Answer:
1/4
Step-by-step explanation:
Probability is the number of desirable outcomes divided by the number of total outcomes. We can tell these events depend on each other because the batteries are picked without replacement. To find the probability of two dependent events, event that depend on each other, we can find the probability of the first event and the probability of the second event happens if the first is given and multiply them. In this case, the first event is selecting a used battery and the second is picking a new battery.
The total number of outcomes the basically the total amount of batteries that can be chosen. This is 15 + 10 or 25 outcomes. 10 of these batteries are used, and that would correspond to the amount of desirable outcomes because we want to pick a used one. From this, we can say the probability of picking a used battery is 10/25 which simplifies to 2/5.
To find the probability of picking a new battery after picking a used one, we can start by stating the amounts of each battery before the second draw. Since we already picked a used battery, our new totals will be 24 batteries, which 9 are used and 15 are new. Now, we can do the same thing a before, the number of desirable outcomes over the total. We get 15/24 which simplifies to 5/8.
To find the total probability, we multiply the two getting: 2/5 * 5/8 = 1/4.
Which function has the same y-intercept as the function
Y=2/3x-3?
Answer: 6x - 7y = 21
Step-by-step explanation:
sorry if its wrong
Jenny is taking a vacation from Florida. She travels 70 kilometers per hour for 2 hours, and 63 kilometers per hour for 5 hours. Over the 7 hours time period what was Jenny's average speed?
Answer: 65 kmh
Step-by-step explanation:
70 kmh for 2 hours = 140 km.
63 kmh for 5 hours = 315 km
140 + 315 = 455/7 total hours = 65 kmh
[tex]\frac{1+siny}{cos y}+\frac{cos y}{1+sin y}[/tex]
[tex]\frac{cot x}{tanx+cot x}=cos^2x[/tex]
csc^2θ·tan^2θ - 1 = tan^2θ
Step-by-step explanation:
a)
[tex] \frac{1 + \sin y}{ \cos y} + \frac{ \cos y}{1 + \sin y} = \frac{1 + 2 \sin y + \sin^{2} y + \cos ^{2} y}{ \cos y(1 + \sin y)} [/tex]
[tex] = \frac{2 + 2 \sin y}{ \cos y (1+ \sin y)} = \frac{2}{ \cos y} = 2 \sec y[/tex]
b)
[tex] \frac{ \cot x}{ \tan x + \cot x} = \frac{ \cos x}{ \sin x( \frac{ \sin x}{ \cos x} + \frac{ \cos x}{ \sin x} )} [/tex]
[tex] = \frac{ \cos x}{ \frac{ \sin^{2} }{ \cos x} + \cos x } = \frac{ \cos x}{ \frac{ \sin ^{2} x + \cos^{2} x}{ \cos x} } [/tex]
[tex] = \cos ^{2} x[/tex]
c) Note that cscx = 1/sinx so
[tex] \csc^{2} \theta \tan^{2} \theta - 1= \frac{1}{ \cos^{2} \theta } - 1[/tex]
[tex] = \frac{1 - \cos^{2} \theta }{ \cos \theta} = \frac{ \sin^{2} \theta}{ \cos ^{2} \theta } = \tan^{2} \theta[/tex]
What is the order of rotational symmetry of this shape .for brainlest
Answer:
4.
Step-by-step explanation:
The orientation of the shape is the same 4 times during 360 degree turn.
Answer:
4
Step-by-step explanation:
Rotational symmetry, also known as radial symmetry in biology, is the property a shape has when it looks the same after some rotation by a partial turn. An object's degree of rotational symmetry is the number of distinct orientations in which it looks exactly the same for each rotation.
What is the quotient?
x-3) 4x2+3x+2
+2
O 4X2 + 15 +
47
X-3
43
0 4x + 15 +
X-3
O 4x2 + 15 +
43
X-3
0 4x + 15 +
47
X-3
Answer:
13
Step-by-step explanation:
the answer is 13
the answer is 13
the answer is 13
the answer is 13
the answer is 13
The quotient obtained by dividing 4x²+3x+2 will be 4x + 15 hence option (A) will be correct.
What is the equation?An equation can be defined in numerous ways. Algebraically speaking, an equation is a statement that shows the equality of two mathematical expressions.
A formula known as an equation uses the same sign to denote the equality of two expressions.
In another word, the equation must be constrained with some constraint.
Given that
dividend = 4x²+3x+2
divider = x -3
⇒ (x - 3) / 4x²+3x+2
⇒ (x - 3) / 4x²+3x+2
→ First it will goes for 4x time so 4x × (x - 3) = 4x² - 12x
Quotient = 4x
so (4x²+3x+2) - ( 4x² - 12x ) = 15x + 2
(x - 3) / 4x²+3x+2
→ Second time it goes for 15 so 15 × (x - 3) = 15x -45
Quotient = 15
so (15x + 2 ) - ( 15x -45 ) = 47
Hence, 47 will be the remainder and the quotient will be (4x + 15).
For more about the equation, here:
brainly.com/question/10413253
#SPJ2
Under an insurance policy, a maximum of five claims may be filed per year by a policyholder. Let Pn be the probability that a policyholder files n claims during a given year, where n 0,1,2,3,4,5. An actuary makes the following observations:
i) Pn≥ 2pn+1 for n= 0, 1,2, 3,4
ii) The difference between pn and pn+1 is the same for n 0,1,2, 3,4
iii) Exactly 40% of policyholders file fewer than two claims during a given year Calculate the probability that a random policyholder will file more than three claims during a given year.
A) 0.14
B) 0.16
c) 0.27
D) 0.29
E) 0.33
I need help finding the value of X.
Answer:
x=25
Step-by-step explanation:
43=2x-7 (since the midpoint separate a line into two equal halves)
43+7=2x
50/2=x
25=x
Answer:
x=25
Step-by-step explanation:
Since M is the midpoint, you can set your formula up as
43 = 2x-7
43+7=2x
50/2=x
25=x
PLEASE HELP!
WILL MARK BRAINLIEST!
Find the measure of the indicated angle to the nearest degree.
Please provide an explanation, I’m trying to learn.
Answer:
B =53.15010235
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp / adj
tan B = 20 /15
Take the inverse tan of each side
tan ^ -1 ( tan B) = tan ^-1( 20/15)
B =53.15010235
Answer and I will give you brainiliest
Answer:
x = 60 degree
Step-by-step explanation:
90 + 90 + 2x - 10 + 2x + 2x + 10 = 540 degree (sum of 5 interior angles)
180 + 6x = 540
6x = 540 - 180
x = 360/6
x = 60 degree
What’s the slope and equation
Answer:
slope = -5 equation= y=-5x+100
Step-by-step explanation:
pick the x and y intercepts as your points to find the gradient that is
(20,0) and (0,100)
slope =∆y/∆x
=100/-20
= -5
take point(20,0) and (x,y) to find equation using the slope
equation becomes y= -5x+100
Maria has 24 dollars. If cokes are 3 dollars and
hotdogs are 4 dollars, which inequality represents the
possibilities of how she can spend the 24 dollars:
Answer:
do 24 divide 3
then 24-4
have maria debate if she wants large quantities of hot dogs or cokes
PLS HELP ASAP!
Shown below is a cylinder. Calculate the volume using 3.14 for π
Answer:
V = 678.24 cm^3
Step-by-step explanation:
Formula for volume of a cylinder:
the radius is half of the diameter (12/2 = 6)
[tex]V = \pi r^{2} h\\V = \pi 6^{2} 6\\\\V = 678.24[/tex] cm^3
Answer:
678.24 cm^3
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2 h where r is the radius and h is the height
We know the diameter
r =d/2 = 12/2 = 6
V = 3.14 * 6^2 * 6
678.24 cm^3
kelly bought two dozen apples she found 1/3 of them were rotten how manu apples were rotten
the answer is 8 apples were rotten
Answer:
8 apples are rotten.
Step-by-step explanation:
2*12=24 . There are 12 apples in a dozen.
24/3=8
Will Mark Brainlest Help pls
Answer:
13
HOPE THIS HELPS YOU......
I need to solve for X Y and Z please and thank you
9514 1404 393
Answer:
x = 5y = 30z = 8Step-by-step explanation:
The rhombus has several relevant properties.
The sides are all the same lengthDiagonals are perpendicular bisectors of each otherDiagonals divide the rhombus into congruent trianglesThe last of these relations can be used to find x:
7x° = 35°
x = 35°/7° = 5
The second of the relations can be used to find y:
3y° = 90°
y = 90°/3° = 30
The first of the relations can be used to find z:
10z -8 = 5z +32
5z = 40 . . . . . . . . . add 8-5z
z = 40/5 = 8
Here is the problem
Answer:
5 =x
Step-by-step explanation:
The top and the bottom are the same length
17 = 3x+2
Subtract 2 from each side
17-2 = 3x+2-2
15 =3x
Divide by 3
15/3 = 3x/3
5 =x
Answer:
x = 5
Step-by-step explanation:
3x + 2 = 17
3x + 2 - 2 = 17 - 2
3x = 15
3x ÷ 3 = 15 ÷ 3
x = 5
A set of eight cards contains one joker. Player A chooses 5 cards at random,
Player B takes the remaining three cards. What is the probability that Player A has the joker?
Player A discards 4 cards and Player B discards two cards. It is known that the joker has not been discarded, what is the probability that Player A has the joker?
Answer:
56%
Step-by-step explanation:
because of the 56% it had to be true to be in the question at all.
Consider the following equation. -2x + 6 =[-2/3] + 5
Answer:
that's my answer
hope it helps
a triangular prism is 37 millimeters long and has a triangular face with a base of 42 millimeters and a height of 28 millimeters.The other two sides of the triangle are each 35 millimeters.What is the surface area of the triangular prism?
No links pls
Answer: 4145.43
Have a great day! ;)
What are 3 attributes of a Square based pyramid
Answer:
It has 5 Faces.
The 4 Side Faces are Triangles.
The Base is a Square.
It has 5 Vertices (corner points)
It has 8 Edges.
Step-by-step explanation:
btw you can choose 3
what is the largest six-digit base five number? How do you know?
Answer:
999999.9>repeating
Step-by-step explanation:
.1 more and it will be 7 digits and not 6 Hope this helps :D
9514 1404 393
Answer:
444444₅ = 15624₁₀
Step-by-step explanation:
It will be 1 less than the smallest 7-digit base-5 number. That number is 5^6 = 15625, so the largest 6-digit base 5 number is 15624 in decimal. In base 5, it is 6 of the largest base-5 digits:
444444₅ = 15624₁₀
__
The digits of the number cannot be any larger than the largest base-5 digit. The base-5 digits are 0 to 4, so the largest is 4.
Insurance companies need to maintain a certain amount in reserved funds in order to pay anticipated claims. The average monthly claim amount for the last 60 months for company A was $7,500,000 and the (sample) standard deviation was $1,200,000.
(a) Find a 95% upper confidence bound on the average monthly claim amount.
(b) The regulations on the reserves will be strengthened in the near future. According to the new regulations, insurance companies that do not have sufficient amount in reserve will be subject to a significant penalty. Company A wants to adjust the target reserve amount accordingly, by computing a new upper bound on the average monthly claim amount. Should the company recalculate an upper confidence bound with a higher or a lower level of confidence? Briefly explain why. Then compute a 99.95% upper confidence bound on the average monthly claim amount.
Answer:
a ) Upper bound of CI is 7803483.87
b) The new upper bound is 8039767.74
Step-by-step explanation:
From sample data:
sample size n = 60
sample mean x = 7500000
Sample standard deviation s = 1200000
a) Confidence Interval 95 % then significance level α = 5 % o α = 0.05
α/2 = 0.025 z(c) from z-table is z(c) = 1.96
CI 95 % = ( x ± z(c) * s/√n
CI 95 % = ( 7500000 ± 1.96 * 1200000/√60
CI 95 % = ( 7500000 ± 303483.87 )
CI 95 % = ( 7196516.13 ; 7803483.87)
Then upper bound of CI is 7803483.87
b) The company has to decrease the significance level equivalent to widen the confidence interval.
If CI now is 99.95 % significance level is α = 0.0005 and
α/2 = 0.00025 z(c) for that α/2 is from z-table z(c) ≈ 3.486
CI 99.95 % = ( x ± z(c)*s/√n
CI 99.95 % = 7500000 ± 3.486*1200000/ √60
CI 99.95 % = (7500000 ±539767.74)
CI 99.95 % = ( 6960232.26 ; 8039767.74)
The new upper bound is 8039767.74
Evaluate: (g + ƒ)(2)
From the graph,
g(2) = 4 ( from the coordinate (2,4))
[ The green line represent the function g(x)]
f(2)= 0
[ The red line represent the function f(x)]
(g + ƒ)(2) = g(2)+f(2) = 4+0 = 4
OPTION A is the correct answer
List all the factors of 9. The factors of 9, from least to greatest, are and
Answer:
1 9 3
Step-by-step explanation:
i think only this much
Answer:
1,3 and 9
As Nine is divisible by 1,3 and 9
Help!!!
I will mark you
Answer:
832.6lbs
Step-by-step explanation:
A rectangular auditorium seats 1564 people. The number of seats in each row exceeds the number of rows by 12. Find the number of seats in each row
Answer:
# of rows: 34
# of seats in each row: 46
Step-by-step explanation:
r - # of rows
s - # of seats in each row
r * s = 1564
s = r + 12
(34) * (46) = 1564
(46) = (34) + 12
Hope this helps!
The perimeter of the triangle below is 80 units. Find the length of side PR
Answer:
32
Step-by-step explanation:
The perimeter is equal to sum of side lengths
4x + z + 3 + 5z - 3 = 80 add like terms
10z = 80 divide both sides by 10
z = 8 PR is 4z so 8*4 = 32
Can someone help me with 8,9 ??!!
Answer:
15 / 2437/52Step-by-step explanation:
8 .) Probability of students has no pets in senior = No. of outcomes favourable / Total no.of outcome
= 15 / 24
9.) Probability of students has pets in junior = No.of outcomes favourable / Total no. of outcomes
= 37/52
Which one hurry
A.50
B.80
C.90
D.100
Answer:
I think its
im not sure
Step-by-step explanation:
If four pounds of potatoes cost $6.00, how much would 10 pounds of potatoes cost
Answer:
I think is 15 dollars.
Step-by-step explanation:
each pound cost 1.5 multiply it by 10
Answer:
$15
Step-by-step explanation:
4 pounds are $6
10pounds are $?
1 pound would be $1.5, because 6/4 = 3/2= 1.5
If one pound is 1.5 dollars, 10 pounds would be 10*1.5=$15
