Answer:
Based on the 95% confidence interval for the difference in population proportion, there is convincing statistical evidence that he is correct
Step-by-step explanation:
The proportion from the sample of people from his party that support the law = 70%
The number the members of the politicians political party that support the law = 550 people
The proportion from the sample of people from the other party that support the law = 65%
The number the members of the politicians political party that support the law = 420 people
The confidence level of the test = 95%
The given confidence interval for the difference in proportion, C.I. = (-0.010, 0.110)
Given that the 95% confidence interval for the difference in population proportion ranges from -0.010, to 0.110, it is 95% certain that 0 is among the likely difference in proportion between the two populations and therefore, there is sufficient statistical evidence to suggest that there is no difference in the proportion of the members of either political that support the proposed new traffic law.
One possible divided is the number 1236.
If 5 went into 1235 the quotient would be exactly 247. However, there needs to be a remainder. So let's just change the number to 1236. Then, there will be a remainder of 1.
The answer is -7+19i because of the procedure used in math
Answer: 35 additional teachers are needed
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Explanation:
We have 2470 students and the ratio of students to teachers is 26:1. This means that for every teacher, there are 26 students. Put another way, we can set up this ratio
2470/x = 26/1
where x is the number of teachers. Cross multiply and solve for x
2470/x = 26/1
2470*1 = 26*x
2470 = 26x
26x = 2470
26x/26 = 2470/26
x = 95
So we have 95 teachers currently
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Let y be the new number of teachers needed to bring the ratio down to 19:1
Using a similar idea as done above, we would have this ratio
2470/y = 19/1
Let's solve for y
2470/y = 19/1
2470*1 = 19*y
2470 = 19y
19y = 2470
19y/19 = 2470/19
y = 130
So we'll need 130 teachers to have the ratio be 19:1
The difference of the values is y - x = 130 - 95 = 35, which is the final answer. This is the additional amount of teachers needed.
Answer:
2. n = 11
4. g = -2
6. t = 21
8. n = 4
10. y = -1
Step-by-step explanation:
2. 63 = -3(1 - 2n)
Dividing both the side by negative 3 we get
4. -g + 2(3 + g) = -4(g + 1)
First we will open the bracket by distributive property A( B +C) = AB + AC
6.-3(t +5 ) + (4t + 2) = 8
Using distributive property A( B +C) = AB + AC we get
8. -8 - n = -3(2n -4)
Using distributive property A( B +C) = AB + AC we get
10. -4( 2 - y) + 3y = 3(y - 4)
Using distributive property A( B +C) = AB + AC we get
