Answer:
8 km
Step-by-step explanation:
It is given that, the scale of a map says that 8 cm represents 5 km. We need to find the actual number of kilometers that is represented by 5 centimeters on the map.
8 cm = 5 km
1 cm = (8/5) km
For 5 cm, multiply (8/5) km by 5.
So,
x = 8 km
So, 8 km is represented by 5 centimeters on the map.
Answer:
7 Hours 12 Minutes
Step-by-step explanation:
So they one of the printer increases at a rate of 1/12 and the other increases at a rate of 1/18. Since you don't know the time it actually takes, you will replace both numerators with and x. (x/12 and x/18). You want to set these up so that they are adding. (x/12 + x/18=1). Since you're adding, you want to change it to the same denominator. The lowest is 36 so you multiply x/12 by 3/3 (so you don't unbalance the equation) and x/18 by 2/2. You'll end up with 3x/36 + 2x/36= 1 which will simplify to 5x/36=1. Multiply each side by 36 to leave the variable by itself. It becomes 5x=36 and when you divide it by 5 you get 7.2. So it's seven and .2 hours, which is equivalent to7 and 1/5 of an hour or 7 hours and 12 minutes.
Answer:
And for this case the margin of error would be:
If the level of confidence increase we can conclude that the value of 
would increase and the the confidence interval would be wider, since the margin of error increase.
c. Increase; wider
Step-by-step explanation:
Previous concepts
A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".
The margin of error is the range of values below and above the sample statistic in a confidence interval.
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
Solution to the problem
Let's assume that we have a parameter of interest 
and we want to estimate the value of p with 
and in general the confidence interval if the distribution of p is normal is given by:
And for this case the margin of error would be:
If the level of confidence increase we can conclude that the value of would increase and the the confidence interval would be wider, since the margin of error increase.
c. Increase; wider
Answer:
1
Step-by-step explanation:
100% is 1 as a fraction
Answer:
Step-by-step explanation:
Let the points be A and B
A ( -13 , 15 ) ⇒( x₁ , y₁ )
B ( 20 , -7 )⇒( x₂ , y₂ )
<u>Finding</u><u> </u><u>the</u><u> </u><u>slope</u><u> </u> :
plug the values
⇒
We know that, 
⇒
Calculate the sum
⇒
Reduce the numbers with G.C.F 11
⇒
Hope I helped !
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