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3 years ago

What is the common ratio for this sequence? 40, 36, 32.4, 29.16 A) 1.1 B) 0.5 C) 2.2 D) 0.9

Mathematics

2 answers:

Elena L [17]3 years ago

8 0

Hope this might help u

Zolol [24]3 years ago

6 0

Answer:

D) 0.9

Step-by-step explanation:

The common ratio of a sequence is the amount you multiply a term by to get the next one. To find this number divide the second term by the first term, so 36/40. This will give you 0.9, to check your answer take the first term and multiply it by the common ratio a few times; you should get the exact sequence listed in the question.

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QUESTION 1) Line M passes through the points (-4, -11) and (3, 3). Line N passes through the points (5, -2) and (-6, 9). Which o

7nadin3 [17]

Answer:

Yes, lines M and N intersect because their slopes are different.

Step-by-step explanation:

First, we can start out by finding the slope of Line M and Line N. The slope formula is (y_2 - y_1)/(x_ 2- x_1)

Slope of Line M:

(3--11) / (3--4)

(3+11) / (3+4)

14/7

Now we know that the slope of Line M is 2.

Slope of Line N:

(9--2) / (-6-5)

11/-11

The slope of Line N is -1!

Since the slopes of Line N and M are different, they intersect. The answer is Yes, lines M and N intersect because their slopes are different.

If the slopes were the same, Line N and M would NEVER intersect because they are parallel.

Hope this helps

4 0

3 years ago

What is the product of 3.45 x<br> (1.93 x 10^4)

V125BC [204]

Answer:

66,585

Step-by-step explanation:

First, solve 10^4, which is 10,000. Then, do 1.93x10,000 and get 19300. Finally, multiply 19300 by 3.45 to get 66,585.

Always use pemdas and hope this helped!

6 0

2 years ago

The set of all numbers less than or equal to -8 or greater than or equal to 2.

tatiyna

The set of all numbers less than or equal to -8 or greater than or equal to 2 is -8 ≥ x ≥ 2. The set is {x∈R|-8 ≥ x ≥ 2}

<h3>The set of numbers</h3>

From the question, we are to write the set of numbers l<u>ess than or equal</u> to -8 or<u> greater than or equal</u> to 2

Let x represent the set of the numbers

If a number is less than or equal to -8

Then,

-8 is greater than or equal to the number

That is,

-8 ≥ x

If a number is greater than or equal to 2

Then,

x ≥ 2

Thus, the set of all the numbers is

-8 ≥ x ≥ 2

Hence, the set of all numbers less than or equal to -8 or greater than or equal to 2 is -8 ≥ x ≥ 2. The set is {x∈R|-8 ≥ x ≥ 2}

Learn more on Set of numbers here: brainly.com/question/18667553

#SPJ1

7 0

2 years ago

An elementary school class ran 1 mile in an average of 11 minutes with a standard deviation of 3 minutes. Rachel, a student in t

Natali5045456 [20]

Answer:

a) Kenji's time had a lower z-score, which means that he is better compared to other runners on his level, and better to his peers compared to Nedda.

b) Rachel, because her time had the lowest z-score.

Step-by-step explanation:

Z-score:

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question:

The lower the time, the better the runner is. So whoever's time has a lower z-score is a better runner. So initially, we find the z-score of each student's time.

An elementary school class ran 1 mile in an average of 11 minutes with a standard deviation of 3 minutes. Rachel, a student in the class, ran 1 mile in 8 minutes.

This means that for Rachel's time, we have that $X = 8, \mu = 11, \sigma = 3$ . So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{8 - 11}{3}$

$Z = -1$

A junior high school class ran 1 mile in an average of 9 minutes, with a standard deviation of 2 minutes. Kenji, a student in the class, ran 1 mile in 8.5 minutes.

This means that for Kenji's time, we have that $X = 8.5, \mu = 9, \sigma = 2$ . So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{8.5 - 9}{2}$

$Z = -0.25$

A high school class ran 1 mile in an average of 7 minutes with a standard deviation of 4 minutes. Nedda, a student in the class, ran 1 mile in 8 minutes.

This means that for Nedda's time, we have that $X = 8, \mu = 7, \sigma = 4$ . So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{8 - 7}{4}$

$Z = 0.25$

(a) Why is Kenji considered a better runner than Nedda, even though Nedda ran faster than he?

Kenji's time had a lower z-score, which means that he is better compared to other runners on his level, and better to his peers compared to Nedda.

(b) Who is the fastest runner with respect to his or her class? Explain why

Rachel, because her time had the lowest z-score.

8 0

3 years ago

How am I supposed to set up a problem like this:<br> y= x-8<br> y= 3x

Brums [2.3K]

Answer:

x = - 4

y = - 12

Step-by-step explanation:

x - 8 = 3x

- 8 = 3x - x

2x = - 8

x = - 4

y = 3x = 3(-4) = - 12

5 0

3 years ago

What is the common ratio for this sequence? 40, 36, 32.4, 29.16 A) 1.1 B) 0.5 C) 2.2 D) 0.9​

What is the common ratio for this sequence? 40, 36, 32.4, 29.16 A) 1.1 B) 0.5 C) 2.2 D) 0.9