MATHEMATICS COLLEGE

A.In a family with eight children, what is the probability there are at least six boys?
(Hint: Add the three probabilities for either six, seven, or eight boys.)
0.00390625
b. 0.109375
C. 0.03125
d. 0.1445

Answers

Answer 1
Answer:

Answer:

There are many ways to solve this problem, here let's follow the hints

Probability of having exact 6 boys in 8 children:

8C6 x P(boys)^6 x P(girls)^2 = 8C6 x (1/2)^6 x (1/2)^2 =8C6 x (1/2)^8

Probability of having exact 7 boys in 8 children:

8C7 x P(boys)^7 x P(girls)^1 = 8C7 x (1/2)^7 x (1/2)^1 =8C6 x (1/2)^8

Probability of having exact 8 boys in 8 children:

8C8 x P(boys)^8  = 8C8 x (1/2)^8

Add these three, we have the solution

P = (8C6 + 8C7 + 8C8) x (1/2)^8 = (28 + 8 + 1) x (1/2)^8 = 0.1445

=> Option D is correct.

Note: 8C6, 8C7, 8C8 are combination notation.

Hope this helps!

:)
Answer 2
Answer:

Answer:

the answer is d

Step-by-step explanation:

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People who eat lots of fruits and vegetables have lower rates of colon cancer than those who eat little of these foods. Fruits and vegetables are rich in "antioxidants" such as vitamins A, C, and E. Will taking antioxidants help prevent colon cancer? A medical experiment studied this question with 864 people who were at risk of colon cancer. The subjects were divided into four groups: daily beta-carotene, daily vitamins C and E, all three vitamins every day, or daily placebo. After four years, the researchers were surprised to find no significant difference in colon cancer among the groups(a) What are the explanatory and response variables in this experiment?(b) Outline the design of the experiment. Use your judgment in choosing the group sizes.(c) The study was double-blind. What does this mean?(d) What does "no significant difference" mean in describing the outcome of the study?(e) Suggest some lurking variables that could explain why people who eat lots of fruits and vegetables have lower rates of colon cancer. The experiment suggests that these variables, rather than the antioxidants, may be responsible for the observed benefits of fruits and vegetables.

Sky needs $6700 for school and has two options. Option A: 5 years at 5% interest with monthly payments of $126.44 Option B: 6 years at 3.5% interest with monthly payments of $103.30 Calculate the total payback on each loan and calculate how much Sky will save by choosing option B.

Answers

Answer:

148.80

Step-by-step explanation:

Take 126.44 multiply by 60 months equals 7586.40

Take 103.30 multiply by 72 months equals 7437.60

Subtract 7437.60 from 7586.40

Final answer:

The total payback for Option A would be $7,586.4 and for Option B it would be $7,437.60. The difference of $148.8 indicates the savings Sky would have by choosing Option B over Option A.

Explanation:

Firstly, to calculate the total payback for each loan, you multiply the number of payments by the monthly payment amount. For Option A, that's 5 years times 12 payments per year, times a monthly payment of $126.44. Which gives us a total payback of 5 * 12 * 126.44 = $7,586.4. Next, calculate the payback for Option B in the same way: 6 years times 12 payments per year, times a monthly payment of $103.30. Which gives us 6 * 12 * 103.30 = $7,437.60.

Then, we subtract the total payback of Option B from that of Option A to find the savings: $7,586.4 - $7,437.60 = $148.8. So, by choosing option B, Sky would save $148.8.

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Jessie owns a hot dog stand and sells specialized hot dogs. He charges $1.50 for a plain hot dog and then an additional $0.50 for each topping that you want. This can be modeled by the equation C = .5x + 1.5, where C is the total cost of the hot dog and x is the number of toppings you ordered. The company that he buys his hot dogs from was having a sale so he was able to buy the hot dogs for less. He will now sell them for $0.25 less than before. What should be changed in the equation C = .5x + 1.5 to represent this?

Answers

1.5 would change to 1.25


(1.5- .25= 1.25)

Answer:

1.25

Step-by-step explanation:

30 points!!!!!A lawn sprinkler spins in a circle. The sprinkler covers a radius of 4 feet. Which choice is the closest to the area of lawn that the sprinkler can cover?

Answers

The area is about 50.27
Aarea of a circle equals pie r squared so 4 x 4= 16 and 16 x pie =50.27

Help me!, CERTAIN ANSWRS INLY I DONT UNDEDRSTNDDDDDD THANK YOU IN ADVance

Answers

Answer:

Initial temperature = 20° C

Temperature after 18 minutes = 4° C

Step-by-step explanation:

Function representing the relation in the temperature of the soda and time has been given as,

T(x) = -8+28e^(-0.045x)

Here x = number of minutes since the can was placed in the cooler

For initial temperature of the soda,

x = 0,

T(0) = -8+28e^((28* 0))

      = -8 + 28(1)

      = 20° C

For the temperature after 18 minutes,

x = 18,

T(18) = -8+28.e^(-0.045* 18)

       = -8+28.e^((-0.81))

       = -8+12.456

       = 4.456 C

       ≈ 4° C

Add (do not round): 10.6 + 6 + 2.09 =

Help please

Answers

The sum of 10.6, 6, and 2.09 is 18.69. The question asks to add the following numbers: 10.6, 6, and 2.09. Adding them together, you simply line up the decimal points and add each column from right to left.

Step 1: Add the numbers in the hundredths place: there are no hundredths in 10.6 or in 6, and there are 9 hundredths in 2.09. So, we simply write down .09.

Step 2: Add the numbers in the tenths place: there are 6 tenths in 10.6, no tenths in 6, and no tenths in 2.09. Combined, we have .60.

Step 3: Add the numbers in the ones place: there are 0 ones in 10.6, 6 ones in 6, and 2 ones in 2.09. Combined, we have 8.0.

Step 4: Add the tens place: there is 1 ten in 10.6, no tens in 6, and no tens in 2.09. We write down 10.

Finally, adding these components together (0.09+,60+8.0+10) we get the total of 18.69.

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Answer:

18.69

Step-by-step explanation:

Is 27.14159 rational or irrational

Answers

Answer:

It´s rational

Step-by-step explanation:

27,14159 = 2714159/100000

Rational
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