Write a cosine function that has an amplitude of 3, a midline of 2 and a period

Answer:

As the calculated  χ² = 1.23  is less than the critical region  χ²≥ χ²(0.05,9)=  16.92 ,Staples can conclude that demands for these two types of computers are independent  at the 0.05 level of significance.

Step-by-step explanation:

As we have to test the independence of the two categories the chi square of independence test is applied.

Let the null and alternate hypotheses be

H0 :The demand for each type of computers is independent

against the claim

Ha: The  demand for each type of computers is not independent i.e they are associated.

The significance level alpha is chosen to be 0.05

The critical region for alpha =0.05 and (4-1)(4-1) = 3*3 =9 d.f is

χ²≥ χ²(0.05,9)=  16.92

Actual Data

                  low          med-low       med-high          high       Total

low             4                15                    14                     3         36

med-low  6                 18                    18                    23        65

med-high 13                 17                   10                     17         57

high          7                  15                  15                      10          47      

Total       30                65                 57                     53         205        

Expected Frequencies

low- low = 30*36/205= 5.27

low- med.low = 65*36/205 = 11.41

low- medium high = 57*36/205= 10.009

low- high = 53*36/205 =9.31

medium low- low = 30*65/205 = 9.51

medium low- med.low = 65*65/205= 20.61

medium low- medium high = 57*65/205= 18.073

medium low- high = 53*65/205= 16.80

medium high- low = 30*57/205= 8.34

medium high- med.low = 65*57/205= 18.07

medium high- medium high = 57*57/205= 15.85

medium high- high = 53*57/205= 14.74

high- low = 30*53/205= 7.76

high- med.low = 65*53/205= 16.80

high- medium high = 57*53/205= 14.74

high- high = 53*53/205= 13.70

Summarizing in a table

Expected Frequencies

                  low          med-low       med-high          high           Total        

low             5.27         11.41                    10.009           9.31        35.999

med-low  9.51            20.61               18.073             16.8        64.993

med-high 8.34             18.07                 15.85            14.74       57  

high          7.76              16.8                  14.74             13.7         53              

Total       30.88           66.89               58.672          54.55         210.992  

Using Excel

The Chi Square Values are

0.062823

0.270857

0.159572

0.735995791

1.229247532

As the calculated  χ² = 1.23  is less than the critical region  χ²≥ χ²(0.05,9)=  16.92 ,Staples can conclude that demands for these two types of computers are independent  at the 0.05 level of significance,

Answer:  It is 18

Step-by-step explanation:   Well because it is the same as the other side.

Solve  for  the  unknown  side   by  applying  the  Triangle  Angle‐Bisector  Theorem.

[tex] \rightarrow\sf{\frac{25}{15}=\frac{s}{18}\rightarrow{15s}=25(18)}[/tex]

[tex] \rightarrow\sf{s=\frac{25(18)}{15}}[/tex]

[tex] \rightarrow\sf{s={\frac{[(5)(5)][(2)(3)(3)]}{(3)(5)}}}[/tex]

[tex]\rightarrow\sf{s=(5)(2)(3)=30}[/tex]

[tex]\rightarrow\sf{s=20-r=20-12={\color{magenta}{8}}}[/tex]

[tex]\large{—————————————————————}[/tex]

#CarryOnMath⸙

✍Zenitsu2

Answer:

The answer is 13.

Step-by-step explanation:

n ÷ 7

= 91 ÷ 7

=13

Answer:

(2x -1)  (7xy+2)

Step-by-step explanation:

Rewrite the equation as follows:

(14x^2y - 7xy)   +  (4x -2)

Factor 7xy from the first term and 2 from the second term:

7xy(2x -1 ) + 2 ( 2x -1)

Factor (2x-1) from each term to get

(2x -1) ( 7xy + 2)

You can multiply this out to verify the answer.

Answer: Brian ran 9 miles

Sonia ran 24 miles

Step-by-step explanation:

Let's Brian's distance be represented by x.

Since Sonia ran 6 miles more than twice as far as Brian. This will be:

= (2 × x) + 6

= 2x + 6

Therefore,

x + 2x+6 = 33

3x + 6 = 33

3x = 33 - 6.

3x = 27

x = 27/3

x = 9

Brian ran 9 miles

Sonia ran = 2x+6 = 2(9).+ 6 = 18+6 = 24 miles

Answer:

f = 1.6

Step-by-step explanation:

Answer:

f = 8/5

Step-by-step explanation:

[tex]5 + 5f - 6 = 7\\5f - 1 = 7\\5f = 7 + 1 \\5f = 8\\\\f = \frac{8}{5}[/tex]

Answer:

2.6 hours

Step-by-step explanation:

75+85

160x/160= 416/160

=2.6

Answer:

107 TEAMS

Step-by-step explanation:

1716/16=107

Answer:

A

Step-by-step explanation:

The profit for selling x pairs of shoes is given by:

[tex]P(x)=-4x^2+32x-39[/tex]

And we want to determine the number of pairs that needs to be sold in order to maximize profit.

Since the function is a quadratic with a negative leading coefficient, the maximum profit will occur at its vertex point. The x-coordinate of the vertex of a quadratic is given by:

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

In this case, a = -4, b = 32, and c = -39. Substitute and evaluate:

[tex]\displaystyle x=-\frac{(32)}{2(-4)}=\frac{32}{8}=4[/tex]

So, in order to maximize profit, only four pairs of sohoes should be sold.

Our answer is A.

Answer:

A

Step-by-step explanation:

Answer:

H0: p1=p2   versus   Ha:p1≠p2

Step-by-step explanation:

Let p1 be the proportion experiencing the primary outcome with the treatment and p2 the proportion without the treatment.

We want to determine whether the proportion of persons having the treatment suffering the primary outcome of a fatal cardiovascular event is equal to the proportion of people  without the treatment suffering the primary outcome of a fatal cardiovascular event.

The hypothesis is based on the study under observation. The claim is set as the alternate hypothesis.

The null and alternate hypotheses are

H0: p1=p2   versus   Ha:p1≠p2

Both proportion ( with and without treatment ) are same

against the claim

Both proportion ( with and without treatment ) are  not the same .

Option which gives the answer

H0: p1=p2   versus   Ha:p1≠p2

is the best option.

Answer:

[tex](a)\ k(r) = \ln(1+r)[/tex]

[tex](b)\ r(T_2) = 2^{1/T_2}-1[/tex]

[tex](c)\ T_2(k) = \frac{\ln(2)}{k}[/tex]

Step-by-step explanation:

Given

[tex]y(t) = y_0e^{kt}[/tex]

[tex]y(t) = y_0(1+r)^t[/tex]

[tex]y(t) = y_02^{t/T_2}[/tex]

Solving (a): k(r)

Equate [tex]y(t) = y_0e^{kt}[/tex] and [tex]y(t) = y_0(1+r)^t[/tex]

[tex]y_0e^{kt} = y_0(1+r)^t[/tex]

Cancel out common terms

[tex]e^{kt} = (1+r)^t[/tex]

Take ln of both sides

[tex]\ln(e^{kt}) = \ln((1+r)^t)[/tex]

Rewrite as:

[tex]kt\ln(e) = t\ln(1+r)[/tex]

Divide both sides by t

[tex]k = \ln(1+r)[/tex]

Hence:

[tex]k(r) = \ln(1+r)[/tex]

Solving (b): r(T2)

Equate [tex]y(t) = y_02^{t/T_2}[/tex] and [tex]y(t) = y_0(1+r)^t[/tex]

[tex]y_0(1+r)^t = y_02^{t/T_2}[/tex]

Cancel out common terms

[tex](1+r)^t = 2^{t/T_2}[/tex]

Take t th root of both sides

[tex](1+r)^{t*1/t} = 2^{t/T_2*1/t}[/tex]

[tex]1+r = 2^{1/T_2}[/tex]

Make r the subject

[tex]r = 2^{1/T_2}-1[/tex]

Hence:

[tex]r(T_2) = 2^{1/T_2}-1[/tex]

Solving (c): T2(k)

Equate [tex]y(t) = y_02^{t/T_2}[/tex] and [tex]y(t) = y_0e^{kt}[/tex]

[tex]y_02^{t/T_2} = y_0e^{kt}[/tex]

Cancel out common terms

[tex]2^{t/T_2} = e^{kt}[/tex]

Take ln of both sides

[tex]\ln(2^{t/T_2}) = \ln(e^{kt})[/tex]

Rewrite as:

[tex]\frac{t}{T_2} * \ln(2) = kt\ln(e)[/tex]

[tex]\frac{t}{T_2} * \ln(2) = kt*1[/tex]

[tex]\frac{t}{T_2} * \ln(2) = kt[/tex]

Divide both sides by t

[tex]\frac{1}{T_2} * \ln(2) = k[/tex]

Cross multiply

[tex]kT_2 = \ln(2)[/tex]

Make T2 the subject

[tex]T_2 = \frac{\ln(2)}{k}[/tex]

Hence:

[tex]T_2(k) = \frac{\ln(2)}{k}[/tex]

Answer:

give brainllest if right

c

Step-by-step explanation:

Answer:

Step-by-step explanation:

volume of a cylinder=πr^2h

=π*5^2*15

=π*25*15

=375π cm^3

Volume of a cylinder = πr^2h

→ π × 5^2 × 15

→ π × 25 × 15

→ 375π cm^3

Answer:

[tex]ln( |1 + u| ) = 7t + \frac{ {t}^{2} }{2} + c[/tex]

Step-by-step explanation:

[tex]integral( \frac{1}{1 + u} )du = \\ integral(7 + t)dt[/tex]

[tex] ln( |1 + u| ) = 7t + \frac{ {t}^{2} }{2} + c[/tex]

Answer:35457$

Step-by-step explanation:

qowiufrasjofjoqjOASIEJKDJF

IOVAJ

Answer:

The first one is 145 in^2 and the other is 250 in^2

Step-by-step explanation:

For the first one you have to find the base first so 5*5=25, then you find the area of the other faces and since theres 4 of them dont bother diving them by 2 and just do it twice, so the faces would be 120 in^2 in all add it together and you get 145

For the second one its the same thing but instead of a square base its a triangle so theres only 3 faces. 8*10 = 80/2 =40, 2 of the faces are 140 in all and to find the last one just 14*10=140/2=70 and you add them together and get 250

[tex] \frac{dr}{dt} = 6.79 \: \frac{m}{s} [/tex]

Step by Step Explanation:

The area a is defined as

[tex]a = \pi {r}^{2} [/tex]

Now take derivative of the above expression with respect to time:

[tex] \frac{da}{dt} = 2\pi r \frac{dr}{dt} [/tex]

Solving for dr/dt, we then get

[tex] \frac{dr}{dt} = \frac{1}{2\pi r} \frac{da}{dt} [/tex]

Note that da/dt = 900 m^2/s and when the area of the oil slick is 1400 m^2, the radius r is r = √(1400/π) = 21.1 m. Therefore,the rate at which the radius is increasing dr/dt is

[tex] \frac{dr}{dt} = \frac{1}{2\pi(21.1 \: m)}(900 \frac{ {m}^{2} }{s} ) = 6.79 \frac{m}{s} [/tex]

Answer:

for the lengths, just double the numbrrs

1.5 -> 3

2.5 -> 5

bc the scale factor is two (the upper edge is given)

the angles are just the same, no matter the zoom factor

There are two polygons where B is greater than A.

One side in polygon A has a length of 2.5 and the corresponding length in polygon B is 5.

So, the scale factor is

[tex]\dfrac{5}{2.5}=2[/tex]

So, the missing sides in polygon B are

[tex]1.5\times2=3[/tex]

[tex]2.5\times 2=5[/tex]

The angles in polygon A will be the same as B as all the sides of the polygon have changed according to the scale factor.

So, the missing sides in polygon B are 3 and 5, and the angles in polygon A are [tex]53^{\circ}[/tex] and [tex]82^{\circ}[/tex].

Learn more:

https://brainly.com/question/16315840

https://brainly.com/question/13156698

Answer:

they are not equal

Step-by-step explanation:

13/4 hour is 3hour and 15 minutes

9514 1404 393

Answer:

  $2398.20

Step-by-step explanation:

Perhaps you want the monthly payment. It is given by the amortization formula ...

  A = P(r/n)/(1 -(1 +r/n)^(-nt))

where P is the principal amount, r is the annual interest rate, n is the number of payments per year, t is the number of years.

Your monthly payment will use P = 400,000; r = 0.06, n = 12, t = 30.

  A = $400,000(0.06/12)/(1 -(1 +0.06/12)^(-12·30)) ≈ $2398.20

Answer:

[tex]\frac{x^2}{36} + \frac{y^2}{100} = 1[/tex]

Step-by-step explanation:

Required

The equation of the ellipse

This is calculated as:

[tex]\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1[/tex]

Where:

[tex]b =6[/tex] ---- height

[tex]a = 0.5 * 20 =10[/tex] --- width

So:

[tex]\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1[/tex]

[tex]\frac{x^2}{6^2} + \frac{y^2}{10^2} = 1[/tex]

[tex]\frac{x^2}{36} + \frac{y^2}{100} = 1[/tex]

======================================================

Explanation:

Vector u has magnitude 8 and direction 150 degrees.

So r = 8 and theta = 150

The polar form

r*(cos(theta)+i*sin(theta))

updates to

8*(cos(150)+i*sin(150))

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

Use your calculator to evaluate that last expression to get it into a+bi form

8*(cos(150)+i*sin(150))

8*(-0.866025 + i*0.5)

-6.9282 + 4i

So this is the a+bi form of vector u. It's a rough approximation of it.

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

Repeat those steps for vector v

v = r*(cos(theta)+i*sin(theta))

v = 3*(cos(115)+i*sin(115))

v = 3*(-0.422618 + i*0.906308)

v = -1.267854 + 2.718924i

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

We're converting each vector to a+bi form so that we can add the vectors.

The general idea is that if you want to add v = a+bi and w = c+di, then

v+w = (a+c)+(b+d)i

we simply add the corresponding real components together, and the imaginary components are added together as well.

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

Add up u and v

u+v = (-6.9282 + 4i) + (-1.267854 + 2.718924i)

u+v = (-6.9282 + -1.267854) + (4i + 2.718924i)

u+v = -8.196054 + 6.718924i

When rounding to four decimal places, the real and imaginary components are -8.1961 and 6.7189 respectively. These represent the x and y components of the vector.

So we can say vector u+v is approximately < -8.1961, 6.7189 >

Answer:

.

Step-by-step explanation:

[tex]2 {x}^{2} - 5x - 3[/tex]

Answer:

Step-by-step explanation:

115+94+107+2x=360 degree(sum of interior angles of four angles is always 360 degree)

316+2x=360

2x=360-316

x=44/2

x=22 degree

Step-by-step explanation:

missing where ?

I guess you mean that there is one element missing between 51 and 33 (based on the readable answer options).

if that is true, then the missing element is 42.

the difference between 60 and 51 is 9.

the difference between 51 and 33 is 18.

if there is an engender missing in between 51 and 33, then it is logical to put it in the middle cutting the interval of 18 in half to 2 times 9. which is also supported by the first interval between 60 and 51 (9).

so, it would be 51 -9 = 42

Answer:

depends on the size of the food

Step-by-step explanation:

Answer:

Step-by-step explanation:

We can do this the easy way and just set up an inequality and let the factoring do the work for us. The inequality will look like this:

[tex]-16t^2+112t>192[/tex] We will move the constant over and get

[tex]-16t^2+112t-192>0[/tex] and when you factor this you get that

3 < t < 4

Between 3 and 4 seconds is where the projectile reaches a height higher than 192 feet. With a little more work and some calculus you can find the max height to be 196 feet.

Answer:

its A

Step-by-step explanation:

got it right