Answer:The equation to determine how much Elise will pay for a student ticket is 2x = 33
Step-by-step explanation:
Let x represent the price of one student ticket.
Elise and her dad are planning to attend the state fair and the price of an adult ticket is $21.00
The price of an adult ticket is $10.00 more than two thirds the price of a student ticket. This means that
21 = 2/3 × x + 10
The equation to determine how much Elise will pay for a student ticket would be
2x/3 + 10 = 21
2x/3 = 21 - 10 = 11
2x = 11×3 = 33
x = 33/2 = $16.5
Answer:
95% two-sided confidence interval on the true mean breaking strength is (94.8cm, 99.2cm)
Step-by-step explanation:
Our sample size is 11.
The first step to solve this problem is finding our degrees of freedom, that is, the sample size subtracted by 1. So
.
Then, we need to subtract one by the confidence level
and divide by 2. So:

Now, we need our answers from both steps above to find a value T in the t-distribution table. So, with 10 and 0.025 in the two-sided t-distribution table, we have 
Now, we find the standard deviation of the sample. This is the division of the standard deviation by the square root of the sample size. So

Now, we multiply T and s
cm
For the upper end of the interval, we add the sample mean and M. So the upper end of the interval here is
cm
So
95% two-sided confidence interval on the true mean breaking strength is (94.8cm, 99.2cm).
Answer:
Option A:
is the correct answer.
Step-by-step explanation:
Given that:
Slope of the line = 
Let,
m be the slope of the line perpendicular to the line with slope 
We know that,
The product of slopes of two perpendicular lines is equals to -1.
Therefore,

Multiplying both sides by 

m = 
is the slope of the line perpendicular to the line having slope
Hence,
Option A:
is the correct answer.
L-s=16
4s-5=l
4s-l=5
3s=21
s=7
l-7=16
l=16+7
l=23
The smaller number is 7 and the greater number is 23
5 · (6 - 1) + 3
= 5·5 + 3
= 25 + 3
= 28