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3 years ago

Write a recursive formula for the arithmetic sequence: 7,4,1,-2

2 answers:

3 0

A1 = 7
a(sub)n = a(sub)n-1 - 3

(sub) indicates the values touching the parenthesis are written as a subscript.

The above would be the recursive formula as you are taking the previous number and subtracting 3 to get the next number in the sequence.

telo118 [61]3 years ago

3 0

Answer:

N - 3

Step-by-step explanation:

It is a series of -3 so:

7 -3 = 4

4 - 3 = 1

1 - 3 = -2

So:

N-3

where N is the present value in the sequence.

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In a study, 42% of adults questions reported that their health was excellent. A researcher wishes to study the health of people

Vikki [24]

Answer: 0.0594

Step-by-step explanation:

Given : The population proportion of adults questions reported that their health was excellent : p = 0.42

Among the 14 adults randomly selected from this area, only 3 reported that their health was excellent.

i.e. Sample size : n= 14

$\mu=np = 14\times0.42=5.88$

$s=\sqrt{np(1-p)}=\sqrt{14(0.42)(1-0.42)}\approx1.85$

z-score : $z=\dfrac{{x}-\mu}{\sigma}$

Put x= 3

$z=\dfrac{3-5.88}{1.85}\approx-1.56$

Then, the probability that only 3 or fewer report having excellent health:-

$P(z\leq-1.56)=0.0593799\approx0.0594$

Hence, the required probability : 0.0594

8 0

3 years ago

University graduates have a mean job search time of 38.1 weeks, with a standard deviation of 10.1 weeks. The distribution of job

Lera25 [3.4K]

Answer:

7.1 weeks to 68.4 weeks

Step-by-step explanation:

Chebyshev's Theorem states that:

75% of the measures are within 2 standard deviations of the mean.

89% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 38.1

Standard deviation = 10.1

Between what two search times does Chebyshev's Theorem guarantee that we will find at least 89% of the graduates

Between 3 standard deviations of the mean.

So from 38.1 - 3*10.1 = 7.8 weeks to 38.1 + 3*10.1 = 68.4 weeks

5 0

3 years ago

Eloise is investing in a retirement account. She plans on adding an additional $50 at the end of every year and the expected mon

Lisa [10]

The accumulated (future) value is given by the formula
F=P(1+i)^n
where
P=amount of deposit (made at the beginning of the first period)
i=monthly interest, APR/12 = 3%/12 =0.0025
n=number of periods (month)

For example, the future value for the 6th month is
F(6)=1000(1.0025^6)=1015.09 (to the nearest cent)

Here is a schedule of the values,
i=month
F(i) = value at the end of month i.

i F(i)
0 1000.0
1 1002.5
2 1005.01
3 1007.52
4 1010.04
5 1012.56
6 1015.09
7 1017.63
8 1020.18
9 1022.73
10 1025.28
11 1027.85
12 1030.42 + $50 deposit = 1050.42
All values are rounded to the nearest cent.

6 0

3 years ago

Read 2 more answers

Does anyone know how to turn these into percents?? please help!!!!

crimeas [40]

In the picture find 15 and 20 the answer for 16) 3/2= 150%