Answer:
Step-by-step explanation:
Since the population standard deviation 
, is known, we use the z confidence interval for the mean.
This is given by:
For a 95% confidence interval we use 
.
It was also given that: 
, 
and 
Let us substitute the values to get:
<u>Interpretation:</u>
We can say with 95% confidence that the interval between 1463.3 and 1580.7 SAT scores contains the population mean based on the sample 125 SAT scores.
Answer:
Step-by-step explanation:
30t - 5t² = 10
5t² - 30t + 10 = 0
t = [30 ± √(30² - 4 ⋅ 5 ⋅ 10)] / [2 ⋅ 5]
= [30 ± √700] / 10
= [30 ± 10√7] / 10
= 3 ± √7
≈ 0.35 seconds and 5.65 seconds
Answer:
$20
Step-by-step explanation:
simple maths
Product of 4 and a number translates to 4x because the word product means multiplication.
We then need to subtract one from that which would be 4x - 1.
The word is translates to "equals" so 4x - 1 = 11 is the translation of the whole problem.
Now solve that equation.
4x - 1 = 11
1st add +1 +1
2nd simplify 4x = 12
3rd divide. 4 4
x = 3
16)
(4x + 2) is equal to 150 because they are vertical angles. When two lines intersect, on the opposite sides of the x like these are will be equal to one another. So let’s make them equal to each other.
4x + 2 = 150
Subtract 2
4x = 148
Divide by 4
x = 37
So it will be A
17)
The two angles added up with each other
34 + 146 = 180
Since these two add up to 180 degrees, they would be supplementary angles.
So, H
18)
The two angles will make a 90 degree angle (as shown with the little box formed in the corner)
When angles add up to make 90 degrees, they will be complimentary angles.
So, C.
