Answer:
=0.423 yards (3 sig figs.)
Step-by-step explanation:
38.7÷91.44
=0.4232283
=0.423 yards (3 sig figs.)
Answer:
Step-by-step explanation:
We are given that:
Where θ is in QIV.
And we want to find the value of tan(θ).
Recall that cosine is the ratio of the adjacent side over the hypotenuse.
Therefore, the opposite side is:
Next, in QIV, only cosine is positive: sine and tangent are both negative.
Tangent is the ratio of the opposite side to the adjacent. So:
Substitute. Tangent is negative in QIV. Hence:
Answer:
Step-by-step explanation:
The point estimate is the sample proportion.
Considering the sample,
Sample proportion, p = x/n
Where
x = number of success = 137
n = number of samples = 200
p = 137/200 = 0.685
From the information given,
Population proportion = 62% = 62/100 = 0.62
The correct options are
A) Yes, the sample size is greater than 30.
B) Yes, there are at least 10 adults saying they get their news from social media and at least 10 that do not.
Answer:
A
Step-by-step explanation:
Let m be the number of tables needed. The owner plans to buy m tables that each seat 4 people. All these tables seat people. There is currently a private chef's table that seats 2 people. In total, m tables and chef's table can seat people.
The owner of a new restaurant wants to have seating for more than 68 people. Thus,
When the profit is 0; then P(t)=0
You have this equation:
t⁴-5t²+4=0
Then, you have to do the following change:
t²=z
you have this other equation:
z²-5t+4=0
Now, you can solve this square equation:
z=[5⁺₋√(25-16)]/2=(5⁺₋√9)/2=
you have two solutions for z.
z₁=(5-3)/2=1
z₂=(5+3)/2=4
Now; if z=1; then
t²=z
t²=1
t=⁺₋√1
We have two solutions:
t=-1 this is not a valid solution:
t=1;
Then in 2001 (2000+t=2000+1=2001) the profit was 0.
If z=4, then:
t²=z
t²=1
t=⁺₋√4
We have two solutions:
t=-2 this is not a valid solution:
t=2;
Then in 2002 (2000+t=2000+2=2002) the profit was 0.
Answer: the yeares in which the profict was 0, were 2001 and 2002.