help with this I don't know how to solve please

Answer:

-2n

Step-by-step explanation:

f(x)=7-2x {1,2}

f(1)=7-2(1)=5

f(2)=7-2(2)=3

Slope (m)=3/5

{7-2(1)}-{7-2(2)}=3-5=-2

In terms of n=-2n

The upper and lower sums for the region bounded by the graph of the function and the x-axis on the given interval is [5, 3]

Given the function of the graph bounded by the inteval [1, 2] expressed as

f(x) = 7 - 2x

The upper limit of the function is the point where the domain of the function x is 2. Substitute x = 2 into the function, we will have:

f(2) = 7 - 2(2)

f(2) = 7 - 4

f(2) = 3

For the lower limit, the domain of the function is at x = 2:

f(1) = 7 - 2(1)

f(1) = 7 - 2

f(1) = 5

Hence the upper and lower sums for the region bounded by the graph of the function and the x-axis on the given interval is [5, 3].

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Answer:

7850 feet.sq

Step-by-step explanation:

the area of a cercle is:

A = r²*π     where r is the radius

A= 50²*3.14 = 7850 ft²

Answer:

  11/10

Step-by-step explanation:

The area ratio is the square of the radius ratio (k):

  (121/100) = k²

  k = √(121/100) = 11/10

The ratio of radii is 11/10.

Answer:

P [  x  >  508 ]  = 0,2

Step-by-step explanation:

P [  x  >  508 ]  = 1 -  P [ x ≤ 508]

P [ x ≤ 508 ]   =   ( 508 - 500 ) / 10

P [ x ≤ 508 ]   =  8/10

P [ x ≤ 508 ]   =  0,8

Then

P [  x  >  508 ]  = 1 -  P [ x ≤ 508]

P [  x  >  508 ]  = 1 - 0,8

P [  x  >  508 ]  = 0,2

Answer:

1. continuous random variable

2. not a random variable

3. a continuous random variable

Step-by-step explanation:

The classifications are as follow

a)  The height of the player reported in the game day program is treated as a continuous random variable as these values could be determined through measuring them

b)  The color of student car is not a random variable as it does not contain any quantitative data or we can say numerical data

c)  The exact weight of the bag is a continuous variable as it is lie between the range

Answer:

Dy/Dx=1/√ (2x+3)

Yeah it's correct

Step-by-step explanation:

Applying differential by chain differentiation method.

The differential of y = √(2x+3) with respect to x

y = √(2x+3)

Let y = √u

Y = u^½

U = 2x +3

The formula for chain differentiation is

Dy/Dx = Dy/Du *Du/Dx

So

Dy/Dx = Dy/Du *Du/Dx

Dy/Du= 1/2u^-½

Du/Dx = 2

Dy/Dx =( 1/2u^-½)2

Dy/Dx= u^-½

Dy/Dx=1/√ u

But u = 2x+3

Dy/Dx=1/√ (2x+3)

Answer:

6.5 ft

Step-by-step explanation:

When we draw out our picture of our triangle and label our givens, we should see that we need to use cos∅:

cos57° = x/12

12cos57° = x

x = 6.53567 ft

Answer:

y = x/6 − 11/6

Step-by-step explanation:

y = 6x + 11

To find the inverse, switch x and y, then solve for y.

x = 6y + 11

x − 11 = 6y

y = x/6 − 11/6

Answer:

21=2w+2w+3    18=4w     w=4.5

Answer: 0.0023

Step-by-step explanation:

Let X be the binomial variable that represents the number of receipts will show that the above three food items were ordered.

probability of success p = 32% = 0.32

Sample size : n= 10

Binomial probability function :

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

Now, the probability that eight receipts will show that the above three food items were ordered :

[tex]P(X=8)=\ ^{10}C_8(0.32)^8(1-0.32)^2\\\\=\dfrac{10!}{8!2!}(0.32)^8(0.68)^2\\\\=5\times9(0.0000508414176684)\\\\=0.00228786379508\approx0.0023[/tex]

hence, the required probability = 0.0023

The profit made in week 1 is 0.69 and week 2 is 0.71.

In general, the term "proportion" refers to a part, share, or amount that is compared to a total.

According to the concept of proportion, two ratios are in proportion when they are equal.

A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.

Given:

A takeaway sells 10-inch pizzas and 12-inch pizzas.

From the table

For week 1:

Proportion= 509/ 736 = 0.69

and, week 2:

Proportion= 765/ 1076 = 0.71

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Answer:

24

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

fist you convert 6l to ml=6×1000

then,300/300:6000/300

gives you 1:20

Multiply price per pound by total pounds:

2.50 x 3.5 = 8.75

Total cost = $8.75

Answer:

The cost is $8.75  for 3.5 lbs

Step-by-step explanation:

The rate is 2.50 per pound

Multiply the number of pounds by the rate

3.5 * 2.50 =8.75

The cost is $8.75  for 3.5 lbs

Answer:

D

Step-by-step explanation:

Solution:-

The standard sinusoidal waveform defined over the domain [ 0 , 2π ] is given as:

                                   f ( x ) = sin ( w*x ± k ) ± b

Where,

                 w: The frequency of the cycle

                 k: The phase difference

                 b: The vertical shift of center line from origin

We are given that the function completes 2 cycles over the domain of [ 0 , 2π ]. The number of cycles of a sinusoidal wave is given by the frequency parameter ( w ).

We will plug in w = 2. No information is given regarding the phase difference ( k ) and the position of waveform from the origin. So we can set these parameters to zero. k = b = 0.

The resulting sinusoidal waveform can be expressed as:

                           f ( x ) = sin ( 2x )  ... Answer

Answer:

The 90% onfidence interval for the mean number of cans that all of the families in the city recycle per month is between 129.34 and 150.66 cans per month

Step-by-step explanation:

We have the standard deviation of the sample, so we use the t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 18 - 1 = 17

90% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 17 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.9}{2} = 0.95[/tex]. So we have T = 1.74

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 1.74\frac{26}{\sqrt{18}} = 10.66[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 140 - 10.66 = 129.34 cans per month

The upper end of the interval is the sample mean added to M. So it is 140 + 10.66 = 150.66 cans per month.

The 90% onfidence interval for the mean number of cans that all of the families in the city recycle per month is between 129.34 and 150.66 cans per month

Answer:

x= -3, y= -5

or x= 5, y=3

Step-by-step explanation:

① Label the 2 equations

x² +y²= 34 -----(1)

3x -3y= 6 -----(2)

From (2):

x -y= 2 -----(3)

Notice that (x-y)²= x² -2xy +y²

Thus, (equation 3)²= (equation 1) -2xy

Squaring (3):

(x -y)²= 2²

(x -y)²= 4

Expand terms in bracket:

x² -2xy +y²= 4

x² +y² -2xy= 4 -----(4)

subst. (1) into (4):

34 -2xy= 4

2xy= 34 -4 (bring constant to 1 side)

2xy= 30 (simplify)

xy= 30 ÷2 (÷2 throughout)

xy= 15 -----(5)

From (3):

x= y +2 -----(6)

I'll rewrite 2 of the equations.

x= y +2 -----(6)

xy= 15 -----(5)

Subst. (6) into (5):

y(y+2)= 15

y² +2y= 15

y² +2y -15= 0

(y +5)(y -3)=0

y+5= 0 or y-3=0

y= -5 or y= 3

Subst. into (6):

x= -5 +2 or x= 3 +2

x= -3 or x= 5

Answer:

y=-5,                 y=3

x=-3.,                x=5

Step-by-step explanation:

x^2+y^2=34

3x-3y=6

isolate x in te equation

3x-3y=6

x=3/3 y+6/3

x=y+2

plug the y+2 in the equation:

x^2+y^2=34

(y+2)^2+y^2=34

y^2+4y+4+y^2=34

2y^2+4y=34-4

2y^2+4y=30 divide by 2

y^2+2x-15=0 factorize

(y+5)(y-3)=0 eiter y+5=0 ten y=-5 or y-3=0 then y=3

now plug the solution in the equation

3x-3y=6

3x-3(-5)=6

3x=6-15

x=-9/3=-3

for y=3

3x-3y=6

3x-9=6

3x=15

x=5

Answer:

y + 1 = 3x

Step-by-step explanation:

In order for there to be an infinite number of solutions, the two lines need to be the same.

y+1 = 3x

y=3x-1 are both the same

Answer:

a)y + 1 = 3x

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

A prism is a solid with parallelogram sides (usually rectangles) and a polygon for the 2 bases. Any polygon can be the base.

Answer:

Hello!

__________________

Your answer would be (A) True.

Step-by-step explanation: Hope this helped you!

Any polygon can be the base of a prism so the answer is true.

Answer:

(a) Probability that a random sample of n = 45 oil changes results in a sample mean time < 10 ​minutes i=0.0001.

(b) The mean oil-change time is 15.55 minutes.

Step-by-step explanation:

Let us denote the sample mean time as x

From the Then x = mean time = 16.2 minutes

  The given standard deviation = 3.4 minutes

The value of  n sample size = 45

CHECK THE ATTACHMENT FOR DETAILED EXPLANATION

Answer:

[tex]\boxed{Option A ,D}[/tex]

Step-by-step explanation:

The remote (non-adjacent) interior angles of the exterior angle 1 are <4 and <6

Answer:

x⁴ = -0.955939

x³ = 0.206897

x² = -2.07471

x = 2.65517

Step-by-step explanation:

Step 1: Rewrite equations in standard form

30x⁴ - 5x³ - 10x² + 3x = -1

-3x⁴ + 5x³ + 7x² + 4x = 0

-3x⁴ + x³ + x² = 1

6x⁴ - 10x³ - 2x² + x = -1

Step 2: Write in matrix form

Top Row: [30 -5 -10 3 | -1]

2nd Row: [-3 5 7 4 | 0]

3rd Row: [-3 1 1 0 0 | 1]

Bottom Row: [6 -10 -2 1 | -1]

Step 3: Plug in calc with RREF function

Top Row: [1 0 0 0 | -499/522]

2nd Row: [0 1 0 0 | 6/29]

3rd Row: [0 0 1 0 | -361/174]

4th Row: [0 0 0 1 | 77/29]

Answer:

[tex] 51.278 -2.896 \frac{22.979}{\sqrt{9}}= 29.096[/tex]

[tex] 51.278 +2.896 \frac{22.979}{\sqrt{9}}= 73.460[/tex]

And the interval would be:

[tex] (29.10 \leq \mu \leq 73.46)[/tex]

Step-by-step explanation:

For this problem we have the following dataset given:

44 32.8 59.2 31.4 12.7 68.5 84.7 72.5 55.7

We can find the mean and sample deviation with the following formulas:

[tex] \bar X= \frac{\sum_{i=1}^n X_i}{n}[/tex]

[tex] s=\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}[/tex]

And replacing we got:

[tex]\bar X= 51.278[/tex]

[tex] s= 22.979[/tex]

The confidence interval for the mean is given by:

[tex] \bar X \pm t_{\alpha/2} \frac{s}{\sqrt{n}}[/tex]

The degrees of freedom are:

[tex] df=n-1= 9-1=8[/tex]

The confidence would be 0.98 and the significance [tex]\alpha=0.02[/tex] then the critical value would be:

[tex] t_{\alpha/2}= 2.896[/tex]

Ad replacing we got:

[tex] 51.278 -2.896 \frac{22.979}{\sqrt{9}}= 29.096[/tex]

[tex] 51.278 +2.896 \frac{22.979}{\sqrt{9}}= 73.460[/tex]

And the interval would be:

[tex] (29.10 \leq \mu \leq 73.46)[/tex]

Answer:L=30 S=50

Step-by-step explanation:

3.25 x 50 = 162.5

245 - 162.5 = 82.5

82.5 divided by 30 equals 2.75.

Answer:

45

Step-by-step explanation:

I really don't but it seems right

Answer:

b

Step-by-step explanation:

just did it on edge

Answer:

85.932 cm³

Step-by-step explanation:

The volume of rectangular prism is obtained as the product of its length (l) by its width (w) and by its height (h):

[tex]V=l*w*h[/tex]

The volume of a prism with a length of 4.4 cm, a width of 3.1 cm, and a height of 6.3 cm is:

[tex]V=4.4*3.1*6.3\\V=85.932\ cm^3[/tex]

The volume of this prism is 85.932 cm³.

Answer:

Cost: $247

Discount: $133

Step-by-step explanation:

Simply multiply 380 and 35% off together to get your answer:

380(1 - 0.35)

380(0.65)

247

To find the discount amount, simply subtract the 2 numbers to get your answer:

380 - 247 = 133

Answer:

13.89%

Step-by-step explanation:

The probability when two dices are rolled and their sum is 8 is shown below:

But before that we need to see the probabilities of the sum i.e 8

2 + 6 = 8

3 + 5 = 8

4 + 4 = 8

5 + 3 = 8

6 + 2 = 8

There are 5 outcomes

And, the two dice is 36 i.e square of 6

So, the probability of  two dices are rolled and their sum is 8 is

= [tex]\frac{5}{36}[/tex]

= 13.89%

Answer:

the answer i got was (16/3,16/3)

Step-by-step explanation:

The area bounded by region between the curve [tex]y = x^2- 24[/tex]  and [tex]y = 1[/tex] is

[tex]0[/tex] square units.

To find the Area,

Integrate the difference between the two curves over the interval of intersection.

Find the points of intersection between the curves [tex]y = x^2- 24[/tex] and [tex]y = 1[/tex] .

The point of Intersection is the common point between the two curve.

Value of [tex]x[/tex] and [tex]y[/tex] coordinate  will be equal for both curve at point of intersection

In the equation [tex]y = x^2- 24[/tex], Put the value of [tex]y = 1[/tex].

[tex]1 = x^2-24[/tex]

Rearrange, like and unlike terms:

[tex]25 = x^2[/tex]

[tex]x =[/tex]  ±5

The point of intersection for two curves are:

[tex]x = +5[/tex]  and  [tex]x = -5[/tex]

Integrate the difference between the two curve over the interval [-5,5] to calculate the area.

Area =   [tex]\int\limits^5_{-5} {x^2-24-1} \, dx[/tex]

Simplify,

[tex]= \int\limits^5_{-5} {x^2-25} \, dx[/tex]

Integrate,

[tex]= [\dfrac{1}{3}x^3 - 25x]^{5} _{-5}[/tex]

Put value of limits in [tex]x[/tex] and subtract upper limit from lower limit.

[tex]= [\dfrac{1}{3}(5)^3 - 25(5)] - [\dfrac{1}{3}(-5)^3 - 25(-5)][/tex]

= [tex]= [\dfrac{125}{3} - 125] - [\dfrac{-125}{3} + 125][/tex]

[tex]= [\dfrac{-250}{3}] - [\dfrac{-250}{3}]\\\\\\= \dfrac{-250}{3} + \dfrac{250}{3}\\\\\\[/tex]

[tex]= 0[/tex]

The Area between the two curves is [tex]0[/tex] square  units.

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