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saul85 [17]
3 years ago
10

In the figure, the slope of mid-segment DE is -0.4. The slope of segment AC is . i need help fast plz

Mathematics
2 answers:
AlexFokin [52]3 years ago
8 0
It will have the same value. The slope of the mid-segment of DE is just equal to the slope of the segment of AC. This is because of the mid-segment theorem stating that both slopes of a triangle have same value. So the answer is -0.4 for both segments.
alisha [4.7K]3 years ago
6 0
The correct answer is -

0.4
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Which pairs of points would result in a line with a rate of change of 2:1? Select all that apply.
Helen [10]

Answer:

Options A, C, D are true.

Step-by-step explanation:

We have to choose the pair of points from that given in the attached file which will result in a line with a rate of change i.e. slope of 2:1 i.e. 2.

A. The points are (-4,-11) and (-2,-7).

Then the slope of the joining line is \frac{-7-(-11)}{-2-(-4)} =2

B. The points are (5,6) and (-5,12).

Then the slope of the joining line is \frac{12-6}{-5-5} =-\frac{3}{5}

C. The points are (0,-3) and (-4,-11).

Then the slope of the joining line is \frac{-11-(-3)}{-4-0} =2

D. The points are (0,-3) and (5,7).

Then the slope of the joining line is \frac{7-(-3)}{5-0} =2

Therefore, options A, C, D are true. (Answer)

7 0
3 years ago
The mean number of words per minute (WPM) read by sixth graders is 8888 with a standard deviation of 1414 WPM. If 137137 sixth g
Bingel [31]

Noticing that there is a pattern of repetition in the question (the numbers are repeated twice), we are assuming that the mean number of words per minute is 88, the standard deviation is of 14 WPM, as well as the number of sixth graders is 137, and that there is a need to estimate the probability that the sample mean would be greater than 89.87.

Answer:

"The probability that the sample mean would be greater than 89.87 WPM" is about \\ P(z>1.56) = 0.0594.

Step-by-step explanation:

This is a problem of the <em>distribution of sample means</em>. Roughly speaking, we have the probability distribution of samples obtained from the same population. Each sample mean is an estimation of the population mean, and we know that this distribution behaves <em>normally</em> for samples sizes equal or greater than 30 \\ n \geq 30. Mathematically

\\ \overline{X} \sim N(\mu, \frac{\sigma}{\sqrt{n}}) [1]

In words, the latter distribution has a mean that equals the population mean, and a standard deviation that also equals the population standard deviation divided by the square root of the sample size.

Moreover, we know that the variable Z follows a <em>normal standard distribution</em>, i.e., a normal distribution that has a population mean \\ \mu = 0 and a population standard deviation \\ \sigma = 1.

\\ Z = \frac{\overline{X} - \mu}{\frac{\sigma}{\sqrt{n}}} [2]

From the question, we know that

  • The population mean is \\ \mu = 88 WPM
  • The population standard deviation is \\ \sigma = 14 WPM

We also know the size of the sample for this case: \\ n = 137 sixth graders.

We need to estimate the probability that a sample mean being greater than \\ \overline{X} = 89.87 WPM in the <em>distribution of sample means</em>. We can use the formula [2] to find this question.

The probability that the sample mean would be greater than 89.87 WPM

\\ Z = \frac{\overline{X} - \mu}{\frac{\sigma}{\sqrt{n}}}

\\ Z = \frac{89.87 - 88}{\frac{14}{\sqrt{137}}}

\\ Z = \frac{1.87}{\frac{14}{\sqrt{137}}}

\\ Z = 1.5634 \approx 1.56

This is a <em>standardized value </em> and it tells us that the sample with mean 89.87 is 1.56<em> standard deviations</em> <em>above</em> the mean of the sampling distribution.

We can consult the probability of P(z<1.56) in any <em>cumulative</em> <em>standard normal table</em> available in Statistics books or on the Internet. Of course, this probability is the same that \\ P(\overline{X} < 89.87). Then

\\ P(z

However, we are looking for P(z>1.56), which is the <em>complement probability</em> of the previous probability. Therefore

\\ P(z>1.56) = 1 - P(z

\\ P(z>1.56) = P(\overline{X}>89.87) = 0.0594

Thus, "The probability that the sample mean would be greater than 89.87 WPM" is about \\ P(z>1.56) = 0.0594.

5 0
3 years ago
The 100th term in 8, 13, 18,23, 28,...
Lunna [17]

Answer:

The 100th term of the sequence is 503.

Step-by-step explanation:

Given : Sequence 8, 13, 18,23, 28,...

To find : The 100th term in the sequence ?

Solution :

Sequence 8, 13, 18,23, 28,... is the arithmetic sequence

Where, First term is a=8

The common difference is d=13-8=5

The nth term of the sequence is given by a_n=a+(n-1)d

The 100th term is given by,

a_{100}=8+(100-1)5

a_{100}=8+(99)5

a_{100}=8+495

a_{100}=503

The 100th term of the sequence is 503.

3 0
3 years ago
Vector u has its initial point at (-7,2) and it's terminal point at (11,-5). Vector v has a direction opposite that of vector u,
PSYCHO15rus [73]

Answer:

3\vec{v}  = ( - 21,54)

Step-by-step explanation:

\vec{u}  =   (18,- 7)\Rightarrow  \vec{v}  = ( - 7,18) \Rightarrow  3\vec{v}  = ( - 21,54)

8 0
3 years ago
What is the slope between the following problems?<br>(8,-4) and (2,-4)​
Varvara68 [4.7K]

Answer:

Slope = 0/-6

(Sorry for the bad handwriting)

7 0
3 years ago
Read 2 more answers
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