how can you work with anybody annoying you white your working at home on a test?

Answer:

He pours 1 2/10 into each bottle.

Step-by-step explanation:

Answer: 2/5

Step-by-step explanation:

The area of the rectangle is 32 square units, the area of each triangle is 6 square units, and the Total area is 44 square units.

1. The rectangle, which has a length of 8 units and a width of 4 units.

2. The two triangles, which are identical and have a base of 4 units and a height of 3 units.

To find the area of the rectangle, we can use the formula:

Area = Length x Width

Area = 8 x 4 = 32 square units

To find the area of each triangle, we can use the formula:

Area = 1/2 x Base x Height

Area = 1/2 x 4 x 3 = 6 square units

So, the total area of both triangles is:

Total area = 6 + 6 = 12 square units

Now, to find the total area of the figure, we can add the areas of the rectangle and the two triangles:

Total area = Area of rectangle + Total area of triangles

Total area = 32 + 12 = 44 square units

Therefore, the area of the rectangle is 32 square units, the area of each triangle is 6 square units, and the total area is 44 square units.

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Answer:

0.0588 = 5.88% probability that a middle-aged man with diabetes is very active

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

\(P(B|A) = \frac{P(A \cap B)}{P(A)}\)

In which

P(B|A) is the probability of event B happening, given that A happened.

\(P(A \cap B)\) is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Has diabetes.

Event B: Is very active.

Probability of having diabetes:

To find this probability, we take in consideration that:

It also found that men who were very active (burning about 3,500 calories daily) were a fourth as likely to develop diabetes compared with men who were sedentary. Assume that one-fifth of all middle-aged men are very active, and the rest are classified as sedentary.

So the probability of developing diabetes is:

x of 4/5 = x of 0.8(not active)

x/4 = 0.25x of 1/5 = 0.2(very active). So

\(P(A) = 0.8x + 0.25*0.2x = 0.85x\)

Probability of developing diabetes while being very active:

0.25x of 0.2. So

\(P(A \cap B) = 0.25x*0.2 = 0.05x\)

What is the probability that a middle-aged man with diabetes is very active?

\(P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.05x}{0.85x} = \frac{0.05}{0.85} = 0.0588\)

0.0588 = 5.88% probability that a middle-aged man with diabetes is very active

Answer:

1.2 minutes, hope this helps (owo)/

Step-by-step explanation:

They got the 1.2 minutes by taking the total number of minutes (6) and dividing them by the number of laps run (5). So 6 divided by 5 gives you the 1.2.

Answer:

20 (.8) = 16

Step-by-step explanation:

It takes him 16 minutes to walk to school.  

This is because 80% as a decimal is .8 and you multiply that by how long it takes Person A to walk and you get 16.  

Answer:

16

Step-by-step explanation:

Hope this helps!

Answer:

x - 4 yards.

Step-by-step explanation:

Given:

Area of rectangle = 3x^2 - 12x square yards

Width = 3x yards

To find:

Length of rectangle

Solution:

The area of a rectangle is equal to the product of its length and width.

Area of rectangle = Length * Width

Substituting the given values, we get:

3x^2 - 12x = Length * 3x

Length =( 3x^2 - 12x )3x

Length = x-4

Therefore, the length of the rectangle is x - 4 yards.

Answer: The length of the rectangle is x - 4 yards.

Step-by-step explanation:

We can create an equation to solve this word problem, where the variable L = length.

3x  ×  L  = \(3x^2 - 12x\)

We need to solve for the variable L, to find the length of the rectangle.

First lets factor the right side of the equation to make it easier to divide with.

3x  ×  L  = \(3x^2 - 12x\)

We can factor out 3x from the right side of the equation.

3x  ×  L  = 3x(x - 4)

Now we need to get the variable L by itself (isolating the variable). In order to do that, we can divide both sides by 3x.

3x ×  L  = 3x(x - 4)

/3x           /3x

L = x - 4

The length of the rectangle is x - 4 yards.

The measures of side lengths of triangle are 10 feet, 15 feet and 20 feet.

A triangle is a three-sided polygon that consists of three edges and three vertices.

Given that perimeter of a triangle is 45 feet.

ratio of the lengths of the three sides is 2:3:4

We have to find the measure of each side.

Let us consider the side lengths are 2x, 3x, and 4x.

2x+3x+4x=45

Add the like terms

9x=45

Divide both sides by 9

x=5

Side lengths are 2x = 2×5 = 10 feet,

3x = 3× 5 = 15 feet, and 4x = 4 ×5 = 20 feet.

Hence, the measures of side lengths of triangle are 10 feet, 15 feet and 20 feet.

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A) The variable is n, which represents the number of the figure in the pattern.

B) Here is a table for up to 8-figure patterns:

Figure Number of Cheerios

1                      1

2                      3

3                      6

4                     10

5                     15

6                     21

7                    28

8                    36

C) The equation to represent the nth term of the sequence is n(n+1)/2.

D) If the pattern continues, the figure number that will have 20 whole Cheerios in it is 12.

E) It is not reasonable to think this pattern would continue forever. The number of Cheerios in each figure is increasing by 2 each time. This means that the number of Cheerios in the figure will eventually exceed the number of Cheerios in a box.

F) Based on the information provided, the largest figure number we can have using a full box of Cheerios is 107. This is because there are 108 Cheerios in a box, and the number of Cheerios in each figure is increasing by 2 each time.

Here is a more detailed explanation of how to answer each question:

A) Identify and label the variable

The variable is n, which represents the number of the figure in the pattern. For example, the first figure is figure 1, the second figure is figure 2, and so on.

B) Make a table for up to 8-figure patterns

Here is a table for up to 8-figure patterns:

Figure Number of Cheerios

1                        1

2                        3

3                        6

4                        10

5                        15

6                        21

7                        28

8                        36

C) Write an equation to represent the nth term of the sequence

The equation to represent the nth term of the sequence is n(n+1)/2. This equation can be derived by looking at the table of values. For example, the number of Cheerios in the first figure is 1, which is equal to 1(1+1)/2. The number of Cheerios in the second figure is 3, which is equal to 2(2+1)/2. And so on.

D) If the pattern continues, what figure number will have 20 whole Cheerios in it?

If the pattern continues, the figure number that will have 20 whole Cheerios in it is 12. This can be found by solving the equation n(n+1)/2 = 20. The solution is n = 12.

E) Is it reasonable to think this pattern would continue forever? If not, explain.

It is not reasonable to think this pattern would continue forever. The number of Cheerios in each figure is increasing by 2 each time. This means that the number of Cheerios in the figure will eventually exceed the number of Cheerios in a box.

F) Based on the information provided, what is the largest figure number we can have using a full box of Cheerios?

Based on the information provided, the largest figure number we can have using a full box of Cheerios is 107. This is because there are 108 Cheerios in a box, and the number of Cheerios in each figure is increasing by 2 each time.

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Regression equation correctly models the data is: y = -43.98x + 1,279.93

To determine the regression equation that correctly models the data, we can use the method of linear regression. The regression equation for a straight line is generally expressed as y = mx + b, where m is the slope and b is the y-intercept.

Using the given table, we can calculate the necessary values to determine the regression equation. Let's denote the sigma notation as Σ.

The slope (m) can be calculated using the formula:

\(m = (Σxy - (Σx)(Σy) / n(Σx^2) - (Σx)^2)\)

Plugging in the values from the table:

m =\((776,600 - (299)(12,400) / 6(18,109) - (299)^2)\)

m = (776,600 - 3,708,800 / 6(18,109) - 89,401)

m = (-2,932,200 / 66,654)

m ≈ -43.98

The y-intercept (b) can be calculated using the formula:

b = (Σy - m(Σx)) / n

Plugging in the values from the table:

b = (12,400 - (-43.98)(299)) / 6

b ≈ 1,279.93

The correct regression equation that models the data is:

y = -43.98x + 1,279.93

Out of the given options, the correct regression equation is:

y = -43.98x + 1,279.93

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Me and Skid believe the awnser is A, Triangle!

A triangular prism has two congruent, parallel bases and three lateral sides.

What is a prism?

A prism is a polyhedron that has two n-sided bases and n number of lateral sides. Those two bases are exactly the same.

A pentagon and a rectangle are two dimensional figures. Hence, there are neither parallel bases nor lateral sides. Whereas a prism is a three dimensional figure consists of two congruent, parallel bases and three lateral sides.

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Answer:

C. all four angles are congruent, and opposite sides are congruent for a horizontal and vertical line of reflection

Step-by-step explanation:

A. isn't correct because all four sides aren't congruent, only the pair of opposite sides are congruent. Sense only opposite side are congruent you can only reflect the opposite sides onto each other and not diagonally meaning B. and D. are incorrect leaving C. all four angles are congruent, and opposite sides are congruent for a horizontal and vertical line of reflection as the correct answer

The rate at which the infected population is growing after 8 days of the outbreak is approximately 1096.57 people per day, as determined by the derivative of the given function with respect to time.

To find the rate at which the infected population is growing after 8 days, we need to take the derivative of the given function I(t) with respect to t:

\(dI/dt = 3900(0.0514)e^(0.0514t)\)

At t=8, the rate at which the infected population is growing is:

\(dI/dt = 3900(0.0514)e^(0.0514*8) = 1096.57\)

Therefore, the rate at which the infected population is growing after 8 days is approximately 1096.57 people per day.

It is important to note that this rate of growth is an instantaneous rate at t=8, and it will likely change as time passes and the outbreak progresses. Furthermore, the rate of growth of the infected population depends on various factors such as the transmission rate of the virus, the effectiveness of preventive measures, and the availability of healthcare resources.

In conclusion, the rate at which the infected population is growing after 8 days of the outbreak is approximately 1096.57 people per day, as determined by the derivative of the given function with respect to time. This result provides insight into the early stages of a flu outbreak, but further analysis is required to understand the longer-term dynamics of the outbreak and the factors that affect the spread of the disease.

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Answer:

the answer is a

Step-by-step explanation:

-4 1/2 is the least number, then negative 1.6, then negative 1, then a positive 3.2

Step-by-step explanation:

the height of the prism is the missing side of the triangular "side".

Pythagoras

c² = a² + b²

with c being the Hypotenuse (the side opposite of the 90 degree angle).

10² = 6² + height²

height² = 10² - 6² = 100 - 36 = 64

height = 8 in

the volume of the prism is now

length × width × height / 2 (due to the triangle "cut" only half of the full "box" remains for this prism).

so we have

14 × 6 × 8 / 2 = 14 × 6 × 4 = 336 in³

Answer:

there is no question like that

Step-by-step explanation:

are you fooling AROUND

The three (3) statements which are true include the following:

A. The radius of the circle is 3 units.

B. The center of the circle lies on the x-axis.

D. The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.

In Mathematics, the standard form of the equation of a circle is represented by this mathematical expression;

(x - h)² + (y - k)² = r²   ....equation 1.

Where:

h and k represents the coordinates at the center of a circle.

r represents the radius of a circle.

From the information provided above, we have the following equation of a circle:

x² + y² – 2x – 8 = 0      ......equation 2.

In order to determine the true statements, we would rewrite the equation in standard form and then factorize by using completing the square method:

x² – 2x + y² = 8 = 0

x² – 2x + (2/2)² + y² = 8 + (2/2)²

x² – 2x + 1 + y² = 8 + 1

(x – 1)² + (y - 0)² = 9         .......equation 3.

Comparing equation 1 and equation 3, we have the following:

Center (h, k) = (1, 0)

Radius (r) = 3

Additionally, this line and the center of the given circle lies on the x-axis (x-coordinate) because the y-value is equal to zero (0).

(x – 0)² + (y - 0)² = 3²

x² + y² = 9.

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The required distinct roots of the following equation using the quadratic formula is x = -3±√5i.

Any quadratic problem can be solved using the quadratic formula.

The equation is first changed to have the form ax2+bx+c=0, where a, b, and c are coefficients.

After that, we enter these coefficients into the following formula: (-b(b2-4ac))/(2a).

So, the quadratic formula:

x = -b±√b²-4ac/2a

Now, insert values and calculate for roots as follows:

x = -b±√b²-4ac/2a

x = -b±√b²-4*4(1)*14/2(1)

x = -b±√36/56/2

x = -b±√-20/2

Discriminant: b² - 4ac < 0

Now,

x = -6± 2√5i/2

x = -6/2 ± 2√5i/2

x = -3±√5i

Therefore, the required distinct roots of the following equation using the quadratic formula is x = -3±√5i.

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The gap in the histogram tells her that she did not earn any wages that week.

A histogram is a graphical data representation that reveals a dataset's distribution. It consists of a sequence of bars, where the height of each bar denotes the frequency or count of data points falling inside a given range and the width of each bar denotes a range of values.

Alexandra's pay histogram shows a gap from 21 to 30, which indicates that she did not work that week. This is so because no wages in the range of 21 to 30 are recorded in the histogram, which displays the amount she made each week.

It's possible that Alexandra was on vacation or ill and unable to work that week. Whatever the cause, the histogram gap indicates that she did not get any pay that week.

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Answer:

D. 60.3

Step-by-step explanation:

Finding the mean,

M = (sum of values of data)/(number of data)

now, number of data = 9,

calculating the mean,

M = (54 + 68 + 68 + 54 + 59 + 58 + 68 + 57 + 57)/9

M = 543/9

M = 60.333

M = 60.3

Answer:

10:

7/4π = 5.5(1decimql place)

11:

50π = 157.1(1 decimal place)

Step-by-step explanation:

the equation is (angle/360) X πr^2

Answer:

Step-by-step explanation:

Since, ABCDEF is a regular hexagon,

Measure of central angle of a regular polygon = \(\frac{360}{n}\)

where n = number of sides of the polygon

Measure of central angle of regular hexagon = \(\frac{360}{6}\) = 60°

That means when we rotate a regular hexagon by an angle in the multiple of 60°, hexagon overlaps itself.

Therefore, by the rotation of 240° clockwise, point C will replace the position of point A.

Image of hexagon ABCDEF will become CDEFAB.

Similarly, after rotation by 120° counterclockwise about the center image hexagon will be EDCBAF.

Answer:

(x) ∠CAB

Step-by-step explanation:

In ΔCOD and ΔBOA

\(\frac{OA}{OB} = \frac{OD}{OC} \\\\\implies \frac{OC}{OB} = \frac{OD}{OA}\)

Also,

∠COD = ∠BOA (vertically opposite angles)

⇒ ΔCOD and ΔBOA are similar

⇒ ∠CDO = ∠BAO

⇒ ∠CDB = ∠BAC

⇒ ∠CDB = ∠CAB

Answer:

Some fractions equivalent to 3/2 are...

6/4     9/6  12/8       15/10        18/12  21/14 24/16

27/18  30/20  33/22  36/24

Answer:

6/4 or 9/6

Step-by-step explanation:

Answer:

4910 - i think

Step-by-step explanation:

Answer:

4,910

Step-by-step explanation:

Answer:

seven-eighths

Step-by-step explanation:

easy u asked for the answer but yet you had the answer

(b) The probability that the call is not for medical assistance = 0.37

(c) The probability that two successive calls will both be for medical assistance = 0.3969

(d) The probability that the first is for medical assistance and the second is not for medical assistance = 0.2331

(e) The probability that exactly one of the next two calls is going to be for medical assistance = 0.4662

The probability of an event is the proportion of favourable outcomes to all other possible outcomes. The symbol x can be used to denote how many successful outcomes there were in an experiment with 'n' outcomes. The formula below can be used to determine a given event's probability:

Probability (Event) = Positive Results/Total Results

                                 = x/n

Given P (call for medical assistance) = 0.63

This means that out of all incoming calls to the fire station, the probability that the call is for medical assistance is 0.63 or 63%. The complement of this event, which is the probability that an incoming call is NOT for medical assistance, is:

P (Not Medical Assistance) = 1 - P (Medical Assistance)

                                            = 1 - 0.63

                                            = 0.37

Now, assuming that successive calls are independent of one another, the probability that two successive calls will both be for medical assistance will be:

P (2 calls for medical assistance)

= 0.63 × 0.63

= 0.3969

The probability that the first is for medical assistance and the second is not for medical assistance will be:

P (1st for medical assistance × 2nd for not medical assistance)

= 0.63 × 0.37

= 0.2331

The probability that exactly one of the next two calls is going to be for medical assistance will be:

P (Exactly 1 call for medical assistance)

= (0.63×0.37) + (0.63×0.37)

= 0.2331 + 0.2331

= 0.4662

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Answer:

8

Step by Step Explanation

Answer and Step-by-step explanation:

To find Z, we have to use the trigonometric function of Sine.

The Sine trig function looks like this:

sin(Angle) = \(= \frac{opposite.side}{hypotenuse}\)

Plug in the values and solve for z.

\(sin(30) = \frac{4}{z} \\\\\\\\\\z = \frac{4}{sin(30)}\)

Plug into a calculator and solve.

We get z to be 8.

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