A manufacturer determines that the cost of making a computer component is $4.252525........ Write the repeating decimal cost as a fraction and as a mixed number.

0.00345    is the value of p(x).

What means binomial distribution?

P(x₁= 2 , x₂ = 2 , x₃ = 5 )

p( x₁= 2) . p(  x₂ = 2) . p( x₃ = 5)        .........( as these are independent variable)

[c⁴₂ ( 0.5 )² ( 0.5 )² ] [ c⁶₂  ( 1/3)²(2/3)⁴ ] [ c¹²₅ (1/6)⁵ (5/6)⁷  

= 0.375 × 0. 329 × 0.028

= 0.00345  

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The two numbers are found as 9 and 16.

For the given questions;

Let the first number be 'a'.

Let the second number be 'b'.

Then, first number is seven less than a second number.

a = b - 7

Now, 5 times the first is 13 more than twice the second.

5a = 2b + 13

Put the value of a in above equation;

5(b - 7) = 2b + 13

Simplifying;

5b - 35 = 2b + 13

3b = 48

b = 16 (second number)

a = b - 7

a = 16 - 7

a = 9 (first number)

Therefore, the two number are found as 9 and 16.

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Amount after 10 years at 3%, 4% and 5.5% interest with principal $20000 is $26878.32, $29604.88 & $34162.88 respectively.

Although a part of your question is missing, you might be referring to this full question: Suppose that P dollars in principal are invested for years at the given interest rates with continuous compounding. Determine the amount that the investment is worth at the end of the given time period. p=$20000, t=10yr

a. 3% interest

b. 4% interest

c. 5.5% interest

P = $2000

T = 10 years

Formula to be used:

A = P(1+r/100)^n

A = total amount after n years

P = principal amount invested

r  = rate of interest

n = number of years the money is invested

Solving for part a:

A = 20000(1+3/100)^10

= 20000*1.34

A = 26878.32

Solving for part b:

A = 20000(1+4/100)^10

= 20000*1.48

A = 29604.88

Solving for part c:

A = 20000(1+5.5/100)^10

= 20000*1.70

A = 34162.88  

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Answer: 27.3861278753

Step-by-step explanation:

√750 = 27.3861278753

Answer:

5i is an imaginary number and it's square is - 25.

by definition zero is considered to be both real and imaginary.

Step-by-step explanation:

#studywell #workhard #worksmart

The data sets with a range that is greater than 10 are:

1 5 7 8 14

5 7 9 21 23

The range of any given data set is the difference between the largest and the lowest data point in the data set.

Range for 4 5 6 7 13:

Range = 13 - 4 = 9

Range for 1 5 7 8 14:

Range = 14 - 1 = 13

Range for 10 11 14 17 18:

Range = 18 - 10 = 8

Range for 5 7 9 21 23:

Range = 23 - 5 = 18

11 11 11 11 11 has no range.

Therefore, the data sets with a range that is greater than 10 are:

1 5 7 8 14

5 7 9 21 23

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Answer:

I'm pretty sure the answer is D

Step-by-step explanation:

I took the test

The sentence that contains a dangling modifier is D. Searching frantically, the homework was finally found and turned in.

A word or phrase that modifies a term that is not explicitly expressed in the sentence is known as a dangling modifier. A modifier provides a concept's definition, clarification, or more information.

A grammatical modifier that could be mistakenly understood as being connected to a word other than the one intended is known as a hanging modifier. A hanging modifier, which usually refers to a participle, has no subject.

Therefore, the sentence that contains a dangling modifier is Searching frantically, the homework was finally found and turned in.

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Answer:

A = 26          B = 82

Step-by-step explanation:

The angle A = 180 - ∅

So A is:

180 - (4x+10)

180 - 4x - 10

170 - 4x

The total angle of a triangle is 180, so A + B + C = 180

(170 - 4x) + (2x + 10) + 72 = 180

170 - 4x + 2x + 10 + 72 = 180

170 - 2x +82 = 180

252 - 2x = 180

252 - 180 = 2x

72 = 2x

72/2 = x

36 = x

A = (170 - 4x) = (170 - 4(36)) = 26

B = (2x + 10) = (2(36) + 10) = 82

C = 72

Answer:

i think the question might be incorrect or the question is incomplete

Work Shown:

5 times 2 = 10

5 times 13 = 65

5 times 2.13 = 10.65

This rounds to 10.7 when rounding to the nearest tenth, i.e. one decimal place.

Answer:

x − 4y = −20x − 4y = −26

Step-by-step explanation:

Answer:

127.3 feet

Step-by-step explanation:

Use Pythagorean Theorem which says

leg^2+leg^2=hyp^2

90^2+90^2= c^2

8100 +8100=c^2

16200 = c^2

sqrt16200 = c

c ~= 127.27922

Round to one decimal place.

c ~= 127.3 feet

OR, use the shortcut of Special Right Triangles, 45°-45°-90° where, the long side (hypotenuse) is the leg•sqrt2

The legs are 90.

So, the long side is 90•sqrt2

~= 127.27922

~= 127.3 feet

see image.

Answer:

work is shown and pictured

The area and perimeter of the rectangle are 80 cm and 375 cm² respectively.

The rectangle is 15 cm wide.

The width is 3 / 5 of its length

Therefore, the area and the perimeter of the rectangle can be found as follows:

area of a rectangle = lw

where

Therefore,

w = 15 cm

15 = 3 / 5 × l

cross multiply

75 = 3l

l  =75 / 3

l = 25 cm

Therefore,

area of the rectangle = 25 × 15 = 375 cm²

Perimeter of the rectangle = 2l + 2w

Perimeter of the rectangle = 2(l + w)

Perimeter of the rectangle = 2(25 + 15)

Perimeter of the rectangle = 2(40)

Perimeter of the rectangle = 80 cm

Therefore, the area and perimeter of the rectangle are 80 cm and 375 cm² respectively.

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Peyton needs to buy at least 45 sets for the restaurant to have enough forks.

Let the number of sets of forks be represented by 'x'. according to the question there are 10 forks in each set.

Since there are currently 287 forks available in the restaurant, and the restaurant needs at least 732 forks.

The inequality used to represent the given scenario is given by:

10x + 287 ≥ 732

10x ≥ 445

x ≥ 44.5

As Peyton cannot buy 44.5 sets of forks so we round it off to 45.

Therefore, he requires 45 sets in total.

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Answer:

30 Mins

Step-by-step explanation:

9 mins for 3 waffles is 3 mins per waffle. 9÷3=3

3 mins for each of 10 waffles is 30 mins. 3×10=30.

Answer:

4. $216 gain

5. 30g

I hope this helps

The larger of the two integers is 18 and the smaller integer is 17.

Integers are collection of whole numbers and negative numbers. Integers are not fractional numbers or decimal. Some examples of integers are -5,-25,0,13,9 .

Let us consider the smaller integer be x.

As the integers are consecutive, the larger integer is (x+1).

Now according to the given condition:

Twice the large integer=2(x+1)

15 less than the 3 times the smaller integer=3x-15

Now the value of these two expressions is equal.

Therefore: [tex]2(x+1)=3x+-15[/tex]

Solving the above equation to find the value of x:

[tex]or,2(x+1)=3x-15\\or,2x+2=3x-15\\or,2x-3x=-15-2\\or,-x=-17\\or,x=17[/tex]

Therefore the smaller integer is 17.

Larger integer(x+1) : 17+1=18

Therefore the integers are 17 and 18.

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Answer:

1.1

Step-by-step explanation:

Find the mean of the data:(3+4+5+5+5+6+6+6+7+8)/10 = 5.5Step 2: Find the difference between each data and mean:Difference between 3 and 5.5 is 2.5Difference between 4 and 5.5 is 1.5Difference between 5 and 5.5 is 0.5Difference between 5 and 5.5 is 0.5Difference between 5 and 5.5 is 0.5Difference between 6 and 5.5 is 0.5Difference between 6 and 5.5 is 0.5Difference between 6 and 5.5 is 0.5Difference between 7 and 5.5 is 1.5Difference between 8 and 5.5 is 2.5Step 3: Add all the differences:2.5+1.5+0.5+0.5+0.5+0.5+0.5+0.5+1.5+2.5 = 11Step 4: Divide it by the number of data:11/10 = 1.1So, the MAD = 1.1

Answer:

B

Step-by-step explanation:

H,E on the line perpendicular to the plane

D,E,F on the horizontal line on the plane

sixth person work per week=47 hours

Average:

The average is defined as the mean value which is equal to the ratio of the sum of the number of a given set of values to the total number of values present in the set

Given :

the number of hours worked per week for five of her employees is

30, 30, 38, 35, and 30.

the average work of 6 employees is  35 hours per week

Solution :

Let, Total work per week= S

sixth person work per week=x

Total work per week= Number of people x average working hour

S= 35(6) = 210..(1)

S = 30+30+38+35+30+x

S= 163+x..(2)

By equation 1 and equation 2

210= 163+x

210-163=x

47=x

sixth person work per week=47 hours

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Answer: get a verified 340

Step-by-step explanation:

If a bottle weighs 300g and can hold 630ml, then it will weigh approximately 930g when filled with water.

As per the question statement, a bottle weighs 300g and can hold 630ml.

We are required to find out the weight of the bottle when it is filled up with water.

To solve this question, we need to know about the concept of density of a substance, i.e.,

[tex]Density=\frac{Mass}{Volume}\\ or, Mass=[Density*Volume][/tex].

And density of water is 1gm/ml, i.e., 1gm of water has a mass of 1ml.

Using the above info, we will calculate the mass of 630ml of water and then we will have to add up the mass of water and the mas of the bottle to obtain our desired answer.

Using the unitary method, if 1ml of water has a mass of 1gm, then,

630 ml of water has a mass of [tex](630*1)=630\\[/tex] gms.

Hence, total weight of the bottle filled with water will be

[tex](630+300)=930[/tex] gms.

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Probability= 5/9

Even cards = 2,4,6,8

Odd cards = 1,3,5,7,9

The number of ways of choosing one odd and one even number is 5C1 * 4C1

            (  5!/ 1!* 4!) * (4!/1! * 3!)

            5* 4= 20

Total number of ways of choosing 2 cards out of 9 = 9C2

        9!/ 2! * (9-2)!

     = 9!/ 2! * 7!

     = 9*8/2

    = 9 *4= 36

Thus, Probability is = 20/ 36

                             = 5/9

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We need to use the concept of proprotionality for the given question.The value of y is 25.7, value of R is 1 and value of t is 144.

It is given that y varies directly as the square root of x which means that y is directly proportional to x, we can write it as

y∝[tex]\sqrt{x}[/tex] which can again be written as y=[tex]\sqrt{x} k[/tex] where k is a proportionality constant,we need to find the value of k inorder to find the value of y.We know that y=12 when x=49

12=[tex]\sqrt{49} k[/tex]=7k⇒12=7k⇒k=[tex]\frac{12}{7}[/tex]

when x=225 then y=[tex]\sqrt{225}[/tex]×[tex]\frac{12}{7}[/tex]=15×[tex]\frac{12}{7}[/tex]=25.7

R is inversely proportional to the cube of S,we can write it as

R∝[tex]\frac{1}{S^{3} }[/tex] ⇒R=[tex]\frac{k}{S^{3} }[/tex]

We need to find the value of k inorder to find the value of R, it is given that R=8 when S=3

8=[tex]\frac{k}{27}[/tex]

k=27x8=216

Value of R when S=6 will be

R=[tex]\frac{216}{6^{3} } =\frac{216}{216} =1[/tex]

It is given that n varies directly as the square root of t and inversely as l,we can write it as

n∝[tex]\frac{\sqrt{t} }{l}[/tex] which can be again written as n=[tex]\frac{\sqrt{t} }{l} k[/tex] where k is a proportionality constant,we need to find the value of k first to find the value of t

We know that n=5 when t=16 and l=2

5=[tex]\frac{\sqrt{16} }{2}k=\frac{4}{2} k=2k[/tex]

k=[tex]\frac{5}{2}[/tex]

We know that n=10,l=3 and k=[tex]\frac{5}{2}[/tex] substituting these values we can get the value of t

t=[tex](\frac{nl}{k} )^{2}[/tex]=[tex](\frac{10.3.2}{5} )^{2} =12^{2} =144[/tex]

Thus we can see that using the concept of proportionality we found out the values of y,R and t. Value of y is 25.7, R is 1 and t is 144.

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For 6 hours the temperature is held steady

Solution :

Line Graph:

A line graph—also known as a line plot or a line chart—is a graph that uses lines to connect individual data points. A line graph displays quantitative values over a specified time interval. In finance, line graphs are commonly used to depict the historical price action of an asset or security.

Line graphs can be compared with other visualizations of data including bar charts, pie charts, and (in trading) candlestick charts, among others

Temperature Rose:

It is the increase over ambient temperature of the winding due to energizing and loading

stayed steady:

A steady situation continues or develops gradually without any interruptions and is not likely to change quickly.

Temperature fall :

Temperature drop (T1−T2) is a direct indication of energy extracted. For a given resource, it is dependent on T2 which is in turn dependent on the minimum temperature of the process Ti.

There, we can see that the temperature between 12 noon to 6 pm is not changed much.

therefore we can say that for 6 hours the temperature is holding steady.

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Answer: 452.16

Step-by-step explanation:

area of circle= πr² where r is the radius

the value of the radius is squared and multiplied by pi, i.e.. 3.14.