Answer:
Sardar has a 29% chance of inheriting at least some money.
Step-by-step explanation:
Since Sardar has two old rich aunts, Betty and Gwenda, assuming they will both die before he does, for each aunt, Sardar thinks the chance that she will leave him some money if she dies first is 1/3, but Sardar thinks that if Gwenda dies first, the chance that Betty will leave him money is only 1/4, and if Betty dies first, the chance Gwenda will leave him money is also 1/4, to determine what is the probability that he will inherit at least some money by the time they both die the following calculation must be performed:
(1/3 + 1/4) / 2 = X
(0.333 + 0.25) / 2 = X
0.58333 / 2 = X
0.29 = X
Therefore, Sardar has a 29% chance of inheriting at least some money.
Based on the various probabilities that Sardar's aunts will leave him money when they die, the probability that he will at least inherit some money is 0.4375.
What is the probability that he will inherit at least some money?This can be found by the formula:
= Probability that Gwenda leaves money + Probability that Betty leaves money - Probability that both leave money
Solving gives:
= 1/4 + 1/4 - (1 / 4 x 1 / 4 )
= 1/2 - 1/16
= 0.4375
Find out more on probabilities at https://brainly.com/question/24756209.
6x+2 = 5x+18 PLS QUICKKKK
Answer:
16
Step-by-step explanation:
Equation : 6x+2=5x+18
Like Terms : x + 2 = 18
Like Terms Again : x = 16
Answer:
6x+2=5x+18
6x-5x=18-2
X=16
Step-by-step explanation:
First you need to group numbers of like terms in one side. Then when you take the other number to the other side of equal sign changes it's form eg +6 change to - 6
Can someone help me with this please
What is the answer please help no links no links
An aquarium 4 m long, 1 m wide, and 1 m deep is full of water. Find the work needed to pump half of the water out of the aquarium. (Use 9.8 m/s2 for g and the fact that the density of water is 1000 kg/m3). Show how to approximate the required work by a Riemann sum.
Express the work as an integral.
Evaluate the integral.
Answer:
Workdone = 4900joules
Step-by-step explanation:
Work-done = force x distance
Force = mass x acceleration
If we suppose that the aquarium is at height 0 at the top and height 1 at the bottom (since it's 1m deep), then we need to lift the slide at height x by x metres.
Mass = Density x Volume, therefore force needed to lift the slice is given is
F = density*volume*∆x*acceleration
Since we the mass changes as we take out water then there will be a change in height, for this reason we have ∆x.
Acceleration is due to gravity, therefore g=9.8m/s²
Density = 1000kg/m³
Volume = 4*1*1 = 4m³
F = 1000*4*∆x*9.8 = 39200∆x
Since our distance from the top of the aquarium to the bottom is x metres, then
Work-done = 39200x∆x
To find the total workdone, we find the integral of 39200xdx and the limit will be from 0 to 0.5 since we are to pump halfway of the aquarium. Integrating that we have
19600*x² limit from 0 to 0.5
19600(0.5² – 0²) = 19600(0.25 – 0) = 19600(0.25) = 4900joules
what is 5 cm in mm. NEED HELP ASAP !!!!!!!
What is the length of de
Answer:
B. 37 units
Step-by-step explanation:
DE = 4x + 1
AB = 11x - 25
DE is a midsegment of the ∆ABC
Therefore:
DE = ½(AB) => Triangle Midsegment Theorem
4x + 1 = ½(11x - 25)
2(4x + 1) = 11x - 25
8x + 2 = 11x - 25
Collect like terms
8x - 11x = -2 - 25
-3x = -27
-3x/-3 = -27/-3
x = 9
✔️DE = 4x + 1
Plug in the value of x
DE = 4(9) + 1 = 36 + 1
DE = 37
I WILL GIVE BRAINILYEST!!!This is a graded discussion:
Modules
Mathematical Modeling Discussion
Syllabus
Grades
99 Co
5.272 a
People
0.31 MeV B 99.80%
Office 365
1.48 Mev B-
1.1732 MeV Y
0365 Email
1.3325 MeV Y
The rate of decay of a radioactive substance depends upon the
amount present initially. The mass y (mg) of the radioactive substance
cobalt-60 present in a sample at time < (years) is represented by the
-0.13151
exponential equation y = 50 e
Answer the following questions in complete sentences.
1. How does the exponential equation above compare to the equation
for simple interest that is compounded continuously? Explain the
similarities. What is the initial amount of cobalt-60 in the sample?
2. How much cobalt-60 is left after 8.4 years? Show your work
3. What would be the y-intercept of the graph? What does it
represent?
4. After how many years will the amount of cobalt-60 left be 6.25
mg? Explain what happens to the cobalt-60 after 50 years?
5. Discuss some real-world" examples and uses of cobalt-60
Answer:1.40
2.20
3.100
4.39
5.7
7
Step-by-step explanation:
Determine the value of a.
Repeated-measures and matched-subjects experiments
Repeated measures experiments measure the same set of research participants two or more times, while matched-subjects experiments study participants who are matched on one or more characteristics. Which of the following are true for both a repeated-measures experiment and a matched-subjects experiment when used to compare two treatment conditions?
A. If the researcher has n number of participants to use in the experiment, then the degrees of freedom will be the same in a repeated-measures experiment or in a matched-subjects experiment.
B. The researcher must compute a pooled variance to compute a t statistic.
C. The researcher must compute an estimated standard error for the mean difference score to compute a t statistic.
D. Participants in both types of experiments are all measured the same number of times.
A matched-subjects experiment produced at statistic with a df of 13. How many subjects participated in this study?
a. 13.
b. 28.
c. 26.
d. 14.
For a repeated-measures experiment comparing two treatment conditions, the t statistic has a df of 17. How many subjects participated in this study?
a. 18.
b. 17.
c. 36.
d. 34.
What is the measure of ZB, in degrees?
Which is the sum of 14t/10t^2 + 5t^2+40t/10t^2
Answer:
7t/5^3 + 5t^2 + 4t^3
Step-by-step explanation:
Help with the calculus problem please
The area of the region is equal to the area under the curve y = cos(x) over the interval 0 ≤ x ≤ π/6, given by the integral
[tex]\displaystyle\int_0^{\frac\pi6}\cos(x)\,\mathrm dx = \sin(x)\bigg|_0^{\frac\pi6}=\sin\left(\frac\pi6\right)-\sin(0)=\boxed{\frac12}[/tex]
which follows from
• the fact that d/dx [sin(x)] = cos(x)
• the fundamental theorem of calculus
Please help!!!!!!!!!!!!!!!!!!!
Answer:
there are infinitely many solutions
Step-by-step explanation:
1/2(b + 14) is the same as (b + 14) / 2
there are 240 students who attend Elmwood school. Two thirds of the students have brown hair. how many students have brown hair? how many students do not have brown hair?
Answer:
160 has brown hair while
80 do not have brown hair
Step-by-step explanation:
two third means 2/3
therefore to find how many student have brown hair,
we say- 2/3 x 240 = 160
since we know that 160 students have brown hair, we just subtract it from 240
i.e 240 - 160 = 80
Fill in the number to find the sum . 2/10 + /100= 50/100 a. 30 b. 10 c. 28 d. 52
Answer:
2/10 + 30/100 = 50/100
Step-by-step explanation:
First, you want to multiply 2/10 by 10, to get the same common denominator in both numbers, you would get 20/100. Then, its pretty simple from there, you just add the number that gets you to 50, which is 30, 20 + 30 =50. I Hope This Helps :)
The required missing number is 30. So, the correct answer is (a) 30.
Arithmetic is a branch of mathematics that deals with the study of numbers, their properties, and their operations. It involves the basic operations of addition, subtraction, multiplication, and division.
Here,
To find the missing number, we can use the fact that 50/100 is equivalent to 1/2.
So, we need to find a number that, when added to 2/10, gives 1/2 as the sum.
We can write this as an equation:
2/10 + x/100 = 1/2
Multiplying both sides by 100 to eliminate the denominator, we get:
20 + x = 50
Subtracting 20 from both sides, we get:
x = 30
Therefore, the missing number is 30. So, the correct answer is (a) 30.
Learn more about arithmetic here:
https://brainly.com/question/11424589
#SPJ2
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it's not possible
I think -7 is the right answer but it's not possible actually
Answer:
c. -7
Step-by-step explanation:
(x+57) + (63+67) = 180
(x+57) + 130 = 180
x + 187 = 180
x = 180-187
x = -7
why did I make it equal to 180?
all the angles in a triangle always equal 180 :)
Need help with this problem
Which of these is a safe practice when working with horses?
A . use a firm, loud voice
B . stay in the horse’s blind spot use quick-release knots for easy escape
C . if unattended, leave the horse tied up
Answer:
i think the awnser is c . if unattended, leave the horse tire up
I’ll give you brain list if you solve it
Answer:
1000$ is the correct ans I think ?
If sin(38°) and cos(52°) does that add up to 90°?
Answer:
38 plus 52 is in fact 90, but Sin and Cos will be different.
Step-by-step explanation:
Honestly I haven't learned Sin or Cos
1) 3n² + 5n +7
A) quadratic monomial
B) cubic binomial
C) constant trinomial
D) quadratic trinomial
Answer:
D
Step-by-step explanation:
it is a quadratic trinomial
A rectangular picture is twice as long as it is wide. If the
area of the picture is 288 in^2, what are its dimensions?
The dimensions of the picture are_____ in long by_____ in wide.
Answer:
24 in long by 12 in wide.
Step-by-step explanation:
l=2w
288=(2w)×w
288=2w^2
144=w^2
12=w
width is 12 inches. Plug that in to find length...
l=2×12
l=24
You deposit $4,400 into a bank account with an annual simple interest rate of 2.1%. a. How much interest does the account earn in 15 months? b. What is the balance of the account after 15 months?
Hi I don't know how to explain this in steps but the interest is 15523,2
The balance is 1108,8
I have a question for special product patterns.
It is in the attached image.
find the volume of the sphere radius is 20 meters
The town of Rayburn received 7 more inches of snow than the town of Greenville. Let g represent the amount of snow in Greenville. Enter an algebraic expression to represent the amount of snow in Rayburn. The algebraic expression that can be used is
Answer:
r = g + 7 (let "r" be amount of snow rayburn got)
Step-by-step explanation:
Lets let r = the amount of snow rayburn got.
r = g + 7
A cone has a diameter of 20cm and a height of 12cm, what is the volume of the cone?
Answer:
The cone volume that has a diameter of 20cm and a height of 12cm is 5,026.548246 cm^3 or 5,027 cm^3
Make sure to round your answer to the nearest significant figure that you're asked.
Step-by-step explanation:
The formula for the volume of a cone is (height x π x (diameter / 2)^2)/3, where (diameter / 2) is the radius of the base (d - 2 x r), so another way to write it is (height x π x radius^2) / 3
You have recently signed up for a new job and noticed this policy for retirement savings. Invest $200 and the employer does 70% matching for 35 years at an interest rate of 4.8%.
Find the total amount that the employer contributes each month.
What amount will you have after 35 years?
How much money have you deposited into the account yourself?
How much more money is in the account than what you have deposited?
Answer:
Amount per month contributed by employer $ = 200*0.70 = 140
Total amount employer contributes $ = 140*420 = 58800
Total amount employee contributes $ = 200*420 = 84000
Total amount after 35 years with interest calculated AT 4.8% (Employer + employee + interest) $ = 371024.67
Interest amount for 35 years accumulated $ = 228224.67
Amount deposited by employee $ = 84000
Excess amount in the account over the employee contribution
Including employer contribution $ = 287024.67
Excluding employer contribution $ = 228224.67
Step-by-step explanation:
LOOK AT THE PICTURE FOR STEPS
26,720 inches are equal to _______ miles.
Answer: 0.42171717 miles
Step-by-step explanation:
for inches to mile conversion divide by 63350
so got 0.421717
What is the volume of the figure below, which is composed of two cubes with side lengths of 6 units?
A.
216 cubic units
B.
360 cubic units
C.
432 cubic units
D.
36 cubic units