given day. The distribution is as follows: Find the number of cheesecakes that this local bakery expects to sell in a day.
Complete question :
A local bakery has determined a probability distribution for the number of cheesecakes it sells in a given day. The distribution is as follows:
Number sold in a day 0 5 10 15 20 Prob (Number sold) 0.06 0.2 0.13 0.08 0.53
Find the number of cheesecakes that this local bakery expects to sell in a day.
A) 20 B) 14.1 C) 14.16 D) 10
Answer:
Given the data:
14.1
Step-by-step explanation:
X : ____0 ___5 ____10 _____15 _____20
P(X): _0.06 _0.2 __0.13 ___ 0.08 ____ 0.53
Exoectwd number of cheesecakes to be sold per day :
E(X) = ΣX*P(x)
E(X) = (0*0.06) + (5*0.2) + (10*0.13) + (15*0.08) + (20*0.53)
E(X) = 0 + 1 + 1.3 + 1.2 + 10.6
E(X) = 14.1
The number of cheesecakes that this local bakery expects to sell in a day is 14.1.
Question is looks like incomplete the complete question is,
Complete question :
A local bakery has determined a probability distribution for the number of cheesecakes it sells in a given day. The distribution is as follows:
Number sold in a day 0 5 10 15 20 Prob (Number sold) 0.06 0.2 0.13 0.08 0.53
Find the number of cheesecakes that this local bakery expects to sell in a day.
A) 20 B) 14.1 C) 14.16 D) 10
We have given data is,
X : 0 5 10 15 20
P(X): 0.06 0.2 0.13 0.08 0.53
What is the formula for the expected number of cheesecakes to be sold per day?E(X) = ΣX*P(x)
Therefore by using the formula we get,
E(X) = (0*0.06) + (5*0.2) + (10*0.13) + (15*0.08) + (20*0.53)
E(X) = 0 + 1 + 1.3 + 1.2 + 10.6
E(X) = 14.1
Therefore,the number of cheesecakes that this local bakery expects to sell in a day is 14.1
To learn more about the expected value visit
https://brainly.com/question/15858152
Mike bought 4.1 liters of apple juice, and Ian bought 3.62 liters of orange juice.They mixed the two juices together and then poured them equally into 2 bottles. How many liters of juice are in each bottle?
will give brainly
Answer:
Total: 3.86 liters of juice per bottle
Step-by-step explanation:
Add each: 4.1+3.62=7.72
then divide by 2 to pour for each bottle: 7.72/2= 3.86
Two high schools, Jefferson Hills East and Jefferson Hills West are taking field trips to the state capital. A total of 408
students from Jefferson Hills East will be going in 3 vans and 6 buses. A total of 516 students from Jefferson Hills West
will be going in 6 vans and 7 buses. Each van has the same number of passengers and each bus has the same number of
passengers.
Answer:
see explanation!
Step-by-step explanation:
If Jefferson Hills East takes 3 vans and each van has xx students, then 3x3x students will ride in vans. If the school takes 6 buses and each bus has yy students, then 6y6y students will ride in buses. The total number of students is then 3x+6y3x+6y. It is given that the school has 408 students so 3x+6y=4083x+6y=408.
If Jefferson Hills West takes 6 vans and each van has xx students, then 6x6x students will ride in vans. If the school takes 7 buses and each bus has yy students, then 7y7y students will ride in buses. The total number of students is then 6x+7y6x+7y. It is given that the school has 516 students so 6x+7y=5166x+7y=516.
The system of equations is then { 3x+6y=408 6x+7y=516
{
3x+6y=408
6x+7y=516
.
Solve:1/2 + 3/4 = ???
Answer:
1 and 1/4
Step-by-step explanation:
Answer:
1 and 1/4 :)
work:
times 2 on both sides on 1/2 to get 2/4.
now it has the same denominator as 3/4, add 2/4 and 3/4
or just use a calculator to do it :)
Why is the payroll calculator helpful in determining the effect of a 401k contribution on net pay?
a. 401k contribution can reduce gross pay
b. 401k contributes reduce the federal tax owned
c. 401k contributions reduce the employee share of social security
d. 401k contributes can be used to reduce the cost of insurance premiums
Answer: 401k contributions reduce the federal tax owed
Step-by-step explanation:
Plzzz help this is a quick question
Someone help please xxx
Answer:
Angle A is congruent to angle Z
Angle B is congruent to angle Y
Angle C is congruent to angle X
Line AB is congruent to line ZY
Line AC is congruent to line ZX
Line BC is congruent to line YX
Angle CBA is congruent to Angle XYZ
