Answer:
Decrease in temperature = 4.6714°C
Step-by-step explanation:
We know that the formula fro deflection is:
δ = PL/AE + LαΔT
As deflection is equal to zero in this case, the formula becomes
ΔT = -P/αAE -------------- equation (1)
Now,
we see that only vertical force acting is weight
W = mg = 100*9.81
W = 981N = ∑
where 1N = 1kgm/s²
Now,
for horizontal forces
As we know that, Sum of all horizontal forces = 0
P - μN = 0
P - μW = 0
P = μW
P = 0.6 * 981
P = 588.8N or 589N
Now we need to calculate the area
area = width * thickness = 20 * 3
area = 60 mm²
Now by substituting all these values in equation 1, wee get
ΔT = -P/αAE = - 588.6/(20*10⁻⁶*60*10⁻⁶*105*10⁹)
ΔT = - 4.6714°C (negative sign indicates decrease)
Time taken by Ria to paint a room = 4 hours
Time taken by Destiny to paint a room = 6 hours
If they work together, they complete 1 job. So,

The LCD of 4 and 6 is 12




Hence, both of them can paint the room in
hours or 2.4 hours.
Let x = the # jujubes Sam had
he gave x/2 to jen
jen eats half of it = 1/2(x/2) = x/4
the remaining x/4 he gave to kyle
kyle kept 8 and gave 10 to Kim
so
x/4 - 8 = 10
x/4 = 18
x =72
thus jen had 36 jujubes
jen eat 18 jujubes
Answer:
There is a 38.97% probability that this student earned an A on the midterm.
Step-by-step explanation:
The first step is that we have to find the percentage of students who got an A on the final exam.
Suppose 13% students earned an A on the midterm. Of those students who earned an A on the midterm, 47% received an A on the final, and 11% of the students who earned lower than an A on the midterm received an A on the final.
This means that
Of the 13% of students who earned an A on the midterm, 47% received an A on the final. Also, of the 87% who did not earn an A on the midterm, 11% received an A on the final.
So, the percentage of students who got an A on the final exam is

To find the probability that this student earned an A on the final test also earned on the midterm, we divide the percentage of students who got an A on both tests by the percentage of students who got an A on the final test.
The percentage of students who got an A on both tests is:

The probability that the student also earned an A on the midterm is

There is a 38.97% probability that this student earned an A on the midterm.
Answer:
(a) The probability of more than one death in a corps in a year is 0.1252.
(b) The probability of no deaths in a corps over 7 years is 0.0130.
Step-by-step explanation:
Let <em>X</em> = number of soldiers killed by horse kicks in 1 year.
The random variable
.
The probability function of a Poisson distribution is:

(a)
Compute the probability of more than one death in a corps in a year as follows:
P (X > 1) = 1 - P (X ≤ 1)
= 1 - P (X = 0) - P (X = 1)

Thus, the probability of more than one death in a corps in a year is 0.1252.
(b)
The average deaths over 7 year period is: 
Compute the probability of no deaths in a corps over 7 years as follows:

Thus, the probability of no deaths in a corps over 7 years is 0.0130.