What is the slope of the line that passes through (-6,13) and (8,-29)

Based on a poll, a newspaper reported that between 52% and 68% of voters would be likely to vote for a schoolbond issue. What is

Reil [10]

Answer:

The margin of error of the poll is 8%.

Step-by-step explanation:

This is a confidence interval. A confidence interval has both a lower end and an upper end.

The true proportion is the midpoint between the two ends.

The margin of error is the absolute difference between the proportion and the ends(which is the same, upper end - proportion = proportion - lower end),

In this problem, we have that:

The lower end is 52%.

The upper end is 68%.

The proportion is (52 + 68)/2 = 60%.

The margin of error is 60 - 52 = 68 - 60 = 8%.

7 0

3 years ago

Please answer question 7 and 8 above

Reil [10]

7. if you have a fraction with the same denominator, to add them together you add the numerators and the keep the denominator the same. to subtract, you subtract the numerator and keep the denominator the same.

8. the whole number times the denominator and add the answer to the numerator. to subtract you so the same just subtract rather than add

8 0

3 years ago

In the funny elementary school cafeteria, lunch for 100 people is served. But it is today turvy, and the waiters are acting funn

Oliga [24]

Answer:

All the plates were placed normally.

Step-by-step explanation:

All the plates were upside down, then every third waiter turned the third plate upwards, the fourth waiter turned every plate upward and so on, the pattern continued until the 100th waiter turned the 100th plate upward. The pattern was finished and all the plates were placed normally, right side up.

5 0

3 years ago

Factorise 15x + 35y - 40 z

Amanda [17]

<span>15x + 35y - 40 z = 5 (3x + 7y -8z)

hope that helps
............................</span>

5 0

3 years ago

Read 2 more answers

he radioactive element carbon-14 has a half-life of 5750 years. A scientist determined that the bones from a mastodon had lost

elena-s [515]

Answer:

The bones were 12,485 years old at the time they were discovered.

Step-by-step explanation:

Amount of the element:

The amount of the element after t years is given by the following equation, considering the decay rate proportional to the amount present:

$A(t) = A(0)e^{-kt}$

In which A(0) is the initial amount and k is the decay rate, as a decimal.

The radioactive element carbon-14 has a half-life of 5750 years.

This means that $A(5750) = 0.5A(0)$ , and we use this to find k. So

$A(t) = A(0)e^{-kt}$

$0.5A(0) = A(0)e^{-5750k}$

$e^{-5750k} = 0.5$

$\ln{e^{-5750k}} = \ln{0.5}$

$-5750k = \ln{0.5}$

$k = -\frac{\ln{0.5}}{5750}$

$k = 0.00012054733$

So

$A(t) = A(0)e^{-0.00012054733t}$

A scientist determined that the bones from a mastodon had lost 77.8 % of their carbon-14. How old were the bones at the time they were discovered?

Had 100 - 77.8 = 22.2% remaining, so this is t for which:

$A(t) = 0.222A(0)$