Find the Z-score such that the area under the standard normal curve to the right is 0.32 Click the icon to view a table of areas under the normal curve. The approximate Z-score that corresponds to a right tail area of 0.32 is 0.7517 (Round to two decimal places as needed.)

Answer:

The answer to the question is 540°

Step-by-step explanation:

The reason to the answer is:-

There is a formula which is (n - 2) × 180

n is the number of sides the shape has, and there is 5 sides so we subtract 5 - 2 = 3

Therefore, 3 × 180 = 540°

I hope this answer helps!

Answer:

540°

General Formulas and Concepts:

Math

Pre-Algebra

Order of Operations: BPEMDAS

Geometry

Step-by-step explanation:

Step 1: Define

We have a polygon with 5 sides (a pentagon)

n = 5

Step 2: Find Sum

True, a researcher wants to compare performance scores for men versus women on a motor skills task. it would not be possible to use a repeated measures design for this study.

What is a performance comparison?

They are frequently used while benchmarking, which is the practice of evaluating an organization's performance versus that of the best-performing businesses.

                 The measures are employed in productivity improvement projects to monitor changes in productivity over time.

Why is performance measurement important?

Comparing is one of the most important growth drivers. Only when we contrast our development with that of our rivals or our current performance with our former performance do we get motivated to advance and accomplish greater feats.

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There are 20 different combinations of committees that can be formed since no person can serve on more than one committee.

In order to form committees of 4, 3, and 2 people, we must first determine how many combinations are possible. There are 9 people in total, so the first committee must consist of 4 people. That leaves 5 people. The second committee must consist of 3 people, leaving 2 people for the final committee. To calculate the total number of combinations, we must multiply the number of choices for each committee. For the first committee, there are 9C4 combinations, for the second committee there are 5C3 combinations, and for the third committee there are 2C2 combinations. Multiplying these together, we obtain 9C4 x 5C3 x 2C2 = 20 combinations. Therefore, there are 20 different combinations of committees that can be formed since no person can serve on more than one committee.

The complete question: A group of 9 people is going to be formed into committees of 4, 3, and 2 people. How many can be formed if no person can serve on more than one committee?

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Answer: A, C

Step-by-step explanation: Let me know if you need an explanation.

For Michael to pay cash for the tractor priced at R160,000 with the exchange rate as US$1 = R17.96, the amount he must change is US$8,908. 69.

An exchange rate is the unit rate at which one country's currency is exchanged for another.

Exchange rates are based on a country's economic performance or indices in comparison to other countries.

The price of the tractor = R160,000

Exchange Rate: US$ = R17.96

R160,000 = US$8,908. 69 (R160,000/R17.96)

Thus, Michael needs to exchange US$8,908. 69 to purchase the tractor costing R160,000.

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The factors of the expression 25x² + 10x + 1 will be (5x + 1)². Thus, the correct option is A.

Given that:

Expression, 25x² + 10x + 1

It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.

Factorize the expression, then we have

25x² + 10x + 1 = 25x² + 5x + 5x + 1

25x² + 10x + 1 = 5x(5x + 1) + 1(5x + 1)

25x² + 10x + 1 = (5x + 1)(5x + 1)

25x² + 10x + 1 = (5x + 1)²

Thus, the correct option is A.

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The complete question is given below.

Write the factors of the expression 25x² + 10x + 1.
A. (5x + 1)²
B. (25x + 1)(x + 1)
C. (5x + 1)(5x - 1)

The measures of the angles in the figure are DBE = 64 degrees, CBE = 26 degrees. Others are shown below

Figure 7

The angle DBC is right angled

So, we have

17x + 13 + 32 - 2x = 90

This gives

15x + 45 = 90

So, we have

x = 3

Solving for the other angles, we have

DBE = 17 * 3 + 13 = 64

CBE = 32 - 2 * 3 = 26

Figure 8

Here, we have

5x + 29 = 9x - 15 -- alternate angles

So, we have

4x = 44

Divide

x = 11

Solving for the other angles, we have

WVZ = 9 * 4 - 15 = 21

CBE = 90 - 21 = 69

Figure 9

Here, we have

8x - 17 = 5x + 13 -- alternate angles

So, we have

3x = 30

Divide

x = 10

Solving for the other angles, we have

RTS = 5 * 10 + 13 = 63

PTQ = 90 - 63 = 27

Figure 10

Here, we have

6x + 25 + 2x + 23 = 180 -- angles on a straight line

So, we have

8x = 132

Divide

x = 16.5

Solving for the other angles, we have

EFG = 6 * 16.5 + 25 = 124

IFH = 180 - 124 = 56

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Answer:

  10

Step-by-step explanation:

You want the determinant of the matrix ...

  \(\left[\begin{array}{cc}1&-2\\3&4\end{array}\right]\)

The determinant of a matrix is a sum of products. Each product is the element of a row or column multiplied by its cofactor.

For a 2×2 matrix, this becomes the difference between the product of diagonal terms and the product of off-diagonal terms:

  (1·4) - (3·(-2))

  = 4 +6

  = 10

__

Additional comment

The cofactor of term a[i, j] is (-1)^(i+j)·det(M[i,j]), where M[i,j] is the minor matrix obtained by removing row i and column j from the original. As you can see, this definition of a determinant is recursive.

The above describes the determinant of a 2×2 matrix. The determinant of a 3×3 matrix resolves to a sum of 6 3-element products. For larger matrices, the computation burden can be reduced by taking advantage of rows or columns containing zeros.

Answer:

m<x=60°

Step-by-step explanation:

180-40= 140

140-80=60

m<x=60°

Hope this helps! :)

The estimated median price of a single-family home in Charleston/No. Charleston in the 1st Quarter of 2008 is $201,048. If the median price continues to decrease at the same rate for the next two years, the estimated median price of a single-family home in the 1st Quarter of 2011 would be $144,458.

(a) To estimate the median price of a single-family home in the 1st Quarter of 2008, we need to calculate the original price before the 8.15% decrease. Let's assume the original price was P. The price after the decrease can be calculated as P - 8.15% of P, which translates to P - (0.0815 * P) = P(1 - 0.0815). Given that the end of 1st Quarter of 2009 median price was $184,990, we can set up the equation as $184,990 = P(1 - 0.0815) and solve for P. This gives us P ≈ $201,048 as the estimated median price of a single-family home in the 1st Quarter of 2008.

(b) If the median price of a single-family home falls at the same rate for the next two years, we can calculate the price for the 1st Quarter of 2011 using the estimated median price from the 1st Quarter of 2009. Starting with the median price of $184,990, we need to apply an 8.15% decrease for two consecutive years. After the first year, the price would be $184,990 - (0.0815 * $184,990) = $169,805.95. Applying the same percentage decrease for the second year, the price would be $169,805.95 - (0.0815 * $169,805.95) = $156,012.32. Therefore, the estimated median price of a single-family home in the 1st Quarter of 2011 would be approximately $144,458.

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Answer:

92

Step-by-step explanation:

12x6=72

(10-6)x5= 4x5= 20

72+20= 92

Answer:

$37.50

Step-by-step explanation:

22 x 2.50 = 55

92.50 - 55 = 37.5

the purchase of the burgers cost

$37.50

(im not sure if its correct tho so im sorry if im wrong)

Answer:

5n^2 - 3n - 8

Step-by-step explanation:

4n.5n - 4n.8 + 4.5n - 4.8

= 20n^2 - 32n + 20n - 32

= 20n^2 - 12n - 32

= 4 ( 5n^2 - 3n - 8 )

= 5n^2 - 3n - 8 [ answer ]

Answer:

To visit his grandmother, Luis takes a train 6.37 kilometers and a car 5.45 kilometers. How many kilometers is Luis's journey in total? Answer: Luis traveled 11.82 km to visit her grandmother.

Step-by-step explanation:

Answer:

11.82

Step-by-step explanation:

This refers to the ratio between the scale of a given original object and a new object. It is its representation but of a different size (bigger or smaller). For example, if we have a rectangle of sides 2 cm and 4 cm, we can enlarge it by multiplying each side by a number, say 2.

Solving for the area and scale factor we have:

L= 5 units

W = 2 units

A = (5 x 2)

A = 10 square units.

A= (Scale factor of  L * W)*  L * W

= (2 x 2 x 5 x 2)

A = 40 square units.

A= (Scale factor of  L * W)*  L * W

= (3 x 3 x 5 x 2)

A= 90 square units

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Answer:

Step-by-step explanation: 3×6+1,3×6 is 18+1 is 19/6 is your answer

Step 1

Simplify the expression.

Step 2

Find a trigonometric identity that can be used to simplify the expression in step 1

Step 3

Get the final answer after substitution.

Hence the right answer is option B

Answer:

ill try! <3

Step-by-step explanation:

Answer:

35.82 %

Step-by-step explanation:

Total no of electrician job = 67

No. of indentured apprentices = 24

____________________________________

Percentage mean per hundred,

Example for x percentage of any thing

literally it means if there are total no. of 100 things, then x  is the number of thing  in consideration.

Formula for  percentage calculation = (number of a particular thing/ total no of things out of which  the particular thing is considered) *100

______________________________________

Here,

Total no of electrician job = 67

No. of indentured apprentices = 24

percentage of  indentured apprentices = (Total no of electrician job /No. of indentured apprentices)   * 100 = 24/67 *100 = 35.82 %

Thus, there  35.82 % indentured apprentices  out of total electricians.

It means that if there were 100 electricians, then there would have been 35.82  indentured apprentices out of those 100 electricians.

Answer:

50

Step-by-step explanation:

138-88=50

Answer:

The area of the shaded portion is 450.185 in^2

Step-by-step explanation:

21^2+20^2=841

The square root of 841 is 29

29+20+21=70

70*1/2=35

35-29=6

35-21=14

35-20=15

The square root of 35*6*14*14=210

The area of the triangle is 210 in^2

The diameter of the circle is 29, so the radius is 14.5

14.25^2=210.25

210.25*3.14=660.185

660.185-210=450.185

Answer:

it should be x=2 or x=--4

Answer:

22

Step-by-step explanation:

The x-coordinates are the same, so we can find the positive difference between the y-coordinates, which is 22.

the answer is D) 22.

Answer:

40 mph

Step-by-step explanation:

convert the time into hours only:  2 hours 27 mins = 2 + 27/60 = 2.45 hours

98 / 2.45 = 40 mph

If Bob only fixes 50 computers, his total loss is $3,750.

The total loss results from the negative difference between the total revenue and the total costs.

The total costs consist of variable and fixed costs.

The result is a loss when the total costs exceed the total revenue.  This result becomes a profit or income when the total revenue exceeds the total costs.

Equipment = $5,000

Premises = $6,000

Advertising = $4,000

Total fixed costs = $15,000

Variable cost per unit = $25

Selling price per unit = $250

Total number of computers fixed = 50

The total variable cost for 50 units = $1,250 (50 x $25)

The total costs (fixed and variable) = $16,250

The sales revenue for 50 units = $12,500 (50 x $250)

Loss = $3,750 ($12,500 - $16,250)

Thus, Bob will incur a total loss of $3,750 if he fixes only 50 computers based on his fixed and variable costs.

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Answer:

47 inches

Step-by-step explanation:

12 + 10 + 16 + 9 = 47

hope this helps you :)

perimeter means all the sides added up together.

The colorimeter detects the voltage created when sunlight penetrates the specimen, so the voltage created is exactly proportional to the absorbance of the sample.

When charged electrons (current) are forced through a conducting loop by the weight of an electrical raceway power source, they can perform tasks like lighting a lamp. In a nutshell, voltage equals pressure and is expressed in volts (V).

Here,

The voltage generated by the uv spectrophotometer is inversely proportionate to the amount of light present and linearly proportional to the sample's absorbance.

This indicates that as the sample's absorbance rises, so does the energy the colorimeter generates.

Similar to this, the voltage generated by the colorimeter rises as light strength falls.

The Beer-Lambert Law, which says that a sample's absorbance is directly proportional to its concentration of the absorbing substance and its path length and inversely proportional to incident light intensity, describes this connection.

The colorimeter detects the voltage created when sunlight penetrates the specimen, so the voltage created is exactly proportional to the absorbance of the sample.

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Answer:

(- 3, 5 )

Step-by-step explanation:

6x - y = - 23 ( multiply through by - 1 )

- 6x + y = 23 (add 6x to both sides )

y = 23 + 6x → (1)

8x + 3y = - 9 → (2)

substitute y = 23 + 6x into (2)

8x + 3(23 + 6x) = - 9 ← distribute parenthesis and simplify left side

8x + 69 + 18x = - 9

26x + 69 = - 9 ( subtract 69 from both sides )

26x = - 78 ( divide both sides by 26 )

x = - 3

substitute x = - 3 into (1)

y = 23 + 6(- 3) = 23 - 18 = 5

solution is (- 3, 5 )

Answer:

x = - 3, y = 5

Step-by-step explanation:

6x - y = - 23

8x + 3y = - 9

To solve a pair of equations using substitution first solve one of the equations of one of the variables. Then substitute the result in the other equation.

6x - y = - 23, 8x + 3y = - 9

Choose one of the equations and solve for x.

6x - y = - 23

Add y to both sides of the equation.

6x = y - 23

Divide both sides by 6.

x = 1/6 (y - 23)

Multiply 1/6 times y - 23.

x = 1/6y - 23/6

Substitute -23+y/6 for x in the other equation

8(1/6y - 23/6) + 3y = - 9

Multiply 8 times -23+y/6.

4/3y - 92/3 + 3y = - 9

Add 92/3 to both sides of the equation.

13/3y = 65/3

Divide both sides of the equation by 13/3y which is the same as multiplying both sides of the reciprocal of the fraction.

y = 5

Substitute 5 for y in x = 1/6y - 23/6 because the resulting equation contains only one variable, you can solve for x directly

x = 1/6(5) - 23/6

Multiply 1/6 times 5.

x = 5 - 23 / 6

Add -23/6 to 5/6 by finding a common denominator and adding the numerators. Then reduce the fraction to the lowest terms if possible.

x = - 3

The system is now solved.    

x = - 3 , y = 5