The function C(x)=16x+4,200 represents the cost to produce x number of items. How many items should be produced so that the average cost is less than $40?

Answer:

(a) 36 points

(b) Pr(rolling a double number) ≅ 0.167

(c) Pr(a sum of 6 is rolled) ≅ 0.139

(d) Pr(a sum of 11 is rolled)  ≅ 0.056

(e) No.

Step-by-step explanation:

Sample space = {1,1  1,2  1,3  1,4  1,5  1,6  2,1  2,2  2,3  2,4  2,5  2,6  3,1  3,2  3,3  3,4  3,5  3,6  4,1   4,2  4,3  4,4  4,5  4,6  5,1  5,2  5,3  5,4  5,5  5,6  6,1  6,2  6,3  6,4  6,5  6,6}

(a) The number of points in the sample space is 36.

(b) Pr(rolling a double number) = [tex]\frac{6}{36}[/tex]

                                                   = [tex]\frac{1}{6}[/tex]  ≅ 0.167

(c) Pr(a sum of 6 is rolled) = [tex]\frac{5}{36}[/tex] ≅ 0.139

(d) Pr(a sum of 11 is rolled) = [tex]\frac{2}{36}[/tex]

                                           = [tex]\frac{1}{18}[/tex] ≅ 0.056

(e) No. It is more likely to roll a sum of 6 than that a sum of 11.

Answer:

59 Degrees!!

Step-by-step explanation:

Answer:

59°

Step-by-step explanation:

180 - (57 + 64) =

180 - 121 = 59

Answer:

500

Step-by-step explanation:

Answer:

[tex]y = \frac{2}{3}x + \frac{7}{3}[/tex]

Step-by-step explanation:

Given

Line A:

[tex]y = -\frac{2}{3}x - 4[/tex]

Line B:

[tex](-2,1)[/tex]

Required

Determine the equation of Line B

First, we need to determine the slope of A using

[tex]y =mx + b[/tex]

Where:

[tex]m = slope[/tex]

By comparison:

[tex]y = -\frac{2}{3}x - 4[/tex]

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

Since A and B are perpendicular:

The slope of B (m2) is:

[tex]m_2 = \frac{-1}{m}[/tex]

[tex]m_2 = -1/\frac{-2}{3}[/tex]

[tex]m_2 = -1 * \frac{-3}{2}[/tex]

[tex]m_2 = \frac{3}{2}[/tex]

The equation of B is calculated as thus:

[tex]y - y_1 = m(x - x_1)[/tex]

Where

[tex](x_1,y_1) = (-2,1)[/tex]

[tex]m = \frac{2}{3}[/tex]

So, the equation becomes

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

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

Open bracket

[tex]y - 1 = \frac{2}{3}x + \frac{4}{3}[/tex]

Make y the subject

[tex]y = \frac{2}{3}x + \frac{4}{3} + 1[/tex]

[tex]y = \frac{2}{3}x + \frac{4 + 3}{3}[/tex]

[tex]y = \frac{2}{3}x + \frac{7}{3}[/tex]

Answer:

[tex]Candy = \$188[/tex]

Step-by-step explanation:

[tex]Recycling = \$12[/tex] ---- earnings

[tex]Each = \$100[/tex] --- individual earnings

[tex]Individuals = 2[/tex] ---- Simon & Iris

Required

Determine earnings of selling candy

First, we need to determine the total earnings.

[tex]Total\ Earnings = Individuals * Individual\ Earnings[/tex]

[tex]Total\ Earnings = 2 * \$100[/tex]

[tex]Total\ Earnings = \$200[/tex]

Since the total earnings is from recycling and candy, we have:

[tex]Candy + Recycling = Total\ Earnings[/tex]

[tex]Candy + \$12= \$200[/tex]

[tex]Candy = \$200 - \$12[/tex]

[tex]Candy = \$188[/tex]

3f(-2)-4f(2)

Multiply a positive and a negative equals a negative: (+)×(-)=(-)

-3f×2-4f×2

Calculate the product

-6f-4f×2

-------------‐-------

-3f×2

Multiply a negative and a positive equals a negative: (-)×(+)=(-)

-(3×2)f

Multiply the numbers

-6f

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

-6f-8f

Collect like terms

-14f

ANSWER:-14f

PLEASE MARK ME AS BRAINLIEST

Answer:

14f is your answer

Step-by-step explanation:

Answer:

47.6 cm

Step-by-step explanation:

Since the triangle is equilateral then the 2 inclined sides = 7.2 cm

Perimeter is then the sum of the 5 sides

P = 13 + 7.2 + 13 + 7.2 + 7.2 = 47.6 cm

Answer:

f(x) = (x + 5)(x - 1)

Step-by-step explanation:

f(x) = (x + 5)(x - 1) has the roots of -5 and 1, when you set each factor equal to zero.

x + 5 = 0

x = -5

So, -5 is a root of the function.

x - 1 = 0

x = 1

So, 1 is the other root of the function.

f(x) = (x + 5)(x - 1) is the polynomial function with the roots of -5 and 1

Answer:

10%

Step-by-step explanation:

(a) What percentage of meals had less than 10 grams of fat?

(b) Round your answer to the nearest tenth of a percent.

To find the percentage of meals with less than 10 grams of fat, count the number of meals with less than 10 grams of fat and divide by the total number of meals; multiply this figure by a hundred.

(A) Total number of meals = 550

Number of meals having less than 10 grams of fat = 77

Percentage of meals having less than 10 grams of fat = 77/550 × 100

= 0.14 × 100 = 14%

(B) Rounding the answer to the nearest tenth of a percent means approximating it to the nearest multiple of 10 that is not more than 100 (where 100 here represents a full cent or 'percent').

The multiples of 10 that are close to 14 are 10 and 20. The closest being 10, your answer becomes 10%

Answer:

Step-by-step explanation:

the objective is to maximize profit

let x be corn and y be oat

let us begging by formulating the linear program for the problem

The objective function is

  111x+47y=P

The constraints are

1. capital

 36x+18y=2100------------1

2. labor

6x(8)+2y(8)=2400

48x+16y=2400-------------2

solving 1 and 2 we apply substitution method

36x+18y=2100------1

36x=2100-18y

x=(2100-18y)/36

put x=(2100-18y)/36 in 2 we have

48(2100-18y)/36+16y=2400

(100800-864y)/36+16y=2400

2800-24y+16y=2400

-8y=2400-2800

-8y=-400

8y=400

y=400/8

y=50

to find x put y=50 in 36x+18y=2100------------1

36x+18(50)=2100------------1

36x+900=2100

36x=2100-900

36x=1200

x=1200/36

x=33.33

profit is

111x+47y=P

111(33.33)+47(50)=P

3699.63+2350=P

P=6049.63

$6049.63

the planning comnination is to work on

33.33 acre of corn and 50 acre of oat

Bachelor's degree salary = $53000

Master's degree salary = $66000

Step-by-step explanation:

Given that :

Let Salary of bachelor's degree holder = x

Salary of Master's degree holder = 2x - 40000

Master's salary + bachelor's salary = $119,000

Hence,

Master's salary + bachelor's salary = 119,000

2x - 40000 + x = 119,000

3x = 119000 + 40000

3x = 159000

x = 159000 / 3

x = $53,000

Bachelor's degree salary = $53,000

Master's degree salary ; 2x - 40000 ; 2(53000) - 40000 = $106,000 - $40,000 = $66000

Answer: 0.9887

Step-by-step explanation:

Let p be the probability that flights are on time.

As per given, p =70% = 0.7

Sample size : n = 8

Let x be a binomial variable that represents the number of fights are on time ( i.e. success).

Using binomial formula: [tex]P(X=x) = \ ^nC_xp^x(1-p)^{n-x}[/tex]

Now,  the probability that at least 3 flights are on time = [tex]P(X\geq 3)=1-P(X<3)\\\\=1-[P(X=0)+P(X=1)+P(X=2)]\\\\=1-[^8C_0(0.7)^0(0.3)^8+^8C_1(0.7)^1(0.3)^7+^8C_2(0.7)^2(0.3)^6]\\\\=1-[(0.3)^8+8(0.7)(0.3)^7+\dfrac{8!}{2!6!}(0.7)^2(0.3)^6]\\\\=1-[0.00006561+0.00122472+0.01000188]\\\\=1-0.01129221\\\\=0.98870779\approx\ 0.9887[/tex]

The probability that at least 3 flights are on time = 0.9887

Answer:

9 and 5 is thesum of 15

5×3=15and in sum 15×3=45 and 5×9 =45 and 9 and 45 cut and remaining 5

thus the different between is solve

Answer:

2-5

Step-by-step explanation:

Answer:

13.9

Step-by-step explanation:

The mean of a set of numbers is the sum divided by the number of terms

Answer:

1 the line hits the y line at 1

Answer:

C

Step-by-step explanation:

Slope equals rise over run, which means the change in y for every x value. On the table, we see that y increases by 10 and x increases by 2, so that would be 10/2. However, the slope must be shown in the simplest form so divide the fraction by 2 to get the final slope, 5/1=5.

To get the intercept you must find when x=0. Since the lowest x-value on the graph is 2 we need to subtract the slope twice to get to zero. So 10-5-5, which equals 0.

The equation would be y=5x.

Answer: The Slope Is: m=2. The y -intercept Is: b=9 or (0,9)                        hope this helps :)

Step-by-step explanation:

Answer:

5/9

Step-by-step explanation:

2/3 • 5/2 • 2/3

1/3 • 2/5 • 2/3

multiply 1/3 for 5/2

5

-----------

3 • 2

multiply 3 for 2

5/6 • 2/3

anular el factor común 2

5/3 • 1/3

multiply 5/3 for 1/3

5

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

3 • 3

multiply 3 for 3

5/9

the result

5/9

form decimal

0.5

Answer:

Yes she can

Step-by-step explanation:

3/4 = 0.75

1 4/5= 1.8

0.75 x 2 = 1.5 which is less that 1.8 so she can

Answer:

addition

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

10-2=8

8/2=4

Hope this helps!

Answer:

he would have to read 3.307692308 hour

Step-by-step explanation:

Answer:

Step-by-step explanation:

The midpoint M of two endpoints of a line segment can be found by using the formula

[tex]M = ( \frac{x1 + x2}{2} , \: \frac{y1 + y2}{2} ) \\ [/tex]

where

(x1 , y1) and (x2 , y2) are the points

So we have

[tex]m = ( \frac{3 - 7}{2} , \frac{ - 7 + 1}{2} ) \\ = ( - \frac{4}{2} , - \frac{6}{2} )[/tex]

We have the final answer as

Hope this helps you

Step-by-step explanation:

Hey there!

The given points are; P(3,-7) and Q(-7,1)

Note: Use midpoint formula.

[tex]midpoint(x,y) = (\frac{x1 + x2}{2} , \frac{y1 + y2}{2} )[/tex]

Put all values.

[tex](x,y) =( \frac{3 - 7}{2} , \frac{ - 7 + 1}{2} )[/tex]

Simplify it.

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

Therefore, midpoint is (-2 ,-3).

Hope it helps...

Answer:

2

Step-by-step explanation:

Answer:

2ft squared

Step-by-step explanation:

4ft ⋅ 0.5 = 2ft

(0.5 is the same as 1/2)

Hope I helped :)

Please consider Brainliest :)

Answer:

74

Step-by-step explanation:

Answer:74 students ate soup

Step-by-step explanation:

37% of 200 = 74

or

.37 x 200 = 74

Answer: What's the question?

Step-by-step explanation:

Answer:

The probability is  [tex]P(\= X  > 103.7  )  =   0.9862 [/tex]

Step-by-step explanation:

From the question we are told that

  The population mean is  [tex]\mu =  106 \  gallons[/tex]

   The population standard deviation is  [tex]\sigma  =  6 \ gallons[/tex]

    The sample size is  [tex]n  =  33[/tex]

Generally the standard deviation of sample mean is mathematically represented as  

        [tex]\sigma_{x} = \frac{\sigma }{\sqrt{n} }[/tex]

=>      [tex]\sigma_{x} = \frac{6}{\sqrt{33} }[/tex]

=>      [tex]\sigma_{x} = 1.044[/tex]

Generally the probability that the sample mean would be greater than 103.7 gallons is mathematically represented as

        [tex]P(\= X  > 103.7  )  =  P(\frac{X - \mu }{\sigma_{x}} > \frac{103.7  -  106}{1.044 }  )[/tex]

Generally  [tex]\frac{X - \mu }{\sigma_{x}}  =  Z (The \  standardized \  value \  of  \= X )[/tex]

So

[tex]P(\= X  > 103.7  )  =  P(Z > -2.203 )[/tex]

From the z table  the probability of (Z > -2.203 ) is  

     [tex]P(Z > -2.203 ) = 0.9862[/tex]

So

    [tex]P(\= X  > 103.7  )  =   0.9862 [/tex]