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garri49 [273]
3 years ago
9

Which values are solutions to the inequality -3x-4<2?

Mathematics
2 answers:
Lesechka [4]3 years ago
5 0

Step-by-step explanation:

-3x - 4 < 2

-3x < 2 + 4

-3x < 6

x < 6/ - 3

x < - 2

nlexa [21]3 years ago
5 0

Answer:

0

Step-by-step explanation:

im just here to help haha

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Five men and 5 women are ranked according to their scores on an examination. Assume that no two scores are alike and all 10! pos
m_a_m_a [10]

Answer:

P(X=1)=\frac{1}{2}\\P(X=2)=\frac{5}{18}\\P(X=3)=\frac{5}{36}\\P(X=4)=\frac{5}{84}\\P(X=5)=\frac{5}{252}\\P(X=6)=\frac{1}{252} \\P(X>6)=0

Step-by-step explanation:

Let's define the following event :

X : ''Highest ranking achieved by a woman''

There are five men and five women so the lowest ranking possible is 6, this means that all five men achieved a better ranking than all five women.

In terms of the variable :

X can assume the following values :

X=1\\X=2\\X=3\\X=4\\X=5\\X=6

⇒ P(X=7)=0\\P(X=8)=0\\P(X=9)=0\\P(X=10)=0

⇒ P(X>6)=0

Now let's calculate the probability function for X

P(X=1)=\frac{(5)(9!)}{(10!)}=0.5=\frac{1}{2}

We write on the denominator the total ways to arrange ten different persons in a line. This number is 10!

On the numerator we write the total cases in which the first person is a woman ⇒ (5).(9!)

Because they are five different women and when you pick one of then they are 9! ways to arrange the 9 remaining persons

Following this logic, we continue calculating the probability function :

P(X=2)=\frac{(5)(5)(8!)}{(10!)}=\frac{5}{18}

Again : Five different ways to choose between the five men in the first position.Then, 5 different ways to choose between the five women.And finally, 8! ways to arrange the remaining persons

P(X=3)=\frac{(5)(4)(5)(7!)}{(10!)}=\frac{5}{36}

Here we have : five different ways to choose between five men.Four different ways to choose between the four remaining men.Five different ways to choose between the five women for the third position and finally 7! ways to arrange the remaining persons.

P(X=4)=\frac{(5)(4)(3)(5)(6!)}{(10!)}=\frac{5}{84}

P(X=5)=\frac{(5)(4)(3)(2)(5)(5!)}{(10!)}=\frac{5}{252}

P(X=6)=\frac{(5)(4)(3)(2)(1)(5)(4!)}{(10!)}=\frac{1}{252}

3 0
3 years ago
Help completing the square please?
Mandarinka [93]
X^2 - 20x = 10
x^2 - 20x + 100 = 10 + 100
(x - 10)^2 = 110

Answer:
First box : 100
Second box: 110

Hope it helps
8 0
3 years ago
Read 2 more answers
​A person overcharges his bank account by spending the same amount of money each day. After five days of overcharging his bank a
sammy [17]

Answer:

20

Step-by-step explanation:

Why? because 100$ in 5 days is he spent the same much each day then it's 20 because 20 x 5=100

20 x 1=20

20 x 2=40

20 x 3=60

20 x 4=80

20 x 5=100

5 0
2 years ago
A vertical radio tower is 645 feet high above level ground. How far would you need to be from the base of the tower so that the
WITCHER [35]

Answer:

921.165 feet

Step-by-step explanation:

Ok we are looking for the length of the base.

Now let's take the question and picture it as a triangle, we will find out that it looks like a right angle triangle.

The height= 645 feet

Angle of elevation= 35°

Base is unknown

To find the base

We recall that tan of angle

= opposite/adjacent

In this case

Angle= 35°

Opposite= height= 645

Adjacent= base

Tan 35 = 645/adj

Adj =645/tan 35

Adj =645/0.7002

Adj = 921.165

The base is 921.165 feet

8 0
3 years ago
4x + 1 = 2x – 5 can someone help me. Whoever gets it right gets it right gets brainliest
castortr0y [4]

Answer:

x=-3

Step-by-step explanation:

subtract "2x" to "4x + 1" and that'll leave -5 by itself and leave 2x+1 on the left and -5 on the right then subtract -1 to -5 and it'll add up to -6 then after that you'd divide 2x to -6 and get -3 and it'll leave 'x' by itself so therefore X = -3

3 0
3 years ago
Read 2 more answers
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