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
konstantin123 [22]
2 years ago
7

Choose the conjecture that describes how to find the 6th term in the sequence 4, 20, 36, 52, ….

Mathematics
1 answer:
Pie2 years ago
4 0

Answer:

B

Step-by-step explanation:

there is a common difference between consecutive terms in the sequence, that is

20 - 4 = 36 - 20 = 52 - 36 = 16

thus to obtain the next term in the sequence add 16 to the previous term

To obtain 2 terms distant then add 16 + 16 = 32

so 6th term = 52 + 32 = 84

You might be interested in
Si se compran tres chicles y un tamarindo y se paga $15 y se compran dos chicles y tres tamarindos y se paga $31 ¿que cuesta cad
lorasvet [3.4K]

Responder:

9

Explicación paso a paso:

Dejar :

Mascar chicle = x

Tamarindo = y

3x + y = 15 - - - (1)

2x + 3y = 31 - - - (2)

De 1)

y = 15 - 3x - - (3)

Por lo tanto,

2x + 3 (15 - 3x) = 31

2x + 45 - 9x = 31

-7x = 31 - 45

-7x = - 14

x = 2

De (3):

y = 15 - 3 (2)

y = 15 - 6

y = 9

3 0
3 years ago
A machine that fills beverage cans is supposed to put 12 ounces of beverage in each can. The standard deviation of the amount in
erica [24]

Answer:

\chi^2 =\frac{10-1}{0.0144} 0.0217 =13.54

The degrees of freedom are:

df=n-1=10-1=9

Now we can calculate the p value using the alternative hypothesis:

p_v =2*P(\chi^2 >13.54)=0.279

Since the p value is higher than the signficance level assumed of 0.05 we have enough evidence to FAIL to reject the null hypothesis and there is no evidence to conclude that the true deviation differs from 0.12 ounces

Step-by-step explanation:

Assuming the following data:"12.14 12.05 12.27 11.89 12.06

12.14 12.05 12.38 11.92 12.14"

We can calculate the sample deviation with this formula:

s =\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}

n=10 represent the sample size

\alpha=0.05 represent the confidence level  

s^2 =0.0217 represent the sample variance

\sigma^2_0 =0.12^2= 0.0144 represent the value to verify

Null and alternative hypothesis

We want to determine whether the standard deviation differs from 0.12 ounce, so the system of hypothesis would be:

Null Hypothesis: \sigma^2 = 0.0144

Alternative hypothesis: \sigma^2 \neq 0.0144

The statistic can be calculated like this;

\chi^2 =\frac{n-1}{\sigma^2_0} s^2

\chi^2 =\frac{10-1}{0.0144} 0.0217 =13.54

The degrees of freedom are:

df=n-1=10-1=9

Now we can calculate the p value using the alternative hypothesis:

p_v =2*P(\chi^2 >13.54)=0.279

Since the p value is higher than the signficance level assumed of 0.05 we have enough evidence to FAIL to reject the null hypothesis and there is no evidence to conclude that the true deviation differs from 0.12 ounces

7 0
3 years ago
The length of a shadow of a building is 30 m. The distance from the top of the building to the tip of the shadows is 36 m. Find
kupik [55]

Answer:

46.86

Step-by-step explanation:

a^2+b^2=c^2

30^2+36^2=c^2

2196=c^2

Square root both sides

46.86=c

7 0
3 years ago
Identify the input and the output given the relation described:
bulgar [2K]
The input is the hours and the out put is the cost.
4 0
3 years ago
Jill buys a wooden toy chest online for $31.If shipping and handling are an additional 30% of the price, how much shipping and h
attashe74 [19]

Answer:

$9.30

Step-by-step explanation:

shipping and handling cost = percentage of shipping and handling x price

30% x $31

0.3 x $31 = $9.30

3 0
3 years ago
Other questions:
  • Larry used a pattern of colors to make a cube train. He used a red cube, a blue cube, a red cube, and another red cube before he
    10·1 answer
  • What is the mathematical name for the object that is defined by the Crocodile River?
    12·2 answers
  • Need help with 1 & 2
    14·1 answer
  • A cone-shaped container has a height of 9 in. and diameter of 2 in. It is filled with a liquid that is worth $2 per cubic inch.
    6·1 answer
  • Help me!
    12·1 answer
  • I need help on this one
    12·1 answer
  • Help me plz I neeed​
    15·2 answers
  • Y'all -<br> please help <br> I have been on this question for like 20 mins
    11·1 answer
  • A store pays $245 for radio. The store marks the radio up 65%. What is the selling price for the radio? Explain answer and earn
    7·2 answers
  • Triangle ABC has angle measures as shown below. Using the information in the
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!