A study was conducted on the amount of time drivers wait for a stoplight to change at a particular intersection. The amount of time spent by 300 drivers was recorded and the resulting data were used to create boxplot.

a. What is approximately the median amount of time spent at this traffic light?
b. The top 25% of drivers waited at least how long?
c. The mean amount of time spent at this traffic light was bigger or smaller than the median? Explain.

Answer:

a=(d-c)/d

Step-by-step explanation:

ab+c=d

ab=d-c

a= (d-c)/b

Answer:

[tex] AC = \sqrt(26) \approx 5.1 [/tex]

Step-by-step explanation:

The diagonals are AC and BD.

Now we find the lengths of the diagonals using the distance formula.

[tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

AC:

[tex] AC = \sqrt{(6 - 5)^2 + (7 - 2)^2} [/tex]

[tex] AC = \sqrt{(1)^2 + (5)^2} [/tex]

[tex] AC = \sqrt{1 + 25} [/tex]

[tex] AC = \sqrt{26} [/tex]

BD:

[tex] BD = \sqrt{(9 - 2)^2 + (5 - 4)^2} [/tex]

[tex] BD = \sqrt{(7)^2 + (1)^2} [/tex]

[tex] BD = \sqrt{49 + 1} [/tex]

[tex] BD = \sqrt{50} [/tex]

Since sqrt(26) < sqrt(50), then the shorter diagonal is AC.

Answer: AC = sqrt(26) or approximately 5.1

Answer:

A = (5.2)

Step-by-step explanation:

c2= (6-5)^2 + (7-2)^2

To find AC we calculate within parenthesis (6-5) : 1

c2= 1 + (7-2)^2

calculate within parenthesis (7-2) : 5

c2 = 1^2 + 5^2

then calculate exponents 1^2:1

c^2 = 1+5^2

add and subtract left to right

c^2 = 1+25

c^2 =26

Sr of 26 = 5.09901951359

Which means the closest answer is A = 5.2

To find BD we calculate within parenthesis (9-2):7

c2= (9-2)^2 + (5 - 4)^2

calculate within parenthesis (5-4) : 1

c2 = (7)^2 + (1)^2

calculate exponents 1 ^2 : 1

c2 = 49 +1

add and subtract left to right

c2 = 50

Sr of 50 = 7.07106781187

Answer:

(B) 0.7%

Step-by-step explanation:

X = Land Elevation (in ,000 feet)

Y = Unidentified Artifacts (in %)

The hypothetical theory says that:

The higher the elevation, the higher the percentage of unidentified artifacts in the location.

To find the percentage of variation in Y that can be explained by variations in X, we find the slope of the graph of X on Y.

Transforming X to thousand feets, we have 5220, 5690, 6250, 6750, 7250. This is in the attachment, plotted against 17, 12, 33, 37 and 62 respectively.

Further calculations, along with the graph, are in the attachment below. The answer therein is (B) 0.7%

Answer:

[tex]\frac{12}{35}[/tex]

Step-by-step explanation:

[tex]\frac{-4}{5} * \frac{3}{5} * (\frac{-6}{7} ) * \frac{5}{6}[/tex]

[tex]\frac{(-4) * 3}{5 * 1} * \frac{(-1)}{7} \\\\\frac{12}{35}[/tex]

Answer:

For someone who is a head coach - their expected income for the remainder of their professional coaching career will be

Expected income = 1×$41,389 + 2×$62,993 + 10×$104,485

Expected income = $1,212,225

Step-by-step explanation:

Professional basketball coaches may coach at one of three levels:

On average, the annual salary is given by

Using our P matrix, we have solved to find the fundamental matrix (we have called it the (I-Q) inverse matrix):

                      Assistant      Associate     Head

Assistant              6                     4              2

Associate             2                     6              6        

Head                    1                      2              10

For someone who is a head coach - what is their expected income for the remainder of their professional coaching career?

As per the given P matrix, for someone who is a head coach will be:

Assistant = 1 time

Associate = 2 times

Head = 10 times

Therefore, the expected income will be,

Expected income = 1×$41,389 + 2×$62,993 + 10×$104,485

Expected income = $1,212,225

Answer:

I should take 10.44 tablets in a day, approximately 10.5 tablets.

Step-by-step explanation:

In order to solve this problem we need to convert the weight from pounds to kilograms, to do that we need to divide it by 2.205.

[tex]w = \frac{128}{2.205}\\w = 58.05 \text{ kg}[/tex]

Since I need to take 7.5 mg per kg of body weight, then in order to find the dosage we need to multiply the weight in kg by 7.5.

[tex]\text{dosage} = 58*7.5 = 435 \text{ mg}[/tex]

Since I need to take it every six hours and there are 24 hours in a day, we will have to take 4 dosages in a day, therefore we need:

[tex]\text{dosage(day)} = 435*6 = 2,610 \text{ mg}[/tex]

The antibiotic comes in 250 mg in tablets, therefore the number of tablets is:

[tex]tablets = \frac{2610}{250} = 10.44[/tex]

I should take 10.44 tablets in a day, approximately 10.5 tablets.

The answer is graph A 7/9/20 edge

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Answer:

Answer: 4615.66667

Steps: 1 foot=0.33333

total feets=30.5×454=13847

13847 feets=46.1566667 yards

Answer:

The answer is C, 3/4.

Since it is parallel to y=3/4 x+2, 3/4 is the slope for both equations.

Answer:

The apple cost RS 18.24 per kg, while

the orange cost RS 91.18 per kg.

Step-by-step explanation:

Let the cost of 1kg if apple and orange be RS A and RS O respectively.

From the first line:

4A +6O= 620

2A +3O= 310 -----(1) (÷2 throughout)

From the information given in second line:

O= 5A -----(2)

subst. (2) into (1):

2A +3(5A)= 310

2A +15A= 310 (expand)

17A= 310 (simplify)

A= 310 ÷17 (÷17 on both sides)

A= 18.235 (5 s.f.)

A= 18.24 (2 d.p.)

Subst. into (2):

O= 5(18.235)

O= 91.18 (2 d.p.)

Answer:

[tex]\dfrac{y^2}{225} -\dfrac{x^2}{216}=1[/tex]

Step-by-step explanation:

For a hyperbolic mirror the two foci are 42 cm apart.

The distance between the foci = 2c.

Therefore:

The distance of the vertex from one focus = 6 cm

The distance of the vertex from the other focus = 36 cm

2a=36-6=30

Now:

[tex]c^2=a^2+b^2\\21^2=15^2+b^2\\b^2=21^2-15^2\\b^2=216\\b=6\sqrt{6}[/tex]

If the transverse axis lies on the y-axis, and the hyperbola is centered at the origin. Then the hyperbola has an equation of the form:

[tex]\dfrac{y^2}{a^2} -\dfrac{x^2}{b^2}=1[/tex]

Therefore, the equation of the hyperbola is:

[tex]\dfrac{y^2}{225} -\dfrac{x^2}{216}=1[/tex]

The Answer is 1/4

Step-by-step explanation:

The required constant of variation for given data is k = 1/4

The correct option is (a)

In a direct variation, the product of two variables; in an inverse variation, the ratio of two variables, is called constant of variation

Formula:

k = [tex]\frac{n}{fg}[/tex]

Here we have given that n = 4, f = 2 and g = 8

Substitute the given values into above formula

k = [tex]\frac{4}{2(8)} =\frac{1}{4}[/tex]

The required constant of variation is 1/4

Therefore the correct option is (a)

This is the conclusion to the answer.

Learn more about constant of variation here-

https://brainly.com/question/6499629

#SPJ2

Answer:

The answer is "[tex]\sqrt{12}[/tex] is not a perfect square".

Step-by-step explanation:

12 is not a perfect square because it is the natural number, and no other natural number would square the number 12, that's why it is not a perfect square.

If we calculate the square root of [tex]\sqrt{12}[/tex]. so, it is will give [tex]2\sqrt{3}[/tex] that is not a perfect square root which can be described as follows:

[tex]\Rightarrow \sqrt{12}= \sqrt{2\times 2\times 3}[/tex]

            [tex]= \sqrt{2^2\times 3}\\\\= 2\sqrt{3}\\\\[/tex]

[tex]\bold{\sqrt{12}}[/tex] is not a perfect square root.

Answer:

Here's a picture

Step-by-step explanation:

Answer:

120 ways

Step-by-step explanation:

There are 3 spots and 6 options

_ _ _

1  2 3

6 ways for 1st chair to be chosen

5 ways for 2nd chair to be chosen (1st chair is chosen already, so there are 5 players left)

4 ways for 3rd chair to be chosen (1st and 2nd are already chosen, only 4 players left)

Multiply 6*5*4 to find the total number of ways (120)

Use the chain rule to compute the second derivative:

[tex]f(x)=\ln(\sin(2x))[/tex]

The first derivative is

[tex]f'(x)=(\ln(\sin(2x)))'=\dfrac{(\sin(2x))'}{\sin(2x)}=\dfrac{\cos(2x)(2x)'}{\sin(2x)}=\dfrac{2\cos(2x)}{\sin(2x)}[/tex]

[tex]f'(x)=2\cot(2x)[/tex]

Then the second derivative is

[tex]f''(x)=(2\cot(2x))'=-2\csc^2(2x)(2x)'[/tex]

[tex]f''(x)=-4\csc^2(2x)[/tex]

Then plug in π/4 for x :

[tex]f''\left(\dfrac\pi4\right)=-4\csc^2\left(\dfrac{2\pi}4\right)=-4[/tex]

Answer:

I think it would be the first but not 100% sure

Step-by-step explanation:

Answer:

The tank will contain 202 Ib of salt when it's full.

Step-by-step explanation

To find the amount of salt in the tank at time t= x(t)

If x(0)= 90Ib

To find the volume of the tank at time t

V(t)= 90+(4-3)t=90+t gal

Other solutions are found attached

Answer:

£135 is the correct answer.

Step-by-step explanation:

Let C be the cost of table.

And let R be the radius of table.

Cost of table is directly proportional to square of radius.

As per question statement:

[tex]C\propto R^{2}[/tex] or

[tex]C=a\times R^2 ....... (1)[/tex]

where [tex]a[/tex] is the constant to remove the [tex]\propto sign[/tex].

It is given that

[tex]C_1 =[/tex] £60 and [tex]R_1 = 50\ cm[/tex]

[tex]C_2 = ?[/tex] when [tex]R_2= 75\ cm[/tex]

Putting the values of [tex]C_1[/tex] and [tex]R_1[/tex] in equation (1):

[tex]60=a \times 50^2 ....... (2)[/tex]

Putting the values of [tex]C_2[/tex] and [tex]R_2[/tex] in equation (1):

[tex]C_2=a \times 75^2 ....... (3)[/tex]

Dividing equation (2) by (3):

[tex]\dfrac{60}{C_2}= \dfrac{a \times 50^2}{a \times 75^2}\\\Rightarrow \dfrac{60}{C_2}= \dfrac{50^2}{75^2}\\\Rightarrow \dfrac{60}{C_2}= \dfrac{2^2}{3^2}\\\Rightarrow \dfrac{60}{C_2}= \dfrac{4}{9}\\\Rightarrow C_2 = 15 \times 9 \\\Rightarrow C_2 = 135[/tex]

So, £135 is the correct answer.

Answer:

34) 75

35) 60

36) 210

Step-by-step explanation:

34) Area of a rectangle:

L x B

= 15 x 5

= 75

35) Area of a trapezium :

½ h (sum of || sides)

= ½ x 6 x (12+8)

= 3 x 20

= 60

36) Area of a regular hexagon:

3BH

= 3 x 7 x 10

210

Hope it helps....

Answer:

Step-by-step explanation:

35. 75

area of rectangle : A = b x h

                                  = 15 X 5

                                   = 75

36. 60

area of trapezoid : A = (b1 + b2) x h

                                                2

                                  = (8+12) x 6

                                            2

                                   = 60

37. 210

area of regular polygon : A = P x a  (P no. of sides) (a is apothem)

                                                   2

                                           = (6 x 10) x 7

                                                       2

                                           = 210

Answer:

B

Step-by-step explanation:

In that scenario, you would have one T and two H's, in any order. Looking at the chart, this happens in 3 different scenarios. Since there are a total of 8 possible outcomes, the probability of this happening is 3/8 or answer choice B. Hope this helps!

Answer:B

Step-by-step explanation: the number of event is 3 event={HHT, HTH,THH }

And the number of sample space is 8

By using 2^n formula our n is 3 2^3 = 8

The probability = 3/8

Hope it helps

Brainliest please

Answer:

Weekly Mean Number of 50-kg bags =10.8 bags

Step-by-step explanation:

In Week 1, Kim uses 7  50kg bags of flour

In Week 2, Kim uses 14  50kg bags of flour

In Week 3, Kim uses 8 X 50kg bags of flour

In Week 4, Kim uses 13 X 50kg bags of flour

In Week 5, Kim will make 2400 loaves.

Each of these loaves will need 250g of flour.

Total Mass of flour that will be used =2400 X 250=600,000 grams

[tex]600,000$ grams=600,000 \div 1000$ kg =600kg\\Number of 50-kg bags =600 \div$ 50 =12 bags[/tex]

In Week 5, Kim will use 12 bags.

Therefore:

Weekly Mean number of 50kg bags of flour used in these 5 weeks.

[tex]=\dfrac{7+14+8+13+12}{5}\\\\ =\dfrac{54}{5}\\\\=10.8 \\ \approx 11$ bags[/tex]

Last year- 8 lbs 3 ounces

Add 2 lbs and 4 ounces

Which is 10 lbs 7 ounces

10 lbs in onces is 160 ounces

Then you add the other 7 ounces so the final answer is 167 ounces

Tyson’s puppy weighs 167 ounces!

Good luck please mark me as braniliest!!!!!!

Answer:

y = x+2

y =-x+2  shows 0

We want to show 1 both sides

2y = x+2  shows 2

y = x+2 shows 0 as explained below.

Step-by-step explanation:

3y−x=6

Solve for y.

y=2+x3

Rewrite in slope-intercept form.

y=13x+2.

Use the slope-intercept form to find the slope and y-intercept.

Slope: 13 y-intercept: 2

Any line can be graphed using two points. Select two

x values, and plug them into the equation to find the corresponding y values.

xy 02, 33

Graph the line using the slope and the y-intercept, or the points.

Slope:

13y-intercept: 2x y (0,2) (3,3)

Answer:

five dollars and forty cents

5.40$

Step-by-step explanation:

90+6%= 95.40

Answer:

480

Step-by-step explanation:

Answer:

9, 1

Step-by-step explanation:

Counting numbers are numbers that can be used for counting purposes. This group of numbers does not include negative numbers, fractions, zero, decimal numbers etc. They are positively directed whole numbers.

From the question, given the condition not to simplify, then the counting numbers are:

                     9, 1

others numbers can not be referred to as counting numbers.

Answer:

[tex]y=0.25x+18[/tex]

Step-by-step explanation:

So first we take the equation we are given and write it in slope-intercept form (y = mx + b):

[tex]y+4= \frac{1}{4} (x+5)\\\\y+4=0.25x +1.25\\\\y=0.25x-2.75[/tex]

Now we know parallel lines have the same slope, so the line we are looking for has a slope of 0.25.

so we can start to set up our equation:

[tex]y=0.25x+b[/tex]

and then substitue in the point (8,20) to find the y-intercept.

[tex]20=0.25(8)+b\\20=2+b\\b=18[/tex]

So now we have our equation:

[tex]y=0.25x+18[/tex]

Hope this helps!

Answer:

both rotational and reflectional

Answer: both rotational and reflectional

Step-by-step explanation: a p e x

Answer:

Step-by-step explanation:

so there’s 25 and 25 it’s kinda like counting money divide it into 4 pieces 25 , 50 , 75 , 100

Answer:

The answer would be x=3

Step-by-step explanation: