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3 years ago

Write down in terms of n, an expression for the nth term

Mathematics

1 answer:

Scilla [17]3 years ago

3 0

Answer:

${ \bf{(a).}} \\ { \tt{ {n}^{th} = a + (n - 1)d }} \\ { \tt{ {n}^{th} = 6 + (n - 1) \times - 4 }} \\ {n}^{th} = 10 - 4n \\ \\ { \bf{(b).}} \\ { \tt{ {n}^{th} = - 8 + (n- 1) \times - 7 }} \\ { \tt{ {n}^{th} = -1 - 7n}}$

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On a ranch in Washington, a herd of cattle is moving due east at a rate of 3 kilometers per hour. One of the ranch hands is alre

torisob [31]

Answer:

About 1 hour and 16 minutes

Step-by-step explanation:

From the problem, we can think that the distance between them is narrowing 11 km/hr (8 + 3). Therefore, after one hour the herd and the ranch hand are 3 km apart. We can then use 11 km/hr from earlier, and get the answer of 1 hour and 3/11 of an hour, which is about 1 hour and 16 minutes.

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2 years ago

What is the y-intercept of y = -2x+6y=−2x+6?

goblinko [34]

Answer:

$6$

Step-by-step explanation:

Given: $y=-2x+6$

Since the equation is written in slope-intercept form, it is extremely easy to find the y-intercept. Slope-intercept form is written as:

$y=mx+b$

Whereas:

y: range

m: slope

x: domain

b: y-intercept

With that in mind, we can immediately tell that 6 is the y-intercept.

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3 years ago

Read 2 more answers

Anu bought an air cooler as shown below. Its water tank is in the shape of a cuboid and can take 40 litres of water. Its dimensi

Ksivusya [100]

Answer:

40 cm

Step-by-step explanation:

Using the conversion

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3 years ago

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MakcuM [25]

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3 years ago

An electronics company just finished designing a new tablet computer and is interested in estimating its battery-life. A random

Alika [10]

Answer:

$6 \pm 2.861(0.3354)$

Step-by-step explanation:

We have the standard deviation for the sample, so we use the t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 20 - 1 = 19

99% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 19 degrees of freedom(y-axis) and a confidence level of $1 - \frac{1 - 0.99}{2} = 0.995$ . So we have T = 2.861.

The margin of error is:

$M = T\frac{s}{\sqrt{n}} = 2.861\frac{1.5}{\sqrt{20}} = 2.861(0.3354)$

In which s is the standard deviation of the sample and n is the size of the sample.

The format of the confidence interval is:

$S_{M} \pm M$

In which $S_{M}$ is the sample mean

$6 \pm 2.861(0.3354)$

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3 years ago