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3 years ago

When p is false and q is true, then p or q is _______ true

Mathematics

1 answer:

Anastaziya [24]3 years ago

7 0

Answer:

sometimes

Step-by-step explanation:

always and never would not make sense since saying it is possible that it is true or false.

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Given: Base ∠BAC and ∠ACB are congruent.

Sergio039 [100]

Refer to the image attached.

Given: $\angle BAC$ and $\angle ACB$ are congruent.

To Prove: $\Delta$ ABC is an isosceles triangle.

Construction: Construct a perpendicular bisector from point B to Line segment AC.

Consider triangle ABD and BDC,

$\angle BAD = \angle BCD$ (given)

$\angle ADB = \angle BDC = 90^\circ$

(By the definition of a perpendicular bisector)

$AD=DC$ (By the definition of a perpendicular bisector)

Therefore, $\Delta ABD \cong \Delta BDC$ by Angle Side Angle(ASA) Postulate.

Line segment AB is congruent to Line segment BC because corresponding parts of congruent triangles are congruent.(CPCTC)

8 0

4 years ago

Read 2 more answers

A simple random sample of 100 observations was taken from a large population. The sample mean and the standard deviation were de

olga2289 [7]

Answer:

Se=1.2

Step-by-step explanation:

The standard error is the standard deviation of a sample population. "It measures the accuracy with which a sample represents a population".

The central limit theorem (CLT) states "that the distribution of sample means approximates a normal distribution, as the sample size becomes larger, assuming that all samples are identical in size, and regardless of the population distribution shape"

The sample mean is defined as:

$\bar X =\frac{\sum_{i=1}^n x_i}{n}$

And the distribution for the sample mean is given by:

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

Let X denotes the random variable that measures the particular characteristic of interest. Let, X1, X2, …, Xn be the values of the random variable for the n units of the sample.

As the sample size is large,(>30) it can be assumed that the distribution is normal. The standard error of the sample mean X bar is given by:

$Se=\frac{\sigma}{\sqrt{n}}$

If we replace the values given we have:

$Se=\frac{12}{\sqrt{100}}=1.2$

So then the distribution for the sample mean $\bar X$ is:

$\bar X \sim N(\mu=80,Se=1.2)$

5 0

3 years ago

How do i solve this problem

VMariaS [17]

The sum of the interior angles of a quadrilateral -(4 sided shape)
its 360 degrees

add up all the angles, set it equal to 360 degrees, solve for x

any questions

6 0

3 years ago

Which relationship is a function?

expeople1 [14]

The first graph with the month in numbers because the X value which is the month never appears again while the other appears again or attached to-other y value

3 0

3 years ago

Read 2 more answers

Can u guys PLEASE answer this question ASAP. A fat cat that was initially 12 kg reduces its weight by 10% each month. How long d

Mkey [24]

Answer:

It takes at least 7 months for the cat to be at least 6 kg lighter than the original weight.

Step-by-step explanation:

Use exponential decay formula:

A = P (1-r)t

A = amount decreased to

P = original amount

r = rate of decrease

t = time

6 ≥ 12 (1-0.10)t divide both sides by 12

0.5 ≥ (0.9)t take log of both sides

log (0.5) ≥ log (0.9)t power rule of logs lets the exponent t drop to front of log to become a factor

log (0.5) ≥ t log(0.9) divide both sides by log(0.9) which is negative so reverse the inequality sign

log (0.5) / log (0.9) ≤ t use calculator

6.57 ≤ t

It takes at least 7 months for the cat to be at least 6 kg lighter that original weight.

check:

12 (0.9)7≈ 5.73

12 (0.9)6 ≈ 6.37

5 0

3 years ago