Which BEST describes the slope of the line shown on the graph?
A)
zero slope
B)
positive slope
C)
negative slope
D)
undefined slope

Answer: 0.4207

Step-by-step explanation:

Let [tex]\overline{x}[/tex] be the sample mean area.

Given: Population mean : [tex]\mu=250[/tex] sq. feet

Standard deviation: [tex]\sigma=2[/tex] sq. feet

Sample size : n= 10

The probability that the sample mean area is [tex]249.6 \text{ ft}^2[/tex] or less if the manufacturer’s claim is true.

[tex]P(\overline{x}<249.6)=P(\dfrac{\overline{x}-\mu}{\sigma}<\dfrac{249.6-250}{2})\\\\= P(z<-0.2)\ \ \ \ [z=\dfrac{\overline{x}-\mu}{\sigma}]\\\\=1-P(z<0.2)\\=1- 0.5793\\\\=0.4207[/tex]

Required probability = 0.4207

Using the normal distribution and the central limit theorem, it is found that the probability that the sample mean area is 249.6 ft^2 or less if the manufacturer’s claim is true is of 0.2636.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem:

The probability that the sample mean area is 249.6 ft^2 or less if the manufacturer’s claim is true is the p-value of Z when X = 249.6, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{249.6 - 250}{\frac{2}{\sqrt{10}}}[/tex]

[tex]Z = -0.6325[/tex]

[tex]Z = -0.6325[/tex] has a p-value of 0.2636, which is the probability.

To learn more about the normal distribution and the central limit theorem, you can take a look at https://brainly.com/question/24663213

The area is given exactly by the definite integral,

[tex]\displaystyle\int_{-3}^2(x^2+4)\,\mathrm dx=\left(\frac{x^3}3+5x\right)\bigg|_{-3}^2=\frac{95}3\approx31.67[/tex]

We can write this as a Riemann sum, i.e. the infinite sum of rectangular areas:

• Split up the integration interval into n equally-spaced subintervals, each with length (2 - (-3))/n = 5/n - - this will be the width of each rectangle. The intervals would then be

[-3, -3 + 5/n], [-3 + 5/n, -3 + 10/n], …, [-3 + 5(n - 1)/n, 2]

• Over each subinterval, take the function value at some point x * to be the height.

Then the area is given by

[tex]\displaystyle\lim_{n\to\infty}\sum_{k=1}^nf(x^*)\Delta x_k=\lim_{n\to\infty}\sum_{k=1}^nf(x^*)\frac5n[/tex]

Now, if we take x * to be the left endpoint of each subinterval, we have

x * = -3 + 5(k - 1)/n   →   f (x *) = (-3 + 5(k - 1)/n)² + 4

If we instead take x * to be the right endpoint, then

x * = -3 + 5k/n   →   f (x *) = (-3 + 5k/n)² + 4

So as a Riemann sum, the area is represented by

[tex]\displaystyle\lim_{n\to\infty}\sum_{k=1}^n\left(\left(-3+\frac{5k}n\right)^2+4\right)\frac5n[/tex]

and if you expand the summand, this is the same as

[tex]\displaystyle\lim_{n\to\infty}\sum_{k=1}^n\left(13-\frac{30k}n+\frac{25k^2}{n^2}\right)\frac5n=\lim_{n\to\infty}\sum_{k=1}^n\left(\frac{65}n-\frac{150k}{n^2}+\frac{125k^2}{n^3}\right)[/tex]

So from the given choices, the correct ones are

• row 1, column 1

• row 2, column 2

• row 4, column 2

Answer:

Step-by-step explanation:

The solution is (4, 125). This means that the cost of being in soccer and band for four months is the same, $125. It's where the costs of those two clubs intersect.

Step-by-step explanation:

The solution to a system of linear equations is the point where the two functions intersect. You can see from the graph that the two lines intersect at the point (4, 125)

Answer:

3 ft = 36 in

8 yd = 24 ft

Step-by-step explanation:

1 ft = 12 in, 3 ft = 36 in

1 yd = 3 ft, 8 yd = 24 ft

Answer:

a square

Step-by-step explanation:

all the sides are either perpendicular or parallel

Answer:

No

Step-by-step explanation:

Theirs always multiple ways to solve something, even if their is only one way to solve it. We all think things through differently

Answer:

Slope, m = -12

Step-by-step explanation:

Given the following data;

Points on the x-axis (x1, x2) = (-2, -1)

Points on the y-axis (y1, y2) = (17, 5)

To find the slope, m;

Mathematically, slope is given by the formula;

[tex] Slope = \frac{Change \; in \; y \; axis}{Change \; in \; x \; axis} [/tex]

[tex] Slope, m = \frac {y_{2} - y_{1}}{x_{2} - x_{1}} [/tex]

Substituting into the equation, we have;

[tex] Slope, m = \frac {5 - 17}{-1 - (-2)} [/tex]

[tex] Slope, m = \frac {-12}{-1 + 2} [/tex]

[tex] Slope, m = \frac {-12}{1} [/tex]

Slope, m = -12

9514 1404 393

Answer:

  12.  x = 5

  13.  -8, 0

  14.  6

Step-by-step explanation:

12. The area of a square with side length s is ...

  A = s²

The problem statement tells us the relationship between the areas is ...

  (x cm)² = (1/9)(15 cm)²

Taking the square root, we have ...

  x cm = (1/3)(15 cm)

  x cm = 5 cm . . . . . . . simplify

  x = 5

__

13. The rule is ...

  a[n] = (a[n-1] +8)/2 = (1/2)a[n-1] +4

For a[1] = -24, a[2] = (1/2)(-24) +4 = -8

For a[2] = -8, a[3] = (1/2)(-8) +4 = 0

The next two terms are -8 and 0.

__

14. The rule is ...

  a[n] = (a[n-1] -1)×5

Solving for the previous term, we find ...

  a[n] = 5·a[n-1] -5 . . . . . eliminate parentheses

  a[n] +5 = 5·a[n -1] . . . . add 5

  a[n-1] = (a[n] +5)/5 . . . . divide by 5

For a[3] = 120, a[2] = (120 +5)/5 = 25

For a[2] = 25, a[1] = (25 +5)/5 = 6

The first term of the sequence is 6.

Answer:

c the answer is c just trust me

Answer:

The quadrilateral ABCD is a square.

Step-by-step explanation:

According to the statement, AB, BC, CD and DA are the sides of the quadrilateral, whereas DB and AC are its diagonals. If we know that [tex]x = 7[/tex], [tex]AB = 4\cdot x - 2[/tex], [tex]BC = 2\cdot x + 12[/tex], [tex]DC = 3\cdot x +5[/tex], [tex]AD = 6\cdot x -16[/tex], [tex]AC = 4\cdot x + 12[/tex] and [tex]DB = 8\cdot x -10[/tex], the lengths of each line segment are respectively:

Sides

[tex]AB = 4\cdot (7) -2[/tex]

[tex]AB = 26[/tex]

[tex]BC = 2\cdot (7) +12[/tex]

[tex]BC = 26[/tex]

[tex]DC = 3\cdot (7) +5[/tex]

[tex]DC = 26[/tex]

[tex]AD = 6\cdot (7) -16[/tex]

[tex]AD = 26[/tex]

Diagonals

[tex]AC = 4\cdot (7) +12[/tex]

[tex]AC = 40[/tex]

[tex]DB = 8\cdot (7) - 10[/tex]

[tex]DB = 40[/tex]

This information indicates that this quadrilateral is a square because of these characteristics:

1) All sides have the same length.

2) The ratio of any diagonal to any side is [tex]\sqrt{2}[/tex].

Answer:

a straight line i think is always 180 so i think the answer is A. 81

Step-by-step explanation:

Answer:

The total weight of the purchased cherries is [tex]11\frac{1}{4}[/tex] pounds.

Step-by-step explanation:

Multiply [tex]2\frac{1}{4}[/tex] by 5.

[tex]2\frac{1}{4} * 5 = 11 \frac{1}{4}[/tex]

Answer:

11.25 or 45/4

Step-by-step explanation:

2 1/4 times 5

Answer:

A

Step-by-step explanation:

950 is 95% of 1000

so he lost 5 percent, which can be represented as -5.0%

Answer:

Step-by-step explanation:

because the value went down.. we know the the rate of return , is negative.  then we just have to think about , how much is 50 of 1000 ??  well 10 is 10% of 100 right?  so 100 is 10% or 1000,  right?  sooo  half of 100, or 50, is 5% of 1000,  

so -5% is the return on investment (roi)

Answer:commutative property

Step-by-step explanation:

Did it on edge

Answer:

45.5

Step-by-step explanation: NUN

Answer:

sine 52 degrees = height / 78

height = 78 * sine 52

height = 78 * 0.78801

height = 61.46478 feet

rounded to nearest tenth 61.5 feet

Step-by-step explanation:

Answer:

89 degrees

Step-by-step explanation:

Answer:

91 degrees

Step-by-step explanation:

180-89=91 degrees

180 is the line that 89 degrees is on.

Answer:I hink its B if its not im sorry

Step-by-step explanation:

Answer:

The original price was $312.50

Step-by-step explanation:

If the vacuum was marked down by 20%, that means it was sold for 80% of the full price. It was sold for $250, so 80% of the original price is $250.

Let's set up an equation.

80/100 of x = 250

0.8 • x = 250

Divide both sides by 0.8.

x = 312.50

The original price was $312.50

Hope this helps!

Answer:

I think the answer is 250.00

Step-by-step explanation:

Let the original price = x

  Original Price     -     Markdown       =     Sales Price

       x                 -     (20%)x           =         $250

  Note: 20% may be 0.20 or 20/100 as needed by the problem.

       x                -    0.20x                =         $250

      0.80x = $250

           x =   $312.50

Check:

     Is      312.50  -  (0.20)312.50  = 250.00   ?

               (0.80)(312.50) = 250.00   ?

                    250.00 = 250.00   ?yes

Hope this help you! :)

Answer:

2y+12

Step-by-step explanation:

First you subtract 5 and 3 so that you can combine them. THen, you put the solution together.

Answer:

96 [tex]in^2[/tex]

Step-by-step explanation:

48+12+36 (I divided it into 3 rectangles and added them up)

= 96 [tex]in^2[/tex]

Feel free to mark it as brainliest :D

Answer:

Here ya go :)

Step-by-step explanation:

Hope this helps!

Have a nice day <3

Answer:

Sum

Step-by-step explanation:

Remember that the plus sign (+) always means to add.

Answer:

It would be the sum of a number and eight.

Answer:

y=-5x+-3

Step-by-step explanation:

the slope is negative and its rise over run so 5/1 which is five and the y intercept is -3

Answer:

<1 = 43

<2= 17

<3= 120

<4=60

<5= 60

<6= 60

<7 =17

<8= 120

<9= 43

Step-by-step explanation:

< 4, <5, <6 are all 60

<3 and <4 are a linear pair, so they add to 180. Since <4 is 60, <3 is 180-60= 120

<6 and <8 are a linear pair, so they add to 180. Since <6 is 60, <8 is 180-60= 120

Angles 1 and 9 are congruent

4x+3=9x-47

50=5x

10=x

<1= 4(10)+4= 43

<9-9(10)-47=43

Now you have 2 angles for the triangle A B D- subtract the 2 known from 180

<2= 180-43-120=17

<7= 180-43-120=17

Answer:

^5 √ 10

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Answer:

A. An angle is formed...

Answer:

An angle is formed where two rays meet at a common endpoint.

Step-by-step explanation:

Answer:

do you need the answer?

Step-by-step explanation:

?

Answer:

A

Step-by-step explanation:

area of the triangle is 5 x 2/ 2 which is 5

area of the square is 25

area of the semi circle is 1/2 * 3.14 * 2.5^2 which is 9.8125

9.8125. + 25 + 5 = 39.8125

Answer:

24

Step-by-step explanation:

8 x 3 = 24