Answer:
45 horseshoe crabs and 45 sea stars
Step-by-step explanation:
The aquarium initially contained x crabs and x sea stars.
"After 15 horseshoe crabs and 27 sea stars are removed the ratio of horseshoe crabs to sea stars is 5:3"
(x-15):(x-27) = 5:3
(x-15)/(x-27) = 5/3
3(x-15) = 5(x-27)
3x-45 = 5x-135
90 = 2x
x = 45
Answer: 101.69
Step-by-step explanation:
Formula we use to find the z-score :-
(1)
Given : ![\mu=90](https://tex.z-dn.net/?f=%5Cmu%3D90)
![\sigma=7](https://tex.z-dn.net/?f=%5Csigma%3D7)
Daniel's z score : z= 1.67
Let x be the raw score for Daniel's exam grade, then substitute the values of
in (1), we get
![1.67=\dfrac{x-90}{7}\\\\\Rightarrow\ x-90=7\times1.67\\\\\Rightarrow\ x=11.69+90=101.69](https://tex.z-dn.net/?f=1.67%3D%5Cdfrac%7Bx-90%7D%7B7%7D%5C%5C%5C%5C%5CRightarrow%5C%20x-90%3D7%5Ctimes1.67%5C%5C%5C%5C%5CRightarrow%5C%20x%3D11.69%2B90%3D101.69)
Hence, the raw score for Daniel's exam grade = 101.69
I do not think we need to rewrite the first two numbers in the given above because they are already the simplest forms of themselves being whole numbers. However, the third number may be rewritten as 1/2 by dividing both numerator and denominator by 5 and the last one as 2/25 by dividing both numerator and denominator by 4.
Answer:
the third one
Step-by-step explanation: