If Damien does a job in 21 hours less time than Caitlyn, and they can do the job together in 14 hours, how
long will it take each to do the job alone?

Answer:

b). There is little to no evidence to conclude the mean driving time for the alternative route is different from the mean driving time of the detour.

Step-by-step explanation:

The most adequate statement to examine the proposition is that 'there is lack of adequate evidence to substantiate the claim that the mean time taken for driving through the detour and the alternative route is distinct.' This will help in testing that there is a lack of evidence to establish the validity or truth of the proposition that if the detour is actually shorter than the alternative route or not. No data has been provided to clarify that the mean driving time in both routes traveled by Sarah was varied. Hence, option b is the correct answer.

Answer:

x=20

Step-by-step explanation:

Since BAC and EDC are the same (ACB and DCE are congruent), 2x+10=3x-10, x=20

I hope this helps and sorry if it's wrong

Answer:

15*16*17*18*19*20 I thank it is your answer

Answer:

Step-by-step explanation:

2(lb+bh+hl) is the formula for surface area. So,

2(54+81+54) = 2(189) which is 378.

I think the surface area is 378 square inches, or 378 in^2

Answer:

OS = 10

Step-by-step explanation:

We can use a ratio to solve

QP     PR

-----  = ------

QO     OS

14          7

-----   = -------

14+6      OS

14          7

-----   = -------

20        OS

Using cross products

14 * OS = 7*20

14 OS = 140

Divide by 14

OS = 140/14

OS = 10

Answer:

C'D' = 4

Step-by-step explanation:

When the figure is reflected, the length of the segments does not change.

CD = 4 so C'D' = 4

Answer:

4 units

Step-by-step explanation:

a reflection is a rigid transformation, meaning that the size and shape of the figure does not change. therefore, the length of C'D' will be the same as the length of CD.

Length of CD: 4 units

so,

C'D'=4units

Answer:

Answer is B. 76.

Step-by-step explanation:

Let thw unknow angle be y

sin y = p/h

sin y = 32/33

y = sin‐¹(32/33)

y = 75.85888977

so y = 75.9 = 76

Answer:

44

Step-by-step explanation:

gradpoint

Answer:

Neither lines r and s nor lines t and u must be parallel from the information given

Step-by-step explanation:

<2 and <4 are vertical angles so they are always equal

<5 and <7 are vertical angles so they are always equal

We are not given any information to tell if any of the lines are parallel

Neither lines r and s nor lines t and u must be parallel from the information given

I made a comment about this but I mean, free 30 points.

I think the answer is the last one. It only mentions <2 = <4 and <5 = <7. Nowhere does it say <2 =< 5 for example. So it can be any two lines of which don't have to be parallel to each other.

Step-by-step explanation:

100% = $70.99

there is a discount of 25%.

that means 75% (100 - 25) of the original price remains.

the equation to get any x% amount of a 100% total is simply

x% amount = 100% total amount × x/100

25% = 70.99 × 25/100 = $17.75

Answer:

3/6 for the probability of getting and odd number and 2/6 for rolling higher than the number 4

Step-by-step explanation:

Answer:

6/36  or 1/6 chance.

Step-by-step explanation:

dice roll one has the same numerator as dice roll two

As it acts the same as replaced from a marble bag.

Therefore, we show;

odd numbers on a die =  1, 3,5  = 3

= 3/6 = 1/2

and we show;

numbers higher than 4  = 5, 6 = 2

= 2/6  = 1/3

3/6 x 2/6 = 6/36 = 1/6

The reasons why its so low is that for one dice is is 1/3 chance and for the other dice it is 1/2 chance but to get them in order it reduces again by 2/3 the opposite and by 1/2 the opposite for apposing such result.

Answer:

Step-by-step explanation:

Answer:

4 and -1

Step-by-step explanation:

A quadratic function is given to us and we need to find the x Intercepts of the given function . The function is ,

[tex]\bf \implies g(x) = -2( x -4)(x+1)[/tex]

Step 1 : Equate the function with 0,

[tex]\bf \implies -2( x -4)(x+1) = 0 [/tex]

Step 2: Equating with 0 :-

Now equate each factors seperately with 0 , to get the x Intercepts.

Step 3: Finding the intercepts :-

[tex]\bf \implies x - 4 = 0 \\\\\implies\boxed{\bf\blue{ x = 4 }} [/tex]

Again ,

[tex]\bf \implies x + 1 = 0 \\\\\implies\boxed{ \blue{\bf x = -1}} [/tex]

Hence the x intercepts are 4 and -1 .

Answer:D (4,0) and (-1,0)

Step-by-step explanation:

Answer:

1 page of a report per hour

Step-by-step explanation:

2/2= 1 page per hour

Lets find unit rate

[tex]\\ \sf\longmapsto \dfrac{2\dfrac{1}{2}}{2}[/tex]

[tex]\\ \sf\longmapsto \dfrac{5}{2}\div 2[/tex]

[tex]\\ \sf\longmapsto \dfrac{5}{4}[/tex]

[tex]\\ \sf\longmapsto 1.2pages/hour[/tex]

Step-by-step explanation:

cos=ROQ

Sin=QOP

HOPE THIS HELP

Answer:

262.5

Step-by-step explanation:

V = l x b x h

=14x25/4x3

=262.5

Answer:

Step-by-step explanation:

Answer:

$1

Step-by-step explanation:

I assume by 10, you mean 10 dollars so you do $11 - $10 to get your answer of $1. The pen costs $1.

Hope it helps c:

The pen and the notebook together cost 11 dollars and the pen itself cost 0.5 dollars.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, A notebook and a pen together cost 11$.

The notebook costs 10 more than the pen.

Assuming the pen costs x dollars then the notebooks costs (x + 10) dollars.

∴ x + x + 10 = 11.

2x = 1.

x = 1/2.

So, the cost of the pen is 0.5 dollars and the cost of the notebook is 10.5 dollars.

learn more about numerical expressions here :

https://brainly.com/question/29199574

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Answer: 4,170

Step-by-step explanation:

[tex]\displaystyle\ \Large \boldsymbol{} log_2 18=log_2 \ 2+log_2 \ 9=1+3,16\underline99 \approax \approx4,170[/tex]

Answer:

so y = 48 when x = 4

Step-by-step explanation:

if y = 24, x = 2

or, if x = 2, y = 24

so, if x = 1, y = 24/2

so, if x =1, y = 12

then if x = 4, y = 12×4 = 48

The required simplified value of the y at x = 4 is given as y = 192.

Given that,
y varies directly as the cube of x, and y = 24 when x = 2.
To determine y at x = 4.

Proportionality is defined as between two or more sets of values, and how these values are related to each other in the sense are they directly proportional or inversely proportional to each other.

here,
According to the question,
y ∝ x³
From the above property,
y₁/y₂ = [x₁ / x₂]³
Substitute the value in the equation,
24/y₂ = [2/4]³
y₂ = 64/8 × 24
y₂ = 192

Thus, the required simplified value of the y at x = 4 is given as y = 192.

Learn more about proportionality here: https://brainly.com/question/22620356

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Answer:

1/4

3/8

5/8

2/5

Step-by-step explanation:

From the table :

1.)

P(9th grade) = (9th grade total / total) = 4 / 16 = 1/4

2.)

P(comedy) = (comedy total / total) = 6 / 16 = 3/8

3.)

P(not action) = 1 - P(action) = 1 - (action total / total) = (1 - 6/16) = 1 - 3/8 = 5/8

4.)

P(comefy | 10th grade) = P(comedy n 10th grade) / P(10th grade) = 2 / 5

Answer:

The answer is 12

Step-by-step explanation:

Answer:

(a) Hence the maximum error in the calculated area of the disk is 32.67[tex]cm^{2}[/tex].

(b) Hence the relative error is 1.54%.

Step-by-step explanation:

Here the given are,

The Radius of the circle r = 26cm.

The maximum error in measurement dr = 0.2 cm.

Answer:

(a) [tex]A =(4245.28\pm32.66) cm^2[/tex]

(b) [tex]\frac{dA}{A}=\frac{32.66}{4245.28}=0.0077[/tex]

Step-by-step explanation:

radius, r = 26 cm

error = 0.2 cm

(a) The area of the disc is given by

[tex]A = \pi r^2\\\\dA = 2\pi r dr\\\\dA = 2 \times 3.14\times 26\times 0.2= 32.66[/tex]

Now

A = 3.14 x r x r = 3.14 x 26 x 26 = 4245.28 cm^2

So, the area with error is given by

[tex]A =(4245.28\pm32.66) cm^2[/tex]

(b) The relative error is

[tex]\frac{dA}{A}=\frac{32.66}{4245.28}=0.0077[/tex]

Answer:

5x³ - 4x + 1

Step-by-step explanation:

1.) 2x³ + 3x³ = 5x³

2.) 4x - 8x = -4x

3.) -6 + 7 = 1

4.) Line them up: 5x³ - 4x + 1

Answer:

The team can assign field positions to 9 of the 19 players in 181,440 different ways.

Step-by-step explanation:

Since the outfielders (left field, center field, right field) can play any outfield position, the infielders (1st base, 2nd base, 3rd base, short stop) can play any infield position, the pitchers can only pitch, and the catchers can only catch, supposing a certain team has 20 players, of whom 3 are catchers, 4 are outfielders, 6 are infielders, and 7 are pitchers, to determine how many ways can the team assign field positions to 9 of the 19 players, putting each of the 9 selected players in a position he can play, and ensuring that all 9 field positions are filled, the following calculation must be performed:

3 x 7 x 6 x 5 x 4 x 3 x 4 x 3 x 2 = X

21 x 30 x 12 x 24 = X

630 x 12 x 24 = X

181,440 = X

Therefore, the team can assign field positions to 9 of the 19 players in 181,440 different ways.

Answer:

37.3

Step-by-step explanation:

19tan(63) = x = 37.289... = 37.3

Answer:

b

Step-by-step explanation: