Find the value of x in the given
1 answer:
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We need to know about the system of equations to solve such problems.
<h2 /><h2>Given to us </h2>- Sonji went to a sandwich shop for lunch with 8 of her friends.
- Part of the group ordered only a sandwich for $5, and the rest of the group ordered a combo for $8.
- The bill for all 9 people totaled $66.
Let's assume that the number of sandwiches ordered is x and the number of combos ordered is y.
<h2>Total Orders</h2>Given that the group of people was of 9 people, therefore, a total of 9 orders must be made.
Total number of orders = number of sandwiches ordered + number of combo ordered
total bill of the group
=(number of sandwiches ordered x cost of a sandwich ) + (number of combos ordered x cost of a combo)
Hence, we got the two equations of the system.
Learn more about system of equations:
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%].