What is the chord length (C) between PC and P?

Answer:

m < -18/19

Step-by-step explanation:

8m + 95 < -87 m +5

Add 87m to each side

8m+87m + 95 < -87 m+87m +5

95m + 95 < 5

Subtract 95 from each side

95m + 95-95 <  5-95

95m < -90

Divide each side by 95

95m/95 < -90/95

m < -18/19

Answer:

Step-by-step explanation:

8m +95 < -87m +5

8m +87m < 5-95

95m < -90

m < -90/95

m < -18/ 19

Answer:

Step-by-step explanation:

The Probability of Landing a heads is (1/2)

Now, to find the probability of landing it five times in a row, it is

1/2 x 1/2 x 1/2 x 1/2 x 1/2

( 1/2 is multiplied to the number of times to get a head )

The final answer will be,

Probability of landing heads 5 times in a row = 1/32

John needs to make an annual beginning-of-the-year payment of approximately $369,238.68 to fund the estimated college costs of $196,000 in 10 years, given the after-tax rate of return of 8.65% compounded annually.

To compute the annual beginning-of-the-year payment necessary to fund the estimated college costs, we can use the present value of an annuity formula.

The present value of an annuity formula is given by:

P = A * [(1 - (1 + r)^(-n)) / r],

where P is the present value, A is the annual payment, r is the interest rate per period, and n is the number of periods.

In this case, John wants to accumulate $196,000 in 10 years, and the interest rate he can earn is 8.65% compounded annually. Therefore, we can substitute the given values into the formula and solve for A:

196,000 = A * [(1 - (1 + 0.0865)^(-10)) / 0.0865].

Simplifying the expression inside the brackets:

196,000 = A * (1 - 0.469091).

196,000 = A * 0.530909.

Dividing both sides by 0.530909:

A = 196,000 / 0.530909.

A ≈ 369,238.68.

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Answer:

\(\huge\boxed{\sf Area\ of \ Semicircle = 56.55 \ units^2}\)

Step-by-step explanation:

Diameter = 12

Radius = 12/2 = 6

\(\sf Area\ of \ Semicircle =\frac{\pi r^2}{2} \\Area\ of \ Semicircle =\frac{\pi (6)^2}{2} \\Area \ of \ Semicircle = \frac{\pi (36)}{2}\\ Area \ of \ Semicircle = 18 \ pi\)

\(\sf Area\ of \ Semicircle = 56.55 \ units^2\)

Answer:

18π units²

Step-by-step explanation:

(see attached for reference)

Recall that the area of a whole circle is given by:

A = (π/4) D²,

where D is the diameter of the circle.

We know that the area of a semi-circle is half the area of a whole circle.

Therefore,

Area of Semi Circle

= (1/2) x area of whole circle

= (1/2) x (π/4) D²     (Substitute D = 12 units)

= (1/2) x (π/4) (12)²  

= 18π units²

This statement ''The proportion in the body of a normal distribution can never be less than 0.50.'' is false because the proportion in the body of a normal distribution can be less than 0.50, depending on the location of the mean and the spread of the distribution.

In fact, for a normal distribution with a mean of μ and standard deviation of σ, approximately 68% of the area under the curve falls within one standard deviation of the mean (i.e., between μ - σ and μ + σ), which means the proportion in the body of the distribution is about 0.68.

The remaining 32% is split evenly between the tails of the distribution, which means the proportion in each tail is about 0.16.

So, the proportion in the body of the distribution is greater than 0.50.

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When a decision variable is not allowed to have fractional values, it is called an integer decision variable.

In the field of mathematics, unknown information that we see in a problem is referred to as an integer decision variable. The integer decision variable is an integer that needs to be found out.

An integer decision variable will not be a fractional value as an integer decision variable is an integer.

Hence, such a decision variable that is not allowed to have fractional values will be an integer decision variable.

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Question:

Look at the picture of a scaffold used to support construction workers. The height of the scaffold can be changed by adjusting two slanting rods, one of which, labeled PR, is shown: Part A: What is the approximate length of rod PR? Round your answer to the nearest hundredth. Explain how you found your answer stating the theorem you used. Show all your work. (5 points)

B) The length of rod PR is adjusted to 16 feet. If width PQ remains the same, what is the approximate new height QR of the scaffold? Round your answer to the nearest hundredth.

Answer:

A) 16.64 Feets

B) 7.65 feets

Step-by-step explanation:

Given the following :

The question above can be solved by applying Pythagoras rule :

A^2 = B^2 + C^2

PR² = PQ² + QR²

PR² = 14² + 9²

PR² = 196 + 81

PR = √277

PR = 16.64feet

Now if PR is adjusted to 16 Feets, the New height of the scaffold will be:

QR² = PR² - PQ²

QR² = 16² - 14²

QR² = 256 - 196

QR² = 60

Take the Square root of both sides

QR = √60

QR = 7.7459666 Feets

Answer:

11 times (9x)

Step-by-step explanation:

Answer:

9.8ft

Step-by-step explanation:

We are told in the question that Mrs Drew wants to build a sand box for her children. The shape is Square.

The formula for the Area of a square = L²

L = Side length

The area of the sandbox will be 97 ft.²

Hence,

97ft² = L²

Squareroot both sides

√97ft² = √L²

L = 9.8488578018 ft

Approximately to the nearest tenth (10th) = 9.8 ft

Therefore, the total length of wood mystery needed to make the sides of the sandbox is 9.8ft

Option D

The given expression is:

Simplify the numerator:

Simplify the denominator:

The complete expression becomes:

Answer:

x = 3 1/4

Step-by-step explanation:

4x - 10 = 3

   +10     +10

4x = 13

/4     /4

x = 3 1/4

  or

x = 3.25

Hope this helps!

Answer:

1.) x=61 2.) c=62

Step-by-step explanation:

Answer:

x=61    c=62

Step-by-step explanation:

1)multiply both sides by seven

56=x-5 add 5 to both sides

61=x

2) multiply both sides by -3

63=c+1 subtract one from both sides

c=62

Distributive Property is factors a common term by the items that are inside parenthesis.

3(2x + 5)

3 = Factor

3(2x + 5)

2x and 5 = terms

3(2x + 5)

2 = coefficient

The coefficient is the number before the variable.

Ace

Answer: 7.58 years

Step-by-step explanation:

When it comes to finding out how long it will take for an investment to double, one can use the Rule of 72.

The Rule of 72 estimates the amount of time it will take to double an investment when you divide 72 by the interest rate:

= 72 / r

= 72 / 9.5

= 7.58 years

Answer:  Follow these exact answers

A C D B A D

Step-by-step explanation: Here is a joke to make you laugh if I'm wrong: What do you call an IT teacher who touches up his students? A PDF file

Answer:

B

Step-by-step explanation:

Because parrallel means they will never intersect so there for i got B. Hope i was helpful.

Answer:

2

Step-by-step explanation:

Answer:

What ismthe question lol

━━━━━━━☆☆━━━━━━━

▹ Answer

435.20 square cm

▹ Step-by-Step Explanation

Diameter = 12

Radius = 1/2d

Radius = 1/2 * 12

Radius = 6

A = πr(r +√h² + r²) =

A = π · 6·(6 + √16²+6²)

≈ 435.19869 → 435.20 square cm

Hope this helps!

CloutAnswers ❁

━━━━━━━☆☆━━━━━━━

Answer:

Hope that answers your question

Answer: It will take just 1 hour & 36 minutes with 4 large pumps & 4 small pumps

Step-by-step explanation:

Yes, the loudness L of a sound of intensity I is defined as:

L = 10 log(I/Io)

where Lo is the minimum intensity detectable by the human ear (also known as the threshold of hearing) and L is the loudness measured in decibels (dB).

In this equation, the intensity I is typically measured in watts per square meter (W/m^2), and Io is equal to 1 x 10^-12 W/m^2.

The logarithmic scale used in this equation means that each increase of 10 decibels represents a tenfold increase in sound intensity. For example, a sound that is 50 dB louder than another sound has an intensity that is 10 times greater.

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60% gross margin means they increase by the price by 60%

Multiply the purchase price by 1 + the gross margin:

16 x (1 + 0.60) = 16 x 1.60 = 25.60

The sticker price is $25.60

Therefore, the future value of a three-year uneven cash flow given below, using an 11% discount rate is $1,238.82.

To calculate the future value of a three-year uneven cash flow given below, using an 11% discount rate, we need to use the formula;

Future value of uneven cash flow = cash flow at year 1/(1+discount rate)¹ + cash flow at year 2/(1+discount rate)² + cash flow at year 3/(1+discount rate)³ + cash flow at year 4/(1+discount rate)⁴

Given the cash flows;

Year 0: $0

Year 1: $600

Year 2: $500

Year 3: $400

Then the Future value of uneven cash flow

= $600/(1+0.11)¹ + $500/(1+0.11)² + $400/(1+0.11)³

= $600/1.11 + $500/1.23 + $400/1.36

=$540.54 + $405.28 + $293.00

=$1,238.82

Therefore, the future value of a three-year uneven cash flow given below, using an 11% discount rate is $1,238.82.

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The probability of at most six individuals in the sample having used a discount broker is calculated to be approximately 0.997.

To solve this problem, we need to use the binomial distribution formula. Let X be the number of individuals in the sample who have used a discount broker. Then, X follows a binomial distribution with parameters n = 9 and p = 0.3.

The probability of at most six individuals in the sample having used a discount broker can be calculated as follows:

P(X ≤ 6) = P(X = 0) + P(X = 1) + P(X = 2) + ... + P(X = 6)

Using a binomial probability table or calculator, we can find the individual probabilities and sum them up. Alternatively, we can use a normal approximation to the binomial distribution if the sample size is large enough (np and n(1-p) are both greater than 5).

Using the normal approximation, we have:

mean = np = 9 x 0.3 = 2.7

variance = np(1-p) = 9 x 0.3 x 0.7 = 1.89

standard deviation = √(variance) = 1.374

To standardize the distribution, we calculate the z-score:

z = (6.5 - 2.7) / 1.374 = 2.75

Using a standard normal distribution table or calculator, we find that the probability of a z-score less than or equal to 2.75 is approximately 0.997.

Therefore, the probability of at most six individuals in the sample having used a discount broker is approximately 0.997.

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The complete question is :

What is the probability that in a random sample of nine individual investors, at most six have used a discount broker, given that the American Society of Investors survey found that 30% of individual investors have used a discount broker?

Rodger's weekly unemployment amount is $697.54

What is the total of the quarterly wages of two consecutive quarters?

The total of the of the quarterly wages of two consecutive quarters is the sum of first quarter and second quarter wages

total of quarterly wages=$13,950.80+$13,950.80

total of quarterly wages=$27,901.60

unemployment compensation=total of quarterly wages/26

unemployment compensation=$27,901.60 /26

unemployment compensation=$1,073.14

The weekly unemployment amount is 65% of Rodger's state, unemployment compensation

weekly unemployment=65%*$1,073.14

weekly unemployment=$697.54

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Answer:

x=2, y=21

Step-by-step explanation:

there are two methods: substiution and elimation. I will be doing subtistution in this soultion:

first isolate y in either equation, it would be easier to do it in the second one.

y= 11+5x

Then, subtitute that into the first equation

2(11+5x)+8x=58 (it says 2y+8x+58 but I assume you mean 2y+8x=58?)

22+10x+8x=58

18x = 36

x=2

substitute that back into y = 11+5x, to get y=11+10 = 21

A prime number is a natural number greater than 1 that is not a product of two smaller natural numbers. A prime number can only be divided evenly by 1 and itself.

To find the multiples of a prime number, you can use the following steps:

For example, if the prime number is 5, the multiples of 5 are 5, 10, 15, 20, 25, and so on.

It's important to note that a prime number only has two divisors: 1 and itself. This means that a multiple of a prime number will never be a prime number.

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