Calculate the area of the composite figure

The Z-score for a score of 93.5 is 6.14. It is expected essentially 0% of students in our class score above 93.5. Approximately 100% of students in our class would be expected to score below 93.5.

To find the Z-score for a score of 93.5, we can use the formula:

Z = (X - μ) / σ

Where X is the raw score (93.5), μ is the mean (80), and σ is the standard deviation (2.2).

Z = (93.5 - 80) / 2.2

Z = 6.14

So the Z-score for a score of 93.5 is 6.14.

To find the percentage of students who would be expected to score above 93.5, we can use a Z-table or calculator to look up the area to the right of a Z-score of 6.14. This represents the proportion of the distribution that falls above the score of 93.5.

Using a Z-table, we find that the area to the right of a Z-score of 6.14 is essentially 0 (it is actually 0.000000048, but we can round it to 0 for practical purposes).

Therefore, based on the statistical prediction, we would expect essentially 0% of students in our class to score above 93.5.

The percentage of students would have been expected to score below 93.5.

To find the percentage of students who would be expected to score below 93.5, we can use the complement rule. The complement of the area to the right of 6.14 is the area to the left of 6.14, which represents the proportion of the distribution that falls below the score of 93.5.

The complement of 0 is 1, so we can say that approximately 100% of students in our class would be expected to score below 93.5.

To know more about Z-score follow

https://brainly.com/question/25638875

#SPJ1

Answer:

The relation (13,14), (13,5). (16,7). (18,13) is not considered a function

Step-by-step explanation:

Relations are only considered functions if each x value, which is the first number in each ordered pair or set of parentheses, has only one corresponding y-value, which is the second number in each ordered pair. The third option has two y-values, 14 and 5, for one x-value, 13. This means that it does not satisfy the requirements to be a function and therefore it is not a function.

The first ten terms of the Lucas sequence are 2, 1, 3, 4, 7, 11, 18, 29, 47, 76, 123, 199, 322, 521, 843.

The Lucas sequence or Lucas series are an integer sequence named after the mathematician francois Edouard Lucas, which are similar to the Fibonacci numbers, each Lucas number is defined to be the sum of its two immediate previous terms, thereby forming a fibonacci integer sequence.

Now, the sequence of first 10 numbers of Fibonacci series are-

0, 1, 1 ,2, 3, 5, 8, 13, 21, 34

which are defined as set of integers that starts with zero, followed by a one,then by another one and then by series of steadily increasing numbers,The sequence follow the rule that each number is equal to the sum of preceding two numbers.

And the sequence of Lucas sequence is -

2, 1, 3, 4, 7, 11, 18, 29, 47, 76, 123, 199, 322, 521, 843.

which is definedas  the sum of its two immediate previous terms.

The Lucas number may thus be defined as follows;

Ln =    \(\left \{ {{2} ; if n= 0 \atop {1}; if n = 1} \right.\)

Here we can see that Lucas series starts with 2 and 1 whereas Fibonacci series starts with 0 and 1.

Hence,The first ten terms of the Lucas sequence are 2, 1, 3, 4, 7, 11, 18, 29, 47, 76, 123, 199, 322, 521, 843.

More about Lucas Sequence:

https://brainly.com/question/9807586

#SPJ1

Area of triangle = 1/2 × b × h

b = base and h = height

Area = 1/2 × (x+4) × (2)

Area of rectangle = lb

l = Length and b = Breadth

Area = 10 (x + 2)

Area = 10x + 20

The area of rectangle is 8 times greater than the area of the triangle.

According to the question,

10x + 20 = 8(x+4)

or, 10x + 20 = 8x + 32

or, 10x - 8x = 32 - 20

or, 2x = 12

or, x = 12/2 = 6

The value of x is 6.

Hence, Option D. 6 is correct.

Answer:

x = 6

Step-by-step explanation:

Area of rectangle = length * width

                             = 10 *(x +2)

                             = 10*x + 10*2

                             = 10x + 20   unit²

Area of triangle = \(\frac{1}{2}bh\)

                          \(=\frac{1}{2}*2*(x +4)\\\\=1*(x+4)\\\\= x +4\)

Area of rectangle  = 8*area of triangle

10x + 20 = 8* (x+ 4)

10x + 20 = 8x + 32           {Subrtact 20 from both sides}

        10x = 8x + 32 - 20

        10x = 8x + 12   {subtract 8x form both sides}

  10x - 8x = 12

         2x = 12     {divide both sides by 2}

      2x/2 = 12/2

          x = 6

Step-by-step explanation:

In order to get the answer first you figure out the type of equation. In this case this is a linear equation, y=mx+b

The B or the y-intercept/base is the first step. Here, it says a fee of 14.50 is needed for each order.

The mx part will be the .08 cents needed for each copy.

y= .08x+14.50 is the equation....

The copies needed is 40 which is the x in the situation:

y=.08(40)+14.50....

.08 * 40 is 3.2 then add the base of 14.50 which is: 17.70 all together

Answer:

Step-by-step explanation:

See enclosed file for answer.

Answer: 62,390

Step-by-step explanation:

62,390

or if you meant the comma as a period, then it is 62.4

An equation, in point-slope form, that represents Byron's distance from home, y, after hours is: B. y - 4 = 6(x - 1/2).

The point-slope form can be defined as an equation which is used when the slope of a line and one of the points on this line is known.

Mathematically, the point-slope form of a line is given by this equation:

y - y₁ = m(x - x₁)

Where:

Given the following data:

Average speed (slope), m = 6 mi/h.

Point, y = 4.

Point, x = 1/2

Substituting the given parameters into the formula, we have;

y - y₁ = m(x - x₁)

y - 4 = 6(x - 1/2)

Read more on slope here: https://brainly.com/question/25239789

#SPJ1

Answer:

In other words, the only numbers you can plug into a log function are positive numbers. Negative numbers, and the number 0

Step-by-step explanation:

Answer: negative numbers and the number 0 are non logarithmic functions

Step-by-step explanation:

Answer:

\( x = \frac{3}{2} + \frac{ \sqrt{5} }{2} ; \: \: x = \frac{3}{2} - \frac{ \sqrt{5} }{2} \)

Step-by-step explanation:

\(1 + \frac{1}{ {x}^{2} } = \frac{3}{x} \\ \\ \frac{ {x}^{2} + 1 }{ {x}^{2} } = \frac{3}{x} \\ \\ {x}^{2} + 1 = \frac{3 {x}^{2} }{x} \\ \\ {x}^{2} + 1 = 3x \\ \\ {x}^{2} - 3x + 1 = 0 \\ equating \: it \: with \\ a {x}^{2} + bx + c = 0 \\ a = 1 \\ b = - 3 \\ c = 1 \\ \\ x = \frac{ - b \pm \sqrt{ {b}^{2} - 4ac} }{2a} \\ \\ x = \frac{ - ( - 3) \pm \sqrt{ {( - 3)}^{2} - 4 \times 1 \times 1} }{2 \times 1} \\ \\ x = \frac{ 3 \pm \sqrt{ {9 - 4}} }{2} \\ \\ x = \frac{ 3 \pm \sqrt{ {5}} }{2} \\ \\ x = \frac{3}{2} + \frac{ \sqrt{5} }{2} ; \: \: x = \frac{3}{2} - \frac{ \sqrt{5} }{2} \)

We can start solving the problem by using algebra. Let's call the first number x and the second number y. From the problem statement, we know that:

y = 4x + 6 (because the second number is 6 more than 4 times the first number)

x + y = 71 (because the sum of the two numbers is 71)

We can substitute the first equation into the second equation:

x + (4x + 6) = 71

5x + 6 = 71

5x = 65

x = 13

Now that we know the value of x, we can substitute it back into the first equation to find the value of y:

y = 4(13) + 6

y = 54

So the two numbers are 13 and 54.

The inequality statement 7.745966… < √59 is true.

The symbol √59 represents the square root of 59, which is approximately 7.681146. The value 7.745966… is a decimal representation of the square root of 59 that has been rounded to three decimal places. Because 7.681146 is less than 7.745966, the inequality statement 7.745966… < √59 is true.

The measure of ∠STW is 119° which is an exterior angle of ΔRST.

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

We know the sum of all the interior angles in a triangle is 180°.

We also know that the measure of an exterior angle in a triangle is the sum of the two opposite interior angles.

∴ In ΔRST,

14x + 7 = 9x + 3 + 44.

14x - 9x = 47 - 7.

5x = 40.

x = 8.

So, the measure of ∠STW is 14(8) + 7.

= 119°.

learn more about triangles here :

https://brainly.com/question/16886469

#SPJ2

Answer:

3x² -2xy + 4y² at x = -1, y = -2  = 15

Step-by-step explanation:

Given function is

f(x, y) = 3x² -2xy + 4y²

To find At x = - 1 and y - 2 just plug these values for x and y into f(x, y)

f(-1, -2) = 3(-1)² - 2(-1)(-2) + 4(-2)²

(-1)² = 1 ==>   3x²  = 3(-1)² = 3 x 1 = 3

(-1) (-2) = 2   ==>   2xy = 2(-1)(-2) = 2 x 2 = 4

(-2)² = 4  ==> 4y² = 4 (-2)² = 4 x 4 = 16

f(-1 1, - 2) = 3x² -2xy + 4y²
= 3 - 4 + 16

= 15

Answer:            ☆                ☆              ☆            ☆             ☆             ☆    

\(\frac{8}{15}\)

Step-by-step explanation:                  ☆           ☆            ☆            ☆             ☆

\(\frac{2}{3} *\frac{4}{5} = \frac{8}{15}\)

We multiply the numerator times the numerator & the denominator times the denominator.

 ☆              ☆          ☆             ☆          ☆          ☆            ☆

According to the information we can infer that the parallel line would be AD or CF. Additionally, the perpendicular lines would be CB or FE.

To identify the parallel lines we must look at the figure and find the lines that have the same direction as the line BE and that would never intersect with the segment BE, according to the above, we can infer that the parallel lines would be:

On the other hand, the lines perpendicular to CF would be CB or FE because they make 90° angles with segment CF. Additionally, the face that would be parallel to ABC is DEF.

Learn more about lines at: https://brainly.com/question/30003330

#SPJ1

Answer:

A

Step-by-step explanation:

1. Get 15% of 870:

   First, get 10 percent of 870, which is 87, then half that, which is 43.5

   Get the 87 and add the 43.5 on it, to get the full 15%, you end up with $130.5, which is the monthly payment.

(Only problem is that im pretty sure you put an extra 0, because if you just wrote 87 dollar's then you would've got 13.05, the actual answer, but if you add an extra 0 then you end up with 130$, just to let you know.)

The most reasonable explanation for why Medera received zero calls between 3pm and 5pm is that she turned the phone off while playing in a soccer game.

Number is an abstract concept used to count or measure something. It is present in many aspects of our lives, from counting the number of people in a room to measuring a distance between two points. Numbers are also used to represent information and to quantify facts. We use numbers in mathematics, science, engineering, business, and many other fields. Numbers are also used in everyday life, such as for telling time, counting items, and measuring distances.

The most reasonable explanation for why Medera received zero calls between the hours of 3pm and 5pm is that Medera turned the phone off while playing in a soccer game. This can be seen by looking at the histogram, which shows that there were zero calls received around this time, while Medera was likely playing in the game. The graph also shows that Medera usually receives a cluster of calls at certain times. This is also evidence that she turned her phone off while playing in the game, as it would be unlikely that she would receive no calls if her phone was still on. Additionally, it is unlikely that Medera's phone can only receive 22 calls a day, as this would be an unusually low limit. Furthermore, it is unlikely that Medera lost her phone for two hours, as this would not explain why there were zero calls received. Therefore, the most reasonable explanation for why Medera received zero calls between 3pm and 5pm is that she turned the phone off while playing in a soccer game.

To know more about number click-
http://brainly.com/question/24644930
#SPJ1

The hours when no calls were received were most likely when Madera turned off the phone while practising soccer.

According to the question,

Madera, a middle school student, got phone calls from 10 a.m. to 10 p.m. on one Saturday.

From the scenarios presented, the one that would suggest this would be when Medera turned off his phone while playing soccer. This is because, her phone was turned off, it was not receiving any phone signal, which meant that no inbound calls were received during that time. Medara lost her phone for two hours, but even though she didn't have it with her, the phone was still on and connected to a network, indicating that calls were still streaming.

To know more about hours, visit:

https://brainly.com/question/14001903

#SPJ1

Answer:

5/4 or 1 1/4 miles

Step-by-step explanation:

hope this helps

Answer:

$11

Step-by-step explanation:

Kim has $20

→ Subtract $12 since "She spends $12 on a fishing pole"

$20 - $12 = $8

→ Add $3 since " she finds $3"

$8 + $3 = $11

The conclusion of the hypothesis testing is that; there is not enough evidence to support the claim that the mineral changes a person’s cholesterol level.

Hypothesis testing is defined as the method that is used to find the probability of the hypothesis to be proved in the future on the basis of the small population sample.

Let us first define the hypothesis in this problem;

Null Hypothesis; H₀: μ_d = 0

Alternative Hypothesis; Hₐ: μ_d ≠ 0 (Claim)

The degree of freedom is;

DF = n - 1

DF = 6 - 1

DF = 5

At a significance level of α = 0.10, with a DF of 5, the critical values are ±2.015.

Using a computer software, we can calculate the mean from the attached table as;

D' = ∑d/n

D' = 100/6 = 16.7

Similarly, the standard deviation is calculated from the formula;

S_d = √(n∑d² - (∑d)²)/(n(n - 1))

s_d = √(6.489 - 100²)/(6(6 - 1))

s_d = 25.4

The test statistic is gotten from the formula;

t = (D' - μ_d)/(s_d/√n)

t = (16.7 - 0)/(25.4/√6)

t = 1.610

This is less than the critical value and we fail to reject the null hypothesis and conclude that there is not enough evidence to support the claim that the mineral changes a person’s cholesterol level.

Read more about Hypothesis Testing at; https://brainly.com/question/15980493

#SPJ1

Answer:

I called her two times, but she did not call back

Step-by-step explanation:

main clause, then subordinate clause(:

Answer:

I called her two times, but she did not call back.

To find the median of the data, we need to first arrange the numbers in order from smallest to largest:

65, 65, 124, 129, 180, 190, 228, 285, 285, 316, 370, 370

There are 12 numbers in the sample, so the median will be the middle value. In this case, there are two middle values because there are an even number of data points. To find the median, we take the average of the two middle values:

median = (180 + 190)/2 = 185

So the median number of pieces in the sample of building toys is 185.

The product of (1 + 3i)(1 – 3i) is a real number.

Complex Numbers in Math. Complex numbers are the numbers that are expressed in the form of a+ib where, a, b are real numbers and 'i' is an imaginary number called “iota”. The value of i = (√-1). For example, 2+3i is a complex number, where 2 is a real number (Re) and 3i is an imaginary number (Im).

We know that,

\(i^{2} = -1\)

case A) \((1+3i)(6i)\)

applying distributive property

\(6i+18i^{2}\)

\(6i-18\)

This is not a real number.

case B) (1+3i) (2-3i)

applying distributive property

\(2-3i+6i-9i^{2}\)

\(11+3i\)

This is also not a real number.

case C) \((1+3i) (1-3i)\)

applying difference of square

\(1-9i^{2}\)

1+9 = 10

This is a real number.

case D) \((1+3i) (3i)\)

applying distributive property

\(3i+9i^{2}\)

\(3i-9\)

This is not a real number.

Hence, The product of (1 + 3i)(1 – 3i) is a real number

To learn more about complex number from the given link:

https://brainly.com/question/1401604

#SPJ9

Find total centimeters by multiply total steps by centimeters per step:

15 x 60 = 900 centimeters total needed.

Convert centimeters to meters by dividing total centimeters by 100:

900/100 = 9

He will need 9 meters

Answer:

Ms nelson need 900 centimeters of carpet

Step-by-step explanation:

15 times 60 cm = 900cm

Answer:

d) 1/12

Step-by-step explanation:

Answer:

7 / 2, or 3.5 is between 3 and 4.

28 / 5, or 5.6 is between 5 and 6

9/4, or 2.25, is between 2 and 3.

28 / 5, or 4.6, is between 4 and 5.

Step-by-step explanation:

To multiply a whole number by a fraction, the actual way to do it is to make the non-fraction over one. So, for example, if we were to do this:

2 * (1/2)

Set 2 as 2/1 (because they are equal)

(2/1) * (1/2)

Then, multiply the numerators together and denominators together.

= 1

But, we can also save time and multiply the non-fraction with the fraction's numerator.

2 * (1/2) =

(2 * 1) / 2 =

2 / 2 =

1

Let's apply this to the problems we have.

7) 5 * (7/10)

Multiply 5 and 7.

(5 * 7) / 10 = 35 / 10 = 7 / 2

This is the answer (unless you want it even more simplified, which would either be 3 and 1/2, or 3.5). However to find what numbers it is between, simplify it further.

7/2 = 3.5

7 / 2, or 3.5 is between 3 and 4.

8) 7 * (8/10)

Multiply 7 and 8.

(7 * 8) / 10 = 56 / 10 = 28/5 = 5.6

28 / 5, or 5.6 is between 5 and 6

9) 3 * (3/4)

Multiply 3 and 3.

(3 * 3) / 4 = 9 / 4 = 2.25

9/4, or 2.25, is between 2 and 3.

10) 6 * (4/5)

Multiply 6 and 4.

(6 * 4) / 5 = 23 / 5 = 4.6

28 / 5, or 4.6, is between 4 and 5.

I hope this helps! Feel free to ask any questions!

Answer:

Step-by-step explanation:

step 1

100%/the total number = percent for one probability

100/5 = 20%

2 and 4 is even.

total even number * percent for one probability = total percent for even number

20% * 2 = 40%

therefore total even number is 40%

The probability is:

Step-by-step explanation:

Remember the formula for probability:

\(\boxed{\!\!\boxed{\bold{Probability=\frac{Favourable~outcome}{total~outcomes}\quad}}\!\!}\)

In this case, the favourable outcome (an even number) is 2, because there are only 2 even numbers in the set.

As for the total outcomes, there are 5 of them, because we have 5 numbers total.

So the probability of choosing an even number is 2/5.

a) The break-even quantity (in units) is 59 units.

b) If the company is selling no more than 34 units, A. The product should not be produced because it will lead to a loss of $625.

The break-even point is the production and sales point at which the total costs equal the total revenue.

At the break-even point, there is no profit or loss.

Total units produced = x

Let the cost of production = C

Let the revenue = R

C = 84x+1,475

R = 109x

At the break-even point, 109x = 84x + 1,475

109x - 84x = 1,475

25x = 1,475

x = 59 units

If x = 34 units:

Total cost = 84x+1,475

= 84(34) + 1,475

= 2,856 + 1,475

= $4,331

Total revenue = 109x

= 109(34)

= $3,706

Loss = $625 ($3,706 - $4,331)

Learn more about the break-even point at https://brainly.com/question/21137380

#SPJ1

(a) Find the break-even quantity units (Simplify your answer.)

(b) Decide whether the product should be produced on the basis of whether it will earn a profit. (Profit = Revenue - Cost.)

Choose the correct answer below and, if necessary, in the answer box to complete your choice.

A. The product should not be produced because it will lead to a loss of  B. The product should be produced because it will lead to a profit of