The control limits, calculated as three standard deviations from the sample mean, imply that _________ of the sample points are expected to fall between the upper and lower control limits.

Answer:

x = {2, 8}

Step-by-step explanation:

(x - 3)^2 = 25

Take the square root of both sides

x - 3 = ±5

Add 3 to both sides

x = ±5 + 3

x = 5 +3 = 8

x = -5 + 3 = 2

x = {2, 8}

Answer:

x = 8, -2

Step-by-step explanation:

[tex](x-3)^2=25[/tex]

[tex](8-3)^2=25[/tex]          Substitute x for 8 the subtract 8 - 3

[tex](5)^2=25[/tex]                Multiply 5 by 5

[tex]25=25[/tex]

[tex](x-3)^2=25[/tex]

[tex](-2-3)^2=25[/tex]       Substitute x for -2 then subtract -2 - 3

[tex](-5)^2=25[/tex]             Multiply -5 by -5

[tex]25 = 25[/tex]

9514 1404 393

Answer:

  408.4 in²

Step-by-step explanation:

The lateral area of a cone is ...

  LA = 1/2πds . . . . . . . where d is the diameter and s is the slant height

Using the given dimensions, the area of the hat is ...

  LA = 1/2π(20 in)(13 in) = 130π in² ≈ 408.4 in²

The surface area is about 408.4 in².

Answer:

option : x is positive

Step-by-step explanation:

[tex]log_2 x = y => x = 2^y[/tex]

Therefore, x is always positive

Answer:

8

Step-by-step explanation:

take the number of people in the audience and multiply by the percent that have green eyes to determine the number with green eyes

80 * 10 %

Change to decimal form

80 *.10

8

Answer:

so, as given 10% have green eyes,

10% of 80

10/100×80

800/100

=8

so 8 people have green eyes

Answer:

39

Step-by-step explanation:

sin^-1(x)= 39/62

x= 38.97

x=39

Answer: x = 7/3

Step-by-step explanation:

You join the X’s first which will give you

6x-14 = 0

Then you move the 14 to the right

6x = 14

Then you dived them and it give you 7/3

Hope this helped

Answer:

either take the value as 3.14 or press     SHIFT      x10^x

Answer:

382 in ^3

Step-by-step explanation:

Answer:

x=45

Step-by-step explanation:

both angles are opposite angles with the same measurements

Set your formula up as

x+30=2x-15

30=2x-15-x

45=x

Now substitute 45 in place of x

x+30

45+30 = 75

2x-15

2*45-15 = 75

2x - 15 = x + 30

2x - 15 + 15 = x + 30 + 15

2x = x + 45

2x - x = x - x + 45

x = 45

Answer:

Step-by-step explanation:

A = (4 , 6)

B = (7 , 4)

C= (5 , 1)

Answer:

y = 1/7x + 3

Step-by-step explanation:

Graph

P1(-7,2)

P2(0,3)

m = y2-y1/x2-x1

m = (3-2)/(0-(-7))

m = 1/0+7

m = 1/7

y - y1 = m(x-x1)

y - 2 = 1/7*(x -(-7))

y-2 = 1/7*(x+7)

y = 1/7x+7*1/7+2

y = 1/7x+1+2

y = 1/7x+3

Multiply the original by the first 50% discount:

40,000 x 0.5 = 20,000

Now multiply that by the second 50 % discount:

20,000 x 0.5 = 10,000

The price would be 10,000 rupees

Answer:

Step-by-step explanation:

[tex]\frac{50}{100}[/tex] × 40 000 = 20 000

Answer:

y = 1x+14

Step-by-step explanation:

The slope intercept form is

y = mx+b where m is the slope and b is the y intercept

y = 1x+b

Substitute the point into the equation

10 = -4+b

Add 4 to each side

10+4 = -4+b+4

14 = b

y = x+14

Answer:

x = 10

Step-by-step explanation:

The bigger triangle is 2 times larger than the smaller triangle meaning all of the value of the smaller triangle are 2 times smaller than the bigger triangle and the bigger triangle is 2 times larger than the smaller triangle

Answer:

x = 10

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

[tex]\frac{x}{5}[/tex] = [tex]\frac{6}{3}[/tex] = 2 ( multiply both sides by 5 )

x = 10

Answer:

The mean is 6.

Step-by-step explanation:

To find the mean you need to do the following.

first, add up all the data to get a total.

next, count the amount of data you have.

lastly, divide the total by the count.

Answer:

6

Step-by-step explanation:

our given database is

2,3,6,6,7,8,8,8

add up all data:

[tex] \displaystyle \rm2 + 3 + 6 + 6+ 7 + 8 + 8 + 8[/tex]

[tex] \displaystyle = 48[/tex]

count the amount of data:

[tex] \displaystyle \boxed{ \begin{array} {ccc} \text{we have two 1 time} \\\text{we have three 1 time} \\ \text{we have six 2 times} \\ \text{we have seven 1 time} \\ \text{we have eight 3 time} \\ \hline \text{total} \quad \quad8\end{array}}[/tex]

divide the total by the count:

[tex] \displaystyle \frac{48}{8} [/tex]

[tex] \displaystyle = 6[/tex]

hence,

the mean of the database is 6

Answer:

I think this is the answer 36 unit

Answer:

Step-by-step explanation:

Since AB = AC and the triangle is isosceles:

The angles:

Answer:

Is there answer choices?

Step-by-step explanation:

Answer:

Is there answer choices?

Step-by-step explanation:

Answer:

y=-25x+225

Step-by-step explanation:

The slope is -25 and I think the y-intercept is 225.

Hope this helps.

Answer:

r > 6.25 or r> -25/4

Step-by-step explanation:

[tex]16r > -100\\\\r > \frac{-100}{16}\\\\r> \frac{-25}{4}\\\\r> 6.25[/tex]

Answer:

step-by-step.

16r>−100

Step 1: Divide both sides by 16.

16r/16 > - 100/16

r> - 25/4

Step-by-step explanation:

Answer is r>-25/4

Answer:

Graph the line starting at the y intercept (-5), count up 1 and left 3 (because [tex]\frac{1}{3}[/tex] is negative). Once you have a few points draw the line to connect them.

Step-by-step explanation:

the slope is negative and the y-intercept is at -5

Answer:

5/9

Step-by-step explanation:

You started with 10 marbles total. You removed one marble and did not replace it, so you now have 9 marbles. The marble that you removed was NOT a gold marble, so you still have 5 gold marbles.

This means that out of the 9 marbles that you have left, 5 of them are gold.

This means you have a 5/9 chance of drawing a gold marble next.

Answer:

The value of the mutual force between them is 3.6 x 10⁶ N

Step-by-step explanation:

Given;

distance between the two-point charges, r = 2000 m

the value of the two-point charges, q₁ and q₂ = 40 C and -40 C

Coulomb's constant, k = 9 x 10⁹ Nm²/C²

The value of the mutual force between them is calculated by applying Coulomb's law;

[tex]F = \frac{K|q_1|q_2|}{r^2} \\\\F = \frac{(9 \times 10^9)(40\times 40)}{(2000)^2} \\\\F = 3.6 \times 10^6 \ N[/tex]

Therefore, the value of the mutual force between them is 3.6 x 10⁶ N.

option 3

option2

hope helps you

have a nice day

1. The curve is a parabola with a vertex at (2,1) and is traced from left to right for increasing values of t.

Step-by-step explanation:

1. explanation is in the image

Answer:

no it's equal to 3/2 because 2 negatives equal a positive number

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

No, it's not equivalent

Step-by-step explanation:

[tex]-(\frac{3}{2} ) = 1\frac{1}{2\\}[/tex]

[tex]-\frac{3}{2} = -1\frac{1}{2}[/tex]