In a statistics test, the class average is 76 with a standard deviation of 8. emmy is told that the z-score of her exam score is -1.50. what was emmy's actual score on the exam?

Answer:

11 and 12

Step-by-step explanation:

Solving this would be the case of finding that square root of 131, then rounding both up and down.

First, to solve

The square root of 131 is 11.45

Now we take that 11.45 and round both up and down

Rounding down is 11 and rounding up is 12.

11 and 12 are next to each other, making them consecutive.

Answer:

I think its 11 and 12

Step-by-step explanation:

Answer:

5 hours

Step-by-step explanation:

55/5 is 11 (he worked 11 hours total). 11-6 is 5

Answer:

5 hours on Saturday

Step-by-step explanation:

x = hours

5x + 6(5) = 55

5x + 30 = 55

5x = 25

x = 5

In a competitive market, we need to graph the market demand and supply curves and determine the equilibrium quantity. The equilibrium quantity represents the quantity at which the demand and supply curves intersect.

To sketch the supply and demand curves, we first need to gather information on the market demand and supply. The demand curve represents the quantity of ventilators that the four hospitals are willing to purchase at different prices, while the supply curve represents the quantity of ventilators that the four producers are willing to sell at different prices.

Using the multipoint drawing tool, we can plot the market demand curve based on the data provided for the hospitals. Label this line as 'Demand'. Next, using the same tool, we can plot the market supply curve based on the data provided for the producers. Label this line as 'Supply'.

The equilibrium quantity is determined at the point where the demand and supply curves intersect. It represents the quantity of ventilators that will be sold in the market. To find this point, we identify the quantity at which the demand and supply curves meet on the graph.

By following the instructions and accurately plotting the demand and supply curves, we can determine the equilibrium quantity of ventilators sold in the market.

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Step-by-step explanation:

Given

A semi-circle is placed over a rectangle

width of the rectangle is w=1.5 cm

The length of the rectangle is l=9.2 cm

from the figure, we can write

\(\Rightarrow 9.2=2.5+2r\quad (\text{length of rectangle is equal})\)

where r=radius of the semi-circle

\(\Rightarrow 2r=6.7\\\Rightarrow r=3.35\ cm\)

Perimeter of figure

\(\Rightarrow 9.2+1.5+2.5+\pi r+1.5\\\Rightarrow 14.7+10.52=25.22\ cm\)

Area of the figure

\(\Rightarrow A=\text{Area of rectangle+Area of semi-circle}\\\Rightarrow A=1.5\times 9.2+\pi \times 3.35^2\\\Rightarrow A=13.8+35.26=49.06\ cm^2\)

Answer:

it would be something along the lines of. 5+25d =c

Answer:

False.

Step-by-step explanation:

It's ok to plan future activities for the group, but it's best to plan in the beginning of the group.

As per the concept of correlation score would be predicted for y is 0.

Correlation in math is defined as the statistical association between two variables.

Here we need to find the score would be predicted for y, if the correlation between x and y is 0 and we observe a score (in z units) of 1.5 on x

While we looking into the given question we have identified that, here the correlation between x and y is 0.

And the score of x is given as 1.5

So, the score of the y is calculated as,

=>  y  score = correlation * ( x score)

Now, we have to apply the values on the given formula, then we get,

=> y score = 0 x (1.5)

Therefore, the resulting y score is 0.

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Answer:

14.8333

=15

Step-by-step explanation:

Add all the numbers then divide by how many numbers you got.

Answer:

2/3 < y < 6

Step-by-step explanation:

So what we want to do is get the equation to become just y surrounded by the gereater than signs. So we have 3y-4 and we first add 4 to all numbers. We now 2 < 3y < 18. WE can divide everything by 3 to get 2/3 < y < 6.

Answer:

x=±2√3−2

step-by-step explanation:

Nothing further can be done with this topic. Please check the expression entered or try another topic.

x ⋅ 2 + 4 x + 8

The expression of the integral that quantifies the increase in volume of a sphere as its radius r quadruples from r to 4·r is therefore;

∫dV/dr, r, r, 4·r = 84·π·r³

An integral is a function which when differentiated, yields a specified function.

The volume of the sphere with radius r is V = (4/3) × π × r³

The increase in volume with a change in radius from r to 4·r is the difference between the volume at r and the volume with a radius of 4·r, as follows;

ΔV = ∫dV/dr, r, r, 4·r = \(V_{final}\) - \(V_{initial}\)

Therefore;

ΔV = ∫dV/dr, r, r, 4·r = ∫4·π·r², r, r, 4·r =  (4/3) × π × (4·r)³ - (4/3) × π × r³ = 84·π·r³

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Answer:

$10

Step-by-step explanation:

We Know

Terri pays a monthly cell phone fee of $10. She pays 5 cents for each minute that she talks.

Let C be the total cost, and x be the number of minutes she talks; we have the equation.

C = 0.05x + 10

If Terri does not make any calls, what would her bill be?

C = 0.05(0) + 10

C = $10

So, her bill will be $10

The inventory management model that should be used to solve this problem is the Model Economic Quantity to Order (EOQ) model. The optimal number of notebooks to make in each order is 590 units. The annual ordering cost (AOC) is approximately $892.20. The Annual Holding Cost (AHC) is $3540. The annual product cost (APC) is $233,460. The annual total cost of managing inventory (ATC) is approximately $237,892.20. The total number of orders in the year (N) is 33. The estimated time between each order (T) is approximately 7.58 days. The daily demand is approximately 77.82 units. The reorder point (ROP) is approximately 311 units.

The inventory management model that should be used to solve this problem is the Model Economic Quantity to Order (EOQ) model.

To find the optimal number of notebooks to make in each order, we can use the EOQ formula:

EOQ = √[(2 * Demand * Ordering Cost) / Holding Cost]

EOQ = √[(2 * 19455 * 27) / 6]

EOQ ≈ 589.96

Since the number of notebooks must be a whole number, the optimal number to order would be 590 notebooks.

The annual ordering cost (AOC) can be calculated by dividing the annual demand by the EOQ and multiplying it by the ordering cost:

AOC = (Demand / EOQ) * Ordering Cost

AOC = (19455 / 590) * 27

AOC ≈ $892.20

The Annual Holding Cost (AHC) is calculated by multiplying the EOQ by the holding cost per unit:

AHC = EOQ * Holding Cost

AHC = 590 * 6

AHC = $3540

The annual product cost (APC) is calculated by multiplying the annual demand by the cost per unit:

APC = Demand * Cost per unit

APC = 19455 * 12

APC = $233,460

The annual total cost of managing inventory (ATC) is the sum of the annual ordering cost, annual holding cost, and annual product cost:

ATC = AOC + AHC + APC

ATC = 892.20 + 3540 + 233460

ATC ≈ $237,892.20

The total number of orders in the year (N) can be calculated by dividing the annual demand by the EOQ:

N = Demand / EOQ

N = 19455 / 590

N ≈ 33

The estimated time between each order (T) can be calculated by dividing the number of working days in a year by the total number of orders:

T = Number of working days / N

T = 250 / 33

T ≈ 7.58 days

The daily demand is calculated by dividing the annual demand by the number of working days in a year:

Daily Demand = Demand / Number of working days

Daily Demand = 19455 / 250

Daily Demand ≈ 77.82 units/day

The reorder point (ROP) is the number of units at which a new order should be placed. It can be calculated by multiplying the daily demand by the lead time (time taken for the supplier to deliver the order):

ROP = Daily Demand * Lead Time

ROP = 77.82 * 4

ROP ≈ 311.28 units

Therefore, the reorder point would be approximately 311 units.

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Answer:

1st Question:  The answer is the bottom left

2nd Question: The answer is the bottom right

3rd Question: The answer is the top left

4th Question: The answer is the top right.

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

male total= 98

female total =102

total total=200

The age of larry is 33 years.

What is a fraction ?

A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator. In a proper fraction, the numerator is less than the denominator.

Given: Larry is one-third as old as Jan.

Let Larry's age be L

Then Jane's is: 3L

We the get: L + 3L = 132 [Since , the sum of their ages is 132.]

4L = 132

L = 132 / 4 = 33

Hence , the age of larry is 33 years.

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Answer:

A

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

A is the variable.

Among the given differential equations (DEs), let's analyze their linearity to choose one that satisfies the criteria.

A linear differential equation is one that can be expressed in the form:

a(x)y' + b(x)y = c(x)

Let's examine the DEs:

(1) √√x²-1y" = 2xy:

This DE is not linear because the presence of the square roots and second derivative on the left side makes it non-linear.

(2) (1+xe)y' = 1+ ye:

This DE is not linear because the term (1+xe) on the left side multiplies the derivative, which violates the linearity condition.

(3) y'=x-=-:

This DE is linear since it can be rearranged to the form y' - x = -1, where the coefficients of y' and y are constant.

(4) yy' = -1/2:

This DE is not linear because it involves the product of y and y' on the left side.

(5) y'ycos(x) = 0:

This DE is linear since it can be written as y'cos(x)y = 0, where the coefficients of y' and y are constant.

Based on the analysis, DE (3) y'=x-=- is linear because it satisfies the condition of being expressed in the form a(x)y' + b(x)y = c(x).

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The rounded whole numbers are 25 and 4. The estimated quotient is approximately 6.25.

To round the mixed numbers to the nearest whole number, we look at the fractional part and determine whether it is closer to 0 or 1.

For the first mixed number, \(24\frac{16}{17}\), the fractional part is 16/17, which is greater than 1/2.

Therefore, rounding to the nearest whole number, we get 25.

For the second mixed number, \(4\frac{8}{9}\), the fractional part is 8/9, which is less than 1/2.

Therefore, rounding to the nearest whole number, we get 4.

Now, we can estimate the quotient:

25 ÷ 4 = 6.25

So, the estimated quotient of \(24\frac{16}{17}\) ÷  \(4\frac{8}{9}\) is approximately 6.25.

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Any piece of luggage must have a length, width, and height combined that is less than or equal to 150 cm. A traveler requests to take a package with the maximum permitted volume. if the length and width are to be equal, then the dimensions would be 48*96*72

Any piece of luggage must have a length, breadth, and height combined that is 216 cm or less.

L+W+H=216 (because we want the max volume, we may ignore the "less than part" and set them equal) (since we want the max volume, we can ignore the "less than part" and set them equal)

L = W if the length and width are equal.

Let's construct this new equation by swapping L for W.

Arrange H to the left so that H=216-2W when 2W+H = 216

Consequently, what is volume V=L*W*H=W=W2*(216-2W) =216W2-2W3 div./dW=432W-6W?

2\s432W-6W^2=0

72w-w2=0 divided by 6 on both sides.

W = 72 L H = 72 cm

L=2W is the only item that has altered.

Given that L+W+H=216 and that V=L*W*H=2W*W*(216-3W) =432W2-6W, 3W+H=216

864W-18W2 x 3 V prime

Set V prime to 0, solve it by dividing both sides by 18, and you'll get W = 48. dimensions will be

48, 96, and 72 cm in width ,lenght and height

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Multiply the fractional part of the decimal number by 2 and keep track of the integral parts:

0.8542 * 2 = 1.7084 (integer part: 1)

0.7084 * 2 = 1.4168 (integer part: 1)

0.4168 * 2 = 0.8336 (integer

To convert 326.5 from Octal to Binary:

The octal number 326.5 can be converted to decimal first.

3 * 8^2 + 2 * 8^1 + 6 * 8^0 + 5 * 8^(-1)

3 * 64 + 2 * 8 + 6 * 1 + 5 * (1/8)

192 + 16 + 6 + 0.625

214.625 (in decimal)

Now, let's convert 214.625 from decimal to binary:

The integer part, 214, can be converted to binary by successive division by 2:

214 / 2 = 107 (remainder 0)

107 / 2 = 53 (remainder 1)

53 / 2 = 26 (remainder 1)

26 / 2 = 13 (remainder 0)

13 / 2 = 6 (remainder 1)

6 / 2 = 3 (remainder 0)

3 / 2 = 1 (remainder 1)

1 / 2 = 0 (remainder 1)

Reading the remainders from bottom to top gives us the binary representation of the integer part: 11010110.

The fractional part, 0.625, can be converted to binary by successive multiplication by 2:

0.625 * 2 = 1.25 (integer part: 1)

0.25 * 2 = 0.5 (integer part: 0)

0.5 * 2 = 1.0 (integer part: 1)

Reading the integer parts from top to bottom gives us the binary representation of the fractional part: 101.

Combining the binary representation of the integer and fractional parts, we get:

326.5 (in octal) = 11010110.101 (in binary)

To convert 3A15 from Hexadecimal to Octal:

First, convert the hexadecimal number to decimal:

3A15 = 3 * 16^3 + 10 * 16^2 + 1 * 16^1 + 5 * 16^0

= 3 * 4096 + 10 * 256 + 1 * 16 + 5 * 1

= 12288 + 2560 + 16 + 5

= 15029 (in decimal)

Convert the decimal number 15029 to octal:

Divide 15029 by 8 successively:

15029 / 8 = 1878 (remainder 5)

1878 / 8 = 234 (remainder 6)

234 / 8 = 29 (remainder 2)

29 / 8 = 3 (remainder 5)

3 / 8 = 0 (remainder 3)

Reading the remainders from bottom to top gives us the octal representation:

3A15 (in hexadecimal) = 35625 (in octal)

To convert (0.8542)10 from base 10 to binary:

Multiply the fractional part of the decimal number by 2 and keep track of the integral parts:

0.8542 * 2 = 1.7084 (integer part: 1)

0.7084 * 2 = 1.4168 (integer part: 1)

0.4168 * 2 = 0.8336 (integer)

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Answer:

164.92

Step-by-step explanation:

First, you have to get the tax, which would be 199 x 0.08. this gives you 15.92. Keep that in your head. Now you do 199-50 to get 149. Add this and the tax together to get 164.92

Answer:

$164.92

Step-by-step explanation:

Phone price: $199

Sales tax: 8%

Amount of sales tax: 8% of $199 = 0.08 × $199 = $15.92

Price including tax: $199 + $15.92 = $214.92

Rebate: $50.00

Final cost including tax and rebate: $214.92 - $50.00 = $164.92

Answer: $164.92

Answer:

124

Step-by-step explanation:

wood

After considering the given data we conclude that the answer for the given sub question regarding combination are
a) the number of different groups of 10 employees that can be selected is 14,307,292
b) the number of possible groups of 10 employees that consist only of employees who either take public transit or drive to work is 77
c) employees who take public transit is 66
d) employees who drive to work is 11
e) employees that do not include anyone who takes public transit is 184,756
f) employees that do not include anyone who drives to work is 352,716
g) employees that consist of at least one person who drives to work is 14,054,576
h) employees that consist of at least one person who drives to work is 14,054,576
i) employees that consist of 5 people who take public transit and 5 people who drive to work is 365,904
j) employees that consist of 4 people who take public transit, 3 people who drive to work, and 3 people who do neither is 6,270,840

a) This is a combination problem, where the order of selection does not matter. The formula for the number of combinations of n objects taken r at a time is \(nCr = n! / (r! * (n-r)!)\), where n is the total number of objects and r is the number of objects being selected. In this case, there are 32 employees and we want to select 10 of them, so the number of different groups of 10 employees that can be selected is:
\(32C10 = 32! / (10! * (32-10)!) = 14,307,292\)

b) We can add the number of groups that consist only of employees who take public transit to the number of groups that consist only of employees who drive to work. To find the number of groups that consist only of employees who take public transit, we can choose 10 employees from the 12 who take public transit. Similarly, to find the number of groups that consist only of employees who drive to work, we can choose 10 employees from the 11 who drive to work. Therefore, the number of possible groups of 10 employees that consist only of employees who either take public transit or drive to work is:
\(12C10 + 11C10 = 66 + 11 = 77\)

c) We can choose 10 employees from the 12 who take public transit, so the number of possible groups of 10 employees that consist entirely of employees who take public transit is:
\(12C10 = 66\)

d) We can choose 10 employees from the 11 who drive to work, so the number of possible groups of 10 employees that consist entirely of employees who drive to work is:
\(11C10 = 11\)

e) We can choose 10 employees from the 20 who either drive to work or do neither, so the number of possible groups of 10 employees that do not include anyone who takes public transit is:
\((20C10) = 184,756\)
f) We can choose 10 employees from the 21 who either take public transit or do neither, so the number of possible groups of 10 employees that do not include anyone who drives to work is:
\((21C10) = 352,716\)

g) We can subtract the number of possible groups of 10 employees that do not include anyone who takes public transit from the total number of possible groups of 10 employees. Therefore, the number of possible groups of 10 employees that consist of at least one person who takes public transit is:
\(32C10 - 20C10 = 14,122,536\)

h) We can subtract the number of possible groups of 10 employees that do not include anyone who drives to work from the total number of possible groups of 10 employees. Therefore, the number of possible groups of 10 employees that consist of at least one person who drives to work is:
\(32C10 - 21C10 = 14,054,576\)

i) We can choose 5 employees from the 12 who take public transit and 5 employees from the 11 who drive to work. Therefore, the number of possible groups of 10 employees that consist of 5 people who take public transit and 5 people who drive to work is:
\(12C5 * 11C5 = 792 * 462 = 365,904\)

j) We can choose 4 employees from the 12 who take public transit, 3 employees from the 11 who drive to work, and 3 employees from the 9 who do neither. Therefore, the number of possible groups of 10 employees that consist of 4 people who take public transit, 3 people who drive to work, and 3 people who do neither is:
\(12C4 * 11C3 * 9C3 = 495 * 165 * 84 = 6,270,840\)
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To find the p-value for the test examining the positive linear relationship between speed and jump height, you need to calculate the Pearson correlation coefficient, determine the degrees of freedom, and then find the corresponding p-value.

To determine the p-value for this test, we would need to conduct a hypothesis test using a linear regression model. The null hypothesis would be that there is no linear relationship between speed and jump height, while the alternative hypothesis would be that there is a positive linear relationship between the two variables.

After running the regression model and performing the hypothesis test, we would look for the p-value associated with the slope coefficient for speed. If this p-value is less than the chosen significance level (usually 0.05), we can conclude that there is convincing evidence of a positive linear relationship between speed and jump height for students like these.

Without actually running the regression model and hypothesis test, it is not possible to provide an exact p-value for this scenario.

To determine if there is convincing evidence of a positive linear relationship between speed (mph) and jump height (in) for students like these, you need to conduct a correlation test, specifically a Pearson correlation test. The p-value will help you determine the significance of the relationship.

Step-by-step explanation:

1. Gather the data: Obtain the values for speed (mph) and jump height (in) for each student.

2. Calculate the Pearson correlation coefficient (r): This value will help you measure the strength and direction of the linear relationship between the two variables. You can use statistical software or a calculator for this.

3. Determine the degrees of freedom (df): Calculate this by subtracting 2 from the total number of data points (n). Formula: df = n - 2.

4. Calculate the p-value: Using the Pearson correlation coefficient (r) and the degrees of freedom (df), you can find the p-value in a t-distribution table or by using statistical software.

5. Interpret the p-value: If the p-value is less than your chosen significance level (commonly 0.05), there is convincing evidence of a positive linear relationship between speed and jump height. If the p-value is greater than 0.05, there is not enough evidence to suggest a significant positive linear relationship.

In summary, to find the p-value for the test examining the positive linear relationship between speed and jump height, you need to calculate the Pearson correlation coefficient, determine the degrees of freedom, and then find the corresponding p-value. Comparing this p-value to your chosen significance level will help you conclude if there is convincing evidence of a positive linear relationship between the two variables.

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The start time was 12:40, and the current time is 8:40.

Each hour the time difference  between the two clocks increases by 3 minutes. For two hours to be exactly 1 hour apart, 60/3 or 20 hours must elapse (a difference of 3 minutes  per hour).

Let the correct time is x,

than after y hours the time in faster clock will be,

y hrs + y min

and the slower

y hrs-2y min

x+y min=9 hr

x-2y=8HR

3ymin=1hr

y=20min

x=8.40hr

so time is

8.4 o'clock.  

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