Answer:
The capacity of the mug = 
cups
Step-by-step explanation:
Given - A mug is 1/8 full. The mug contains 1/6 of a cup of water.
To find - Find the capacity of the mug. Write the answer as a fraction or mixed number
Proof -
Let the capacity of water = x
Given that,
A mug is 
full of water
⇒Total cups of water in the mug = 
Now,
Given that, The mug contains 
of a cup of water.
∴ we get
=
⇒x = × 8
= 
= 
=
⇒x =
∴ we get
The capacity of the mug = cups
Hey there!
When dealing with percent word problems, the word "is" means equals. Let's see what we can do with your problem.
If the small school had 60% boys, it will have 40% girls. The number of boys <em>is</em> 48, which should equal 60% of the total, which we can model below, with t representing the total number of kids. In decimal form, 60% is 0.6.
0.6t=48
We divide both sides by 0.6.
t=80
Therefore, there are 80 total kids at the school.
We can also check our answer below.
BOYS: 0.6(80)= 48
GIRLS: 0.4(80)=32
48+32=80
I hope that this helps!
We are given
<span>μ > 1180
</span><span>α = 0.02
</span><span>σ = 201.71
x = </span><span>1198.79
n = 200
The null hypothesis is </span>μ ≤ 1180 while the alternative hypothesis is μ > 1180
The test statistic is 1.32 which means that the confidence internval is 98%. Getting the z-score
z = (x - μ) / σ
z = (1198.79 - 1180) / 201.71
z = 0.093
For a normally distributed population, the z-score of 0.093 has a p-value of
p = 0.46
Y=5x-6 can be rewritten as
y+6=5x
(y+6)/5=x
x=(y+6)/5
Answer:
H≤7
Step-by-step explanation:
