100 members of a Gym are surveyed. The results are shown below. Given the gym member chosen at random is a female, what is the probability that they were aged 20+?

Answer:

solution,

[tex]a. \: x(x + 2) \\ \: \: = x \times x + 2 \times x \\ \: \: = {x}^{2} + 2x[/tex]

[tex]b . \: x(2x - 5) \\ \: = x \times 2x - x \times 5 \\ \: \: = 2 {x}^{2} - 5x[/tex]

[tex]c. \: 2x(3x + 4) \\ \: = 2x \times 3x + 2x \times 4 \\ \: \: = 6 {x}^{2} + 8x[/tex]

[tex]d. \: 6x(x - 2) \\ \: \: = 6x \times x - 6x \times 2 \\ \: \: = 6 {x}^{2} - 12x[/tex]

Hope this helps...

Good luck on your assignment..

Answer:

The function for the outside temperature is represented by [tex]T(t) = 85\º + 15\º \cdot \sin \left[\frac{t-6\,h}{24\,h} \right][/tex], where t is measured in hours.

Step-by-step explanation:

Since outside temperature can be modelled as a sinusoidal function, the period is of 24 hours and amplitude of temperature and average temperature are, respectively:

Amplitude

[tex]A = \frac{100\º-70\º}{2}[/tex]

[tex]A = 15\º[/tex]

Mean temperature

[tex]\bar T = \frac{70\º+100\º}{2}[/tex]

[tex]\bar T = 85\º[/tex]

Given that average temperature occurs six hours after the lowest temperature is registered. The temperature function is expressed as:

[tex]T(t) = \bar T + A \cdot \sin \left[2\pi\cdot\frac{t-6\,h}{\tau} \right][/tex]

Where:

[tex]\bar T[/tex] - Mean temperature, measured in degrees.

[tex]A[/tex] - Amplitude, measured in degrees.

[tex]\tau[/tex] - Daily period, measured in hours.

[tex]t[/tex] - Time, measured in hours. (where t = 0 corresponds with 5 AM).

If [tex]\bar T = 85\º[/tex], [tex]A = 15\º[/tex] and [tex]\tau = 24\,h[/tex], the resulting function for the outside temperature is:

[tex]T(t) = 85\º + 15\º \cdot \sin \left[\frac{t-6\,h}{24\,h} \right][/tex]

Answer:

The system has infinity many solutions

Step-by-step explanation:

If it had no solutions there would be another like that does not go through it....if it was one solution it would have another like going through the other line....and since it has two lines that are on top of each other in the same point it's infinity solutions

Answer:

Step-by-step explanation:

Answer:

∠ ABE = 46°

Step-by-step explanation:

Since BE bisects ∠ ABC , then

∠ EBC = ∠ ABE, substitute values

4x - 6 = 2x + 20 ( subtract 2x from both sides )

2x - 6 = 20 ( add 6 to both sides )

2x = 26 ( divide both sides by 2 )

x = 13

Thus

∠ ABE = 2x + 20 = 2(13) + 20 = 26 + 20 = 46°

Answer:

[tex]t = 2.86 \: s[/tex]

The ball remains in the air for 2.86 seconds.

Step-by-step explanation:

A baseball is hit into the air, and its height above the ground is described by the function

[tex]H(t) = -16t^2 + 45t + 2[/tex]

Where H(t) represents the height of the ball t seconds after it is hit.

The ball remains in the air before it hits the ground.

When the ball hits the ground,

[tex]H(t) = 0[/tex]

So,

[tex]0 = -16t^2 + 45t + 2[/tex]

The equation may be solved using the quadratic formula.

[tex]$t=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$[/tex]

Where

[tex]a = -16 \\\\b = 45 \\\\c = 2 \\\\[/tex]

So,

[tex]t=\frac{-(45)\pm\sqrt{(45)^2-4(-16)(2)}}{2(-16)} \\\\t=\frac{-45\pm\sqrt{(2025 - (-128)}}{-32} \\\\t=\frac{-45\pm\sqrt{(2153}}{-32} \\\\t=\frac{-45\pm 46.4004}{-32} \\\\t=\frac{-45 + 46.4004}{-32} \: and \: t=\frac{-45 - 46.4004}{-32}\\\\t= -0.04 \: and \: t = 2.86 \\\\[/tex]

Since the time cannot be negative, discard the negative value and accept the positive value

[tex]t = 2.86 \: s[/tex]

Therefore, the ball remains in the air for 2.86 seconds.

Answer:

Step-by-step explanation:

5*2=10, 10*2=20...

it is a geometric progression with ratio= 2

a11=a10*2=2560* 2=5120

Answer:

X=8.8 and Y=1

Step-by-step explanation:

Answer:

Shorting distance = 6 km

Step-by-step explanation:

Given:

Distance walk = 7 km west

Distance walk = 24 km north

Find:

Shorting distance

Computation:

Using Pythagorean theorem:

Magnitude AB = √AC² + BC²

Magnitude AB = √7² + 24²

Magnitude AB = √49 + 576

Magnitude AB = 25 Km

Total distance Nick walk = 7 km + 24 km

Total distance Nick walk = 31 km

Shorting distance = 31 km - 25 km

Shorting distance = 6 km

Answer:

3 o'clock (5, 0)

6 o'clock (0, -5)

9 o'clock (-5, 0)

12 o'clock (0, 5)

Step-by-step explanation:

Given that diameter of clock = 10 units

We know that:

[tex]Radius =\dfrac{Diameter}{2}[/tex]

Radius = 5 units

The length of face will be equal to radius of clock i.e.

Length of face = 5 units

For the question, we need to visualize the clock time 3 o'clock, 6 o'clock, 9 o'clock and 12 o'clock on the coordinate xy axis.

Please refer to the attached graph to have a better understanding.

In every 3 hours the face will move [tex]90^\circ[/tex] i.e. one quadrant as per the location of clock faces.

At 3 o'clock the face will be on the positive x axis.

So coordinate (5, 0)

At 6 o'clock the face will be on the negative y axis.

So coordinate (0, -5)

At 9 o'clock the face will be on the negative x axis.

So coordinate (-5, 0)

At 12 o'clock the face will be on the positive y axis.

So coordinate (0, 5)

So, the answer is:

3 o'clock (5, 0)

6 o'clock (0, -5)

9 o'clock (-5, 0)

12 o'clock (0, 5)

Answer:

12 o'clock (0,5)

3 o'clock  (5,0)

6 o'clock  (0,-5)

9 o'clock (-5, 0)

Step-by-step explanation:

Answer:

a . See attachment

b. because we will find the distance from the bottom of the ladder to the base of the building.

c. sin 60 = opposite side / hypotenuse

d.sin 60 = x / 10

e .  8.66 ft =x

f. see attachment

i. cos 60° = adjacent side / hypotenuse

Step-by-step explanation:

a . See attachment

b. because cos 60° = adjacent side / hypotenuse, the hypotenuse is equal to the length of the ladder (10), and the adjacent side that we will find is the distance from the bottom of the ladder to the base of the building. not the height that the ladder reaches .

c. sin 60 = opposite side / hypotenuse

Because we will find the opposite side which is the height that the ladder reaches.

d.sin 60 = x / 10

e .  

0.866025403 = x/10

10 (0.866025403) =x

8.66 ft =x

f. see attachment

i. cos 60° = adjacent side / hypotenuse

Because we will find the adjacent side which is the distance from the bottom of the ladder to the base of the building.

Answer:

Step-by-step explanation:

g(x) = radical 25/9x would be clearer if written as g(x) = radical (25/9)x.  Note that radical (25/9) = (5/3).

The graph of g(x) = radical (25/9)x would have the same shape as that of g(x) = radical x EXCEPT that it would be stretched vertically by a factor of (5/3).

Answer: g(x) = radical 25/9x would be clearer if written as g(x) = radical (25/9)x. Note that radical (25/9) = (5/3).

The graph of g(x) = radical (25/9)x would have the same shape as that of g(x) = radical x EXCEPT that it would be stretched vertically by a factor of (5/3).

Step-by-step explanation:

Answer:

1/72

Step by step:

The probability of rolling a seven is 1/6 as there are 36 combinations you can roll on two dice, and six of them add up to 7. The probability of rolling a 4 is 1/12 as there are 3 ways to roll a 4. Multiplying these together you get 1/72.

Answer:

y = -4

Step-by-step explanation:

5.1y = –0.3y – 21.6

5.1y + 0.3y = -21.6

5.4y = -21.6

y = -4

Answer:

y=  -4

Step-by-step explanation:

Solve this equation with a variable term on both sides.

5.1y = –0.3y – 21.6

What is the solution?

y =  -4

Answer:

Below in bold.

Step-by-step explanation:

The surface area of the box

= x^2 + 4hx  where x = a side of the square base and h is the height.

So x^2 + 4hx = 8

The volume of the box

V = x^2h

From the first equation we solve for h

4hx = 8 - x^2

h = (8 - x^2) / 4x

Now we substitute for h in the formula for the volume:

V = x^2 * (8 - x^2) / 4x

V =  8x^2 - x^4 / 4x

V =  2x - 0.25x^3

Finding the derivative:

V' = 2 - 0.75x^2 =  0  for max/mimn values

x^2 = 2/ 0.75 = 2.667

x = 1.633.

So the  length and width of the base is 1.633 m and the height

= ( 8 - 2.667) / (4*1.633)

= 0.816 m

The maximum volume =  0.816 *  2.667 =  2.177 m^2.

The answers are correct to the nearest thousandth.

Answer:

(D)E(evens) = E(odds) because the different probabilities and values end up balancing out, creating a fair game. Therefore, Jessica may choose whichever she likes.

Step-by-step explanation:

The table of the probability of rolling the sums is presented below.

[tex]\left\begin{array}{ccccccccccccc}$Roll&2&3&4&5&6&7&8&9&10&11&12\\\\$Prob&\frac{1}{36}&\frac{2}{36}&\frac{3}{36}&\frac{4}{36}&\frac{5}{36}&\frac{6}{36}&\frac{5}{36}&\frac{4}{36}&\frac{3}{36}&\frac{2}{36}&\frac{1}{36} \end{array}\right[/tex]

P(an even sum)

[tex]=\frac{1}{36}+\frac{3}{36}+\frac{5}{36}+\frac{5}{36}+\frac{3}{36}+\frac{1}{36} \\\\=\frac{18}{36}[/tex]

Therefore, P(an odd sum) [tex]=\frac{18}{36}[/tex]

Therefore, E(evens) = E(odds) because the different probabilities and values end up balancing out, creating a fair game. Therefore, Jessica may choose whichever she likes.

Answer:

D /Even-odds

Step-by-step explanation:

just took test on edge 2020

Answer:

O=on

X=off

OXXOXOX  after 2011 flips.

Step-by-step explanation:

There are many ways to get the answer.

A. Actually flip them 2011 times.

One way is to put 7 cards on the table, and name them A to G, with A,E,C,G facing up, and the other facing down.

Now flip the cards in order A to G 2011 times and find the answer.  

Since you have four days to find the answer, you only have to flip about 500 times a day.

B. Simplify procedure A above.

Do the same as above, actually flip the cards, but only 14 times.

You will find that the cards are restored to the original position after 14 flips.  

If we divide 2011 by 14, we get a quotient of 143 with a remainder of 9.

We know we don't have to make 143 sets of 14 flips.  We only need to make 9!

Then again, we know that after 7 flips, the lights will be all opposite.

If O=on, and X=off then the situations are

OXOXOXO  initial

XOXOXOX  after 7 flips

OXXOXOX  after 9 flips, which is also after 2011 flips, and that is the final answer.

Answer:

1/10, 3/10, 0.9

Step-by-step explanation:

Convert to decimals.

1/10 = 0.1

0.9

3/10 = 0.3

Arrange from least to greatest.

0.1, 0.3, 0.9

1/10, 3/10, 0.9

Answer:

1st Graph

Step-by-step explanation:

Simply use a graphing calculator and plug in the systems of equations into the graph. We then choose the closest-resemblanced graph.

Answer:

Its the first graph

Step-by-step explanation:

got it right on the test

Answer:

68 Degrees

Step-by-step explanation:

A triangle is 180 degrees. So,

Add 75 + 37 = 112

Subtract 112 from 180 = 68

Answer: 68°

Step-by-step explanation: To find the missing angle measure, represented by x, it's important to understand that the sum of the measures of the angles of a triangle is 180°

So to find the value of x, we can

setup the equation x + 75° + 37° = 180°.

Solving from here, we first simplify the left side of the equation.

So 75 + 37 is 112 and we have x + 112° = 180°

Next, to get x by itself, we subtract 112° from both sides.

On the left, the 112's cancel out and we are left with x.

On the right, 180° - 112° is 68°.

So x = 68°.

This means that the missing angle

measure in the triangle shown is 68°.

Answer:

16

Step-by-step explanation:

Apply PEMDAS:

Solve the exponent, multiply from left to right, and then subtract and add from left to right.

[tex]3-2^2+4*3+5\\\\3-4+4*3+5\\\\3-4+12+5\\\\-1+12+5\\\\11+5\\\\\boxed{16}[/tex]

Answer: 16

Step-by-step explanation:

The important thing to remember here is the Order of Operations

The Order of Operations states that first solve Parentheses, then Exponents, then Multiplication and Division, then Addition and Subtraction.

There are no parentheses.

Exponents: 3 - 4+4*3+5

Multiplication and Division: 3 - 4 + 12 + 5

Addition and Subtraction:

-1+12+5

11+5

16

Hope it helps <3

let given points be

(x1,y1)=(-3,-3)

and(x2,y2)=(3,1)

equation of given line ,

(y-y1)= ((y2-y1)/(x2-x1))×(x-x1)

therefore, 2x-3y+3=0.........(i)

comparing (i ) with ax+by+c=0 we get

a=2

b= -3

c=3

then the line parallel to (i) is

ax+by+k=0 where k = -bc

that is, 2x-3y+9=0 is the required equation

Answer:

19. y = 2/3x - 10/3

20. y = -3/2x - 4

Step-by-step explanation:

First off, we need to find the equation of the line shown. There are two coordinates given. The slope of the line is (1 - -3) / (3 - -3) = 4 / 6 = 2/3. The line obviously intersects the y-axis at -1, so the equation of the line is y = 2/3x - 1.

19. If a line were to be parallel to the given line, the line would have to have a slope of 2/3. So, we have y = 2/3x + b.

To solve for b, all you need to do is substitute the coordinates given, (2, -2), and solve.

-2 = (2/3) * 2 + b

b + 4/3 = -2

b = -6/3 - 4/3

b = -10/3.

So, the equation of the line is y = 2/3x - 10/3.

20. If a line were to be perpendicular to the given line, the line would have a slope that is the negative reciprocal of the given line's slope. The slope would be -3/2. So, we have y = -3/2x + b.

To solve for b, once again, put in the given coordinates, (-4, 2), and solve.

2 = (-3/2) * (-4) + b

b + 6 = 2

b = -4

So, the equation of the line is y = -3/2x - 4.

Hope this helps!

Answer:

Check it below

Step-by-step explanation:

According to GHG platform India, in the period between [2011-2015] there was a growth of emissions in tons of Carbon Dioxide. As it follows below.

The Energy sector is the segment that contributes the most with this, followed by the Agricultural and the Industries and the Waste.

Answer:

11

Step-by-step explanation:

3|−5| − 2|−2|

Absolute value means take the non-negative value

3 * 5 -2 * 2

15 - 4

11

Answer:

x=0 , y=4

Step-by-step explanation:

3x - 3y = -12        - eq1

4x + 3y = 12        - eq 2

Add eq 1 and 2

3x - 3y + 4x +3y = -12 + 12

7x = 0

x = 0

By substituting the value of x in  eq 2

4x + 3y = 12

4(0) + 3y = 12

3y = 12

y = 12 / 3

y = 4

Answer:

(x,y)=(24,-28)

Step-by-step explanation:

1. Multiply both sides by -1

3x+3y=-12

-4x-3y-=-12

2. Elimnate one variable by adding the equations

-x=-24

3. Change the signs

x=24

4. Susbstitue the value of x in the equation 3x+3y=-12

3 x 24 + 3 y = -12

y=-28

5. Check the solution by plugging in the values.

(x,y)=(24,-28)

Answer:

the ratio would be 1:4

Step-by-step explanation:

ratio of those who has nuts:

1/5

ratio of those who dont:

1-1/5=4/5

one against another:

1/5 : 4/5 = 1:4 = with : without

Answer:

Graph

Step-by-step explanation:

The graph swapped the y and x axis values.

Answer:

Graph

Step-by-step explanation:

Answer:

1080 ml oil

240 g onions

1350 g potatoes

1800 ml milk

Step-by-step explanation:

18 ÷ 6 = 3

every ingredient x 3

60 x 6 = 360 , 360 x 3 = 1080 ml oil

80 x 3 = 240 g onions

450 x 3 = 1350 g potatoes

600 x 3 = 1800 ml milk

Answer:

≈ 10.7 ft

Step-by-step explanation:

We have 2 secants to a circle from an external point.

The product of the measure of the external part and the whole of one secant is equal to the product of the external part and the whole of the other secant.

let the internal part of the right secant be x , then

6(6 + x) = 4(4 + 12) = 4 × 16 = 64 ( divide both sides by 6 )

6 + x ≈ 10.7 ( subtract 6 from both sides )

x ≈ 4.7

length of pass = 6 + 4.7 = 10.7

Complete question:

Two random samples were done to determine how often people in a community go to the dentist the first sample surveyed 10 people as they enter their workplaces. The first sample found that the mean time between visits to the dentist with 7.5 months. The second sample survey 50 people as they enter the local grocery store. The second simple found that the mean time between visits to the dentist is 18.1 months. Which statements are true check all that apply

1) The first sample is likely to be more representative of the population.

2) The second sample is likely to be more representative of the population.

3)The second sample will give a better representation because it is larger.

4) The first sample is not biased.

5) Community members probably visit the dentist about once every 18 months.

Answer:

2,3,5

Step-by-step explanation:

2) The second sample is likely to be more representative of the population, this is because the number of observations in the second sample is more than the number of observations in the first. And the more the sample observation, the more representative it is about the population.

3.) The second sample will give a better representation because it is larger, the size of the second sample is the sole factor which gives it a better representative edge than the first sample.

5.) Community members probably visit the dentist about once every 18 months, from the question, the avarage time visit of community members to the dentist is 18.1 months which is approximately 18 months, the mean gives the average value of a distribution