list five rational numbers between -4/5 and -2/3 . Please tell by step by step explaintion ​

Answers

Answer 1

9514 1404 393

Answer:

  -0.67, -0.68, -0.69, -0.70, -0.71

Step-by-step explanation:

There are an infinite number of ways to do this.

Perhaps the simplest is to do it in decimal.

 -4/5 = -0.8

  -2/3 = -0.666... (repeating 6)

Any negative decimal number between these values will do. For example, ...

  -0.67, -0.68, -0.69, -0.70, -0.71

__

If you want to choose fractions that are evenly spaced between the given values, you can find their difference, then divide that difference into 6 parts (1 more than the number of numbers you need).

  -2/3 -(-4/5) = 4/5 -2/3 = (12 -10)/(5·3) = 2/15 . . . . length of interval

  1/6 of this difference is ...

     (1/6)(2/15) = 2/90 = 1/45

The interval end point nearest 0 is ...

  -2/3 = -30/45

so the 5 intermediate values will be that value with -1/45 repeatedly added:

  -31/45, -32/45, -33/45 = -11/15, -34/45, -35/45 = -7/9

_____

Additional comment

The fractions we came up with could be referred to as "5 arithmetic means between -2/3 and -4/5." There is nothing in the problem statement suggesting the values need to be evenly spaced.

When doing this in decimal, you can obtain a new value simply by adding more digits to the decimal fraction:

  -0.68, -0.685, -0.6853, -0.68531, -0.799


Related Questions

5−1/4x=15−14/x helppppppppppppppppppppppppppppppppppppppppppp

Answers

Answer:

x=-41.354157 or x=1.354157

Answer:

x = -2(10 + √114)  ,  x = 2(-10 + √114)

Step-by-step explanation:

5 − 1/4x = 15 − 14/x

-5             -5

----------------------------

-1/4x = 10 - 14/x

*4x           *4x

-----------------------------

-x^2 = -56 + 40x

-----------------------------

x = -2(10 + √114) , x = 2(-10 + √114)

help me please ^^;


hhhhhhhh

Answers

Answer:

Step-by-step explanation:

whwwyw

Write the equation of the line passing through the points (6,2) and (-2,-2). The equation of the line is __ Please help!!!

Answers

Answer:

y = 1/2x - 1

Step-by-step explanation:

y2 - y1 / x2 - x1

-2 - 2 / -2 - 6

-4 / -8

= 1/2

y = 1/2x + b

-2 = 1/2(-2) + b

-2 = -1 + b

-1 = b

as part of a campaign to promote it's annual clearance sale


Answers

Answer:

is this a question or not?

Step-by-step explanation:

Find the percent of change from

10 yards to 15 yards
1. 5%
2. 33%
3. 15%
4. 50%

Answers

Answer:

option 4

Step-by-step explanation:

Percent change is calculated as

[tex]\frac{change}{original}[/tex] × 100%

change = 15 - 10 = 5 , then

percent change = [tex]\frac{5}{10}[/tex] × 100% = 5 × 10% = 50%

Which linear inequality and its solution set is represented by the graph?

Answers

Answer: im pretty sure its y is more than or equal to 3x - 4

Step-by-step explanation:

All items or people of interest in an experiment is called

Answers

Answer: a population

Step-by-step explanation:

Step-by-step explanation:

I think your answer is Population

A shipping container will be used to transport several 120-kilogram crates across the
country by rail. The greatest weight that can be loaded into the container is 24000
kilograms. Other shipments weighing 5900 kilograms have already been loaded into
the container. What is the greatest number of 120-kilogram crates that can be loaded
into the shipping container?

Answers

Answer:

150.833... or 150 and 5/6 crates

Step-by-step explanation:

We can create an equation to solve this.

Let x represent the number of 120 kilogram crates that can be loaded into the chipping container.

120x (weight of the crates) + 5900 (weight already in the container) = 24000 (max weight in the container)

We'll start by subtracting 5900 from both sides to try to isolate x, the number of containers we still need to meet 24000 kilograms.

120x = 18100

Now we just have to isolate x by dividing by 120.

x = 150.83333333333333333333333333333

If you want to use a mixed fraction form for this solution since the 3's keep repeating, it would be 150 and 5/6 crates.

PLEASE HELP ITS MATH THANK YOUUUU

Answers

Answer:

144%

Step-by-step explanation:

There are multiple ways to do this but here's the way I used:

2.50/100 = .025

Based on this, 1% of 2.50 is 0.025.

6.10-2.50 = 3.6

3.6/0.025 = 144

Based on this, 3.4 is 144 times greater than 0.025 (1%). So 3.4 is a 144% increase.

Find the value of (64)1/2x(125)1/3

Answers

Answer= 4000/3

Step by step explanation

64(
1
2
)(125)(
1
3
)
=(32)(125)(
1
3
)
=4000(
1
3
)
=
4000
3

4. What is the mode of the data set below? (1 point) 0, 1, 1, 0, 2, 3, 2, 1, 0, 4, 1, 1​

Answers

The mode is the the common value.
There are 5 1’s and 3 0’s so the mode is 1

It usually helps to sort the values...
0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 3, 4
as this makes finding the median easier as well

Ms.Taylor buys 8 picture books and 12 marker

Answers

Answer:  Ms.Taylor buys 8 picture books and 12 markers from a book store.The price of a book is $17.85 and the price of a marker is $2.25. Calculate the total amount Ms.Taylor spends.

142.8 is the book price 27 is the marker price added together equal 169.8

Step-by-step explanation:

Answer:

$169.80

Step-by-step explanation:

Ms.Taylor buys 8 picture books and 12 markers from a book store.The price of a book is $17.85 and the price of a marker is $2.25. Calculate the total amount Ms.Taylor spends.

17.85*8=142.8

2.25*12=27

142.8+27=$169.80

Dell Computers receives large shipments of microprocessors (chips) from Intel Corp. It must try to ensure that the proportion of defective chips is small and has contracted to keep the proportion of defective chips at 5% or less. Suppose that Dell tests 25 chips (with replacement) out of a shipment of thousands.
a) What is the probability of obtaining at least three defects in the sample, if the entire shipment has 5% defectives? If a sample results in at least three defects, does it appear that Intel has provided a shipment which is consistent with the contract? Briefly explain, using the calculated probability.
b) For the shipment described in part a, find the expected number of sampled chips that are defective and the standard deviation of the number of sampled chips that are defective.
c) Suppose that 20% of the entire shipment is defective. What is the probability that more than 17 chips in the sample are good (not defective)?​

Answers

Using the binomial distribution, it is found that:

a) 0.1271 = 12.71% probability of obtaining at least three defects in the sample, if the entire shipment has 5% defectives. 5% defective is between 1 and 2 defects, but since this probability is more than the unlikely threshold 5%, more than 2 defects could still mean that Intel has provided a shipment which is consistent with the contract.

b) The mean is of 1.25 defective chips and the standard deviation is of 1.09 defective chips.

c) 0.8908 = 89.08% probability that more than 17 chips in the sample are good.

For each chip, there are only two possible outcomes, either it is defective, or it is not. The probability of a chip being defective is independent of any other chip, which means that the binomial distribution is used to solve this question.

Binomial probability distribution

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

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

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:

25 chips are tested, thus, [tex]n = 25[/tex].

Item a:

Supposing 5% defective, we have that [tex]p = 0.05[/tex].

The probability is:

[tex]P(X \geq 3) = 1 - P(X < 3)[/tex]

In which

[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]

Then

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

[tex]P(X = 0) = C_{25,0}.(0.05)^{0}.(0.95)^{25} = 0.2774[/tex]

[tex]P(X = 1) = C_{25,1}.(0.05)^{1}.(0.95)^{24} = 0.3650[/tex]

[tex]P(X = 2) = C_{25,2}.(0.05)^{2}.(0.95)^{23} = 0.2305[/tex]

[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.2774 + 0.3650 + 0.2305 = 0.8729[/tex]

[tex]P(X \geq 3) = 1 - P(X < 3) = 1 - 0.8729 = 0.1271[/tex]

0.1271 = 12.71% probability of obtaining at least three defects in the sample, if the entire shipment has 5% defectives. 5% defective is between 1 and 2 defects, but since this probability is more than the unlikely threshold 5%, more than 2 defects could still mean that Intel has provided a shipment which is consistent with the contract.

Item b:

The mean is:

[tex]E(X) = np = 25(0.05) = 1.25[/tex]

The standard deviation is:

[tex]\sqrt{V(X)} = \sqrt{np(1 - p)} = \sqrt{25(0.05)(0.95)} = 1.09[/tex]

The mean is of 1.25 defective chips and the standard deviation is of 1.09 defective chips.

Item c:

20% are defective, so 80% are good, which means that [tex]p = 0.8[/tex]

The probability is:

[tex]P(X > 17) = P(X = 18) + P(X = 19) + P(X = 20) + P(X = 21) + P(X = 22) + P(X = 23) + P(X = 24) + P(X = 25)[/tex]

Then

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

[tex]P(X = 18) = C_{25,18}.(0.8)^{18}.(0.2)^{7} = 0.1108[/tex]

[tex]P(X = 19) = C_{25,19}.(0.8)^{19}.(0.2)^{6} = 0.1633[/tex]

[tex]P(X = 20) = C_{25,20}.(0.8)^{20}.(0.2)^{5} = 0.1960[/tex]

[tex]P(X = 21) = C_{25,21}.(0.8)^{21}.(0.2)^{4} = 0.1867[/tex]

[tex]P(X = 22) = C_{25,22}.(0.8)^{22}.(0.2)^{3} = 0.1358[/tex]

[tex]P(X = 23) = C_{25,23}.(0.8)^{23}.(0.2)^{2} = 0.0708[/tex]

[tex]P(X = 24) = C_{25,24}.(0.8)^{24}.(0.2)^{1} = 0.0236[/tex]

[tex]P(X = 25) = C_{25,25}.(0.8)^{25}.(0.2)^{0} = 0.0038[/tex]

Then:

[tex]P(X > 17) = P(X = 18) + P(X = 19) + P(X = 20) + P(X = 21) + P(X = 22) + P(X = 23) + P(X = 24) + P(X = 25) = 0.1108 + 0.1633 + 0.1960 + 0.1867 + 0.1358 + 0.0708 + 0.0236 + 0.0038 = 0.8908[/tex]

0.8908 = 89.08% probability that more than 17 chips in the sample are good.

A similar problem is given at https://brainly.com/question/24863377

The solution to 3(x-8)+4x=8x+4

Answers

Answer: x = -28

Step-by-step explanation:

1) Distribute

3(x-8)+4x=8x+4

3x-24+4x=8x+4

2) Combine like terms

7x - 24 = 8x + 4

3) Move x(subtract 7x from both sides)

-24 = x + 4

4) Subtract 4 from both sides.

-28 = x

Hope it helps :)

The simplified solution of the given expression is x = -28.

Given that, to determine the simplified solution of the expression  3(x-8)+4x=8x+4

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
3(x-8)+4x=8x+4
3x - 24 + 4x - 8x = 4
-x = 4 + 24
-x = 28

Thus, the simplified solution of the given expression is x = -28.

Learn more about simplification here:

https://brainly.com/question/12501526

#SPJ2

determine whether WX and YZ are perpendicular,or, neither W(-7,6),X(-6,9)Y(6,3),Z(3,-6)

Answers

Answer:  The lines WX and YZ are parallel.

Step-by-step explanation:  We are given to check whether the lines WX and YZ are parallel, perpendicular or neither if the co-ordinates of the endpoints of both the lines are

W(3,4), X(5,7), Y(8,2) and Z(6,-1).

We know that the slope of a straight line passing through the points (a, b) and (c, d) is given by

m = d-b/c-a

So, the slope of the line WX is

m1 = 7-4/5-3 = 3/2

and the slope of line YZ is

m2 = -1-2/6-8 = -3/-2 = 3/2

Since , we get  m1 = m2, so the two lines WX and YZ are parallel.

Thus, the lines WX and YZ are parallel.

They are not perpendicular, so if you mistyped something and it was parallel that would be the answer, or the answer is neither the mysterious angle form or perpendicular. Hope this helps.

The test scores for 10 students were: 74, 81, 39, 74, 85, 80, 100, 92, 74, and 85. What
is the mode?

Answers

Answer:

74

Step-by-step explanation:

"The mode is the value that appears most often in a set of data values."

So, if we look at this data, we can conclude that the mode is 74 because 74 appears 3 times (with 85 being second at twice).

74, 81, 39, 74, 85, 80, 100, 92, 74, and 85

\/

39, 74, 74, 74,  80, 81, 85, 85, 92, 100

           /\

        3 74's

Suppose that you and a friend are playing cards and decide to make a bet. If you draw three face cards, where a face card is a Jack, a Queen, or a King, in succession from a standard deck of 52 cards without replacement, you win $40. Otherwise, you pay your friend $10. What is the expected value of your bet? Round your answer to the nearest cent, if necessary.

Answers

Answer:

Step-by-step explanation:

Expected value of the bet =

P(you make the correct draw) * 40 + P(you do not make the correct draw) * (-10) =

(4/52)(4/51)(4/50) * 40 + (1 - (4/52)(4/51)(4/50)) * (-10) =

(64/132600) * 40 + (1 - 64/132600) *(-10) =

64/3315 + (132536/132600) * (-10) =

64/3315 - (132536/13260) =

64/3315 - 33134/3315 =

-33070/3315 =

-9.97586726998 =

-$9.98, rounded to the nearest cent  

(i.e., the expected value of the bet is a loss of $9.98)

Some help ASAP plz 20 points

Answers

Answer:

the answer is 1,8,1, have a nice day

Answer:

1, -8, -1

Step-by-step explanation:

The coefficients of a function are the constants that are in front of the variables. For the function [tex]t-8t^{9} -t^{7}[/tex], the coefficients would be 1, -8, and -1.

if tiles cost $1.15 per square feet , how much would cost to tile aa rectangular room that is 13 feet by 15 feet ?

Answers

Answer:

224.25

Step-by-step explanation:

13x15x1.15

The equation of a line is given below.
8x+2y=-2
Find the slope and the y-intercept.
Then use them to graph the line.

Answers

8x + 2y = -2
2y = -8x - 2
y = -4x - 1

-4 is the slope, and -1 is the y-intercept is -1.

Help please :))) thank u

Answers

Answer:

The distance between A and B is 8.5 after rounded to the nearest tenth

Step-by-step explanation:

The formula you always use for distance between points is as pictured.

Point A is (-6, 4), this is x1 and y1

Point B is (2, 1), this is x2 and y2

(2-[-6])^2 + (1-4)^2

since 2 negatives make a positive, 2 - -6 = 8

1 - 4 = -3

This makes 8 squared and -3 squared

8x8 = 64

-3x-3 = 9

64 + 9 = 73

the square root of 73 = 8.544003745

After rounding to the nearest tenth, it is 8.5

I hope this helps you! Good luck :)

How do I Graph 2y=-8

Answers

Answer: (0,-4)
You solve this with inverseoperations

ratios
20:220
10:110
5:55
1:?​

Answers

Answer:

1 : 11

Step-by-step explanation:

20:220 = 0.09

10:110 = 0.09

5:55 = 0.09

1:11 = 0.09

HELP!!!!! Someone answer ASAP PLEASE!!!!

Answers

Answer:

thay are independent

Step-by-step explanation:

I only know that they are independent but Don't really know how to explain and do step by step.

Answer:

a, =to 13 and B, is to 45 and C,13 D, 14 of tells

Richard wants to purchase a new Havaianas. The cost of the havaianas he wants to buy is Php299. Richard has saved Php42 for his new purchase. His parents are willing you give him three times what he has saved. On the weekends. Richard cut lawns for Php20 an hour. How many more hours will Richard have to work until he has enough money to purchase his Havaianas?

Answers

Using the required arithmetic operations, the number of mowing hours required to meet up with the cost of the Havannian ls 7 hours.

Cost of Havannian = Php 299

Amount saved = Php 42

The amount he'll be given by his parents = 3(42) = Php 126

Total amount = 42 + 126 = Php 168

Amount left to meet up cost of Havannian = (299 - 168) = Php 131

Lawn cutting rate per hour = Php 20

Number of cutting hours needed = (Php 131 ÷ Php 20) = 6.55 hours

Therefore, in other to meet up with the cost of the Havannian, hell have to mow for atleast 7 hours.

Learn more : https://brainly.com/question/18112348

The hours Richard would have to work more in order to purchase his Havaians is 7 hours.

The first step to take in order to determine the answer is to determine the total amount Richard has.

Amount saved = Php 42

Amount his parents would give him = php 42 x 3 = php 126

Total amount Richard has = 126 + 42 = Php 168

The total amount Richard has to get in order to purchase the item:

Php 299 - Php 168 = Php 131

The total hours Richard has to work in order to have enough money = Php 131 / 20 = 6.55 hours

This is approximately 7 hours.

A similar question was answered here: https://brainly.com/question/15580066?referrer=searchResults

help me answrr the 4th question please

Answers

Step-by-step explanation:

gcvnjgcnhkk xdhvchjjudvhtuk xecn9

solve {-20-5x}-70=-40

Answers

Answer:

x = -10

Step-by-step explanation:

in the adjoining graph the point a is the position of a policeman in the point p is the position of a Thief how far is the thief from the policeman 1 unit is equal length to 20 m​

Answers

Answer: 5 up and 7 side

Step-by-step explanation:

Is -45.58 an integer

Answers

Answer: Yes

Step-by-step explanation: Because a integer is -45.58

NEED ANSWER FAST FOR BRAINLIEST (MUST GIVE EXPLANATION)

Louise's filling to 2 gallon buckets with water the equation Y equals 0.4 X models the number of gallons of water in the first bucket after X minutes this graph shows the number of gallons in the second bucket after X minutes which statement is true
A- The second bucket will be completely filled five minutes before the first bucket

B-The first book it will be completely filled five minutes before the second bucket

C-The second book it will be completely filled 11 minutes before the first bucket

D-The first bucket will be completely filled 11 minutes before the second bucket

Answers

Let's see

y=0.4x

When y becomes 2 right?

[tex]\\ \sf\longmapsto 0.4x=2[/tex]

[tex]\\ \sf\longmapsto x=2/0.4[/tex]

[tex]\\ \sf\longmapsto x=5mins[/tex]

Option B

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