What are the quadratic factors of the function represented by this graph? ​

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:

  D. The distance from the mean to an inflection point

Step-by-step explanation:

We rarely encounter the actual formula for the normal PDF. It is ...

  [tex]p(x)=\dfrac{1}{\sqrt{2\pi}}e^{-\dfrac{x^2}{2}}[/tex]

In fact, the inflection points are at x = ±1, where the curve changes from being concave downward to concave upward.

So, one standard deviation is the distance from the mean to an inflection point.

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

Learn more about proportion here:

https://brainly.com/question/26974513

#SPJ2

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:

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:

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:

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

Step-by-step explanation:

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:

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:

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:

20

Step-by-step explanation:

fist you convert 6l to ml=6×1000

then,300/300:6000/300

gives you 1:20

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].

Learn more here: https://brainly.com/question/18829130

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:

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:

  all are "yes"

Step-by-step explanation:

A polynomial is defined for all values of x. None are excluded. Every value listed is in the domain of f(x) = (x +1)².

Answer:

Step-by-step explanation:

Answer:

The statistic would be given by:

[tex]z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}[/tex] (1)  

And replacing we got:

[tex]z=\frac{0.65 -0.5}{\sqrt{\frac{0.5(1-0.5)}{421}}}=6.16[/tex]  

Step-by-step explanation:

Information given

n=421 represent the random sample taken

[tex]\hat p=0.65[/tex] estimated proportion of adults  that would erase all of their personal information online if they could

[tex]p_o=0.5[/tex] is the value that we want to test

z would represent the statistic  

Hypothesis to test

We want to check if Most adults would erase all of their personal information online if they could, then the system of hypothesis are :  

Null hypothesis:[tex]p\leq 0.5[/tex]  

Alternative hypothesis:[tex]p > 0.5[/tex]  

The statistic would be given by:

[tex]z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}[/tex] (1)  

And replacing we got:

[tex]z=\frac{0.65 -0.5}{\sqrt{\frac{0.5(1-0.5)}{421}}}=6.16[/tex]  

From the information given, it is found that the value of the test statistic is z = 6.16.

At the null hypothesis, we test if it is not most adults that would erase all of their personal information online if they could, that is, the proportion is of at most 50%, hence:

[tex]H_0: p = 0.5[/tex]

At the alternative hypothesis, we test if most adults would, that is, if the proportion is greater than 50%.

[tex]H_1: p > 0.5[/tex]

The test statistic is given by:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

In which:

In this problem, the parameters are: [tex]p = 0.5, n = 421, \overline{p} = 0.65[/tex].

Hence, the value of the test statistic is:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

[tex]z = \frac{0.65 - 0.5}{\sqrt{\frac{0.5(0.5)}{421}}}[/tex]

[tex]z = 6.16[/tex]

A similar problem is given at https://brainly.com/question/15908206

Answer:

Step-by-step explanation:

1. The length of the vertical leg of the triangle is the magnitude of the difference between the y-coordinate of the point on the circle and the y-coordinate of the center:

  |y -2|

2. The length of the horizontal leg of the triangle is the magnitude of the difference between the x-coordinate of the point on the circle and the x-coordinate of the center:

  |x -3|

3. The Pythagorean theorem tells you the sum of the squares of the leg length is equal to the square of the hypotenuse length. The hypotenuse is given as 6, so the equation is ...

  [tex]|y-2|^2 +|x-3|^2=6^2[/tex]

Since the square of a number is the same as the square of its magnitude, we can write this as ...

  [tex](x-3)^2+(y-2)^2=36[/tex]

Answer:

21=2w+2w+3    18=4w     w=4.5

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:

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:

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:

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:

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:

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:

Area = 53 in²

Step-by-step explanation:

area of a box = 8 * 6 = 48 in²

area of a triangle = 1/2 * b * h

b = 6 - 4 = 2 in

h = 13 - 8 = 5 in

area of a triangle = 1/2 * 2 * 5 = 5 in²

total area = area of a triangle + area of a box

total area = 5 in² + 48 in²

total area = 53 in²

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:

24

Step-by-step explanation:

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:

The sample size 'n' = 242

Step-by-step explanation:

Step(i):-

Given mean of the sample = 5.7

Given standard deviation of the sample (σ)  = 1.8

The Margin of error  (M.E) = 0.12

Level of significance = 0.85 or 85%

Step(ii):-

The margin of error is determined by

[tex]M.E = \frac{Z_{\alpha }S.D }{\sqrt{n} }[/tex]

The critical value Z₀.₁₅ = 1.036

[tex]0.12 = \frac{1.036 X 1.8 }{\sqrt{n} }[/tex]

Cross multiplication , we get

[tex]\sqrt{n} = \frac{1.036 X 1.8}{0.12}[/tex]

√n  =  15.54

Squaring on both sides, we get

n = 241.49≅ 241.5≅242

Conclusion:-

The sample size 'n' = 242

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.