The daily dinner bills in a local restaurant are normally distributed with a mean of $28 and a standard deviation of $6. a. Define the random variable in words. b. What is the probability that a randomly selected bill will be at least $39.10

The area of polygons formulas to V=2.56m^2

We have to determine,

The volume of the pyramid.

The volume of a pyramid is found using the formula,

V = (1/3) Bh

where 'B' is the base area and 'h' is the height of the pyramid.

hight =2.4m

base=1.4+1.8

base=3.2m

V = (1/3) (3.2)(2.4)

V=2.56m^2

As we know the base of a pyramid is any polygon,

we can apply the area of polygons formulas to find 'B.

V=2.56m^2.

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Answer:

  A

Step-by-step explanation:

You want to know the matrix addition representation of the translation (x, y) ⇒ (x-2, y+4) for the vertex coordinates of the parallelogram in the figure.

Translating a point 2 units left subtracts 2 from its x-coordinate.

Translating a point 4 units up adds 4 to its y-coordinate.

The coordinates of the figure are represented by a matrix with x-coordinates on the first row and y-coordinates on the second row.

The transformation will add -2 to all first-row (x) values, and +4 to all second-row (y) values. The matrix addition looks like ...

  \(\boxed{\left[\begin{array}{cccc}0&0&2&2\\-1&-3&0&-2\end{array}\right] + \left[\begin{array}{cccc}-2&-2&-2&-2\\4&4&4&4\end{array}\right]}\)

Answer: A

Step-by-step explanation:

Answer: 2 x 2 x 2 x 3 x 5

Step-by-step explanation:

Hope this helps. Those are all primes that equal 120.

Answer:

The number of sweets in the 10th bag is 53

Step-by-step explanation:

Given

Let the Number of sweets in a bag  be represented by x and frequency be represented by f

The table is as follows

x   F

39 1

40 2

41 5

42 0

43 1

Mean = 42

Required

How many sweets are in the 10th bag?​

Represent the number of sweets in the 10th bag by y;

The table becomes

x   F

39 1

40 2

41 5

42 0

43 1

y   1

The mean of observation is calculated using the following formula;

Mean = ∑fx/∑f

Where ∑ means summation

fx means f * x; i.e. product of frequency and number of sweets

f represents frequency;

Calculating ∑fx

∑fx = 39 * 1 + 40 * 2 + 41 * 5 + 42 * 0 + 43 * 1 + y * 1

∑fx = 39 + 80+ 205 + 0 + 43 + y

∑fx = 367 + y

Calcuating ∑f

∑f = 1 + 2 + 5 + 0 + 1 + 1

∑f =  10

Recall that

Mean = ∑fx/∑f and Mean = 42;

So, Mean = ∑fx/∑f becomes

\(42 = \frac{367 + y}{10}\)

Multiply both sides by 10

\(42 * 10 = \frac{367 + y}{10} * 10\)

\(420 = 367 + y\)

Subtract 367 from both sides

\(420 - 367= 367 -367 + y\)

\(53 = y\)

\(y = 53\)

Hence, the number of sweets in the 10th bag is 53

The total number of sweets in the 10th bag is 53 and this can be determined by using the formula of the mean.

Given :

The following steps can be used in order to determine the total number of sweets in the 10th bag:

Step 1 - The formula of the mean can be used in order to determine the total number of sweets in the 10th bag.

Step 2 - The formula of mean is given below:

\({\rm Mean}= \dfrac{\sum f \times x}{\sum f}\)

Step 3 - Now, substitute the values of the known terms from the given table in the above expression.

\({\rm Mean}= \dfrac{39 \times 1+40 \times 2+41 \times 5+42 \times 0+43 \times 1+y \times 1}{1+2+5+0+1+1}\)

Step 4 - Simplify the above expression.

\(\begin{aligned}\\42&= \dfrac{367+y }{10}\\y &=53 \\\end{aligned}\)

So, the total number of sweets in the 10th bag is 53.

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Answer:

If I am not mistaken the answer to your problem is B.) x+y=180

Step-by-step explanation:

All the statements are true.

A system of linear equations is a set of equations in which the number of equations are equal to number of variables.

Given,

               x = y

If,        x + y = 180

Substituting the value of y we have,

          x + x =180

              2x = 180

                 x = 180/2

                 x = 90

And           y = 90

Also,                    y = z

Therefore,      x + z = 180

Hence, x = y ,  x + y = 180 ,  y = z D , and x + z = 180.

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Answer:

44%

Step-by-step explanation:

1% of 54 is 0.54

78/0.54=144.444444

-100% b/c that's the base

44% better

The length of one drama is 47.4 minutes.

Given that a drama club is showing two videos from 4:00pm to 6:05pm having a 1/2 hours of break in between two of them,

We need to find the length of the dramas,

So,

Total time = 4:00 to 6:05 = 2 hours and 5 minutes.

Subtracting the break length = 2.083 hours - 0.5 hours = 1.58 hours.

Now the length of one drama = 1.58/2 = 0.79 hours.

= 47.4 minutes

Hence the length of one drama is 47.4 minutes.

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A standard set of tab arranged name dice includes seven different dice. The number of different ways these dice can be arranged is calculated as follows

The number of different ways in which the seven tab arranged name dice can be arranged is given by the product of the number of ways each die can be arranged.

The number of different arrangements for each of the seven dice is given as follows: Die 1: Can be arranged in 6 ways Die 2: Can be arranged in 5 ways Die

3: Can be arranged in 4 ways Die 4: Can be arranged in 3 ways Die 5: Can be arranged in 2 ways Die 6: Can be arranged in 1 way Die 7: Can be arranged in 1 way Therefore, the number of different ways in which the seven dice can be arranged is:

6 × 5 × 4 × 3 × 2 × 1 × 1=720Therefore, the number of different ways the seven tab arranged name dice can be arranged is 720.

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The polling organization contacted 2583 male university graduates with white-collar jobs to inquire about their recent raises in the past 4 months.

The polling organization reached out to a specific group of individuals: male university graduates who are employed in white-collar jobs. This targeted sample allows for a focused study on a particular demographic. By contacting 2583 individuals, the organization aims to gather a significant amount of data to draw meaningful conclusions.

The purpose of the survey is to determine whether or not these individuals received a raise at their workplace during the past 4 months. This information provides insights into the frequency and prevalence of salary increases among this specific group of male university graduates.

The results of the survey can be used to analyze trends, assess job satisfaction, and understand the economic climate for white-collar professionals.

It is important to note that without further information, such as the response rate or the methodology used, it is not possible to draw specific conclusions about the entire population of male university graduates with white-collar jobs. However, the survey serves as a valuable tool for collecting data and generating insights within the limitations of the sample.

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Answer:

\(8yds\)

Step-by-step explanation:

Given that,

In the picture there is a prism.

The volume of the prism is 120 yards³.

The base is 6 yards and the length is 5 yards.

We have to find the height of the prism.

Take the height of the prism as h.

The volume of a prism is the space that it occupies.

The formula for volume of the prism is (base×height×length)/2

120=(6×h×5)/2

120×2=30×h

240=30h

h=240/30

h=8

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Answer:

1) Measure angle QWT and TWX are complementary because their measures add up to 90 degrees.

2) Both measure angles add up to 90 degrees because they're complementary.

3) Angle QWT = 2x and angle TWX = x + 6, and since angles QWT + TWX = 90 then 2x + x + 6 = 90.

4) (Made up?:) Angle measure QWX = 90. The quarter-turn, or the small square, indicates that the angle is 90 degrees.

5) (?)

6) x = 28 because it fulfills the equation, 2x + x + 6 = 90, or 3x + 6 = 90. 90 - 6 is 84, and 84/3 is 28.

Please, tell me if I did anything wrong. I'll gladly edit it.

Answer:

Step-by-step explanation:

2). Definition of complementary angles;

3). Substitution+combine like terms;

4). 3x+ 6 - 6 = 90 - 6   Subtraction Property

5). 3x/3 = 84/3    Division Property  

6). Q.E.D. ("that which was to be demonstrated")

The length of the protein molecule, in meters, is 208 × 10⁻⁹m.

To find the length of the protein molecule:

Diameter of hydrogen atom = 104 × 10⁻¹⁰m

We are given that A protein molecule has an overall length of 2000 times (or 2 cross times 10 cubed times) the diameter of a hydrogen atom.

Therefore, the length of the protein molecule, in meters, is 208 × 10⁻⁹m.

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The correct question is given below:

The diameter of a hydrogen atom is about 1.04 cross times 10 to the power of negative 10 end exponent meters. A protein molecule has an overall length of 2000 times (or 2 cross times 10 cubed times) the diameter of a hydrogen atom. What is the length of the protein molecule, in meters, if it were written in scientific notation?

Answer:

Explanation:

1 quart = 4 cups

1 gallon = 16 cups

Yesenia buys 1 quart -> 4 cups

AND 1/2 a gallon -> 8 cups

4 cups from quart + 8 cups from 1/2 gallon = 12 cups total!

Answer:

C

Step-by-step explanation:

Given 2 sides then the third side x is in the interval

difference of 2 sides < x < sum of 2 sides, that is

9 - 5 < x < 9 + 5

4 < x < 14

Thus the third side could be 7 → C

Answer:

A.$6.44

B.$8.05

Step-by-step explanation:

A.$6.90/15%=$0.46-$6.90=$6.44

B.$6.44*25%=$1.61+$6.44=$8.05

Answer:

answer for 6.90/15%= 6

answer for 25%= 7.5

Step-by-step explanation: These are answer is all correct there are no mistakes

Answer:

6558.75

Step-by-step explanation:

total value of 100 logs = total value of an average log x 100 total value of an average log = length of an average log x price per board foot

8.25 x 7.95 = 65.5875

65.5875 x 100 = 6558.75

Answer:

y = −x + 2.5

Step-by-step explanation:

Hi there!

\(\large\boxed{x \leq -9}\)

3x - 7 ≥ 4x + 2

Subtract 3x from both sides:

3x - 3x - 7 ≥ 4x - 3x + 2

-7 ≥ x + 2

Subtract 2 from both sides:

-7 - 2 ≥ x + 2 - 2

-9 ≥ x

x ≤ -9

Answer:

1- Because the degree is two, we either have two real roots or two complex roots

The roots are non-real because the discriminant is < 0

2x^2  + 4x +  7  = 0   subtract 7 from both sides

2x^2  +  4x  = -7

2 (x ^2 + 2x)  = -7    divide both sides by 2

x^2 + 2x   =  -7/2

Take 1/2 of 2  = 1.....square it  =  1   add it to both sides

x^2 + 2x + 1  =  -7/2 + 1   factor the left, simplify the right

(x + 1) ^2  =  -5/2       take both roots

x + 1  =  ± √[ -5/2 ]    subtract 1  and simplify the right

x  = ± √[5/2] i    - 1  .

2- (a) The graph is shown below.

(b)

x-intercept = (1, 0)

y-intercept = (0, -3)

Step-by-step explanation:

Given:

The function is given as: (a)

In order to plot the graph, we need to find some points on it. We also need to find the maximum and minimum of the function.

Let us find the maximum and minimum of the function. The maxima or minima occurs when the derivative of the function is 0.

Differentiating the function with respect to 'x', we get:

Now, equating  to 0, we solve for 'x'. This gives,

Now, let us find the 'y' values for the above 'x' values

When

So, the point of maxima is (-1.33, -1.8) and point of minima is (0, -3). Mark these two points on the graph.

Let us take another random point for 'x'. Let

. Mark the point (-1, -2) on the graph.

Now, let . The value of 'y' is:

. Mark the point (1, 0) on the graph.

Now, draw a smooth curve passing through all of these points with a maximum curve at (-1.33, -1.8) and minimum curve at (0, -3).

The graph is shown below.

(b)

The x-intercept is at the point when 'y' value is 0. So, the point on the graph is (1, 0).

The y-intercept is at the point when 'x' value is 0. So, the point on the graph is (0, -3).

Answer:

695/kph

Step-by-step explanation:

Divide the kilometers (3475) by the number of hours (5)

to get 695

The height of the building is approximately 32.42 feet.

To find the height of the building, we can use the trigonometric relationship between the height, the shadow length, and the angle of elevation.

The height of the building can be calculated using the formula:

height = shadow length * tan(angle of elevation)

Given a shadow length of 80 feet and an angle of elevation of 25°, we substitute these values into the formula:

height = 80 feet * tan(25°)

Using a scientific calculator or table, we find that tan(25°) is approximately 0.4663.

Calculating the height:

height = 80 feet * 0.4663

height ≈ 37.304 feet

Therefore, the height of the building, when it casts a shadow 80 feet long at an angle of elevation of 25°, is approximately 37.304 feet, rounded to two decimal places.

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Let us make the line from the picture, pointing the given equations:

From the draw and the given equations, we note that:

Therefore, we can solve the equation for y as follows

Where in the last line, we add the similar terms, for example 3y+4y=7y. Let us continue the calculations

where in the second line of the equation above, we pass the 12 from the right to the left with opposite sign. We discover y as follows

That is, we have y=6.

Let us now calculate the value of RD an RT. We know from the question that

as we discover that y=6, substituting this value in the equations above we find:

We conclude that RS=27 and ST =27 .

Answer:

The two speeds are equal

Step-by-step explanation:

The speed is the distance divided by the time

100 meters / 9.75 seconds = 10.25641026 meters per second

Rounded to the nearest hundredth  10.26 meters per second

200 meters / 19.5 seconds = 10.25641026 meters per second

Rounded to the nearest hundredth  10.26 meters per second

The two speeds are equal

\(\sf{\bold{\blue{\underline{\underline{Given}}}}}\)

\(\sf{\bold{\red{\underline{\underline{To\:Find}}}}}\)

\(\sf{\bold{\purple{\underline{\underline{Solution}}}}}\)

⠀

we know that,

\(\boxed{\sf{speed=\dfrac{distance}{time}} }\)

In the 100-meter race in the 2012 Olympics he takes 9.75 sec

BUTTT,

he ran the 200-meter race in 19.5 seconds.

According to the question,

we have to compare the speed

⠀⠀⠀

\(\sf{\bold{\green{\underline{\underline{Answer}}}}}\)

The two speeds are equal of Yohan Blake.

Answer:

The bottom left ( square )

Step-by-step explanation:

top left : parallelogram

top right : irregular shape, i'm not sure on it's name

bottom left : square, which in special cases can be a rectangle.

bottom right : Trapezium which comes under the category of a parallelogram

The third figure in the given diagram is a rectangle.

A rectangle is a quadrilateral having the four sides and the sum of the angles is 180 in the rectangle the opposite two sides are equal and parallel and the two sides are at 90-degree.

From the given figure we can see that the third figure is having four sides in which two opposite sides are parallel and equal all the four sides are perpendicular to each other making an angle of 90 degrees.

Therefore the third figure in the given diagram is a rectangle.

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The actual dimension of the distance is approximately 0.0046667 cm.

To compute the actual dimension of a distance given a drawing measurement and a scale, you can use the following formula:

Actual Dimension = Drawing Measurement × Scale Factor

In this case, the given drawing measurement is 28 cm, and the scale is 1:60 m.

To calculate the scale factor, we need to convert the scale to the same unit as the drawing measurement. Since the drawing measurement is in centimeters (cm), we need to convert the scale from meters (m) to centimeters (cm).

1 meter = 100 centimeters

So, the scale factor is:

Scale Factor = 1:60 m = 1 cm : 60 cm = 1 : 6000 cm

Now we can calculate the actual dimension:

Actual Dimension = Drawing Measurement × Scale Factor

Actual Dimension = 28 cm × 1/6000

Actual Dimension = 28/6000 cm

Simplifying the fraction, we get:

Actual Dimension ≈ 0.0046667 cm

Therefore, the actual dimension of the distance is approximately 0.0046667 cm.

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Answer:

It is not linear

Step-by-step explanation:

Lemme see....

Answer:

23

Step-by-step explanation: