PLEASE HELP The mean life expectancy of a certain type of light bulb is 860 hours with a standard deviation of 22 hours.

What is the approximate standard deviation of the sampling distribution of the mean for all samples with n = 65?


0.34 h


0.75 h


2.73 h


2.95 h

Answer:

4 + 2.5x=cost

Step-by-step explanation:

Answer: The equation of a line that passes through the point (5, −4) and is parallel to the line whose equation is 2x + 5y = 10 is y = (-2/5)x - 2

Step-by-step explanation: The equation of a straight line is given by:

y = mx + b

where y, x are variables, m is the slope of the line and b is the y intercept.

The slope of the line 2x + 5y = 10 is:

2x + 5y = 10

5y = -2x + 10

y = -2/5x + 10

Hence the slope of the line 2x + 5y = 10 is -2/5

Since both lines are parallel, hence the slope of the other line is the same (-2/5). Hence the equation of the line is:

The equation of a line that passes through the point (5, −4) and is parallel to the line whose equation is 2x + 5y = 10 is y = (-2/5)x - 2

Isolate y

[tex]\\ \sf\longmapsto 5y=-2x+10[/tex]

[tex]\\ \sf\longmapsto y=-2/5x+2[/tex]

Parallel line has equal slope

Equation of line in point slope form

[tex]\\ \sf\longmapsto y-y_1=m(x-x_1)[/tex]

[tex]\\ \sf\longmapsto y+4=-2/5(x-5)[/tex]

[tex]\\ \sf\longmapsto 5y+20=-2x+10[/tex]

[tex]\\ \sf\longmapsto 2x+5y+10=0[/tex]

Answer:

take any value of x and substitute such as x is 0

y will be plus 6 so (0,6)

y is 0 so x will be minus 6 so (-6,0)

Step-by-step explanation:

take any value of x and y and substitute

Mark as brainliest!!!

Answer:

 19.9202745546

Step-by-step explanation:

54 will be your answer...

Answer:

huh? did you mean to send in tgis as a question or something???

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

When divding numbers with the same base you subtract the exponents ~

Answer:

subtracts

Step-by-step explanation:

hope this helps

Hi ;-)!

Here, from the options given, the answers are:-

i) 4 & 5

ii) 30

iii) 29

Answer:

168

Step-by-step explanation:

If entire number of attendees = y

then number of women = y* (72/100)

since y* (72/100) = 432 ( given)

y =( 432*100)/72

so, y = 600

since men made up the remaining 28% of attendees ,

number of men = y * (28/100) = 600* (28/100)

number of men = 168

Answer:

Step-by-step explanation:

y - 10 = -2(x - 10)

y - 10 = -2x + 20

y = -2x + 20 + 10

y = -2x + 30

When x = 0  ;   y = 0 + 30 = 30         ;  (0,30)

When x = 10 ;   y = -2*10 + 30 = -20 +30 = 10   ; (10 , 10)

When x = 5  ;  y = -2*5 + 30 = -10 + 30 = 20    ; (5 , 20)

Plot ( 0 ,30) ; (10,10)  & (5,20)

Answer:

Step-by-step explanation:

Perimeter = P = 4a where a is each side of square

P = 4(353) = 1412

Area = a^2 where a is each side

A = (353)^2 = 124,609

Answer:

$3.50

Step-by-step explanation:

111 is a sixth of 666 so its 21/6 which is 3 dollars 50 cents.

Answer:

85/8 = 10.625

= 10.6

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

Answer:

by gaining or losing electrons

Step-by-step explanation:

hope it helped

brainliest pls

Answer:

(A) 8.6

Step-by-step explanation:

distance =√((x_2-x_1)²+(y_2-y_1)²)

the actual distance is 8.602325.

rounded distance is 8.6

Answer:

24 square meters of wallpaper

Step-by-step explanation:

Hope this helps.

Answer:

y=55

z=38

x=84

Step-by-step explanation:

Important thing to understand is that the angles in a triangle all add up to 180

A straight line also has an angle measure of 180

In the triangle on the left hand side. You can find y pretty easily

35+90 ( the angle is marked as a right angle) = 125

180-125 = 55

so y = 55

z can be found the same way

52+90 ( again marked) = 142

180-142 = 38

so z = 38

Since a straight line has a angle measure of 180 we can find x

z+y+x = 180

38+55+x=180

96+x=180

x=84

z:-

x

y:-

[tex]-4[/tex] is a part of the solution set to all of the inequalities

We will consider each inequality in turn:

For [tex]x>-5[/tex]:

The solution set is [tex]\{{-4,-3,-2,-1,...\}[/tex]

So [tex]-4[/tex] is a part of the solution set of [tex]x>-5[/tex]

For [tex]2>x[/tex], or [tex]x<2[/tex]:

The solution set is [tex]\{{1,0-1,-2,-3,-4,...\}[/tex]

So [tex]-4[/tex] is a part of the solution set of [tex]2>x[/tex]

For [tex]3x+4\ge -8[/tex]:

We have to solve first

[tex]3x+4\ge -8\\3x\ge -8-4\\3x\ge -12\\x\ge -4\\[/tex]

The solution set is [tex]\{{-4,-3,-2,-1,0,...\}[/tex]

So [tex]-4[/tex] is a part of the solution set of [tex]3x+4\ge -8[/tex]

For [tex]5x\le 2x-3[/tex]:

We have to solve first

[tex]5x\le 2x-3\\5x-2x\le-3\\3x\le-3\\x\le-1[/tex]

The solution set is [tex]\{{-1,-2,-3,-4,-5,...\}[/tex]

So [tex]-4[/tex] is a part of the solution set of [tex]5x\le 2x-3[/tex]

For [tex]-6<4-2x[/tex]:

We have to solve first

[tex]-6<4-2x\\2x<4+6\\2x<10\\x<5[/tex]

The solution set is [tex]\{{4,3,2,...,-3,-4,-5,...\}[/tex]

So [tex]-4[/tex] is a part of the solution set of [tex]-6<4-2x[/tex]

So, [tex]-4[/tex] is a part of the solution set of all the inequalities.

Learn more about inequalities here: https://brainly.com/question/278997

Answer:

19 2/3

Step-by-step explanation:

32 ft minus 12 and 1/3 ft is 19 and 2/3 ft.

Answer:

10.55.

Step-by-step explanation:

no

Answer:

71

Step-by-step explanation:

Answer:

almost 3 mph so I'm guessing (d) is the answer

Step-by-step explanation:

35  ÷ 12 = 2.9 miles per hour

Answer:

4

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

x          

 (— -  6) -  2  = 0

  4          

6     6 • 4

   6 =  —  =  —————

        1       4

x - (6 • 4)     x - 24

———————————  =  ——————

     4            4

 (x - 24)    

 ———————— -  2  = 0

    4        

        2     2 • 4

   2 =  —  =  —————

        1       4

(x-24) - (2 • 4)     x - 32

————————————————  =  ——————

       4               4

 x - 32

 ——————  = 0

   4  

x-32

 ———— • 4 = 0 • 4

  4  

x-32

Answer:

  (x, y) = (1, 2)

Step-by-step explanation:

The method of elimination works best when the coefficient of a variable in one equation is equal or opposite the coefficient of the same variable in the other equation.

Here, we notice that all of the coefficients of the second equation are multiples of 2. When we divide that equation by 2, we get ...

  x -y = -1

This equation has a y-coefficient that is the opposite of the y-coefficient in the first equation. We can eliminate the y-variable by adding these equations together.

  (3x +y) +(x -y) = (5) +(-1)

  4x = 4 . . . . . . . simplify. Notice the y-variable has been eliminated.

  x = 1 . . . . . . . . divide by 4

Using this value of x in the second equation, it tells us ...

  1 -y = -1

Adding y+1 to both sides of this equation gives ...

  2 = y

The solution to the system of equations is (x, y) = (1, 2).

__

The graphing calculator confirms this solution.

Answer:

At the bottom of the text.

Step-by-step explanation:

The triangle is isosceles. The measure of the two internal angles J and K are equal; The misure of the external K angle (2) is half a circle minus the internal K (1). The internal angle in R is calculated by difference between 180 and twice the internal K angle (1).

1. 72° as well.

2. 180-70-70 = 40°

3. [tex]m\angle2 = 110 \rightarrow m\angle1 =70[/tex], Same as #2: 40°

4. [tex]x+2x+2x = 180 \rightarrow 5x=180 \righarrow x= 36[/tex]

5. [tex]x +(x+30)+(x+30) = 180 \rightarrow 3x +60 = 180 \rightarrow 3x= 120 \rightarrow x=40[/tex]

Answer:

28

Step-by-step explanation:

Answer: 10 and 11 or -11 and -10

Answer:

Step-by-step explanation:

10 and 11 or -10 and -11

Answer:

a1=130;an=an−1+10

Step-by-step explanation:

The answer is the third one.

She starts with 130

a1 = 130

She adds 10 every month.

So you take the number she had last month (represented by a_n-1) and adds 10.

Answer

a1 = 130

an = an_1 + 10

C

Answer:

HL.

Step-by-step explanation:

Triangles  FEH and FGH are congruent

They are both right angles and the  hypotenuse and  a leg ( the side FH) are both equal in length.

Answer:

Store A would be the least expensive.

Step-by-step explanation:

Store A

70*0.10=7

70-7=63

63*0.10=6.30

63-6.30=57.70

$57.70

Store B

80-15=65

65*0.10=6.50

65-6.50=58.50

$58.50

Store C

90*0.10=9

90-9=81

81-20=61

$61