2.2.23 : Question Help A delivery person uses a service elevator to bring boxes of books up to an office. The delivery person weighs 160 lb and each box of books weighs 40 lb. The maximum capacity of the elevator is 1030 lb. How many boxes of books can the delivery person bring up at one time? ​

Answer:14

Step-by-step explanation: cookies

The data distribution is symmetric or moderately skewed, and the mean is likely close to the median (around 7).

We have,

From the box-and-whisker plots, we can find the shape of the distribution.

The form of the Data Distribution:

The data distribution appears to be somewhat symmetric or moderately skewed.

This conclusion can be made by considering the position of the median, lower quartile, and upper quartile.

The median (7) is located approximately in the center of the box, indicating that the data is somewhat balanced around this value.

Additionally, the lower quartile (5) and upper quartile (11) are equidistant from the median, suggesting a relatively symmetrical distribution.

From the box-and-whisker plots

Location of the Mean in Relation to the Median:

In a symmetric distribution, the mean and median are typically close to each other or approximately equal.

Since the median is given as 7, and we don't have the exact value of the mean, we cannot determine its precise location in relation to the median. However, it is reasonable to assume that the mean is likely to be close to the median (around 7) based on the assumption of a symmetric or moderately skewed distribution.

Thus,

The data distribution is symmetric or moderately skewed, and the mean is likely close to the median (around 7).

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Answer:

7500$

Step-by-step explanation:

a) The probability that it's raining but there is no is heavy traffic and the commuter is late is 0.24.

b) The probability that the commuter is late is equal to the 11/48.

c) The commuter arrived late one day, then the probability that it rained that day is 8/33.

We have, a data of certain town, it is rainy one fifth of the days. Bayes theorem says for any two events A, B with P(B)>0, the conditional probability of A given B is P(A|B) = P(A∩B)/P(B)

a) Let consider the events

R= rainy day

T= heavy traffic

L= one arrives late for work

P(R)=1/3, P(T|R) = 1/2, P(T|Rᶜ) = 1/4, P(L|(R∩T)) = 5/8

P(L|(Rᶜ∩Tᶜ)) = 1/8

We need to calculate the probability that it's raining but there is no is heavy traffic and the commuter is late, P(L|(R∩Tᶜ))

= P(L|(Rᶜ ∩T)) = 0.25

b) Probability that cummuter is late

P(L) = P(L|(Rᶜ∩T))P(Rᶜ∩T) + P(L|(R∩Tᶜ))P(R∩Tᶜ) + P(L|(R∩T))P(R∩T) + P(L|(Rᶜ∩Tᶜ))P(Rᶜ∩Tᶜ). Now, P(R)=1/3

P(T|R)=1/2, P(T∩R) = P(T|R)P(R)= 1/3 (1/2)=1/6

P(T|Rᶜ) = 1/4, P(Rᶜ∩T) = P(T|Rᶜ)P(Rᶜ)

= 1/4(2/3) = 1/6

Then P(R∩Tᶜ) = P(R) - P(R∩T) = 1/3 - 1/6

= 1/6

P(Rᶜ∩Tᶜ) = P((RUT)ᶜ) = 1 - P(RUT) = 1 – P(R) – P(T∩Rᶜ) = 1 - 1/3 - 1/6 = 1/2

So, P(L)=P(L|(Rᶜ∩Tᶜ))P(Rᶜ∩Tᶜ) + P(L|(R∩Tᶜ)P(R∩ Tᶜ) + \P(L|(Rᶜ∩T)) P(Rᶜ∩T)+ P(L|(R∩T)P(R∩T) = 0.25(1/6) + 0.25(1/6)+(1/2)1/6 + ( 1/8)(1/2) = 11/48

(c)we need to calculate, P(R|L)

P(L∩R∩T)=P(L|(Rᶜ∩T))P(Rᶜ∩ T)=1/2(1/6) = 1/

P(L∩R∩Tᶜ) = P(L|(R∩Tᶜ))P(R∩Tᶜ) = 0.25 (1/6)= 1/24

P(T) = P(T∩Rᶜ) + P(T∩R) = 1/6 + 1/6 = 1/3

P(R ∩L)=P(R∩ L∩ T)P(T)+P(R∩L∩Tᶜ)P(Tᶜ)

= 1/12(1/3) + 1/24(2/3) = 1/18

Now, P(R/L) = P(RL) /P(L) = 1/18 /11/48

= 8/33

Hence required probability is 8/33.

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Speed of the drive shaft is 1167 is the result after rounding (rpm).

Explanation:

Given:

3,500 rpm for the engine

initial gear of the transmission

They are interested in learning the driving shaft speed in first gear. In the issue, it is stated that in first gear,

Three times as fast as the drive shaft is the engine speed.

Put 3500 in the engine speed to resolve this. Those are

Drive shaft speed = 3500 times.

Speed of the drive shaft is. 1167 is the result after rounding (rpm).

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Speed of the drive shaft is 1167 is the result after rounding (rpm).

Shaft Speed in Meters Per Second (Shaft Diameter in Inches/3.82) X RPM

A gearbox has a low-speed shaft that transmits input power and a high-speed shaft that transmits output power. The gearbox's construction makes it possible to generate regulated electricity at a frequency of 50 or 60 Hz due to the high-speed shaft's suitably fast rotational speed.

Given:

3,500 rpm for the engine

initial gear of the transmission

They are interested in learning the driving shaft speed in first gear. In the issue, it is stated that in first gear,

Three times as fast as the drive shaft is the engine speed.

Put 3500 in the engine speed to resolve this. Those are

Drive shaft speed = 3500 times.

Speed of the drive shaft is. 1167 is the result after rounding (rpm).

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Answer:

BAF and FAD

Step-by-step explanation:

The highest height for the daily rainfall were for 5 and 6 inches

Dot plots are used to present data in the form of points or small circles. It is similar to a simplified histogram or bar graph in that the height of the bar made up of points represents the numerical value of each variable. Dot plots are used to represent small amounts of data.

From the given dot plot, we see the number of times for each height of rainfall.

Thus, we see that the highest number of times of rainfall height was from that of 5 and 6 inches.

Thus, we conclude those were the highest heights for the daily rainfall.

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Given -

A sequence 7, 14, 21,...

To find -

the sixteenth term of the sequence.ie., a60.

Concept -

The number a is the first term, and d is the common difference of the sequence. The nth term of an arithmetic sequence is given by

\(\sf{a_n = a + (n - 1)d}\)

Solution -

A.T.Q,

a = 7

n = 60

d = 14 - 7 = 7

Putting the values,

\(\rightarrow\sf{a_{60} = 7 + (60- 1)7}\)

\(\rightarrow\sf{a_{60} = 7 + 59\times7}\)

\(\rightarrow\sf{a_{60} = 7 + 413}\)

\(\rightarrow\boxed{\green{\bf{a_{60} = 420}}}\)

Answer:

Step-by-step explanation:

In this question we have given a sequence or you can say it arithmetic progression which is 7 , 14 , 21,.. and we have asked to find it's 60th term .

From sequence 7 , 14 , 21.... :

As we know that :

\( \rightarrow \: \blue{ \boxed{a_n = a + (n - 1)d}} \leftarrow\)

Where ,

Now , substituting values :

\( \longmapsto \: a_{60} = 7 + (60 - 1)7\)

Now , calculating :

\( \longmapsto \: a_{60} =7 + (59)7\)

\( \longmapsto \: a_{60} =7 + 413\)

\( \longmapsto \: \pink{ \boxed{ a_{60} =420}}\)

Answer:

No.

Step-by-step explanation:

The properties don't add well.

9514 1404 393

Answer:

  121°

Step-by-step explanation:

The sum of the angles of a triangle is 180°.

  (x)° +(x -5)° +(3x +25)° = 180°

  5x +20 = 180 . . . . . . . . . . . . . . collect terms, divide by °

  5x = 160 . . . . . . . . . . . . subtract 20

  x = 32 . . . . . . . . . divide by 5

Angle G is ...

  ∠G = (3x +25)° = (3·32 +25)°

  ∠G = 121°

Answer:

x = 15

Step-by-step explanation:

30 + 4x = 90   These angles are complementary which means that they add to 90.  Subtract 30 from both sides

30 - 30 + 4x = 90 - 30

4x = 60   Divide both sides by 4

x = 15

Answer: The expression for the absolute value of x+2 when x is less than 2 is -(x+2).

Step-by-step explanation: When x is less than 2, x+2 is a negative number. The absolute value of a negative number is its opposite with the negative sign, so the absolute value of x+2 is -(x+2). Therefore, when x is less than 2, the expression for the absolute value of x+2 is -(x+2).

Answer:

the perimeter in unites of abc with 3, -3 is a

Answer:

18 Units

Step-by-step explanation:

According to the calculator

Answer:

-84+(-11)= -95

-84 + (-11) = -84 - 11 = -95

By the commutative property, adding a negative number is the same as subtracting that number as a positive; therefore, something + (-11) = something - 11. After changing the equation from -84 + (-11) to -84 - 11, we use regular addition properties, adding the tens place and ones place to get -95.

Answer:

a. 48:16

b. 3:1

Step-by-step explanation:

Part a asks for a ratio of the two speeches. You simply separate the two numbers with a colon to show that it's a ratio.

Part b asks that the second quantity (which is the speeches made by B) be 1. To do this, divide 16 on both sides. 48 divided by 16 is 3, and 16 divided by 16 is 1. Thus, 3:1

Answer:

A. Predict a dichotomous variable from continuous or dichotomous variables.

Step-by-step explanation:

Logistic regression is used when you want to predict a dichotomous variable from continuous or dichotomous variables.

Mathematically, it is given by the expression;

Logistic regression \( y \) with \( x_{1} \), \( x_{2} \)........\( x_{n} \)

Where;

y represents the dichotomous dependent variable.

\( x_{1} \), \( x_{2} \)........\( x_{n} \) represents the predictable variables, which are categorical in nature such as alive or dead, win or lose, sick or healthy, pass or fail, etc.

Answer:

The maximum height that the object will reach is of 9 feet.

Step-by-step explanation:

Vertex of a quadratic function:

Suppose we have a quadratic function in the following format:

\(f(x) = ax^{2} + bx + c\)

It's vertex is the point \((x_{v}, f(x_{v})\)

In which

\(x_{v} = -\frac{b}{2a}\)

If a<0, the vertex is a maximum point, that is, the maximum value happens at \(x_{v}\), and it's value is \(f(x_{v})\)

In this question:

\(f(t) = -16t^{2} + 16t + 5\)

So

\(a = -16, b = 16\)

The instant of the maximum height is:

\(t_{v} = -\frac{16}{2*(-16)} = 0.5\)

The maximum height is:

\(f(0.5) = -16*(0.5)^2 + 16*0.5 + 5 = 9\)

The maximum height that the object will reach is of 9 feet.

Answer:

24

Step-by-step explanation:

The number of students that have been to Germany or Spain but not France is given as follows:

18.

The amounts are obtained considering the Venn diagram in the problem.

For the 20 students that went to Spain, we have that:

Hence the value of x is obtained as follows:

x + 3 + 3 + 6 = 20

x + 12 = 20

x = 8.

The number of people who have gone to Spain or Germany but not France is given as follows:

6 + 4 + 10 = 18.

(or means at least one of Spain or Germany).

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The scaled triangle will be larger than the initial size by a factor 2.

The scaled square will be smaller than the initial side by a factor 4.

Dilation refers to a transformation that changes the size of a geometric figure without altering its shape.

Dilation involves scaling an object by a certain factor, that might result in  enlarging or reducing its dimensions uniformly in all directions.

Based on the given diagram, the new length and size of the object is calculated as follows;

For the triangle, (measure the length with ruler)

For the square; (measure the length with ruler)

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The area of a 2D form is the amount of space within its perimeter. The lateral area of the triangular prism is 724.28m², while the total area of the prism is 752.28m². The surface area of the cylinder will be 414 in².

The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.

A.) The area of the lateral faces are:

Latera area of the triangular prism = (38×7)+(38×8.06)+(38×4) = 724.28m²

The total area of the prism is:

The total area of the prism = Lateral Area + Area of the base face

                                              = 724.28m² + 2(0.5×7×4)

                                              = 724.28m² + 28m²

                                              = 752.28m²

Hence, the lateral area of the triangular prism is 724.28m², while the total area of the prism is 752.28m².

B.) The surface area of the cylinder can be written as,

Surface Area = 2πrl + 2πr²

                      = (2×π×9×14) + (2×π×9×9)

                      = 252in² + 162in² = 414in²

Hence, the surface area of the cylinder will be 414 in².

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The required dimension are

length = 48 cm

width = 80 cm

What is Area?

Region bounded in a curve is known as area.

Let the length be x cm.

Width = 3840/x cm

New Length = x - 12 cm

New Width = 3840/x - 20 cm

Printed Area = (x - 12) (3840/x -20)

                     = (x-12) (3840 - 20x) / x

Let us differentiate area with respect to time to get critical value of x :

\(\frac{dA}{dx} =\frac{46080}{x^2} -20\)

Put it equal to 0,

we get x = 48 and -48

x = -48 is not possible.

So, x = 48

Hence,

The required dimension are

length = 48 cm

width = 80 cm

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Answer:

X is 160 degrees

Step-by-step explanation:

Angles on a straight line add up to 180 degrees.

Answer:

X=160° because straight line =180

180°-20

160°

Answer:

The base is: \(3 \sqrt[3]{4}\)

Step-by-step explanation:

Given

\(f(x) = \frac{1}{4}(\sqrt[3]{108})^x\)

Required

The base

Expand 108

\(f(x) = \frac{1}{4}(\sqrt[3]{3^3 * 4})^x\)

Rewrite the exponent as:

\(f(x) = \frac{1}{4}(3^3 * 4)^\frac{1}{3}^x\)

Expand

\(f(x) = \frac{1}{4}(3^3^\frac{1}{3} * 4^\frac{1}{3})^x\)

\(f(x) = \frac{1}{4}(3 * 4^\frac{1}{3})^x\)

Rewrite as:

\(f(x) = \frac{1}{4}(3 \sqrt[3]{4})^x\)

An exponential function has the following form:

\(y=ab^x\)

Where

\(b \to base\)

By comparison:

\(b =3 \sqrt[3]{4}\)

So, the base is: \(3 \sqrt[3]{4}\)

Answer:

B

Step-by-step explanation:

good luck

Answer:

The blue box

Step-by-step explanation:

Youre talking about range which takes place on the y-axis (domain is the x-axis).

The top point is an open circle which indicates in the math world the parentheses and the bottom point 1 in a bracket as its a closed circle.

Question:

A bank in Mexico is bought by another institution of Spanish origin. The new director decides to merge the operation between both institutions where internet services are provided from Spain to Mexico. To achieve this, what should the director propose as a project to unite both operations?

My mom translated this for me and I am writing the reply with Google Translate sorry if it sucks.

Ésta es una pregunta muy específica. Creo que dependería de la preferencia del director y de los fondos.

Answer:

The expression that represents how much more Elena spent is $3.2 + p

Step-by-step explanation:

The expression that represents the perimeter of the given rectangle is 20x + 6 inches.

The perimeter formula for a rectangle is 2l + 2w. We are given that the length is 8x - 1 inches and the width is 2x + 4 inches, so we can substitute those expressions into the formula to get:

Perimeter = 2(8x - 1) + 2(2x + 4)

We distribute the 2 to each term inside the parentheses:

Perimeter = 16x - 2 + 4x + 8

We combine like terms:

Perimeter = (16x + 4x) + (-2 + 8)

Add the like terms together

Perimeter = 20x + 6

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Answer:

7x+12

Step-by-step explanation:

You do 10x-3x since they both have the x variable they can be combined to make 7x and the 12 is left alone.

Answer:

7x + 12

Step-by-step explanation:

irs gonna go like

10x -3x =7x

and the answer is

7x+12

Answer: 30

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Answer:

30 is the correct answer

Answer:

1550mL

Step-by-step explanation:

Change Litre to milliliters :

2L = 2×1000 ml

= 2000 ml

2000ml- 450ml

= 1550 ml