help with this please

Help With This Please

Answers

Answer 1

Answer:

a = 7. b = 24, c = 25. This is a Pythagorean triple

Step-by-step explanation:


Related Questions

Can anyone solve these please, cos I'm nucklehead and my brain won't work


×-10=13

t+20=44

y
_ =7
5​

Answers

Answer:

Hello There!!

Step-by-step explanation:

1.×-10=13. 13+10=23

2.t+20=44. 44-20=24

3.y/5=7. 5×7=35

You do the inverse operations to find the unknown number.For example if it is minus you do plus. e.g x-7=19 . 19+7=26

hope this helps,have a great

what is the distance between -2 1/2, -5 3/4

Answers

Answer:

Step-by-step explanation:

it's kinda confusing b/c of the minus signs.. huh...  but -5 is less than -2 sooo

start with

-2 1/2  - (-5 3/4 )

=5 3/4 - 2 1/2

=5 3/4 - 2 2/4

=23/4 - 10/4

=13/4

there you go...  :)

if you want it back in proper fractions

3 1/4

Puzzle One
Determine the correct vocabulary word(s) in the questions below. To break the code of puzzle
one you will need to determine the third letter of the word in EACH space and then put those
letters in alphabetical order to break the code. For example, if the first blank was MODE the
letter you would use to help you break out would be D.
*Hint: Use the word bank to help you, some words may be used more than once and some may
not be used at all.
1) The
tells you how the data is spread out
of the data.
for
2) The might be a better representation of the data if there are
outliers that skew the data.
3) To find the
of
you add the numbers and
by the quantity
distance between
4) The Mean Absolute Deviation (MAD) is the
each
point and the
MODE
MEDIAN
MEAN
RANGE
NUMBERS
QUARTILE
Word Bank:
MULTIPLY
AVERAGE
DIVIDE
SUBTRACT
INNER
DATA
FIFTY
TWENTY
PERCENT
Code:
Math in the Mid 2019
MI

Answers

Answer:

Ошйжй Щ отдйдй шубу Ц дцдць о о

Step-by-step explanation:


Find the exact value of tan A in simplest radical form

Answers

Answer:

12.68 de

Step-by-step explanation:

HELP

Is x+7 a factor of p(x)

Answers

Answer:

No

Step-by-step explanation:

Because the remainder is not zero

consider the function f(x)=x−2x 1. (a) find the domain of f(x).

Answers

The domain of the function f(x) = x² - 2x + 1 is all real numbers, which is denoted as (-∞, +∞).

To find the domain of the function f(x) = x² - 2x + 1, we determine the set of all possible values for x that make the function well-defined.

The given function is a polynomial-function, and polynomial functions are defined for all real numbers. So, the domain of f(x) = x² - 2x + 1 is the set of all real numbers, which can be represented as (-∞, +∞).

It means that any real-number can be substituted into the function, and it will give a valid output. There are no limitations on the possible values of x in this case.

Therefore, the domain is all real numbers.

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The given question is incomplete, the complete question is

Find the domain of the function f(x) = x² - 2x + 1.

Find m QRS? who can help me?​

Answers

Answer:

m<PRS+m<PRQ=m<QRS.

17 + 17 = 34

m<QRS=34

. A rectangle has its base on the x-axis and its upper two vertices on the semi-circle y = V1 - 32. What is the largest area the rectangle can have? 1 6 1

Answers

The largest area the rectangle can have is -1024 square units.

To solve the given problem, follow the steps given below:

Step 1: Sketch the given graph on a coordinate plane as shown below:

Step 2: Let's assume that the base of the rectangle is x units and its height is y units.

Step 3: As the base of the rectangle is on x-axis, we have the length of the base as the x-coordinate of the upper two vertices of the rectangle.

Now, the x-coordinate of the upper two vertices of the rectangle lie on the given semicircle whose equation is y = V1 - 32.

So, we can write:

y = V1 - 32x^2 = (y + 32)^2 ⇒ x^2 = y^2 + 64y + 1024

Step 4: Now, we can write the area of the rectangle as: A = base × height= x × y

Using the value of x from equation (1), we get: A = (y^2 + 64y + 1024)1/2 y

So, we have an equation for area in terms of y. Let's differentiate it with respect to y to find the maximum value of A. dA/dy = (y^2 + 64y + 1024)-1/2 (2y + 64)

By equating dA/dy = 0, we get: 2y + 64 = 0y = -32

Substituting the value of y in equation (2), we get:x^2 = 1024 ⇒ x = ±32

The given rectangle lies in the first quadrant.

Hence, the length of the base of the rectangle is x = 32 units.

So, we have the dimensions of the rectangle as length = 32 units and breadth = height = y = -32 units.

However, as the length and breadth of the rectangle cannot be negative, we cannot consider the negative value of y.

Therefore, the maximum area of the rectangle is: A = base × height= 32 × (-32)= -1024 sq. units

Hence, the largest area the rectangle can have is -1024 square units.

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A local store owner is interested in finding the mean age of her customers. She randomly surveys 82 customers and records their age. Identify the population, sample, variable, type of variable, parameter, and statistic.

Answers

Population: The set of all possible customers in the store.

Sample: The 82 customers randomly surveyed.

Variable: Age of the customers Type of variable: Quantitative parameter

Parameter: The mean age of all the customers in the store.

Statistic: The sample mean age of the 82 customers surveyed.

Analysis: The mean age of all customers is a parameter since the store owner is interested in knowing the mean age of all the customers that come to her store.

The store owner will be interested in collecting data on all the customers who come to her store. Since this will be difficult, she will sample some customers instead. The store owner randomly surveyed 82 customers, which is the sample size. The variable of interest is the age of the customers. This is a quantitative variable since it is measured using numerical values. The sample mean age of the 82 customers surveyed is a statistic.

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The labor charges for mechanics is $54 an hour. The
standard deviation is $4 an hour. Find the minimum percentage of
data values that lie within the range of $48 to $60 an hour for the
mechanic's labo

Answers

The minimum percentage of data values that lie within the range of $48 to $60 an hour for the mechanic's labor is 86.64%.

To find the minimum percentage of data values that lie within the range of $48 to $60 an hour for the mechanic's labor.

We need to calculate the z-scores for both values and use a z-table to find area under the normal curve between those two scores.

First, we calculate the z-score for $48 an hour:

z = (48 - 54) / 4 = -1.5

Next, we calculate the z-score for $60 an hour:

z = (60 - 54) / 4 = 1.5

Using a standard normal distribution table, we can find that the area under the curve between -1.5 and 1.5 is approximately 0.8664 or 86.64%.

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Someone please help me I’ll give out brainliest please dont answer if you don’t know

Answers

Answer:

-9p+3

plz mark me as brainliest

give the slope of the line with equation 17x = -34; then graph the line

Answers

Answer:

Slope: Undefined

Step-by-step explanation:

CAN SOMEONE HELP ME PLEASE

Answers

It seems like it is a 1:3 ratio.
y = 12
3(2x + 1) = 4x + 9
6x + 3 = 4x + 9
6x = 4x + 6
2x = 6
x = 3
Since they are similar the proportions of the figure would be equal
3/9 = 2x + 1/ 4x + 9
4x + 9 = 3(2x + 1)
4x + 9 = 6x + 3
2x = 6, x = 3
3/9 = 4/y
y = 12
Solution: x = 3, y = 12

A cylinder has been cut out of a solid. Find the volume of the remaining solid. Round answer to the nearest tenth.

Answers

Answer:

98.19

Step-by-step explanation:

Volume of whole cube minus volume of cylinder. volume of cylinder is pi x r^2 x h

The volume of remaining solid is 46.44 in³

What is Volume?

Volume is the measure of the capacity that an object holds.

For example, if a cup can hold 100 ml of water up to the brim, its volume is said to be 100 ml. Volume can also be defined as the amount of space occupied by a 3-dimensional object. The volume of a solid like a cube or a cuboid is measured by counting the number of unit cubes it contains. The best way to visualize volume is to think of it in terms of the space.

How To Calculate the Volume?

Here are the steps to calculate volume of any solid shape:

Identify all the given parameters that are useful and are required to substitute in the respective volume formula. Such as the radius to be 'r' and height to be 'h', the slant height, diameter, etc.Make sure all the parameters are of the same units.Substitute the values in the volume formula of the respective shapes.Write the units as cubic units.

edge= 6

Volume of cube= l³

= 6*6*6

=216 in³

Now, Volume of cylinder

=πr²h

= 3.14 * 3 * 3 * 6

=169.56 in³

Volume of remaining solid= 216- 169.56

=46.44 in³

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HELP PLEASE

Marcus works at the grocery store. He earns 8.75 per hour. Last week he worked 6.5 hours. How much did Marcus make last week?

Answers

20 dollars bev b h h b g v v v v.

The checkbook balance of Hercher Company is $1,955.81. The bank statement shows a balance of $3,142.11. The statement shows interest earned of $31.55 and a service charge of $22.80. There is a deposit in transit of $3,991.88. In further analyzing the statement it was discovered that the bank collected a note for $3,100.000. Hercher Co. forgot to deduct a check for $850 during the month. There is a check outstanding for $2,919.43. What is the reconciled balance?

Answers

Answer:

Reconciled balance $3,142.11

Step-by-step explanation:

The computation of the reconciled balance is shown below:

Debit balance as per check book $1,955.81

Add: interest earned $31.55

Collection of note $3,100

Outstanding checks $2,919.43

Less: service charges -$22.80

Less: deposit in transit -$3,991.88

Less: forgot a check -$850

Reconciled balance $3,142.11

The same would be relevant and considered too

Suppose that y varies directly with x and y = 3 when x = 9. What is y when x = 18?

Answers

Answer:

y = 6

Step-by-step explanation:

Use the direct variation equation, y = kx

Plug in y = 3 and x = 9, and solve for k

y = kx

3 = k(9)

1/3 = k

So, the equation is y = 1/3x

Plug in 18 as x and solve for y

y = 1/3x

y = 1/3(18)

y = 6

So, when x = 18, y = 6

the difference between a low-cost provider strategy and a focused low-cost strategy is

Answers

The difference between a low-cost provider strategy and a focused low-cost strategy lies in their scope and target market. A low-cost provider strategy aims to achieve a cost advantage over competitors while targeting a broad market segment.

A low-cost provider strategy involves offering products or services at a lower cost compared to competitors while targeting a broad customer base. The focus is on achieving economies of scale, operational efficiencies, and cost reduction across the value chain to deliver products or services at competitive prices. This strategy aims to attract a large customer base through cost advantages and can be employed in various industries.

In contrast, a focused low-cost strategy narrows down the target market to a specific segment or niche. Instead of targeting a broad market, the company focuses on serving a particular group of customers with specialized needs or preferences. By understanding the unique requirements of this specific segment, the company can tailor its offerings and operations to provide lower costs, thereby gaining a competitive edge within that niche market. This strategy allows for a more concentrated effort and customization to cater to the specific demands of the chosen market segment.

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Using the standard Normal distribution tables, what is the area under the standard Normal curve corresponding to Z<0.75? a.0.7223 b.0.7734 Oc 0.9127 d.0.6915 QUESTION 26 Given the least squares regression line y-3 x-3, which of the following is true? a. The relationship between x and y is positive. b. The relationship between x and y is negative. c. As x decreases, y increases. d. None of the answer options is correct.

Answers

The least squares regression line y-3 x-3 is (a) "The relationship between x and y is positive."

To get the area under the standard Normal curve corresponding to Z < 0.75, we can use the standard Normal distribution tables. The tables provide the cumulative probability up to a given Z-score.

Looking up the value of 0.75 in the standard Normal distribution table, we find that the corresponding area is approximately 0.7734.

Therefore, the answer is (b) 0.7734.

Regarding the least squares regression line y = 3x - 3, we can make the following observations:

a. The relationship between x and y is positive: This is true because the coefficient of x (3) is positive, indicating a positive relationship between x and y.

b. The relationship between x and y is negative: This is false because the coefficient of x (3) is positive, indicating a positive relationship between x and y.

c. As x decreases, y increases: This is false because as x decreases, y will also decrease based on the equation y = 3x - 3.

d. None of the answer options is correct: This is false because option (a) "The relationship between x and y is positive" is correct.

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At the football game they sold $4 pizzas and $2 sodas which made the school$260 the number of Sodas sold was five more than three times a number of pizzas sold determine the amount of pizza and sodad sold

Answers

[tex]\Huge \textsf{Answer:\fbox{25 pizzas and 80 sodas sold.}}}[/tex]

[tex]\Huge \textsf{Step-by-step explanation}[/tex]

[tex]\LARGE \bold{\textsf{Step 1: Assign Variables}}[/tex]

[tex]\textsf{Let's assign a variable for the number of pizzas sold, we will call it \textit{"p."}}\\\textsf{And we will assign the variable\textit{"s"} for the number of sodas sold.}[/tex]

[tex]\LARGE \bold{\textsf{Step 2: Write equations based on the given information}}[/tex]

[tex]\large \bold{ \textsf{From the problem, we know that:}}[/tex]

[tex]\bullet \textsf{The school made \$260 from seeling 4 pizzas and 2 sodas.}\\\\\bullet \textsf{The number of sodas sold was five more than three times the number of pizzas sold.}[/tex]

[tex]\large \bold{ \textsf{We can use this information to write two equations:}}[/tex]

[tex]\text{Equation 1} : 4p + 2s = 260 \text{(since each pizza costs \$4 and each soda costs \$2)}[/tex]

[tex]\text{Equation 2} : s = 3p + 5 \text{(The number of sodas sold was 3 times the number of}\\\text{pizzas sold plus 5)}[/tex]

[tex]\LARGE \bold{\textsf{Step 3: Solve the system of equations}}[/tex]

[tex]\large \textsf{To solve the system of equations, we can substitute Equation 2 into Equation}\\\textsf{1 for \textit{"p"}:}[/tex]

[tex]\bullet \textsf{4\textit{p} + 2\textit{s} = 260}\\\\\bullet \textsf{4\textit{p} + 2(3\textit{p} + 5) = 260}[/tex]

[tex]\large \textsf{Simplifying this expression gives us:}[/tex]

[tex]\textsf{10\textit{p} + 10 = 260}[/tex]

[tex]\large \textsf{Subtracting 10 from both sides:}[/tex]

[tex]\textsf{10\textit{p} = 250}[/tex]

[tex]\large \textsf{Dividing both sides by 10}[/tex]

[tex]\textsf{\textit{p} = 25}[/tex]

[tex]\large \textsf{Now that we know the number of pizzas sold, we can use Equation 2 to find}\\\textsf{the number of sodas sold:}[/tex]

[tex]\bullet \textsf{\textit{s} = 3\textit{p} + 5}\\\\\bullet \textsf{\textit{s} = 3(25) + 5}\\\\\bullet \textsf{\textit{s} = 75 + 5}\\\\\bullet \textsf{\textit{s} = 80}[/tex]

[tex]\large \textsf{So, 25 pizzas and 80 sodas were sold.}[/tex]

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what is the volume of the prism 8 1/2 m 7 m 4 m

Answers

Answer:

Step-by-step explanation:

The formula for the volume of a prism is V=Bh , where B is the base area and h is the height. The base of the prism is a rectangle. The length of the rectangle is 9 cm and the width is 7 cm.

Answer:

Step-by-step explanation:

Volume of prism = length * width * height  

                            = 8 1/2 *  7 * 4

                            [tex]= \frac{17}{2}*7*4\\\\=17 * 7 * 2\\\\= 238 cubic m[/tex]

I just need this and that it

Answers

The answer is J hdjdghsksjdbgeshsh

Jess is having a private party at the bowling alley. The party costs $99 plus %3 per person who attends.

Answers

Answer:

Total cost= 99 + 2.97x

Step-by-step explanation:

Giving the following information:

Fixed cost= $99

Variable cost= 3% per person

First, we need to calculate the 3% of 99:

Unitary variable cost= 99*0.03= $2.97

Now, we establish the total cost structure:

Total cost= 99 + 2.97x

x= number of people in attendance

Finally, suppose 200 people attend the party:

Total cost= 99 + 2.97*200

Total cost= $693


What is the area of the triangle in square yards?
6 yd.
15 3/4 yd.

Answers

Answer:

6x15 2/4 yd dividedby 2

Step-by-step explanation:

do the math and u get ur answer

Find the length of the side labeled x. Round intermediate values to the nearest 10th. Use the rounded values to calculate the next value. Round your final answer to the nearest 10th

Answers

Answer:

16.0(?)

Step-by-step explanation:

I’m not really sure if it’s correct. But I’m assume it’s correct.

The first pentagon is dilated to form the second pentagon.

Drag and drop the answer to correctly complete the statement.

Will Mark Brainlist =)

Answers

Answer:

2

Step-by-step explanation:

Answer:

2 is answer i promise

Step-by-step explanation:

In a particular region, 6% of the population is thought to have a certain disease. A standard diagnostic test has been found to correctly identify 91% of the people who have the disease. However, the test also incorrectly diagnoses 8% of those who do not have the disease as having the disease (in other words, the person does not have the disease but the test tells them that they do). A randomly selected person in the region is tested for the disease. (a) What is the probability the test comes back positive

Answers

Answer:

The positive predictive value ≈ 30.012%

Step-by-step explanation:

(a) The given percentage of the people in the region that have the disease, P(D) = 6% = 0.06

The percentage people correctly identified as having the disease by the standard diagnostic test = 91%

The percentage of people incorrectly identified as having the disease by the standard diagnostic test, P(T + |H) = 8%

Therefore, the sensitivity of the test, P(T + |D) = 0.91

The specificity of the test, P(T - |H) = 1 - 0.08 = 0.92

Therefore, the probability that a person is healthy, P(H) = 1 - 0.06 = 0.94

Therefore, in a population of 1,000 people, 60 people have the disease, with a sensitivity of 91%, the test will correctly pic 0.91×66 = 60.06 people correctly with the disease and 0.91 × 940 = 855.4 people without the disease

The number of non-diseased that test positive by the test is 0.08 × 1000 = 80 people which are false positives

Therefore, the number of diseased diagnosed as negative is 0.08 × 60 = 4.8

Therefore, we have;

[tex]\begin{array}{cccc}&Deseased&Non-diseased& Diseased + Non-diseased\\Test \ +ve&60.06&80& 140.06\\Test \ -ve&4.8&855.4&\end{array}[/tex]

The positive predictive value = Diseased +ve/(Diseased +ve + Non-diseased  +ve)

[tex]The \ positive \ predictive \ value = \dfrac{Diseased +ve}{Diseased +ve + Non-diseased +ve} \times 100[/tex]

Therefore;

The positive predictive value = 60.06/(60.06 + 140.06) × 100 ≈ 30.012%

Glenn needs to cut pieces of ribbon that are each 1 meter long to make ribbon key chains. If he has 6 pieces of ribbon that are each 1 dekameter long, how many 1−meter pieces of ribbon can he cut?

Answers

Answer: 60

Step-by-step explanation:

1=10. x6=60

The density of mercury is 13.5 times greater than the density of water. If you were to build a barometer that used water instead of mercury to record the standard pressure at sea level, what would be the height of that barometer? Assume that the mercury barometer is 76 centimeters, or 29.92 inches, long (this is the standard atmospheric pressure at sea level). View Available Hint(s) The density of mercury is 13.5 times greater than the density of water. If you were to build a barometer that used water instead of mercury to record the standard pressure at sea level, what would be the height of that barometer? Assume that the mercury barometer is 76 centimeters, or 29.92 inches, long (this is the standard atmospheric pressure at sea level). 110.29 centimeters (43.42 inches) 5.63 centimeters (2.21 inches) 89.5 centimeters (35.24 inches) 1026 centimeters (403.92 inches)

Answers

Answer:

h = 403.92in or 1026cm

Step-by-step explanation:

Given

Let x represent the density of mercury, and y the density of water.

[tex]y = 13.5x[/tex]

[tex]Mercury\ barometer =76cm[/tex] or [tex]Mercury\ barometer =29.92in[/tex]

Required

Determine the height of the barometer

At standard atmospheric pressure, the relationship between the mercury barometer and the height (h) of the barometer is:

[tex]h = 13.5 * Mercury\ barometer[/tex]

In centimeters, we have:

[tex]h = 13.5 * 76cm[/tex]

[tex]h = 1026cm[/tex]

In inches, we have:

[tex]h = 13.5 * 29.92in[/tex]

[tex]h = 403.92in[/tex]

The fastest clapper in the world can clap 720 times in 60 seconds. What is the unit rate? *

Answers

Answer: 12 claps per second

Step-by-step explanation: divide both by 60 and yield 12 times -1 second

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Losses from which of the following entities are carried forward at the entity level?a.C corporationb.S corporationc.LLCd.Sole proprietorship Olga migrated to Australia with her husband and two childrenfrom Russia one year ago. Her command of English is poor, and shehas little understanding of everyday business matters. While homealone, 1. Find f. (Use C for the constant of the first antiderivative and D for the constant of the second antiderivative.)f''(x) = 32x3 15x2 + 8x, f(x)=2.Find f.f''(x) = 2 + 24x 12x2, f(0) = 7, f'(0) = 16f(x)=3. Find f.f''(x) = 20x3 + 12x2 + 6, f(0) = 7, f(1) = 7f(x)=4. A high-speed bullet train accelerates and decelerates at the rate of 10 ft/s2. Its maximum cruising speed is 105 mi/h. (Round your answers to three decimal places.)(a) What is the maximum distance the train can travel if it accelerates from rest until it reaches its cruising speed and then runs at that speed for 15 minutes?(b) Suppose that the train starts from rest and must come to a complete stop in 15 minutes. What is the maximum distance it can travel under these conditions?(c) Find the minimum time that the train takes to travel between two consecutive stations that are 52.5 miles apart.(d) The trip from one station to the next takes at minimum 37.5 minutes. How far apart are the stations? hitchcock preferred a situation of normality in his settings.True or False Find the future value and the compound interest amount on $1845.00 invested at 12.45% compounded monthly for 15 years.Select one:a. FV = $ 11,826.681Interest = $ 9981.681b. FV = $ 11,834.87Interest= Cannot findc. FV = $ 11,826.681Interest= 1.037d. 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Accumulate depreciation and net book value of the machine for the years 2019, 2020 and 2021, Show workings.Present journal entries to record the trade-in of the old machine for the new machine.Explain the concept of depreciation and why it requires the use of judgement and estimates. answer plsConsider the following account balances of Mark, Inc., as of December 31, Year 3: Accounts Payable $298,500 Retained Earnings Equipment Common Stock Income Tax Payable 1,054,000 Notes Payable, due Yea 1. QPR stockbroker offers short selling facility to investors with 50% initial margin and 25% minimum margin. If subjected to a margin call, the investor must deposit some fund to return the position to minimum margin. You do short selling of 100,000 QPR stocks at the price of $1,000/stock. At what price are you subjected to a margin call?a. $1,100b. $1.250c. $1,200d. $1,1672. YXX stockbroker offers investors financing to buy stocks with the following requirements - Initial Margin: 50%; Minimum Margin: 20%; If subjected to a margin call, the investor must deposit some fund to repay part of his debt and return the position to minimum margin. You buy 100,000 WXX stocks at the price of $1,000/stock using the margin facility. If WXX stock price drops to $600, how much Rp do you have to deposit to meet the minimum margin call?a. $2 millionb. $1.6 millionc. $1.2 milliond. $0.8 millionHow much $? William got a second loan for 395,000 dlls to be payable in 9 years with interest rate of 10.5 percent per year compounded montly. He pays all montlhy payments on time. What would the payoff be at the end of the 20th month? Which of the following is a required condition for a discrete probability function? x) -0 for all values of x (x) = 1 for all values of X O f (x)< 0 for all values ofx O fx) 2 1 for all values of x From a group of 8 , we are choosing 3 How many possible outcomes if order doesn't matters ? Question 17 1 pts Brian makes a good Accountant. He is okay with ambiguity, and prefers to make decisions in his own time, not being rushed. Brian has a decision making style. directive Obehavioral O Probability 0.05 0.2 0.05 0.05 0.1 0.05 0.5 Scores 3 7 8 10 11 12 14 Find the expected value of the above random variable Z-score Mini-Assignment Each question is worth 2 marks. For full marks you must show your calculations. 1) A normally distributed random variable has a mean of 80 and a standard deviation of 5. The 2-score for x = 88.75 is: 2) Suppose you know that the 2-score for a particular x-value is -2.25. - 50 and o- 3 thenx=; 3) Suppose you know that P(Z = z;)=0.983. The Z-score is; a 4) A random variable is normally distributed with a mean of 40 and a standard deviation of 2.5. P(X S 43.75) is: Each question is worth 2 marks For full marks you must show your calculations 1) A normally distributed random variable has a mean of 80 and a standard deviation of 5. The Z-score for x = 88.75 is, 2) Suppose you know that the 2-score for a particular x-value is -2 25 If H50 and a 3 then x = 3) Suppose you know that P(Z SZ) = 0.983. The Z-score is, 4) A random variable is normally distributed with a mean of 40 and a standard deviation of 2.5. P(X 43.75) is . Complete the following ANOVA summary table for a two-factor fixed-effects ANOVA, where there are four levels of factor A (school) and five levels of factor B (curriculum design). Each cell includes 11 students. Use a significance level of a = 0.05. Source SS df MS F A 3319.3 3 1106.43 2508.91 .0000 B 4511 4 1127.75 255.26 .0000 10405.4 12 867.12 1966.26 .0000 Error 88.2 200 441 TOTAL 106435.7 219 Decision for the main effect of factor A: reject the null Hoi O fail to reject the null H01 Decision for the main effect of factor B: O reject the null H02 O fail to reject the null H02 Decision for the interaction effect between factors A and B: reject the null H03 O fail to reject the null H03 How would you summarize the results of this ANOVA? O one main effect only O two main effects with no interaction O one main effect with an interaction two main effects with an interaction O only an interaction effect O no significant effects Using P=7Using appropriate Tests, check the convergence of the series, 1 -nn + n3p'n2p n=1 (1) + true or false: standardized data will always match a companys filing. Which of the bones listed below does not contain air sinuses?A) the frontal boneB) the ethmoidC) the maxillaD) the mandible (b) For the following Cobb-Douglas technology f(ZI,, Zk)=z ZKB Calculate the conditional factor demand functions, cost function and profit function.