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
AleksandrR [38]
3 years ago
15

Of two consecutive integers, twice the smaller is four less than the greater. Find the integers. Provide and equation if you don

't have a direct answer.
Mathematics
1 answer:
iren [92.7K]3 years ago
3 0

Answer:

<em>The smaller integer is -3 and the greater integer is -2</em>

Step-by-step explanation:

<u>Equations</u>

Let's call

x = the smaller integer

x + 1 = greater consecutive integer

The relationship between them is that twice the smaller is four less than the greater:

2x = x + 1 - 4

Subtracting x:

x = 1 - 4

Operating:

x = -3

x + 1 = -2

The smaller integer is -3 and the greater integer is -2

You might be interested in
Write the following quotient in the form a+bi.<br> -7i/2-7i
Helga [31]

Answer:

\large\boxed{\dfrac{49}{53}-\dfrac{14}{53}i}

Step-by-step explanation:

\text{Use}\\\\i=\sqrt{-1}\to i^2=-1\\\\(a-b)(a+b)=a^2-b^2\to(a-bi)(a+bi)=a^2+b^2\\\\\text{distributive property}\ a(b+c)=ab+ac\\---------------------\\\\\dfrac{-7i}{2-7i}=\dfrac{-7i}{2-7i}\cdot\dfrac{2+7i}{2+7i}=\dfrac{-7i(2+7i)}{2^2+7^2}=\dfrac{(-7i)(2)+(-7i)(7i)}{4+49}\\\\=\dfrac{-14i-49i^2}{53}=\dfrac{-14i-49(-1)}{53}=\dfrac{-14i+49}{53}\\\\=\dfrac{49}{53}-\dfrac{14}{53}i

8 0
3 years ago
Read 2 more answers
Is 0.529 greater than 0.54
attashe74 [19]
No. 0.54 is equal to 0.540

0.540 > 0.529
6 0
3 years ago
Read 2 more answers
The sum of two exterior angles of an isosceles triangle is equal to 240°. What are the measures of the interior angles? THERE AR
Alla [95]
Dang that’s crazy, send me some pics and you got a deal
8 0
3 years ago
What does a standard deviation of 0 indicates ?
DIA [1.3K]

What does a standard deviation of 0 indicates 0.

4 0
2 years ago
A random sample of 5120 permanent dwellings on an entire reservation showed that 1627 were traditional hogans.
krek1111 [17]

Answer:

a) \hat p=\frac{1627}{5120}=0.3178

b)The 99% confidence interval would be given by (0.301;0.355)

Step-by-step explanation:

1) Notation and definitions

X=1627 number of permanent dwellings on the entire reservation that are traditional hogans.

n=5120 random sample taken

\hat p=\frac{1627}{5120}=0.318 estimated proportion of permanent dwellings on the entire reservation that are traditional hogans.

p true population proportion of permanent dwellings on the entire reservation that are traditional hogans.

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

The population proportion have the following distribution

p \sim N(p,\sqrt{\frac{\hat p(1-\hat p)}{n}})

Part a

The point of estimate for p=the proportion of all permanent dwellings on the entire reservation that are traditional hogans is given by:

\hat p=\frac{1627}{5120}=0.3178

Part b

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 99% of confidence, our significance level would be given by \alpha=1-0.99=0.01 and \alpha/2 =0.005. And the critical value would be given by:

z_{\alpha/2}=-2.58, z_{1-\alpha/2}=2.58

The confidence interval for the mean is given by the following formula:  

\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}

If we replace the values obtained we got:

0.318 - 2.58\sqrt{\frac{0.318(1-0.318)}{5120}}=0.301

0.318 + 2.58\sqrt{\frac{0.318(1-0.318)}{5120}}=0.335

The 99% confidence interval would be given by (0.301;0.355)

8 0
3 years ago
Other questions:
  • Choose the best definition for the term: variable
    5·1 answer
  • How to solve for angles of a triangle when I am given only sides
    11·1 answer
  • What z score separates the top 70% of the normal distribution from the bottom 30%?
    10·1 answer
  • Ms. Gonzalez borrowed $4,500 from her bank to buy a jet ski. The loan has an 8.5% annual simple interest rate. If it takes Ms. G
    5·1 answer
  • Find the distance between the two points in simplest radical form.<br> (1,8)(6,-4)
    13·1 answer
  • Which model represents the expression
    14·1 answer
  • The length of a rectangle Is 6.5 inches and the width is 3.5
    12·1 answer
  • The perimeter of a rectangular painting is 270 cm.
    11·2 answers
  • The number of homeruns hit by each player on the Bobcats baseball team is listed below.
    6·2 answers
  • PLS SOLVE BRAILEST GIVEN
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!