Question in the image

Answer:

Yes, if you want to graduate yes

Answer:

8000

Step-by-step explanation:

Natalie

Divide 40k by 2 to get 20k and divide 20k by 5 to get 4k we are at 10%

4k / 5 = 800 that means that every 2% is 800 now we multiply by 4x

To get 8% and we get 3200 and multiply by 20 representing the yrs

3200 x 20 = 64k + 40+ = 104k

Mackenzie

40k divide by 2 to get 50% 40k / 2 = 20k and now we divide by 5 to get 10% 20k / 5 = 4k now we divide by 10 to get the amount of each percents worth 4k / 10 = 400 we multiply by 9 to get the compounded interest

400 x 9 = 3600 multiply by 20 to get the compounded daily investment after 20yrs 3600 x 20 = 72k + 40k = 112k

112k - 104k = 8k

To solve this problem, we need to find the lengths of the two pieces when the wire is cut into two parts. Let's denote the length of each leg of the triangle as\(\(x\).\)

The perimeter of the triangle is the sum of the lengths of its three sides. Since the two legs are equal in length, the perimeter can be expressed as \(\(2x + x = 3x\).\)

The length of the wire is given as 71 cm, so we have the equation \(\(3x = 71\).\)

Solving for\(\(x\),\) we divide both sides of the equation by 3:

\(\(x = \frac{71}{3}\).\)

Now that we know the length of each leg of the triangle, we can proceed to the next part of the problem.

The circumference of a circle is given by the formula \(\(C = 2\pi r\)\), where\(\(C\)\)is the circumference and r is the radius. In this case, the wire of length xis bent into the shape of a circle, so we can set the circumference equal to x and solve for the radius r:

\(\(x = 2\pi r\).\)

Substituting the value of x we found earlier, we have:

\(\(\frac{71}{3} = 2\pi r\).\)

Solving for r, we divide both sides of the equation by \(\(2\pi\):\)

\(\(r = \frac{71}{6\pi}\).\)

Therefore, the two pieces of wire will have lengths\(\(\frac{71}{3}\)\)cm and the radius of the circle will be\(\(\frac{71}{6\pi}\)\) cm.

In summary, when the 71 cm wire is cut into two pieces, one piece will have a length o\(\(\frac{71}{3}\)\)cm, which can be bent into the shape of an equilateral triangle with legs of equal length, and the other piece can be bent into the shape of a circle with a radius of \(\(\frac{71}{6\pi}\)\) cm.

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Answer: 3 hours and 25 minutes

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

The colonists thought of King George III as a tyrant, which is evident when looking at the founding documents of the United States and the political parties. The Constitution created separation of powers so nobody would be able to become a tyrant or dictator. There are checks and balances to keep people from gaining too much power and overtaking the government. When looking into the political parties later on, there were the Anti-federalists, who did not want a strong central government because they did not want another King George, who they just got out of a war with.

Answer:

\(6\frac{11}{15}\)

Step-by-step explanation:

\(2\frac{1}{3}\) equals to \(\frac{7}{3}\)

\(\frac{11}{5}+\frac{11}{5}=\frac{22}{5}\)

but the denominator is not the same in \(\frac{7}{3}\) and \(\frac{22}{5}\). So you would need to find the LCM for 3 and 5. The LCM for 3 and 5 is 15.

\(\frac{7}{3}*\frac{5}{5} =\frac{35}{15}\)

\(\frac{22}{5}*\frac{3}{3} =\frac{66}{15}\)

\(\frac{35}{15} +\frac{66}{15} =\frac{101}{15}\)

\(\frac{101}{15} =6\frac{11}{15}\)

The hip breadth for males that separates the smallest 99% from the largest 1% is determined to be 17.03 inches using the Z-score formula and percentile calculations.

According to the question, the engineers want to design seats in commercial aircraft that can accommodate at least 99% of all males. The mean and standard deviation of male hip breadth are 14.9 in. and 1.1 in., respectively.

To determine P99, we need to find the hip breadth for males that separates the smallest 99% from the largest 1%. The value of P99 can be determined using the Z-score formula, which is given by Z = (X - μ)/σ where X is the raw score, μ is the mean, σ is the standard deviation and Z is the standard score.

Since we are looking for the hip breadth for males that separates the smallest 99% from the largest 1%, we need to find the Z-score for the 99th percentile.

Using a Z-score table, we can find that the Z-score for the 99th percentile is 2.33. Substituting the given values into the Z-score formula, we get 2.33 = (X - 14.9)/1.1. Solving for X, we get:X = 2.33(1.1) + 14.9 = 17.03 inches

Therefore, the hip breadth for men that separates the smallest 99% from the largest 1% is 17.03 inches.

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The triangles Δ MNO and ΔXYZ are congruent to each other by AAS postulate as two corresponding angles and a corresponding side are equal to each other.

We have,

Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.

Given that YO = NZ.

Consider YO = NZ

Now Add OZ on both sides

YO + OZ = NZ + OZ

YZ = NO

Consider triangles Δ MNO and ΔXYZ.

M ≅ X

N ≅ Y

YO ≅ NZ

Δ MNO ≅ ΔXYZ by AAS postulate.

Therefore, the triangles Δ MNO and ΔXYZ are congruent to each other by AAS postulate as two corresponding angles and a corresponding side are equal to each other.

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complete question:

The congruency of △MNO and △XYZ can be proven using a reflection across the line bisecting OZ. However, this congruency can also be proven using geometric postulates, theorems, and definitions. Prove that the triangles are congruent using a two-column proof and triangle congruency theorems.

Given: M ≅ X

N ≅ Y

YO ≅ NZ

Prove: △MNO ≅ △XYZ

Step-by-step explanation:

diameter (d) = 7cm

radius (r)= d/2 .... formula

= 7/2 .....put the value

= 3.5cm

the measure of radius is 3.5cm.

What each part of the expression represents in the context of the problem include the following:

In Mathematics, an algebraic expression simply refers to a mathematical equation that can be used in showing the relationship that typically exist between two or more numerical quantities, variables, as well as in conjunction with different mathematical operations.

In this exercise, we are provided with the following algebraic expression:

0.07r + (r – 20)

In the context of fixing David’s broken watch, the expression 0.07r most likely represents the amount of money charged as tax while the variable r represents the original cost of the repair. Additionally, the expression (r – 20) is the discount David received to fix his broken watch.

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The value of x in the equation 9x In x + x = 0 is x = 0.895

From the question, we have the following parameters that can be used in our computation:

9x In x + x = 0

To calculate the value of x, we start by dividing through the equation by x

So, we have the following representation

9 In x + 1 = 0

Subtract 1 from both sides of the equation

This gives

9 ln x = -1

Divide both sides by 9

ln x = -1/9

So, we have

x = e^(-1/9)

Evaluate the exponent

x = 0.895

Hence, the solution to the equation is x = 0.895

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Answer:

a

Step-by-step explanation:

the perimeter (P) of a square is the sum of the 4 congruent sides.

the area of a square is calculated as

area = s² ( s is the length of a side )

here area is 36 , then

s² = 36 ( take square root of both sides )

s = \(\sqrt{36}\) = 6

then

P = 4s = 4 × 6 = 24 cm

Answer: The answer is 10

Step-by-step explanation:

      Distribute 1(x-2)/5 = 1(x+6)/10

         x-2/5 = x+6/10

      Multiply by 10 on each side

         2(x - 2) = x + 6

          Distribute

          2x - 4 = x + 6

           Add 4 on each side

           2x= x + 10

           Subtract x

             x = 10

Answer: x=10

Step-by-step explanation:

1/5(x-2)=1/10(x+6)

Distribute and multiply first

(1/5*x) -(1/5*2)=(1/10*x) +(1/10*6)

1/5x-2/5=1/10x+6/10

We do not have the same denominators on both sides. 5 goes into 10 two times so we will multiply everything on the left by 2 to get a common denominator.

2/10x-4/10=1/10x+6/10

Subtract 1/10x from both sides

1/10x-4/10=6/10

Add 4/10 to both sides

1/10x=10/10

1/10x= 1

Multiply both sides by 10/1 (the fraction inverse) to get rid of the fraction.

(10/1)(1/10x) =(1)(10/1)

x= 10

Check work:

1/5(x-2)=1/10(x+6)

Substitute your answer for x

1/5(10-2)=1/10(10+6)

1/5(8)=1/10(16)

8/5=16/10

Simplify 16/10 by dividing by 2

8/5=8/5

Answer:

a) The probability that a student will do homework regularly and also pass the course = P(H n P) = 0.57

b) The probability that a student will neither do homework regularly nor will pass the course = P(H' n P') = 0.12

c) The two events, pass the course and do homework regularly, aren't mutually exclusive. Check Explanation for reasons why.

d) The two events, pass the course and do homework regularly, aren't independent. Check Explanation for reasons why.

Step-by-step explanation:

Let the event that a student does homework regularly be H.

The event that a student passes the course be P.

- 60% of her students do homework regularly

P(H) = 60% = 0.60

- 95% of the students who do their homework regularly generally pass the course

P(P|H) = 95% = 0.95

- She also knows that 85% of her students pass the course.

P(P) = 85% = 0.85

a) The probability that a student will do homework regularly and also pass the course = P(H n P)

The conditional probability of A occurring given that B has occurred, P(A|B), is given as

P(A|B) = P(A n B) ÷ P(B)

And we can write that

P(A n B) = P(A|B) × P(B)

Hence,

P(H n P) = P(P n H) = P(P|H) × P(H) = 0.95 × 0.60 = 0.57

b) The probability that a student will neither do homework regularly nor will pass the course = P(H' n P')

From Sets Theory,

P(H n P') + P(H' n P) + P(H n P) + P(H' n P') = 1

P(H n P) = 0.57 (from (a))

Note also that

P(H) = P(H n P') + P(H n P) (since the events P and P' are mutually exclusive)

0.60 = P(H n P') + 0.57

P(H n P') = 0.60 - 0.57

Also

P(P) = P(H' n P) + P(H n P) (since the events H and H' are mutually exclusive)

0.85 = P(H' n P) + 0.57

P(H' n P) = 0.85 - 0.57 = 0.28

So,

P(H n P') + P(H' n P) + P(H n P) + P(H' n P') = 1

Becomes

0.03 + 0.28 + 0.57 + P(H' n P') = 1

P(H' n P') = 1 - 0.03 - 0.57 - 0.28 = 0.12

c) Are the events "pass the course" and "do homework regularly" mutually exclusive? Explain.

Two events are said to be mutually exclusive if the two events cannot take place at the same time. The mathematical statement used to confirm the mutual exclusivity of two events A and B is that if A and B are mutually exclusive,

P(A n B) = 0.

But, P(H n P) has been calculated to be 0.57, P(H n P) = 0.57 ≠ 0.

Hence, the two events aren't mutually exclusive.

d. Are the events "pass the course" and "do homework regularly" independent? Explain

Two events are said to be independent of the probabilty of one occurring dowant depend on the probability of the other one occurring. It sis proven mathematically that two events A and B are independent when

P(A|B) = P(A)

P(B|A) = P(B)

P(A n B) = P(A) × P(B)

To check if the events pass the course and do homework regularly are mutually exclusive now.

P(P|H) = 0.95

P(P) = 0.85

P(H|P) = P(P n H) ÷ P(P) = 0.57 ÷ 0.85 = 0.671

P(H) = 0.60

P(H n P) = P(P n H)

P(P|H) = 0.95 ≠ 0.85 = P(P)

P(H|P) = 0.671 ≠ 0.60 = P(H)

P(P)×P(H) = 0.85 × 0.60 = 0.51 ≠ 0.57 = P(P n H)

None of the conditions is satisfied, hence, we can conclude that the two events are not independent.

Hope this Helps!!!

Answer:

the ratio of total sales or revenue to average assets

Step-by-step explanation:

djjcjdm.x....

Answer:

Days of Asset Turnover The Enterprise Accounting System specifies that the net revenue from main business of an enterprise should be the amount of revenue from main business after deducting sales discounts and sales discounts, which is called net revenue from main business. Total asset turnover ratio = total sales revenue / average total assets x 100%.

Step-by-step explanation:

Jim must pay tax  $3.57.

The correct answer is (a) $3.57.

To calculate the sales tax that Jim must pay, we need to find 7% of the total cost of the shoes and laces.

The total cost of the shoes and laces is $50 (shoes) + $1 (laces) = $51.

To calculate the sales tax, we multiply the total cost by the tax rate:

Sales tax = 7% of $51

\(= 0.07 \times $51\)

= $3.57.

Therefore, Jim must pay $3.57 in sales tax.

The correct answer is (a) $3.57.

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The inverse of f(x) = x^(7/9) using exponential notation is f(x) = x^(9/7)

An inverse function in mathematics is a function that "undoes" another function.

In other words, if f(x) yields y, then y entered into the inverse of f yields the output x.

An invertible function is one that has an inverse, and the inverse is represented by the symbol f⁻¹.

The given function is of the form

f(x) = x^(7/9), this is equivalent to ⁹√x⁷

say f(x) = y, then

f(x) = y = x^(7/9)

y = x^(7/9)

solving for the inverse, of y = x^(7/9)

y = x^(7/9)

y^(9/7) = x

interchanging the letters

y = x^(9/7)

hence the inverse function is solved to be f⁻¹(x) = x^(9/7)

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Given:

The inside diameter of the pope, I.D.=0.599 in.

The outside diameter of the pope, O.D.=1.315 in.

The inside radius of the pope is,

The outside radius of the pope is,

The wall thickness of the pope can be calculated as,

Therefore, the wall thickness of the pope is t=0.358 in.

Cultural identity component of an individual which makes him identifiable with a given group. For example, British Asian is a cultural identity.

Cultural identity can be described as a component of an individual which makes him identifiable with a given group that share the same characteristics.

Examples of cultural identities may include the following:

I can state that I am a British Asian. British Asian is my cultural identity.

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Answer:

CI = (70.861 , 94.418)

Step-by-step explanation:

In order to determine the 90% confidence interval you use the following formula (for a population approximately normal):

\(CI=(\overline{x}-Z_{\alpha/2}\frac{\sigma}{\sqrt{n}},\overline{x}+Z_{\alpha/2}\frac{\sigma}{\sqrt{n}})\)    (1)

\(\overline{x}\): mean = 82.64

σ: standard deviation = 14.32

n: sample = 4

α: tail area = 1 - 0.9 = 0.1

Z_α/2 = Z_0.05: Z factor =  1.645

You replace these values and you obtain:

\(Z_{0.05}(\frac{14.32}{\sqrt{4}})=(1.645)(\frac{14.32}{\sqrt{4}})=11.778\)

The confidence interval will be:

\(CI=(82.64-11.778,82.64+11.778)=(70.861,94.418)\)

The 90% confidence interval is (70.861 , 94.418)

Answer:

x  = Y /m  −  p /m +8

Step-by-step explanation:

The length of DC is 26.1 cm.

The area of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and acronyms (csc).

Given:

BDC is a triangle and angles in a triangle sum up to 180° .

180 - 102° + 52°  = ∠BDC

180 - 154 = 26°

∠BDC = 26°

and, <ABD can be found same way since sum of interior angles in a triangle is 180°.

∠ABD  = 180 - 90 - 35

∠ABD = 55°

Using Trigonometry

sin 35° = opposite/hypotenuse

sin 35° = 12/BD

BD sin 35° = 12

BD = 12/sin 35°

BD = 12/0.57357643635

BD = 20.9213615475

BD ≈ 21 cm

Using sine formula

21/sin 52° = DC/sin 102°

DC sin 52° = 21 sin 102°

DC = 21 sin 102°/sin 52°

DC = 0.97814760073  × 21/0.7880107536

DC = 20.5410996154 /0.7880107536

DC = 26.0670295696

DC ≈ 26.1 cm(3 significant figures)

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Answer: 25% of 40 or 0.25 of 40 is 10.

Step-by-step explanation:

Basically you have to divide 40 by 10 because 1/4 of 100 is 25. 25 is 1/4 of 100.

So knowing this 40/0.25 is equal to 10. This is why 0.25 of 40 is 10.

Answer:

5.5

Step-by-step explanation:

area of triangle: 4.5

area of square: 1

Answer: 5.5in

Step-by-step explanation:

Square is 1

Triangle is 4.5

1+4.5=5.5

AREA IS 5.5

The side b is approximately 80.02 feet in length. In a right triangle ABC with angle C equal to 90°, if angle B is 37.56° and side a is 49.94 feet, we can solve for side b using the trigonometric function sine.

First, we can label the triangle as follows:

Side a is opposite angle A,

Side b is opposite angle B,

Side c is the hypotenuse.

Let's label the triangle with the given and asked for information. Angle C is the right angle, angle B is 37.56°, side a is 49.94 feet, and side b is the side we are trying to find.

Using the sine function, we have:

sin(B) = opposite/hypotenuse

sin(37.56°) = a/b

Now we can substitute the known values:

sin(37.56°) = 49.94/b

To solve for b, we rearrange the equation:

b = 49.94 / sin(37.56°)

Using a calculator, we find:

b ≈ 80.02 feet.

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