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
Paha777 [63]
4 years ago
14

Arithmetic sequence of 1/3,7/12,5/6

Mathematics
1 answer:
Butoxors [25]4 years ago
8 0

1/3=4/12

4/12+3/12=7/12

7/12+3/12=10/12=5/6


3/12=1/4


common difference is 1/4

first term is 1/3


an=a1+d(n-1)

an=1/3+(1/4)(n-1)


You might be interested in
Please Help Me!! Its for tomorrow and i rlly need help pls pls pls pls
DanielleElmas [232]

Answer:

perimeter = 6x + 15

Step-by-step explanation:

The perimeter of the triangle is the distance around the triangle.

We need to apply our ability to convert word problems in to mathematical expressions.

We were told that the bottom of the triangle is x units.

From the diagram perimeter 4x + 12 + x + 3 + x = 6x + 15

Four times the length of the bottom will be 4x .

12 more than 4 times the bottom will be 4x + 12.  

Hence another side of the triangle is 4x + 12.

Finally we were told that the last side is 3 more than the bottom, that will be      x + 3.

4 0
3 years ago
Read 2 more answers
a box has a length of 15 centimetres , a width of 22 centimetres, and a height of 9 centimetres.what is the surface area of the
zzz [600]

Answer:

1326 cm²

Step-by-step explanation:

1) Identify the equation of the surface area of a rectangular prism

       A = 2(wl + wh + hl)

2) Input the corresponding values l=15 cm; w=22 cm; and h=9 cm into the equation, and solve for the area

       A=2(wl+wh+hl)\\A=2((22)(15)+(22)(9)+(9)(15))\\A=2(330+198+135)\\A=2(663)\\A=1326 cm^{2}

3) ∴ A=1326cm^2

5 0
2 years ago
If y = 1/2(d + 1), find y when d = 7
nata0808 [166]

Answer:

4

Step-by-step explanation:

Plug in 7 for d:

y= 1/2(7+1)

y=1/2(8) .... Adding what's in the parenthesis (PEMDAS)

y=4 ..... Multiply 1/2 by 8

Hope this helps:)

5 0
4 years ago
Read 2 more answers
How to expand (2x+1)(x+1)
Inga [223]
(2x+1)(x+1)
Now multiply 2x to both x and +1
2x^2+2x
Do the same with 1 multiply it to x and +1
2x^2+2x +x+1
Simplify
2x^2+3x+1
8 0
4 years ago
Read 2 more answers
company with a large fleet of cars hopes to keep gasoline costs down and sets a goal of attaining a fleet average of at least 26
podryga [215]

Answer:

t=\frac{25.02-26}{\frac{4.83}{\sqrt{50}}}=-1.435    

p_v =P(t_{(49)}  

If we compare the p value and the significance level assumed \alpha=0.05 we see that p_v>\alpha so we can conclude that we have enough evidence to fail reject the null hypothesis, so we can't conclude that the height of men actually its significant lower than 26 so then the specification is satisfied.

Step-by-step explanation:

Data given and notation  

\bar X=25.02 represent the sample mean

s=4.83 represent the sample standard deviation

n=50 sample size  

\mu_o =26 represent the value that we want to test

\alpha represent the significance level for the hypothesis test.  

t would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the mean is at least 26 mpg, the system of hypothesis would be:  

Null hypothesis:\mu \geq 26  

Alternative hypothesis:\mu < 26  

If we analyze the size for the sample is > 30 but we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:  

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}  (1)  

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

Calculate the statistic

We can replace in formula (1) the info given like this:  

t=\frac{25.02-26}{\frac{4.83}{\sqrt{50}}}=-1.435    

P-value

The first step is calculate the degrees of freedom, on this case:  

df=n-1=50-1=49  

Since is a one sided test the p value would be:  

p_v =P(t_{(49)}  

Conclusion  

If we compare the p value and the significance level assumed \alpha=0.05 we see that p_v>\alpha so we can conclude that we have enough evidence to fail reject the null hypothesis, so we can't conclude that the height of men actually its significant lower than 26 so then the specification is satisfied.

3 0
3 years ago
Other questions:
  • How do you know if the price of a particular house fits your budget?
    9·1 answer
  • The figure is made up of a cylinder and a cone. What is the exact volume of the figure?
    12·2 answers
  • Two positive numbers x and y, with the maximum value 4, add up to 5. what is the difference between the maximum and minimum valu
    15·1 answer
  • An allergy drug is tested by giving 130 people the drug and 100 people a placebo. A control group consists of 70 people who were
    14·1 answer
  • Dawn has 12 yards of silk. She needs 1 1/4 yards of silk to make one skirt. How many skirts can she make?
    5·2 answers
  • Find the mean and median of these data 2,5,9,11,17,19
    6·2 answers
  • You notice a hot air balloon descending. The elevation h
    5·1 answer
  • Please answer 1,2,3, and 4
    7·1 answer
  • Z wants to buy five shirts worth 34 dollars each and three baseball caps worth 31
    9·1 answer
  • What is the inequality shown?<br> -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!