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Alenkasestr [34]
2 years ago
15

Pls help will give brainliest and pls give explanation

Mathematics
1 answer:
Zielflug [23.3K]2 years ago
8 0

Answer:

  -4, 2, 8, 14, 20

Step-by-step explanation:

The rule is called a "position to term" rule. That means the word "position" is being used to identify the location of a term in the sequence. The first term is in position 1, for example. Using the rule that the position is multiplied by 6, then 10 is subtracted, we find the terms to be as follows.

In position 1, the term is ...

  1×6 -10 = -4

In position 2, the term is ...

  2×6 -10 = 2

In position 3, the term is ...

  3×6 -10 = 8

In position 4, the term is ...

  4×6 -10 = 14

In position 5, the term is ...

  5×6 -10 = 20

The first 5 terms are -4, 2, 8, 14, 20.

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(13x-19y)+(48x+43y) PLZ ANSWER
suter [353]

Answer:

Combing like terms we get 13x + 48x = 61x and -19y + 43y = 24y so the answer is 61x + 24y.

6 0
2 years ago
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Find the magnitude and direction (in degrees) of the vector. (Assume 0° ≤ < 360°.)
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3 0
2 years ago
Suppose your statistics professor reports test grades as​ z-scores, and you got a score of 2.49 on an exam. ​(a) Write a sentenc
Oduvanchick [21]

Answer:

a) A z-score of 2.49 means that your grade was 2.49 standard deviations above the mean of all grades.

b) 1.39% of the class scored lower than your​ friend.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

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.

You got a score of 2.49 on an exam. ​

(a) Write a sentence explaining what that means

A z-score of 2.49 means that your grade was 2.49 standard deviations above the mean of all grades.

(b) Your friend got a​ z-score of negative 2−2. If the grades satisfy the Nearly Normal​ Condition, about what percent of the class scored lower than your​ friend? ​

This percentage is the pvalue of Z = -2.2

So 0.0139 = 1.39% of the class scored lower than your​ friend.

7 0
3 years ago
3.24 x 10-4<br> 8.1 x 10-7
defon
28.4

Explanation

(Multiply the numbers) 3.24 x 10= 32.4
(Subtract the numbers) 32.4 - 4= 28.4
7 0
3 years ago
Jake's parents want $100,000 at the end of 40 years. They put their money in an account that yields 4% per year compounded conti
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Answer:

$ 20,189.65

Step-by-step explanation:

Jake's parents want $100,000 at the end of 40 years. They put their money in an account that yields 4% per year compounded continuously. How much money should jakes parents deposit?

From the above question, we are to find the Principal. The formula for Principal compounded continuously =

P = A / e^rt

Where:

A = Amount after time t = $100,000

r = Interest rate = 4%

t = Time in years = 40 years

First, convert R percent to r a decimal

r = R/100

r = 4%/100

r = 0.04 per year,

Then, solve our equation for P

P = A / e^rt

P = 100,000.00 / e ^(0.04×40)

P = $ 20,189.65

Therefore, the amount Jake's parents should invest = $ 20,189.65

8 0
3 years ago
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