10:18 is an equivalent ratio.
Answer:
z-score = 1
Step-by-step explanation:
Given
Mean= μ=240
SD= σ=32
In order to find the z-score of a value, the mean is subtracted from the value and then divided by standard deviation.
The formula for z-score is:
z-score=(x-μ)/σ
Here x is the value whose z-score is to be found.
In the given question, x = 272
So,
z-score=(272-240)/32
=32/32
=1
So , the z-score for 272 is 1..
Reduce a 24 cm by 36 cm photo to 3/4 original size.
The most logical way to do this is to keep the width-to-height ratio the same: It is 24/36, or 2/3. The original photo has an area of (24 cm)(36 cm) = 864 cm^2.
Let's reduce that to 3/4 size: Mult. 864 cm^2 by (3/4). Result: 648 cm^2.
We need to find new L and new W such that W/L = 2/3 and WL = 648 cm^2.
From the first equation we get W = 2L/3. Thus, WL = 648 cm^2 = (2L/3)(L).
Solve this last equation for L^2, and then for L:
2L^2/3 = 648, or (2/3)L^2 = 648. Thus, L^2 = (3/2)(648 cm^2) = 972 cm^2.
Taking the sqrt of both sides, L = + 31.18 cm. Then W must be 2/3 of that, or W = 20.78 cm.
Check: is LW = (3/4) of the original 864 cm^2? YES.
Answer:-16<-13<-6<1<5<6<12
1
-16
12
Step-by-step explanation:
Answer:
Yes, this is a right triangle
Step-by-step explanation:
Plug the values into the pythagorean thm.
1.5^2 + 2^2 = 2.5^2
2.25+4=6.25
6.25=6.25
