For the problem y=-(-x^2/2)-2x; [-3,1], find the value of c that satisfies the Mean Value Theorem.

Answer:

A

Step-by-step explanation:

Answer:

hy I am happy to help u

It's answer is

o.7x-1.4 =-3.5

0.7 × 7 - 1.4 = 3.5

3.5

so it's answer is 7

The equivalent decimal and mixed number for given letter C is,

⇒ C = 8.2 ; 8 2/10

We have to given that,

A number line is shown in image.

Since,

A number lines are the horizontal straight lines in which the integers are placed in equal intervals.

And, All the numbers in a sequence can be represented in a number line. This line extends indefinitely at both ends.

Now, By given number line,

Point C is two point left from point 8.

Hence, The point C is denoted as,

⇒ C = 8.2

⇒ C = 82/10

⇒ C = 8 2/10

Therefore, the equivalent decimal and mixed number for given letter C is,

⇒ C = 8.2 ; 8 2/10

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Answer:

4. 8/15

Step-by-step explanation:

I will do #4. For dividing fractions, you multiply them together and remember to flip the second one.

Example: Instead of 2/5 divided by 3/4, it would be (2/5)(4/3), which = 8/15. Multiply the 2 and the 4 to get 8, then multiply the 5 and the 3 to get 15.

Answer:

337.82  cm

Step-by-step explanation:

Santiago is 5 feet tall and 11 inches tall and Michael is 5 feet tall and 2 inches tall.

We need to find total height in cm.

1 inch = 2.54 cm

1 feet = 30.48 cm

5 feet 11 inches = 5(30.48) + 11(2.54)

= 180.34  cm

5 feet 2 inches = 5(30.48) + 2(2.54)

= 157.48 cm

Total height = Santiago's height + Michael's height

= 180.34  cm + 157.48 cm

= 337.82  cm

Hence, their total height is 337.82  cm.

Answer:

Step-by-step explanation:

4/mx

Answer:

No

Step-by-step explanation:

Given the following question

In order to prove if three lengths can create a triangle two of the three sides added together HAS to be greater than the third side.

\(a+b > c\)
\(1+10=11\)
\(11 < 20\)

Which means your answer is "no," the given sides cannot create a triangle for they do not pass the Triangle Inequality Theorem.

Hope this helps.

Solution:

We know that:

Verification:

Conclusion:

The given side lengths cannot be a triangle.

Answer:

V=1/3*pi*radius(to the power of two)*height

Answer: 14 in squared

Answer:

185 1/16

Step-by-step explanation:

Answer:

9 squares

Step-by-step explanation:

Anne bought a piece of ribbon = 7 over 9 m long = 63 m²

she used = 3 over 18 m = 54 m²

left = 9 m²

maximum number of squares she could form of 1 m = 9

Answer:

42

Step-by-step explanation:

Rectangle: A = 6 x 5 = 30

Triangle: A = 1/2(6 x 4) = 12

Area of figure: 30 + 12 = 42

a. Thus, the probability that a randomly selected house has a value less than $500,000 is 0.71

b.   the probability  that the mean value of the 40 houses is less than $500,000 is 0.9863

a. The mean of the distribution is given as $403,000 and the standard deviation is $278,000.

To estimate the probability that a randomly selected house  has a value less than $500,000:

P( x < 500,000)=P(x=0)+P(x=500)

=0.34+0.37+

=0.71

Thus, the probability that a randomly selected house has a value less than $500,000 is 0.71

b. -since 40 is larger than or equal to 30, we assume a normal distribution.

-The probability can therefore be calculated as:

P(x')=P( z < (x' -u)/σ.sqrt(n)))

P(z< (500-403)/(578sqrt(40)))

=P(z<2.2068)

=0.986336

Hence, the probability  that the mean value of the 40 houses is less than $500,000 is 0.9863

The complete question is -

a) Suppose one house from the city will be selected at random. Use the histogram to estimate the probability that the selected house is valued at less than $500,000. Show your work.

(b) Suppose a random sample of 40 houses are selected from the city. Estimate the probability that the mean value of the 40 houses is less than $500,000. Show your work.

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Answer:

number a should be half of 82 which is 41

for question b is two times 26 which is 52

Answer:

When the  sample size is  \(n_1 = 5\) ,

   \(P( X < 11) = 0.9875\)

When the  sample size is  \(n_2 = 6\) ,

   \(P( X < 11) = 0.993\)

Step-by-step explanation:

From the question we are told that

  The mean is  \(\mu = 9 \ min\)  

   The standard deviation is \(\sigma = 2 \ min\)

    The first sample size is  \(n_1 = 5\)

    The second sample size is  \(n_2 = 6\)

Generally the standard error of the mean is mathematically represented as

     \(\sigma_{x} = \frac{\sigma}{ \sqrt{n} }\)

=>   \(\sigma_{x} = \frac{2}{ \sqrt{5} }\)  

When the  sample size is  \(n_1 = 5\) ,

Generally the standard error of the mean is mathematically represented as

     \(\sigma_{x} = \frac{\sigma}{ \sqrt{n} }\)

=>   \(\sigma_{x} = \frac{2}{ \sqrt{5} }\)  

=>   \(\sigma_{x} = 0.894\)  

Generally the probability that the sample average amount of time taken on each day is at most 11 min is mathematically represented as

      \(P( X < 11) = P( \frac{X - \mu }{\sigma } < \frac{11 - 9 }{0.8944 } )\)

\(\frac{X -\mu}{\sigma }  =  Z (The  \ standardized \  value\  of  \ X )\)

      \(P( X < 11) = P( Z < 2.24 )\)

From the z table  the area under the normal curve to the left corresponding to  2.24 is

      \(P( Z < 2.24 ) = 0.9875\)

=>   \(P( X < 11) = 0.9875\)

When the  sample size is  \(n_2 = 6\) ,

Generally the standard error of the mean is mathematically represented as

     \(\sigma_{x} = \frac{\sigma}{ \sqrt{n} }\)

=>   \(\sigma_{x} = \frac{2}{ \sqrt{6} }\)  

=>   \(\sigma_{x} = 0.816\)  

Generally the probability that the sample average amount of time taken on each day is at most 11 min is mathematically represented as

      \(P( X < 11) = P( \frac{X - \mu }{\sigma } < \frac{11 - 9 }{0.816 } )\)

\(\frac{X -\mu}{\sigma }  =  Z (The  \ standardized \  value\  of  \ X )\)

      \(P( X < 11) = P( Z < 2.45 )\)

From the z table  the area under the normal curve to the left corresponding to  2.24 is

      \(P( Z < 2.45 ) = 0.993\)

=>   \(P( X < 11) = 0.993\)

Answer:c

Step-by-step explanation is va cuz when your multiply:

Answer:

\(\sqrt[6]{2}\left(\cos\left(\frac{3\pi}{4}\right)+i\sin\left(\frac{3\pi}{4}\right)\right)\)

Step-by-step explanation:

The analysis is as attached below.

At  6 ≤ x ≤ 8, The function has a positive rate of change.

The correct option is D.

In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction

If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,

then the equation of line is

y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)

To find the slope;

m =  (y₂- y₁) / (x₂ - x₁)

Given:

A quadratic function,

h(x) = (1/8)x³ - x².

h(0) = 0

h(2) = -3

h(6) = -9

h(8) = 0

The average rate of change of the function at 0 ≤ x ≤ 8,

= h(8) - h(0)/(8 - 0)

= 0

The average rate of change at 0 ≤ x ≤ 6,

= h(6) - h(0)/(6 - 0)

= -9/6

The average rate of change of the function at 0 ≤ x ≤ 2,

= h(2) - h(0)/(2 - 0)

= -3/2

The average rate of change of the function at 6 ≤ x ≤ 8,

= h(8) - h(6)/(8 - 6)

= (0 + 9)/(2)

= 9/2

Therefore, the function has a positive rate of change at 6 ≤ x ≤ 8.

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Answer:

a) 92% probability that a randomly selected mortgage will not​ default

b) 47.22% probability that nine randomly selected mortgages will not default

c) 52.78% probability that the derivative from part​ (b) becomes​ worthless

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

And p is the probability of X happening

Suppose a randomly selected mortgage in a certain bundle has a probability of 0.08 of default.

This means that \(p = 0.08\)

(a) What is the probability that a randomly selected mortgage will not​ default?

Either it defaults, or it does not default. The sum of the probabilities of these outcomes is 1. So

0.08 + p = 1

p = 0.92

92% probability that a randomly selected mortgage will not​ default

(b) What is the probability that nine randomly selected mortgages will not default assuming the likelihood any one mortgage being paid off is independent of the​ others?

This is P(X = 0) when n = 9. So

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 0) = C_{9,0}.(0.08)^{0}.(0.92)^{9} = 0.4722\)

47.22% probability that nine randomly selected mortgages will not default.

​(c) What is the probability that the derivative from part​ (b) becomes​ worthless? That​ is, at least one of the mortgages defaults

Either none defect, or at least one does. The sum of the probabilities of these events is 100%. So

p + 47.22 = 100

p = 52.78

52.78% probability that the derivative from part​ (b) becomes​ worthless

Answer:

1: the balance after 8 years is approximately $151.78.

2:  is approximately 7%.

Step-by-step explanation:

1: The balance after t years with continuous compounding can be calculated using the formula:

B = Pe^(rt)

Where:

P = 120 dollars (initial deposit)

r = 2.5% = 0.025 (interest rate in decimal form)

t = 8 years

Substituting these values into the formula, we get:

B = 120e^(0.025*8) ≈ 151.78

Therefore, the balance after 8 years is approximately $151.78.

2: The interest rate can be found using the formula:

A = Pe^(rt)

Taking the natural logarithm of both sides and solving for r, we get:

r = ln(A/P) / t

Where:

A = 4055 dollars (final amount)

P = 1000 dollars (initial investment)

t = 20 years

Substituting these values into the formula, we get:

r = ln(4055/1000) / 20 ≈ 0.0774

Converting to a percentage and rounding to the nearest whole number, we get:

r ≈ 7%

Therefore, the interest rate, if compounded continuously, is approximately 7%.

Answer:

1. $146.57

2. 7%.

Step-by-step explanation:

1.

The formula for continuous compounding is:

A = Pe^(rt)

Where:

A = the balance after t years

P = the principal amount

r = the annual interest rate (expressed as a decimal)

t = the time in years

To use this formula, we first need to convert the annual interest rate to a decimal:

r = 2 1/2 = 2.5%

r = 2.5/100 = 0.025

Now we can plug in the values:

A = 120e^(0.025*8)

A ≈ $146.57

Therefore, the balance after 8 years is approximately $146.57

2.

The formula for continuous compounding is: A = Pe^(rt)

Where:

A = the balance after t years

P = the principal amount

r = the annual interest rate (expressed as a decimal)

t = the time in years

We can rearrange this formula to solve for the interest rate:

r = ln(A/P)/t

Where ln represents the natural logarithm.

Now we can plug in the given values:

r = ln(4055/1000)/20

r ≈ 0.069or 7.1%

Therefore, the interest rate, rounded to the nearest whole number, is 7%.

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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Problem

Which expression is equivalent to -16 -9?

A. -16 + (-9)

B. 16 + 9

C. 16 + (-9)

D. -16 + 9​

Solution

For this case we can analyze one by one the options

A. -16 + (-9)

Correct since -16 + (-9) =.-16-9

B. 16 + 9

No correct since 16 +9 is not equal to .-16-9

C. 16 + (-9)

No correct since 16 +(-9) is not equal to .-16-9

D. -16 + 9​

No correct since -16 +9 is not equal to .-16-9

Answer:

37

Step-by-step explanation:

x=-4

=2(5-(-4)2+1

=2(5+4)2+1

=2(9)2+1

=18(2)+1

=36+1

=37

If the defined b s-0 t: if the average rate of change of g on the interval 2 s x s 5 is 6, the statement that must be true is (C) g(5) - g(2) = 6.

Since the average rate of change of g on the interval 2 ≤ x ≤ 5 is 6, we know that:

Therefore, we can simplify this equation to get:

So, the statement (C) g(5) - g(2) = 6 must be true.

However, we cannot conclude any of the other statements to be true based on the given information. The average value of f on the interval 2 ≤ x ≤ 5 may or may not be 6, and we do not have enough information to determine the values of g(2) or g(5) to verify the statement (B) or statement (D). Therefore, the only statement that must be true is (C).

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Answer:

1456!!!!!!!!!!!!!!!

Step-by-step explanation:

5824 ÷ 4 = 1456

Answer: 1,456!

Step-by-step explanation: divide  5,824 ÷ 4 = 1456

The simplification of the given equation is  m/9=1/18.

Given angle m26 = 13°

m= 13°/26

  = 1/2

m/9=(1/2)/9

     = 1/(2*9)

     = 1/18

m/9=1/18

Expressions are mathematical statements with at least two words that comprise either numbers, variables, or both and are linked by an addition/subtraction operator. PEMDAS - Parentheses, Exponents, Multiplication, Division, Addition, Subtraction - is the main rule for simplifying expressions.

Simplifying expressions entails rewriting the same algebraic statement in a compact fashion with no similar terms. To simplify expressions, we combine all similar words and solve all specified brackets, if any, leaving just unlike terms in the simplified expression that cannot be reduced further.

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Answer: The answer is 31 Miles

Your welcome!

Answer:

s=2r

Step-by-step explanation:

Solution:

Given;

2q-r=p

r=q-s

or,q=r+s

p=q+2r

To prove: s=2r

Now,

2q-r=p

or,2(r+s)-r=q+2r

or,2r+2s-r=r+s+2r

or,r+2s=3r+s

or,s=2r

PROVED

If you want any other solutions follow me

THANK YOU

By using the substitution method we can prove s = 2r.

Given,

2p - r = p

r = q - s

p = q + 2r

We need to prove s = 2r.

It is a method where we substitute the value of one variable in one equation for the same variable in the other equation.

Example:

x + 4 = y _____(1)

x = y - 4

x + 5 = 2y ______(2)

Putting x = y - 4 in (2)

y - 4 + 5 = 2y

-4 + 5 = 2y - y

1 = y

y = 1

Prove s = 2r.

We have,

2q - r = p ____(1)

r = q - s _____(2)

p = q + 2r ______(3)

From (1) and (2)

Substituting (2) in (1)

2q - (q - s) = p

2q - q + s = p

q + s = p _____(4)

Putting (4) in (3)

q + s = q + 2r

q - q + s = 2r

s = 2r

Hence proved.

Thus we can prove s = 2r.

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