Using the negative binomial distribution, it is found that:
a) [tex]E(X) = 15[/tex]
b) [tex]Var(X) = 6.67[/tex]
c) [tex]P(X = 12) = 0.0883[/tex]
Negative binomial distribution:
It is the number of trials until q successes of a binomial variable, with p probability of success.
The expected value is:
[tex]E(X) = \frac{q}{p}[/tex]
The variance is:
[tex]Var(X) = \frac{pq}{(1 - p)^2}[/tex]
The probability mass function is:
[tex]P(X = x) = C_{x+q-1,q-1}(1 - p)^xp^q[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this problem, the parameters are: [tex]q = 6, p = 0.4[/tex].
Item a:
[tex]E(X) = \frac{6}{0.4} = 15[/tex]
Item b:
[tex]Var(X) = \frac{6(0.4)}{(1 - 0.4)^2} = 6.67[/tex]
Item c:
[tex]P(X = 12) = C_{17,5}(0.6)^12(0.4)^6 = 0.0883[/tex]
To learn more about the negative binomial distribution, you can take a look at https://brainly.com/question/15246027
help fast help fast help fast help fast help fast help fast help fast help fast help fast help fast help fast help fast help fast help fast help fast help fast help fast help fast help fast help fast help fast help fast help fast help fast help fast help fast help fast help fast help fast
Answer:
4
Step-by-step explanation:
The number in from of sin is the frequency
Answer:
4
Step-by-step explanation:
Please please help me
[tex]1)3k - 2k \\ = k(3 - 2) \\ = k(1) \\ = k[/tex]
[tex]2) {5x}^{2} - 10x - {8x}^{2} + x \\ = {5x}^{2} - {8x}^{2} - 10x + x \\ = - 3 {x}^{2} - 9x \\ = - 3x(x - 3)[/tex]
[tex]3) - (m + n) + 2(m - 3n) \\ = - m - n + 3m - 6n \\ = - m + 2m - n - 6n \\ = m - 7n [/tex]
Hope you could get an idea from here.
Doubt clarification - use comment section.
Look at the top questions. Pls I need help asap I don’t get it
2 years,18 month.express the first quantity as a percentage of the second quantity
Answer:
2 years= 12 months
12÷18×100= 66.67%( approx)
2) 20cm=200mm
225÷200×100
=112.5%
Step-by-step explanation:
Answer:
2 years= 12 months
12÷18×100= 66.67%( approx)
Step-by-step explanation:
So when you are adding fractions how do you know when you need to simplify the numbers and how do you simplify?
Let's look at an example.
We'll add the fractions 1/6 and 1/8
Before we can add, the denominators must be the same.
To get the denominators to be the same, we can...
multiply top and bottom of 1/6 by 8 to get 8/48multiply top and bottom of 1/8 by 6 to get 6/48At this point, both fractions involve the denominator 48. We can add the fractions like so
8/48 + 6/48 = (8+6)/48 = 14/48
Add the numerators while keeping the denominator the same the entire time.
The last step is to reduce if possible. In this case, we can reduce. This is because 14 and 48 have the factor 2 in common. Divide each part by 2.
14/2 = 748/2 = 24The fraction 14/48 reduces to 7/24
Overall, 1/6 + 1/8 = 7/24
SOMEONE PLS HELP ME WITH GEOMETRY: what triangle is congruent to ABC?
Answer:
MLK :)
Step-by-step explanation:
Congruent means identical shape.
Answer:
D. KLM
Step-by-step explanation:
Fill in the blanks to solve this equation
Answer:
Step-by-step explanation:
Carol's Phone Service charges $17.62 for an activation fee plus $3 for every gigabyte (g) used. Which of the following graphs models the situation?
Answer:
a
Step-by-step explanation:
17.62 y intercept
slope 1/3
Help help help help hep
i think that the answer is 0 because f(2) means that you substitute 2 for x
2(2)=4
4-4=0
LAST ATTEMPT IM MARKING AS BRAINLIEST!! (Finding missing sides- similar triangles Algebraic practice )
Answer:
k=6
?=24
Step-by-step explanation:
[tex] \frac{ln}{xz} = \frac{nm}{zy} = \frac{lm}{xy} [/tex]
[tex] \frac{36}{k + 3} = \frac{44}{k + 5} [/tex]
Now we just cross multiply
44(k+3)=36(k+5)
44k+132=36k+180
Take k-values to one side
44k-36k=180-132
8k=48
k=6
Now we can use k to find ?
[tex] \frac{44}{6 + 5} = \frac{36}{6 + 3} = \frac{?}{6} [/tex]
once simplified we get:
[tex] \frac{44}{11} = \frac{36}{9} = \frac{?}{6} [/tex]
[tex]4 = 4 = \frac{?}{6} [/tex]
in essence we know that:
[tex] \frac{4}{1} = \frac{?}{6} [/tex]
so we can cross multiply:
?=24
MCQS:
Solve for X: X-3 = 27/64
A. 42
B. 43
C. 34
D. 14
Answer:
219/64
Step-by-step explanation:
x - 3 = 27/64
64(x - 3) = 27
64x - 192 = 27
64x = 27 + 192
64x = 219
x = 219/64
Answer:
[tex]x = 3.4218[/tex]
Step-by-step explanation:
[tex]x -3=\frac{27}{64}[/tex]
[tex]64(x-3)=27[/tex]
[tex]64x-192=27[/tex]
[tex]64x=27+192[/tex]
[tex]64x=219[/tex]
[tex]\frac{64x}{64} =\frac{219}{64}[/tex]
[tex]x = 3.4218[/tex]
Hope this helps you :-)
Let me know if you have any other questions :-)
Here’s the question:
Steven earns extra money babysitting. He charges $46.50 for 6 hours and $62.00 for 8 hours. Enter an equation to represent the relationship. Let x represent the number of hours Steven babysits and y represent the amount he charges. The equation is y =
I’m stumped. Can you help me find the answer along with an explanation? Thanks.
Answer:
An easy way to solve this problem is divide $23.25 by 3 or $54.25 by 7. Either way, you get $7.75. This number represents the amount of money he makes for 1 hour. So with that in mind, the correct equation is:
$7.75x = y
Step-by-step explanation:
Answer: y = 7.75x
Step-by-step explanation:
Find the difference of charges between 6 hours and 8 hours
62-46.5 = 15.5 for 2 hours
15.5/2 = 7.75/hr
62 = 7.75 x 8
Therefore there is no initial charge, and that the relationship is linear
so y = 7.75x
Ashleigh went to Cape Canaveral to watch the space shuttle take off. The solid rocket boosters are ejected after the shuttle passes through the threshold of space. This is scheduled to occur when the shuttle reaches a height of 354,200 feet. If Ashleigh is 10 miles from the launchpad, what will be the angle of elevation she has to look up to see the boosters ejected?
A dog runs 100 meters in 4 seconds. A lion runs 250 meters in 10 seconds.
What is the difference in their speeds?
Answer:
C their speeds are equal
Answer: C) Their speeds are equal
Step-by-step explanation:
Use the speed-distance equation
Dog - s=d/t = 100/4 = 25m/s
Lion - s=d/t = 250/4 = 25m/s
What is 5,783 divided by 6 ?
(15 points) Critique Reasoning Jamie says that the
expressions 6x - 2x + 4 and 4(x + 1) are not
equivalent because one expression has a term
that is subtracted and the other does not. Do
you agree? Explain.
a
Answer:
they are the same
Step-by-step explanation:
6x - 2x + 4 ← collect like terms
= 4x + 4
and
4(x + 1) ← distribute parenthesis by 4
= 4x + 4
The 2 expressions are equivalent to 4x + 4
Answer:
No, Jamie is incorrect
Step-by-step explanation:
No, because in the expression 4(x+1) you will first need to multiply 4 by x, your result is 4x, and then you multiply 4 by 1, you get 4, so the answer will be 4x+4.
Also in the expression 6x-2x+4 ,you will first need to subtract 2x from 6x, your result is 4x ,and then you add 4 , so the answer will be 4x + 4
Our final answer is:
6x-2x+4 = 4x + 4 and 4(x+1) = 4x + 4
Anyone know how to work this problem? I need to find the domain and range
Answer:
Step-by-step explanation:
Domain : [-9,-3]
Range: [2,6]
Answer:
um I think it's the range is 30
how can I simplify of 9/20:3/5 please explain step by step
Answer:
Mark as brainlist
Step-by-step explanation:
Steps for dividing fractions
Find the reciprocal of the divisor. Reciprocal of 35: 53.
So, 920 ÷ 35 = 920 × 53.
= 9 × 520 × 3 = 4560.
After reducing the fraction, the answer is 34.
Answer:
3/4
Step-by-step explanation:
9/20:35=9/20/3/5
=9/20*5/3
=45/60
=simplify both numbers by 15
=3/4
A camper attaches a rope to the top of her tent to give it more support. She stakes the rope, which is 8 ft long, to the ground at a distance of 6 feet from the middle of her tent. About how tall is her tent?
Answer:
5.3
Step-by-step explanation:
8^2 - 6^2 = x^2
64 - 36 = x^2
28 = x^2
Square root of 28 is approx 5.3
Please confirm my answer to be correct
Answer:
Actually, Corresponding angles are congruent.
Step-by-step explanation:
They are only supplementary in the special case where they are both 90°
Answer:
Option D
Step-by-step explanation:
Since we know that measure of corresponding angles are equal. So, corresponding angle are congruent to each other
Which graph best represents the equation x2 + (y – 1)2 = 3?
Answer:
Step-by-step explanation:
assuming the equation is x^2 + (y - 1)^2 = 3
Divide £121 in the ratio 2:9.
is this one of your answer choice?
One advantage of a variable interest rate over a fixed interest rate is that a
variable rate:
A. is often lower initially
B. offers borrowers more flexible terms.
c. can be used for large purchases.
D. increases when the market rate increases
The term variable implies that the rate is bound to change over time, in this context variable interest rate may double as an Advantage and also as a disadvantage.
D. increases when the market rate increases
Variable interest rate is advantageous because as the market rate increases, the rate at which the customer will receive his/her interest will increase too
Learn more about interest rate here:
https://brainly.com/question/25720319
Answer: a
Step-by-step explanation:
Ramon surveyed his friends about their favorite snacks. He found that 1/6 of his friends prefer trail mix. What is the equivalent decimal for the fraction of friends that prefer trail mix? Drag and drop the correct number to the box. 1/6 0.16 or 6
Answer:
hlp
Step-by-step explanation:
hlp
How is compound interest different from simple interest?
O A. Compound interest accrues on the down payment as well as the
principal.
B. Compound interest accrues only on the initial amount borrowed.
C. Compound interest accrues daily, monthly, or quarterly rather than
annually.
D. Compound interest accrues on the interest, as well as the
principal.
Answer:
D. Compound interest accrues on the interest, as well as the
principal.
Answer:
D. Compound interest accrues on the interest, as well as the
principal.
Step-by-step explanation:
Write as the opposite of a square root. -3√5
Answer:
3x5² is the opposite of ur uestion
The value of -3√5 as the opposite of the square root is -75.
What is square root?The factor of a number that, when multiplied by itself, yields the original number is known as the square root of the number. Special exponents include squares and square roots. Think about the number 9. When the number 3 is multiplied by itself, the result is 9.
Given:
-3√5
The opposite of the square root is the square, so,
-3√5 = -3 × 5²
-3√5 = - 3 × 25
-3√5 = - 75
To know more about square root:
https://brainly.com/question/9459418
#SPJ2
PLZZZ HELP, BEST ANSWER GETS BRANLIEST AND ITS DUE IN 5 MINUTESSS,
The figure shows two triangles on the coordinate grid:
Which of the following statements is true about the three quadrilaterals? (5 points)
A and B are similar but not congruent.
A and C are similar but not congruent.
A and B are similar and also congruent.
B and C are similar and also congruent.
Answer:
The first one
Step-by-step explanation:
A and B are similar because the proportions are the same.
A is congruent to C but none of the answers ask that.
Full explanation and answers on these 2 questions please. Also only answer if u know what ur doing.
Step-by-step explanation:
Q3
25 - (x-8)²/4 = [100 - (x-8)²]/4
[100 - (x²- 16x + 64)]/4
(100 - x² + 16x - 64)/4 = (-x² + 16x + 36)/4
(36 + 16x - x²)/4 = (36 - 2x + 18x - x²)/4
[2(18 - x) + x(18 - x)]/4 = [(2 + x)(18 - x)]/4
....proved
Q4
3(ax + 7) - 2(x + b) = 4x + 29
expanding,
3ax + 21 - 2x - 2b = 4x + 29
3ax - 2x + 21 - 2b = 4x + 29
Comparing terms; x terms,
3ax - 2x = 4x
3a - 2 = 4
3a = 6
a = 6/3
a = 2
constant terms,
21 - 2b = 29
21 - 29 = 2b
2b = -8
b = -8/2
b = -4
.... proved
how do you write this expression in word form?
Answer:
d-7 divided by 2 or over 2
Please answer.
No scammers and links
all triangles are similar but B and D may be the answer