A length of chain is to be constructed by placing 36 component links end to end. The length of a link produced by a production process is known to be a random variable with a mean of 2.5 cm with a standard deviation 0.2 cm. The 36 links are chosen at random from this process to produce the chain. The mean and standard deviation of the length of chain are, respectively _________.

a. 90 cm, 7.2 cm
b. 36 cm, 1.2 cm
c. 90 cm, 2.7 cm
d. 90 cm, 1.2 cm
e. 36 cm, 7.2 cm

Answer:

½√2

Step-by-step explanation:

∑ₙ₌₀°° (-1)ⁿ π²ⁿ / (4²ⁿ (2n)!)

∑ₙ₌₀°° (-1)ⁿ (π/4)²ⁿ / (2n)!

Using the Taylor expansion for cos x:

cos (π/4)

½√2

Given:

A sofa regularly sells for $710.

The sale price is $553.80.

To find:

The percent decrease of the sale price from the regular price.

Solution:

We have,

[tex]Decrease\%=\dfrac{\text{Regular price - Sale price}}{\text{Regular price}}\times 100[/tex]

[tex]Decrease\%=\dfrac{710-553.80}{710}\times 100[/tex]

[tex]Decrease\%=\dfrac{156.2}{710}\times 100[/tex]

[tex]Decrease\%=0.22 \times 100[/tex]

[tex]Decrease\%=22\%[/tex]

Therefore, the percent decrease of the sale price from the regular price is 22%.

Answer:

C $973.39

Step-by-step explanation:

the answer is C on e2020

Answer:

⬇⬇⬇

Answer:

d one i think

hope it helps

the sum of triangle is 180 degree

Answer:

18

Step-by-step explanation:

If 12 is one-third of a number, to find the number, we have to multiply 12x3, which equals 36. To find one-half of 36, divide 36/2, which equals 18.

Hope this helped you!! Have a wonderful day C:

The fraction of one-half of the number such that one-third of it is 12 will be 18.

In such a fraction, the value that appears above the horizontal line is referred to as the numerator.

In another word, the fraction is the division of the two numbers but the division is not wholly complete.

Suppose that number is x.

One-third = (1/3)x

It is equal to 12 so,

(1/3)x = 12

x = 36

Now one-half of 36 will be (1/2)36 = 18

Hence "The fraction of one-half of the number such that one-third of it is 12 will be 18".

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Answer:

so i checked on many apps cause im kinda stupid and didnt know and they all said a=11/13 but you could wait for sum1 else to answer

Step-by-step explanation:

Answer: Yes, Susie can fit all her apples in her baskets.

Step-by-step explanation: If she has 26 baskets filled of apples and can hold 12 apples each, then she can fill 2 baskets with apples and have a remainder of 2 apples left.

Answer:

4/6, 8/12, 20/30

Step-by-step explanation:

They are equivalent to 2/3, because they can all be simplified to 2/3.

For example, 2 x 2 = 4 and 2 x 3 = 6; this gives me 4/6. I multiplied 2/3 by 2/2.

SO it can also be 2/3 = 4/6= 6/9 = 8/12 = 10/15 = 12/15 = 15/18 = 18/21 = 21/24 etc.

~hope it's right

Answer:

27

Step-by-step explanation:

3*9=27

hope this helps :3

if it did pls mark brainliest

Answer:

He will have played 27 tennis matches

Step-by-step explanation:

I know he will have played 27 tennis matches because 3 tennis matches every week for 9 weeks that's 3x9 which equals 27.

Answer:

c=2pi times r

c= 2 times pi times 4

c=25.1327

c= 25.13

Answer:

Larger number:

16

Smaller number

3

Step-by-step explanation:

Larger number: 16

Smaller number: 3

Explanation:

Suppose the larger number is

a

and the smaller number is

b

.

You solve the following system of equations:

a⋅b=48

a−13=b

Since b is a −13, you can plug that into a⋅b=48, so...a⋅(a−13)=48

a 2−13a=48

a2−13a−48=0

Factor the polynomial:

(a−16)(a+3)=0

a=16 or a=−3a is positive so a=16.

We can now solve for b by plugging in a, so...16−13=b3=b We have a=16 and b=3, meaning that the larger number is 16 and the smaller number is 3.

Answer:

1)

a. $6

b.$10

c. 2x

d. $3

e. $9

f. 2y

g. $22

h. $21.5

i. 2x + 1.5y

2)

a. 2x + 1.5y = 22

b. You could buy 2 tickets and 12 snacks

Step-by-step explanation:

Answer:

1000x

Step-by-step explanation:

Answer:

case a) y=1/3x+8

case b) y=-3x+28

Step-by-step explanation:

case a)

parallel lines has the same slope, then, the searched line has the form:

[tex]y=\frac{1}{3} x +b[/tex]

Now, in order to find b, we must use the given point (6,10). By substituying this point into the last equation, one has

[tex]10=\frac{1}{3} 6+b\\10=\frac{6}{3} +b\\10=2+b\\b=10-2\\b=8[/tex]

Then, the line equation is y=1/3x+8

case b)

the slope of a perpendicular line is the "negative reciprocal" of the slope of the original line, that is

[tex]m=-\frac{1}{\frac{1}{3} } \\m=-3[/tex]

Hence, the searched line has the form y=-3x + b. Now, in order to find the y-intercept b, we must use the given point (6,10). Therefore,

[tex]10=-3(6)+b\\10=-18+b\\b=10+18\\b=28[/tex]

Hence, the searced equation is y=-3x+28

Answer:

2/11

Step-by-step explanation:

thats the probability

Answer:

2/11

Step-by-step explanation:

Answer:its a or b

Step-by-step explanatio

Answer:

The answer is (2)

Step-by-step explanation:

We know that to the distance between two numbers on a number line, we subtract the smaller number from the larger number. For instance, the difference between [tex]5[/tex] and [tex]3[/tex] is simply [tex]5-3[/tex], which is [tex]2[/tex]. With that being said, variables such as [tex]p[/tex] or [tex]q[/tex] differ from a question to another. Sometimes, the [tex]p[/tex] is larger, but sometimes the [tex]q[/tex] is. If we don’t know which one is which, we can subtract them in any order and take the absolute value of that result. If the result of subtraction is positive, great! The absolute value of that is still positive ([tex]5-3=2\\|5-3|=2[/tex]) If it’s not, now it is! (e.g., [tex]|3-5|=2[/tex]! Therefore, the answer is (2) [tex]|p-q|[/tex].

Answer:

5y  = x + 11

Step-by-step explanation:

Given parameters:

  Equation of the line ;

           y  = -5x + 1

  Coordinates = (2, -1)

Find the equation of a line perpendicular;

Solution:

A line perpendicular to  y  = -5x + 1  will have slope that is a negative inverse of the given one.

Equation of a straight line is expressed as;

           y  = mx + c

y and x are the coordinates

m is the slope

c is the y-intercept

        So, the slope of the new line perpendicular is [tex]\frac{1}{5}[/tex] ;

Now let us find the y-intercept of the new line;

   x = -1 and y = 2

      2  = [tex]\frac{1}{5}[/tex] x (-1) + c

           c  = 2 + [tex]\frac{1}{5}[/tex]   = [tex]\frac{11}{5}[/tex]  

The equation of the new line is;

          y  =  [tex]\frac{1}{5}[/tex]x +  [tex]\frac{11}{5}[/tex]  

or multiply through by 5;

        5y  = x + 11

Answer:

what is the question

Step-by-step explanation:

Answer:

Answer -2/1

Step-by-step explanation:Slope is the number in front of x

Answer:

E

Step-by-step explanation:

RSM proves correct

The value of a given function is required.

So, the answer is (E)83.

The given function [tex]f(x)[/tex] is the sum of all prime numbers less than [tex]x[/tex].

The required function is [tex]f(86)-f(82)[/tex]

[tex]f(86)=2+3+5+7+11+13+17+19+23+29+31+37+41+43+47+53+59+61+67+71+73+79+83[/tex]

[tex]f(83)=2+3+5+7+11+13+17+19+23+29+31+37+41+43+47+53+59+61+67+71+73+79[/tex]

[tex]f(86)-f(83)=2+3+5+7+11+13+17+19+23+29+31+37+41+43+47+53+59+61+67+71+73+79+83-(2+3+5+7+11+13+17+19+23+29+31+37+41+43+47+53+59+61+67+71+73+79)=83[/tex]

All numbers become get subtracted except for 83.

So, the answer is (E)83.

Learn more:

https://brainly.com/question/15735373

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Answer:

the answ

Step-by-step explanation:

It would be 18x-3y=21 then it would be -3y=21-18x than it would be y=21/-3-18x/-3 then the answer would be y=-7+6x than the answer would be y=6x-7

Answer: x=8

for every 5 there is 2

so for x=8

there are four 5's in 20

I hope this is good enough:

Answer:

x = 8

Step-by-step explanation:

I can confirm this is right I took test

Answer:

Step-by-step explanation:

5.23x+3.76-3.67x+6.39

x(5.23-3.67) +(3.76+6.39)

1.56x + 10.15

Answer:

1.56x + 10.15

Step-by-step explanation:

(5.23x + 3.76) – (3.67x – 6.39)

(a + b) – (c – d) = a + b – c + d

Remove the parentheses and change the signs as needed:

5.23x + 3.76 – 3.67x + 6.39.

Group the like terms and simplify:

5.23x – 3.67x + 3.76 + 6.39

1.56x +10.15.

Answer:

$10

Step-by-step explanation:

there are 2000 pounds in a ton

so 3*2000=6000

6000/600=10

hope this helps :3

if it did pls mark brainliest

Answer:

3 tons of cement costs $10 per pound.

Step-by-step explanation:

1 ton equals 2000 pounds.

3 tons = 6000 pounds

To calculate, we must divide the weight in pounds by the cost.

6000/600 = 10

I hope this was helpful to you! If it was, please consider rating, pressing thanks, and marking my answer Brainliest. It would help a lot. Have a fantastic day! :)

i cant read itStep-by-step explanation:

Answer: C. The graph is positive on the intervals (-∞,-8) and (-4,3)

Step-by-step explanation: I guessed on my test and got it right. PLATO

Answer:

A= 14

B= -6

C= 2/5

D= 4/3

E= -2

F= 12

Step-by-step explanation: