data set below shows the number of alcoholic drinks that students at a certain university reported they had consumed in the past month. Complete through c.
18 14 18 18 14 17 13 12 17 16
The sample variance, s2, is _______Round to two decimal places as needed.)
The sample standard deviation, s, is ______ (Round to two decimal places as needed)

first off let's take a looksie at the picture above, hmmm the vertex is at (-1 , 0) and it has another point at (0 , 1) ok hmmm

\(~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{a~is~negative}{op ens~\cap}\qquad \stackrel{a~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \begin{cases} h=-1\\ k=0\\ \end{cases}\implies y=a(~~x-(-1)~~)^2 + 0\hspace{4em}\textit{we also know that} \begin{cases} x=0\\ y=1 \end{cases}\)

\(1=a(~~0-(-1)~~)^2 + 0\implies 1=a(1)^2\implies 1=a \\\\\\ y=1(~~x-(-1)~~)^2 + 0\implies {\Large \begin{array}{llll} y=(x+1)^2 \end{array}}\)

Answer:

The expression can be written in the form a+bi as;

Explanation:

We want to simplify the given expression to the form;

Given the expression;

solving we have;

Therefore, the expression can be written in the form a+bi as;

where;

a = -5

b = -13

There are 8 players who weigh between 169 and 194 pounds.

To answer this question, we can look at the box plot to understand the distribution of weights on the football team. The box plot shows us the minimum, maximum, median, and quartiles of the team's weights. The left quartile is 169 pounds, and the right quartile is 194 pounds. This means that 25% of the team's players weigh between 169 and 194 pounds. Since the team has 36 players, 25% of 36 is 9. However, since we are looking at the number of players between 169 and 194 pounds, we need to subtract 1 since the right quartile of 194 pounds is included in the number of players. Thus, there are 8 players who weigh between 169 and 194 pounds.

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Answer:

25 and 1/3

Step-by-step explanation:

Answer:

Step-by-step explanation:

Step Statement                                                  ⇒  Reason

1    RSTU is a parallelogram                              ⇒  Given

2   Side RS || Side TU and Side RU || Side TS  ⇒ definition of a parallelogram

3    ∠RSU≅∠TUS and ∠RUS≅∠TSU                 ⇒ alternate interior angles are congruent

4     Side SU ≅ Side US                                      ⇒ reflexive property

5    ΔRSU≅ΔTUS                                                 ⇒ ASA postulate

6    Side RS ≅ Side TU and Side RU ≅ Side TS ⇒ corresponding parts of congruent triangles are congruent

Answer:4.91

Step-by-step explanation: it’s cosine

So multiply 6 x cos (35°)= 4.91

Answer:

9

Step-by-step explanation:

63/7 is 9

Answer:

9

Step-by-step explanation:

Divide 63 and 7

63/7=9

Answer:

116.58

Step-by-step explanation:

(\(\frac{w2x - 3}{10}\)) z  Substitute in what you know

\((\frac{(-6)(2)(1.2) - 3}{10})\) (-67)

\((\frac{-14.4-3}{10})\)(-67)

\((\frac{-17.4}{10})\)(-67)

-1.74(-67)

116.58

Answer:

116,58

Step-by-step explanation:

((-6)·2·1,2-3)÷10·(-67)

(-14,4-3)÷10·(-67)

-17,4÷10·(-67)

-1,74·(-67)

116,58

The length of kite’s shorter diagonal is 39 inches.

A kite is a quadrilateral (has four sides and four angles) in which adjacent sides are congruent and the diagonal bisect at 90 degrees.

Each leg of the upper triangle measures 41 inches and each leg of the lower one measures 50 inches. Hence half the length of the base = 80/2 = 40. The base = diagonal = 80 inches

Using Pythagoras:

41² = d₁² + 40²

d₁ = 9 inches

Also:

50² = d₂² + 40²

d₂ = 30 inches

Length of diagonal = 9 + 30 = 39 inches

The length of kite’s shorter diagonal is 39 inches.

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Answer:

they are correct ^

Step-by-step explanation:

Answer: B is 23.    

Step-by-step explanation: so 23-16=7

The newspaper's assertion is unjustified. It can be shown that the interval does not contain 0.5 based on the 99% confidence interval of (0.322, 0.511). (which is half).

This indicates that the population parameter (mean, percentage, and standard deviation) is between a and b with x% confidence.

This indicates that at least half of students prefer using a computer to take their notes. Since the interval's lower limit (0.322) is higher than 0.5, there is a 99% likelihood that the actual percentage of students who prefer taking notes on computers is higher than 0.5.

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Answer:

1. MO=14 units

2. M=3

3.X=5

Step-by-step explanation:

1. The length is just how many units between each point

2. Find the average of the two points (use absolute value)

(|-4|+10)÷2=(4+10)÷2=14÷2=7, the midpoint is 7 units from each endpoint. so 10-7=3

3. the length of the line ac=10x, the parts are 12 and 8x-2 set up an equation

10x=12+8x-2 combine like terms

2x=10 divide both sides by 2

x=5

Step-by-step explanation:

1. 10-(-4)

10+4=14

3. AB+BC=AC

12+8X-2=10x

10+8x=10x

10= 10x-8x

10=2x

5=x

therefore x=5

i am sorry i do not know number 2

Answer: i think coefficient, equation, then constant?

Step-by-step explanation:

Option (c) 1/3 is the correct answer.Let us first understand the given problem,It is given that the fair 6-sided die is rolled and let X indicates the event that an odd number is rolled and Y indicates the event that 3,4, or 5 is rolled.

P(X=0,Y=1)Solution:When an odd number is not rolled, then an even number is rolled. So, the possible even numbers that can be rolled on a die are 2,4 and 6. Therefore,X = 0, when an even number is rolledY = 1, when 3, 4 or 5 is rolledLet's find P(X=0,Y=1).P(X = 0, Y = 1) = P(rolling 4) = 1/6The sample space for a fair die will be {1,2,3,4,5,6}.

The odd numbers are {1,3,5}. Therefore,P(X = 1) = probability of getting an odd number= 3/6 = 1/2 (3 possible odd numbers out of 6)P(X = 0) = probability of getting an even number= 3/6 = 1/2 (3 possible even numbers out of 6)P(Y = 1) = probability of getting 3, 4, or 5= 3/6 = 1/2 (3 possible numbers out of 6)P(Y = 0) = probability of getting 1, 2, or 6= 3/6 = 1/2 (3 possible numbers out of 6)P(X = 0, Y = 1) = P(rolling 4) = 1/6. Therefore, P(X=0, Y=1) = 1/6Therefore, option (c) is correct.

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Using the assembly line balancing procedure, we find that the balance delay of the workstation is 0, we cannot improve the line by balancing it further.

Task times for the six tasks that make up the job = 4, 6, 7, 2, 6, and 5 minutes Cycle time = 9 minutes The first step in solving assembly line balance problems is to calculate the number of work stations needed to meet product demand while maintaining the desired cycle time

The following are the steps to balance an assembly line using assigned task times: Calculate the task times for each work station. Calculate the theoretical minimum number of workstations needed. Here is the formula: = sum of task times / cycle time. Round to the next highest integer. In this case it will be 6 + 7 + 4 + 6 + 2 + 5 = 30 minutes; 30 minutes/9 minutes = 3.33 or 4.

Therefore, the theoretical minimum number of workstations is 4. Examine the balance late percentage by comparing it to the balance late occurrence, which is the difference between the cycle time and the sum of the task times for one workstation This is the maximum amount of idle time that can be allocated to each workstation. Since the balance delay of the workstation is 0, we can't improve the line by balancing it further.

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Answer:

8

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

beacause there are 4 squares for every 6 circles.

The total revenue from adult ticket sales (10a) must be greater than or equal to $1200.

Let's represent the number of student tickets sold as 's' and the number of adult tickets sold as 'a'.

The revenue from student ticket sales can be calculated as 7.50s, and the revenue from adult ticket sales can be calculated as 10a.

To satisfy the constraint that the drama club must make no less than $1200, we can write the following inequality:

7.50s + 10a ≥ 1200

This inequality states that the total revenue from student ticket sales (7.50s) plus the total revenue from adult ticket sales (10a) must be greater than or equal to $1200.

This inequality ensures that the ticket sales generate enough revenue to cover the show's costs. The drama club needs to sell enough tickets, both student and adult, to meet or exceed the minimum revenue requirement of $1200.

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Answer:

x= -2

Step-by-step explanation:

-2 = 3x + 8/2

-2+2=3x+4+2          (add 2 to both sides)

0=3x+6                          

-6=3x+6-6

3x=-6

x=-6/3

x= -2

Answer:

y=-2/3x+8

Step-by-step explanation:

first, find the y intercept, or b.

write your equation so far: y = -2/3x + b

Now substitute in your given point (6,4)

so now we got: 4 = -2/3(6) + b

which gives you: 4 = -4 + b

Now, we find b.

4 = -4 + b  

+4    +4      < isolating b...

8 = b

now put it back in..

y=-2/3x+b

hope this helped luv <3

The probability of drawing a white ball is 0.4, then drawing a red ball probability is 0.3, and drawing a yellow ball or a red ball probability is 0.6.

Given data:

Number of  red balls = 6

Number of yellow balls = 6

Number of white balls = 8

Number of balls  in a jar = n = 6 + 8 +6 = 20 balls

Where assume that:

R =  event where you draw a red ball.

W =event where you draw a white ball.

Y = event where you draw a yellow ball.

P(R) = 6/20 = 3/10 = 0.3

P(W) = 8/20 = 2/5 = 0.4

P(R) or P(Y) = P(Y) + P(R) - P(Y or R)

= 6/20 + 6/20 - 0

= 12/20

= 3/5 = 0.6

Therefore, The probability of drawing a red ball is 0.3, a white ball is 0.4, and a yellow ball or a red ball is 0.6.

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Of the two products the newsvendor order more quantity for X is more than the quantity ordered for Y.

Cr = 0.8 which is the critical ratio for both the products

The value of Z corresponding to the critical ratio of 0.8 from the standard normal distribution tables is 0.8416

Unless the quantity ordered by the newsvendor is Q, then

Q =  mean value of demand + Z x standard deviation of demand

Below are the specifications of the two products:

The mean requirement for both X and Y is 900O units.

Z value for both X and Y = 0.8416

Let,

Sd₁ Demand Standard Deviation for Product X

Sd₂ = Demand Standard Deviation for Product Y

Assuming that  (Product X does have a higher standard deviation than Product Y),

quantities for X =  mean value of demand + Z x standard deviation of demand

9000 + 0.8416Sd₁

Order amount for Y =  mean value of demand + Z x standard deviation of demand

9000 + 0.8416Sd₂

because

X₁ > X₂

As a result,

9000 + 0.8416Sd₁ > 9000 + 0.8416Sd₂

The quantity ordered for X is > the quantity ordered for Y.

Therefore, The quantity ordered for X is more than the quantity ordered for Y. As a result, Newsvendor orders Product X more frequently because it has a higher level of uncertainty.

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Answer:

x = 96

Step-by-step explanation:

x = 180 - (34 + 50)

x = 180 - 84

x = 96

You are smart, remember that! You just have a little trouble with this problem, that's all!

Hope that helps!

-Sabrina

The sum of expression \(1.723 \times 10^{2}\) and \(7.38 \times 10^{3}\) is \(7.5523 \times 10^{3}\). The numbers in scientific notation are added by summing the coefficients while keeping the exponent unchanged.

In scientific notation, numbers are expressed as a coefficient multiplied by a power of 10. To add numbers in scientific notation, we need to ensure that the powers of 10 are the same.

In this case, both numbers are already in scientific notation with powers of 10. We can directly add the coefficients while keeping the exponent the same.

Adding \(1.723 \times 10^2\) and \(7.38 \times 10^3\) gives us a sum of \(7.5523 \times 10^3\). The coefficient represents the numerical value, and the power of 10 indicates the magnitude.

Thus, the expression \(1.723 \times 10^2 + 7.38 \times 10^3\) evaluates to \(7.5523 \times 10^3\), indicating a significant increase in magnitude compared to the individual numbers.

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Answer:

lower quartile - 38

upper quartile - 59

maximum - 62

median - 46.5

minimum - 32

I hope this help. Have a great day!

Answer:

The slope of the line passing through the points (-3, 7) and (2, 3) is -4/5.

Step-by-step explanation:

To find the slope of the line passing through the points (-3, 7) and (2, 3), we can use the slope formula:

slope = (y2 - y1) / (x2 - x1)

where (x1, y1) = (-3, 7) and (x2, y2) = (2, 3).

So, substituting these values into the formula, we get:

slope = (3 - 7) / (2 - (-3))

slope = -4 / 5

Therefore, the slope of the line passing through the points (-3, 7) and (2, 3) is -4/5.

Answer:

answer is 38 yd

Step-by-step explanation:

area of square =1444 yd^2

z^2=1444 yd^2

z=\(\sqrt{1444\)yd^2

z=38 yd

Hope this helps u!!

Answer:

My answer got deleted because It contained a site, but The answer is

625/16

As a decimal 39.06

Step-by-step explanation:

The volume of the prism is

The volume of the prism is solved by the formula

= area of triangle * depth

Area of the triangle

= 1/2 base * height

base = p = cos 51.34 * √41 = 4

height = q = sin 51.34 * √41 = 5

= 1/2 * 4 * 5

= 10

volume of the prism

= area of triangle * depth

= 10 * 7

= 70 cm³

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Answer:

3.82x10^7

Step-by-step explanation:

Basically, start counting from 3.8 and keeping counting the steps until behind the last number 0. Those steps is the exponent or in this case 7.

Answer:  5742

================================================

Work Shown:

x = number of yes votes

(number who said yes)/(number who said no) = 4/5

x/3190 = 4/5

5x = 3190*4 .... cross multiply

5x = 12760

x = 12760/5 ... divide both sides by 5

x = 2552

There were 2552 people who voted yes

The total number of votes is 2552+3190 = 5742