1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
jonny [76]
3 years ago
11

The first 5 terms of a number pattern are shown below.

Mathematics
1 answer:
kotykmax [81]3 years ago
4 0

\bf 4~~,~~\stackrel{4+5}{9}~~,~~\stackrel{9+5}{14}~~,~~\stackrel{14+5}{19}~~,~~\stackrel{19+5}{24}\qquad \impliedby \stackrel{\textit{common difference}}{d=5} \\\\[-0.35em] ~\dotfill\\\\ n^{th}\textit{ term of an arithmetic sequence} \\\\ a_n=a_1+(n-1)d\qquad \begin{cases} a_n=n^{th}\ term\\ n=\textit{term position}\\ a_1=\textit{first term}\\ d=\textit{common difference}\\ \cline{1-1} a_1=4\\ d=5 \end{cases} \\\\\\ a_n=4+(n-1)5\implies a_n=4+5n-5\implies a_n=5n-1

You might be interested in
the slope of the line below is -5. which of the following is the point slope of the line? y intercept = (2, -8)
umka2103 [35]

Answer:

Step-by-step explanation:

The y-intercept cannot be (2,-8). The x-coordinate of the y-intercept is 0.

Point-slope equation for line of slope -5 that passes through (2,-8):

y+8 = -5(x-2)

3 0
2 years ago
The sum of a number and its square is 2. Find the​ number(s).
Yuliya22 [10]
Let x represent the number.
.. x^2 +x = 2
.. x^2 +x +1/4 = 9/4 . . . . add 1/4 to complete the square
.. x +1/2 = ±3/2 . . . . . . . .square root
.. x = -2, 1

Numbers meeting that requirement are -2 and 1.

6 0
3 years ago
Is p=2.5(600-500R)+-500 and p=-1250R+1000 a linear or nonlinear function? Explain.
ANEK [815]

Answer:

you dumb ...................

Step-by-step explanation:

4 0
3 years ago
A very large batch of parts (assume a normal distrbution0 from a manufacturer has a mean weight = 43g and a standard deviation =
AVprozaik [17]

Answer:

5.44% probability that exactly 8 of the 16 parts you selected will have weights exceeding 45g

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 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.

Binomial probability distribution:

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

Percentage of parts with weights exceeding 45g?

1 subtracted by the pvalue of Z when X = 45. So

We have \mu = 43, \sigma = 4

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

Z = \frac{45 - 43}{4}

Z = 0.5

Z = 0.5 has a pvalue of 0.6915

1 - 0.6915 = 0.3075

If you slect 16 parts at random form that batch, what is the probability that exactly 8 of the 16 parts you selected will have weights exceeding 45g?

This is P(X = 8) when n = 16, p = 0.3075. So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 8) = C_{16,8}.(0.3075)^{8}.(0.6915)^{8} = 0.0544

5.44% probability that exactly 8 of the 16 parts you selected will have weights exceeding 45g

4 0
3 years ago
Identify the resulting probability as theoretical or experimental. One-half of the people in a chess club are adults 21 years ol
nydimaria [60]
This is experimental probability.  The probability here is based on the people in the room instead of the number of people in the population.  You're taking actual physical data and conducting a probability experiment, so that makes it experimental.
6 0
3 years ago
Other questions:
  • How many yards equals 765 inches?<br><br><br><br> Enter your answer, as a decimal.
    8·2 answers
  • A television regularly selling for $500 is marked down to $300.  
    10·1 answer
  • Fill in the blank with the correct number.
    6·1 answer
  • Susie subtracted 3.9 From 30.9 And got 2.7 explain why this is not a reasonable. identify the errors in Susie’s work and what sh
    12·1 answer
  • Lisa takes a taxi uptown, and the fare is $12.78. She wants to give the driver a 10% tip.
    10·2 answers
  • If y varies inversely as x and y=-2 when x=25, find x when y=-40.
    5·1 answer
  • Can somebody help me with this please
    14·1 answer
  • Plssss helpppp.i need itt nowww​
    15·2 answers
  • I need the answer ASAP anyone could help me please
    5·2 answers
  • 1. Find the value of k.<br> A. 17<br> B. 73<br> C. 118<br> D. 107
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!