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Ira Lisetskai [31]
3 years ago
8

If BC = CD and AB = 23, what is BD?

Mathematics
1 answer:
True [87]3 years ago
7 0
BD = 46

Explanation:
BC = CD and AC is used for both triangles so AD MUST = AB.
If AB = 23, then AD = 23.
BD = AB + AB
BD = 23 + 23
BD = 46
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What is the point-slope form of a line with slope 6 that contains the point
blondinia [14]

Answer:

<h2>The answer is option C</h2>

Step-by-step explanation:

To find an equation of a line in point slope form when given the slope and a point we use the formula

y -  y_1 = m(x -  x_1)

where

m is the slope

( x1 , y1) is the point

From the question the point is (1,2) and the slope is 6

The equation of the line in point slope form is

<h2>y - 2 = 6( x - 1)</h2>

Hope this helps you

8 0
3 years ago
Determine whether the relation is a function. (2, -3). (3, 2). (4, 7), (3, 14, (6, 23)
Vika [28.1K]

Answer:

A: Yes

Step-by-step explanation:

Each input has exactly one output! So each x value has exactly one y output. hope this helps!

5 0
3 years ago
How do I solve this?
miss Akunina [59]
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3 0
3 years ago
Out of 100 people sampled, 42 had kids. Based on this, construct a 99% confidence interval for the true population proportion of
maksim [4K]

Answer:

The 99% confidence interval for the true population proportion of people with kids is (0.293, 0.547).

Step-by-step explanation:

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 z-score that has a p-value of 1 - \frac{\alpha}{2}.

Out of 100 people sampled, 42 had kids.

This means that n = 100, \pi = \frac{42}{100} = 0.42

99% confidence level

So \alpha = 0.01, z is the value of Z that has a p-value 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}} = 0.42 - 2.575\sqrt{\frac{0.42*0.58}{100}} = 0.293

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.42 + 2.575\sqrt{\frac{0.42*0.58}{100}} = 0.547

The 99% confidence interval for the true population proportion of people with kids is (0.293, 0.547).

7 0
3 years ago
Suppose that the duration of a particular type of criminal trial is known to be normally distributed with a mean of 22 days and
Alika [10]

Answer:

25.5 days

Step-by-step explanation:

Mean number of days (μ) = 22 days

Standard deviation (σ) = 6 days

Z-score for the 72nd percentile (according to tabulated values) = 0.583

The z-score for any number of days, X, is determined by:

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Therefore, 72% of all of these types of trials are completed within 25.5 days.

6 0
3 years ago
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