g count the worst-case number of operations performed by the following pseudocode segment. assume that all possible data sets are equally likely. preconditions: x

Answer:

-7/12

Step-by-step explanation:

Answer:

-0.58333333333 that's what i got

Step-by-step explanation:

The restrictions on the width is that it must be between 14.1 yards and 17.3 yards

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

Area = between 240 yd² and 360 yd²

Also, we have

Length = 1.2 times the width

This means that

l = 1.2w

The area is then calculated as

Area = lw

So, we have

Area = 1.2w²

This means that

240 < 1.2w² < 360

Divide through by 1.2

200 < w² < 300

Take the square roots

14.14 < w < 17.32

Approximate

14.1 < w < 17.3

Hence, the width must be between 14.1 yards and 17.3 yards

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The product of given numbers is 384400.

Multiplication is an operation that represents the basic idea of repeated addition of the same number. The numbers that are multiplied are called the factors and the result that is obtained after the multiplication of two or more numbers is known as the product of those numbers.

Given that, the moon is in an orbit around the earth, and the length of this

orbit is 3.844×100,000 kilometers.

Here, 3.844 multiplied by 1 we get 3.844

When multiplying decimals by 100000, the digits shift five places to the left.

That is, 384400.0

Therefore, the product of given numbers is 384400.

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Answer

D.

Explanation

mIH = 44

mIJ = 46

mJK = 77

ADDING THEM ALL TO FIND THE MEASURE OF m<HOK

<HOK = 44+46+77

<HOK = 167°

Answer:

9

Step-by-step explanation:

15 / 5/3 = 15 x 3/5=9

Because a negative numebr divided by a negative number is always positive.

Answer:

9

Step-by-step explanation:

The area of a triangle is

Therefore the formula for a rectangle triangle is

Then applying the formula we get

The area of the traingle is 12 cm^2, the correct answer is the letter B

Answer:

8 strawberries and 2 blueberries

Step-by-step explanation:

Answer:

m=25/28

Step-by-step explanation:

Answer:
-328

Step-by-step explanation:

Simply use BODMAS or BIDMAS; this is the order of your operations. It is an acronym that tells you what to do in what order

Brackets: there are no brackets, move on to indices/order

Indices/Order: for the first step, do 5^2, which is 25, and √49, which is 7. The equation is no 12-5*9(7)-25

Division/Multiplication: For this step, multiply 5, 9 and 7 to get 315. The equation is now 12-315-25

Addition/subtraction: For the final step, just solve 12-315-25 in the traditional left to right way, which is -328.

I have grouped addition and subtraction as well as division and multiplication together because they are done at the same time; if a question has either both addition and subtraction or division and multiplication, just solve these parts from left to right. Division is not superior to multiplication and, likewise, addition is not above subtraction.

Step-by-step explanation:

\(13 \frac{1}{8} \)

is the required answer

Answer:25 in^2

Step-by-step explanation:

d1=10 d2=5

area of rhombus=( d1 x d2)/2

Area of rhombus=(10x5)/2

area of rhombus=50/2

Area of rhombus=25 in^2

Answer:

176

Step-by-step explanation

1/4*320= 80

20%=1/5

1/5*320=64

64+80=144

320-144

For given triangle, x is 4√5 using Pythagorean theorem.

What is Pythagorean Theorem?

Pythagoras Theorem (also known as Pythagorean Theorem) is a mathematical concept that explains the relationship between the sides of a right-angled triangle. The sides of a right triangle are also referred to as Pythagorean triples. This theorem's formula and proof are discussed with examples here.

The Pythagorean theorem is used to calculate the length of an unknown side and the angle of a triangle. We can deduce the base, perpendicular, and hypotenuse formulae from this theorem.

The Pythagoras Theorem formula is presented in the definition as:

Perpendicular² + Base² = Hypotenuse²

c² = a² + b²

Now,

Given that perpendicular =19

Hypotenuse=21

then Base²=21²-19²  using Pythagoras theorem

Base=√441-361

=√80

=4√5

Hence,

          x is 4√5

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The predicted number of principals in attendance at the conference can be 161

A ratio in mathematics is a comparison of two or more numbers that shows how big one is in comparison to the other. The dividend or number being divided is referred to as the antecedent, while the divisor or number that is dividing is referred to as the consequent.

Given that,

A recent conference had 850 people in attendance.

In one exhibit room of 60 people, there were 46 teachers and 14 principals.

The predicated number of principals = ?

The ratio of teachers to principals  = 60/14

                                                          = 30/7

In the same ratio there will be total teachers and principals:

Suppose, the number of teachers = x

the number of principals = y

x + y = 850

x/y = 30/7

x = (30/7)y

(30/7)y + y = 850

37y = 850 x 7

y  = 161 (approx)

Hence, the number of principals cab be 161

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Answer:

D

Step-by-step explanation:

There were about 198 principals in attendance. EZ

Answer:

what do u mean?

Step-by-step explanation:

Answer:

the product is 1.32057606543E32

The calculated volume of the prism is 702 cubic cm

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

The trapezoidal prism (see attachment)

The formula of the volume of a trapezoidal prism is

Volume = Base area * Height

Where we have

Base area = 1/2 * (8 + 10) * 6

Evaluate the sum of 8 and 10

Base area = 1/2 * 18 * 6

Evaluate the products of 1/2, 18 and 6

Base area = 54

Also, we have

Height = 13

So, the volume is calculated as

volume = 13 * 54

Evaluate

volume = 702

Hence, the volume of the prism is 702 cubic cm

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Bence cevap C diye düşünüyorum çünkü trafik levhası kaza yapmayalım diye bizi uyarır, yaya ve araçların olduğu yollarda, trafik düzeninin sağlayan önemli gereçlerdir. Bu levhalar sayesinde kargaşalar engellenmekte, can ve mal güvenliği de korunmaktadır.

Answer:

85°

Step-by-step explanation:

The two angles are known as vertical angles, which are always congruent

Answer:

∠DEB = 85°

Step-by-step explanation:

Vertical Angle Theorem

When two straight lines intersect, they form two pairs of angles.  The vertically opposite (non-adjacent) angles are congruent.

Angles AEC and DEB are vertically opposite angles, therefore:

∠AEC = ∠DEB

As ∠AEC = 85° then ∠DEB = 85° also.

The length of the third side is 14.4 units.

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

We find the third side of a triangle by using Pythagoras theorem.

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides

8²+12²=x²

64+144=x²

208=x²

Take square root on both sides

x=14.4

Hence, the length of the third side is 14.4 units.

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Answer:

8.92 * 10^10

Step-by-step explanation:

1. Convert to decimal notation

\(8.92*10^6\)

The exponent is 6, making it 10 to the power of 6. As the exponent is positive, the solution is a number greater than the origin or base number. To find our answer, we move the decimal to the right 6 time(s):

8.92 -> \(8920000\)

2. Final result

\(8920000\)

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10.  If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

8.92 * 10^10

----------------------------------------------

Scientific notation, or standard form, makes things easier when working with very small or very big numbers, both of which come up frequently in the fields of science and engineering. It is used in science, for example, to convey the mass of the heavenly bodies: Jupiter’s mass is \(1.898*10^{27}\)kg, which is easier to comprehend than writing the number 1,898 followed by 24 zeroes. Scientific notation also makes solving problems that use such high or low numbers more straightforward.

---------------------------------------------

Scientific notation is also referred to as scientific form or standard index form, or in the UK, standard form.

Answer:

Step-by-step explanation:

5 nights

The family have to stay 5 nights in order  to cost the same amount of money.

Let us consider that family is staying for x night.

Given that, Option A costs $479 per night and includes airfare in the cost.

So that,         \(A(x)=479x\)

Also Option B costs $129 per night but will cost your family $1750 in airfare.

So that,      \(B(x)=129x+1750\)

for the cost of same amount of money,

              \(A(x)=B(x)\\\\479x=129x+1750\\\\479x-129x=1750\\\\350x=1750\\\\x=1750/350=5\)

The family have to stay 5 nights in order  to cost the same amount of money.

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a. Histogram shows tip amounts ranging between $6 and $25, skewed to the right with a longer tail of higher tips.

b. Increasing the $8 tip to $18 would increase the mean since total tip amount increases by $10 spread out over 60 customers. Median won't be affected since changing one value does not alter the middle value.

a. The histogram shows that Elizabeth received a range of tip amounts, with the majority of tips falling between $6 and $25. The distribution is skewed to the right, with a longer tail of higher tip amounts.

b. i. The mean would increase because the total tip amount would increase by $10, and this increase would be spread out over the 60 customers.

ii. The median would not be affected because it is the middle value when the data is ordered, and changing one value does not change the middle value.

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The area under the given curve is 77/60. SO the option B is correct.

In the given question we have to estimate the area under the curve given the following fuction, interval, and number of subintervals using the right endpoint method.

The given function is

F(x) = 1/x; [1,5]; n=4

The given options are:

A≈77/240

A≈77/60

A≈77/15

A≈25/3

A≈25/12

Since, f(x) =1/x

∆x = (b-a)/n

∆x = (5-1)/4

∆x =4/4

∆x = 1

Now the table is

x               1            2            3            4            5

f(x)            1            1/2          1/3         1/4          1/5

R(4) = [f(2)+f(3)+f(4)+f(5)]∆x

R(4) = [1/2+1/3+1/4+1/5]1

R(4) = (30+20+15+12)/60

R(4) = 77/60

Hence, the area under the given curve is 77/60. SO the option B is correct.

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The right question is given below:

Given :

Two similar triangle.

To Find :

The ratio of the area of triangle abc to the area of triangle edc.

Solution :

 ΔABC ~ ΔAPQ  (AA criterion for similar triangles)

Since both the triangles are similar, using the theorem for areas of similar triangles we have :

\(\dfrac{Area \ of \ \Delta ABC}{Area \ of \ \Delta EDC} = \dfrac{AC}{EC}\\\\\dfrac{Area \ of \ \Delta ABC}{Area \ of \ \Delta EDC} = \dfrac{20+8}{20}\\\\\dfrac{Area \ of \ \Delta ABC}{Area \ of \ \Delta EDC} = 1.4\)

Therefore, ratio of area of triangle is 1.4 .

Answer: Keisha can run faster than Stephan.

Step-by-step explanation:

Let's figure out how long it takes for them to run a mile.

\(\frac{15.75}{3} =5.25\\\frac{3}{3} = 1\)

It would take Stephan 5.25 minutes to run a mile

\(\frac{22.6}{5} =4.52\\\\\frac{5}{5} =1\)

It would take Keisha 4.52 minutes to run a mile

Since Keisha takes less time to run a mile she is faster.

Answer:

Keisha can run faster

Step-by-step explanation:

Stephan can run

3 miles in 15.75 min.

so divide  15.75 by 3 min which would give you:

5.25 mi.

Now Keisha can run

 5 miles in226 min  

now divide 22.6 by 5 min which would give you

4.52 min

so that means Stephan can run faster then Keisha since 4.52<5.25

Keisha can run faster, since  4.52<5.25

In the cylinder , height of the water tank is 5.5 feet.

What is volume?

The space taken up by any three-dimensional solid constitutes a volume, to put it simply. A cube, cuboid, cone, cylinder, or sphere can be one of these solids. Cubic units are used to measure the volume of solids. The volume will be given in cubic metres, for instance, if the dimensions are given in metres.

Given that,

A cubic foot contains roughly 7.48 liquid gallons.

We have to find what is roughly the height of a cylindrical water tank with a capacity of 1,500 liquid gallons and a radius of 3.4 feet.

We know that,

7.48 liquid gallons are contained in one cubic foot.

The cylindrical water tank's radius is 3.4 feet.

1,500 liquid gallons are the maximum capacity.

The cylindrical water tank's volume is calculated to hold 1500 liquid gallons ,

= \(\frac{1500}{7.48}\)

= 200.53 ft³

Volume of the cylinder= πr²h

=> 200.53= 3.14 ×3.4×3.4×h

=> 200.53 = 3.14 × 11.56 × h

=> 200.53 = 36.29 × h

=> h= 5.5

=> h= 5.5 feet (Approximately)

Therefore, height of the water tank is 5.5 feet.

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The value of the payment that will settle the debt at the end of month six is R251,424.81

Which amount of debt needs to be compounded forward?

The only amount of debt which needs to be compounded forward , I mean that its future equivalent amount needs to be determined is the debt due now, over a period of 6 months it would earn

FV=PV*(1+r/m)^N

FV=future value of debt due in 6 months=unknown

PV=present value=debt due now=R200 000.00

r=annual interest rate=9.5%

m=number of compounding per year=4(4 quarters in a year)

N=number of quarters that payment needs to be delayed=2(2 quarters=6months)

FV=200,000*(1+9.5%/4)^(2)

FV= R209,612.81

Single payment=FV of debt due now+ amount due in six months

Single payment=209,612.81+41 812.00

single payment=R251,424.81

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