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2 years ago

Select a counter-example that makes the conclusion false.

Mathematics

1 answer:

Softa [21]2 years ago

4 0

A counter-example could be

There are more than 3 marbles in the bag, and the other ones are red.

Hope this helps!

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Ben uses a compass and a straightedge to bisect angle PQR, as shown below: The figure shows two rays QP and QR with a common end

maria [59]

Answer:

The correct option is;

∠AQS ≅ ∠BQS when AS = BS

Step-by-step explanation:

Given that AQ is equal to BQ. When AS is drawn congruent to BS, we have;

QS is congruent to SQ by reflective property

Therefore;

The three sides of triangle QAS are congruent to the three sides of triangle QBS, from which we have;

∠AQS and ∠BQS are corresponding angles, therefore;

∠AQS ≅∠BQS because corresponding angles of congruent triangles are also congruent.

6 0

2 years ago

Read 2 more answers

Sophie says that if the interior angle of a triangle is 65 degrees and the exterior one is 295 degrees. Comment on her thinking

Yuri [45]

Sophie is correct because 295 + 65 = 360 and 360 is the # of degrees in a full circle

5 0

2 years ago

A simple random sample of 100 batteries is selected from a process that produces batteries with a mean lifetime of 32 hours and

Brrunno [24]

Answer:

.b. It is one‐half as large as when n = 100.

Step-by-step explanation:

Given that a simple random sample of 100 batteries is selected from a process that produces batteries with a mean lifetime of 32 hours and a standard deviation of 3 hours.

i.e. s = 0.3

we obtain se of sample by dividing std devitation by the square root of sample size

i.e. s= $\frac{3}{\sqrt{n} }$

when n =100 this = 0.3 and

when n =400 this equals 0.15

We find that when sample size is four times as large as original, std deviation becomes 1/2 of the original

Correction option is

.b. It is one‐half as large as when n = 100.

7 0

2 years ago

Let x be the ages of students in a class. Given the frequency distribution f(x) above, determine the following probabilities:.

lora16 [44]

Probabilities are used to determine the chances of events

The value of the probability P(x < 24) is 0.7895

<h3>How to calculate the probability P(x < 24)?</h3>

This is calculated as:

$P(x < 24) = \frac{n(x < 24)}{Total}$

So, we have:

$P(x < 24) = \frac{22 + 3 + 5}{22 + 3 + 5 + 4 + 4}$

Evaluate the sums

$P(x < 24) = \frac{30}{38}$

Evaluate the quotient

$P(x < 24) = 0.7895$

Hence, the value of the probability P(x < 24) is 0.7895