Using the inverse binomial distribution, it is found that there is a 0.081 = 8.1% probability that the third caller is the first to correctly answers the question.
The number of callers that correctly answer the question is a binomial variable, however, we want the probability of the third caller being the first to answer the question correctly, hence it is a negative binomial variable.
Inverse binomial:
It is the number of trials until q successes of a binomial variable, with p probability of success.
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 question:
Number of trials until 1 success, hence [tex]q = 1[/tex].0.1 probability of a success on each trial, hence [tex]p = 0.1[/tex].The probability that the third caller is the first to correctly answers the question is P(X = 3), hence:
[tex]P(X = x) = C_{x+q-1,q-1}(1 - p)^xp^q[/tex]
[tex]P(X = 3) = C_{3,0}(0.9)^2(0.1)^1 = 0.081[/tex]
0.081 = 8.1% probability that the third caller is the first to correctly answers the question.
To learn more about the inverse binomial distribution, you can take a look at https://brainly.com/question/14581720
WILL GIVE BRAINLIEST!!!! just need help with number 23!! i can calculate well so i just need someone to set it up for me!! i think it’s supposed to be in standard form
Answer: 7.3 pounds of coarse sand.
Step-by-step explanation:
The larger of two numbers is four times the smaller number, and their difference is 18. Find the two numbers.
Answer:
x = 12 , y = 10
Step-by-step explanation:
Let x , y are two numbers.
x > y
1 ) Three times the greater is 18 times their
difference
3x = 18( x - y )
x = 6( x - y )
x = 6x - 6y
6y = 5x
y = 5x/6 ——-( 1 )
2 ) 4 times the smaller is 4 less than twice
the sum of the two
4y + 4 = 2 ( x + y )
2y + 2 = x + y
y = x -2 ——( 2 )
From ( 1 ) and ( 2 ) ,
5x/6 = x -2
( 5x /6 ) - x = -2
( 5x - 6x ) /6 = -2
-x = -12
x = 12
Put x = 12 in equation ( 2 ) , we get
y = 12 - 2
y = 10
Therefore ,
x = 12 , y = 10
Priya has a recipe for banana bread. She uses 712 cups of flour to make 3 loaves of banana bread. Andre will follow the same recipe. He will make b loaves of banana bread using f cups of flour. Which of these equations represents the relationship between b and f? Group of answer choices
Answer:
[tex]2f =5b[/tex]
Step-by-step explanation:
Given
[tex]7\frac{1}{2}\ cups = 3\ loaves[/tex]
Required
Determine the relationship between b loaves and f cups
The question shows that the relationships between cups of flour and loaves of bread is direct proportional.
So, we have:
[tex]f\ cups = b\ loaves[/tex]
and
[tex]7\frac{1}{2}\ cups = 3\ loaves[/tex]
Cross Multiply:
[tex]f * 3 = 7\frac{1}{2} * b[/tex]
[tex]3f = 7\frac{1}{2}b[/tex]
Convert fraction to improper numbers
[tex]3f = \frac{15}{2}b[/tex]
Cross Multiply
[tex]2 * 3f = 15b[/tex]
[tex]6f = 15b[/tex]
Divide through by 3
[tex]2f =5b[/tex]
Hence, the expression is: [tex]2f =5b[/tex]
At the local bakery, Ariel bought 2 oatmeal cookies for $1.50. Mei bought 12 dozen oatmeal cookies for $4.50.
Becky bought 8 oatmeal cookies for $6.00.
Which graph represents the situation?
Answer: You would end up with .75 because when dividing each oatmeal bought by the amount that is how you will end up with 75
Step-by-step explanation:
are all integers rational numbers?
Answer:
yes
Step-by-step explanation:
all integers can be formed from the division of two other whole numbers.
Answer:
yes all integers are rational numbers
11
6
8
5
-12-11-10-9-8-7-6-5-4-3-2
1 2 3 4 5 6 7 8 9 10 11 12
-10
-11
Step-by-step explanation:
I u are looking for the slope the correct answer would be -6/5
or the equation would be y= -6/5 - 2
isosceles triangle with sides 3.5 in, 3.5 in, and 6 in.
Answer:
A=36.75
Step-by-step explanation:
A=bh(½) is the formula for the area of a triangle.
3.5 times 3.5 is 12.25.
When you multiply this by 6 you get 73.5.
After dividing or multiplying by 2 or ½ you get 36.75.
This is your answer. Hope this helped. Sorry if it is wrong. Please tell me if it is wrong or right I do not want to be kept in suspense.
-Not professional LampteyJ
Which number sentence is not true?
OA) |-20| < 20
OB) |9| = 9
OC) |-20| > |9|
OD) |9|< 20
Answer:
Option A is correct option
Step-by-step explanation:
We need to find which number sentence is not true.
We will check each option.
Option A
|-20| < 20
We know that |-a|=a
20 < 20 (false)
So, this number sentence is not true.
Option B
|9| = 9
We know that |a|=a
9=9 (true)
So, this number sentence is true.
Option C
|-20|>|9|
We know that |-a|=a
20>9 (true)
So, this number sentence is true.
Option D
|9| < 20
We know that |a|=a
9<20
So, this number sentence is true.
So, Option A is correct option
the equation 2×+y=8 expressed in y form is?
need kopp ans
Answer: I think this is the answer Y=-2x+8
A local landscaping company charge $15 per hour to mow your yard they also charge a flat fee of $10 for gas at how many hour will it cost you.$85 for them to mow your yard
Answer:
IN 7 HOURS
Step-by-step explanation:
YOU DO 15*7+10
What is BC ?
Enter your answer in the box.
BC=___units
Answer:
I'm pretty sure it would be 5x
Step-by-step explanation:
use slope-intercept form to write the equation of a line that goes through the points (-1,-6) and (3,2)
Answer:
y=2x-4
Step-by-step explanation:
Find the missing number. Enter your answer.
80
х
?
=
640
Answer:
8
Step-by-step explanation:
640/80=8
8*80=640
Answer:
The answer is 8.
Step-by-step explanation:
80x=640
80x /80 = 640 /80
x=8
I WILL MARK BRAINLIEST! I NEED HELP ASAP! Solve for x, y, and a.
Answer:
a = 14, x = 55, y = 60
Step-by-step explanation:
a: Find the number that is between 10 and 18, 10 + 18 = 28 divide by 2 = 14, so a = 14
x: Due to corresponding angles theorem, so x = 55 degrees
y: Straight line is 180 degrees, and as we can see at the left side of the image there's a straight line where only 55 degrees was identified so 180 - 55 = 125 and since x = 55 degrees due to corresponding angles, the angle above y is 120 also due to corresponding angles. A quadrilateral is 360 degrees, so:
125 + 55 + 120 + y = 360
180 + 120 + y = 360
300 + y = 360
y = 60
what is 5/6 ÷ 5/16 ?
Answer:
2.66666666667 Rounded it would be 2.7
Step-by-step explanation:
The first time Lori played a game, she scored 100 points. She doubled her previous score each of the next 3 times she played the game. What was Lori's scored the first 4 times she played the game
Answer:
1500 points
Step-by-step explanation:
Given
[tex]Initial\ Score = 100[/tex]
[tex]Rate = 2[/tex]
Required
Determine the total score in first 4 games
This question illustrates a geometry progression and will be solved as follows:
[tex]S_n = \frac{a(r^n - 1)}{r - 1}[/tex]
Where
[tex]a = First\ Term = 100[/tex]
[tex]r = common\ ratio = 2[/tex]
[tex]n = 4[/tex]
[tex]S_4 = \frac{100(2^4 - 1)}{2 - 1}[/tex]
[tex]S_4 = \frac{100(16 - 1)}{1}[/tex]
[tex]S_4 = \frac{100(15)}{1}[/tex]
[tex]S_4 = 1500[/tex]
Hence, the score in first four games total 1500 points
2/5 ÷ 3 1/10,4 1/3 ÷ 4/7, 3 1/6 ÷ 9/10, and 5/8 ÷ 2 7/12. Could anyone help me with those problems please?
2/5 by 31/10 is 4/31 and 4 1/3 by 4/7 is 91/12 and 3 1/6 by 9/10 is 95/27 and 5/8 by 2 7/12 is 15/62.
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the time that the rocket will hit the ground, to the nearest 100th of second. -16x^2+129x+119
Answer:
8.90 seconds
Step-by-step explanation:
When the rocket hits the ground, its height ( y ) will be zero. This means we can write the equation as:
0 = -16x²+129x+119So we need to solve that equation:
a = -16b = 129c = 119x = [tex]\frac{-b\frac{+}{-}\sqrt{b^2-4ac} }{2a}[/tex]x₁ = -0.84
x₂ = 8.90
We discard x₁, as it is negative.
So the answer is x₂, 8.90 seconds.
PLS HELP ILL MARK BRAINLEST
Answer:
the answer is b
Step-by-step explanation:
4*4=16, 16+6=22, making b correct
Find the difference of (t−8)−(t+15)
Answer:
Step-by-step explanation:
(t-8)-(t+15)
t-8-t-15
t-t-8-15
-23
The value of the expression after subtraction will be;
⇒ - 23
What is mean by Subtraction?
Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.
Given that;
The expression is,
⇒ (t - 8) - (t + 15)
Now,
Subtract the expression as;
⇒ (t - 8) - (t + 15)
⇒ t - 8 - t - 15
⇒ t - t - 8 - 15
⇒ - 23
Thus, The value of the expression after subtraction will be;
⇒ - 23
Learn more about the subtraction visit:
https://brainly.com/question/28467694
#SPJ2
Myriam bought one bottle of water for
$199 and xbags of chips for $125 at the
• store. Write an expression that
represents how much money Myriam
spent at the store.
Answer:
$199 + $125 = ?
Step-by-step explanation:
Thats the expression for how musch she spent
Answer: y= 1.25x +1.99
Step-by-step explanation:
I think this would be the answer if I'm not mistaken.
The equation y-3=-2(x+5) is written in point-slope form. What is the y-intersept of the line?
A= -13
B= -7
C= 2
D= 8
Answer:
The correct answer would be B! -7
Dr. Mann mixed 9.357 g of chemical A, 12.082 g of chemical B, and 7.502 g of chemical C to make 5 doses of medicine. About how much medicine did he make in grams? Estimate the amount of each chemical by rounding to the nearest tenth of a gram before finding the sum. Show all your thinking.
Answer:
Step-by-step explanation:
.
1) About how much medicine did he make in grams?
Dr. Mann mixed
9.357 g of chemical A,
12.082 g of chemical B,
7.502 g of chemical C
We can determine total amount of medicine that was prepared by Dr. Mann by summing up the chemicals (A,B,C)
=( 9.357grams of A + 12.082grams of B+ 7.502grams of C)
= 28.941 grams in total
The next step is to round up those chemicals value to their nearest tenth as asked by question
Dr. Mann mixed
9.357 g of chemical A= 9.4grams
12.082 g of chemical B,=12.1grams
7.502 g of chemical C =7.5grams
2)Estimate the amount of each chemical by rounding to the nearest tenth of a gram before finding the sum.
Then the sum after rounding up to nearest tenth is
(9.4grams +12.1grams + 7.5grams)
=29 gram
Given that these triangles are similar, which side corresponds to side GE?
Given that these triangles are similar, which side corresponds to side JK?
I NEED HELP ASAP
Answer:
1.KL
2.FG
Step-by-step explanation:
I hoped I helped
The side corresponds to side GE is Kl and the side corresponds to side JK is GF
What is similarity?Similarity is a term used for similar figures, in similar figures, we have equal corresponding angles and corresponding sides in equal ratios.
Given that, the two triangles are similar, since the figure of triangles is not given, we will consider the triangles attached to the solution,
We know that, the similar triangles are having corresponding sides are in equal ratios,
The triangles are Δ GEF ~ Δ KLJ
So, the corresponding sides are :
GE ~ KL
EF ~ LJ
GF ~ JK
Hence, the side corresponds to side GE is Kl and the side corresponds to side JK is GF
Learn more about similarity, click;
https://brainly.com/question/26451866
#SPJ6
ANSWER IT PLS I NEED HELP :(
Answer: no solutions
What two numbers can you ADD to = 9
and MULTIPLY to = -36
A. -3 + 12 and (-3)(12)
B. -2 + 18 and (-2)(18)
C. -1 + 36 and (-1)(36)
Answer:
a
Step-by-step explanation:
the answer is a because adding -3 to 12 will make 9 and -3 × 12 is -36.
Ricky rolled a 6-sided die 23 times and got the number "5" seven times. Using experimental probability, what are the odds (in a percent) that Ricky will roll a "5" on his next turn? A. 71.4% B. 16.7% C. 30.4% D. 21.7%
Answer:
D
Step-by-step explanation:
EZ 15 points!
Q1: Show an action-reaction pair from two objects with different masses and the resulting motion.
Q2: Show an action-reaction pair with masses of your choosing and the resulting motion.
Answer:
In a collision between two objects, both objects experience forces that are equal in magnitude and opposite in direction. Thus, if the colliding objects have unequal mass, they will have unequal accelerations as a result of the contact force that results during the collision.
Step-by-step explanation:
dont know the question 2 answer
hope the first one helps tho
Who has a constant rate of pay
Answer:
Jane has a constant rate of pay because her earnings go up by 12 every unit of time.
Triangle ABC is graphed in the coordinate plane.
Point A is located at (1, 1).
• The distance between A and B is 3 units.
• The distance between B and Cis 3 units.
Select the correct graph of AABC.
Answer:
Option C
Step-by-step explanation:
Just looking at the coordinate plane, you can count the lengths of both of the triangles: Option C’s triangle of the distance between A and B is 3 units, and the distance between B and C is also 3 units. But, Option D’s triangle has a length of 4 and 3, where the distance between A and B is 4 units, and the distance between B and C is 3 units. So choose Option C because the distance between A and B in the triangle is 3 units, and the distance between B and C in the tirangle is also 3 units.
Hope this helps and answers your question! :)