Given r(x) = 20x - 89, what is the value of r(1/2)​

The critical value becomes 2.584 for two tailed test since we have to reject the null hypothesis, t >2.584 or t < -2.584 test stat lie in the rejection region.

Data;

Let's calculate the t-value

[tex]t = \frac{x - \mu}{\frac{s}{\sqrt{n} } }[/tex]

Substitute the values into the equation and solve;

[tex]t = \frac{x - \mu}{\frac{s}{\sqrt{n} } } \\t = \frac{5.82 - 5}{\frac{4.93}{\sqrt{600} }} \\t = \frac{0.82}{0.201} \\t = 4.079[/tex]

The t-value is 4.079.

The allowed significance value = 0.01

The degree of freedom is n -1, which becomes 600 - 1 = 599.

The critical value becomes 2.584 for two tailed test since we have to reject the null hypothesis, t >2.584 or t < -2.584 test stat lie in the rejection region, we have to reject the null hypothesis or claim incorrect.

Learn more on t-test here;

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Using the vertex of the quadratic equation, it is found that the stone reaches a maximum height of 221.0625 ft after 3.5625 s.

A quadratic equation is modeled by:

[tex]y = ax^2 + bx + c[/tex]

The vertex is given by:

[tex](x_v, y_v)[/tex]

In which:

[tex]x_v = -\frac{b}{2a}[/tex]

[tex]y_v = -\frac{b^2 - 4ac}{4a}[/tex]

Considering the coefficient a, we have that:

In this problem, considering initial velocity of v(0) = 114 and an initial height of h(0) = 18, the equation is:

h(t) = -16t² + 114t + 18.

Which is a quadratic equation with coefficients a = -16, b = 114, c = 18.

Hence:

[tex]x_v = -\frac{114}{2(-16)} = 3.5625[/tex]

[tex]y_v = -\frac{114^2 - 4(-16)(18)}{4(-16)} = 221.0625[/tex]

Hence, the stone reaches a maximum height of 221.0625 ft after 3.5625 s.

More can be learned about the vertex of a quadratic equation at https://brainly.com/question/24737967

Answer:

Period: 6, Frequency: 1/6, Equation: -4cos([tex]\frac{\pi }{3}x[/tex])-2

Step-by-step explanation:

Because the graph starts at x = 0 at a minimum/maximum, it's easiest to use cosine, so we don't have to shift the graph horizontally. cos(x)

If you take the max/min points and average them, you can use the distance between the average value and the max/min to get the total amplitude, A, which is 4.

Because this function starts at a minimum, but cosine starts at a maximum, we will flip it vertically by adding a negative coefficient to whatever the amplitude is.

We see that the same part of the graph recurres every 6 x-units, so the period is 6. The frequency of this is 1/(period), 1/6.

The coefficient of x in a sin/cos function is [tex]2\pi /Period[/tex], = [tex]\pi[/tex]/3.

The vertical shift (how much the average value of the function moved from 0 to its current position) is -2.

Put all that together, you get y = -4cos([tex]\frac{\pi }{3}x[/tex])-2

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

let's solve ~

Period :

Difference between two successive crest or trough is known as period, so here :

period = 9 - 3 = 6

Frequency

Now, we know that frequency = 1/period

So, frequency for given function is 1/6 hertz , or approximately 0.167 hertz

The required equation is ~

[tex]\qquad \sf  \dashrightarrow \:y = a \cos(bx) + k[/tex]

[tex]\qquad \sf  \dashrightarrow \:y = - 4 \cos( \frac{ \pi}{3} x) - 2[/tex]

Answer:

4/13

Step-by-step explanation:

The pattern is that every number is multiplied by 2 starting at 1/52. To find the next fraction in the sequence, multiply 2/13 by 2:

[tex]\frac{2}{13} (\frac{2}{1} )=\frac{4}{13}[/tex]

4/13 is our final simplified answer

I hope this helps!

Answer:

3/m²³

Step-by-step explanation:

REWRITE

[tex]\sqrt{\frac{36m^2}{4m^24} } =\frac{\sqrt{36m^2} }{\sqrt{4m^24} }[/tex]

DISTRIBUTE SQ ROOT

[tex]\sqrt{36m^2} =\sqrt{36} \sqrt{m^2}= 6m[/tex]

[tex]\sqrt{4m^24} =\sqrt{4} \sqrt{m^24} =2m^12[/tex]

SIMPLIFY

[tex]\frac{6m}{2m^24} =\frac{3m}{m^24} =\frac{3}{m^23}[/tex]

Hope this helps!

Answer:

Final answer -

Area of paperboard = [tex]565.92 \: inches {}^{2} [/tex]

hope helpful :D

Answer:

A'(0,4)
B'(6,-4)
C'(-2, -8)

Step-by-step explanation:

In order to scale a figure by a factor all you have to do is multiply each coordinate by the scaled number.
So in this case we'd take A(0,2) and then multiply the x-value and y-value by 2 to get A'(0,4).
Repeat this for each coordinate to get the answer!

Answer:

hi

7/14

I am sure is that

Answer:

slope is 1/2

Step-by-step explanation:

we rise 1 and run 2 which gives up y=1/2x

Answer:

(-2,-2)

Step-by-step explanation:

Answer:

f(x)=(x+2)2−3 or  (x−(−2)2−3

Step-by-step explanation:

Vertex form of equation is

f(x)=a(x−h)2+k

Here, we have f(x)=x2+4x+1, hence we have a=1. So for converting to this form, we complete the square using

(x+a)2=x2+2ax+a2 for which we have to identify a and then add and subtract a2. Hence,

Answer: y = 9x2 + 18x – 6

Step-by-step explanation:Describe the graph of the function. y = 9x2 + 18x – 6

The graph is a parabola with axis of symmetry at x = –1.

The graph is a parabola with axis of symmetry at x = 6.

The graph is a parabola with axis of symmetry at x = 1.

The graph is a parabola with axis of symmetry at x = 9.

Answer:

33

Step-by-step explanation:

We can plug in the values for a and c

[tex]6(5)-(-3)[/tex]

[tex]30-(-3)[/tex]

[tex]=33[/tex]

Therefore, the value of the expression is 33.

#LearnWithBrainly

Answer:

33

Step-by-step explanation:

Given values:

1. Substitute the values in the expression

    [tex]\implies 6c - a[/tex]

    [tex]\implies 6(5) - (-3)[/tex]

2. Simplify the expression

   [tex]\implies 6(5) - (-3)[/tex]

   [tex]\implies 30 - (-3)[/tex]

   [tex]\implies 30 + 3[/tex]

   [tex]\implies 33[/tex]

Answer:

5/12

Step-by-step explanation:

"When two dice are thrown, the total number of sample spaces is 36.

Favourable outcomes = {(1,1),(1,2),(1,4),(1,6),(2,3),(2,3),(2,5),(3,2),(3,4),(4,1),(4,3),(5,2),(5,6),(6,1),(6,5)}

Total number of favourable outcomes = 15

Hence, the probability of getting a sum of prime numbers = 15/36 = 5/12."

This was taken from a Byjus post.

Hope this helps.

Step-by-step explanation:

Answer:

X=2000

Step-by-step explanation:

[tex]0.02x + 0.1(6000) = 0.08(x + 6000)[/tex]

[tex]0.02x + 600 = 0.08x + 480[/tex]

[tex]600 - 480 = 0.08x - 0.02x[/tex]

[tex]120 = 0.06x[/tex]

[tex]x = \frac{120}{0.06} [/tex]

[tex]x = \frac{120 \times 100}{0.06 \times 100} [/tex]

[tex]x = \frac{120}{6} \times 100[/tex]

[tex]x = 20 \times 100 = 2000[/tex]

X=2000

−6146.153846154

Step-by-step explanation:

0.02x+6=0.8(x+6000)

0.02x+6=0.8x+4800

0.02x+6−0.8x=4800

−0.78x+6=4800

−0.78x=4800−6

−0.78x=4794

x=4794/-0.78

x=479400/-78

x=- 79900/13

Answer:

O It costs $0.20 per minute to rent the kayak

Step-by-step explanation:

Answer:

It costs $0.20 per minute to rent the kayak

Step-by-step explanation:

The equation is a linear equation in the form  y = mx + b

Given equation:  c = 0.20t + 3.50  

Therefore,

Therefore, the meaning of the slope is:

It costs $0.20 per minute to rent the kayak

Answer:

33%

Step-by-step explanation:

77 + 233= 300 so 33% don't have a license

Answer:

1/3

Step-by-step explanation:

2/5+2/5-7/15

=2+2/5 -7/15

=4/5-7/15

=4×3-7/15

=12-7/15

=5/15

=1/3 Ans.

Answer:

[tex]\frac{1}{3}[/tex]

Step-by-step explanation:

[tex]\frac{2}{5} +\frac{2}{5} -\frac{7}{15}[/tex]

[tex]=\frac{4}{5} -\frac{7}{15}[/tex]

[tex]=\frac{(4)(15)-(5)(7)}{(5)(15)}=\frac{60-35}{75} =\frac{25}{75}[/tex]

Simplified:

[tex]=\frac{1}{3}[/tex]

Hope this helps

To solve the area of a complex shape

  ⇒ best split the shape into smaller regular shapes

     ⇒ let's split this one into

        ⇒the rectangle that has a length of  7cm and width of4 cm

          ⇒ and a pentagon that has a height of 8cm and the two bases of

              length 7cm and 19 cm

Area of Rectangle = length * width = 7 *4 = 28[tex]cm^2[/tex]

Area of Pentagon = [tex]\frac{1}{2}(b1+b2)*h[/tex]

   Area of Pentagon = [tex]\frac{1}{2}(7 + 19)*8 = \frac{1}{2}*26*8 = 26 * 4 = 104cm^2[/tex]

Total Area = Area of Rectangle + Area of Pentagon

                  = 104 + 28 = 132[tex]cm^2[/tex]

Hope that helped!

Answer:

this answer is 0.83

Step-by-step explanation:

5/8 is 0.625, 3/4 is 0.75 and 0.625 divided by 0.75 is 0.83

Answer: 5/6

All you have to do is combine the two equations, like so [tex]\frac{5*4}{8*3}[/tex]

Multiply [tex]\frac{20}{24}[/tex]

Then simplify [tex]\frac{5}{6}[/tex]

Answer:

x=-3/2 and x=1 is the zeros of the equation

Step-by-step explanation:

A = 0.5(πr^2 )

A = 0.5(π × (20^2 ))

A = 628.32 units^2

Answer:

628.3 ft

Step-by-step explanation:

area of half circle = [tex]\frac{\pi r^{2}}{2}[/tex]

                             = [tex]\frac{\pi *20^{2} }{2}[/tex]

                             = 200[tex]\pi[/tex] = 628.3 ft

Answer:

A.no solution

Step-by-step explanation:

[tex]12t- 4 - 7t = 5t - 4[/tex]

[tex]12t - 7t = 5t - 4[/tex]

[tex]5t = 5t - 4[/tex]

[tex]5t - 5t = - 4[/tex]

[tex]0 = - 4[/tex]

Answer: 1.115 metres

Step-by-step explanation:

     The radius is half the diameter.

2,230 mm / 2 = 1,115 mm

     To turn mm into metres, we divide the length by 1,000.

1,115 mm / 1,000 = 1.115 metres

Answer:

1.115m

Step-by-step explanation:

[tex]radius = \frac{diameter}{2} \\ = \frac{2230}{2} \\ = 1115mm \\ = from \: mm \: to \: m \\ = \frac{1115}{1000} \\ 1.115m[/tex]

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Step-by-step explanation:

a) 4x + 8 - 2x + 7

= 2x +15

b) 2n × 5 × 2a

= 10n × 2a

= 20an

Answer:

a) 2x+15

B) n =(2-√44)/4=(1-√ 11 )/2= -1.158 or

n =(2+√44)/4=(1+√ 11 )/2= 2.158

Step-by-step explanation:

a.4x+8-2x+7

4x+15-2x

=2x+15

Answer:21%

Step-by-step explanation:21%

Answer:

true option is B

Step-by-step explanation:

true option is B

Answer:

55 minutes

Step-by-step explanation:

PLEASE MARK ME AS BRAINLIST

Answer:

85 minutes

Step-by-step explanation:

if need working than please do ask

Answer:

Right angle

Step-by-step explanation:

It is because ANGLE QMS from the given figure denote 90 ° and right angle means 90°.

Answer:

452.16 m³

Step-by-step explanation:

Given

Formula

Solving