Answer:
11/50
Step-by-step explanation:
In draw 1,
Favourable outcome / Total number of possibilities = 12/25
In draw 2,
Favourable outcome / Total number of possibilities = 11/24
Total chance of getting 2 even numbered cards = 12/25 * 11/24 = 11/50
Answer:
The probability that the difference between the sample mean 
and the true population mean 
is : ![P[|\bar{x}-\mu|\leq0.7]=0.9876](https://tex.z-dn.net/?f=P%5B%7C%5Cbar%7Bx%7D-%5Cmu%7C%5Cleq0.7%5D%3D0.9876)
Step-by-step explanation:
Given :
Population standard deviation 
.
Sample size 
The sample mean standard deviation
To find :
The probability that the difference between the sample mean and the true population mean
Now, the probability that the difference between the sample mean and the true population mean is :
![P[|\bar{x}-\mu|\leq0.7]](https://tex.z-dn.net/?f=P%5B%7C%5Cbar%7Bx%7D-%5Cmu%7C%5Cleq0.7%5D)
, 
is large 
Therefore, the probability
Responda:
6 meses
10 meses
Explicação passo a passo:
Dado que:
Principal = 4000
Juros = 586
Taxa (r) = 29,3% ao ano = 0,293
Juros simples = principal * taxa * tempo
586 = 4000 * 0,293 * t
586 = 1172t
t = 586/1172
t = 0,5 anos
Tempo = (0,5 * 12) = 6 meses
B.)
principal = $ 90909,09
Montante final = 100.000
Taxa (r) = 12% = 0,12
Usando a fórmula:
Quantidade final = p (1 + rt)
Taxa = r; t = tempo
100000 = 90909,09 (1 + 0,12t)
100000 = 90909,09 + 10909,0908t
100000 - 90909,09 = 10909,0908t
9090,91 = 10909,0908t
t = 9090,91 / 10909,0908
t = 0,8333334
Número de meses:
0,8333334 * 12
= 10 meses
Answer:
![t = \frac{100}{r} [\frac{D}{C} - 1]](https://tex.z-dn.net/?f=t%20%3D%20%5Cfrac%7B100%7D%7Br%7D%20%5B%5Cfrac%7BD%7D%7BC%7D%20-%201%5D)
Step-by-step explanation:
Assume that the deposited amount C dollars earn r% simple interest annually.
If after t years the deposited amount C dollars grows to D dollars, then we are asked to write a relation using the given terms to calculate t.
Now, using the formula of simple interest we can write
⇒ 
⇒ 
⇒
So, this is the expression for t. (Answer)
Answer: Yes, Daniel has enough money to buy 2 pens.
=========================================================
Explanation:
x = cost of one pencil
y = cost of one pen
4x = cost of 4 pencils
3y = cost of 3 pens
4x+3y = cost of 4 pencils and 3 pens
100 - (4x+3y) = amount Daniel has left = 7 dollars
100-(4x+3y) = 7 is one equation we can form
Another equation we can form is x = y+3 because "each pencil costs $3 more than each pen".
Let's plug that into the first equation and solve for y.
100-(4x+3y) = 7
100-(4(y+3)+3y) = 7
100 - (4y+12+3y) = 7
100 - (7y+12) = 7
100 - 7y - 12 = 7
-7y + 88 = 7
-7y = 7-88
-7y = -81
y = -81/(-7)
y = 11.57 is the cost of one pen
2y = 2*11.57 = 23.14 is the cost of two pens.
Since this is less than $25, this means he has enough to buy two pens. This assumes that we either ignore tax, or the tax is already included in the listed prices.
