Answer:
40
Step-by-step explanation:
2³ + 4×8
8 + 32 = 40
PEMDAS:
Handle the exponents, multiply, then add.
Research suggests that red kangaroos have an average height of 63 in with a standard deviation of 4 in. What is the probability that a random sample of 45 kangaroos has an average of height that is greater than 70 inches.
Answer:
0.040
Step-by-step explanation:
We solve using z score
z = (x-μ)/σ,
where x is the raw score = 70 in
μ is the population mean = 63 in
σ is the population standard deviation = 4 in
z = 70 - 63 /4
z = 7/4
= 1.75
Probability value from Z-Table:
P(x<70) = 0.95994
P(x>70) = 1 - P(x<70)
= 0.040059
The probability that a random sample of 45 kangaroos has an average of height that is greater than 70 inches
is 0.040
andom variable X has CDF given as follows. Find the PMF of X.Find the PMF of X, and confirm that it is a valid PMF.
Complete Question
Random variable X has CDF given as follows
[tex]F(x)_x = \left \{ {{{{{{{ 0 \ \ \ \ \ \ \ \ \ \ x < 0} \atop {\frac{8}{33}} \ \ \ \ \ \ 0 \le x \le 1} \atop{ \frac{5}{11} }\ \ \ \ \ 1 \le x \le 2 } \atop {\frac{7}{11} } \ \ \ \ \ \ 2 \le x \le 3} \atop{ \frac{26}{33} }\ \ \ \ \ 3 \le x \le 4 }\atop {\frac{10}{11} } \ \ \ \ \ \ 4 \le x \le 5} \atop{ 1}\ \ \ \ \ \ \ \ 5 \le x } \right.[/tex]
Find the PMF of X.Find the PMF of X, and confirm that it is a valid PMF.
Answer:
Generally the PMF is
X 0 1 2 3 4 5
P(X = x) [tex]\frac{8}{33}[/tex] [tex]\frac{7}{33}[/tex] [tex]\frac{2}{11}[/tex] [tex]\frac{5}{33}[/tex] [tex]\frac{4}{33}[/tex] [tex]\frac{1}{11}[/tex]
Generally to prove the validity of the PMF we add the probabilities , if it is equal to 1 then the PMF is valid otherwise , the PMF is not valid
So
[tex]\sum P(X = x) = \frac{8}{33} + \frac{7}{33} + \frac{2}{11} + \frac{5}{33} + \frac{4}{33}+ \frac{1}{11}[/tex]
[tex]\sum P(X = x) =1[/tex]
Hence the PMF is valid
Step-by-step explanation:
Generally the probability of X = 0 is evaluated as
[tex]P(0) = F(0) \ \ (for \ x \le 0) - F(0) \ ( for \ x < 0)[/tex]
=> [tex]P(0) = \frac{8}{33} - 0[/tex]
=> [tex]P(0) = \frac{8}{33}[/tex]
Generally the probability of X = 1 is evaluated as
[tex]P(1) = F(1) \ \ (for \ 1 \le 0) - F(1) \ ( for \ x < 1)[/tex]
=> [tex]P(1) = \frac{5}{11} - \frac{8}{33}[/tex]
=> [tex]P(1) = \frac{7}{33}[/tex]
Generally the probability of X = 2 is evaluated as
[tex]P(2) = F(2) \ \ (for \ 2 \le x ) - F(2) \ ( for \ x < 2)[/tex]
=> [tex]P(2) = \frac{7}{11} - \frac{5}{11}[/tex]
=> [tex]P(2) = \frac{2}{11}[/tex]
Generally the probability of X = 3 is evaluated as
[tex]P(3) = F(3) \ \ (for \ 3 \le x ) - F(3) \ ( for \ x < 3)[/tex]
=> [tex]P(3) = \frac{26}{33} - \frac{7}{11}[/tex]
=> [tex]P(3) = \frac{5}{33}[/tex]
Generally the probability of X = 4 is evaluated as
[tex]P(4) = F(4) \ \ (for \ 4 \le x ) - F(4) \ ( for \ x < 4)[/tex]
=> [tex]P(4) = \frac{10}{11} - \frac{26}{33}[/tex]
=> [tex]P(4) = \frac{4}{33}[/tex]
Generally the probability of X = 5 is evaluated as
[tex]P(5) = F(5) \ \ (for \ 5 \le x ) - F(5) \ ( for \ x < 5)[/tex]
=> [tex]P(5) = 1- \frac{10}{11}[/tex]
=> [tex]P(5) = \frac{1}{11}[/tex]
Generally the PMF is
X 0 1 2 3 4 5
P(X = x) [tex]\frac{8}{33}[/tex] [tex]\frac{7}{33}[/tex] [tex]\frac{2}{11}[/tex] [tex]\frac{5}{33}[/tex] [tex]\frac{4}{33}[/tex] [tex]\frac{1}{11}[/tex]
Generally to prove the validity of the PMF we add the probabilities , if it is equal to 1 then the PMF is valid otherwise , the PMF is not valid
So
[tex]\sum P(X = x) = \frac{8}{33} + \frac{7}{33} + \frac{2}{11} + \frac{5}{33} + \frac{4}{33}+ \frac{1}{11}[/tex]
[tex]\sum P(X = x) =1[/tex]
Hence the PMF is valid
I will give you brainy if you answer!!
Answer:
im here lol can I have it?
from 5 miles to 16 miles. round to the nearest whole percent?
Answer:
220%
Step-by-step explanation:
you have to subtract 16 to 5 wich gives u 11 then u put that over five and divide and then u get 2.222222 repeating so it is 2.2 then you move the decimal to the left which gives you 220% hope this helps
Robert spends $30.45 before tax at the book store. If the sales tax rate in his city is 7.25%, what is the total cost of his purchase?
The total cost of Robert's purchase is $32.657625.
Given that, Robert spends $30.45 before tax at the book store and the sales tax rate in his city is 7.25%.
We need to find the total cost of his purchase.
What is the sales tax?A sales tax is a consumption tax imposed by the government on the sale of goods and services.
The total cost = 30.45+7.25% of 30.45
=30.45 + 0.0725 × 30.45
=30.45 + 2.207625
=32.657625
Therefore, the total cost of Robert's purchase is $32.657625.
To learn more about sales tax visit:
https://brainly.com/question/27092799.
#SPJ2
How did you do this question?
Answer:
R = ∞
I = (-∞, ∞)
Step-by-step explanation:
Use the ratio test:
lim(n→∞)│aₙ₊₁ / aₙ│
lim(n→∞)│[xⁿ⁺⁶ / (2(n+1)!)] / [xⁿ⁺⁵ / (2n!]│
lim(n→∞)│[xⁿ⁺⁶ / (2(n+1)!)] × (2n! / xⁿ⁺⁵)│
lim(n→∞)│x 2n! / (2(n+1)!)│
lim(n→∞)│n! / (n+1)!││x│
lim(n→∞) (1 / (n+1))│x│
0
The series converges if the limit is less than 1.
The limit is always less than 1, so the radius of convergence is infinite.
So the interval of convergence is (-∞, ∞).
The contractor in charge of organizing your pool complex project has informed you that he has found two landscape companies willing to do the work. The 1st company says they can get the entire job done in 72 hours. The 2nd company says they can get the job done in 24 hours. You've decided that it would be best if both companies worked together to get the job done quicker! How many hours would it take to complete the landscaping job if the two companies worked together?
Answer:
18 hours
Step-by-step explanation:
Time taken to complete the job by 1st company = [tex]72\ \text{hours}[/tex]
Time taken to complete the job by 2nd company = [tex]24\ \text{hours}[/tex]
The job completed in 1 hour by 1st company = [tex]\dfrac{1}{72}\ \text{job}[/tex]
The job completed in 1 hour by 2nd company = [tex]\dfrac{1}{24}\ \text{job}[/tex]
The amount of job completed in 1 hour if they both work together[tex]1\ \text{hour}=\dfrac{1}{72}+\dfrac{1}{24}=\dfrac{1}{18}\ \text{job}\\\Rightarrow 1\ \text{job}=\dfrac{18}{1}\ \text{hours}=18\ \text{hours}[/tex]
So, if both companies work together it will take 18 hours to finish the job.
Please help. only give brainliest to right answer
Answer:
We will find the value of each of the option to see which one is different
a) The opposite of 8
the opposite of 8 is -8
b) The distance between 5 and -3
distance is a scalar value and can NEVER be negative
So, distance = 8
c) The absolute value of 8
the absolute value of 8 is the modulus of 8
|8| = 8
d) The opposite of -8
the opposite of -8 is 8
From the above, we can see that the second, third and fourth options are equal except the first option
Which amount is closest to Nathan's total costs after the 15% discount and including 6% sales tax? [Assume tax is applied after the discount is applied.]
Total price = $266.63 + $317.29+62.78=646.7
Discount = 15%
Discount amount = (15/100) x 646.7
=$97.005
Price after discount = $646.7 - $97.005
=$549.695
Sales tax = 6%
Sales tax amount =(6/100) x $549.695
=$32.9817
Total cost = Price after discount + sales tax amount
=$549.695 + $32.9817
=$582.6767
=$$582.68
Savings account A contains $80. Lance will bein depositing money into this account at a rate of $3.50 per week.
Savings account B contains $95. Lara will begin depositing money into this account at a rate of $3.25 per week.
After how many weeks will both accounts contain the same amount of money?
O 290 weeks
15 weeks
0 3.75 weeks
O 60 weeks
Answer:
78
Step-by-step explanation:
dont use this
Nissa is going to plant 485485485 trees this year.
If Nissa plants 555 orchards of trees, how many trees will be in each orchard?
(Assume each orchard has the same number of trees.)
Answer:
97
Step-by-step explanation:
You would need to divide 485/5 to find how many trees in each orchard
485/5 = 97
to remember juice wrld 999 forever
Answer:
999 LUV
Step-by-step explanation:
LND LLJW999
Suppose Amanda LaCount is scheduled to dance 21 times in one month. If the ratio of dances completed to dances remaining is 3:4, how many dances has Amanda already performed?
Answer:
9
Step-by-step explanation:
if you add up the amount of dances she has to do, it equals 7. then you divide 21 by 7, which equals 3. then, you have to find the amount of dances she has already done, which would be 3 × 3 which equals 9.
Suppose the area of square A is 15 cm² and the area of square C is 42 cm².
What is the area of square B if the three squares create a right triangle?
Answer:
57cm2
Step-by-step explanation:
42cm cube time 15cm cube
Answer:
57cm2
Step-by-step explanation:
3x^0 for x=2.6
3x to the power of 0. for x is 26
uurgent HELPP
Answer:
3
Step-by-step explanation:
Any definite number (except zero) to the power one is one
So
3x^0
3 • 1
3
plz help and give me the real answer not just some random one and dont just say sorrry i dont know . just put the real answer if you dont know pls dont answer just skipp ir. im tired of people just wanting 5 point likes its just five and its not important....
Answer:
can we date plz don't my number 21976198649
john has measured some distance 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:
C: 92 miles
Step-by-step explanation:
Took test
Answer:
C the correct answer
Step-by-step explanation:
took the test
kx =v+w, for x
answer fast!
Answer:
x=v+w/k
Step-by-step explanation:
Answer:
x = [tex]\frac{v+w}{k}[/tex]
Step-by-step explanation:
Is √49 rational numher
Answer:
Yes
Step-by-step explanation:
Because 7x 7=49
Or 49 divided by 7 is 7
Answer:
yes
Step-by-step explanation:
b/c the sq root of 49 is 7
Heyyyy you can you help me plsssz
What is the value of the expression (81 1/4)^4?
Answer:solve the equation in the parenthesis and substitute 4
Step-by-step explanation:
Which credit myths did you believe prior to hearing this lesson? Explain why each of those are myths and not facts
Answer:
Can I see some more of the lessson?
Step-by-step explanation:
minimum or maximum value of f(x)=−0.5x2+2x−5.
In the equation assign each number a letter:
A = -0.5, b = 2 and c = -5
Maximum = -b/2a = -2/2(-0.5) = 2
Minimum = replace x in the equation with the maximum and solve for y:
-0.5(2)^2 +2(2) -5 = -3
Maximum and minimum = (2,-3)
PLZ HELP ASAP PLZ I WILL MARK YOU THE BRAINLYIST
Si se traslada con figura con lados paralelos,¿se mantienen así en la figura trasladada? Y si son perpendiculares
Answer:
sí, permanece así, todo lo que hace es mover las formas, no cambia la distancia entre sí ni la forma o tamaño de las mismas
Step-by-step explanation:
Espero que esto ayude :)
100 centimeters equals 1 meter. Convert 165 centimeters to meters
Answer:
1.65 MetersStep-by-step explanation:
Since 100 CM equals 1 Meter,
165 CM equals 1.65 Meters.
Hope this helps! <3
Answer:
1.65 meters
Step-by-step explanation:
100 cm = 1 m
165 cm = 1.65 m
Sorry that i can't explain more, i hope this helps though!
g Researchers are interested in learning about the age of women when they marry for the first time so they survey 500 married or divorced women and ask them how old they were when they first married. The collection of the ages of the 500 women when they first married is a
Complete question is;
Researchers are interested in learning more about the age of women when they marry for the first time so
they survey 500 married or divorced women and ask them how old they were when they first married. The
collection of the ages of the 500 women when they first married is a .............
A) Parameter B) Population C) Sample D) Statistic
Answer:
Option C: Sample
Step-by-step explanation:
We are told that a survey of 500 married or divorced women was carried out and they were asked how old they were when they first married.
Now, this survey represents a portion of the population. And a portion of the population surveyed is known as a Sample.
Thus, the correct answer is Option C
What does each small square in the model represent?
Answer:
Each small square represents 0.1 units.
Step-by-step explanation:
Answer:
It should equal 0.1 unit units each.
sorry if wrong.
0.54478x52.11055.6= i need the sum
Answer: the correct answer is 28.32272269768
Baby shark uwu
Do do do do do do do 28.388?
Find the value of the missing number.
Answer:
y= 9
x= 10
Explanation:
I don't really know if this is correct-