It can be shown that the line with intercepts (a, 0) and (0, b) has the following equation:
x/a + y/b= 1, a ≠ 0, b ≠ 0.

Use this result to write an equation of the line.

Point on line:

(−2, 4)

x-intercept: (a, 0)

y-intercept: (0, a)

(a ≠ 0)

Answer:

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

Step-by-step explanation:

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

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: 77

Step-by-step explanation:

7×11=77

sorry if I'm wrong

Answer:

fijatebie nl aperguntaa

Step-by-step explanation:

Answer:

x² - √3x / x² - 3

Step-by-step explanation:

To Do :-

Solution :-

We need to rationalize ,

Multiply numerator and denominator by x-√3 :-

Answer:

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

Step-by-step explanation:

9514 1404 393

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).

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:

-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

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:

use the area formula

Step-by-step explanation:

Answer:

rounded to the nearest tenth i think its 40

Answer:

I think 40 - 60 Million Americans would wear contact lenses.

Step-by-step explanation:

you have to substitute the function g(x) where there's x in the function f(x)

gf(x)=2(x213)-4

if that's x two thirteen then you can multiply the 2 outside the brackets by it

giving you a final answer of

gf(x)=426x-4

hope it helps and sorry if am wrong

9514 1404 393

Answer:

  about 2.917%

Step-by-step explanation:

The simple interest formula can be used. Fill in the known values and solve for the unknown.

  I = Prt . . . . principal P invested at rate r for t years

  1400 = 8000(r)(6)

  r = 1400/48000 = 7/240 = 0.0291666...

Salma's interest rate was about 2.917% per year.

9514 1404 393

Answer:

  55 square units

Step-by-step explanation:

The area of a parallelogram is the product of base length and height:

  A = bh

  A = (11)(5) = 55 . . . area of the given parallelogram in square units

Answer:

13.37 = BC

Step-by-step explanation:

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

cos theta = opp / hyp

cos 27 = BC / 15

15 cos 27 = BC

13.36509 = BC

Rounding to the nearest hundredth

13.37 = BC

Solution :

Let the probability laser works = p

The probability that the system works = [tex]$P(\text{all three component works}) = p^3 $[/tex]

                                                                                                                   = 0.99

Therefore, p = 0.9967

Now for the above probability critical z = -2.72

Hence, the mean life is equal to = [tex]10,000 + 2.72 \times 600[/tex]

                                                     = [tex]10,000+1632[/tex]

                                                     [tex]=11,632[/tex]

Answer:

X=1

f(x)=16^1

=16

X=2

f(x)=16^2

256

X=3

f(x)=16^3

=4096

X=4

f(x)=16^4

=65536

Here are four different ways to rewrite the function f(x) = 16^x, using a different base for each case:

Using base 2:

f(x) = (2^4)^x = 2^(4x)

Using base 3:

f(x) = (3^2)^x = 3^(2x)

Using base 10:

f(x) = (10^(log10(16)))^x = 10^(log10(16) * x)

Using base e (natural logarithm):

f(x) = (e^(ln(16)))^x = e^(ln(16) * x)

In these rewritten forms, the exponentiation of the base is expressed as a simpler expression.

This involves the new base, which helps to illustrate the relationship between the original function and the different bases used.

Learn more about functions

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Answer:

[tex]Fair = 63.4\%[/tex]

[tex]Too\ Long = 29.7\%[/tex]

[tex]No\ Opinion =6.9\%[/tex]

Step-by-step explanation:

Given

[tex]Total=505[/tex] --- customers

[tex]Fair = 320[/tex]

[tex]Too\ Long = 150[/tex]

Required

Complete the table

To complete the table, we simply divide each value by the total number of customers.

So, we have:

[tex]Fair = 320[/tex]

[tex]Fair = \frac{320}{505}[/tex]

[tex]Fair = 0.634[/tex]

Express as percentage

[tex]Fair = 0.634*100\%[/tex]

[tex]Fair = 63.4\%[/tex]

[tex]Too\ Long = 150[/tex]

[tex]Too\ Long = \frac{150}{505}[/tex]

[tex]Too\ Long = 0.297[/tex]

Express as percentage

[tex]Too\ Long = 0.297*100\%[/tex]

[tex]Too\ Long = 29.7\%[/tex]

For the last set, the percentage is calculated using:

[tex]No\ Opinion + Fair + Too\ Long = 100\%[/tex]

So, we have:

[tex]No\ Opinion + 63.4\% + 29.7\% = 100\%[/tex]

[tex]No\ Opinion + 93.1\% = 100\%[/tex]

Collect like terms

[tex]No\ Opinion =- 93.1\% + 100\%[/tex]

[tex]No\ Opinion =6.9\%[/tex]

Answer:

A

Step-by-step explanation:

We need to find a equation that is where the domain is all real numbers and the range is all real numbers greater than -3

A is right, the domain of a absolute value function is all real numbers. The range of a absolute value is all numbers greater than or equal to zero but if we subtract 3, it changes into all real numbers greater than or equal to -3

Answer:

The sixth floor

Step-by-step explanation:

Answer:

Following are the solution to the given points:

Step-by-step explanation:

[tex]Ann=\$3,20,000\\\\Bob=\$4,40,000\\\\Carol=\$240,000\\\\Denis= \$4,00,000\\\\[/tex]

Each player's offer divided by the total number of players calculates the fair share

Ann's fair share [tex]= \frac{\$320,000}{4} = \$80,000\\\\[/tex]

Bob's fair share[tex]= \frac{\$440,000}{4} = \$110,000\\\\[/tex]

 Carol's fair share [tex]= \frac{\$240,000}{4} = \$60,000\\\\[/tex]

Denis's fair share [tex]= \frac{\$400,000}{4} = \$100,000\\\\[/tex]

 Because Bob has the highest bid, that receives in the business.

Payments:

 Ann [tex]\$80,000[/tex] paid by estate

 Bob [tex]= \$440,000 - \$110,000 = \$330,000[/tex] owes estate

 Carol [tex]= \$60,000[/tex] paid by estate

 Denis [tex]= \$100,000[/tex] paid by estate  

Surplus [tex]= \$330,000 - (\$80,000+\$60,000+ \$100,000) = \$90,000[/tex]  

Splitting the equally among the four players. therefore one of the each receives:

[tex]\frac{\$90,000}{4}= \$22,500[/tex]

The final settlement of the Ann receives:

[tex]= \$80,000+ \$22,500 = \$102,500[/tex]

Answer:

Total number of possible combinations are 6

Length   width

23 dm     2m

21 dm       4 dm

19 dm       6 dm

17 dm         8 dm

15 dm         10 dm

13 dm          12 dm

Step-by-step explanation:

We are given that

Perimeter of rectangular garden=50 dm

Width is  even number.

Length is always longer than or equal to width.

Let length of rectangular garden=x

Width of  rectangular garden=y

We have to find the possible  number of combinations .

Perimeter of rectangular garden=[tex]2(x+y)[/tex]

[tex]2(x+y)=50[/tex]

[tex]x+y=50/2[/tex]

[tex]x+y=25[/tex]

If y=2 dm

x=25-2=23 dm

If y=4 dm

x=25-4=21 dm

If y=6 dm

x=25-6=19 dm

If y=8 dm

x=25-8=17 dm

If y=10 dm

x=25-10=15 dm

If y=12 dm

x=25-12=13 dm

If y=14 dm

x=25-14=11 dm

x<y

It is  not possible

Then, possible combinations are 6

Length   width

23 dm     2m

21 dm       4 dm

19 dm       6 dm

17 dm         8 dm

15 dm         10 dm

13 dm          12 dm

Given:

The range of a function is [tex]y<3[/tex].

To find:

The function for the given range from the given options.

Solution:

In option A, the given function is:

[tex]y=3(2)^x[/tex]

Here, [tex](2)^x[/tex] is always greater than 0. So, [tex]3(2)^x[/tex] is also greater than 0, i.e., [tex]y>0[/tex].

In option B, the given function is:

[tex]y=2(3)^x[/tex]

Here, [tex](3)^x[/tex] is always greater than 0. So, [tex]2(3)^x[/tex] is also greater than 0, i.e., [tex]y>0[/tex].

In option C, the given function is:

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

Here,

[tex](2)^x>0[/tex]

[tex]-(2)^x<0[/tex]

[tex]-(2)^x+3<0+3[/tex]

[tex]y<3[/tex]

The range of this function is [tex]y<3[/tex]. So, option C is correct.

In option D, the given function is:

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

Here,

[tex](2)^x>0[/tex]

[tex](2)^x-3<0-3[/tex]

[tex]y<-3[/tex]

The range of this function is [tex]y<-3[/tex]

Therefore, the correct option is only C.

9514 1404 393

Explanation:

same:

different:

_____

Additional comment

Multiplication by a negative number has the effect of re-ordering numbers:

  -1 < 2 . . . 1 > -2 (both sides multiplied by -1)

Other functions can have the same effect, so care must be taken when applying functions to both sides of an inequality.

  1/2 > 1/3 . . . 2 < 3 (reciprocal function applied to both sides)

  30° < 60° . . . cos(30°) > cos(60°) (cosine function applied to both sides)

Answer:

40 ft^2

Step-by-step explanation:

The area of a rectangle is given by

A = l*w

   =12 * 3 1/3

Change to an improper fraction

   = 12 ( 3*3+1)/3

   = 12 (10/3)

     40

Answer:

[tex]40 {ft}^{2} [/tex]

Step-by-step explanation:

[tex]area = l \times b \\ = 12 \times 3 \frac{1}{3} \\ = 12 \times \frac{10}{3} \\ = \frac{120}{3} \\ = 40 {ft}^{2} [/tex]