Help with #20 please

Write the recursive formula for -34, -38, -42, -46, -50 ...

Alex787 [66]

Answer:

-30 - 4n

Step-by-step explanation:

-34, -38, -42, -46, -50 ...

the sequence first term is -34

a= -34

Common difference (d) = T2 - T1 = T3 - T2

d = -38- -34 = -42 - - 38 = -38+34

d = -4

Formula for nth term

Tn = a + (n-1)d

Tn = -34 + (n -1)-4

Tn = -34 -4n + 4

Tn = -30 - 4n

= -30 - 4n

I hope this was helpful, please mark as brainliest

8 0

3 years ago

-0.5x=3.6<br><br> F. -72<br> G. -7.2<br> H. 7.2<br> I. 72

masya89 [10]

Answer:

G

Step-by-step explanation:

3.6÷-0.5 is -7.2, so it's G

8 0

2 years ago

Life Expectancies In a study of the life expectancy of people in a certain geographic region, the mean age at death was years an

Sphinxa [80]

Answer:

The probability that the mean life expectancy of the sample is less than X years is the p-value of $Z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$ , in which $\mu$ is the mean life expectancy, $\sigma$ is the standard deviation and n is the size of the sample.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

We have:

Mean $\mu$ , standard deviation $\sigma$ .

Sample of size n:

This means that the z-score is now, by the Central Limit Theorem:

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

Find the probability that the mean life expectancy will be less than years.

The probability that the mean life expectancy of the sample is less than X years is the p-value of $Z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$ , in which $\mu$ is the mean life expectancy, $\sigma$ is the standard deviation and n is the size of the sample.

8 0

2 years ago

A car travels at an average speed of 40 miles per hour for the first 100 miles of a 200-mile trip, and at an average speed of 50

Harlamova29_29 [7]

Total distance = 200 miles

Time needed for the first 100 miles
= 100 ÷ 40 = 2.5 hours

Time needed for the second 100 miles
= 100 ÷ 50 = 2 hours

Total time = 2.5 + 2 = 4.5 hours

Average speed = 200 ÷ 4.5 hours = 44.4 miles per hour

3 0

3 years ago

3. You have 3 consecutive numbers, with the smallest number n.

lbvjy [14]

Heyo !!

☕️ $\bold{Jace~ is~ here~ to~ help~ !}$

$\frac{A~n~s~w~e~r~ :}{}$

<h2>A. What are the 7 numbers in the term of n?</h2>

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EXPLANATION :

Because when you have 3 consecutive numbers, you have to put 7 numbers in the term of the n.

Hope It Helped!

<u>And Tell me if The answer is wrong. . .</u>

<h3><u>Good Luck With Your Assignment!</u></h3><h3 />

#LearnWithBrainly

$\underline{A ~n~s~w~e~r~:}$

﹋﹋﹋﹋﹋﹋﹋

Jace ^-^

7 0

2 years ago