Find the common difference of the arithmetic sequence -19, -16, -13, ...

Answers

Answer 1

Answer:

d= +3

Step-by-step explanation:

1st term = -19

2nd term = -16

d = 2nd - 1st

d= -16-(-19)

d = +3


Related Questions

Solve for p.
-4.5 + 2/3
- 18.9
A
p=-117.9
B.
p = -108.9
С
p = -86.4
D
P = 140.4

Answers

Answer:

me no sabo

Step-by-step explanation:

ANSWER ONLY IF YOU KNOW ( no links or ill report you)

Answers

Step-by-step explanation:

[tex]C=2\pi r[/tex]

[tex]C=2*\pi *28[/tex]

[tex]C=56\pi[/tex]

Yes, it is because the circumference is always [tex]2\pi[/tex] times the amount of the radius.

Most water-treatment facilities monitor the quality of their drinking water on an hourly basis. One variable monitored is pH, which measures the degree of alkalinity of acidity in the water. A pH below 7.0 is acidic, one above 7.0 is alkaline, and a pH is 7.0 is neutral. One water-treatment plant has a target pH of 8.5. The mean and standard deviation of 1 hour's test results, based on 17 water samples at this plant, are 8.42 and 0.16, respectively. (a) Set up the null and alternative hypotheses to test whether the mean pH value mu of the water from the plant differs from 8.5. (b) What test statistic should be used based on the available sample information

Answers

Answer:

a) The null hypothesis is [tex]H_{0}: \mu = 8.5[/tex] and the alternate hypothesis is [tex]H_{a}: \mu \neq 8.5[/tex]

b) A test statistic of -2.06 should be used.

Step-by-step explanation:

Question a:

One water-treatment plant has a target pH of 8.5.

At the null hypothesis, we test if the mean is close to the target. So, the null hypothesis is:

[tex]H_{0}: \mu = 8.5[/tex]

At the alternate hypothesis, we test if it differs from 8.5, so the alternate hypothesis is:

[tex]H_{a}: \mu \neq 8.5[/tex]

Question b:

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

8.5 is tested at the null hypothesis:

This means that [tex]\mu = 8.5[/tex]

The mean and standard deviation of 1 hour's test results, based on 17 water samples at this plant, are 8.42 and 0.16, respectively.

This means that [tex]n = 17, X = 8.42, \sigma = 0.16[/tex]

Value of the test statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{8.42 - 8.5}{\frac{0.16}{\sqrt{17}}}[/tex]

[tex]z = -2.06[/tex]

A test statistic of -2.06 should be used.

what is the solution to the equation 5=2/5a​

Answers

Answer:

a = 25/2

Step-by-step explanation:

5 = (2/5)*a // - (2/5)*a

5-((2/5)*a) = 0

(-2/5)*a+5 = 0

5-2/5*a = 0 // - 5

-2/5*a = -5 // : -2/5

a = -5/(-2/5)

a = 25/2

a = 25/2

Six measurements were made of the magnesium ion concentration (in parts per million, or ppm) in a city's municipal water supply, with the following results. It is reasonable to assume that the population is approx. normal.

DATA: 202, 164, 157, 177, 113, 213202, 164, 157, 177, 113, 213.

Based on a 98% confidence interval for the mean magnesium ion concentration, is it reasonable to believe that the mean magnesium ion concentration may be greater than 195?

Answers

Answer:

The 98% confidence interval for the mean magnesium ion concentration is between 122 ppm and 220 ppm. As the lower bound of the interval is below 195, it is not reasonable to conclude that the mean magnesium ion concentration may be greater than 195

Step-by-step explanation:

The six measurements are:

202, 164, 157, 177, 113, 213

Sample mean:

Sum of all values divided by the number of values which is 6. So

[tex]S_m = \frac{202+164+157+177+113+213}{6} = 171[/tex]

Sample standard deviation:

Square root of the difference squared between each value and the mean, and divided by 1 subtracted by the sample size. So

[tex]s = \sqrt{\frac{(202-171)^2+(164-171)^2+(157-171)^2+(177-171)^2+(113-171)^2+(213-171)^2}{5}} = 35.69[/tex]

Confidence interval

We have the standard deviation for the sample, which means that the t-distribution will be used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 6 - 1 = 5

98% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 5 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.98}{2} = 0.99[/tex]. So we have T = 3.365

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 3.365\frac{35.69}{\sqrt{6}} = 49[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 171 - 49 = 122 ppm

The upper end of the interval is the sample mean added to M. So it is 171 + 49 = 220 ppm

The 98% confidence interval for the mean magnesium ion concentration is between 122 ppm and 220 ppm. As the lower bound of the interval is below 195, it is not reasonable to conclude that the mean magnesium ion concentration may be greater than 195

ZABD and ZDBC are supplementary angles.
What is the measure of x?
x = [?]°
7D
AT
110%
Х
B
>C
Angles are not drawn to scale.
Enter

Answers

Answer:

x=70°

Step-by-step explanation:

x+110=180 linear pair

x=180-110=70

Look at the pattern shown below.

2, 4, 16, 256 ...

What is f(n+ 1) in terms of f(n), where n represents the position of a term in this pattern?

A. (F(n))^2

B. 2(f(n))

C. (F(n)-1)^2

D. 2(f(n)-1)

Answers

Answer: (a)

Step-by-step explanation:

Given

The pattern is 2, 4, 16, 256...

From the pattern, we can see that the next term is square of the previous i.e.

[tex]\Rightarrow 4=2^2\\\Rightarrow 16=4^2\\\Rightarrow 256=16^2[/tex][tex]\Rightarrow 4=2^2\\\Rightarrow 16=4^2\\\Rightarrow 256=16^2[/tex]

So, for the [tex]n^{th}[/tex] term, the function is [tex]f(n)[/tex]

For the next term, it is [tex]f(n+1)[/tex]

So,

[tex]\Rightarrow f(n+1)=[f(n)]^2[/tex]

Find the axis of symmetry and the vertex for the following quadratic equation.
y=x^2-8x + 15

Answers

Answer:

pill

Step-by-step explanation:

Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator

0.30 cm to 0.42 cm​

Answers

Answer:

[tex]\dfrac{5}{7}[/tex]

Step-by-step explanation:

Given numbers are :

0.30 cm and 0.42 cm

We need to find the ratio of the above whole numbers.

Taking 0.3 cm on the numerator and 0.42 cm on the denominator. So,

[tex]\dfrac{0.3}{0.42}=\dfrac{\dfrac{3}{10}}{\dfrac{42}{100}}\\\\=\dfrac{3}{10}\times \dfrac{100}{42}\\\\=\dfrac{10\times 3}{42}\\\\=\dfrac{10}{14}\\\\=\dfrac{5}{7}[/tex]

So, the required fraction is equal to [tex]\dfrac{5}{7}[/tex].

escribe en forma de potencia y encuentra el valor

((-9)²)³​

Answers

Answer:

Step-by-step explanation:

Answer:

531441

Step-by-step explanation:

using multiplicative law of indices

2 by 3 Is 6

so, -9⁶=531441

What is the answer to 420 + 69 =

Answers

Answer:

420 + 69 = 489

Step-by-step explanation:

HOPE THIS HELPS

brainliest pls :)

Answer:

489

Step-by-step explanation:

420 + 69 = 489

2) As a wildlife biologist you are currently researching feral pigs in Texas and need to collect data to yield the average weight of a mature female feral pig in Texas. Which type of study is most suitable for data collection in this situation? A) experimental B) Census sampling Eliminate D) simulation​

Answers

Answer:

Step-by-step explanation:

C sampling

a certain colony of bacteria begin with one cell and the population doubles every 20 minutes. What was the population of The Colony after 2 hours?

a. 6
b. 12
c. 32
d. 64​

Answers

The population of The Colony after 2 hours is d. 64​

How to determine the population?

The given parameters are:

Initial, a = 1

Rate, b = 2 every 20 minutes

An exponential function is represented as:

y = ab^x

So, we have:

y = 1 * 2^x

y = 2^x

There are six 20 minutes in 2 hours.

This means that:

x = 6

So, we have:

y = 2^6

Evaluate

y = 64

Hence, the population of The Colony after 2 hours is d. 64​

Read more about exponential functions at

https://brainly.com/question/2456547

#SPJ1

A 51 foot ladder is set against the side of a house so that it reaches up 45 feet. If Nora
grabs the ladder at its base and pulls it 6 feet farther from the house, how far up the
side of the house will the ladder reach now? (The answer is not 39 ft.) Round to the
nearest tenth of a foot.

Answers

Answer:

a=41.2

Step-by-step explanation:

a^2 + (30)^2. =51^2

a^2+900=2601

-900. -900

a^2= +\- square root 1701

a=41.243181

a=41.2

In the image above x=4 cm and y=8 cm. Find the surface area of the figure. (Note: Figure is not to scale.)

Answers

Answer:

96

Step-by-step explanation:

4×8×3=96 is the surface area

How many solutions will the equation have?
|x- 13| - 5= -5

Answers

Answer: x=13

Step-by-step explanation: Hope this help :D

Answer:

One Solution

__________

x = 13

__________

Explanation:

| x – 13 | – 5 = -5

[Add 5 to both sides to isolate | x – 13 | and cancel out –5]

| x – 13 | – 5 + 5 = -5 + 5

[Reduce]

| x – 13 | = 0

[An absolute value can include both a positive and negative value so |x| = n → x = ±n ]

x – 13 = ± 0

[Add 13 to both sides to get the value of x]

x – 13 + 13 = 13 ± 0

x = 13 ± 0

[Adding or subtracting zero will leave you with the same number]

x = 13

Question: Explain the Difference between an equation and an expression

Answers

Answer:

An expression is a number, a variable, or a combination of numbers and variables and operation symbols.

An equation is made up of two expressions connected by an equal sign.

Step-by-step explanation:

What is the m
Need help please!

Answers

9514 1404 393

Answer:

  27

Step-by-step explanation:

The measure of an inscribed angle is half the measure of the arc it subtends.

  ∠P = (RT)/2

  ∠P = 54/2

  ∠P = 27

Rewrite each if the following division problems as a multiplication problem.

a. 24/3 = 8
b. 336/8 = x

Answers

9514 1404 393

Answer:

  a.  24 = 8·3

  b.  336 = 8·x

Step-by-step explanation:

A division equation can be rewritten as a multiplication equation by multiplying both sides by the denominator (divisor).

  a/b = c   ⇔   a = bc

__

a.  24/3 = 8   ⇒   24 = 3·8

b.  336/8 = x   ⇒   336 = 8x

I NEED HELP PLEASE HURRY

Answers

Answer:

60m2

Step-by-step explanation:

(12x4)+(4x3)=60

Please give brainliest if this helps :)

What is the value of w?

Answers

Answer:

180 - 35 - 74 = 71 degrees is the angle value that is right next to 35 degree angle.

35 + 71 = 106

180 - 106 = 74.

So w = 74 degrees.

1. The cost of using a telephone in a hotel meeting room is $0.20 per minute. Which of the
following equations represents the total cost, c, in dollars for h hours of phone use?
a c= 0.20(60h)
b c= 0.20 + 60
d =

Answers

Answer:

A is correct

Step-by-step explanation:

[tex]\frac{0.20}{1min}[/tex] = [tex]\frac{12.00\\}{1 hour}[/tex]  

We can scale the ratio to give the most accurate answer.

0.20 X 60 = 12.00

*pls give brainlist*

PLEASE ANY REAL PERSON WHO CAN HELP ME IVE BEEN WAITING LIKE 30 MINUTES

Answers

Answer:

y = ½x + 8

Step-by-step explanation:

The equation of the function can be written in the slope-intercept form y = mx + b.

m = slope = change in y/change in x

b = y-intercept = the value of y when x is zero

✔️From the table, when x = 0, y is 8.

Therefore,

y-intecept (b) = 8

✔️Find the slope (m) using two of the given pairs of values from the table, (-4, 6) and (2, 9):

m = (9 - 6)/(2 -(-4))

m = 3/6

m = ½

✔️Next is to plug in the values of m and b into y = mx + b.

Thus:

y = ½x + 8

A speaker is in the shape of a cube with an edge length of 3.5 inches. The speaker is sold in a package in the shape of
square prism with a base area of 16 square inches and a height of 4 25 inches
Part B What is the surface area, in square inches, of the package?

Answers

Answer:

I think it would be 6800 square in because you just have to multiply 16 by 425.... Sorry if it is wrong

Step-by-step explanation:

Joe has read 80% of a book. He has 6 more pages to finish. How many pages are there in the book?​

Answers

Answer:

30 pages in this book

Step-by-step explanation:

20% is equal 6 pages

so 80% is equal (80/20)*6+6=30

Cheryl bought a shirt for $42 and sweater for$30. Write a numerical expression that represents the change Cheryl received from four $20 bills

Answers

Answer:

[tex]Change = \$8[/tex]

Step-by-step explanation:

Given

[tex]Bills = $20\ bills[/tex] (4)

[tex]Shirt = \$42[/tex]

[tex]Sweater= \$30[/tex]

Required

The change

First, we determine the amount paid,

To do this, multiply the number of bills by the worth of each bill.

So, we have:

[tex]Amount = 4 * \$20[/tex]

[tex]Amount = \$80[/tex]

Next, calculate the worth if item bought

[tex]Items = \$42 + \$30[/tex]

[tex]Items = \$72[/tex]

Subtract the items from the amount to get the change.

[tex]Change = \$80 - \$72[/tex]

[tex]Change = \$8[/tex]

Can any body help me and no links

Answers

Answer:

C

Step-by-step explanation:

7.67 is greater than 7.66666...

which ratio represents the probability of taking a red apple from a bag containing 8 red apples, 4 yellow apples, and 3 green apples?

Answers

Answer:

8:15

or 8/15

Step-by-step explanation:

8 out of 15

Answer:

8:15

Step-by-step explanation:

There are 8 red apples and total of 15 apples

plot-6 what is the sum of-6 and 9​

Answers

Answer:

3

Step-by-step explanation:

I believe the answer is 3 because:

- 6 + 9 = 3

minus and plus are equal to minus therefore we minused it and there is no minus sign with 3 because we always use the sign which is with the greater number.

— hope this helped :)!

Please help, if you’re correct I’ll mark you as brainiest!!!

Answers

Answer:

A

Step-by-step explanation:

950 is 95% of 1000

so he lost 5 percent, which can be represented as -5.0%

Answer:

Step-by-step explanation:

because the value went down.. we know the the rate of return , is negative.  then we just have to think about , how much is 50 of 1000 ??  well 10 is 10% of 100 right?  so 100 is 10% or 1000,  right?  sooo  half of 100, or 50, is 5% of 1000,  

so -5% is the return on investment (roi)

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