a carpet is laid on a rectangular floor which measures 4meters by 5meters. if the carpet covers 60% of the floor find the area of the carpet ​

Answer:

0.0016 = 0.16% probability that the lot will pass inspection.

Step-by-step explanation:

For each bulb, there are only two possible outcomes. Either it is defective, or it is not. The probability of a bulb being defective is independent of any other bulb, 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 X happening.

Sample of 18 light bulbs

This means that [tex]n = 18[/tex]

30% of the bulbs in the lot are defective.

This means that [tex]p = 0.3[/tex]

What is the probability that the lot will pass inspection?

It will pass inspection if there are no defective bulbs, that is, we have to find P(X = 0). So

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

[tex]P(X = 0) = C_{18,0}.(0.3)^{0}.(0.7)^{18} = 0.0016[/tex]

0.0016 = 0.16% probability that the lot will pass inspection.

Answer:

3 =f

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp/ adj

tan 60 = f/ sqrt(3)

sqrt(3) tan 60 = f

sqrt(3) * sqrt(3) = f

3 =f

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Answer:

  (x, y) = (3.5, -4)

Step-by-step explanation:

Elimination is easiest if one of the coefficients of a variable is a multiple of the other coefficient of the variable. Here, we have x-coefficients of 4 and 8, so it will be easiest to eliminate x.

Subtract the second equation from 2 times the first.

  2(4x +7y) -(8x +5y) = 2(-14) -(8)

  9y = -36 . . . . . simplify

  y = -4 . . . . . . . divide by 9

  4x +7(-4) = -14 . . . . substitute for y in the first equation

  4x = 14 . . . . . . . add 28

  x = 3.5 . . . . divide by 4

The solution is (x, y) = (3.5, -4).

If f(x) = 7/(1 + x), then

f (2) = 7/3

f '(x) = -7/(x + 1)²   ==>   f ' (2) = -7/9

f ''(x) = 14/(x + 1)³   ==>   f '' (2) = 14/27

f '''(x) = -42/(x + 1)⁴   ==>   f ''' (2) = -14/27

Then the Taylor series of f(x) about a = 2 is

7/3 + 1/1! (-7/9) (x - 2) + 1/2! (14/27) (x - 2)² + 1/3! (-14/27) (x - 2)³

= 7/3 - 7/9 (x - 2) + 7/27 (x - 2)² - 7/81 (x - 2)³

Answer:

6) 6[tex]\sqrt{2}[/tex]

9) 40

10) [tex]\frac{5\sqrt{2} }{2}[/tex]

11) 13

Step-by-step explanation:

6)A right triangle rule: if 2 legs are equal, the hypotenuse is the length of that leg*[tex]\sqrt{2}[/tex]

9) Pythagorean Theorem

[tex]a^{2} +b^{2} =c^{2}[/tex]

We know the hypotenuse (41) so we substitute that for c and 9 for b now we need to find a

[tex]\sqrt{41^{2}-9^{2} }[/tex] which gives us 40

10) same with #6 but we do the opposite. SInce we have the hypotenuse, we can divide that by [tex]\sqrt{2}[/tex] because we know that if 2 legs are equal, the hypotenuse is multiplied by [tex]\sqrt{2}[/tex]. Multiply the numerator and denominator by [tex]\sqrt{2}[/tex] because we can't have a square root in the denominator.

11) like #9 we have the a and b but we need to find c

a=5 b=12 c=r

so [tex]\sqrt{5^{2}+12^{2} }[/tex] which gives us 13

[tex] {h}^{2} = {p}^{2} + {b}^{2} [/tex]

[tex] {c}^{2} = {6}^{2} + {6}^{2} \\ {c}^{2} = 36 + 36 \\ c = \sqrt{2( {6}^{2} )} \\ c = \sqrt{2}{\sqrt{ {6}^{{2}} } } \\ c = 6 \sqrt{2} \: \: \: ans[/tex]

SOLUTION->

[tex] {h}^{2} = {p}^{2} + {b}^{2} [/tex]

[tex] {41}^{2} = {x}^{2} + {9}^{2} \\ 1681 = {x}^{2} + 81 \\ 1681 - 81 = {x}^{2} \\ 1600 = {x}^{2} \\ x = \sqrt{40 \times 40} \\ x = 40 \: \: \: ans[/tex]

GIVEN

[tex]{h}^{2} = {p}^{2} + {b}^{2} [/tex]

[tex] {5}^{2} = {s}^{2} + {s}^{2} \\ 25 = 2 {s}^{2} \\ 12.5 = {s}^{2} \\ \sqrt{12.5} = s \\ 3.5 = s \: \: \: ans[/tex]

[tex] {h}^{2} = {p}^{2} + {b}^{2} [/tex]

[tex] {r}^{2} = {12}^{2} + {5}^{2} \\ {r}^{2} \\ 144 + 25 \\ {r}^{2} = 169 \\ r = \sqrt{13 \times 13} \\ r = 13 \: \: \: \: ans[/tex]

HOPE IT HELPED

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \star \: DEVIL005 \: \star[/tex]

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Answer:

  (b)  AB overbar congruent to CD overbar

Step-by-step explanation:

AB with an overbar is the way that line segment AB is designated, where appropriate typesetting is possible. Thus the statement the line segments are congruent is fully equivalent to ...

  AB overbar congruent to CD overbar

Answer:

<d = 90

<e = 46  

<f = 134

Step-by-step explanation:

<d = 90 since it forms a straight line with a 90 degree angle

<e = 46  since they are vertical angles and vertical angles are equal

<f = 134  since it is a linear pair with 46 ( they add to 180)  f+46 = 180

              f = 180-46    f =

[tex]{\footnotesize{\bold{\textbf{\textsf{{\fcolorbox{brown}{gold}{~Brainliest~answer}}}}}}}[/tex]

See this attachment

Answer:

[tex]x =320[/tex]

Step-by-step explanation:

Given

[tex]x^2 + 200x = 166400[/tex]

Required

Find x

We have:

[tex]x^2 + 200x = 166400[/tex]

Rewrite as:

[tex]x^2 + 200x - 166400 = 0[/tex]

Expand

[tex]x^2 + 520x - 320x - 166400 = 0[/tex]

Factorize

[tex]x(x + 520) - 320(x + 520)= 0[/tex]

Factor out x + 520

[tex](x - 320) (x + 520)= 0[/tex]

Split

[tex]x - 320 = 0\ or\ x + 520= 0[/tex]

Solve

[tex]x = 320\ or\ x =- 520[/tex]

Side length must be positive;

So:

[tex]x = 320[/tex]

Answer:

x² - √3x / x² - 3

Step-by-step explanation:

To Do :-

Solution :-

We need to rationalize ,

Multiply numerator and denominator by x-√3 :-

Answer:

6x+y

Step-by-step explanation:

answer: 77

Step-by-step explanation:

7×11=77

sorry if I'm wrong

Answer:

fijatebie nl aperguntaa

Step-by-step explanation:

X = (18/5)/(3/2)

= 18/5 x 2/3

=(18 x 2) / (5x3)

= 90/15

If you don’t want it as a fraction it’s 6!

Hope this helps!

Answer:

yeah, teachers kinda suck

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Answer:

  3 ⇒ 12

Step-by-step explanation:

Apparently "a = b" in this case is used to mean f(a) = b. It appears as though the function is ...

  f(x) = x(x+1)

Then f(3) = 3(3+1) = 3·4 = 12

_____

Additional comment

IMO this is a poor use of the equal sign, which should be reserved for situations where the left side expression has the same value as the right side expression.

Answer:

B. causal relationships between two variables

Scatterplots show causal relationships between two variables. Option B is correct.

A scatter plot is a collection of points plotted on two axes, horizontal and vertical. Scatter plots are useful in statistics because they illustrate the extent, if any, of correlation between the values of observed quantities or phenomena (called variables).

Here,

Given that, to justify Scatterplots,
Plotting a scattergram using the data points can assist in determining whether they have a probable relationship.

Thus, Scatterplots show causal relationships between two variables. Option B is correct.

Learn more about scatter plots here:
https://brainly.com/question/29231735
#SPJ2

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Answer:

Step-by-step explanation:

The perimeter ratio smaller : larger is the same as the side length ratio.

  18 : 24 = 3 : 4 . . . smaller : larger perimeter ratio

The area ratio is the square of this.

  3^2 : 4^2 = 9 : 16 . . . smaller : larger area ratio

Answer:

18

Step-by-step explanation:

Shape = Isosceles Trapezoid

Area = 1/2 (a+b) h

= 1/2 (9+3) x 3

= 18

Answered by Gauthmath

Answer:

loser you called me a bad word so now I'm taking points

Step-by-step explanation:

Answer:

0.05, 8%, 15/100, 3/10, 0.7

Step-by-step explanation:

so they are 5%, 8%, 15%, 30%, 70%

Given:

The polynomial is:

[tex]-5x^3y^3+8x^4y^2-xy^5-2x^2y^4+8x^6+3x^2y^4-6xy^5[/tex]

To find:

The simplified form of the given polynomial in standard form.

Solution:

We have,

[tex]-5x^3y^3+8x^4y^2-xy^5-2x^2y^4+8x^6+3x^2y^4-6xy^5[/tex]

Combining the like terms, we get

[tex]=-5x^3y^3+8x^4y^2+(-2x^2y^4+3x^2y^4)+8x^6+(-xy^5-6xy^5)[/tex]

[tex]=-5x^3y^3+8x^4y^2+x^2y^4+8x^6-7xy^5[/tex]

Now, rewrite this polynomial in standard form.

[tex]=8x^6+8x^4y^2-5x^3y^3+x^2y^4-7xy^5[/tex]

Therefore, the required polynomial in standard form is [tex]8x^6+8x^4y^2-5x^3y^3+x^2y^4-7xy^5[/tex].

Answer:

$304,853

Step-by-step explanation:

Given:

I - 8

N - 10

PMT - 35,000

FV - 0

solution :

We use the Budget method to estimate the amount of insurance needed

PV of annual expenses

=PV(8%,10,-33100) considering Rate=8%, N=10

 PV - ? = $337,501.61

Amount of Insurance to Purchase = $234,853 + $40,000 + $30,000 = $304,853

Answer:

-5/4

Step-by-step explanation:

Given :

x : 45, 49, 53, 57

y : 10, 5, 0, - 5

The slope of the line :

Slope = Rise / Run

y2 = - 5, y1 = 10

x2 = 57, x1 = 45

Rise = y2 - y1 = - 5 - 10 = - 15

Run = x2 - x1 = 57 - 45 = 12

The slope = Rise / Run = - 15 / 12 = - 5/4

Answer:

-1

Step-by-step explanation:

i brought the answer correct

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Answer:

  D) x = 2π∕3 and x = –2π∕3

Step-by-step explanation:

The tangent function has asymptotes at ±π/2, so the corresponding values of x are ...

  (3/4)x = ±π/2

  x = (±π/2)(4/3) = ±2π/3 . . . . matches choice D

Answer:

tk 30

Step-by-step explanation:

5 dozen = 5 * 12 = 60 oranges

12/4 = 3

total cost = 60 * 3 = tk.180

total sell = 50 * 3 = tk 150

total lose = 180 - 150 = tk 30

Answer:

n+3

Step-by-step explanation:

1/2 × 2(n+3)=n +3

I hope this helps

Answer:

A= 80

Step-by-step explanation:

I'm not good at explaining my work. I sometimes can look at the problem and find the answer in 2 seconds.