Function Composition:
Let the function [tex]f(x)= 3x + 2[/tex] and [tex]g(x) = \frac{x+3}{2x-10}[/tex] , determine:

Answer:

100% probability of selecting a sample of 65 one-bedroom apartments and finding the mean to be at least $2,095 per month

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean of $2,275 and a standard deviation of $290.

This means that [tex]\mu = 2275, \sigma = 290[/tex]

Sample of 65:

This means that [tex]n = 65, s = \frac{290}{\sqrt{65}}[/tex]

Finding the mean to be at least $2,095 per month

This is 1 subtracted by the p-value of Z when X = 2095. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{2095 - 2275}{\frac{290}{\sqrt{65}}}[/tex]

[tex]Z = -5[/tex]

[tex]Z = -5[/tex] has a p-value of 0.

1 - 0 = 1

100% probability of selecting a sample of 65 one-bedroom apartments and finding the mean to be at least $2,095 per month

Answer:

Da Answer is Suppose that two investors A and B have exhibited the indifference probabilities as shown in table below. Indifference probability Investor A Investor B Net return (RM) -2000 0 0 - 1000 0.70 0.10 0 0.80 0.20 1000 0.85 0.30 2000 0.90 0.50 3000 0.95 0.60 4000 1.00 1.00 a) Determine the utility value (for each monetary value) for each investor and fill it in table above. b) Graph the utility functions for both investors and categorize each investor as either a risk- averse person or a risk seeker. c) Suppose that investor A has the chance to invest in one of two ventures. Venture I can produce a net return of RM3000 with probability 0.40 or a net loss of RM1000 with probability 0.60. Venture II can produce a net return of RM2000 with probability 0.60 and no return with probability 0.40. Based on utility function in (b), use the expected utility criterion to determine the venture investor A should select. What is the expected monetary value associated with the selected venture?

Step-by-step explanation:

LESSSSSSS GOOOOOOOOOO

Answer:

16

Step-by-step explanation:

The  following is closest to the distance that the tip of the hand travels as it moves from 12 to 4 should be considered as the 16 cm.

Since the minute hans on the clock shown below has a length of 7.5 cm

And, the tip of the hand travels as it moves from 12 to 4

So,

For full rotation it should be like [tex]2\pi[/tex] radians

Since angle turned by minute hand in 5 minutes so it should be like [tex]= 2\pi \div 12[/tex] radians

So

[tex]= 7.5 \times 2.094[/tex]

= 15.7 cm

Learn more about distance here: https://brainly.com/question/13448007

Answer:

A

Step-by-step explanation:

Answer:

its d , Late payment interest

Step-by-step explanation:

Answer:

A (obviously)

Step-by-step explanation:

Info Given

Answer:

A = Not a paired sample

B = paired sample

C = Not a paired sample

Step-by-step explanation:

Paired samples also commonly referred to as dependent samples are often characterized by having to different data points which are taken at different times, location and so on. Such that each pair of data points or observation can be matched based on the basis of the subject or sample name usually for the sake of analysing if any statistical difference exists between the occurrence of each observation.

For the instances given above ;

a.) this isn't a paired sample, because Professor Quick and Professor Quacks students are different, hence each student has only one reading and as such a match of the two test scores cannot be made on the basis of student name or identity. Hence, it is not a paired sample

B.) This is a paired sample, two different readings are available for each students ; one at the beginning, the other at the end. Hence, it is a paired sample

C.) This is not a paired sample, because the subjects used to obtain the weight of 10 year old in 1994 aren't the same samples used in 2009

Answer:

true

Step-by-step explanation:

.................

Answer:

98000

Step-by-step explanation:

Answer:

1736.58

Step-by-step explanation:

16.86 x 103 = 1736.58

Answer:

1736.58

Step-by-step explanation:

Answer:

2t=29

Step-by-step explanation:

the phrase is at most means we set the constant 29 less than or equal to the term 2t using the (<=) operator

Answer:

hold on ill edit this once i get answer!! <3

Step-by-step explanation:

Answer:

Thats cool man.

Step-by-step explanation:

Answer:

[tex]a^2(ab^{3}-b^{2}-c^{2})[/tex]

Step-by-step explanation:

Given

[tex]a^{3}b^{3}-a^{2}b^{2}-a^{2}c^{2}[/tex]

Required

Factor

[tex]a^{3}b^{3}-a^{2}b^{2}-a^{2}c^{2}[/tex]

Factor out [tex]a^2[/tex]

[tex]a^2(ab^{3}-b^{2}-c^{2})[/tex]

The expression cannot be further factored

9514 1404 393

Answer:

Step-by-step explanation:

Reflection over the y-axis and translation 3 right is modeled by the transformation ...

  (x, y) ⇒ (-x +3, y)

Then the image end points are ...

  A(2, -5) ⇒ A'(-2+3, -5) = A'(1, -5)

  B(5, -3) ⇒ B'(-5+3, -3) = B'(-2, -3)

_____

In the attached figure, the reflection is shown as A'B' in light purple. The line after the final translation is shown as A"B" in blue.

Answer:

y=-4x

Step-by-step explanation:

Answer: 0.6

Step-by-step explanation:

Answer:

1², 2²,3², 4², 5², 6², 7², 8², 9², 10², 11², 12², 13², 14², 15², 16², 17², 18², 19², 20²,........

Each number is multiplied by itself.

Answer:

[m] slope = -2

[b] y-intercept = -1 ; (0, -1)

[y = mx + b] slope-intercept = -2x – 1

Step-by-step explanation:

Given the algebraic equation 6x + 3y = -3 currently in standard form:

Ax + By = C →

By = C – Ax →

By = -Ax + C →

y = -Ax / B + C / B →

y = (-A / B)x + (C / B) →

y = mx + b →

m = -A / B. b = C / B.

6x + 3y = -3

↓ ↓ ↓

A = 6. B = 3. C = -3.

[Substitute]

m = -A / B. b = C / B

m = -(6) / (3). b = (-3) / (3)

↓ ↓

m = -2. b = -1.

↓. ↓

Slope = -2. y-intercept = -1.

_______________________

Slope is ∆y/∆x [change in y over the change in x] = y2 – y1 / x2 – x1.

The y-intercept is the point where x is 0.

The easiest way to determine this is to substitute 0 in for x in an equation and solve for y.

This means that the y intercept in coordinate form is (0, b).

Answer:

F. None of the above.

Step-by-step explanation:

Let the null and alternate hypothesis be

H0: p1 ≥ p2 against the claim Ha: p1 < p2

the significance level is 0.1

The critical region is z < z∝= 1.28

The test statistic is

Z= ( p^1-p^2)- (p1-p2)/√p1^q1^/n1 + p2^q2^/n2

Here n1= 45 ,   n2= 75

         p1= 0.12         p2= 0.14

         q1= 0.88        q2= 0.86

z= 0.12- 0.14/√0.12*0.88/45 +0.14*0.86/75

Z=  0.02/ √0.00235 + 0.00161

Z=  0.02/0.062891

z= 0.318

The calculated value of z= 0.318  lies in the critical region z < 1.28

therefore accept Ha.

All of the options are incorrect as the critical value for one tailed test for 0.1 is 1.28 .

Answer:

x = 46°

Step-by-step explanation:

Appling the principle of supplementary angle in Geomentry.

Supplementary angle: These are angles that sum up to 180°

From the diagram above, x and 134° are supplementry because they sum up to 180°.

Therefore,

134+x = 180 (Supplementary angle)

Solve for x

x = 180-134

x = 46°

Therefore, the value of the missing angle is 46°

Answer:

49.52

Step-by-step explanation:

Answer:

49.52 !!

Step-by-step explanation:

They’re correct ⬆️

Answer:

To subtract any percentage from a number, simply multiply that number by the percentage you want to remain. In other words, multiply by 100 percent minus the percentage you want to subtract, in decimal form. To subtract 20 percent, multiply by 80 percent (0.8)

Step-by-step explanation:

Answer:

15/5

Step-by-step explanation:

because 7.5 ÷ 4.5 = 1.66667

5 ÷ 3 = 1.66667

and 45 ÷ 27 = 1.66667

but 15 ÷ 5 = 3 therefore it's the off one out.

The distance between two points is given by the expression,

[tex]d = \sqrt{ {(y2 - y1)}^{2} + {(x2 - x1)}^{2} } [/tex]

Plugging in our values,

[tex]d \: = \sqrt{ {(1 - 9)}^{2} + {( - 4 - - 1)}^{2} } \\ d \: = \sqrt{ {( - 8)}^{2} + {( - 3)}^{2} } \\ d \: = \sqrt{64 + 9} \\ d = \sqrt{73} [/tex]

So, the distance between the points in it's exact radical form is

[tex] \sqrt{73} \: units[/tex]

Answer:

C. 216°

Step-by-step explanation:

I calculated it logically