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slamgirl [31]
3 years ago
6

List the integers that satisfy both these inequalities, 2x+9 -12

Mathematics
1 answer:
Flura [38]3 years ago
4 0

Answer:

x < -10.5

Step-by-step explanation:

list the integers that satisfy both these inequalities, 2x+9 <-12

Subtract 9 from  both sides;

2x +9 - 9 < -12-9

2x < -21

x < -21/2

x < -10.5

<em>Hence all the integers are values of x less than 10.5</em>

<em></em>

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If the heights of 300 students are normally distributed with mean 68.0 inches and standard deviation 3.0 inches, how many studen
Lunna [17]
Given:
μ = 68 in, population mean
σ = 3 in, population standard deviation

Calculate z-scores for the following random variable and determine their probabilities from standard tables.

x = 72 in:
z = (x-μ)/σ = (72-68)/3 = 1.333
P(x) = 0.9088

x = 64 in:
z = (64 -38)/3 = -1.333
P(x) = 0.0912

x = 65 in
z = (65 - 68)/3 = -1
P(x) = 0.1587

x = 71:
z = (71-68)/3 = 1
P(x) = 0.8413

Part (a)
For x > 72 in, obtain
300 - 300*0.9088 = 27.36

Answer: 27

Part (b)
For x ≤ 64 in, obtain
300*0.0912 = 27.36

Answer: 27

Part (c)
For 65 ≤ x ≤ 71, obtain
300*(0.8413 - 0.1587) = 204.78

Answer: 204

Part (d)
For x = 68 in, obtain
z = 0
P(x) = 0.5
The number of students is
300*0.5 = 150

Answer: 150

3 0
3 years ago
A rectangle basin is being filled with water. The basin is 7 feet long, 12 feet wide, and 4 feet high. How much water is going t
stira [4]
In this problem your going to need to find volume.

The formula for volume of a rectangular prism (Which is what we are trying to find)

Is Volume = Length x Height x Width

So in your problem we can create the equation:
7 x 4 x 12 = Your answer.

7 x 4 = 28
28 x 12 = 336.

Your going to need 336 feet^3 (D)

Hope this helps!
Brainliest is always appreciated if you feel its deserved.

4 0
3 years ago
For f(x)= 3x+1 and g(x)= x^2-6, find (g/f)(x).
o-na [289]
D. The exclusion is important because we cannot divide by zero. Apart from that we are simply looking at a function. 
4 0
3 years ago
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What is 4% converted to decimal
kenny6666 [7]
0.04, just divide 4 by 100
6 0
3 years ago
If a and b are positive, then a-b is positive identify the conclusion of the statement
Elanso [62]

Answer:

The statement is wrong. a-b can be positive but not always.

Step-by-step explanation:

There can be three possible situations that are:

  1. a>b
  2. a<b
  3. a=b

Now taking first condition, the result will be positive because a smaller integer is subtracted from a greater one. Such as 5-2=3

In second condition, the result will be negative because a greater integer is subtracted from smaller one. Such as 2-5= -3

In the third condition, the result will always  be zero because both the integers will cancel each other. Such as 5-5=0

6 0
3 years ago
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