Answer: E(X) = 30; Var[X] = 180
Step-by-step explanation: This is a Bernoulli Experiment, i.e., the experiment is repeated a fixed number of times, the trials are independents, the only two outcomes are "success" or "failure" and the probability of success remains the same, So, to calculate Expected Value, which is the mean, in these conditions:
[tex]E(X)=\frac{r}{p}[/tex]
r is number of times it is repeated
p is probability it happens
Solving:
[tex]E(X)=\frac{5}{1/6}[/tex]
E(X) = 30
Variance is given by:
[tex]Var[X]=\frac{r(1-p)}{p^{2}}[/tex]
[tex]Var[X]=\frac{5(1-1/6)}{(1/6)^{2}}[/tex]
[tex]Var[X]=5.\frac{5}{6}.6^{2}[/tex]
Var[X] = 180
Expected Value and Variance of the number of times one must throw a die until 1 happens 5 times are 30 and 180, respectively.
A random sample is made of 256 middle managers concerning their annual incomes. The sample mean is computed to be $35,420. If the population standard deviation is $2,050. What is the standard error of the mean?
a. $128.125
b. $138.36
c. $2.050
d. $8.01
Answer: a. $128.125
Step-by-step explanation:
The standard error of the mean is given by :
[tex]SE=\dfrac{\sigma}{\sqrt{n}}[/tex] , where [tex]\sigma[/tex] = population standard deviation , n= sample size.
Given: [tex]\sigma=\$2,050[/tex]
n= 256
Then, the standard error of the mean:-
[tex]SE=\dfrac{2050}{\sqrt{256}}\\\\=\dfrac{2050}{16}=\$128.125[/tex]
Hence, option a. is correct.
Find the deposit required to accumulate $7700 after investing 3 years in an account that pays an APR of 5% compounded quarterly. How much is earned in interest?
Answer:
The deposit required is $6633.62 and the interest earned is $366.38
Step-by-step explanation:
Compound interest occurs when the interest earned is reinvested rather than paying it out. When it happens interest in the next period is then earned on the principal sum plus previously accumulated interest.
The formula is:
[tex]{\displaystyle A=P\left(1+{\frac {r}{n}}\right)^{nt}}[/tex]
Where:
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
It's given the final amount A=$7700 after t=3 years of investment in an account that pays an APR of r=5%=0.05. Since the interests compound quarterly and there are 4 quarters in a year, then n=4.
To find the principal P, we solve the previous equation for P as follows:
[tex]{\displaystyle P=A\left(1+{\frac {r}{n}}\right)^{-nt}}[/tex]
Substituting:
[tex]{\displaystyle P=7700\left(1+{\frac {0.05}{4}}\right)^{-4\cdot 3}}[/tex]
[tex]{\displaystyle P=7700\left(1+0.0125}\right)^{-12}}[/tex]
P=$6633.62
The interest earned is:
I = A - P = $7700 - $6633.62 = $366.38
The deposit required is $6633.62 and the interest earned is $366.38
Find the zeros of f(x) =x^3+2x^2-3x
Answer: 0, 1, -3
Step-by-step explanation:
f(x) = x^3 +2x^2 -3x
f(x) = x(x^2 +2x-3)
f(x) = x(x-1)(x+3)
to find zeroes, plug into f(x) and solve for each value of x. doing this gives 0, 1, and -3
The world's largest fruitcake was made by Dr.Fabrizio Sepe of Italy.It was 4,353kg.If each serving size was 200 grams.How many people could the fruitcake serve?
Answer:
i believe your answer would be 21,765
Step-by-step explanation:
since there are 1000 grams in a kilogram the equation would be 4353÷.200
the question is the picture
What compound inequality describes the graph shown below?
Jose D is looking for a skateboard. He sees one that costs $148. The owner is offering him a 20% discount.. What is the price of the skateboard after the discount and a 7% sales tax?
Answer:
110.112
Step-by-step explanation:
I will mark Brainliest What is the length of AB
please help me ig :/
Answer:
either A&C of B&C
Step-by-step explanation:
why i think that is because perpendicular lines are defined as two lines that meet or intersect each other at right angles (90°). and both A&C of B&C are (90°).
Harry earns$12 20 per hour Monday to Friday if he works on a Sunday he owns 1.75 times hourly rate how much will Harry earn if he works for 8 hours on a Sunday
Answer:
he will make 170.80 that day
Step-by-step explanation:
12.20*1.75*8
Answer:
good question................
PLEASE NEED HELP URGENTLY!
Raul tried to find the midpoint between 5 & 3i and 12 + 7i. Check his work below.
Sum=(5+(-3))+(12+7)i
=2+19i
so the midpoint is 1+ 19over2 i
What mistake did Raul make?
AHe subtracted the values instead of adding them.
BHe did not add the corresponding parts of the complex numbers.
CHe found the sum instead of the average because he forgot to divide by two.
DHe added the numbers in the wrong order.
Answer:
B.He did not add the corresponding parts of the complex numbers.
Step-by-step explanation:
A mid point is a point that is of equal distance to two reference points.
Given: Find the midpoint of 5+(-3)i and 12+7i.
These expressions have two parts: the value and complex number parts.
Thus the addition ought to have been;
(5+(-3i)) + (12+7i) = (5 - 3i) + (12 + 7i)
= (5 + 12) + (-3i + 7i)
= 17 + 4i
The midpoint can be determined as:
[tex]\frac{(17 +4i)}{2}[/tex]
Thus it can be observed that Raul did not add the corresponding parts of the complex numbers.
Answer:
bbbbbbbbb
Step-by-step explanation:
Mrs. Alonza ordered 4 x 10³ markers for her store. How many markers did she order?
Find three consecutive odd integers such that the sum of the first and the third is 34,
HURRY PLEASE
Answer:
15,17,19
Step-by-step explanation:
assume the first number is X which means the third number will be X+4 so X+ X+4=34
solve for X which will be 15
thus the numbers are 15,17 and 19
what is the 50th term of the sequence that begins -4,2,8,14,...?
A. 290
B. 294
C. 296
D. 300
Answer:
B
Step-by-step explanation:
I am learning this now and I used the equation I'm learning and I got 294.
Answer:
d
Step-by-step explanation:
d because 50th term is 300....50×6=300 thats the answerPLEASE ANSWER ASAP Find the slope of the line
Answer:
4
Step-by-step explanation:
Slope is [tex]\frac{rise}{run}[/tex]. Or, in other words the distance it travels in the y direction divided by the distance it travels in the x direction. Each time the y variable increments +4 and the x variable increments +1. Which means the line rises 4 units every time it runs 1 unit.
Slope=[tex]\frac{rise}{run}=\frac{4}{1}=4[/tex]
Mr. Chavez has assets of $250,000 and liabilities of $18,000. He decides to finance the entire amount of the purchase of a car valued at $26,000. Which of the following is true? a. Mr. Chavez increased his assets. b. Mr. Chavez increased his net worth. c. Mr. Chavez increased both his assets and net worth. d. Mr. Chavez did not increase his assets or his net worth. Please select the best answer from the choices provided A B C D
Answer:
C.
Step-by-step explanation:
Answer: C. Mr Chavez increased both his assets and net worth
Step-by-step explanation: edgenu 2021
Find the angle measures.
Justify your responses.
Given: a ||b, m∠6=128°
Find: m∠1, m∠3
Answer:
Step-by-step explanation:
It's given that a║b and m∠6 = 128°
Since, ∠1 and ∠3 are the consecutive interior angles,
m∠6 + m∠1 = 180°
128° + m∠1 = 180°
m∠1 = 180° - 128°
= 52°
Since, ∠6 and ∠3 are the corresponding angles,
Therefore, ∠6 ≅ ∠3
m∠3=52°
A company that makes hair-care products had 4,000 people try a new shampoo. Of the 4,000 people, 24 had a mild allergic reaction. What percent of the people had a mild allergic reaction?
The answer is 0.7%
Hope this helped!
Answer:
0.6%
Step-by-step explanation:
Percentage = 24/4000 *100
=0.6%
Please help, this chapter was on derivatives...
================================================
Work Shown:
Before we can use derivatives, we need to find the value of s when (x,y) = (15,20)
s^2 = x^2+y^2
s^2 = 15^2+20^2
s^2 = 225+400
s^2 = 625
s = sqrt(625)
s = 25
-----------
Now we can apply the derivative to both sides to get the following. Don't forget to use the chain rule.
s^2 = x^2 + y^2
d/dt[s^2] = d/dt[x^2 + y^2]
d/dt[s^2] = d/dt[x^2] + d/dt[y^2]
2s*ds/dt = 2x*dx/dt + 2y*dy/dt
2(25)*ds/dt = 2(15)*5 + 2(20)*(10)
50*ds/dt = 150 + 400
50*ds/dt = 550
ds/dt = 550/50
ds/dt = 11
-----------
Side note: The information t = 40 is never used. It's just extra info.
Given m||n, find the value of x.
x=21
Step-by-step explanation:
• 8x - 7 = 9x - 28
(group like terms)
• 8x - 9x = -28 + 7
• -1x = - 21
(negative cancels out)
• x = 21
What value of b will cause the system to have an
infinite number of solutions?
6
y = 6x-b
+3x+12y=-3
-3x + y = -3
b =
Answer: b=6
Step-by-step explanation:
I hope this helps on edge
To make the system have an infinite number of solutions, the value of b can be any real number.
What is a solution?Solutions are the values of an equation where the values are substituted in the variables of the equation and make the equality in the equation true.
We also find the solution in a system of equations using the substitution or elimination method.
Example:
2x + 4 = 8
The solution is x = 2.
We have,
For the system to have an infinite number of solutions, the two equations must be dependent, which means that one of the equations can be obtained by a linear combination of the other two equations.
So,
Let's rearrange the given equations into the slope-intercept form:
y = 6x - b _____(1)
3x + 12y = -3 ______(2)
-3x + y = -3 ______(3)
From equation (3),
y = 3x - 3 _______(4)
Now,
We can see that equation (1) is a multiple of equation (4) with a slope of 6/3 = 2.
Specifically, equation (1) can be obtained by multiplying equation (4) by 2 and then subtracting b from both sides.
So,
2(3x - 3) - b = 6x - b
Simplifying this expression.
6x - b = 6x - b
Since this equation is true for any value of x and b, we have an infinite number of solutions.
Therefore,
To make the system have an infinite number of solutions, the value of b can be any real number.
Learn more about solutions of equations here:
https://brainly.com/question/545403
#SPJ7
ions
How many solutions does this equation have?
1 solution
x + 3 + x + 3 = - (x + 4) + (3x - 2)
No solution
Infinite solutions
Explain your thinking
Answer:
I am not certain but I think it's no solution but how the number of X's their is and won't have it's value, it's by themselves
In the square pyramid shown below, the diagonal length FC = 16√2 centimeters and the height of the pyramid is 7 centimeters. Find the slant height AD of the pyramid, to the nearest tenth. Show your work with reasoning for each step.
Answer:
Don't have
Step-by-step explanation:
In the square pyramid shown below, the diagonal length FC = 16√2 centimeters and the height of thid, to the nearest tenth. Show your work with reasoning for each step. stepstep
What is the equation of the line that passes through the points (3,6) and (-4,-8)
Hi
You have two points A ( X;Y) and B ( X ; Y)
slope is : ( Yb -Ya) / (Xb -Xa )
( -8 - 6 ) / ( -4 - 3) = -14 /-7 = 2
slope is 2
now : we have : 2 ( 3) +... = 6
6 +0 = 6
equation of line is : y = 2x
Devra soled the
inequality, and she says that x= -10 is a solution
Lavan says that a negative value of r does not make
sense in the context of the problem. He says that
x=1 is a solution Who is correct? Explain
Answer:
What’s the problem? If you could attach the problem we can help u out!
Step-by-step explanation:
Find slope or line grab
Answer:
Step-by-step explanation:
divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points .
Francesca obtains a loan of $18.965.00. The loan has a simple interest rate of 3%. How much interest will Francesca owe at the end of the first year?
Answer:
$568.95
Step-by-step explanation:
Given parameters:
Value of loan = $18965
Interest rate = 3%
Time = 1year
Unknown:
Interest = ?
Solution:
The interest on a particular amount is given as:
I = [tex]\frac{PRT}{100}[/tex]
I is the interest
P is the principal
R is the rate
T is the time
I = [tex]\frac{18965 x 3 x 1}{100}[/tex] = $568.95
An ice cream factory makes 310 quarts of ice cream in 5 hours. How many quarts can they make per hour?
Identify the critical t. An independent random sample is selected from an approximately normal population with unknown standard deviation. Find the degrees of freedom and the critical t value t∗t∗ for the given sample size and confidence level. Round critical t values to 3 decimal places.Sample size, n Confidence level Degree of Freedom Critical value, t∗t∗5 90 13 95 22 98 15 99
Answer and Step-by-step explanation: The critical value for a desired confidence level is the distance where you must go above and below the center of distribution to obtain an area of the desired level.
Each sample has a different degree of freedom and critical value.
To determine critical value:
1) Calculate degree of freedom: df = n - 1
2) Subtract the level per 100%;
3) Divide the result by 2 tails;
4) Use calculator or table to find the critical value t*;
For n = 5 Level = 90%:
df = 4
t = [tex]\frac{1-0.9}{2}[/tex] = 0.05
Using t-table:
t* = 2.132
n = 13 Level = 95%:
df = 12
t = [tex]\frac{1-0.95}{2}[/tex] = 0.025
Then:
t* = 2.160
n = 22 Level = 98%
df = 21
t = [tex]\frac{1-0.98}{2}[/tex] = 0.01
t* = 2.819
n = 15 Level = 99%
df = 14
t = [tex]\frac{1-0.99}{2}[/tex] = 0.005
t* = 2.977
The critical values and degree of freedom are:
sample size level df critical value
5 90% 4 2.132
13 95% 12 2.160
22 98% 21 2.819
15 99% 14 2.977
Write the logarithmic expression as single logarithmic with coefficient 1, and simplify as much as possible. Assume that all variable expressions represent positive real numbers.
[tex] \frac{1}{3} log_{5}(p) + log_{5}(p^{2} - 25 ) - log_{5}(p - 5) [/tex]
Thanks in advance.
Answer:
log₅(p)¹/³(p+5)Step-by-step explanation:
1/3log₅(p) + log₅(p²-25) - log₅(p-5) = 1/3log₅(p) + log₅(p+5)(p-5) - log₅(p-5) =1/3log₅(p) + log₅(p+5) + log₅(p-5) - log₅(p-5) =1/3log₅p + log₅(p+5) =log₅(p)¹/³(p+5)Answer: The answer is log₅(p)¹/³(p+5).
Step-by-step explanation: