Answer:
x<585.55 is the answer mate
Answer:I got 33 and 34
Explanation:
Call your integers n and n+1 we get:
n+n+1= 67
rearrange:
2n = 66
n=66/2 = 33
The integers will be 33 and 34
Answer:
The minimum volume of hot air needed to lift a hot air balloon carrying 800kg
Is 653.1m³
Step-by-step explanation:
This problem bothers on the density of materials in this problem air
Given data
Volume of air V=?
Mass of air m= 800kg
From tables the density of air is
ρ =1.225 kg/m3
Now to solve for the volume we have
ρ=m/v
v=m/ρ
v=800/1.225
Volume v = 653.1m³
Answer:
And we can find this probability using the normal standard distribution and we got:
Step-by-step explanation:
For this case we have the foolowing parameters given:
represent the mean
represent the standard deviation
the sample size selected
And for this case since the sample size is large enough (n>30) we can apply the central limit theorem and the distribution for the sample mean would be given by:
And we want to find this probability:
We can use the z score formula given by:
And we can find this probability using the normal standard distribution and we got:
Answer:
x = - 1/2
Step-by-step explanation:
-3(x-4) = -9(x - 1)
1. Distributive Property
-3 * x -3 *-4 = -9 * x -9 * -1
-3x + 12 = -9x + 9
Hint: 2 negatives make a postive
-3x + 12 = -9x + 9
2. Subtract 12 on both sides
-3x + 12 - 12 = -9x + 9 - 12
-3x = -9x + -3
3. Add 9x on both sides
-3x + 9x = -9x + 9x + -3
6x = -3
4. Divide both sides by 6 to isolate the variable
6x/6 = -3/6
x = - 1/2
Check:
-3(-1/2-4) = -9( -1/2- 1)
3/2 + 12 = 9/2 + 9
3/2 + 12 ( we need a common denominator so...lets make it 2 )
3/2 + 12*2/1*2
3/2 + 24/2 = 27/2 = 13 1/2 = 13. 5
Now...
9/2 + 9 ( we need a common denominator so..lets make it 2 )
9/2 + 9*2/1*2
9/2 + 18/2 = 27/2 = 13 1/2 = 13.5
13.5 = 13.5 CORRECT!
27/2 = improper fraction
13 1/2 = mixed number
13.5= decimal form
Hope this helped
