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Nesterboy [21]
2 years ago
11

Choose the system of equations that matches the following graph: picture of coordinate plane with line y equals negative 3x minu

s 2 and line y equals negative 5x minus 8. They intersect at negative 2, 2

Mathematics
1 answer:
goblinko [34]2 years ago
4 0
The two equations are:

equation 1: y = 3x -2 
equation 2: y = 5x - 8 

The two equations intersect at the point (3,7) in the first quadrant as shown in the graph.
The scale of the graph is :
x - axis : 1 unit = 5 units.
y - axis: 1 unit = 5 units


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A certain organization recommends the use of passwords with the following​ format: vowel commavowel, consonant comma consonant c
zimovet [89]

The password format is = inpray93

vowel , consonant, consonant, consonant, vowel, consonant, number, number.

There are 21 consonants, 5 vowels and 10 number choices (0-9)

Since, there are 21 consonants and repetition is allowed so for 2nd, 3rd, 4th, and 6th positions 21 choices are available. For 1st and 5th positions, 5 choices  are available and for 7th and 8th position there are 10 choices (0 to 9).

Passwords are not case sensitive which means upper case and lower case letters are same.

So, the number of passwords can be =

5\times21\times21\times21\times5\times21\times10\times10

= 486202500

Part (b) question is not given. But it can be opposite to the first part i.e when the password letters are case sensitive.

This means all the letters are different.

So, number of passwords will be =

10\times42\times42\times42\times10\times42\times10\times10

= 31116960000

4 0
3 years ago
In a football or soccer game, you have 22 players, from both teams, in the field. what is the probability of having at least any
Tamiku [17]

We can solve this problem using complementary events. Two events are said to be complementary if one negates the other, i.e. E and F are complementary if

E \cap F = \emptyset,\quad E \cup F = \Omega

where \Omega is the whole sample space.

This implies that

P(E) + P(F) = P(\Omega)=1 \implies P(E) = 1-P(F)

So, let's compute the probability that all 22 footballer were born on different days.

The first footballer can be born on any day, since we have no restrictions so far. Since we're using numbers from 1 to 365 to represent days, let's say that the first footballer was born on the day d_1.

The second footballer can be born on any other day, so he has 364 possible birthdays:

d_2 \in \{1,2,3,\ldots 365\} \setminus \{d_1\}

the probability for the first two footballers to be born on two different days is thus

1 \cdot \dfrac{364}{365} = \dfrac{364}{365}

Similarly, the third footballer can be born on any day, except d_1 and d_2:

d_3 \in \{1,2,3,\ldots 365\} \setminus \{d_1,d_2\}

so, the probability for the first three footballers to be born on three different days is

1 \cdot \dfrac{364}{365} \cdot \dfrac{363}{365}

And so on. With each new footballer we include, we have less and less options out of the 365 days, since more and more days will be already occupied by another footballer, and we can't have two players born on the same day.

The probability of all 22 footballers being born on 22 different days is thus

\dfrac{364\cdot 363 \cdot \ldots \cdot (365-21)}{365^{21}}

So, the probability that at least two footballers are born on the same day is

1-\dfrac{364\cdot 363 \cdot \ldots \cdot (365-21)}{365^{21}}

since the two events are complementary.

8 0
2 years ago
How do you find the surface area of a regular pyramid
givi [52]
Just times everything like if you had

Lenght-3
widght-4
you times them so

3 x 4 = 12

so your answer would be 12 your area is 12

hope that helped you!

7 0
3 years ago
Find the exact value in the picture above
fomenos

Answer:

A and B

Step-by-step explanation:

You can take a look at a unit circle to find the solution to this problem (see below).

\cos^{-1}\left( \dfrac{\sqrt{2}}{2} \right)= \\\\\\\pm \dfrac{\pi}{4}= \\\\\\\dfrac{\pi}{4}, \dfrac{7\pi}{4}

Hope this helps!

7 0
2 years ago
A salesperson at a jewelers store earns 5% commission each week. Last week, heidi sold $530 worth of jewelry. How much did she m
V125BC [204]

Answer:

the salesperson earned 5% which is; $26.5 then subtract 26.5 from the total made to find out how much the store made which is: $503.5

Step-by-step explanation:

5 0
2 years ago
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