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4 years ago

Write a formula to describe the sequence

Mathematics

1 answer:

Dominik [7]4 years ago

8 0

Answer:

Step-by-step explanation:

A(n) = 1 - 0.1(n-1)

A(1) = 1- 0.1*(1-1) = 1 - 0.1*0 = 1

A(2) = 1- 0.1*(2-1) = 1 - 0.1*1 = 1- 0.1 = 0.9

A(3) = 1 - 0.1(3-1) = 1 - 0.1*2 = 1-0.2=0.8

Method:

A(1)=1

D = A(2)-A(1) = 0.9 - 1 = -0.1

A(n) = A(1)+(n-1)*d = 1 + (n-1)*(-0.1)

= 1 - 0.1(n -1)

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What is 16/24 in simplest form?

ioda

It’s 2/3. 16/24 would be divided by 2 and would be changed into 8/12. Divide it by 2 again, and you’ll get 4/6. Then divide again, 2/3.

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3 years ago

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Based on past experience, a bank believes that 13% of the people who receive loans will not make payments on time. The bank has

g100num [7]

Answer:

The sample proportion mean and standard deviation are

$\mu=p=0.13\\\\\sigma=\sqrt{\frac{p(1-p)}{N} }= \sqrt{\frac{0.13*0.87}{500} }=0.015$

With reasonable assumptions about the sample, all the conditions are met.

The probability that over 16% of these clients will not make timely payments is P=0.023.

Step-by-step explanation:

We have a sample of 500 loans, of which a proportion of p=0.13 is expected to not be paid on time.

The sample proportion mean and standard deviation are

$\mu=p=0.13\\\\\sigma=\sqrt{\frac{p(1-p)}{N} }= \sqrt{\frac{0.13*0.87}{500} }=0.015$

The assumptions underlying this model are:

- The sample is randomly selected from the population.

- The sampling distribution of p-hat is approximately normal. There are at least 10 successes and 10 failures in the sample.

- Individual observations are independent of each other.

With reasonable assumptions about the sample, all the conditions are met.

What is the probability that over 16% of these clients will not make timely payments?

$z=\frac{x-\mu}{\sigma} =\frac{0.16-0.13}{0.015}=\frac{0.03}{0.015}=2\\\\P(p>0.16)=P(z>2)=0.023$

The probability that over 16% of these clients will not make timely payments is P=0.023.

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3 years ago

23) A ball is launched into the air. The function h=-16 +126 gives the height of the

Paul [167]

The equation is missing 't' terms. The correct equation is:

$h=-16t^2+126t$

Answer:

(a) 248.06 ft

(b) 7.875 s

Step-by-step explanation:

Given:

Height of ball in air above ground is given as:

$h=-16t^2+126t$

(a)

At maximum height, the speed of the ball is 0 momentarily. Speed is nothing but rate of change of height which is the first derivative of height with time. Therefore,

At maximum height:

Speed = 0

$h'=0\\-16(2t)+126=0\\-32t+126=0\\32t=126\\t=\frac{126}{32}=3.9375\ s$

Now, maximum height is obtained by plugging in $t=3.9375$ . Thus,

$h_{max}=-16(3.9375)^2+126(3.9375)\\h_{max}=-248.0625+496.125=248.0625\ ft$

Therefore, the maximum height of the ball is 248.06 ft. (Rounded to nearest hundredth)

(b)

Now, total time of travel of the ball is the sum of time taken to reach maximum height and the time taken from maximum height to the bottom.

Also, time taken for upward journey would be same as that of downward journey. Therefore, total time taken is twice that of the upward journey.

We have,

Time to reach maximum height, $t = 3.9375\ s$

Therefore, total time the ball was in air = $2(t)=2\times 3.9375=7.875\ s$

Hence, the ball was in the air for 7.88 s. (Rounded to nearest hundredth)

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3 years ago

Find the area of a rectangle with side lengths 3/5 inch and 5/6 inch

Helga [31]

Answer:

15/30 0r 1/2

Step-by-step explanation:

You multiply the fractions

8 0

3 years ago

Using a 5% level of significance and a sample size of 25, what is the critical t value for a null hypothesis, H0: µ ≤ 100? Selec

nadezda [96]

Answer:

D. 2.064

Step-by-step explanation:

Number of sample (n) = 25, degree of freedom = n - 1 = 25 - 1 = 24, significance level = 0.05

The critical t value corresponding to 24 degrees of freedom and 0.05 significance level is 2.064

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3 years ago

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