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Alina [70]
1 year ago
8

Determine the equation of the perpendicular bisector of the segment with endpoints (–5, 3) and (5, 5).

Mathematics
1 answer:
Ann [662]1 year ago
4 0

Answer:

y=-5x+4

Step-by-step explanation:

First lets find the midpoint of the points (-5,3) and (5,5).

(0,4) is the midpoint by the midpoint formula.

Next we find the slope of the 2 points.

2/10 or 1/5

To find the perpendicular bisector, we need to find the negative reciprocal of the slope, which is -5x. However, we want the line to pass through (0,4), so we make the y-intercept 4.

Therfore, the answer is y=-5x+4

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A clinical trial tests a method designed to increase the probability of conceiving a girl. In the study 335335 babies were​ born
strojnjashka [21]

Answer:

The 99​% confidence interval estimate of the percentage of girls born is (74.37%, 85.63%).

Usually, 50% of the babies are girls. This confidence interval gives values considerably higher than that, so the method to increase the probability of conceiving a girl appears to be very effective.

Step-by-step explanation:

Confidence Interval for the proportion:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

For this problem, we have that:

n = 335, \pi = \frac{268}{335} = 0.8

99% confidence level

So \alpha = 0.01, z is the value of Z that has a pvalue of 1 - \frac{0.01}{2} = 0.995, so Z = 2.575.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.8 - 2.575\sqrt{\frac{0.8*0.2}{335}} = 0.7437

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.8 + 2.575\sqrt{\frac{0.8*0.2}{335}} = 0.8563

For the percentage:

Multiplying the proportions by 100.

The 99​% confidence interval estimate of the percentage of girls born is (74.37%, 85.63%).

Usually, 50% of the babies are girls. This confidence interval gives values considerably higher than that, so the method to increase the probability of conceiving a girl appears to be very effective.

7 0
3 years ago
Need help loveliesss
tiny-mole [99]

P=44.6

P=a+b+√a^2+b^2=11+15+√11^2+15^2≈44.6

3 0
3 years ago
Isabella uses one-foot cubical blocks to build a rectangular fort that is 12 feet long, 10 feet wide, and 5 feet high. The floor
jonny [76]

Answer:

12

trust me it works i just took the test.

5 0
3 years ago
Think about converting 48% to an equivalent fraction in reduced form. If the denominator is 25, what is the numerator?
bulgar [2K]

Answer:

the numerator is 12

Step-by-step explanation:

since 48 is a percent, it would be put as 48/100 as a fraction. since both the numerator and denominator are divisible by 4, you can reduce the fraction into 12/25. Since the question is asking what the numerator was when the denominator was 25, the answer is 12.

8 0
3 years ago
Suppose you invest $1500 at an Annual interest rate of 5% compounded continuously. How much will you have in the account after 4
aleksklad [387]
So you know the compound continuously formula is A = Pe^{rt}. Thus, just plug in. A = (1500)e^{(.05)(4)} Plug that into your calc to get $1832.
5 0
3 years ago
Read 2 more answers
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