Answer:
200 miles
Step-by-step explanation:
First, set up the equations.
plan 1: initial fee of $55.96, $0.12 per mile
plan 2: initial fee of $63.96, $0.08 per mile
We want to know at what distance will the cost be the same. So, set the equations equal to each other.
0.12x + 55.96 = 0.08x + 63.96
Combine the variables.
0.04x + 55.96 = 63.96
Combine the constants.
0.04x = 8
Divide by 0.04 to isolate x.
x = 200 miles
Check by plugging x back into each equation.
y = 0.12(200) + 55.96
y = 24 + 55.96
y = $79.96
y = 0.08(200) + 63.96
y = 16 + 63.96
y = $79.96
You are correct!
Answer:
The value of the test statistic is 4.70.
Step-by-step explanation:
The hypothesis for this test can be defined as follows:
<em>H</em>₀: Men do not spend more than women on St. Patrick's day, i.e. μ₁ = μ₂.
<em>H</em>ₐ: Men spend more than women on St. Patrick's day, i.e. μ₁ > μ₂.
The population standard deviations are not known.
So a <em>t</em>-distribution will be used to perform the test.
The test statistic for the test of difference between mean is:

Given:

Compute the value of the test statistic as follows:

Thus, the value of the test statistic is 4.70.
Answer:
B. 1069 feet
Step-by-step explanation:

Adding the initial 125 feet to this, you get a total height of 1069 feet. Hope this helps!
Answer:
13(3x-4y+1)
Step-by-step explanation:
Rewrite 52 as (4)(13)
Rewrite 39 as (3)(13)

Then factor out the common term 13

That is your answer!
Have a nice day. Please vote brainliest!
Answer:
A
Step-by-step explanation:
12x12 = 144 per side
144x6 sides = 864