choose the answer that best describes the graph & why.

a) The probability of losing money when standard deviation is 5% is 2.27%

b) The probability of losing money when standard deviation is 10% is 15.87%

Given,

There is an investment whose return is normally distributed.

The mean of the distribution = 10%

The standard deviation of the distribution = 5%

a) We have to determine the probability of losing money:

Lets take,

x = -0.005%

Now,

P(z ≤ (-10.005 / 5) ) = P(z ≤ - 2.001) = 0.02275

Now,

0.02275 × 100 = 2.27

That is,

The probability of losing money is 2.27%

b) We have to find the probability of losing money when the standard deviation is 10%

Let x be 0.01%

Now,

P(z ≤ (-10.01/10)) = P(z ≤ -1.001) = 0.15866

Now,

0.15866 × 100 = 15.87

That is,

The probability of losing money is 15.87%

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It is 45 square millimeters. For future reference, you solve the area of a triangle by halfing the base and multiplying half the base by the height.

Answer:

graph D.

Step-by-step explanation:

The inequality that is being shown in the question means that the value of x is equal to or greater than 9. Greater values are represented as all of the values to the right of a certain number. On a number line "equal to" is represented by  a closed circle. Therefore, with this knowledge we can see that out of all of the provided options the only one that follows these set of rules would be graph D.

Answer:

We will $ 6.25 of interest every 30 days.

Step-by-step explanation:

Please notice that a month equals 30 days and that earning due to interests will be only effective after each 30th day. The simple interest formula is defined by the following formula:

\(I = \frac{C\cdot r\cdot t}{100}\) (1)

Where:

\(C\) - Borrowed money, measured in monetary units.

\(r\) - Simple interest rate, measured in percentage.

\(t\) - Number of periods, measured in months.

\(I\) - Interested gain due to borrowed money, meausred in monetary units.

If we know that \(C = 250\), \(r = 2.5\) and \(t = 1\), then the interest earned is:

\(I = \frac{(250)\cdot (2.5)\cdot (1)}{100}\)

\(I = 6.25\)

We will $ 6.25 of interest every 30 days.

\(2\sqrt[3]{3} \cdot 3\sqrt 2\\\\=6 \cdot \sqrt[3]{3} \cdot \sqrt 2\\\\=6\cdot 3^{\tfrac 13} \cdot 2^{\tfrac 12}\\\\\approx 12.24\)

Answer: y = 6, x = 5

Step-by-step explanation:

3x + 7y = 57 −6x + 2y = −18

2*(3x + 7y = 57)−6x + 2y = −186x+14y=114−6x+2y=−1816y=96y = 6

3x + 7(6) = 57 ; 3 x = 57 – 42 ; 3x = 15 ; x = 5

CHECK:−6(5) + 2(6) = −18 ; -30 + 12 = - 18 ; -18 -= -18

CORRECT! Solution Set: y = 6, x = 5

The solution of the given system of equations is y = 3, x = 10

We have given a system of linear equation

3x-7y=9.....(1)

3x-9y=3...(2)

1. The substitution method

2. The elimnation method

3. Graphing method

We use the elimination method

subtract equation 1 from  2

   3x - 7y = 9

-

    3x - 9y = 3

    0x+2y=6

2y=6...(3)

y=6/2=3

Use this value of y in equation 1 so we get,

3x-7y=9

plug value of y

3x-7(3)=9

3x-21=9

add like terms

3x=9+21

3x=30

divide bot side by 3

x=10

So the solution set is y=3 and x=10

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The quadratic equation y = (2 / 5) · x² + (2 / 5) · x - 8 contains the points (- 5, 0), (0, - 8) and (4, 0).

In this problem we find the case of a parabola, parabolae are defined by quadratic equations of the form:

y = a · x² + b · x + c

Where:

First, write the points associated with the parabola:

(x₁, y₁) = (- 5, 0), (x₂, y₂) = (0, - 8), (x₃, y₃) = (4, 0)

Second, create a system of linear equations:

25 · a - 5 · b + c = 0

c = - 8

16 · a + 4 · b + c = 0

Third, resolve the system by numerical methods:

(a, b, c) = (2 / 5, 2 / 5, - 8)

Fourth, write the resulting quadratic equation:

y = (2 / 5) · x² + (2 / 5) · x - 8

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Answer: 24% of students

Step-by-step explanation:

6 students divided by 25 total students = 0.24. You would multiply 0.24 by 100 or move the decimal two places to the right to get the percentage. In this case, the percentage would be 24%. 24% of students do not play spring sports.

\(6/25 = 0.24 *100 = 24 percent\)

Answer:

last one

Step-by-step explanation:

the rest aren't exponential

Answer:

y=2x-3

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

294 inches

Step-by-step explanation:

Similar figures have congruent corresponding angles and proportional corresponding sides.

Answer:

\(Estimated\ Commission = \$618\)

\(Exact\ Commission = \$592.25\)

Step-by-step explanation:

Given

\(Commission = \$5.75\)

\(Items = 103\)

Required

Find the estimate and exact commission

Estimate Commission

First, we need to approximate the given commission

\(Commission = \$6\)

\(Estimated\ Commission = Commission * Items\)

\(Estimated\ Commission = \$6 * 103\)

\(Estimated\ Commission = \$618\)

Exact Commission

\(Exact\ Commission = Actual\ Commission * Items\)

\(Exact\ Commission = \$5.75 * 103\)

\(Exact\ Commission = \$592.25\)

Answer:

7/8 , 5/6

Explanation:

7/8 , 5/6 are the only fractions that are not equivalent fractions as when they are simplified they don't share the same fraction. Hope this helps.

Answer:

Natural numbers

Step-by-step explanation:

the positive integers (whole numbers) 1, 2, 3, etc., and sometimes zero as well.

Answer:

15.  125

16.   160

17. 110

18. 150

19. 35

20. 80

Step-by-step explanation:

This should work, if not, well sorry

C. The point estimate of the difference between the two population means is 2.

D. The 90% confidence interval estimate of the difference between the two population means is (1.748, 0.867)

Given that:

Sample 1 mean (x1) = 9

Sample 2 mean (x2) = 7

Sample 1 standard deviation (σ1^2) = 2.28

Sample 2 standard deviation (σ2^2) = 1.79

C. To find point estimate of the difference between the two population   means.

sample mean(x1) - sample mean(x 2)

 = 9 - 7

= 2

Therefore, point estimate = 2

D. To find 90% confidence interval estimate of the difference between the two population means

90% confidence for 't'

df = (n1 + n2) - 2

   = 12-2

   = 10

90%  confidence with df = 10 is t

t = 1.812

point estimate + 1 - t * \(\sqrt{\frac{s^2_{1} }{n_{1} } + \frac{s^2_{2} }{n_{2} } }\)

2 + 1 - 1.812*\(\sqrt{\frac{2.28^2}{6} + \frac{1.79^2}{6} }\)

3 - 1.812 *\(\sqrt{0.866 + 0.534}\)

1.188 * 0.9305 + 0.7307

(1.748, 0.867)

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Answer:

1=c,2=a,3=b

uno es C, dos es A, tres es B

Answer:

  1

Step-by-step explanation:

You want to know the value of i^4.

The fourth power of i, √(-1), can be found the same way the value of any fourth power can be found: carry out the multiplication.

  i^4 = i·i·i·i = -1·i·i = -i·i = -(-1) = 1

The fourth power of i is 1.

__

Additional comment

As you can see from the evaluation process, ...

  i¹ = i

  i² = -1 . . . . . definition of i

  i³ = -i

  i⁴ = 1

The sequence repeats for higher powers.

Answer:

(x − π)⁷ / 5040

(x − 1)³ / 16

Step-by-step explanation:

Taylor series expansion of a function is:

f(x) = ∑ₙ₌₀°° f⁽ⁿ⁾(x₀) / n! (x − x₀)ⁿ

where f⁽ⁿ⁾(x₀) is the nth derivative evaluated at x₀.

For the first problem, f(x) = sin x and x₀ = π.  We want the seventh degree term, so n = 7.

The seventh degree term is therefore: f⁽⁷⁾(π) / 7! (x − π)⁷

Find the seventh derivative of sin x:

f(x) = sin x

f⁽¹⁾(x) = cos x

f⁽²⁾(x) = -sin x

f⁽³⁾(x) = -cos x

f⁽⁴⁾(x) = sin x

f⁽⁵⁾(x) = cos x

f⁽⁶⁾(x) = -sin x

f⁽⁷⁾(x) = -cos x

Evaluated at π, f⁽⁷⁾(x) = 1.  So the seventh degree term is (x − π)⁷ / 5040.

For the second problem, f(x) = √x and x₀ = 1.  We want the third degree term,  so n = 3.

The third degree term is therefore: f⁽³⁾(1) / 3! (x − 1)³

Find the third derivative of √x:

f(x) = √x

f⁽¹⁾(x) = ½ x^-½

f⁽²⁾(x) = -¼ x^-³/₂

f⁽³⁾(x) = ⅜ x^-⁵/₂

Evaluated at 1, f⁽³⁾(x) = ⅜.  So the third degree term is (x − 1)³ / 16.

Answer:

b

Step-by-step explanation:

Hey there!

y = -8x

→ -50 = -8(3)

→ -8(3) = -50

→ -8(3) = -24

→ -24 ≠ -50

Yes and no but mainly no because -24 doesn’t equal -50 (the y-intercept)

Answer: NO

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

Step-by-step explanation:

Given:

Find the composite function (g·h)(t):

Find (g·h)(-4 + t):

The given information is,

→ g(t) = t + 5

→ h(t) = 3t - 2

Now we have to,

find the composite function (g•h)(t),

→ (g•h)(t)

→ g(h(t))

→ (3t - 2) + 5

→ 3t + 3

Let's find the (g•h)(-4 + t):

→ (g•h)(-4 + t)

→ g(h(-4 + t))

→ 3(-4 + t) + 3

→ -12 + 3t + 3

→ 3t - 9

Hence, the value is 3t - 9.

Answer:

15 - 4a =2a  or  15= 6a  or a = 15:6    a =2.5

Answer:so just add them all up to get your answer

Step-by-step explanation:

Answer:

15.36

Step-by-step explanation:

In this equation, we will be using tangent, which is opposite over adjacent. In this case, the "opposite" will be x, and the "adjacent" will be 12. "θ" means the degrees or measurements of the angle.

To find the missing side of the triangle, we will set up a function. The function is:

Tan (θ) = opposite/adjacent

After plugging in the numbers and variables it will be:

Tan(52) = x/12

Then, we would multiply the 12 to both sides.

12 Tan(52) = x

Then we can plug it into a calculator. We should get 15.3592. We would then round it to the nearest hundredth, which is 15.36.

Answer:

Calculated value Z = 2.1097 > 1.96 at 0.05 level of significance

There is a difference between the means

Step-by-step explanation:

Step(i):-

Given that mean of the Population = 5.9pounds/square inch

Given mean of the sample = 6.0pounds/square inch

Given that variance of the Population = 0.36

The standard deviation of the Population = √0.36 =0.6

critical value (Z₀.₀₅)= 1.96

Step(ii):-

Null Hypothesis:H₀: x⁻ = μ

Alternative Hypothesis:H₁:  x⁻ ≠ μ

Test statistic

              \(Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }\)

               \(Z = \frac{6.0-5.9 }{\frac{0.6}{\sqrt{160} } }\)

              Z  =  2.1097

Final answer:-

Calculated value Z = 2.1097 > 1.96 at 0.05 level of significance

The null hypothesis is rejected

There is a difference between the means