-6x+8y=12 and -3x+4y=6

Answer:

The 98% confidence interval for the population proportion of disks which are defective is (0.082, 0.118).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

Suppose a sample of 1536 floppy disks is drawn. Of these disks, 1383 were not defective.

1536 - 1383 = 153

This means that [tex]n = 1536, \pi = \frac{153}{1536} = 0.1[/tex]

98% confidence level

So [tex]\alpha = 0.02[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.02}{2} = 0.99[/tex], so [tex]Z = 2.327[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.1 - 2.327\sqrt{\frac{0.1*0.9}{1536}} = 0.082[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.1 + 2.327\sqrt{\frac{0.1*0.9}{1536}} = 0.118[/tex]

The 98% confidence interval for the population proportion of disks which are defective is (0.082, 0.118).

Answer:

It's Positive

Step-by-step explanation:

Answer:

Step-by-step explanation:

From the given table,

Ratio of each successive term in the row showing salary (y) is,

Ratio = [tex]\frac{30}{15}[/tex] = 2

Therefore, function representing the relation between average salary (y) and years (x) will be the exponential function.

y = a(b)ˣ

For x = 0, y = 15,

15 = a(b)⁰

a = 15

For x = 1, y = 30,

30 = 15(b)¹

b = 2

Therefore, exponential function Or exponential model will be,

y = 15(2)ˣ

Projected salary in 9 years [For x = 9],

y = 15(2)⁹

y = 15 × 512

y = $7680

For the salary more than $3 million [For y = $3000000],

3000000 = 15(2)ˣ

2ˣ = 200000

log(2)ˣ = log(200000)

xlog2 = log(2×10⁵)

xlog2 = log2 + log(10)⁵

(x - 1)log2 = 5

x - 1 = [tex]\frac{5}{\text{log2}}[/tex]

x = 16.609 + 1

x = 17.609

x ≈ 17.61 years

Answer:

8

i hope this will help you

Answer:

Geometric

Step-by-step explanation:

starting point : 800

800 , 1600 , 3200

Good luck .

Answer:

D. The median for box plot X is the same as the lower quartile as box plot Y.

Step-by-step explanation:

If you look at box plot X, its median is at 6. Also, the lower quartile for box plot  Y is 6 as well. That means that D. is the correct answer. Hope this helps!

Answer:

Below

Step-by-step explanation:

I'm pretty sure it may be B, and D

D because when you look at it X's plot does have the median line up with Y's Lower quartile

And using the rule of crossing out answers that are incorrect I am left with B, because the medians and different and X's lower quartile is smaller than Y's

9514 1404 393

Answer:

  a) max height: 210.25 feet

  b) time: 7 seconds

Step-by-step explanation:

Since this is about graphing quadratics, it seems appropriate to use a graph produced by a graphing calculator. It shows ...

  maximum height: 210.25 feet

  time to hit the ground: 7 seconds

Answer:

3x² - 3x

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

3x(x - 1)

Step 2: Expand

Answer:

Left yes

right no

Step-by-step explanation:

that goes for top and bottom

Answer:

More Expensive

Step-by-step explanation:

If they left a tip, that means they would have to pay the full amount of the meal plus 20% fo whatever the full amount was, so they'd pay more.

Answer:

90.35

Step-by-step explanation:

its on envisions

8-2 quiz

Answer:

a. 1.91

Step-by-step explanation:

because I think I'm lucky today

Answer:

edfghjnsdfghjkm

Step-by-step explanation:

Answer:

1 and -8

Step-by-step explanation:

I just substituted them until I found the correct one.

Hope this helps ^-^

9514 1404 393

Explanation:

Statement .... Reason

( ) .... Given (repeat of the given statements)

ΔACB ≅ ΔDCE .... SAS postulate

BA ≅ ED .... corresponding parts of congruent triangles are congruent

Answer:

x = 7.31 cm

Step-by-step explanation:

cos 70° = 3.8/AB

0.3420 = 3.8/AB

AB = 11.11 cm

x = 11.11 - 3.8 = 7.31 cm

The value of x which is the radius of circle A is 7.31 cm

An equation is an expression that shows the relationship between two or more numbers and variables.

AB = AC, hence ∠B = ∠C = 70°

∠A + ∠B + ∠C = 180° (angles in a triangle)

∠A + 70 + 70 = 180

∠A = 40°

BC = 3.8 + 3.8 = 7.6

Using sine rule:

BC/sinA = AB / sinB

7.6/sin(40) = AB/sin(70)

AB = 11.11 cm

x = 11.11 - 3.8 = 7.31 cm

The value of x which is the radius of circle A is 7.31 cm

Find out more on equation at: https://brainly.com/question/2972832

9514 1404 393

Answer:

  x = ∛4 ≈ 1.587 m

  y = (∛4)/2 ≈ 0.794 m

Step-by-step explanation:

Short answer:

An open-top box will use minimum material when it has the shape of half a cube. That is, the x-dimensions will be ...

  x = ∛(2·2 m³) = ∛4 m

The y-dimensions will be half that:

  y = x/2 = (∛4)/2 m

__

Long answer:

The volume is ...

  V = x^2·y

so the y-dimension is ...

  y = V/x^2

The area of the sides and bottom will be ...

  A = 4xy + x^2

  A = 4x(2/x^2) +x^2 = 8/x +x^2

The area is minimized when the derivative of this is zero.

  A' = 0 = -8/x^2 +2x

  x^3 = 4 . . . . . . . divide by 2 and rearrange

  x = ∛4 . . . . . . . . cube root

  y = 2/x^2 = 2∛4/4

  y = (∛4)/2

___

Additional comment

If you follow the numbers through, you see that the value under the cube-root radical is twice the volume. This is the result we used in the "short answer."

Answer

20384

Step-by-step explanation:

Answer:

The value of the parameter of interest in this setting is 0.5747.

Step-by-step explanation:

The parameter of interest is:

The proportion of small- to medium-sized streams in eastern North Carolina which have runoff from hog farms in order to prepare for issues arising from water quality in the aftermath of hurricanes.

A random sample of 174 small- to medium-sized streams is selected and it is found that 100 of them have runoff from hog farms.

This means that the value of the parameter of interest is:

[tex]p = \frac{100}{174} = 0.5747[/tex]

The value of the parameter of interest in this setting is 0.5747.

Answer:

7

Step-by-step explanation:

The two angles + 90 degrees equals 180 degrees

So it is sufficient to say that the two angles equals 90 degrees

6r - 7 + 55 = 90

6r + 48 = 90

6r = 42

r = 7

Answer:

Steps:

x = √(15²-10²)

x = √(225-100)

x = √125

x ≈ 11.180

Answer:

Kindly check explanation

Step-by-step explanation:

Given that:

Length of remnant fabric = 9.7m

Number of 0.85m length needed for patio = 12

Total length needed = (0.85 * 12) = 10.2m

The length of fabric needed is more than the length of remnant fabric found ;

10.2 m - 9.7m = 0.5m

Hence, Alex will need 0.5m more fabric

Step-by-step explanation:

Im donating points thank you

Answer:

do you have a graph? we can't do it unless you have one.

Answer:

B) Angle 2 and Angle 3

Step-by-step explanation:

Angle 2 and Angle 3 are equal since they're vertical angles and aren't supplementary

Angle 7 and 8 are supplementary

Angle 1 and 7 are supplementary

Honestly, i have no clue with angle 4 and angle 4. I just know that vertical angles aren't supplementary because they're equal to each other so I'll assume this is the case as well.

Answer:

1.653

Step-by-step explanation:

Write log45 as a product of its prime factors

log45= log3^2 * log5

Substitute the given logarithms to the respective numbers.

Remember the laws of logaarithms that * changes to +

log 45 = 0.477*2 + 0.699

You will find that log 45 = 1.653

From the given logarithmic values the value of log45 derived as 0.1590.

In mathematics, the logarithm is the inverse function to exponentiation. That means the logarithm of a number x to the base b is the exponent to which b must be raised, to produce x.

Given that, log5=0.699 and log3=0.477.

Here, log45 can be written as log9×log5=log3²×log5

= 0.477²×0.699

= 0.1590

Therefore, the value of log45 is 0.1590.

To learn more about the logarithmic equation visit:

https://brainly.com/question/14406101.

#SPJ2

Find the surface area of a cylinder

whose radius is 5 cm and whose

height is 10 cm.

[tex] \bullet [/tex] Radius of a cylinder (r) is 5 cm

[tex] \bullet [/tex] Height of a cylinder (h) is 10 cm

The surface area of a cylinder

We know the formula of surface area of a cylinder is –

So, putting the value of r = 5 cm and h = 10 cm we get,

2πr(r + h) = 2 × [tex] \frac{22}{7} [/tex] × 5(5 + 10)

= [tex] \frac{220}{7} [/tex](5 + 10)

= [tex] \frac{220}{7} [/tex] × 15

= [tex] \frac{220 \: × \: 15}{7} [/tex]

= [tex] \frac{3300}{7} [/tex]

= 471.43 cm²

Answer:

C. 5

Step-by-step explanation:

Use the Distance Formula.

Substitute the values of x1 , y1 , x2 , and y2 .

|AB|² =|(1--2)²+(10-6)²|

|AB|² = |9+16|

|AB| = √ 25

|AB| =5

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

Answer:

( 3.14 ) ( 3.14 ) ( 3.14 ) * x * x * x * x

=3.14 * 3.14 * 3.14 * x * x * x * x

=30.959144 * x^4

=30.959144x^4

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

Answer:

30.959144(x^4)