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2 years ago

Find the midpoint of (-5,12) and (3,-6)

Mathematics

2 answers:

exis [7]2 years ago

7 0

Answer:

mid point: (4,5)

hope that helps :)

Step-by-step explanation:

natka813 [3]2 years ago

3 0

For the first one it’s 3.5 and the second one is -1.5 hope it helps!

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4 sin ^ 2 x- 4 sin x + 1 = 0

m_a_m_a [10]

$4\sin^2x-4\sin x+1=(2\sin x-1)^2=0\implies \sin x=\dfrac12$

This happens for $x=\dfrac\pi6+2n\pi$ and $x=\dfrac{5\pi}6+2n\pi$ where $n$ is any integer.

8 0

3 years ago

a 15-ft ladder is leaning against one wall of an alley 9 ft wide. the ladder slips, its top sliding down the wall, its foot slid

blagie [28]

2x dx/dt +2y dy/dt = 0
x dx/dt + y dy/dt = 0 
9*4 + 12 dy/dt = 0 
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2 years ago

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

You are buying a new internet service. The service costs $75 per month. In the equation below, d is the

AVprozaik [17]

Answer:

The total number of dollars you pay: Dependent

The time in months you keep your service: Independent

6 0

2 years ago

Express in terms i root of -40

tensa zangetsu [6.8K]

Answer:

6.32455532i

Step-by-step explanation:

Use the square root calculator too find it

5 0

2 years ago