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Alona [7]
3 years ago
14

Please help will mark BRAINLIEST *attach pic of work pls*

Mathematics
1 answer:
juin [17]3 years ago
5 0

Answer:

Step-by-step explanation:

Given:

E is the midpoint of segment AC.

AE ≅ EC

∠BAE ≅ ∠ECD

To prove:

ΔAEB ≅ ΔCED

                    Statements                          Reasons

1). AE ≅ EC                                          1). Given

2). ∠BAE ≅ ∠ECD                              2). Given

3). ∠AEB ≅ ∠CED                              3). Vertically opposite angles theorem

4). ΔAEB ≅ ΔCED                              4). By ASA postulate of congruence

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Determine mu Subscript x overbar and sigma Subscript x overbar from the given parameters of the population and the sample size.
pentagon [3]

Answer:

\bar X= \mu = 25

\sigma_{\bar X}= \frac{7}{\sqrt{15}}= 1.807

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the variable of interest of a population, and for this case we know the following conditions

Where \mu=25 and \sigma=7

And for this case we select a sample size of n= 15. and we want to know the distribution for the sample mean \bar X. We can assume that the distribution for \bar X is approximately normal and given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

Asuming that the distribution for X is also approximately normal. So then the parameters are:

\bar X= \mu = 25

\sigma_{\bar X}= \frac{7}{\sqrt{15}}= 1.807

8 0
3 years ago
Delete the ribbon is 3/4 meter Sunday needs pieces measuring 1/3 meter for in our project what is the greatest number of pieces
Bogdan [553]

Answer:the greatest number of pieces that can be cut is 2

Step-by-step explanation:

The total length of ribbon available is 3/4 meter. Sunday needs pieces measuring 1/3 meter for their project. This means that each length needed would be exactly 1/3 meter.

The number of pieces measuring 1/3 meter that can be cut from the ribbon would be

(3/4)/(1/3) = 3/4×3/1 = 9/4 = 2.25

Since the length needed is exactly 1/3 meter, the greatest number of pieces that can be cut will be 2

6 0
3 years ago
ABCD is a rhombus. The diagonals, AC and BD, intersect at the point M. The coordinates of M are (6, -11). The points A and C bot
Zielflug [23.3K]

Answer:

The exact coordinates of the point where the line through B and D intersects the y-axis is \left ( 0, \ -12\dfrac{5}{7} \right)

Step-by-step explanation:

For the given question, we have the following parameters;

The shape of the quadrilateral ABCD in the question = A rhombus

The diagonals of the rhombus = AC and BD

The point of intersection of the diagonals, M = (6, -11)

The equation of the line points A and C lie = 2·y + 7·x = 20

A rhombus is an orthodiagonal quadrilateral (The diagonals of a rhombus are perpendicular)

Therefore;

AC ⊥ BD  and where the slope of the line with points A and C is 'm', the slope of the line with points B and D is (-1/m)

Rewriting the equation, 2·y + 7·x = 20, in slope and intercept form, we have;

2·y + 7·x = 20

y = (- 7·x + 20)/2 = -7·x/2 + 10

∴ y = -7·x/2 + 10

The slope of the line 'y = -7·x/2 + 10', m = -7/2

∴ The slope of the line having the points B and D is -1/m = -1/(-7/2) = 2/7

The equation of the line having the points B and D in point and slope form, using point (6, -11) is given as follows;

y - (-11) = 2/7 × (x - 6)

y + 11 = 2·x/7 - 12/7

∴ y = 2·x/7 - 12/7 - 11 = 2·x/7 - 89/7 = 2·x/7 - 12\dfrac{5}{7}

The equation of the line having the points B and D in point is therefore;

y = 2·x/7 - 12\dfrac{5}{7}

The coordinates of the point where the line having the points B and D intersects the y-axis is the y-intercept, of the equation,  y = 2·x/7 - 12\dfrac{5}{7}, which is \left ( 0, \ -12\dfrac{5}{7} \right)

8 0
3 years ago
What is 14/3x * 7/-21b ? Show the steps
uranmaximum [27]
I believe the answer is -14bx/9
8 0
4 years ago
Given that (7,-6) is on the graph of f(x), find the
Snezhnost [94]

Answer: (5,-6)

Step-by-step explanation:The point (7,-6) means x = 7 and y = -6 pair up. Recall that y = f(x). So if y = -6, then f(x) = -6 as well when x = 7. So f(7) = -6

Compare f(7) with f(x+2). We see that x+2 = 7 must be true. Isolate x by subtracting 2 from both sides

x+2 = 7

x+2-2 = 7-2

x = 5

The new x coordinate is x = 5. The y coordinate stays the same.

If we were to plug x = 5 into f(x+2), we would get

f(x+2) = f(5+2) = f(7) = -6

The input x = 5 leads to the output f(x+2) = -6

Visually, the point (7,-6) has been shifted 2 units to the left to land on (5,-6)

Mark me as brainliest

4 0
3 years ago
Read 2 more answers
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