The length and width of a rectangle are in the ratio 3:4. The perimeter of the rectangle is 84 cm. Find the length and width of the rectangle.

Answer:

t ≈ 13.26

Step-by-step explanation:

We are given;

x¯ = 20 minutes per day

μ = 17 minutes per day

sample standard deviation; s = 1.6 minutes

Sample size; n = 50

When σ is unknown, formula for test statistic is;

t = (x¯ - μ)/(s/√n)

t = (20 - 17)/(1.6/√50)

t = 3/0.2263

t ≈ 13.26

Answer:

Step-by-step explanation:

a) y = a(x - 4)(x - 2)

x = 0, y = 1, so 1 = a(-4)(-2) = 8a, a = 1/8

so y = (x - 4)(x - 2)/8

b) y = a(x - 4)(x + 2)

x = 0, y = 1, so 1 = a(-4)(2) = -8a, a = -1/8

so y = -(x - 4)(x + 2)/8

c) y = a(x - 5)(x + 3)

y = a(x² - 2x - 15) = a(x² - 2x + 1 - 16) = a[(x - 1)² - 16]

when x = 1, y has a minimum value -16a

so -16a = -10, a = 5/8

so y = 5(x - 5)(x + 3)/8

Answer:

→137°

Step-by-step explanation:

[tex]\hookrightarrow 22+x+21=180[Sum\:of\:linear\:pair]\\\\\hookrightarrow x=180-21-22\\\\\hookrightarrow x=137[/tex]

Answer:

45 Degrees

Step-by-step explanation:

CEA and DEB are equal and AEF and BEG are equal hence 25+20 is 45

Step-by step explanation:

             Statement                                              Reason                  

⇒ ∠AEC + ∠AEF = x

Substitute the values to find x.

Answer:

1/3

Step-by-step explanation: hope this helps!

Answer:

they pay $x*35.25

Step-by-step explanation:

this is the answer

Answer:

7/12

Step-by-step explanation:

umm the question is confusing but this is the answer i got if i understood it correctly

Answer:

They are about 45.19 miles apart.

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem,

a² + b² = c²

-> c is the hypotenuse, a and b are both legs (the other two sides)

a² + b² = c²

19² + 41² = c²

361 + 1,681 = c²

2,042 = c²

[tex]\sqrt{2,042}[/tex] = c

45.19 miles ≈ c

c ≈ 45.19 miles

     They are about 45.19 miles apart.

Answer:

The points (0, 3) and (0, 1) are located on the same axis.

Step-by-step explanation:

coordinates are in the format (x, y) where x is how far it is on the x axis and y is how far it is on the y axis.

x axis is the horizontal (left and right)

y axis is the vertical (up and down)

Answer:

i think that 1, 3 and 4 are correct !!

Step-by-step explanation:

youre welcome, have a nice day!

NOTE: next time please provide the list of choices so it can be easier to help you

Answer:

1  3  4

Step-by-step explanation:

edge 2021

Answer:

6/12

Step-by-step explanation:

there is a total of 12 boxes and six are colored so 6/12

PLEASE RATE!!

Answer:

  (a)  5/12

Step-by-step explanation:

The product of the fractions is the portion of the figure that is "doubly-colored." We notice the top half of the figure is colored yellow; the left 5/6 of the figure is colored blue. The 5 of 12 rectangles at upper left are green, indicating a combination of yellow and blue coloring.

The product is shown as 5/12.

If it is :

[tex]10 - \frac{ (3x - 1)}{2} = \frac{(6x + 3)}{11} \\ [/tex]

Multiply both sides by 22

[tex](22 \times 10) - 11 \times (3x - 1) = 2 \times (6x + 3) \\ [/tex]

[tex]220 - 33x + 11 = 12x + 6[/tex]

[tex] - 33x + 231 = 12x + 6[/tex]

Plus both sides 33x

[tex]231 = 33x + 12x + 6[/tex]

[tex]231 = 45x + 6[/tex]

Subtract sides minus 6

[tex]231 - 6 = 45x[/tex]

[tex]45x = 225[/tex]

Divided sides by 45

[tex]x = \frac{225}{45} \\ [/tex]

[tex]x = 5[/tex]

_________________________________

If it is :

[tex] \frac{10 - (3x - 1)}{2} = \frac{6x + 3}{11} \\ [/tex]

Multiply sides by 22

[tex](11 \times 10) - 11 \times (3x - 1) = 2 \times (6x + 3) \\ [/tex]

[tex]110 - 33x + 11 = 12x + 6[/tex]

[tex] - 33x + 121 = 12x + 6[/tex]

Plus sides 33x

[tex]121 = 12x + 33x + 6[/tex]

[tex]121 = 45x + 6[/tex]

Subtract sides minus 6

[tex]121 - 6 = 45x[/tex]

[tex]45x = 115[/tex]

[tex]x = \frac{115}{45} \\ [/tex]

[tex]x = \frac{23}{9} \\ [/tex]

_________________________________

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

Answer:

where m represents the slope and

(

x

1

,

y

1

)

a point on the line

here

m

=

−

5

4

and

(

x

1

,

y

1

)

=

(

−

8

,

−

5

)

substituting these values into the equation.

y

−

(

−

5

)

=

−

5

4

(

x

−

(

−

8

)

)

⇒

y

+

5

=

−

5

4

(

x

+

8

)

←

in point-slope form

distributing and simplifying gives the equation in an alternative form.

y

+

5

=

−

5

4

x

−

10

⇒

y

=

−

5

4

x

−

15

←

in slope-intercept form

Answer link

Step-by-step explanation:

Answer:

8 percent to find this answer you can do 12 divided by 15 to get 0.8 percent which is 8

Answer:

x ≈ 44.6°

Step-by-step explanation:

perimeter of a perfect circle: 2πr = 2π(9) = 18π

perimeter of the circle arc : 25 - 2(9) = 7

The central angle in a full circle is 360 degrees. In the segment of the circle is x degrees. The value of x is obtained using proportionality.

[tex] \frac{360}{x} = \frac{18\pi}{7} \\ \\ x = \frac{7 \times 360}{18\pi} = 44.56[/tex]

Answer:

(8 * x) + 2x = 60

8x + 2x = 60

10x = 60

/10   /10

x = 6

8 is a constant that is being multiplied by an unknown number which we will name x. It is then being added to two times the unknown number(x), so we multiply x by 2, which is 2x. The final product will be 60, so in the equation it'll then equal 60.

We consider "a number" to be a variable that withholds an unknown value, which is x (or any other variable you prefer).

Answer:

The number is 6

Step-by-step explanation:

Given :-

8N + 2N = 60

To Find :-

N

Solving :-

8N + 2N = 60

10N = 60

N = 6

Solution :-

The number is 6

Answer:

Step-by-step explanation:

Formula

% =  (favorite sport/total surveyed) * 100

Givens

favorite sport = 25

Total surveyed = 75

Solution

% = (25/75) * 100

% = 0.33333 * 100

% = 33.3333... or 33 1/3

Answer: A

Answer:

the current price of the shirts is $14

Step-by-step explanation:

24÷3 is 8 so they would be $8 each if they could afford to buy 3. so if its currently $6 more then it is $14 because 8+6=14

Answer:

B (on a number line, -2.5 is located on the left of 0 and 2.5 is located on the right)

Step-by-step explanation:

On a number line, negative numbers are placed to the left of 0 (less than 0) while positive numbers are placed to the right of 0 (greater than 0)

Answer:

A F E.....???

Step-by-step explanation: i hope this helps!

Answer:

Image of the graph attached

Step-by-step explanation:

STEP 1: Write the given function

Taking the x in the given question to be an absolute value, the function is:

[tex]y = 3 |x| + 4[/tex]

STEP 2: Plot the given function

Answer:

She made $12.95 after four hours

Step-by-step explanation:

because 35 cents is written as .35 we have to remember to put the decimal in our answer two spots to the left so

1st hour: 6 × 35 = $2.10

2nd hour: 5 × 35 = $1.75

3rd hour: 11 × 35 = $3.85

4th hour: 15 × 35 = $5.25

Total: $12.95

Answer:

x=19/3  x=6 1/3 x=6.333333333

Step-by-step explanation:

Answer:

-4

Step-by-step explanation:

| f+g| - h

F=3. G=-4. H=5.

| 3 + -4| -5

| -1| -5

The absolute value of -1 is 1

1 -5

-4

Answer:

a

[tex]\mu_x  =7.5 \ minutes [/tex]

b

[tex]\sigma_{x} = 4.33 \  minutes [/tex]

c

[tex]P(5 <  X  <  11 ) = 0.4 [/tex]

d

[tex]P(W = 4 ) =  0.228[/tex]

Step-by-step explanation:

From the question we are told that

  The  interval is [tex](w , y) =  (0 , 15)[/tex]

Considering question a

    Generally the mean waiting time is mathematically represented as

              [tex]\mu_x  = \frac{w + y}{2}[/tex]

=>          [tex]\mu_x  = \frac{0 + 15}{2}[/tex]

=>          [tex]\mu_x  =7.5 \ minutes [/tex]

Considering question b

Generally the standard deviation is mathematically represented as

      [tex]\sigma_{x} = \frac{y - w}{\sqrt{\sqrt{12} } }[/tex]

=>    [tex]\sigma_{x} = \frac{15 - 0}{\sqrt{\sqrt{12} } }[/tex]

=>    [tex]\sigma_{x} = 4.33 \  minutes [/tex]

Considering question c

Generally the probability density function for a random variable  X is  

     [tex]f(x) =  \left \{ {{ \frac{1}{y} \ \ \ \ \  0 <  X  <  y } \atop {0} \\ \ \ \  Otherwise} \right.[/tex]

=>       [tex]f(x) =  \left \{ {{ \frac{1}{15} \ \ \ \ \  0 <  X  <  15 } \atop {0} \\ \ \ \  Otherwise} \right.[/tex]

Generally the probability that the waiting time is between 5 and 11 minutes is mathematically represented as

     [tex]P(5 <  X  <  11 )= \int\limits^{11}_{5} {f(x)} \, dx[/tex]

=>    [tex]P(5 <  X  <  11 )= \int\limits^{11}_{5} {\frac{1}{15}} \, dx[/tex]

=>   [tex]P(5 <  X  <  11 ) =  \frac{1}{15}  x | \left \  11 } \atop {5}} \right.[/tex]

=>   [tex]P(5 <  X  <  11 ) =  \frac{1}{15} [ 11 - 5][/tex]

=>   [tex]P(5 <  X  <  11 ) = 0.4 [/tex]

Considering question d

      Generally the probability the  waiting time is less than 5 minutes is mathematically represented as

     [tex]P(X < 5) =  \int\limits^5_{-\infty} {\frac{1}{15} } \, dx[/tex]

Given that time cannot be negetive

     [tex]P(X < 5) =  \int\limits^5_{0} {\frac{1}{15} } \, dx[/tex]

    [tex]P(X < 5) = \frac{1}{15} *  x  | \left \  5 } \atop {0}} \right.[/tex]

    [tex]P(X < 5) =0.33.[/tex]  

Generally the probability that the waiting time is less than 5 minutes on exactly 4 of 10 mornings follows a binomial  distribution because  the number of trial is finite i.e 10  the probability of success is probability that the waiting time is less than 5 minutes and probability of failure is probability that the waiting time is not  less than 5 minutes(i.e there is  only two outcome )

Hence for a random variable K representing the number of times in the total of 10 mornings that the  waiting is less than 5 minutes then

    The probability the random variable(W) is exactly 4 is mathematically represented as

    [tex]P(W = 4 ) =  ^{10}C_4 * (0.33)^4 *  (1- p)^{10 -4}[/tex]

Here C denotes combination

So

     [tex]P(W = 4 ) =  0.228[/tex]

Answer:

11/8 or 1 3/8

Step-by-step explanation:

hope this helps