If the sum of the 8th & 9th terms of an arithmetic progression is 72 and the 4th term is -6. Find the common difference.​

Answers

Answer 1

Answer:

Correct Answer: Option D

Step-by-step explanation:

9 1/3

hope that helps


Related Questions

What is the area of rhombus ABCD? (Assume the diagonals of rhombus ABCD are equal).

Answers

Step-by-step explanation:

area of rhombus =1/2(d1×d2)

=1/2(4.25×4.25)

=1/2×18.0625

=9.03cm^2

A large company produces an equal number of brand-mame lightbulbs and generic lightbulbs. The director of quality control sets guidelines that lightbulbs that are defect lightbulbs that are defective is not equal to the director wants to estimate the average of the two proportions. Production will be stopped if there is evidence that the proportion of all ve is greater than 0. 10. The director also believes that the proportion of brand-name proportion of generic lightbulbs that are defective. Therefore, the o estmate the proportion of brand-name lightbulbs that are defective, a simple random sample of 400 brand-name lightbulbs brand-name lightbulbs that are defective in a sample of 400, and let px represent the proportion of all brand-name lightbulbs that are defective. It is reasonable to assume that X is a binomial random variable.

(a) One condition for obtaining an interval estimate for px is that the distribution of px is approximately number of is taken and 44 are found to be defective. Let X represent the normal Is it reasonable to assume that the condition is met? Justify your answer.

(b) The suandard error of hr is approumately O 0156 Show how the value of the standard error is calculated

Answers

Using the Central Limit Theorem, we have that:

a) Since there are at least 10 successes and 10 failures, the condition is met.

b) Using the formula [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex], with n = 400 and p = 0.11, the standard error is of 0.0156.

What does the Central Limit Theorem state?

It states that for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex], as long as [tex]np \geq 10[/tex] and [tex]n(1 - p) \geq 10[/tex].

Item a:

44 are found to be defective, hence:

np = 44.n(1 - p) = 356.

Which means that the conditions are met.

Item b:

We have that the parameters are:

[tex]n = 400, p = \frac{44}{400} = 0.11[/tex]

Hence, the standard error is given by:

[tex]s = \sqrt{\frac{0.11(0.89)}{400}} = 0.0156[/tex]

More can be learned about the Central Limit Theorem at https://brainly.com/question/24663213

Part B
Suppose there are 1,000 total sales representatives in the Midwest and Northeast regions, with 500 sales reps in each
region. Describe the best way for the sales director to include 200 sales representatives, with an equal number from each
region and an equal number in each group, while yielding valid conclusions in the study
Type your response in the box.

Answers

Answer:

The method regarding the sampling to pick 200 sales representative is to make 20 groups of 10.

What is sampling?

Sampling simply means a process that's used in statistics where a predetermined number of observations are selected from the larger population.

In this case, the best way for the sales director to include 200 sales representatives, with an equal number from each region is simply to make 20 groups of 10.

Step-by-step explanation: correct on plato:)

Answer:

The best way would be to randomly select 100 reps from the midwest and another random 100 from the northeast, giving you an equal amount from each region and totaling to 200 total, while also giving valid conclusions to the study.

Step-by-step explanation:

Find the volume of a cone with a base radius of 4 ft and a height of 8 ft.
Write the exact volume in terms of , and be sure to include the correct unit in your answer.

Answers

Answer:

42.67π ft³

Step-by-step explanation:

Given

base radius = 4 feetheight = 8 feet

Formula

Volume of a cone = 1/3πr²h

Solving

V = 1/3 x π x (4)² x 8V = 128/3 x πV = 42.67π ft³

Write -4/5 as a decimal number

Answers

-0.8


explanation:
-0.8
-.8 is the answer

For some reason it’s making me write more words. Just ignore this, the answer is above

Hope this helped <3

SOMEONE PLS HELP ME !!!!

Answers

if you do 1500 divided by 200 the answer is 7.5 hope this helps :)

Which of the following best explains why one graph appears skewed and one graph appears symmetric? the intervals on the x-axis of the histogram are too large. the interval on the y-axis of the histogram is too small. the interval on the x-axis of the histogram is inconsistent. the interval on the box-and-whisker plot is too small.

Answers

The reason for one graph appears skewed, and one graph appears symmetric is the interval on the x-axis of the histogram is inconsistent.

What is histogram?

A histogram is the way of representation of data which is used to show the frequency distribution using the rectangle similar to a bar graph.

In the problem, the data given as,

In the attached image below, the histogram and box plot is shown for the ages of Elizabeth's Grandchildren and their frequency.In the 3rd and 4the bar of histogram, the data is jumped from 14 to 20 instead of 15.The frequency distribution in histogram for this data is inconsistent.This inconsistency brought the between the two graphs.

Thus, the reason of one graph appears skewed, and one graph appears symmetric is the interval on the x-axis of the histogram is inconsistent.

Learn more about the histogram here;

https://brainly.com/question/2962546

i need help with this

Answers

Answer:

if c=1

then,

28-1×1×1+6=33

if c=2

then,

28-2×2×2+6=26

if c=3

then,

28-3×3×3+6=7

Expression: 28 - c^3 + 6

If c = 1...

28 - (1)^3 + 6

28 - 1 + 6

27 + 6

33

If c = 2...

28 - (2)^3 + 6

28 - 8 + 6

20 + 6

26

If c = 3...

28 - (3)^3 + 6

28 - 27 + 6

1 + 6

7

Hope this helps!

evaluate 8-m/n+ p2 when m=8 n=2 p=7

Answers

hello!

====================================================

let's evaluate this expression

[tex]\pmb{\displaystyle\frac{8-m}{n+p^2} }[/tex]

[tex]\pmb{\displaystyle\frac{8-8}{2+7^2}}[/tex] (step 1)

[tex]\pmb{\displaystyle\frac{0}{2+49}}[/tex] (step 2)

simplify:

[tex]\pmb{\displaystyle\frac{0}{51}}[/tex] (step 3)

[tex]\pmb{0}[/tex] (step 4)

=======================================

note:-

Hope everything is clear; if you need any more clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)

Evaluate the expression when b=16 and c=9.

c? +3(6-c)?

Answers

Answer:

0

Step-by-step explanation:

Since B = 16  and C = 9 we can plug into the equation.

(9) + 3 (6 - 9)

Since order of operations we subtract 9 from 6

6 - 9 = -3

Now we do -3 x 3 = -9

Now add -9 to 9

-9 + 9 = 0

Answer:

Step-by-step explanation:

3(6 - 9)

3(-3)= -9

9 + (-9) = 0

Use the ratio table to solve the percent problem,
Part
Whole

? 75
40 100

What is 40% of 757
Enter your answer in the box

Answers

Answer:

302.8

Step-by-step explanation:

If you ever have a calculator by your side remember that a percentage is just a decimal moved two digits to the left. So in this case, the equation is just 757•0.4. Sorry, however, I do not know what you're asking at the top part.

-9 more than a number results in -20

Answers

Answer:

-9+x=-20

Step-by-step explanation:

I am not so positive on this one, but if you are not doing inequalities, then this should be correct.

"More than" would insinuate that you are adding. In this class, you would have a number to replace that x, but since no number was given, you place the x in its place. x=-11, because when you "add" -9 with something to get -20, it would have to be -11. Negative numbers can be confusing because when you subtract a negative number by another negative, you end up with a negative. Like in this case. Normally, you would just put -11, so it would look like -9 - 11 = -20. But since this says "more than", unless you are doing inequalities, you add.

If you are doing inequalities, then your answer should be this:

-9 > x = -20

I hope this helps!

-No one

How many words have i written

Answers

Answer:

6

Step-by-step explanation:

Select the correct answer.

Answers

Answer:

?????

Step-by-step explanation:

Please help! I will mark brainliest

Answers

Answer: C

Step-by-step explanation:

Statement C is true

The interquartile range of the distances for the bus drivers is 5 miles less than the interquartile range of the distances for the teachers.

Interquartile range =  [tex]\underline{Q_{3} - Q_{1}}[/tex]

For bus drivers  = 30 - 5 = 25 miles

For teachers = 25 - 5 = 30 miles

Distance of bus drivers = distance of teachers - 5 miles

Tom drove to visit a museum in Chicago. He traveled at a constant rate of 50 miles per hour for 2 hours. Then he traveled at a constant rate of 65 miles per hour for 1 hour. What is the total distance Tom traveled to the museum?
O:75
O:90
O:165
O:255

Answers

Answer:

165

Step-by-step explanation:

First, we multiply 50 and 2 to find out how much they traveled first, which is 100. And then, multiply 65 and 1 to get 65 for the second part. Add then, to get 165. Hope this helps!

Answer:

The answer is 165 miles.

This is how I solved it:

First I made a chart like the one in the picture

Then I inserted the Rate for each part of the trip. The rate for Part One is 50 miles per hour, and the rate for Part Two is 65 miles per hour.

Next, I would insert the Time for each part of the trip. The time for Part One is 2 hours, and the time for Part Two is 1 hour.

Because we now have the values for r and t for each part of the trip, we need to calculate the distance for each part by using the distance formula, d=r x t, and multiplying the rate and the time.

For Part One, multiply 50 miles per hour x 2 hours; this equals 100 miles. For Part Two, multiply 65 miles per hour times 1 hour; this equals 65 miles.

So, Tom traveled 165 miles to the museum.

Hope this isn't confusing XD

FYI the attachment is just an example from another question so the answers are not the same

Anne is on the chess team at her school. She wins a match 20% of the time. Design a simulation that will predict the probability of Anne winning two matches. to represent winning two chess matches with representing Anne winning a match. Perform the simulation times. Using this simulation, the probability of Anne winning two matches is about .

Answers

Using the binomial distribution, it is found that there is a 4% probability of Anne winning two matches.

What is the binomial distribution formula?

The formula is:

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

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.

In this problem:

She plays two matches, hence n = 2.She wins a match 20% of the time, hence p = 0.2.

The probability that he wins two matches is P(X = 2), hence:

[tex]P(X = 2) = C_{2,2}.(0.2)^{2}.(0.8)^{0} = 0.04[/tex]

4% probability of Anne winning two matches.

More can be learned about the binomial distribution at https://brainly.com/question/24863377

3.Give some examples of commutative property of multiplication and some non examples​

Answers

Answer:

a+b = b+a

Step-by-step explanation:

One week a student exercised 3 hours at school and another of an hour at home. If of the student's total exercise came from playing basketball, how much time did the student spend playing basketball that week? Enter your answer in hours; do not include units in your answer.

Answers

Answer:

The student spent 48 minutes and 45 seconds playing basketball.

Which statements are true? select three options. the population density for city b can be found using the ratio 48,592 : 26. the population density for city d can be found using the ratio 258 : 196,429. city a has the greatest population density of the four cities. the population density of city b is greater than that of city c. city d has the lowest population density of the four cities.

Answers

The three statements truly define the conditions are 1,3 and 4.

What is population density?

The number of individuals of a species in a certain geographic location is known as population density.

Data on population size may be used to quantify demographic information as well as to analyze links with habitats, people's health, and transportation.

The population density is given as  the ratio of population per unit area;

[tex]\rm population \ density= \frac{population}{Area}[/tex]

For the different cities the population density is found as;

For city a

[tex]\rm P_A = \frac{2,19514}{1553} \\\\ \rm P_A = 1413.98[/tex]

For city b

[tex]\rm P_B =\frac{48,592 }{26} \\\\ \rm P_B =1868.15[/tex]

For city c

[tex]\rm P_C = \frac{ 1,257,676}{999} \\\\ \rm P_C = 999[/tex]

For city d

[tex]\rm P_D = \frac{196,429}{258} \\\\ \rm P_A = 761.35[/tex]

The three statements defining the condition will be;

The population density for city b would be 48,592:26.  

The population density for city b is more than city c.

The city d contains the lowest population density

Hence the three statements true will be 1,3 and 4.

To learn more about the population density refer to the link;

https://brainly.com/question/16894337

Consider the figure below: (DE and BC are parallel)

Answers

If DE and BC are parallel, their sides must be proportional.

2/x+1 = 5/4x-2
Use cross multiplication:
8x-4=5x+5
3x=9
x=3

Plug this in:
x: 3
AE: 3+1 = 4
CE: 4(3)-2 = 12-2 = 10
AB: 2 + 5 = 7
AC: AE+CE = 4 + 10 = 14

what is the answer to 12x10.4

Answers

Answer: 124.8

Step-by-step explanation:

Here is a Answer to your question:

12 x 10.4 = 124.8

I am sorry if this was not helpful

Hope this was helpful

What is 125x to the 3rd power +343y to the 3rd power

Answers

Answer: 125 to the power of 3 = 1253 = 1,953,125

The price of general admission Twins tickets increased from $7 to $18 when they moved to Target Field. What is the percent increase in the ticket price? Explain how you know

Answers

Answer:

257 1/7%

Step-by-step explanation:

[tex] \frac{18}{7} = 2.57142857[/tex]

2.57142857 = 257 1/7 %

NEED HELP ASAP!!!! GIVING BRAINLIEST+ 30 POINTS TO WHOEVER CAN ANSWER THESE TWO QUESTIONS THE BEST!!!

Answers

1- is c 15/4
Because 5*3=15 and the 4 on the bottom remains
2-is 10/8
Again do the same method of multiplying the top(numerator) by the whole number so 2/1*5/8=10/8
Or 2*5=10
And 1*8=8

Which postulate or theorem proves that these two triangles are
congruent?
HL Congruence Theorem
ASA Congruence Postulate
AAS Congruence Theorem
SAS Congruence Postulate

Answers

Answer: AAS

Step-by-step explanation:

Write an equivalent expression.
- 2(8+79)
Choose the correct answer below.
OA. -2(8 + 7g) = - 16 + 7g
OB. – 2(8 + 7g) = 7g - 16
OC. – 2(8 + 7g) = - 2 - 14g
OD. -2(8 +79) = - 16 - 14g
-
-


Please help

Answers

Answer:

D

Step-by-step explanation:

You just have to expand and you'll get the answer.

A bicycle helmet cost $41.40 in 1983. what will a bicycle helmet cost when the cpi is 186? round to the nearest cent. a. $222.58 b. $144.60 c. $77.00 d. $72.30

Answers

Answer:

77.00

Step-by-step explanation: just round and subtract

The price of the bicycle helmet cost at the time when CPI is 186 is given by: Option C; $77

What is consumer price index?

The consumer price index is the new cost of market basket in terms of percentage of old cost of market basket.

[tex]CPI_t[/tex] = consumer price index in current period[tex]C_t[/tex] = cost of market basket in current period[tex]C_0[/tex] = cost of market basket in base period

Then, we have:

[tex]CPI_t = \dfrac{C_t}{C_0} \times 100[/tex]

For this case, we're given that:

[tex]CPI_t[/tex] = 186[tex]C_t[/tex] = To find[tex]C_0[/tex] = $41.40

Thus, we get:
[tex]186 = \dfrac{C_t}{41.4} \times 100\\\\C_t = \dfrac{186 \times 41.4}{100} \approx \$77[/tex]

Thus, the price of the bicycle helmet cost at the time when CPI is 186 is given by: Option C; $77

Learn more about consumer price index here:

https://brainly.com/question/5992428

Name the type of logical fallacy being used.
29. if you don’t want to drive from boston to new york, then you will have to take the train.

Answers

The type of logical fallacy being used in the sentence "If you don’t want to drive from boston to New york, then you will have to take the train" is false dilemma.

What is fallacy?

It should be noted that a fallacy simply means a deceptive argument where the conclusion isn't supported by the premises.

In this case, false dilemma is when a limited number of options are incorrectly presented as being mutually exclusive.

Learn more about fallacy on:

https://brainly.com/question/20939336

What is the surface area of a sphere with a 4 ft diameter (round to 1 decimal)?
A) 12.6 ft2
B) 16.7ft2
C) 50.2 ft2
D) 100 ft2​

Answers

Radius=Diameter/2Radius=r=4/2=2ft

TSA:-

4πr²4π(2)²3.14(4)(4)16(3.14)59.24ft²
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