MATHEMATICS COLLEGE

Craig won first prize in Mrs. Short's classso he gets to pick a prize from the treasure

box. He doesn't know what he wants, so

he is going to chose randomly. There are 77

different gift card prizes: fast food, ice cream,

CD's, DVD's, movies, the mall and Carowinds.

If there is an equal number of each card in

the box, what is the probability he will pull out

the gift card for Carowinds?

Answers

Answer 1
Answer:

Answer:

1/11

Step-by-step explanation:

There are 7 gift card options so that makes it 7/77 which simplified is 1/11
Answer 2
Answer:

Answer:

11

Step-by-step explanation:

So we know there are 77 different gift card prizes as stated.

You'd want to divide 77 and how many there is which is 7.

You'll end up with 11.

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An ABC News poll asked adults whether they felt genetically modified food was safe to eat. Thirty-five percent felt it was safe, 52% felt it was not safe, and 13% had no opinion. A random sample of 120 adults was asked the same question at a local county fair. Forty people felt that genetically modified food was safe, 60 felt that it was not safe, and 20 had no opinion. At the 0.01 level of significance, is there sufficient evidence to conclude that the proportions differ from those reported in the poll
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I need help please ​
B(n)=2^n A binary code word of length n is a string of 0's and 1's with n digits. For example, 1001 is a binary code word of length 4. The number of binary code words, B(n), of length n, is shown above. If the length is increased from n to n+1, how many more binary code words will there be? The answer is 2^n, but I don't get how they got that answer. I would think 2^n+1 minus 2^n would be 2. Please help me! Thank you!

Suppose we have collected times, in minutes, that it takes volunteers to complete a set of pencil and paper mazes. Volunteers are randomly assigned to one of two groups. Group 1 watch a 5 minute video explaining good strategies for completing the mazes. Group 2 watch a 5 minute video of other people successfully completing the mazes, but with no explanation given.Researchers are interested in testing against the null hypothesis that there is no difference in population mean times that it takes people to complete mazes after watching either type of video.There are the summary statistics after collecting data. Note that the sample sizes differ, because some subjects did not follow instructions correctly and so they were not included in the analysis.x1 = 11.98, x2 = 9.15s1 = 8.69, s2 = 7.75n1 = 43, n2 = 52a. Is this an experimental or observational study?

Answers

Answer:

Is an experimental study

Step-by-step explanation:

In an observational study you don't control any aspect of the investigation you just observe the variables that you determined since the beginning without any intervention.

In this case you are controlling who sees one or the other video, then you are controlling one of the variables that is the type of video each group sees and because of this it is an experimental study. Researchers designed an experiment to prove the null hypothesis they had.

A fisherman uses a spring scale to weigh a tilapia fish. He records the fish weight as a kilograms and notices that the spring stretches b centimeters. Which expression represents the spring constant (1 =9.8 )? A). 980ab B). 9.8ab C). 9.8ab D). 980ab

Answers

Answer:

k = (980a)/(b)

Step-by-step explanation:

Fisherman noticed a stretch in the spring = 'b' centimetres

Weight of the fish = a kilograms

If force applied on a spring scale makes a stretch in the spring then Hook's law for the force applied is,

F = kΔx

Where k = spring constant

Δx = stretch in the spring

F = weight applied

F = mg

Here 'm' = mass of the fish

g = gravitational constant

F = a(9.8)

  = 9.8a

Δx = b centimetres = 0.01b meters

Therefore, 9.8a = k(0.01b)

k = (9.8a)/(0.01b)

k = (980a)/(b)

Therefore, spring constant of the spring will be determined by the expression, k = (980a)/(b)

Find the amount of the discount on a $120 bicycle that is on sale for 25% off.

Answers

The discount is 30 dollars I believe.
it is $30 off. 25% of $120 is 30.

A birthday cake was cut into equal pieces, and 10 pieces were eaten. Thefraction below shows how much cake was left over. According to the fraction,
into how many pieces was the cake cut?
1
11
A. 1
B. 10
C. 21
O D. 11
TO

Answers

The answer is D, 11.

A student committee of 4 is formed by randomly drawing people (without replacement) from a collection of 4 sophomores, 4 juniors and 3 seniors. What is the probability the committee thus formed will have at least one representative from all three groups of students?

Answers

Answer: 0.04848

Step-by-step explanation:

Given : There are 4 sophomores, 4 juniors and 3 seniors.

Total choices = 4+4+3 = 11

Number of people needed to be chosen for committee = 4

Number of ways to select 3 people out of 11 (without replacement)=  ^(11)P_4

=(11!)/((11-4)!)\ \ \ \ [^nP_r=(n!)/((n-r)!)]

=(11*10*9*8*7!)/(7!)\n\n= 7920

 

 

Number of ways to select at least one representative from all three groups of students =  ^4P_2* ^4P_1* ^3P_1+^4P_1* ^4P_2* ^3P_1+^4P_1* ^4P_1* ^3P_2

=(4!)/(2!)*4*3+4(4!)/(2!)*3+4*4*(3!)/(2!)\n\n= 144+144+96=384

Required probability = (384)/(7920)=0.04848

Hence, the probability the committee thus formed will have at least one representative from all three groups of students = 0.04848

 

 

Latex paint sells for $27 per gallon and will cost you $270 to paint your room. If each gallon will cover 350 square feet, how many square feet of wall space do you have in your room?

Answers

Answer:

3500

Step-by-step explanation:

(270/27)× 350= 10 x 350
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