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3 years ago

What is the 33th term of the arithmetic sequence 9.4, 10.6, 11.8, 13,

1 answer:

3 0

A(1) = 6 = d + c

a(4) = 33 = 4d + c 

3d = 27=> d=9 

c = -3 

a(2) = 9(2) - 3 = 15 

a(3) = 15 + 9 = 24

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A box of Georgia peaches has 3 bad and 12 good peaches. (a) If you make a peach cobbler of 12 peaches randomly selected from the

Eddi Din [679]

Answer:

a) 0.21% probability that there are no bad peaches in the peach cobbler.

b) 99.79% probability of having at least 1 bad peach in the peach cobbler

c) 7.91% probability of having exactly 2 bad peaches in the peach cobbler.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The order in which the peaches are chosen is not important. So the combinations formula is used to solve this question.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

(a) If you make a peach cobbler of 12 peaches randomly selected from the box, what is the probability that there are no bad peaches in the peach cobbler?

Desired outcomes:

12 good peaches, from a set of 12. So

$D = C_{12,12} = \frac{12!}{12!(12 - 12)!} = 1$

Total outcomes:

12 peaches, from a set of 15. So

$T = C_{15,12} = \frac{15!}{12!(15 - 12)!} = 455$

Probability:

$p = \frac{D}{T} = \frac{1}{455} = 0.0021$

0.21% probability that there are no bad peaches in the peach cobbler.

(b) What is the probability of having at least 1 bad peach in the peach cobbler?

Either there are no bad peaches, or these is at least 1. The sum of the probabilities of these events is 100%. So

p + 0.21 = 100

p = 99.79

99.79% probability of having at least 1 bad peach in the peach cobbler

(c) What is the probability of having exactly 2 bad peaches in the peach cob- bler?

Desired outcomes:

2 bad peaches, from a set of 3.

One good peach, from a set of 12.

$D = C_{3,2}*C_{12,1} = \frac{3!}{2!(3-2)!}*\frac{12!}{1!(12 - 1)!} = 36$

Total outcomes:

12 peaches, from a set of 15. So

$T = C_{15,12} = \frac{15!}{12!(15 - 12)!} = 455$

Probability:

$p = \frac{D}{T} = \frac{36}{455} = 0.0791$

7.91% probability of having exactly 2 bad peaches in the peach cobbler.

3 0

3 years ago

According to a company's website, the top 15% of the candidates who take the entrance test will be called for an interview. You

galben [10]

Answer:

The minimum score required for an interview is 77.252

Step-by-step explanation:

We solve this using z score formula

z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.

Top 15% of the candidates is a ranking that is equivalent to = 100 - 15% = 85th percentile.

The z score of 85th percentile = 1.036

Mean = 70

Standard Deviation = 7

Minimum score = raw score = ???

Hence:

1.036 = x - 70/7

Cross Multiply

1.036 × 7 = x - 70

7.252 = x - 70

x = 70 + 7.252

x = 77.252

The minimum score required for an interview is 77.252

6 0

3 years ago

Help ? Pls ???????? Don’t know

Anni [7]

Answer:

y=-3x+7

Step-by-step explanation:

y=mx+b is the formula you are going to end up once completed.

This, by given two points:

(4,-5) (3,-2)

$\frac{-2-5}{3-4}$ = Point-Slope Intercept Form

$\frac{3}{-1}$ = After subtracting both from above

-3 = is your slope, decreasing.

Substitute -3 for y=mx+b

y=-3x+b

Use one of the given points (any) to find what b equals.

(4,-5)

x y

-5=-3(4)+b

-5= -12+b

7=b

Final Equation:

y=-3x+7

5 0

3 years ago

Read 2 more answers

after five days in her new job, karen has $800 in her bank account. if she is adding exactly $50 to her account each day, when w

Colt1911 [192]

Answer:

After 4 more days

Step-by-step explanation:

The remaining amount of money needed to reach the goal is $200 this is because 1000-800=200

Now we divide the 200 by the amount Karen earns a day

200/50=4

That means after 4 more days Karen will have $1000

8 0

3 years ago

Help me please I need it

koban [17]

Unfortunately, you inadvertently cut off the instructions for this problem when you photographed it. Could you try again, making certain to include the instructions?

Let me guess: perhaps the instructions are 1) determine the slope of the line passing through the given points, or 2) write the equation of the line passing through the given points.

5 0

3 years ago