together,sarah's two cats have the same mass as her dog,11 kg.the mass of one cat is 1500 g greater than the mass of the other.
1 answer:
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Answer:
90% confidence interval for the percent of the population who consider the death penalty to be "fair" is [54.4% , 61.6%].
Step-by-step explanation:
We are given that in October 2010, Gallup Poll asked 510 randomly sampled adults the question, "Generally speaking, do you believe the death penalty is applied fairly or unfairly in this country today?"
Of these, 58% answered "fairly", 36% said "unfairly" and 7% said they didn't know.
Firstly, the Pivotal quantity for 90% confidence interval for the population proportion is given by;
P.Q. = ~ N(0,1)
where, = sample proportion who answered death penalty "fair" = 58%
n = sample of adults = 510
p = population percentage
<em>Here for constructing 90% confidence interval we have used One-sample z test for proportions.</em>
<u>So, 90% confidence interval for the population percentage, p is ;</u>
P(-1.645 < N(0,1) < 1.645) = 0.90 {As the critical value of z at 5% level
of significance are -1.645 & 1.645}
P(-1.645 < < 1.645) = 0.90
P( <
<
) = 0.90
P( < p <
) = 0.90
<u>90% confidence interval for p</u> = [ ,
]
= [ ,
]
= [0.544 , 0.616]
Therefore, 90% confidence interval for the percent of the population who consider the death penalty to be "fair" is [54.4% , 61.6%].
Answer:
As you have written
Z Y = 3 X Y,
It means X, Y, Z are collinear points i.e they lie in the same line or line segment.
Locating points X, Y,Z on the line
Two possibilities are possible
1. First Z, then X and then Y on the line or line segment
→ Z X + Y X= Z Y
But Z Y = 3 X Y [ Given]
→ Z X + Y X = 3 X Y
→ Z X = 3 X Y - Y X
→ Z X = 2 X Y ⇒ which is not the result.
2. 2nd Possibility
First Z, then Y and then X on the line or line segment
→ Z X = Z Y + Y X
→ Z X= 3 X Y + Y X [Z Y=3 X Y→(given)]
→ Z X= 4 X Y , Which is the result.
Answer:
Step-by-step explanation:
Slope Formula:
Simply plug in the 2 coordinates into the slope formula to find slope <em>m</em>: