Answer: The simplified form by combining like terms is given by

Step-by-step explanation:
Since we have given that

Now, we combine the like terms :
1) First we collect m terms :

2) Combine n terms and constant terms :

Hence, the simplified form by combining like terms is given by

Type I error is:
" Reject the claim that the proportion of people who write with their left hand is 0.29 when the proportion is actually 0.29 "
Type II error is:
"Fail to reject the claim that the proportion of people who write with their left hand is 0.29 when the proportion is actually different from 0.29 "
<u>What is proportion?</u>
An equation in which two ratios are made equal is called a proportion. For instance, you could write the ratio as 1: 3 (for every one boy, there are three girls), which means that 14 of the population is made up of boys and 34 of the population is made up of girls.
In Statistics, a type I error is the rejection of a true null hypothesis
and a type II error is the non-rejection of a false null hypothesis
Given that p = 0.29 is accepted
Now type I error is
C. Reject the claim that the proportion of people who write with their left hand is 0.29 when the proportion is actually 0.29
i.e. (false positive)
and type II error here is
B. Fail to reject the claim that the proportion of people who write with their left hand is 0.29 when the proportion is actually different from 0.29.
To learn more about the proportion from the given link
brainly.com/question/19994681
#SPJ4
Answer:
90%
Step-by-step explanation:
So Sally gets 18/20 of the questions correct then you need to make the denominator of the fraction to 100 which makes a percent. So you multiply both the numerator and denominator by 5:
90/100
which is equal to 90%
Hope this helps!
To solve, set an equation:
472=0.8x
Divide both sides by 0.8
472/0.8=0.8x/0.8
x=590
Answer: The original price was $590
Answer:
Distance between A and B is 5400 meters
Step-by-step explanation:
Consider "D" the letter to identify distance between A and B
Let's use "t" to identify the time of the first encounter (Devi and Kumar), and create an equation that states that the distance covered by Devi (at 100 m/min) in time "t", is equal to the total distance D minus what Kumar has covered at his speed (80 m/min) in that same time:
Recall that distance equals the speed times the time:
distance= speed * time
First encounter:
100 * t = D - 80 * t
180 * t = D Equation (1)
Not, 6 minutes later (at time t+6) , Devi and Li Ting meet .
Then for this encounter the distance covered by Devi equals total distance d minus the distance covered by Li Ting:
100 *(t+6) = D - 75 * (t+6)
100 t + 600 = D - 75 t - 450
175 T + 150 = D Equation (2)
Now, let's equal equation (1) to equation (2), since D should be the same:
180 t = 175 t + 150
5 t = 150
t = 30
Then the time t (first encounter) is 30 minutes. Knowing this, we can use either equation to find D:
From Equation (1) for example: D = 180 * t = 180 * 30 = 5400 meters