A pattern for a skirt calls for 1 7/8 yd of fabric. If Mary
Kate wants to make one skirt for herself and one for her
twin, how much fabric will she need?

Using the binomial distribution, it is found that:

0.3677 = 36.77% probability that more than 1 of these parts are defective.

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For each part, there are only two possible outcomes. Either they are defective, or they are not. The probability of a part being defective is independent of any other part, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of a success.

At a certain auto parts manufacturer, the Quality Control division has determined that one of the machines produces defective parts 18% of the time.

This means that [tex]p = 0.18[/tex]

A random sample of 7 parts produced by this machine is chosen.

This means that [tex]n = 7[/tex]

Find the probability that more than 1 of these parts are defective.

This is:

[tex]P(X \geq 1) = 1 - P(X < 1)[/tex]

In which

[tex]P(X < 1) = P(X = 0) + P(X = 1)[/tex]

Thus

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{7,0}.(0.18)^{0}.(0.82)^{7} = 0.2493[/tex]

[tex]P(X = 1) = C_{7,1}.(0.18)^{1}.(0.82)^{6} = 0.3830[/tex]

Then

[tex]P(X < 1) = P(X = 0) + P(X = 1) = 0.2493 + 0.3830 = 0.6323[/tex]

[tex]P(X \geq 1) = 1 - P(X < 1) = 1 - 0.6323 = 0.3677[/tex]

0.3677 = 36.77% probability that more than 1 of these parts are defective.

For more on the binomial probability distribution, you can check https://brainly.com/question/15557838

[tex]\boxed{\sf (x,y)=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)}[/tex]

[tex]\\ \sf\longmapsto \left(\dfrac{3+4}{2},\dfrac{-9+8}{2}\right)[/tex]

[tex]\\ \sf\longmapsto \left(\dfrac{7}{2},\dfrac{-1}{2}\right)[/tex]

Answer:

Hello,

Step-by-step explanation:

[tex]|AD|^2=(3-(-1))^2+(0-(-1))^2=16+1=17\\\\|AB|^2=1^2+3^2=10\\\\\boxed{Perimeter=2*\sqrt{17} +2*\sqrt{10}}[/tex]

Answer:

2*√10 + 2*√17

Step-by-step explanation:

In order to find the perimeter we must find the length of each side

To find the length of the sides we must use the distance formula

Distance formula:

d = √ ( x2 - x1 )² + ( y2 - y1 )²

Where the x and y values are derived from the points of each side

First let's find the length of AB

Coordinates of A: (-1,-1)

Coordinates of B: (0,2)

* Define variables *

( Remember coordinates are written as (x,y))

x1 = -1

x2 = 0

y1 = -1

y2 = 2

Now to find the length of AB we simply plug in the values of x and y into the distance formula

d = √ ( x2 - x1 )² + ( y2 - y1 )²

x1 = -1, x2 = 0, y1 = -1, y2 = 2

* Plug in values *

d = √(0 - (-1))² + (2 - (-1))

If there are two negative signs in front of a number then the two negative signs cancel out and the sign changes to +

d = √(0+1)² + (2+1)²

Simplify addition

d = √(1)² + (3)²

Apply exponents

d = √1 + 9

Simplify addition

d = √10

So the length of AB is √10

One of the properties of a parallelogram is that the opposite sides are congruent.

So the opposite side of AB (CD) is also equal to √10

Next we need find the length of AD

We use the same process we used for finding the length of AB

Coordinates of A: (-1,-1)

Coordinates of D: (3,0)

*Define variables*

x1 = -1

x2 = 3

y1 = -1

y2 = 0

Plug in the values of x and y into the formula ( formula is d = √ ( x2 - x1 )² + ( y2 - y1 )² )

*Plug in the values of x and y )

d = √( -1 - 3 )² + ( 0 - (-1)²

Simplify subtraction and addition

d = √(-4)² + (1)²

Apply exponents

d = √16 + 1

Add

d = √17

So the length of AD is √17

Like stated previously opposite sides in a parallelogram are congruent so the opposite side of AD (BC) also has a length of √17

Now to find the perimeter,

The perimeter is the sum of the side lengths

Side lengths of the parallelogram shown:

AB = √10

BC = √17

CD = √10

DA = √17

Perimeter = √10 + √17 + √10 + √17 = 2*√10 + 2*√17

Answer:

Take a look at this: https://brainly.com/question/14269575?referrer=searchResults

Step-by-step explanation:

Answer:

<ADC=90

therefore AC= 20 using Pytagoras

BAC is a right angle triangle because it belongs to the Pytagoras theorem:25,20,15 i.e 25²=15²+20²

3) I DON'T THINK PQR IS A RIGHT ANGLE TRIANGLE because it doesn't belong to the Pytagoras triple.

Answer:

the sum of c minus 2 multiplied by d ------> (c-2)d

Answer:

The answer is 527.5km^3 .

Step-by-step explanation:

The formula for cylinders is πr2h. (pie times twice the height)

3.14(12)(2)(7) = 527.52

[tex]1010\pi \: {km}^{3} [/tex]

Step-by-step explanation:

The explanation is in the picture!

Answer:

slope is ⅔

Step-by-step explanation:

[tex]slope = \frac{y_{2} - y_{1}}{x _{2} - x_{1} } \\ \\ = \frac{ - 1 - 1}{ - 1 - 2} \\ \\ = \frac{ - 2}{ - 3} \\ \\ = \frac{2}{3} [/tex]

Answer:

2/3

Step-by-step explanation:

We can us the slope formula

m = ( y2-y1)/(x2-x1)

   = (-1 -1)/(-1 -2)

    = -2 / -3

   = 2/3

Let x = 3.191919…. Then 100x = 319.191919…, and we have

100x - x = 319.191919… - 3.191919…

99x = 316

x = 316/99

Next, we have

316 = 297 + 19 = 3 × 99 + 19

so

316/99 = (3 × 99 + 19)/99 = 3 + 19/99

Answer:

y+6 = 3(x-4)

Step-by-step explanation:

Point slope form is

y-y1 = m(x-x1) where m is the slope and (x1,y1) is a point on the line

y - -6= 3(x - 4)

y+6 = 3(x-4)

Answer:

M=-73/8

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The sum means +, 24 or greater means ≥ 24

The product means multiplying. less than 60 means < 60

I don't really know how else to explain, so if you still don't understand, sorry.

I hope this helps!

pls ❤ and mark brainliest pls!

Answer:

The mean will be 22.436363636364.. or 22.4 (rounded to the nearest tenth)

you add them then divide by 22 since it has 22 terms, to find the mean

Answer:

use a calculator and add all values and divide by 22

u et final value as ( as per me not sure..maybe mistake) is

493.6/22 and ans Is 22.4363636364

Answer:

Positive/negative = negative

Negative/positive = negative

So -2 ÷ 8 and 15 ÷ (-5) are going to have negative quotients.

Let me know if this helps!

Answer:

[tex]A=2044[/tex]

Step-by-step explanation:

Note that [tex]x\in\mathbb{W}[/tex] denotes that [tex]x[/tex] is a whole number.

By definition, consecutive numbers follow each other when we count up (e.g. 1, 2, 3).

Let's consider our conditions:

Since B is a multiple of 5, the ones digit of B must be either 0 or 5. However, notice that the number before it, A, needs to be a multiple of 4. The ones digit of a number preceding a ones digit of 0 is 9. There are no multiples of 4 that have a ones digit of 9 and therefore the ones digit of B must be 5.

Because of this, we've identified that the ones digit of A, B, and C must be 4, 5, and 6 respectively.

We can continue making progress by trying to identify the smallest possible whole number greater than 2,000 with a units digit of 6 that is divisible by 6. Notice that:

[tex]2000=2\mod6[/tex]

Therefore, [tex]2000-2=1998[/tex] must be divisible by 6. To achieve a units digit of 6, we need to add a number with a units digit of 8 to 1,998 (since 8+8 has a units digit of 6).

The smallest multiple of 6 that has a units digit of 8 is 18. Check to see if this works:

[tex]C=1998+18=2016[/tex]

Following the conditions given in the problem, the following must be true:

[tex]A\in \mathbb{W},\\B\in \mathbb{W},\\C\in \mathbb{W},\\A+1=B=C-1,\\A=0\mod 4,\\B=0\mod 5,\\C=0\mod 6,[/tex]

For [tex]C=2016[/tex], we have [tex]B=2015[/tex] and [tex]A=2014[/tex]:

[tex]A\in \mathbb{W},\checkmark\\B\in \mathbb{W},\checkmark\\C\in \mathbb{W},\checkmark\\A+1=B=C-1,\checkmark\\A=2014\neq 0\mod 6, \times\\B=2015=0\mod 5,\checkmark\\C=2016=0\mod 6\checkmark\\[/tex]

Not all conditions are met, hence this does not work. The next multiple of 6 that has a units digit of 8 is 48. Adding 48 to 1,998, we get [tex]C=1998+48=2046[/tex].

For [tex]C=2046[/tex], we have [tex]B=2045[/tex] and [tex]A=2044[/tex]. Checking to see if this works:

[tex]A\in \mathbb{W},\checkmark\\B\in \mathbb{W},\checkmark\\C\in \mathbb{W},\checkmark\\A+1=B=C-1,\checkmark\\A=2044=0\mod 4,\checkmark\\B=2045=0\mod 5,\checkmark\\C=2046=0\mod 6\checkmark[/tex]

All conditions are met and therefore our answer is [tex]\boxed{2,044}[/tex]

Answer:

y = -3/4(x+4)

Step-by-step explanation:

The point slope formula is given by

y-y1 = m(x-x1)

where m is the slope and (x1,y1) is a point on the line

y-0 = -3/4(x - -4)

y = -3/4(x+4)

Step-by-step explanation:

you can check the answer by putting 5 on the place of B... you will get the lateral surface area

118 m²...

hope it helps

Answer:

-8x -6

Step-by-step explanation:

f(x) = -5x – 4

g(x) = -3x -2

(f+g)(x)  = -5x – 4  +  -3x -2

Combine like terms

            = -8x -6

[tex]\\ \sf\longmapsto 2^3+6^5[/tex]

[tex]\\ \sf\longmapsto 2^3+(2\times 3)^5[/tex]

[tex]\\ \sf\longmapsto 8+2^5\times 3^5[/tex]

[tex]\\ \sf\longmapsto 8+32\times 243[/tex]

[tex]\\ \sf\longmapsto 40+7776[/tex]

[tex]\\ \sf\longmapsto 7784[/tex]

Answer:

2*2*2= 8

6*6*6*6*6= 7,776

7,776+8=

7,784

Answer:

0.28

Step-by-step explanation:

==========================================================

Explanation:

We have a triangle with these three sides.

Use the pythagorean theorem to find b

a^2+b^2 = c^2

b = sqrt(c^2 - a^2)

b = sqrt(82^2 - 80^2)

b = sqrt(324)

b = 18

This is the missing vertical leg of the triangle. And this is also the side opposite angle C.

We have enough information to compute the sine of the angle.

sin(angle) = opposite/hypotenuse

sin(C) = AB/AC

sin(C) = 18/82

sin(C) = (9*2)/(41*2)

sin(C) = 9/41

Equation obtained from the question.

4x² + 2y = 8 .............(1)

2x² = 7..... (2)

Determination of the value of x².

From equation 2,

[tex]2x^{2} = 7[/tex]

Divide both side by 2

[tex]x^{2} = \frac{7}{2}[/tex]

Determination of the value of y

From equation 1,

[tex]4x^{2} + 2y = 8\\ \\But\\\\x^{2} = \frac{7}{2}\\\\Thus\\\\4(\frac{7}{2}) + 2y = 8[/tex]

Clear bracket

[tex]14 + 2y = 8[/tex]

Collect like terms

Divide both side by 2

Therefore, the value of y is –3

Learn more: https://brainly.com/question/10618557

Answer:

9y+1=32y+1+54

collect like terms, a symbol changes once it crosses the equal to sign =

9y-32y=1+54-1

-23y=54

divide both sides by -23

-23y/-23=54/-23

-23 will cancel -23 to give y

y=54/-23

y=-2.4 or 2 whole number 8/23

Answer: y is -54/23

Step-by-step explanation:

Answers:

=========================================================

Explanation:

1/6 of the total number of cartons are small. We have 264 total cartons, so,

1/6 of 264 = (1/6)*264 = 44

We need 44 small cartons.

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2/3 of the total cartons are medium, so,

2/3 of 264 = (2/3)*264 = 176

There are 176 medium cartons.

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So far we calculated there are 44+176 = 220 cartons from the small and medium sizes.

This must mean there are 264 - 220 = 44 large cartons

---------------

Now because:

and

This means we have

Ultimately, we have 352+2112+792 = 3256 eggs in total.

Countless symmetry axis of a parabola is vertical line which divides the parabola into two congruent halves.

The axis of symmetry always passes through vertex of parabola. These will cause the plane to divide into two parts.

The geometric shape may have countless symmetry axis. This actually divides the shape into two halves and creates a mirror like effect.

The x-coordinate of vertex is equation of axis symmetry of parabola. Lets say if we take an example of quadratic equation which is ,

y = ax^2 + bx + c , here in this equation the axis of symmetry is vertical line which is x = - b^2 a

Learn more at https://brainly.com/question/24375722

9514 1404 393

Answer:

Step-by-step explanation:

Let J and M represent the current ages of Jacob and his Mother.

currently:

  M = 3 +9J

in 11 years:

  M+11 = 5 +3(J+11)

Using the first equation to substitute for M in the second, we have ...

  (3 +9J) +11 = 5 +3(J +11) . . . . . substitute for M

  9J +14 = 3J +38 . . . . . . simplify

  6J + 24 . . . . . . . . . . subtract 3J+14

  J = 4 . . . . . . . . . . divide by 6

  M = 3 +9(4) = 39

Jacob is 4 and his mother is 39.

Answer:

Area: x^2+x-6

Perimeter: 4x+2

Step-by-step explanation:

Area: multiply x+3 and x-2 and combine the like terms

Perimeter: multiply the length and width by two, then combine the like terms.