The height of three basketball players is 210 cm, 220 cm and 191 cm.
What is their average height?

Answer:

-3.75

-0.55

-0.5

-0.3

-0.2

Step-by-step explanation:

-3% = -0.3

-1/2 = -0.5

-1/5 = -0.2

-3.75

-0.55

Given that 1 kilometer = 0.62 mile, 36 inches = 1 yard, and 1 mile = 1760 yards, 1 km has approximately 39,283.2 inches.

In mathematics, conversion is the process of changing the value of one form or unit to another. It can be changing ones unit of length, weight, volume or even currency to another.

A conversion factor is a number used to change one set of units to another, either by multiplying or dividing.

From the problem, the conversion factors are given as

1 kilometer = 0.62 mile

36 inches = 1 yard

1 mile = 1760 yards

To convert 1 kilometer into inches, first, convert 1 kilometer to miles using the conversion factor, 1 kilometer = 0.62 mile

1 km = 0.62 miles

Then, convert miles to yards using the conversion factor, 1 mile = 1760 yards

1 km = 0.62 miles = 0.62 (1760 yards)

1 km = 0.62 miles = 1091.2 yards

Lastly, convert yards to inches using the conversion factor, 36 inches = 1 yard

1 km = 0.62 miles = 1091.2 yards = 1091.2 (36 inches)

1 km = 0.62 miles = 1091.2 yards = 39,283.2 inches

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Answer:

1

Step-by-step explanation:

7+1

=8

8*2

=16

Answer:  5 years

==========================================

Work Shown:

\(A = P*(1+r/n)^{n*t}\\\\10,000 = 7500*(1+0.06/1)^{1*t}\\\\10,000/7500 = (1.06)^{t}\\\\1.33333 \approx (1.06)^{t}\\\\\text{Log}(1.33333) \approx \text{Log}\left((1.06)^{t}\right)\\\\\text{Log}(1.33333) \approx t*\text{Log}(1.06)\\\\t \approx \frac{\text{Log}(1.33333)}{\text{Log}(1.06)}\\\\t \approx 4.937\)

The first equation shown is the compound interest formula. I'm assuming that the bank is compounding annually (which means n = 1).

Whenever we have an exponent we want to solve for, we'll involve logs. A good phrase to remember is "If the exponent is in the trees, then log it down".

It takes approximately t = 4.937 years for the £7500 to become £10,000.

Round up to the nearest year to get t = 5 so we ensure that Brian has more than £10,000.

Answer:

\( \frac{ {x}^{ - 2} {y}^{ \frac{1}{2} } }{ \sqrt{36x {y}^{2} } } = \frac{ \sqrt{y} }{ {x}^{2} \sqrt{36x {y}^{2} } } = \frac{ \sqrt{y} }{6 {x}^{2}y \sqrt{x} } = \frac{1}{6 {x}^{ \frac{5}{2} } {y}^{ \frac{1}{2} } } = \frac{1}{6} {x}^{ - \frac{5}{2} } {y}^{ - \frac{1}{2} } \)

\( \frac{1}{6} \times - \frac{5}{2} \times - \frac{1}{2} = \frac{5}{24} \)

Hey there! :)

Answer:

x = -6.

Step-by-step explanation:

Given:

\(\sqrt[3]{5x-4} = \sqrt[3]{7x + 8}\)

Cube both sides:

5x - 4 = 7x + 8

Subtract 5x from both sides:

-4 = 2x + 8

Subtract 8 from both sides:

-12 = 2x

x = -6.

The expression of the nth term of the given sequence is

-7.7 + (n - 1)0.3

It is a sequence where the difference between each consecutive term is the same.

Example:

2, 4, 6, 8, 10 is an arithmetic sequence.

We have,

-7.7, -7.4, -7.1, -6.8, -6.5

This is an arithmetic sequence.

Now,

a = -7.7

d = -7.4 + 7.7 = 0.3

The nth term of an arithmetic sequence.

= a + (n - a)d

Now,

a + (n - a)d

= -7.7 + (n - 1)0.3

Thus,

The nth term is -7.7 + (n - 1)0.3.

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The decrease in diameter of the bar due to the applied load is -0.005434905d and the final diameter of the bar is 1.005434905d.

A compressive load of 80,000 lb is applied to a bar with a circular section of 0.75 in diameter and a length of 10 in.

if the modulus of elasticity of the bar material is 10,000 ksi and the Poisson's ratio is 0.3.

We have to determine the decrease in diameter of the bar due to the applied load.

Let d be the initial diameter of the bar and ∆d be the decrease in diameter of the bar due to the applied load, then the final diameter of the bar is d - ∆d.

Length of the bar, L = 10 in

Cross-sectional area of the bar, A = πd²/4 = π(0.75)²/4 = 0.4418 in²

Stress produced by the applied load,σ = P/A

= 80,000/0.4418

= 181163.5 psi

Young's modulus of elasticity, E = 10,000 ksi

Poisson's ratio, ν = 0.3

The longitudinal strain produced in the bar, ɛ = σ/E

= 181163.5/10,000,000

= 0.01811635

The lateral strain produced in the bar, υ = νɛ

= 0.3 × 0.01811635

= 0.005434905'

The decrease in diameter of the bar due to the applied load, ∆d/d = -υ

= -0.005434905∆d

= -0.005434905d

The final diameter of the bar,

d - ∆d = d + 0.005434905d

= 1.005434905d

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Answer:

70

Step-by-step explanation:

I would do 40 + 30 = 70

180-70 = 110

110 is the last angle bc all angles add to 180 in a triangle

Then 180 - 110 = 70 for angle 1 because their supplementary

I don't know if you could just add the 2 inside angles but I would do it this way to be safe until I know for sure.

There is a 96% customer retention rate for the third quarter.

Given

Jenny owns a salon.

She had 150 customers at the end of the third quarter, 151 customers at the beginning of the third quarter, and five new customers in the third quarter.

It determines the percentage of customers that the company has retained over a given period.

The customer retention rate is determined by;

\(\rm Customer\ retention\ rate=\dfrac{Given \ period - New \ customers}{Initial \ number}\times 100\)

Substitute all the values in the formula;

\(\rm Customer\ retention\ rate=\dfrac{Given \ period - New \ customers}{Initial \ number}\times 100\\\\\rm Customer\ retention\ rate=\dfrac{150-5}{151}\times 100\\\\\rm Customer\ retention\ rate=\dfrac{145}{151}\times 100\\\\\rm Customer\ retention\ rate=0.96 times 100\\\\\rm Customer\ retention\ rate=96 \ percent\)

Hence, there is a 96% customer retention rate for the third quarter.

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The probability that Sue will sit next to Bob is 96/24 = 4. So, the odds are 4:1.

We need to find out the odds that Sue will sit next to Bob. There is a round table with five different people. Therefore, the total number of ways that five different people can be seated at a round table is (5 - 1)! = 4!.

Thus, there are 24 ways that these five different people can be seated around the table. Now, let's say Sue and Bob are sitting next to each other. Thus, there are 4! = 24 ways in which they can be seated around the table. Now, Sue and Bob can be treated as a single unit since they are sitting together. So, there are a total of 48 + 48 = 96 possible ways that Sue will sit next to Bob in a 5 person round table. There are 24 possible ways that 5 people can be seated around the table.

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Answer:

domain all real numbers

range all real numbers

the cost of his monthly cable is $40.50 when you plug in 4

a) The null hypothesis H sub 0 is that the mean time for the mice to complete the maze with the loud noise is equal to 18 seconds, or H sub 0: µ = 18. The alternative hypothesis H sub a is that the mean time for the mice to complete the maze with the loud noise is less than 18 seconds, or H sub a: µ < 18. A Type I error would occur if the researcher rejects the null hypothesis and concludes that the loud noise causes the mice to complete the maze faster when in fact it does not. A Type II error would occur if the researcher fails to reject the null hypothesis and concludes that the loud noise does not cause the mice to complete the maze faster when in fact it does.

b) The null hypothesis H sub 0 is that the mean score for the teaching assistant's students is equal to 50, or H sub 0: µ = 50. The alternative hypothesis H sub a is that the mean score for the teaching assistant's students is greater than 50, or H sub a: µ > 50. A Type I error would occur if the teaching assistant rejects the null hypothesis and concludes that his students have a higher mean score than the class as a whole when in fact they do not. A Type II error would occur if the teaching assistant fails to reject the null hypothesis and concludes that his students do not have a higher mean score than the class as a whole when in fact they do.

c) The null hypothesis H sub 0 is that the mean percent of total spending on housing for households in the Cleveland metropolitan area is equal to 31%, or H sub 0: µ = 31%. The alternative hypothesis H sub a is that the mean percent of total spending on housing for households in the Cleveland metropolitan area is not equal to 31%, or H sub a: µ ≠ 31%. A Type I error would occur if the homebuilders association rejects the null hypothesis and concludes that the national finding does not apply in their area when in fact it does. A Type II error would occur if the homebuilders association fails to reject the null hypothesis and concludes that the national finding does apply in their area when in fact it does not.

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Solution

Step 1

Find the weight of one ball

From the question, each hundredth block represents a whole, therefore ken will shade

3 col

The formula for estimating the bending allowance is represented as follows:

Bending allowance = Kba x T x ((π/180) x R + Kf x T)

Where,Kba is the bending allowance coefficient

T is the sheet thickness

R is the bending radius

Kf is the factor for springback

π is the mathematical constant “pi”.

The Kba value of 0.33 and 0.50 is interpreted as follows:If the bending allowance coefficient (Kba) has a value of 0.33, then it means that the bending angle is less than 90 degrees and the sheet thickness is between 0.8 mm to 3 mm.

If the bending angle is more than 90 degrees, then the value of Kba will change to 0.50.The value of Kba determines the amount by which the sheet metal is stretched while it is bent.

If the sheet metal is stretched too much during bending, it may crack or tear. Hence, Kba is important as it enables the calculation of the required bending allowance, ensuring that the bending process does not cause any damage to the sheet metal.

The factor for springback (Kf) is multiplied by the thickness (T) and the bending radius (R) in the formula, and it indicates the amount of springback that will occur during the bending process.

The value of Kf depends on the material properties and the bending angle.

Therefore, it is necessary to choose the correct value of Kf based on the material properties and the bending angle.

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Answer:

Step-by-step explanation:

(-2g+7)-(g+11)

-2g+7-g-11

-3g-4

selling price: 1,1x

since x 10% more than the full value (100%)

so, 110/100 . x = 1,1x

The expression which represents the selling price of the pen is

y = 1.1x  or \(selling\ price = 1.1\ cost\ price\).

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

A profit occurs when you sell something. for more than it cost.

Let x represents the cost price of the pens and y represents the selling price.

According to the question.

Judd sell the pens for 10% profit.

Now,

Profit = 10% of cost price

\(\implies profit = \frac{10}{100} \times x \\\implies Profit = 0.1x\)

Therefore, the expression for the selling price of the pen is given by

\(y = cost\ price\ of\ pens + profit\\\implies y = x + 0.1x \\\implies y = 1.1x\)

Hence, the expression which represents the selling price of the pen is

y = 1.1x  or \(selling\ price = 1.1\ cost\ price\).

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The following probability which  is true: P(1.5 - .02 < X < 1.5 + .02) = 0.68 for the distribution of log-cell counts of red blood cells for women.

Given that the distribution of log-cell counts of red blood cells for women age 25-30 is approximately normally distributed with µ = 1.5 cells/microliter and σ = 0.1 cells/microliter.

In this, the probability of the Z score for a range is asked.

The value of Z is given by:

Z = (X - µ)/σZ

= (1.5 - 1.5)/0.1

= 0

In the Z table, the value of 0 is 0.5.

So, the following probability will be found:

P(1.5 - .02 < X < 1.5 + .02) = P(-0.2 < Z < 0.2)

We know that 0.2 value is in between 0 and 0.25 in the Z table.

P(1.5 - .02 < X < 1.5 + .02) = P(-0.2 < Z < 0.2)

= P(Z < 0.2) - P(Z < -0.2)

= 0.5793 - 0.4207

= 0.1586

≈ 0.16

Therefore, the option which is true is: P(1.5 - .02 < X < 1.5 + .02) = .68.

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Angle-Angle (AA) similarity postulate,  if two angles of one triangle are congruent to two angles of another, then the triangles are similar.

Similar triangles are the triangles that have corresponding sides in proportion to each other and corresponding angles equal to each other. Similar triangles look the same but the sizes can be different.

As per the diagram,

Triangles RPQ & RST are similar since

∠P = ∠S & ∠Q = ∠T

Side - side - side (SSS) similarity theorem - If the lengths of the corresponding sides of two triangles are proportional, then the triangles are similar.

Triangles RPQ & RST are similar since

RP/RS = RQ/RT = ST/PQ

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Answer:

Step-by-step explanation:

If 60cm is the outer diameter of the rim, then the rim without a tire would travel 188.50 (not 188.4) cm per revolution. There will of course be a tire, and the extra diameter of wheel+tire will increase the distance traveled by the bike. If e.g. the tire is 3cm from bead to outermost tread (and is properly inflated), then the extra circumference would be 2 x 3cm x pi = 18.850cm of distance traveled, for a total of just over 207.3 cm per revolution.

Answer:

32

Step-by-step explanation:

do the parentheses first basically 9-6=3

then multiply 3x6=18

then add 14+18=32

The rule of PEMDAS

PLEASE = Parentheses

EXCUSE = Exponents

MY DEAR = Multiplication/Division Left to Right

AUNT SALLY = Addition/Subtraction Left to Right

Answer:It means you would have spent $36 below zero and now you owe the bank some money

Step-by-step explanation:

Answer:

\(x = 6.6\) and \(DE = 16.2\)

Step-by-step explanation:

The question is incomplete as the attachment to solve segment DE is missing. However, see attached for complete question.

Given

\(\frac{5}{9}= \frac{9}{(2x+3)}\)

Required

Find x

Length of DE

To find x, we need to first simplify the given equation

\(\frac{5}{9}= \frac{9}{(2x+3)}\)

Multiply both sides by \(9(2x+3)\)

\(\frac{5}{9} * 9(2x + 3) = \frac{9}{(2x+3)} * 9(2x + 3)\)

\(5(2x + 3) = 9(9)\)

\(10x + 15 = 81\)

Subtract 15 from both sides

\(10x + 15 - 15 = 81 - 15\)

\(10x = 66\)

Divide both sides by 10

\(\frac{10x}{10} = \frac{66}{10}\)

\(x = \frac{66}{10}\)

\(x = 6.6\)

From the attached;

\(DE = 2x + 3\)

Substitute 6.6 for x

\(DE = 2(6.6) + 3\)

\(DE = 13.2 + 3\)

\(DE = 16.2\)

Hence \(x = 6.6\) and \(DE = 16.2\)

Answer: 6.6 for the first x

Length of DE is 16.2

Also these are correct!

Step-by-step explanation:

I just put it in

Answer:

1

Step-by-step explanation:

0.81666666666

Answer:

5/12+2/5

That is the answer as the real decimal is 0.81666 repeating

Step-by-step explanation:

Given: Graph of a function is given.

Required: To identify which equation would have real zero(s) corresponding to the x-intercept(s) of the graph.

Explanation: A function's zero(s) are represented on the graph as the x-intercept. Hence we need to solve the given equations for zero(s).

We put the equation equal to zero to solve for zero(s).

The first equation given is

Putting the equation, y=0 gives

The second equation given has no x-intercept.

The third equation has an x-intercept at

The last equation has an x-intercept at

Final Answer: Option A is correct.

Answer:

\(Rate = \$0.23\)   and    \(Rate = \$0.094\)

Step-by-step explanation:

Given

Sew-on logos

Cost = $2.30

Units = 10

Stick-on logos

Cost = $9.40

Units = 100

Required

Divide cost by units, in both cases

When we divide cost by units, it gives the unit rate.

i.e.

\(Rate = \frac{Cost}{Units}\)

FOR SEW-ON LOGOS

Substitute $2.30 for Cost and 10 for Units

\(Rate = \frac{\$2.30}{10}\)

\(Rate = \$0.23\)

FOR STICK-ON LOGOS

Substitute $9.40 for Cost and 100 for Units

\(Rate = \frac{\$9.40}{100}\)

\(Rate = \$0.094\)

Hence, the solution is

\(Rate = \$0.23\)   and    \(Rate = \$0.094\)

Using the tangent side from trigonometric ratio, the angle of depression is 86.6 degrees

The angle created between the line of sight to a location below the horizontal line and the horizontal line of sight is known as the angle of depression.

The angle of depression that the balloon makes with the launch pad can be calculated using the trigonometric ratio.

Data;

Since we have the opposite and adjacent side, we can use the tangent of the angle to find the angle of depression.

tanθ = opposite / adjacent

substituting the values into the formula

tan θ = 10000 / 600

tan θ = 100 / 6

tan θ = 16.666

θ = tan⁻¹(16.666)

θ = 86.6°

The angle of depression is 86.6°

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The book is opened to pages 11 and 12.

How to get the product of the page

x * (x + 1) = 132

Expanding the equation, we get:

x² + x = 132

To solve for x, we need to rewrite the equation as a quadratic equation:

x²+ x - 132 = 0

Now, we can factor the quadratic equation:

(x - 11)(x + 12) = 0

This equation has two solutions for x:

x = 11

x = -12

Since page numbers cannot be negative, we discard the second solution. Thus, the left-hand page number is 11, and the right-hand page number is 11 + 1 = 12.

So, the book is opened to pages 11 and 12.

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Answer:

150< x ≤ 250

Step-by-step explanation:

Couldn't be bothered