Answer:
$3.25
Step-by-step explanation:
Given that:
Mean, λ = 1.4
Strike within next minute = $3 won
Strike between one and 2 minutes = $5
Strike more than 2 minutes = $1
Probability that next strike occurs within the next minute :
Using poisson :
P(x < 1) = 1 - e^-(λx) ;
P(x < 1) = 1 - e^-(1.4*1) = 1 - e^-1.4
P(x < 1) = 1 - 0.2465969
P(x < 1) = 0.7534030
Next strike occurs between 1 and 2 minutes :
(1 < x < 2) :
P(x < 2) - P(x < 1)
P(x < 2) = 1 - e^-(λx) ;
P(x < 2) = 1 - e^-(1.4*2) = 1 - e^-2.8
P(x < 2) = 1 - 0.0608100
P(x < 2) = 0.9391899
P(x < 2) - P(x < 1)
0.9391899 - 0.7534030 = 0.1857869
P(striking after 2 minutes)
P(x > 2) = e^-(λx) ;
P(x > 2) = e^-(1.4*2) = e^-2.8
P(x > 2) = 0.0608100
Amount charged :
(0.7534030 * 3) + (0.1857869 * 5) + (0.06081 * 1)
= 3.2499
= $3.25
What is the area of the figure?
15in.
30in
-50in.
The area of the figure is
Answer:
2,250
Step-by-step explanation:
PLZ HELP I GIVE BRAINLIEST!!!
Answer:
800 × ( 3.87÷ 100 ) × 1
= 30.96
(11–6)÷6. Solve this and show your work.
Step-by-step explanation:
5/6 was 0.833333333333333
During a recent drought, a water utility in a certain town sampled 100 residential water bills and found that 75 of the residences had reduced their water consumption over that of the previous year. Find a 95% confidence interval for the proportion of residences that reduced their water consumption. Round the answers to three decimal places.
Answer:
The 95% confidence interval for the proportion of residences that reduced their water consumption is (0.665, 0.835).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
Sampled 100 residential water bills and found that 75 of the residences had reduced their water consumption over that of the previous year.
This means that [tex]n = 100, \pi = \frac{75}{100} = 0.75[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.75 - 1.96\sqrt{\frac{0.75*0.25}{100}} = 0.665[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.75 + 1.96\sqrt{\frac{0.75*0.25}{100}} = 0.835[/tex]
The 95% confidence interval for the proportion of residences that reduced their water consumption is (0.665, 0.835).
A rocket is fired directly upwards with a velocity of 80 ft/sec. The equation for its height, H, as a function of time, t, is
given by the function
H (t) = -1612 + 80+
Find the time at which the rocket reaches its maximum height, and its maximum height.
5
a) O time =
22
sec, max height = 200 ft
b) O time = 80 sec, max height = 100 ft
5
c) O time =
2
sec, max height = 100 ft
d) O time = 5 sec, max height = 200 ft
5
e) Otime = sec, max height = 400 ft
23
Revie
Answer:
(c).
Step-by-step explanation:
h(t) = - 16 t² + 80 t
Coordinates of the vertex are:
t = - [tex]\frac{80}{2(-16)}[/tex] = [tex]\frac{5}{2}[/tex] = 2.5 sec.
h = - 16(2.5)² + 80(2.5) = - 100 + 200 = 100 ft.
Chang knows one side of a triangle is 13 cm. Which set of two sides is possible for the lengths of the other two
sides of this triangle?
•
5 cm and 8 cm
•
D cm and 7 cm
O
7 cm and 2 cm
•
8 cm and 9 cm
Hurry
Answer:
8 and 9
Step-by-step explanation:
I can't tell what the second option is, though but I think 8 and 9 should be a valid answer
lmk if you want me to explain
Dylan records whether people prefer to drink milk, tea, coffee, or smoothie in the morning. He
separates the responses by which of three eastern United States regions they live in the Northeast,
the Mid-Atlantic, or the South. What is the conditional frequency of people from the Mid-Atlantic
who prefer smoothie, relative to the total number of respondents? Round to the nearest hundredth
if necessary
-87 8g = 56
I need help please
G = 8
-8 + 8g = 56
Add 8 to both sides
8g = 64
Divide by 8
g = 8
What is the area of this rectangle ?
Answer:
1x
Step-by-step explanation:
Area is length times width. Because there isnt a value for x, the area is just 1x. Let me know in the comments if it was right!
x:y=5:3 and x+y=56 work ouy the value of x and y
Answer:
x=35, y=21
Step-by-step explanation:
A way to rewrite the first equation is [tex]\frac{x}{y} =\frac{5}{3}[/tex]
after cross-multiplying, we get 3x=5y.
If we solve for one variable, we can substitute it into the other equation.
Let's solve for x.
3x=5y
x=(5/3)y
Now, we can substitute x=(5/3)y in the equation x+y=56.
(5/3)y+y=56
(8/3)y=56
y=21
Going back to x+y=56, we can now plug back in y, knowing that it is 21.
x+21=56
x=35.
Jina is pumping water into a tank at a rate of 15 liters per minute. Since she started pumping water, 13 liters has splashed out of the tank. Her goal is given by
15x-13 < 77, where x is the number of minutes she pumps water into the tank.
First, solve the given inequality and graph the solution on the number line below.
Then, choose and complete the statement that best describes the solution
Step-by-step explanation:
subtract-13 from -13 get zero
then, subtract 13 from 77 =64
then do divide 15 from 15
then divide 15 from 64 = 4.26 repeat
how do you solve an equation that looks like this?
Answer:
x = 11
Step-by-step explanation:
5x - 8 + 43 = 90
5x = 55
x = 11
Step-by-step explanation:
5x - 8° + 43° = 90° (right Angle)
5x + 35° = 90°
5x = 90° - 35°
5x = 55°
x = 55°/5
x = 11°
5x - 8 = 5 × 11 - 8 = 47°
The first angle is 47° and second one is 43°.
Can someone provide some assistance.
Answer:
m<E=120°
m<T=60°
Step-by-step explanation:
10m+4m+12=180
14m=168
m=12
m<E=10m=10(12)=120
m<T=4m+12=4(12)+12=48+12=60
Answer:
Solution given:
10m+4m+12=180°[sum of opposite angle of cyclic quadrilateral is supplementary]
14m=180-12
m=168/14=12
m<E=10×12=120°
m<T=4×12+12=60°
round 38.68 to the nearest hundred
What's the name of angle C thanks for the help :)
Answer:
Reflex angle
Step-by-step explanation:
Properties of reflex angles:
1). Any angle measuring between 180° and 360°.
2). Other side of the reflex angle is either acute or obtuse angle.
By these properties,
Since, angle C measures more than 180° but less than 360° and opposite angle is an acute angle.
By these properties angle C and angle D are the reflex angles.
Which retirement plan is managed by an insurance company?
a Fixed Annuity
b Pension Plan
c Roth IRA
d Traditional IRA
Answer:
Fixed Annuity
Step-by-step explanation:
Fixed annuity is the most common annuity
During the accumulation phase, the individual makes a lump-sum payment or multiple payments over time to the insurance company
The insurance company invests the money as it sees fit, along with the money of other participants, forming a pool of invested funds
which of the following box plot has the greatest median F. G. H. J.
Step-by-step explanation:
hmph................
Please help me, I will mark as brainliest.
What's greater? 18% or 11/55?
Answer:
11/55
Step-by-step explanation:
11/55 = 20%
18% = 18%
Answer:
11/55 is greater
Step-by-step explanation:
18% is less because divided by 100 it will be 0.18 and if you multiply 11/55 the answer is 0.20
What is the greatest
common factor of 4 and 34?
Answer:
2
Step-by-step explanation:
The Greatest Common Factor (GCF) is the number that both numbers share. In this case, 4 and 34 can both be divided by 2 evenly to produce an answer. However, no other number can be used to divide both numbers, making 2 the final answer.
One acre is equivalent to 43,560 square feet. If an acre is also equivalent to 4,840 square yards, how many square feet are equal to one square yard? Add an explanation and a step by step answer.
Help please thank you so much! (Math has never really been my strongest subject)
Side Note: I'd rather not have the answer in a file thank you very much.
Answer:
9 square feet
Step-by-step explanation:
1 acre = 43,560 ft²
1 acre = 4,840 yd²
Since both values are equal to 1 acre, we can set them equal to each other via the property of equality:
43,560 ft² = 4,840 yd²
The question is asking us to find the ft²/yd² ratio, which is found by dividing.
43,560 ft² / 4,840 yd² = 9 ft²/yd² (or 9 square feet is equal to one square yard.)
(If it helps to grasp the concept, we can add a variable representing this ratio to solve for.)
43,560 = 4,840x
43,560 / 4,840 = 9
FIND THE AREA OF THE SHAPE
Please please please help
Answer:
the answer is more than 6 rides
Answer:
The answer is more than 6 rides.
Step-by-step explanation:
Plan A has the same cost of $15 no matter the number of rides. It stays the same. However, Plan B has an increasing price depending on how many rides you ride. Once you reach 6 rides, which is the exact same price for both of the plans, Plan A will stay at $15 for more rides, while Plan B will continue to increase in price for more rides.
Necesito ayuda con está pregunta por favor. :)
La respuesta es la segunda
B.
Write a sentence containing a gerund which functions as the subject of the verb.
Answer:
Swimming can improve your health.
Step-by-step explanation:
Gerunds are nouns which derive from verbs and take the -ing form. In the sentence, the noun swimming functions as the subject of the verb can.
Gerunds are usually used as subjects of sentences, after certain verbs (such as enjoy and look forward to) and after prepositions.
Owner investment: $8,000
Revenue: $15,000
Equity: $21,000
Expenses: $3,000
Based on this data, the net profit or loss on the income statement should be:
Answer: $12,000
Step-by-step explanation:
The Income statement shows the Net Profit or Loss for a company in a given period. That Net income is calculated by subtracting expenses from the revenue for the period:
= Revenue - Expenses
= 15,000 - 3,000
= $12,000
norma had 3/8 birthday cake left over from her party she ate 3/4 of the cake for lunch. how much did she eat at lunch?
Answer:
1/12
Step-by-step explanation:
Fraction is the representation of the parts of a whole number. The amount of cake ate by Norma in the lunch is 9/32 parts.
Given-Total cake left over by the Norma after the party is 3/8.
Total cake she ate for the lunch is 3/4.
The value of the whole cake is given in the fraction parts. To solve this the fraction should be understood.
What is fraction?Fraction is the representation of the parts of a whole number.
As the one whole of cake was there earlier. The 3/8 part of the cake is,
[tex]=\dfrac{3}{8}[/tex]
As she ate the 3/4 part of the left over cake in the lunch. Suppose the part of cake she ate is x. Therefore the part of cake she ate at lunch is,
[tex]x=\dfrac{3}{8} \times\dfrac{3}{4}[/tex]
[tex]x=\dfrac{9}{32}[/tex]
Hence, the amount of cake ate by Norma in the lunch is 9/32 parts.
Learn more about the fraction here;
https://brainly.com/question/1301963
Can someone help me? I’ll reward brainalist + points
Answer:
B, -25
Step-by-step explanation:
3-4 = -1
-1(3 + 3^2 + 13) = -1(25), the answer is -25
Answer:
-25
Step-by-step explanation:
-25 is the answer...........
2
10 m
5 m
what is the hypotenuse
Answer:
i don't know the answer sorry
Step-by-step explanation:
what's the opposite of -3.9
positive 3.9
negative is the opposite of positive
positive it the opposite of negative