The average cholesterol content of a 100-gram bar of a certain brand of butter is 215 mg with a standard deviation of 15 mg. If a sample of twenty-five 100-gram bars of butter is selected, find the probability that the sample mean is less than 220 mg. Assume that the variable is normally distributed.
Write the word continuous if the given function is continuous on each of the given intervals otherwise write the word not continuous f(x)=x+5/x^-9 a.(0,9] b.(-3,3)
Complex Sentences # 2 (15 marks)
Directions: Write “Dependent Clause” (DC) under the dependent clause and “Independent Clause” under the independent clause (IC). Circle the joining word between the sentences.
Example:
The mailman wouldn’t deliver our mail after my dog bit him in the leg.
IC (join. word) DC
1. Because we were all so tired, we decided to go home early.
2. Unless we do all of our homework, we won’t be able to play.
3. My dog waited at the door for us until we got home.
4. Although none of us wanted to leave, we had to be home before midnight.
5. If Charlie doesn’t stop teasing that dog, the dog is going to bite him.
6. We took pictures while the monkeys swung from the trees.
"As the price of domestic automobiles has inched upward, customers have found foreign autos to
be a better bargain. Consequently, domestic auto sales have been decreasing, and foreign auto sales
have been increasing." Using only the information in this quotation and assuming everything else
constant, which of the following best describes this statement?
(A) A shift in the demand curves for both domestic and foreign automobiles
(B) A movement along the demand curves for both foreign and domestic automobiles
(C) A movement along the demand curve for domestic autos, and a shift in the demand curve for
toreign autos
(D) A shift in the demand curve for domestic autos, and a movement along the demand curve for
foreign autos
Directions: Turn the compound sentences below into compound-complex sentences by adding the dependent clauses in parentheses.
6. Dependent Clauses: (when his parents came home)
(so we could have more fun)
The party ended, and we went to Tom’s house.
7. Dependent Clause: (until the people left the theater)
We bought our tickets, but we couldn’t go in.
8. Dependent Clause: (that went over the center field fence)
He hit a homerun, and the Dodgers won the game.
9. Dependent Clauses: (while I do my work) (when I get home)
You can play in the park, or you can go swimming.
10. Dependent Clauses: (so she’d be ready to win) (when she arrived at the field)
Tell Dolores to get enough rest and eat breakfast.
Question: A card is drawn from a standard deck. Find each of the following conditional probabilities, use the formulas and show your work.
a) The card is a queen, given it is a face card.
b) The card is a king, given that it is a spade.
c) The card is a spade, given that it is a king.
The results of a Nationwide aptitude test in mathematics are normally distributed with m=80 and s=15 what percentile rank of a score of 90
Directions: Turn the compound sentences below into compound-complex sentences by adding the dependent clauses in parentheses.
Example: Dependent Clauses: (Until I feel better) (Whenever I’m sick)
My mom makes chicken soup, and my dad reads to me.
1. Dependent Clause: (as soon as we arrived)
We went to the game, but it started to rain.
2. Dependent Clauses: (while the parents made punch) (once the party started)
The music was loud, and everyone danced.
3. Dependent Clauses: (when the students took their seats)
(which was in room 304)
The class started, and the teacher began to teach.
4. Dependent Clause: (if the weather is bad)
We’ll go camping, or we might stay in a hotel.
Two point charges are placed as follows: charge q1 = -1.50 nC is at y = +6.00 m and charge
q2 = +3.20 nC is at the origin. What is the total force (magnitude and direction) exerted by
these two charges on a negative point charge q3 = -5.00 nC located at (2.00 m, -4.00 m)?
“BLUE PINK”
Situation: A maternity hospital located at the heart of the city is providing nursery kit items for expectant mother clients. The common colors of these items are either pink (for female babies) or blue (for male babies). The hospital management’s concern is the number of each colored item they have to prepare to meet the demands of their clients. On the basis of the previous years’ experience, the management estimates that the probability that any one mother will have a female baby and will be using pink items is .60.
Task: Determine the probability distribution by completing the table from 20 mothers, with and .