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3 years ago

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Mathematics

1 answer:

navik [9.2K]3 years ago

5 0

Answer: a) add n+1 to the previous term

b) add the previous two terms

d) subtract n+1 from the previous term

e) multiply the previous term by 3

f) subtract 2 from previous term then add 5 to the next term

<u>Step-by-step explanation:</u>

a) 1, 3, 6, 10

∨ ∨ ∨

+2 +3 +4 The next term is 10 +5 = 15

b) 1, 2, 3, 5

∨ ∨ ∨

=3 =5 =8 The next term is 5 + 8 = 13

d) 8, 7, 5, 2

∨ ∨ ∨

-1 -2 -3 zThe next term is 2 - 4 = -2

e) 1, 3, 9, 27

∨ ∨ ∨

×3 ×3 ×3 The next term is 27 × 3 = 81

f) 49, 47, 52, 50, 55

∨ ∨ ∨ ∨

-2 +5 -2 +5 The next term is 55 - 2 = 53

The following term is 53 + 5 = 58

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<em>never </em>because they are continually increasing at the same rate without multiplying and dividing

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When a number is tripled and 8 is subtracted from the result the answer is 16 what is the number

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Read 2 more answers

I need help bc I keep getting confused

umka2103 [35]

Answer:

6 3/4 (six and three fourths)

Step-by-step explanation:

First, we must turn 4 6/7 into an improper fraction, AKA 28/7. Now, you can't subtract 1/4 from 28/7, can you? So what you need to do is find the greatest common factor of 4 and 7. The GCF would be 28 (7 x 4 = 28, 4 x 7 = 28).

Now we know that the GCF is 28, we can turn the numbers into 28/28 and 1/28. But wait! We aren't done yet. Now we have to change the numerators. Since you multiplied the denominator (7) by 4 to get 28, you must now multiply 28 by 4 as well. (If you do something to the bottom, you have to do it to the top!) Because of this, we are now at 196/28.

Next, we must do the numerator of 1/28. Since we multiplied the denominator (4) by 7 to get 28, we must now multiply 1 by 7. This gets you to 7/28.

It's finally time to subtract. 196 - 7 is 184, so we are at 184/28. But hey, that's an improper fraction! You have to simplify. 184 divided by 28 is 6.75. 0.75 is 3/4 when turned into a fraction.

Mash 6 and 3/4 together, and you've got your answer! 6 3/4.

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3 years ago

The proprietor of a boutique in New York wanted to determine the average age of his customers. A random sample of 25 customers r

jolli1 [7]

Answer:

$28-2.064\frac{10}{\sqrt{25}}=23.872$

$28+2.064\frac{10}{\sqrt{25}}=32.128$

So on this case the 95% confidence interval would be given by (23.9;32.1)

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X=28$ represent the sample mean

$\mu$ population mean (variable of interest)

s=10 represent the sample standard deviation

n=25 represent the sample size

Solution to the problem

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=25-1=24$

Since the Confidence is 0.95 or 95%, the value of $\alpha=0.05$ and $\alpha/2 =0.025$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.025,24)".And we see that $t_{\alpha/2}=2.064$

Now we have everything in order to replace into formula (1):

$28-2.064\frac{10}{\sqrt{25}}=23.872$

$28+2.064\frac{10}{\sqrt{25}}=32.128$

So on this case the 95% confidence interval would be given by (23.9;32.1)

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3 years ago

If the graph of the linear equation ax-8y=15 has an x-intercept at (3,0), then what is the value of a?

mart [117]

Ax-8y=15
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3 years ago