Answer:
0.4h ; 60 - h ;18 - 0.3h ; 0.1h + 18
Step-by-step explanation:
Given that:
Old house blend = 40% Columbian beans
New house blend = 30% Columbian beans
h = number of pounds of old house blend
a.) pound of columbian bean in old house blend :
40% of h = 0.4h
b.) pound of new blend poured into the bean:
Size of bin = 60 pound
Size of bin - pound of old house blend
(60 - h)
c. Amount of columbian bean in pound of new house blend :
30% of (60 - h)
0.3 * (60 - h)
18 - 0.3h
D.) Amount of columbian bean in 60 pound bin
(Pound of columbian bean in old house blend + pound of Columbian bean in New house blend)
0.4h + (18 - 0.3h)
0.4h + 18 - 0.3h
0.1h + 18
Answer:
$625
$2500
Step-by-step explanation:
tax = percent of tax x income
0.2 x 3125 = 625
amount remaining = income - tax
3125 - 625
Answer:
a. Yes. This provides convincing evidence that the true proportion of all attendees who ate the fish that got sick (80%) is more than the true proportion of all attendees who did not eat the fish that got sick.
b. The mistake here would have been the rejection of the Doctor's theory or hypothesis to the effect that more attendees who ate the fish got sick than those who did not eat the fish. This is a Type 1 error. A Type 1 error occurs when a null hypothesis is rejected when it is true. On the other hand, a Type II error occurs when the null hypothesis is accepted when it should be rejected. While a Type I error is equivalent to a false positive, a Type II error is equivalent to a false negative.
Step-by-step explanation:
Total number of attendees who ordered fish = 1,000
Sample size of the attendees who ate fish = 80
Number of attendees who ate the fish and got sick = 64 (80% or 64/80)
Sample size of attendees who did not eat fish = 60
Number of attendees who did not eat fish and got sick = 39 (65% or 39/60)
Answer:
So the numbers are 12 and -3.
Step-by-step explanation:
In order to solve this problem we will attribute variables to the numbers, the first one will be "x" and the second one will be "y". From the first sentence we know that the subtraction of the two numbers is equal to 15, so we have:
x - y = 15
Then the problem states that one-third of the sum of the number is equal to one quarter of the first number, so we have:
(1/3)*(x+y) = x/4
Since we now have two equations and two variables we can solve for x and y. From the first equation we have:
y = x - 15
Using this expression for the value of y in the second equation:
(1/3)*(x + x - 15) = x/4
(1/3)*(2*x - 15) = x/4
2*x - 15 = 3*x/4
2*x - 3*x/4 = 15
(8*x - 3*x)/4 = 15
5*x/4 = 15
5*x = 60
x = 60/5 = 12
y = x - 15 = 12 - 15 = -3
So the numbers are 12 and -3.
We know, S.I. = P * R * T / 100
Here, S.I. = 125
P = 750
r = 6.25
Substitute into the formula:
125 = 750*6.25*t / 100
4687.5 * t = 12500
t = 12500 / 4687.5
t = 2.67
t = 2 2/3
In short, Your Answer would be 8/3 Years
Hope this helps!
