A friend recently planned a camping trip. He had two flashlights, one that required a single 6-V battery and another that used two size-D batteries. He had previously packed two 6-V and four size-D batteries in his camper. Suppose the probability that any particular battery works is p and that batteries work or fail independently of one another. Our friend wants to take just one flashlight. For what values of p should he take the 6-V flashlight
Answers
Answer:
The values of p = 0 < p ≤ 2/3
Step-by-step explanation:
First we write the probability of 6V flashlight working representing it as a binomial mass function of a binomial random variable
P ( 6v flashlight working ) = P ( at least one 6V battery works )
= P ( 1 6v battery work ) + P ( 2 6v battery work )
= b( 2; 2, p ) + b( 1; 2, p )
write out a formula of b( 2; 2, p ) + b( 1; 2, p )
P ( 6v flashlight working ) = p^2 + 2p( 1 - p )
Next we write the probability of D flashlight working representing it as a binomial mass function of a binomial random variable
P ( D flashlight works ) = p ( at least two D batteries works )
= b( 4; 4, p ) + b(3;4, p ) + b(2; 4, p )
write out a formula of b( 4; 4, p ) + b(3;4, p ) + b(2; 4, p )
P ( D flashlight works ) = [tex]P^4 + 4p^3 ( 1- p ) + 6p^2 ( 1- p)^2[/tex]
attached below is the remaining solution
Related Questions
can someone help me on this
Answers
Answer:
1) Reflections just change the signs of the coordinates, so (1.5, -2) and (-1 and 1/2, 2) are reflections of each other. Also (1.75, -4) and (-1 and 3/4, 4)
2) From left to right: -1.75, -3/4, 1/4, 0.75, 1 and 1/2.
Remember that each 1/4 = 0.25, so this could help you work out fractions and decimals.
Answer:
First question answer: D Second Question answer: (lowest to highest) -1.75, -3/4, 1/4, 0.75, and 1 1/2
Step-by-step explanation:
True or False: The Commutative Property of Addition states that for all expressions a and b , ab = ba.
Answers
According to the Commutative Property of Addition, ab = ba for all expressions a and b: FALSE
What is the Commutative Property of Addition?According to the commutative property of addition, altering the order of addends has no impact on the sum. Here's an illustration: 4 + 2 = 2 + 4 4 + 2 = 2 + 4 4+2=2+4. The addition and multiplication arithmetic operations are covered by the commutative property. This implies that the outcome of adding or multiplying two numbers remains unchanged if the order or position of the numbers is changed. For instance, 4 + 5 equals 9, and 5 + 4 equals 9.According to the Commutative Property of Addition, rearranging the addends has no impact on the sum.
a+b=b+aTherefore, the statement "according to the Commutative Property of Addition, ab = ba for all expressions a and b" is FALSE
Know more about Commutative Property of Addition here:
https://brainly.com/question/778086
#SPJ1
Santa has many toy to deliver on elm street. If there are 48 kids that live on elm street and 12 of them are boys, what is the ratio of girls to boys ?
Answers
Answer:
36 to 12
Step-by-step explanation:
subtract 12 from 48 an you get 36 girls
Jana ran the first 312 miles of a 5-mile race in 13 hours. What was her average rate, in miles per hour, for this first part of the race? Explain how you solved the problem.
Answers
Answer:
speed = distance / time
Jana's speed is
speed = (3.5 mi)/(1/3 h) = 3*3.5 mi/h = 10.5 mi/h
Which of the following correctly describes the end behavior of the polynomial
function, f(x) = 2x4 - 3x2 + 2x?
A. The left end goes up and the right end goes down.
B. Both ends go down.
C. Both ends go up.
D. The left end goes down and the right end goes up.
Answers
Answer:
both ends go up
Step-by-step explanation:
Marion and Stefan played a game called "Go." Marion won five times the difference between the number of games Stefan won and the number four. If Marion won fifteen games, then how many games did Stefan win?
Answers
Answer:
1 game
15/5=3
4-3=1
Hope it helps
please follow me
Using a system of equations, it is found that Stefan won 7 games.
In our system, we have that:
x is the number of games Marion won.y is the number of games Stefan won.Marion won five times the difference between the number of games Stefan won and the number four, hence:
[tex]x = 5(y - 4)[/tex]
Marion won 15 games, hence [tex]x = 15[/tex], and:
[tex]15 = 5(y - 4)[/tex]
[tex]y - 4 = 3[/tex]
[tex]y = 7[/tex]
Stefan won 7 games.
A similar problem is given at https://brainly.com/question/19314231
8 times the difference between a number and 6 is equal to 4 times the number.
What is the number?
OA. 12
OB. 4
OC. 16
OD. 48
Answers
Answer:
it's either A (12) or B(4) but I think it's 12
Step-by-step explanation:
if we make it into an equation, we get
8(x-6)=4x
8x-48=4x
-48=-4x
-12=-x
x=12
the reason why it might be 4 as well is if we switch the order
8(6-x)=4x
48-8x=4x
48=12x
x=4
So both of those could be correct, but I'm thinking that because they said between a number and 6, then x goes first, so therefore, I think it is 12
Last month you spent $30 on clothing. This month you spent 150% of what you spent last month. Set up a proportion to model this situation. How much did you spend this month?
You spent $*blank* this month.
Answers
Answer:
$45
Step-by-step explanation:
x=1.5(30)
x=45
$43 shirt; 6% tax Please Help!!
Answers
Answer:
tax is 2.58
Step-by-step explanation:
Answer:
.06 times 43 is $2.53 in tax
Step-by-step explanation:
Solve for g: 19 > 2(g + 7.9).
Answers
Answer: g < 1 3/5
Step-by-step explanation:
first, i removed the parentheses.
19 > 2g + 15.8
then, i moved the terms.
-2g > 15.8 - 19
the, i calculated that.
-2g > -3.2
finally, i divided both sides.
g < 1.6
the alternative form is g < 1 3/5
(basically, the second answer)
Find the slope of the line that passes through the points (1,-4) and (3, -1).
Answers
Answer:
use cymath it really helps with finding slopes
Step-by-step explanation:
Please explain the relationship between a hypothesis and an experiment.
Answers
Answer:
A hypothesis is "is a suggested solution for an unexplained occurrence that does not fit into current accepted scientific theory. The basic idea of a hypothesis is that there is no pre-determined outcome.". And an experiment is "is defined as to try out something new or to test a theory. An example of experiment is when you try out a new hair style. An example of experiment is when you use test tubes and chemicals in a lab to complete a project and to try to better understand chemical reactions.".
If you have 2 pieces of spaghetti that have lengths 4 cm and 10 cm, what could be the possible length of a third piece of spaghetti to complete the triangle? cm < x < cm
Answers
Answer:
6 < third side < 14
Third side must be greater than 6 and less than 14
Step-by-step explanation:
A triangle can be formed from 2 sides of any length.
The third side must be longer than the difference of the other 2 sides and
the third side must be less than the sum of the other 2 sides.
(if this question is from k12 lesson check)
given the function f(x)= 3^ - 2 what is the value of f (3)
Answers
f(3) = 3^3 - 2 <=>
f(3) = 27 - 2 <=>
f(3) = 25
Find the Values of X and Y in the diagram. PLZ HELP
Answers
Answer: x is 47, y is 75
Step-by-step explanation:
The results of a recent survey showed that the average cost to rent a car for a week is $276. If the standard deviation is $60,
find the Z-score for a weekly rental of $423.00?
a. 2.45
B. 4.6
C. 7.05
D. -1.88
Answers
I divided 276/60 and got b
The Z-score for a weekly rental is 2.45 which is the correct answer would be option (B).
What is Z -score?A Z-score is defined as the fractional representation of data point to the mean using standard deviations.
Given the average cost to rent a car for a week is $276
And the standard deviation is $60
To determine the Z-score for a weekly rental of $423.00
Here,
ц = 276
σ = 60
X = 423
⇒ z-score = (X-ц )/σ
Substitute the values,
⇒ z-score = (423 - 276)/60
⇒ z-score = 147/60
⇒ z-score = 2.45
Hence, the z-score for a weekly rental is 2.45.
Learn more about the z-score here:
brainly.com/question/13793746
#SPJ2
HEEELPPPPP PPLS The second side of a triangle is 8 inches less than the first side. The third side is 14 inches more than the first side. The perimeter of the triangle is 78 inches. Find each side of the triangle.
Answers
Answer: ):
Step-by-step explanation:
Answer:
second side is 16
third side is 38
Step-by-step explanation:
x + (x - 8) + (x + 14) = 78
3x + 6 = 78
3x = 78 - 6
3 x = 72
x = 72/3
x = 24
24 + (24 - 8) + (24 + 14) = 78
24 + 16 + 38 = 78
Select ALL the terms that are like 5b2
.
Question 4 options:
12b2
5
5b
10b2
Answers
Answer:
12b2 10b2
Step-by-step explanation:
Meg's Bakery sells the following items.
• one cinnamon roll for $2.50 or four for $10.00
• one pie for $12.50 or two pies for $22.00
• a dozen brownies for $9.00
A. Determine if there is a proportional relationship between cinnamon rolls and the cost of cinnamon rolls. If there is determine the unit rate.
Answers
Answer:
it is $2.50 multiplied by 4
Step-by-step explanation:
this is because for every 1 cinnamon roll it is $2.50 and if you multiply that by 4 you get $10, or how much it costs for 1 roll
WILL MARK BRAINLIEST!!
Answers
Answer:
only p(x)
Step-by-step explanation:
The others have a restricter domain
Conic section
For questions 10 - 11, solve each system. In your work, identify the shape of the graph of each
equation. (5 points each)
(7y2 + x2 = 64
10.
x+y = 4
Answers
Answer:
Step-by-step explanation:
7[tex]y^{2}[/tex]+[tex]x^{2}[/tex]=64x+y=4First, we isolate the variable on the second equation so that we can have an x solution to plug in:
x=-y+4Now, we plug this in to the first equation:
[tex]7(-y+4)^{2} +(-y+4)^{2} =64[/tex]
We can now put the 7 into the parentheses and then square root the equation:
[tex]\sqrt{(-7y+28)^{2}} +\sqrt{(-y+4)^{2}} =\sqrt{64}\\-7y+28-y+4=8\\-8y=40\\y=-40[/tex]
We then plug this in to the original equation to find x
[tex]x+-40=4\\x=-36[/tex]
This means y=-40 and x=-36. I believe that's what you were asking. Let me know if it is something else
9 correct : 15 questions = 45 correct: q questions
please help me
Answers
Answer: it should be 75
Step-by-step explanation:
9 times 5 is 45 so 15 times 5 should be 75
1/2^-2 2^-3 -4^5
What is the value of
for x = 2 and y=-4?
Answers
value of x=2 is-8 and y=-4 is -1024
Please answer ASAP I have 15 min help
Answers
this means she added before multiplying or dividing
Answer:
32
Step-by-step explanation:
she was supposed to divide and multiply first and then add those answers
6+6+20=32
-19 + 4k - 15k - k -9
Answers
Answer:
Let's simplify step-by-step.
−19+4k−15k−k−9
=−19+4k+−15k+−k+−9
Combine Like Terms:
=−19+4k+−15k+−k+−9
=(4k+−15k+−k)+(−19+−9)
=−12k+−28
Answer:
=−12k−28
Step-by-step explanation:
find the factorization of the polynomial below 49x2+70+25
Answers
Answer:
(7x + 5) (7x+5)
Step-by-step explanation:
Hope this helps
x
y
-3
6
-1
4.
0
3
1
3
3
4
3
6
Answers
Jace and his children went into a bakery and he bought $9 worth of cookies and brownies. Each cookie costs $0.75 and each brownie costs $3. He bought twice as many cookies as brownies. Graphically solve a system of equations in order to determine the number of cookies, x,x, and the number of brownies, y,y, that Jace bought.
Answers
Answer:
(9, 18) (3, 6) Plz correct me if wrong
Step-by-step explanation:
Jace bought 4 cookies and 2 brownies from the bakery.
Let x represent the number of cookies and y represent the number of brownies.
Since he bought $9 worth of cookies and brownies. Each cookie costs $0.75 and each brownie costs $3. hence:
0.75x + 3y = 9 (1)
Also, he bought twice as many cookies as brownies, hence:
x = 2y
x - 2y = 0 (2)
Solving equation 1 and 2 simultaneously gives x = 4, y = 2
Hence Jace bought 4 cookies and 2 brownies from the bakery.
Find out more at: https://brainly.com/question/16763389
What is the answer for 2m + 3m + 8 + 6
Answers
Answer:
5m+14
Step-by-step explanation:
a) Find the critical numbers of
f
f
(if any).
b) Find the open interval(s) on which the function is increasing/decreasing
c) Apply the First Derivative Test to identify all relative extrema