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3 years ago

Do this correctly for 20 points and brainliest! Please help

Mathematics

1 answer:

nordsb [41]3 years ago

8 0

Answer:

Step-by-step explanation:

It is shaded on the top side because y is greater than or equal to 2x

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A computer system uses passwords that are six characters, and each character is one of the 26 letters (a–z) or 10 integers (0–9)

Blababa [14]

First of all, since we have 36 characters available per spot (26 letters and 10 digits), and we have 6 spots, we have a total of

$36^6$

possible passwords.

Event A happens if the password starts with either a, e, i, o or u. If we fix the first character, we're left with 36 characters available for each of the remaining 5 spots, leading to a total of

$5\cdot 36^5$

possible passwords.

So, the probability of event A, computed as the ratio between "good" cases and all possible cases, is

$\dfrac{5\cdot 36^5}{36^6}=\dfrac{5}{36}$

Event B works exactly the same, since we're fixing the last spot, leaving 36 characters available for each of the first 5 spots. So, we have

$P(A)=P(B)=\dfrac{5}{36}$

As for the intersection, we want the first character to be a vowel, and the last character to be an even digits. There are 25 passwords satisfying this request:

$axxxx0,\ axxxx2,\ axxxx4,\ axxxx6,\ axxxx8$

$exxxx0,\ exxxx2,\ exxxx4,\ exxxx6,\ exxxx8$

$ixxxx0,\ ixxxx2,\ ixxxx4,\ ixxxx6,\ ixxxx8$

$oaxxxx0,\ oxxxx2,\ oxxxx4,\ oxxxx6,\ oxxxx8$

$uxxxx0,\ uxxxx2,\ uxxxx4,\ uxxxx6,\ uxxxx8$

Where x can be any of the 36 characters.

So, we have 25 cases with 4 vacant slots, leading to a probability of

$P(A\cap B)=\dfrac{25\cdot 36^4}{36^6}=\dfrac{25}{1296}$

Finally, you can compute the probability of the union using the formula

$P(A\cup B)=P(A)+P(B)-P(A\cap B)$

Since we already computed all these quantities.

7 0

2 years ago

Write the inequality to represent the graph.

Liono4ka [1.6K]

Answer:

x > -1

Step-by-step explanation:

Open circle so the sign is not inclusive. The point is at -1 and goes to the right so it is more than.

7 0

3 years ago

Examples of how to reduce friction.

kkurt [141]

Answer:

the to objects go in the Same direction

Step-by-step explanation:

7 0

2 years ago

George and carmen went on a bicycle trip. They took a bus to their starting point, and then biked the rest. They traveled 350 mi

makkiz [27]

Complete question − How many kilometres did they travel by bus and by bicycle.

Answer:George and carmen traveled by bus in 135km and by bikein 215km

Step-by-step explanation:

Total Miles traveled = 350 miles

Let Number of kilometres they traveled with bus = x

and Let Number of kilometres they traveled with bike = x + 80

so that the total distance traveled with bus and bike be expressed as

x + x + 80 = 350 miles

2x + 80 = 350 miles

2x = 350 − 80

2x =270

x=135

George and Carmen traveled by bus in 135km

and by bicycle=x + 80 = 135 km + 80 =215km

3 0

3 years ago

Focusing on describing or explaining data versus going beyond immediate data and making inferences is the difference between ___

ch4aika [34]

Answer:

descriptive and inferential statistics.

Step-by-step explanation:

Science can be defined as a branch of intellectual and practical study which systematically observe a body of fact in relation to the structure and behavior of non-living and living organisms (animals, plants and humans) in the natural world through experiments.

In Statistics, sampling can be defined as a process used to collect or select data (objects, observations, or individuals) from a larger statistical population using specific procedures.

There are various types of sampling used by researchers and these are;

1. Random sampling.

2. Systematic sampling.

3. Stratified sampling.

4. Cluster sampling.

5. Opportunity or convenience sampling.

Focusing on describing or explaining data versus going beyond immediate data and making inferences is the difference between descriptive and inferential statistics because descriptive statistics focuses on describing or explaining data contained in a population or obtained as a sample while inferential statistics is solely based on drawing an inference from a sample or population.

7 0

2 years ago