It sounds and looks right from what i’m seeing!
Answer:
18
Step-by-step explanation:
because this is still a 3:2 ratio
Answer:
15 small bottles
30 large bottles
Step-by-step explanation:
Let the number of small bottle sold=s
Let the number of large bottle sold=l
She sold all 45 of the hand sanitizer bottles, therefore:
The small bottle sells for $5.00
The large sells for $12.00
She collected a total of $435
We solve the two equations simultaneously to obtain s and l.
From the first equation, s=45-l
Substitute s=45-l into 5s+12l=435
5(45-l)+12l=435
225-5l+12l=435
7l=435-225
7l=210
Divide both sides by 7
l=30
Recall: s=45-l
Therefore, s=45-30=15
<u>Allanah sold 15 small bottles and 30 large bottles of hand sanitizer.</u>
Answer:
Step-by-step explanation:
Hello!
To make a CI for the population mean you need to make the following assumptions:
- The variable should have a normal distribution (since the population mean is a parameter of this distribution, you need it to study the mean)
-The observations should be independent.
Here I've calculated the CI using a 95% confidence level:
x[bar]±
*(δ/√n)
[281±1.96*(72/√26)]
[190.32;245.67]days
I hope you have a SUPER day!
Answer:
It takes Nick alone 7.5 days to finish painting a house.
Step-by-step explanation:
Let the speed of Brad's painting be B
Let the speed of Nick's painting be N
And let the amount of work required to paint a house be H
Let the time it takes Nick alone to finish painting a house be t
(Speed of painting) = (amount of work to be done)/(total time it takes to finish)
From the question,
B = (H/5) (eqn 1)
N = (H/t) (eqn 2)
But they both paint a house in 3 days
In 3 days, Brad does (3×B) amount of work and Nick does (3×N) amount of work too.
Therefore, H = 3B + 3N (eqn 3)
Recall (eqn 1) and (eqn 2) and substitute for B and N in (eqn 3)
H = 3B + 3N
B = (H/5); N = (H/t)
H = (3H/5) + (3H/t)
1 = (3/5) + (3/t)
Multiply through by 5t
5t = 3t + 15
5t - 3t = 15
2t = 15
t = (15/2) = 7.5 days