Answer:
b.) 3p=6 is not equivalent
Step-by-step explanation:
If you solve and do the same thing on both sides you will get every other solution except b.
Answer:
width is 27 yards and length is 123 yards
Step-by-step explanation:
Perimeter of a rectangle is 2(L + W).
If length is 96 more than width, then we know L = 96 + W
Since we also know the perimeter, we can put them into an equation and solve for the length and width:
2(L + W) = P
2(96 + W + W) = 300
96 + 2W = 150
2W = 54
W = 27
Plug this back into L = 96 + W to find the length:
L = 96 + W
L = 96 + 27
L = 123
Therefore, the width is 27 yards and length is 123 yards.
Answer:
A) y>=-1
Step-by-step explanation:
The line itself is y=-1, but it is also filled in. Therefore, we are down to either A or C as the right answer
Since (0,0) is a solution to the inequality as indicated by the shade, we know that since y=0 in the origin, 0 is greater than -1, so therefore A is the correct answer.
Answer:
The fifth number is <u>9</u>
Step-by-step explanation:
7 is the mode because it appears the most.
7 has to be the median, so the fifth number could be anything.
7 has to be the mean, so you would do:
7 x 5 = 35
35 - 7 - 7 - 7 - 5 = <u>9</u>
The phrasing "nine times out of ten" means 9/10 = 0.90 = 90% is the confidence level. We're confident 90% of the time that the confidence interval captures the population parameter we're after (in this case mu = population mean)
The portion "have an average score within 5% of 75%" means that 75% = 0.75 is the center of the confidence interval, and it goes as low as 0.75 - 0.05 = 0.70 and as high as 0.75 + 0.05 = 0.80
This confidence interval is from 70% to 80%, meaning that nine times out of ten, we're confident that the average score is between 70% and 80%
We write the confidence interval as (0.70, 0.80). It's common to use the notation (L, U) to indicate the lower (L) and upper (U) boundaries. You might see the notation in the form L < mu < U. If so, then it would be 0.70 < mu < 0.80; either way they mean the same thing.
The margin of error is 0.05 as its the 5% radius of the interval. It tells us how far the most distant score is from the center (75%)
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In summary, we have these answers
- confidence level = 90%
- margin of error = 5% = 0.05
- confidence interval = (0.70, 0.80)
- interpretation = We're 90% confident that the average exam score is between 0.70 and 0.80
