Answer:
- proportional: A, B, D, G, I
- non-proportional: C, E, F, H
Step-by-step explanation:
Any relation with a non-zero initial value or y-intercept is non-proportional. Any relation that has a constant ratio between output and input is proportional.
C has an initial value of 7
E has a y-intercept of -3
F has an initial value of 2.00
H has an initial value of 5
All of these are non-proportional. The remainder are proportional.
The percentage of boys 16- to 17-years-old who wear a size 11 shoe or larger is 3.59%.
<u>Step-by-step explanation:</u>
Step 1: Sketch the curve.
The probability that X>27.9 is equal to the blue area under the curve.
Step 2:
Since μ=25.2 and σ=1.5 we have:
P ( X > 27.9 ) = P ( X−μ > 27.9−25.2 )
⇒ P ( X−μ/σ > 27.9−25.2/1.5)
Since Z=x−μσ and 27.9−25.21.5=1.8 we have:
P ( X>27.9 )=P ( Z>1.8 )
Step 3: Use the standard normal table to conclude that:
P (Z>1.8)=0.0359
Percentage = %
Therefore , The percentage of boys 16- to 17-years-old who wear a size 11 shoe or larger is 3.59%.
Answer:
x = 15
LN and MO both equal 43
Step-by-step explanation:
LN and MO are diagonals in rectangle
Diagonals of a rectangle are congruent Hence, 4x - 17 = 2x + 13
Now we solve for x
4x - 17 = 2x + 13
Add 17 to both sides
4x = 2x + 30
Subtract 2x from both sides
2x = 30
Divide both sides by 2
x = 15
Now we want to find the values of LN and MO
To do so we substitute 15 for x in it's given expression ( note: because LN = MO we only need to do this process once )
LN = 4x - 17
Substitute 15 for x
4(15) - 17
Multiply
60 - 17
Subtract
LN and MO = 43
Answer:
the 99% confidence interval for the true mean number of mosquitos caught in all mosquito traps is ( 667.81, 732.19 )
Step-by-step explanation:
Given the data in the question;
sample mean x' = 700
sample size n = 64
the standard deviation σ = 100
99% confidence interval for the true mean number of mosquitos caught in all mosquito traps = ?
significance level ∝ = 1 - 99% = 1 - 0.99 = 0.01
∝/2 = 0.01 / 2 = 0.005
Z-critical = 2.575 { from table }
So, to get the 99% confidence interval;
⇒ x' ± ( σ / √n )
we substitute
⇒ 700 ± 2.575 ( 100 / √64)
⇒ 700 ± 2.575( 12.5 )
⇒ 700 ± 32.1875
⇒ ( 700 - 32.1875 ), ( 700 + 32.1875 )
⇒ ( 667.81, 732.19 )
Therefore, the 99% confidence interval for the true mean number of mosquitos caught in all mosquito traps is ( 667.81, 732.19 )