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Marat540 [252]
3 years ago
7

Write the equation of the line in point-slope form that passes through the point (-2.3)

Mathematics
1 answer:
Nostrana [21]3 years ago
5 0

Answer:

work is pictured and shown

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Given that a randomly chosen quadrilateral has four right angles, what is the probability that the quadrilateral also has four e
Alexxx [7]

Answer:

0.25

Step-by-step explanation:

This is the question on conditional probability

Let A - the quadrilateral has four right angles

B - the quadrilateral has four equal side lengths

Required probability = P(B/A)

By definition of continuous probability

P(B/A) = \frac{P(AB)}{P(A)}

P(AB) = \frac{2}{20} =0.10

P(A) = \frac{8}{20} =0.4

Hence given probability = \frac{0.1}{0.4} =0.25

7 0
3 years ago
HelllllllP it’s due today :/
svetlana [45]

Answer:

Rectangle

Step-by-step explanation:

Note the definition of a rectangle. All angles must be 90°, and opposite sides are parallel and congruent.

It says that Andre "drew a quadrilateral with <em>four right angles and two pairs of congruent sides</em>.", making rectangle a candidate as an answer.

~

4 0
3 years ago
What is a convex polygon​
azamat

Answer:

Step-by-step explanation:

a convex pentagon is basically just a pentagon which sides are either less than or equal to a straight angle

7 0
3 years ago
A simple random sample of size nequals10 is obtained from a population with muequals68 and sigmaequals15. ​(a) What must be true
valentina_108 [34]

Answer:

(a) The distribution of the sample mean (\bar x) is <em>N</em> (68, 4.74²).

(b) The value of P(\bar X is 0.7642.

(c) The value of P(\bar X\geq 69.1) is 0.3670.

Step-by-step explanation:

A random sample of size <em>n</em> = 10 is selected from a population.

Let the population be made up of the random variable <em>X</em>.

The mean and standard deviation of <em>X</em> are:

\mu=68\\\sigma=15

(a)

According to the Central Limit Theorem if we have a population with mean <em>μ</em> and standard deviation <em>σ</em> and we take appropriately huge random samples (<em>n</em> ≥ 30) from the population with replacement, then the distribution of the sample mean will be approximately normally distributed.

Since the sample selected is not large, i.e. <em>n</em> = 10 < 30, for the distribution of the sample mean will be approximately normally distributed, the population from which the sample is selected must be normally distributed.

Then, the mean of the distribution of the sample mean is given by,

\mu_{\bar x}=\mu=68

And the standard deviation of the distribution of the sample mean is given by,

\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}=\frac{15}{\sqrt{10}}=4.74

Thus, the distribution of the sample mean (\bar x) is <em>N</em> (68, 4.74²).

(b)

Compute the value of P(\bar X as follows:

P(\bar X

                    =P(Z

*Use a <em>z</em>-table for the probability.

Thus, the value of P(\bar X is 0.7642.

(c)

Compute the value of P(\bar X\geq 69.1) as follows:

Apply continuity correction as follows:

P(\bar X\geq 69.1)=P(\bar X> 69.1+0.5)

                    =P(\bar X>69.6)

                    =P(\frac{\bar X-\mu_{\bar x}}{\sigma_{\bar x}}>\frac{69.6-68}{4.74})

                    =P(Z>0.34)\\=1-P(Z

Thus, the value of P(\bar X\geq 69.1) is 0.3670.

7 0
3 years ago
Solve (3x-4)-(5x-3) and simplify the answer!
AnnyKZ [126]

Answer:

-2x-1

Step-by-step explanation:

(3x-4)-(5x-3)

Distribute the minus sign

3x-4-5x+3

Combine like terms

3x-5x  -4+3

-2x-1

7 0
3 years ago
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