Answer:
P-value ≈ 0.3463
Step-by-step explanation:
Hypothesis test would be
:p=0.20
:p>0.20
We need to calculate the z-score of sample proportion and then the corresponding P-value.
z-score can be calculated as:
z=
where
- p(s) is the sample proportion of specimens yield before the theoretical point (
)
- p is the proportion assumed under null hypothesis. (0.20)
- N is the sample size (40)
Using the numbers
z=
=0.3953
and the P-value is then P(z)≈0.3463
Answer:(x^2+y^2)^2=(x^2+y^2)(x^2+y^2)
Step-by-step explanation:
We can rewrite left side into right side form
(x^2+y^2)^2=(x^2+y^2)(x^2+y^2)
we can expand it
(x^2+y^2)^2=x^4+x^2y^2+x^2y^2+y^4
(x^2+y^2)^2=x^4+y^4+2x^2y^2
we can add and subtract 2x^2y^2
(x^2+y^2)^2=x^4+y^4+2x^2y^2+2x^2y^2-2x^2y^2
(x^2+y^2)^2=x^4-2x^2y^2+y^4+2x^2y^2+2x^2y^2
(x^2+y^2)^2=x^4-2x^2y^2+y^4+4x^2y^2
(x^2+y^2)^2=x^4-2x^2y^2+y^4+(2xy)^2
(x^2+y^2)^2=(x^2-y^2)^2+(2xy)^2
Claire is sharing a pizza with two other people. There is one quarter left of the pizza. How much will each person get.
Answer:
48 boys
Step-by-step explanation:
Since the ratio of Boys to Girls is 4/3, set this equal to X number of boys/36. Cross multiply so 36*4=144, and 3*x= 3x. So now you have 144=3x, divide by 3 to get x=48 boys.
A. albatross - blue jay = 3 1/2 - 39/100
================== (3*2)+1/2 - 39/100
================== 7/2 - 39/100
================== 311/100
================== 3.11
b. Golden eagle - seagull = 2 1/4 - 11/5
======================= (2*4)+1/4 - 11/5
======================= 9/4 - 11/5
======================= 1/20
======================= 0.05
