BAKERY Rolls are being prepared to go to grocery stores, Divide 72 rolls
into 2 groups so the ratio is 3 to 5,

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

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.

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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]

In this problem:

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.

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Answer:

A) 52

Step-by-step explanation:

If < 1 and < 2 are complementary angles, then it means that the sum of their measures add up to 90°.

< 1 + < 2 = 90°

12x + 4 + 9x + 2 = 90°

21x + 6 = 90°

21x + 6 - 6 = 90° - 6

21x = 84°

21x/21 = 84°/21

x = 4

Substitute the value of x = 4 into < 1 and < 2:

m < 1: 12x + 4 = 12(4) + 4 = 52°

m < 2: 9x + 2 = 9(4) + 2 = 38°

Therefore, the correct answer is A) m < 1 = 52°.

Answer:

i......dont........know.... :)

Step-by-step explanation:

yup

Answer:

(-2) *6 = -12

Step-by-step explanation:

4 + (2-4) *6 , solve the subtraction in parenthesis

4 + (-2)*6, solve the multiplication of (-2) *6

4 - 12, solve the subtraction

-8

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

Answer:

The inequality is false and equals -14=3

Step-by-step explanation:

You want to start by cancelling equal terms on both sides of the equation which means getting rid of both 8's. You are left with (-7)-(7)=7+(-4).

From here you want to solve both sides meaning adding -7-7 because both terms are negative they will combine, and the other side which is -7+4. They are opposite terms so you will subtract. This leaves you with -14=3 which is false.

Answer:

Step-by-step explanation:

Expected value of the bet =

(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)

Answer:

x = -10

Step-by-step explanation:

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.

Answer: a population

Step-by-step explanation:

Step-by-step explanation:

I think your answer is Population

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

Answer: Yes

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

Answer:

25.317977802344

Step-by-step explanation:

25x25= 625

4x4= 16

625+16= 641

The square root of 641 is 25.317977802344

n this case we are going to use the 'Babylonian Method' to get the square root of any positive number.

We must set an error for the final result. Say, smaller than 0.01. In other words, we will try to find the square root value with at least 1 correct decimal place.

Step 1:

Divide the number (641) by 2 to get the first guess for the square root.

First guess = 641/2 = 320.5.

Step 2:

Divide 641 by the previous result. d = 641/320.5 = 2.

Average this value (d) with that of step 1: (2 + 320.5)/2 = 161.25 (new guess).

Error = new guess - previous value = 320.5 - 161.25 = 159.25.

159.25 > 0.01. As error > accuracy, we repeat this step again.

Step 3:

Divide 641 by the previous result. d = 641/161.25 = 3.9751937984.

Average this value (d) with that of step 2: (3.9751937984 + 161.25)/2 = 82.6125968992 (new guess).

Error = new guess - previous value = 161.25 - 82.6125968992 = 78.6374031008.

78.6374031008 > 0.01. As error > accuracy, we repeat this step again.

Step 4:

Divide 641 by the previous result. d = 641/82.6125968992 = 7.7591072555.

Average this value (d) with that of step 3: (7.7591072555 + 82.6125968992)/2 = 45.1858520774 (new guess).

Error = new guess - previous value = 82.6125968992 - 45.1858520774 = 37.4267448218.

37.4267448218 > 0.01. As error > accuracy, we repeat this step again.

Step 5:

Divide 641 by the previous result. d = 641/45.1858520774 = 14.1858562034.

Average this value (d) with that of step 4: (14.1858562034 + 45.1858520774)/2 = 29.6858541404 (new guess).

Error = new guess - previous value = 45.1858520774 - 29.6858541404 = 15.499997937.

15.499997937 > 0.01. As error > accuracy, we repeat this step again.

Step 6:

Divide 641 by the previous result. d = 641/29.6858541404 = 21.5927760397.

Average this value (d) with that of step 5: (21.5927760397 + 29.6858541404)/2 = 25.63931509 (new guess).

Error = new guess - previous value = 29.6858541404 - 25.63931509 = 4.0465390504.

4.0465390504 > 0.01. As error > accuracy, we repeat this step again.

Step 7:

Divide 641 by the previous result. d = 641/25.63931509 = 25.0006678318.

Average this value (d) with that of step 6: (25.0006678318 + 25.63931509)/2 = 25.3199914609 (new guess).

Error = new guess - previous value = 25.63931509 - 25.3199914609 = 0.3193236291.

0.3193236291 > 0.01. As error > accuracy, we repeat this step again.

Step 8:

Divide 641 by the previous result. d = 641/25.3199914609 = 25.3159643039.

Average this value (d) with that of step 7: (25.3159643039 + 25.3199914609)/2 = 25.3179778824 (new guess).

Error = new guess - previous value = 25.3199914609 - 25.3179778824 = 0.0020135785.

0.0020135785 <= 0.01. As error <= accuracy, we stop the iterations and use 25.3179778824 as the square root.

So, we can say that the square root of 641 is 25.31 with an error smaller than 0.01 (in fact the error is 0.0020135785). this means that the first 2 decimal places are correct. Just to compare, the returned value by using the javascript function 'Math. sqrt(641)' is 25.317977802344327.

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)

Answer:

A and E

Step-by-step explanation:

The given problem shows a graph of a vertical line with an undefined slope, in which its equation is x = 3 (which matches Option A).

It is not considered a function because it has the same input for every given output.  This means that regardless of its y-coordinate, its corresponding x-coordinate will always be x = 3.  

The Vertical Line Test allows us to know whether or not a graph is actually a function. Remember that a function can only take on one output for each input. We cannot plug in a value and produce two output values.  Since the graph represents a vertical line, it automatically fails the vertical line test. Therefore, it is not a function.

Because it is not a function, Options B, C, and D are invalid answers.

Hence, the correct answers are Options A and E.

Answer:23

Step-by-step explanation:10 people make up 30 percent so we have 33 people . 33 - 10 = 23

Step-by-step explanation:

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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.

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

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.

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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.

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Answer:

936.58

Step-by-step explanation:

Answer:

is this a question or not?

Step-by-step explanation:

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

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

Answer:

45

Step-by-step explanation:

Answer:

6/25

Step-by-step explanation:

all you need to do is to look for common factors of both the numerator and the denominator and you keep on breaking it down

The two equations that can be used to represent his number of visits with his total cost will be 20 + 2x and 5x.

Let the number of visits be represented by x.

Since Keith can get a $20 membership card and pay $2 for every visit, or he can go any time and just pay $5 for each visit, then the equation to represent the information will be:

20 + (2 × x) = (5 × x)

20 + 2x = 5x

Therefore, the equations will be 20 + 2x and 5x.

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